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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN468-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n026.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 02:10:17 PM UTC 2026

% Result   : Unsatisfiable 0.18s 0.30s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :  270
% Syntax   : Number of formulae    : 1050 (  31 unt; 146 def)
%            Number of atoms       : 3394 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3958 (1614   ~;2198   |;   0   &)
%                                         ( 146 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  177 ( 176 usr; 173 prp; 0-1 aty)
%            Number of functors    :   25 (  25 usr;  25 con; 0-0 aty)
%            Number of variables   :  216 (   0 sgn 216   !;   0   ?)

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

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

fof(f8,negated_conjecture,
    ( ~ hskp24
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

fof(f33,negated_conjecture,
    ( hskp31
    | hskp27
    | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f34,negated_conjecture,
    ( hskp9
    | hskp16
    | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f35,negated_conjecture,
    ( hskp3
    | hskp23
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f40,negated_conjecture,
    ( hskp5
    | hskp16
    | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ( hskp23
    | hskp12
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f44,negated_conjecture,
    ( ~ hskp31
    | c0_1(a367) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp31
    | c1_1(a367) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp31
    | c2_1(a367) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f50,negated_conjecture,
    ( ~ hskp29
    | c0_1(a301) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp29
    | c2_1(a301) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp29
    | c3_1(a301) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( ~ hskp28
    | c1_1(a296) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( ~ hskp28
    | c2_1(a296) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f55,negated_conjecture,
    ( ~ hskp28
    | c3_1(a296) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( ~ hskp27
    | c1_1(a368) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f58,negated_conjecture,
    ( ~ hskp24
    | c1_1(a341) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp23
    | c1_1(a337) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp23
    | c3_1(a337) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp21
    | c3_1(a330) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f64,negated_conjecture,
    ( ~ hskp18
    | c0_1(a325) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( ~ hskp16
    | c2_1(a315) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( ~ hskp15
    | c0_1(a311) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( ~ hskp15
    | c1_1(a311) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f70,negated_conjecture,
    ( ~ hskp13
    | c0_1(a308) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp12
    | c2_1(a307) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp11
    | c1_1(a306) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp11
    | c3_1(a306) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f76,negated_conjecture,
    ( ~ hskp9
    | c0_1(a304) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp9
    | c1_1(a304) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp8
    | c0_1(a300) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp8
    | c3_1(a300) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp7
    | c0_1(a299) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp7
    | c3_1(a299) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f83,negated_conjecture,
    ( ~ hskp5
    | c1_1(a297) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ hskp5
    | c2_1(a297) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ hskp4
    | c0_1(a295) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( ~ hskp3
    | c0_1(a294) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ hskp3
    | c2_1(a294) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ hskp2
    | c3_1(a293) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f91,negated_conjecture,
    ( ~ hskp0
    | c1_1(a291) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ c0_1(a368)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ c2_1(a368)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ c0_1(a359)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ c1_1(a359)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ c3_1(a359)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f99,negated_conjecture,
    ( ~ c0_1(a341)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c3_1(a341)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ c2_1(a337)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ c1_1(a331)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ c2_1(a331)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ c3_1(a331)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ c0_1(a330)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c2_1(a330)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c0_1(a329)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c1_1(a329)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ c2_1(a329)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f111,negated_conjecture,
    ( ~ c1_1(a325)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ c3_1(a325)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ c0_1(a323)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c2_1(a323)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c3_1(a323)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c0_1(a315)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c3_1(a315)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c3_1(a311)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f120,negated_conjecture,
    ( ~ c1_1(a308)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c2_1(a308)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c1_1(a307)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ c3_1(a307)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ c0_1(a306)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f126,negated_conjecture,
    ( ~ c2_1(a304)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ c1_1(a300)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ c2_1(a299)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f131,negated_conjecture,
    ( ~ c0_1(a297)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( ~ c2_1(a295)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f133,negated_conjecture,
    ( ~ c3_1(a295)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ( ~ c1_1(a294)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f135,negated_conjecture,
    ( ~ c1_1(a293)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f136,negated_conjecture,
    ( ~ c2_1(a293)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f138,negated_conjecture,
    ( ~ c2_1(a291)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f139,negated_conjecture,
    ( ~ c3_1(a291)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f140,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | hskp4
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f147,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp11
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp15
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f149,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp0
      | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f151,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp15
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f152,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp8
      | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f153,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f155,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp4
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f156,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp3
      | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f157,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp11
      | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f158,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp24
      | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f160,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp9
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f161,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp15
      | hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f164,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f165,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp3
      | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f166,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp8
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f167,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp18
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f170,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

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

fof(f173,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X0)
      | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f178,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f180,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f184,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f185,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f187,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c2_1(X1)
      | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

fof(f188,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c2_1(X1)
      | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

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

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

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

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

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

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

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

fof(f197,plain,
    ( hskp31
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f1]) ).

fof(f201,plain,
    ( ~ hskp27
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f5]) ).

fof(f204,plain,
    ( hskp24
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f8]) ).

fof(f229,plain,
    ( ~ hskp31
    | hskp27
    | ~ hskp24 ),
    inference(consistent_polarity_flipping,[],[f33]) ).

fof(f230,plain,
    ( ~ hskp9
    | ~ hskp16
    | hskp22 ),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f231,plain,
    ( hskp3
    | hskp23
    | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f35]) ).

fof(f236,plain,
    ( hskp5
    | ~ hskp16
    | hskp22 ),
    inference(consistent_polarity_flipping,[],[f40]) ).

fof(f237,plain,
    ( hskp23
    | ~ hskp12
    | hskp2 ),
    inference(consistent_polarity_flipping,[],[f41]) ).

fof(f240,plain,
    ( hskp31
    | ~ c0_1(a367) ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f241,plain,
    ( hskp31
    | ~ c1_1(a367) ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f242,plain,
    ( hskp31
    | ~ c2_1(a367) ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f246,plain,
    ( hskp29
    | ~ c0_1(a301) ),
    inference(consistent_polarity_flipping,[],[f50]) ).

fof(f247,plain,
    ( hskp29
    | ~ c2_1(a301) ),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f248,plain,
    ( hskp29
    | ~ c3_1(a301) ),
    inference(consistent_polarity_flipping,[],[f52]) ).

fof(f249,plain,
    ( hskp28
    | ~ c1_1(a296) ),
    inference(consistent_polarity_flipping,[],[f53]) ).

fof(f250,plain,
    ( hskp28
    | ~ c2_1(a296) ),
    inference(consistent_polarity_flipping,[],[f54]) ).

fof(f251,plain,
    ( hskp28
    | ~ c3_1(a296) ),
    inference(consistent_polarity_flipping,[],[f55]) ).

fof(f252,plain,
    ( ~ hskp27
    | ~ c1_1(a368) ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f254,plain,
    ( hskp24
    | ~ c1_1(a341) ),
    inference(consistent_polarity_flipping,[],[f58]) ).

fof(f255,plain,
    ( ~ hskp23
    | ~ c1_1(a337) ),
    inference(consistent_polarity_flipping,[],[f59]) ).

fof(f256,plain,
    ( ~ hskp23
    | ~ c3_1(a337) ),
    inference(consistent_polarity_flipping,[],[f60]) ).

fof(f257,plain,
    ( hskp21
    | ~ c3_1(a330) ),
    inference(consistent_polarity_flipping,[],[f61]) ).

fof(f260,plain,
    ( hskp18
    | ~ c0_1(a325) ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f261,plain,
    ( hskp16
    | ~ c2_1(a315) ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f262,plain,
    ( hskp15
    | ~ c0_1(a311) ),
    inference(consistent_polarity_flipping,[],[f66]) ).

fof(f263,plain,
    ( hskp15
    | ~ c1_1(a311) ),
    inference(consistent_polarity_flipping,[],[f67]) ).

fof(f266,plain,
    ( hskp13
    | ~ c0_1(a308) ),
    inference(consistent_polarity_flipping,[],[f70]) ).

fof(f267,plain,
    ( hskp12
    | ~ c2_1(a307) ),
    inference(consistent_polarity_flipping,[],[f71]) ).

fof(f268,plain,
    ( ~ hskp11
    | ~ c1_1(a306) ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f269,plain,
    ( ~ hskp11
    | ~ c3_1(a306) ),
    inference(consistent_polarity_flipping,[],[f73]) ).

fof(f272,plain,
    ( hskp9
    | ~ c0_1(a304) ),
    inference(consistent_polarity_flipping,[],[f76]) ).

fof(f273,plain,
    ( hskp9
    | ~ c1_1(a304) ),
    inference(consistent_polarity_flipping,[],[f77]) ).

fof(f274,plain,
    ( ~ hskp8
    | ~ c0_1(a300) ),
    inference(consistent_polarity_flipping,[],[f78]) ).

fof(f275,plain,
    ( ~ hskp8
    | ~ c3_1(a300) ),
    inference(consistent_polarity_flipping,[],[f79]) ).

fof(f276,plain,
    ( hskp7
    | ~ c0_1(a299) ),
    inference(consistent_polarity_flipping,[],[f80]) ).

fof(f277,plain,
    ( hskp7
    | ~ c3_1(a299) ),
    inference(consistent_polarity_flipping,[],[f81]) ).

fof(f279,plain,
    ( ~ hskp5
    | ~ c1_1(a297) ),
    inference(consistent_polarity_flipping,[],[f83]) ).

fof(f280,plain,
    ( ~ hskp5
    | ~ c2_1(a297) ),
    inference(consistent_polarity_flipping,[],[f84]) ).

fof(f281,plain,
    ( hskp4
    | ~ c0_1(a295) ),
    inference(consistent_polarity_flipping,[],[f85]) ).

fof(f282,plain,
    ( ~ hskp3
    | ~ c0_1(a294) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f283,plain,
    ( ~ hskp3
    | ~ c2_1(a294) ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f284,plain,
    ( ~ hskp2
    | ~ c3_1(a293) ),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f287,plain,
    ( hskp0
    | ~ c1_1(a291) ),
    inference(consistent_polarity_flipping,[],[f91]) ).

fof(f288,plain,
    ( c0_1(a368)
    | ~ hskp27 ),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f289,plain,
    ( c2_1(a368)
    | ~ hskp27 ),
    inference(consistent_polarity_flipping,[],[f93]) ).

fof(f290,plain,
    ( c0_1(a359)
    | ~ hskp26 ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f291,plain,
    ( c1_1(a359)
    | ~ hskp26 ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f292,plain,
    ( c3_1(a359)
    | ~ hskp26 ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f295,plain,
    ( c0_1(a341)
    | hskp24 ),
    inference(consistent_polarity_flipping,[],[f99]) ).

fof(f296,plain,
    ( c3_1(a341)
    | hskp24 ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f297,plain,
    ( c2_1(a337)
    | ~ hskp23 ),
    inference(consistent_polarity_flipping,[],[f101]) ).

fof(f298,plain,
    ( c1_1(a331)
    | ~ hskp22 ),
    inference(consistent_polarity_flipping,[],[f102]) ).

fof(f299,plain,
    ( c2_1(a331)
    | ~ hskp22 ),
    inference(consistent_polarity_flipping,[],[f103]) ).

fof(f300,plain,
    ( c3_1(a331)
    | ~ hskp22 ),
    inference(consistent_polarity_flipping,[],[f104]) ).

fof(f301,plain,
    ( c0_1(a330)
    | hskp21 ),
    inference(consistent_polarity_flipping,[],[f105]) ).

fof(f302,plain,
    ( c2_1(a330)
    | hskp21 ),
    inference(consistent_polarity_flipping,[],[f106]) ).

fof(f303,plain,
    ( c0_1(a329)
    | hskp20 ),
    inference(consistent_polarity_flipping,[],[f107]) ).

fof(f304,plain,
    ( c1_1(a329)
    | hskp20 ),
    inference(consistent_polarity_flipping,[],[f108]) ).

fof(f305,plain,
    ( c2_1(a329)
    | hskp20 ),
    inference(consistent_polarity_flipping,[],[f109]) ).

fof(f307,plain,
    ( c1_1(a325)
    | hskp18 ),
    inference(consistent_polarity_flipping,[],[f111]) ).

fof(f308,plain,
    ( c3_1(a325)
    | hskp18 ),
    inference(consistent_polarity_flipping,[],[f112]) ).

fof(f309,plain,
    ( c0_1(a323)
    | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f113]) ).

fof(f310,plain,
    ( c2_1(a323)
    | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f114]) ).

fof(f311,plain,
    ( c3_1(a323)
    | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f115]) ).

fof(f312,plain,
    ( c0_1(a315)
    | hskp16 ),
    inference(consistent_polarity_flipping,[],[f116]) ).

fof(f313,plain,
    ( c3_1(a315)
    | hskp16 ),
    inference(consistent_polarity_flipping,[],[f117]) ).

fof(f314,plain,
    ( c3_1(a311)
    | hskp15 ),
    inference(consistent_polarity_flipping,[],[f118]) ).

fof(f316,plain,
    ( c1_1(a308)
    | hskp13 ),
    inference(consistent_polarity_flipping,[],[f120]) ).

fof(f317,plain,
    ( c2_1(a308)
    | hskp13 ),
    inference(consistent_polarity_flipping,[],[f121]) ).

fof(f318,plain,
    ( c1_1(a307)
    | hskp12 ),
    inference(consistent_polarity_flipping,[],[f122]) ).

fof(f319,plain,
    ( c3_1(a307)
    | hskp12 ),
    inference(consistent_polarity_flipping,[],[f123]) ).

fof(f320,plain,
    ( c0_1(a306)
    | ~ hskp11 ),
    inference(consistent_polarity_flipping,[],[f124]) ).

fof(f322,plain,
    ( c2_1(a304)
    | hskp9 ),
    inference(consistent_polarity_flipping,[],[f126]) ).

fof(f323,plain,
    ( c1_1(a300)
    | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f127]) ).

fof(f324,plain,
    ( c2_1(a299)
    | hskp7 ),
    inference(consistent_polarity_flipping,[],[f128]) ).

fof(f327,plain,
    ( c0_1(a297)
    | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f131]) ).

fof(f328,plain,
    ( c2_1(a295)
    | hskp4 ),
    inference(consistent_polarity_flipping,[],[f132]) ).

fof(f329,plain,
    ( c3_1(a295)
    | hskp4 ),
    inference(consistent_polarity_flipping,[],[f133]) ).

fof(f330,plain,
    ( c1_1(a294)
    | ~ hskp3 ),
    inference(consistent_polarity_flipping,[],[f134]) ).

fof(f331,plain,
    ( c1_1(a293)
    | ~ hskp2 ),
    inference(consistent_polarity_flipping,[],[f135]) ).

fof(f332,plain,
    ( c2_1(a293)
    | ~ hskp2 ),
    inference(consistent_polarity_flipping,[],[f136]) ).

fof(f334,plain,
    ( c2_1(a291)
    | hskp0 ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f335,plain,
    ( c3_1(a291)
    | hskp0 ),
    inference(consistent_polarity_flipping,[],[f139]) ).

fof(f336,plain,
    ! [X0] :
      ( ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | hskp3 ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f338,plain,
    ! [X0] :
      ( ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ hskp4
      | ~ hskp28 ),
    inference(consistent_polarity_flipping,[],[f142]) ).

fof(f343,plain,
    ! [X0] :
      ( c1_1(X0)
      | ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | hskp11
      | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f147]) ).

fof(f344,plain,
    ! [X0] :
      ( c2_1(X0)
      | ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ hskp15
      | hskp8 ),
    inference(consistent_polarity_flipping,[],[f148]) ).

fof(f345,plain,
    ! [X0] :
      ( c0_1(X0)
      | ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ hskp0
      | hskp17 ),
    inference(consistent_polarity_flipping,[],[f149]) ).

fof(f347,plain,
    ! [X0] :
      ( c0_1(X0)
      | ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ hskp15
      | ~ hskp28 ),
    inference(consistent_polarity_flipping,[],[f151]) ).

fof(f348,plain,
    ! [X0] :
      ( c2_1(X0)
      | ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | hskp8
      | hskp23 ),
    inference(consistent_polarity_flipping,[],[f152]) ).

fof(f349,plain,
    ! [X0] :
      ( c0_1(X0)
      | c2_1(X0)
      | ndr1_0
      | ~ c3_1(X0)
      | ~ hskp20 ),
    inference(consistent_polarity_flipping,[],[f153]) ).

fof(f351,plain,
    ! [X0] :
      ( c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | ~ c0_1(X0)
      | ~ hskp4
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f155]) ).

fof(f352,plain,
    ! [X0] :
      ( c1_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c0_1(X0)
      | hskp3
      | hskp2 ),
    inference(consistent_polarity_flipping,[],[f156]) ).

fof(f353,plain,
    ! [X0] :
      ( c1_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c0_1(X0)
      | hskp11
      | hskp17 ),
    inference(consistent_polarity_flipping,[],[f157]) ).

fof(f354,plain,
    ! [X0] :
      ( c0_1(X0)
      | c2_1(X0)
      | ndr1_0
      | ~ c1_1(X0)
      | ~ hskp24
      | ~ hskp16 ),
    inference(consistent_polarity_flipping,[],[f158]) ).

fof(f356,plain,
    ! [X0] :
      ( c0_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c1_1(X0)
      | ~ hskp9
      | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f160]) ).

fof(f357,plain,
    ! [X0] :
      ( c0_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c1_1(X0)
      | ~ hskp15
      | ~ hskp29 ),
    inference(consistent_polarity_flipping,[],[f161]) ).

fof(f360,plain,
    ! [X0] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | hskp23 ),
    inference(consistent_polarity_flipping,[],[f164]) ).

fof(f361,plain,
    ! [X0] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | hskp3
      | hskp26 ),
    inference(consistent_polarity_flipping,[],[f165]) ).

fof(f362,plain,
    ! [X0] :
      ( c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | ndr1_0
      | hskp8
      | ~ hskp28 ),
    inference(consistent_polarity_flipping,[],[f166]) ).

fof(f363,plain,
    ! [X0] :
      ( c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ hskp18
      | ~ hskp28 ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f365,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f169]) ).

fof(f366,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | hskp3 ),
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f368,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | hskp8 ),
    inference(consistent_polarity_flipping,[],[f172]) ).

fof(f369,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | ndr1_0
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f173]) ).

fof(f370,plain,
    ! [X0,X1] :
      ( ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ hskp4 ),
    inference(consistent_polarity_flipping,[],[f174]) ).

fof(f372,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ hskp29 ),
    inference(consistent_polarity_flipping,[],[f176]) ).

fof(f374,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f178]) ).

fof(f375,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | hskp22 ),
    inference(consistent_polarity_flipping,[],[f179]) ).

fof(f376,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c2_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | hskp5 ),
    inference(consistent_polarity_flipping,[],[f180]) ).

fof(f377,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c1_1(X1)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f181]) ).

fof(f378,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | ndr1_0
      | c1_1(X1)
      | c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f379,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ hskp16 ),
    inference(consistent_polarity_flipping,[],[f183]) ).

fof(f380,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f184]) ).

fof(f381,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ hskp9 ),
    inference(consistent_polarity_flipping,[],[f185]) ).

fof(f383,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c0_1(X1)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ hskp4 ),
    inference(consistent_polarity_flipping,[],[f187]) ).

fof(f384,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c0_1(X1)
      | c3_1(X1)
      | ~ c2_1(X1)
      | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f188]) ).

fof(f386,plain,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | ndr1_0
      | c2_1(X1)
      | c3_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X2)
      | ~ c2_1(X2)
      | ~ c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f190]) ).

fof(f387,plain,
    ! [X2,X0,X1] :
      ( c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c2_1(X1)
      | c3_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X2)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f191]) ).

fof(f388,plain,
    ! [X2,X0,X1] :
      ( c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c2_1(X1)
      | c1_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X2)
      | ~ c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f192]) ).

fof(f389,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c0_1(X1)
      | c2_1(X2)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X2)
      | ~ c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f193]) ).

fof(f390,plain,
    ! [X2,X0,X1] :
      ( c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c2_1(X1)
      | c3_1(X1)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X2)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f194]) ).

fof(f391,plain,
    ! [X2,X0,X1] :
      ( c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c0_1(X1)
      | c3_1(X1)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X2)
      | ~ c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f195]) ).

fof(f392,plain,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f196]) ).

fof(f394,definition,
    ( spl0_1
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f395,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f397,definition,
    ( spl0_2
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f398,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f400,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f404,definition,
    ( spl0_4
  <=> ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f405,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f406,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f392,f404,f400,f397,f394]) ).

fof(f408,definition,
    ( spl0_5
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f409,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f411,definition,
    ( spl0_6
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f412,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f414,definition,
    ( spl0_7
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f415,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f416,plain,
    ( spl0_5
    | spl0_6
    | spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f391,f414,f400,f411,f408]) ).

fof(f418,definition,
    ( spl0_8
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f419,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f421,definition,
    ( spl0_9
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f422,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f423,plain,
    ( spl0_8
    | spl0_9
    | spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f390,f414,f400,f421,f418]) ).

fof(f425,definition,
    ( spl0_10
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f426,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f428,definition,
    ( spl0_11
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f429,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f431,definition,
    ( spl0_12
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f432,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f433,plain,
    ( spl0_10
    | spl0_11
    | spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f389,f431,f400,f428,f425]) ).

fof(f434,plain,
    ( spl0_5
    | spl0_10
    | spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f388,f421,f400,f425,f408]) ).

fof(f436,definition,
    ( spl0_13
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f437,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c2_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f439,definition,
    ( spl0_14
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f440,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f441,plain,
    ( spl0_13
    | spl0_14
    | spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f387,f414,f400,f439,f436]) ).

fof(f443,definition,
    ( spl0_15
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f444,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f446,definition,
    ( spl0_16
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f447,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f448,plain,
    ( spl0_15
    | spl0_9
    | spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f386,f446,f400,f421,f443]) ).

fof(f450,definition,
    ( spl0_17
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f454,definition,
    ( spl0_18
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f455,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f457,definition,
    ( spl0_19
  <=> ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f458,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f461,definition,
    ( spl0_20
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f464,plain,
    ( ~ spl0_20
    | spl0_12
    | spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f384,f457,f400,f431,f461]) ).

fof(f466,definition,
    ( spl0_21
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f470,definition,
    ( spl0_22
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f471,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f472,plain,
    ( ~ spl0_21
    | spl0_22
    | spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f383,f457,f400,f470,f466]) ).

fof(f479,definition,
    ( spl0_24
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f483,definition,
    ( spl0_25
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f484,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f485,plain,
    ( ~ spl0_24
    | spl0_25
    | spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f381,f397,f400,f483,f479]) ).

fof(f487,definition,
    ( spl0_26
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f490,plain,
    ( ~ spl0_26
    | spl0_25
    | spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f380,f454,f400,f483,f487]) ).

fof(f492,definition,
    ( spl0_27
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f495,plain,
    ( ~ spl0_27
    | spl0_25
    | spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f379,f411,f400,f483,f492]) ).

fof(f497,definition,
    ( spl0_28
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f501,definition,
    ( spl0_29
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f502,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f503,plain,
    ( ~ spl0_28
    | spl0_29
    | spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f378,f470,f400,f501,f497]) ).

fof(f505,definition,
    ( spl0_30
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f506,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f507,plain,
    ( ~ spl0_26
    | spl0_30
    | spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f377,f501,f400,f505,f487]) ).

fof(f509,definition,
    ( spl0_31
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f512,plain,
    ( spl0_31
    | spl0_10
    | spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f376,f457,f400,f425,f509]) ).

fof(f514,definition,
    ( spl0_32
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f518,definition,
    ( spl0_33
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f519,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f520,plain,
    ( spl0_32
    | spl0_1
    | spl0_3
    | spl0_33 ),
    inference(avatar_split_clause,[],[f375,f518,f400,f394,f514]) ).

fof(f521,plain,
    ( ~ spl0_20
    | spl0_1
    | spl0_3
    | spl0_33 ),
    inference(avatar_split_clause,[],[f374,f518,f400,f394,f461]) ).

fof(f528,definition,
    ( spl0_35
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f531,plain,
    ( ~ spl0_35
    | spl0_8
    | spl0_3
    | spl0_30 ),
    inference(avatar_split_clause,[],[f372,f505,f400,f418,f528]) ).

fof(f533,definition,
    ( spl0_36
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f538,definition,
    ( spl0_37
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f539,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f540,plain,
    ( ~ spl0_21
    | spl0_37
    | spl0_29
    | spl0_3 ),
    inference(avatar_split_clause,[],[f370,f400,f501,f538,f466]) ).

fof(f542,definition,
    ( spl0_38
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f543,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f544,plain,
    ( ~ spl0_17
    | spl0_10
    | spl0_3
    | spl0_38 ),
    inference(avatar_split_clause,[],[f369,f542,f400,f425,f450]) ).

fof(f546,definition,
    ( spl0_39
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f550,definition,
    ( spl0_40
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f551,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f552,plain,
    ( spl0_39
    | spl0_15
    | spl0_3
    | spl0_40 ),
    inference(avatar_split_clause,[],[f368,f550,f400,f443,f546]) ).

fof(f558,definition,
    ( spl0_42
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f561,plain,
    ( spl0_42
    | spl0_37
    | spl0_3
    | spl0_38 ),
    inference(avatar_split_clause,[],[f366,f542,f400,f538,f558]) ).

fof(f563,definition,
    ( spl0_43
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f567,definition,
    ( spl0_44
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f568,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f569,plain,
    ( ~ spl0_43
    | spl0_44
    | spl0_3
    | spl0_38 ),
    inference(avatar_split_clause,[],[f365,f542,f400,f567,f563]) ).

fof(f575,definition,
    ( spl0_46
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f580,definition,
    ( spl0_47
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f584,definition,
    ( spl0_48
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f588,definition,
    ( spl0_49
  <=> ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f589,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f590,plain,
    ( ~ spl0_47
    | ~ spl0_48
    | spl0_3
    | spl0_49 ),
    inference(avatar_split_clause,[],[f363,f588,f400,f584,f580]) ).

fof(f591,plain,
    ( ~ spl0_47
    | spl0_39
    | spl0_3
    | spl0_49 ),
    inference(avatar_split_clause,[],[f362,f588,f400,f546,f580]) ).

fof(f593,definition,
    ( spl0_50
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f597,definition,
    ( spl0_51
  <=> ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f598,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f599,plain,
    ( spl0_50
    | spl0_42
    | spl0_3
    | spl0_51 ),
    inference(avatar_split_clause,[],[f361,f597,f400,f558,f593]) ).

fof(f601,definition,
    ( spl0_52
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f604,plain,
    ( spl0_52
    | spl0_3
    | spl0_51 ),
    inference(avatar_split_clause,[],[f360,f597,f400,f601]) ).

fof(f607,plain,
    ( ~ spl0_35
    | ~ spl0_28
    | spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f357,f411,f400,f497,f528]) ).

fof(f609,definition,
    ( spl0_53
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f612,plain,
    ( ~ spl0_53
    | ~ spl0_24
    | spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f356,f411,f400,f479,f609]) ).

fof(f615,definition,
    ( spl0_54
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f618,plain,
    ( ~ spl0_27
    | ~ spl0_54
    | spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f354,f483,f400,f615,f492]) ).

fof(f620,definition,
    ( spl0_55
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f623,plain,
    ( spl0_55
    | spl0_46
    | spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f353,f501,f400,f575,f620]) ).

fof(f625,definition,
    ( spl0_56
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f628,plain,
    ( spl0_56
    | spl0_42
    | spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f352,f501,f400,f558,f625]) ).

fof(f629,plain,
    ( spl0_46
    | ~ spl0_21
    | spl0_3
    | spl0_30 ),
    inference(avatar_split_clause,[],[f351,f505,f400,f466,f575]) ).

fof(f631,plain,
    ( ~ spl0_36
    | spl0_3
    | spl0_33 ),
    inference(avatar_split_clause,[],[f349,f518,f400,f533]) ).

fof(f632,plain,
    ( spl0_52
    | spl0_39
    | spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f348,f439,f400,f546,f601]) ).

fof(f633,plain,
    ( ~ spl0_47
    | ~ spl0_28
    | spl0_3
    | spl0_38 ),
    inference(avatar_split_clause,[],[f347,f542,f400,f497,f580]) ).

fof(f640,definition,
    ( spl0_58
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f641,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f642,plain,
    ( spl0_55
    | ~ spl0_43
    | spl0_3
    | spl0_58 ),
    inference(avatar_split_clause,[],[f345,f640,f400,f563,f620]) ).

fof(f643,plain,
    ( spl0_39
    | ~ spl0_28
    | spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f344,f425,f400,f497,f546]) ).

fof(f644,plain,
    ( ~ spl0_53
    | spl0_46
    | spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f343,f408,f400,f575,f609]) ).

fof(f665,definition,
    ( spl0_63
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f666,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f667,plain,
    ( ~ spl0_47
    | ~ spl0_21
    | spl0_63
    | spl0_3 ),
    inference(avatar_split_clause,[],[f338,f400,f665,f466,f580]) ).

fof(f669,plain,
    ( spl0_42
    | spl0_63
    | spl0_3 ),
    inference(avatar_split_clause,[],[f336,f400,f665,f558]) ).

fof(f671,definition,
    ( spl0_64
  <=> c3_1(a291) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f673,plain,
    ( c3_1(a291)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f674,plain,
    ( spl0_43
    | spl0_64 ),
    inference(avatar_split_clause,[],[f335,f671,f563]) ).

fof(f676,definition,
    ( spl0_65
  <=> c2_1(a291) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f678,plain,
    ( c2_1(a291)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f679,plain,
    ( spl0_43
    | spl0_65 ),
    inference(avatar_split_clause,[],[f334,f676,f563]) ).

fof(f686,definition,
    ( spl0_67
  <=> c2_1(a293) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f689,plain,
    ( ~ spl0_56
    | spl0_67 ),
    inference(avatar_split_clause,[],[f332,f686,f625]) ).

fof(f691,definition,
    ( spl0_68
  <=> c1_1(a293) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f694,plain,
    ( ~ spl0_56
    | spl0_68 ),
    inference(avatar_split_clause,[],[f331,f691,f625]) ).

fof(f696,definition,
    ( spl0_69
  <=> c1_1(a294) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f699,plain,
    ( ~ spl0_42
    | spl0_69 ),
    inference(avatar_split_clause,[],[f330,f696,f558]) ).

fof(f701,definition,
    ( spl0_70
  <=> c3_1(a295) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f703,plain,
    ( c3_1(a295)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f704,plain,
    ( spl0_21
    | spl0_70 ),
    inference(avatar_split_clause,[],[f329,f701,f466]) ).

fof(f706,definition,
    ( spl0_71
  <=> c2_1(a295) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f709,plain,
    ( spl0_21
    | spl0_71 ),
    inference(avatar_split_clause,[],[f328,f706,f466]) ).

fof(f711,definition,
    ( spl0_72
  <=> c0_1(a297) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f714,plain,
    ( ~ spl0_31
    | spl0_72 ),
    inference(avatar_split_clause,[],[f327,f711,f509]) ).

fof(f726,definition,
    ( spl0_75
  <=> c2_1(a299) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f728,plain,
    ( c2_1(a299)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f729,plain,
    ( spl0_26
    | spl0_75 ),
    inference(avatar_split_clause,[],[f324,f726,f487]) ).

fof(f731,definition,
    ( spl0_76
  <=> c1_1(a300) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f734,plain,
    ( ~ spl0_39
    | spl0_76 ),
    inference(avatar_split_clause,[],[f323,f731,f546]) ).

fof(f736,definition,
    ( spl0_77
  <=> c2_1(a304) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f738,plain,
    ( c2_1(a304)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f739,plain,
    ( spl0_24
    | spl0_77 ),
    inference(avatar_split_clause,[],[f322,f736,f479]) ).

fof(f746,definition,
    ( spl0_79
  <=> c0_1(a306) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f749,plain,
    ( ~ spl0_46
    | spl0_79 ),
    inference(avatar_split_clause,[],[f320,f746,f575]) ).

fof(f751,definition,
    ( spl0_80
  <=> c3_1(a307) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f753,plain,
    ( c3_1(a307)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f754,plain,
    ( spl0_53
    | spl0_80 ),
    inference(avatar_split_clause,[],[f319,f751,f609]) ).

fof(f756,definition,
    ( spl0_81
  <=> c1_1(a307) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f759,plain,
    ( spl0_53
    | spl0_81 ),
    inference(avatar_split_clause,[],[f318,f756,f609]) ).

fof(f761,definition,
    ( spl0_82
  <=> c2_1(a308) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f763,plain,
    ( c2_1(a308)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f764,plain,
    ( spl0_17
    | spl0_82 ),
    inference(avatar_split_clause,[],[f317,f761,f450]) ).

fof(f766,definition,
    ( spl0_83
  <=> c1_1(a308) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f769,plain,
    ( spl0_17
    | spl0_83 ),
    inference(avatar_split_clause,[],[f316,f766,f450]) ).

fof(f776,definition,
    ( spl0_85
  <=> c3_1(a311) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f778,plain,
    ( c3_1(a311)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f779,plain,
    ( spl0_28
    | spl0_85 ),
    inference(avatar_split_clause,[],[f314,f776,f497]) ).

fof(f781,definition,
    ( spl0_86
  <=> c3_1(a315) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f783,plain,
    ( c3_1(a315)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f781]) ).

fof(f784,plain,
    ( spl0_27
    | spl0_86 ),
    inference(avatar_split_clause,[],[f313,f781,f492]) ).

fof(f786,definition,
    ( spl0_87
  <=> c0_1(a315) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f789,plain,
    ( spl0_27
    | spl0_87 ),
    inference(avatar_split_clause,[],[f312,f786,f492]) ).

fof(f791,definition,
    ( spl0_88
  <=> c3_1(a323) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f793,plain,
    ( c3_1(a323)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f794,plain,
    ( ~ spl0_55
    | spl0_88 ),
    inference(avatar_split_clause,[],[f311,f791,f620]) ).

fof(f796,definition,
    ( spl0_89
  <=> c2_1(a323) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f798,plain,
    ( c2_1(a323)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f799,plain,
    ( ~ spl0_55
    | spl0_89 ),
    inference(avatar_split_clause,[],[f310,f796,f620]) ).

fof(f801,definition,
    ( spl0_90
  <=> c0_1(a323) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f804,plain,
    ( ~ spl0_55
    | spl0_90 ),
    inference(avatar_split_clause,[],[f309,f801,f620]) ).

fof(f806,definition,
    ( spl0_91
  <=> c3_1(a325) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f808,plain,
    ( c3_1(a325)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f809,plain,
    ( spl0_48
    | spl0_91 ),
    inference(avatar_split_clause,[],[f308,f806,f584]) ).

fof(f811,definition,
    ( spl0_92
  <=> c1_1(a325) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f814,plain,
    ( spl0_48
    | spl0_92 ),
    inference(avatar_split_clause,[],[f307,f811,f584]) ).

fof(f821,definition,
    ( spl0_94
  <=> c2_1(a329) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f823,plain,
    ( c2_1(a329)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f824,plain,
    ( spl0_36
    | spl0_94 ),
    inference(avatar_split_clause,[],[f305,f821,f533]) ).

fof(f826,definition,
    ( spl0_95
  <=> c1_1(a329) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f829,plain,
    ( spl0_36
    | spl0_95 ),
    inference(avatar_split_clause,[],[f304,f826,f533]) ).

fof(f831,definition,
    ( spl0_96
  <=> c0_1(a329) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f834,plain,
    ( spl0_36
    | spl0_96 ),
    inference(avatar_split_clause,[],[f303,f831,f533]) ).

fof(f836,definition,
    ( spl0_97
  <=> c2_1(a330) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f839,plain,
    ( spl0_20
    | spl0_97 ),
    inference(avatar_split_clause,[],[f302,f836,f461]) ).

fof(f841,definition,
    ( spl0_98
  <=> c0_1(a330) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f844,plain,
    ( spl0_20
    | spl0_98 ),
    inference(avatar_split_clause,[],[f301,f841,f461]) ).

fof(f846,definition,
    ( spl0_99
  <=> c3_1(a331) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f848,plain,
    ( c3_1(a331)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f846]) ).

fof(f849,plain,
    ( ~ spl0_32
    | spl0_99 ),
    inference(avatar_split_clause,[],[f300,f846,f514]) ).

fof(f851,definition,
    ( spl0_100
  <=> c2_1(a331) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f854,plain,
    ( ~ spl0_32
    | spl0_100 ),
    inference(avatar_split_clause,[],[f299,f851,f514]) ).

fof(f856,definition,
    ( spl0_101
  <=> c1_1(a331) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f859,plain,
    ( ~ spl0_32
    | spl0_101 ),
    inference(avatar_split_clause,[],[f298,f856,f514]) ).

fof(f861,definition,
    ( spl0_102
  <=> c2_1(a337) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f863,plain,
    ( c2_1(a337)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f861]) ).

fof(f864,plain,
    ( ~ spl0_52
    | spl0_102 ),
    inference(avatar_split_clause,[],[f297,f861,f601]) ).

fof(f866,definition,
    ( spl0_103
  <=> c3_1(a341) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f868,plain,
    ( c3_1(a341)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f869,plain,
    ( spl0_54
    | spl0_103 ),
    inference(avatar_split_clause,[],[f296,f866,f615]) ).

fof(f871,definition,
    ( spl0_104
  <=> c0_1(a341) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f874,plain,
    ( spl0_54
    | spl0_104 ),
    inference(avatar_split_clause,[],[f295,f871,f615]) ).

fof(f886,definition,
    ( spl0_107
  <=> c3_1(a359) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f888,plain,
    ( c3_1(a359)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f889,plain,
    ( ~ spl0_50
    | spl0_107 ),
    inference(avatar_split_clause,[],[f292,f886,f593]) ).

fof(f891,definition,
    ( spl0_108
  <=> c1_1(a359) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f894,plain,
    ( ~ spl0_50
    | spl0_108 ),
    inference(avatar_split_clause,[],[f291,f891,f593]) ).

fof(f896,definition,
    ( spl0_109
  <=> c0_1(a359) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f899,plain,
    ( ~ spl0_50
    | spl0_109 ),
    inference(avatar_split_clause,[],[f290,f896,f593]) ).

fof(f901,definition,
    ( spl0_110
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f905,definition,
    ( spl0_111
  <=> c2_1(a368) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f907,plain,
    ( c2_1(a368)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f908,plain,
    ( ~ spl0_110
    | spl0_111 ),
    inference(avatar_split_clause,[],[f289,f905,f901]) ).

fof(f910,definition,
    ( spl0_112
  <=> c0_1(a368) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f913,plain,
    ( ~ spl0_110
    | spl0_112 ),
    inference(avatar_split_clause,[],[f288,f910,f901]) ).

fof(f915,definition,
    ( spl0_113
  <=> c1_1(a291) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f918,plain,
    ( ~ spl0_113
    | spl0_43 ),
    inference(avatar_split_clause,[],[f287,f563,f915]) ).

fof(f930,definition,
    ( spl0_116
  <=> c3_1(a293) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f932,plain,
    ( ~ c3_1(a293)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f933,plain,
    ( ~ spl0_116
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f284,f625,f930]) ).

fof(f935,definition,
    ( spl0_117
  <=> c2_1(a294) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f937,plain,
    ( ~ c2_1(a294)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f938,plain,
    ( ~ spl0_117
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f283,f558,f935]) ).

fof(f940,definition,
    ( spl0_118
  <=> c0_1(a294) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f943,plain,
    ( ~ spl0_118
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f282,f558,f940]) ).

fof(f945,definition,
    ( spl0_119
  <=> c0_1(a295) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f948,plain,
    ( ~ spl0_119
    | spl0_21 ),
    inference(avatar_split_clause,[],[f281,f466,f945]) ).

fof(f950,definition,
    ( spl0_120
  <=> c2_1(a297) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f952,plain,
    ( ~ c2_1(a297)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f950]) ).

fof(f953,plain,
    ( ~ spl0_120
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f280,f509,f950]) ).

fof(f955,definition,
    ( spl0_121
  <=> c1_1(a297) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f957,plain,
    ( ~ c1_1(a297)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f955]) ).

fof(f958,plain,
    ( ~ spl0_121
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f279,f509,f955]) ).

fof(f965,definition,
    ( spl0_123
  <=> c3_1(a299) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f967,plain,
    ( ~ c3_1(a299)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f965]) ).

fof(f968,plain,
    ( ~ spl0_123
    | spl0_26 ),
    inference(avatar_split_clause,[],[f277,f487,f965]) ).

fof(f970,definition,
    ( spl0_124
  <=> c0_1(a299) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f973,plain,
    ( ~ spl0_124
    | spl0_26 ),
    inference(avatar_split_clause,[],[f276,f487,f970]) ).

fof(f975,definition,
    ( spl0_125
  <=> c3_1(a300) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f977,plain,
    ( ~ c3_1(a300)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f975]) ).

fof(f978,plain,
    ( ~ spl0_125
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f275,f546,f975]) ).

fof(f980,definition,
    ( spl0_126
  <=> c0_1(a300) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f983,plain,
    ( ~ spl0_126
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f274,f546,f980]) ).

fof(f985,definition,
    ( spl0_127
  <=> c1_1(a304) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f988,plain,
    ( ~ spl0_127
    | spl0_24 ),
    inference(avatar_split_clause,[],[f273,f479,f985]) ).

fof(f990,definition,
    ( spl0_128
  <=> c0_1(a304) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f993,plain,
    ( ~ spl0_128
    | spl0_24 ),
    inference(avatar_split_clause,[],[f272,f479,f990]) ).

fof(f1005,definition,
    ( spl0_131
  <=> c3_1(a306) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f1007,plain,
    ( ~ c3_1(a306)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f1005]) ).

fof(f1008,plain,
    ( ~ spl0_131
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f269,f575,f1005]) ).

fof(f1010,definition,
    ( spl0_132
  <=> c1_1(a306) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f1013,plain,
    ( ~ spl0_132
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f268,f575,f1010]) ).

fof(f1015,definition,
    ( spl0_133
  <=> c2_1(a307) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f1017,plain,
    ( ~ c2_1(a307)
    | spl0_133 ),
    inference(avatar_component_clause,[],[f1015]) ).

fof(f1018,plain,
    ( ~ spl0_133
    | spl0_53 ),
    inference(avatar_split_clause,[],[f267,f609,f1015]) ).

fof(f1020,definition,
    ( spl0_134
  <=> c0_1(a308) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f1023,plain,
    ( ~ spl0_134
    | spl0_17 ),
    inference(avatar_split_clause,[],[f266,f450,f1020]) ).

fof(f1035,definition,
    ( spl0_137
  <=> c1_1(a311) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f1038,plain,
    ( ~ spl0_137
    | spl0_28 ),
    inference(avatar_split_clause,[],[f263,f497,f1035]) ).

fof(f1040,definition,
    ( spl0_138
  <=> c0_1(a311) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f1043,plain,
    ( ~ spl0_138
    | spl0_28 ),
    inference(avatar_split_clause,[],[f262,f497,f1040]) ).

fof(f1045,definition,
    ( spl0_139
  <=> c2_1(a315) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f1047,plain,
    ( ~ c2_1(a315)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f1045]) ).

fof(f1048,plain,
    ( ~ spl0_139
    | spl0_27 ),
    inference(avatar_split_clause,[],[f261,f492,f1045]) ).

fof(f1050,definition,
    ( spl0_140
  <=> c0_1(a325) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1053,plain,
    ( ~ spl0_140
    | spl0_48 ),
    inference(avatar_split_clause,[],[f260,f584,f1050]) ).

fof(f1065,definition,
    ( spl0_143
  <=> c3_1(a330) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f1067,plain,
    ( ~ c3_1(a330)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f1065]) ).

fof(f1068,plain,
    ( ~ spl0_143
    | spl0_20 ),
    inference(avatar_split_clause,[],[f257,f461,f1065]) ).

fof(f1070,definition,
    ( spl0_144
  <=> c3_1(a337) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1072,plain,
    ( ~ c3_1(a337)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f1070]) ).

fof(f1073,plain,
    ( ~ spl0_144
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f256,f601,f1070]) ).

fof(f1075,definition,
    ( spl0_145
  <=> c1_1(a337) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1078,plain,
    ( ~ spl0_145
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f255,f601,f1075]) ).

fof(f1080,definition,
    ( spl0_146
  <=> c1_1(a341) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1082,plain,
    ( ~ c1_1(a341)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f1080]) ).

fof(f1083,plain,
    ( ~ spl0_146
    | spl0_54 ),
    inference(avatar_split_clause,[],[f254,f615,f1080]) ).

fof(f1090,definition,
    ( spl0_148
  <=> c1_1(a368) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1093,plain,
    ( ~ spl0_148
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f252,f901,f1090]) ).

fof(f1095,definition,
    ( spl0_149
  <=> c3_1(a296) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1097,plain,
    ( ~ c3_1(a296)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f1095]) ).

fof(f1098,plain,
    ( ~ spl0_149
    | spl0_47 ),
    inference(avatar_split_clause,[],[f251,f580,f1095]) ).

fof(f1100,definition,
    ( spl0_150
  <=> c2_1(a296) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1103,plain,
    ( ~ spl0_150
    | spl0_47 ),
    inference(avatar_split_clause,[],[f250,f580,f1100]) ).

fof(f1105,definition,
    ( spl0_151
  <=> c1_1(a296) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1108,plain,
    ( ~ spl0_151
    | spl0_47 ),
    inference(avatar_split_clause,[],[f249,f580,f1105]) ).

fof(f1110,definition,
    ( spl0_152
  <=> c3_1(a301) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1112,plain,
    ( ~ c3_1(a301)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f1110]) ).

fof(f1113,plain,
    ( ~ spl0_152
    | spl0_35 ),
    inference(avatar_split_clause,[],[f248,f528,f1110]) ).

fof(f1115,definition,
    ( spl0_153
  <=> c2_1(a301) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1117,plain,
    ( ~ c2_1(a301)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f1115]) ).

fof(f1118,plain,
    ( ~ spl0_153
    | spl0_35 ),
    inference(avatar_split_clause,[],[f247,f528,f1115]) ).

fof(f1120,definition,
    ( spl0_154
  <=> c0_1(a301) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1123,plain,
    ( ~ spl0_154
    | spl0_35 ),
    inference(avatar_split_clause,[],[f246,f528,f1120]) ).

fof(f1140,definition,
    ( spl0_158
  <=> c2_1(a367) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1142,plain,
    ( ~ c2_1(a367)
    | spl0_158 ),
    inference(avatar_component_clause,[],[f1140]) ).

fof(f1144,definition,
    ( spl0_159
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1147,plain,
    ( ~ spl0_158
    | spl0_159 ),
    inference(avatar_split_clause,[],[f242,f1144,f1140]) ).

fof(f1149,definition,
    ( spl0_160
  <=> c1_1(a367) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1152,plain,
    ( ~ spl0_160
    | spl0_159 ),
    inference(avatar_split_clause,[],[f241,f1144,f1149]) ).

fof(f1154,definition,
    ( spl0_161
  <=> c0_1(a367) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1157,plain,
    ( ~ spl0_161
    | spl0_159 ),
    inference(avatar_split_clause,[],[f240,f1144,f1154]) ).

fof(f1160,plain,
    ( spl0_56
    | ~ spl0_53
    | spl0_52 ),
    inference(avatar_split_clause,[],[f237,f601,f609,f625]) ).

fof(f1161,plain,
    ( spl0_32
    | ~ spl0_27
    | spl0_31 ),
    inference(avatar_split_clause,[],[f236,f509,f492,f514]) ).

fof(f1166,plain,
    ( ~ spl0_43
    | spl0_52
    | spl0_42 ),
    inference(avatar_split_clause,[],[f231,f558,f601,f563]) ).

fof(f1167,plain,
    ( spl0_32
    | ~ spl0_27
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f230,f479,f492,f514]) ).

fof(f1168,plain,
    ( ~ spl0_54
    | spl0_110
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f229,f1144,f901,f615]) ).

fof(f1193,plain,
    ( ~ spl0_3
    | spl0_54 ),
    inference(avatar_split_clause,[],[f204,f615,f400]) ).

fof(f1196,plain,
    ( ~ spl0_3
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f201,f901,f400]) ).

fof(f1200,plain,
    ( ~ spl0_3
    | spl0_159 ),
    inference(avatar_split_clause,[],[f197,f1144,f400]) ).

fof(f1203,plain,
    ( c1_1(a291)
    | ~ c0_1(a291)
    | ~ spl0_5
    | ~ spl0_64 ),
    inference(resolution,[],[f409,f673]) ).

fof(f1204,plain,
    ( c1_1(a323)
    | ~ c0_1(a323)
    | ~ spl0_5
    | ~ spl0_88 ),
    inference(resolution,[],[f409,f793]) ).

fof(f1206,definition,
    ( spl0_162
  <=> c1_1(a323) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1211,definition,
    ( spl0_163
  <=> c0_1(a291) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1214,plain,
    ( ~ spl0_163
    | spl0_113
    | ~ spl0_5
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1203,f671,f408,f915,f1211]) ).

fof(f1231,plain,
    ( ~ c1_1(a300)
    | c2_1(a300)
    | ~ spl0_7
    | spl0_125 ),
    inference(resolution,[],[f415,f977]) ).

fof(f1246,definition,
    ( spl0_165
  <=> c1_1(a299) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1251,definition,
    ( spl0_166
  <=> c2_1(a300) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1253,plain,
    ( c2_1(a300)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1251]) ).

fof(f1254,plain,
    ( spl0_166
    | ~ spl0_76
    | ~ spl0_7
    | spl0_125 ),
    inference(avatar_split_clause,[],[f1231,f975,f414,f731,f1251]) ).

fof(f1261,definition,
    ( spl0_168
  <=> c1_1(a315) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1276,definition,
    ( spl0_171
  <=> c1_1(a301) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1296,plain,
    ( ~ c1_1(a300)
    | c0_1(a300)
    | ~ spl0_6
    | spl0_125 ),
    inference(resolution,[],[f412,f977]) ).

fof(f1297,plain,
    ( ~ c1_1(a299)
    | c0_1(a299)
    | ~ spl0_6
    | spl0_123 ),
    inference(resolution,[],[f412,f967]) ).

fof(f1320,plain,
    ( c1_1(a323)
    | ~ c0_1(a323)
    | ~ spl0_8
    | ~ spl0_89 ),
    inference(resolution,[],[f419,f798]) ).

fof(f1321,plain,
    ( ~ spl0_90
    | spl0_162
    | ~ spl0_8
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1320,f796,f418,f1206,f801]) ).

fof(f1322,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(resolution,[],[f422,f398]) ).

fof(f1325,plain,
    ( ~ c0_1(a296)
    | c2_1(a296)
    | ~ spl0_9
    | spl0_149 ),
    inference(resolution,[],[f422,f1097]) ).

fof(f1335,plain,
    ( ~ c0_1(a306)
    | c2_1(a306)
    | ~ spl0_9
    | spl0_131 ),
    inference(resolution,[],[f422,f1007]) ).

fof(f1344,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(duplicate_literal_removal,[],[f1322]) ).

fof(f1346,definition,
    ( spl0_174
  <=> c0_1(a331) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1356,definition,
    ( spl0_176
  <=> c2_1(a306) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1358,plain,
    ( c2_1(a306)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1356]) ).

fof(f1362,definition,
    ( spl0_177
  <=> c0_1(a337) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1367,definition,
    ( spl0_178
  <=> c0_1(a296) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1370,plain,
    ( spl0_150
    | ~ spl0_178
    | ~ spl0_9
    | spl0_149 ),
    inference(avatar_split_clause,[],[f1325,f1095,f421,f1367,f1100]) ).

fof(f1384,definition,
    ( spl0_179
  <=> c0_1(a307) ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

fof(f1388,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(resolution,[],[f429,f412]) ).

fof(f1390,plain,
    ( c0_1(a291)
    | ~ c2_1(a291)
    | ~ spl0_11
    | ~ spl0_64 ),
    inference(resolution,[],[f429,f673]) ).

fof(f1391,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f1388]) ).

fof(f1393,plain,
    ( spl0_58
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f1391,f428,f411,f640]) ).

fof(f1412,plain,
    ( ~ c2_1(a300)
    | ~ c1_1(a300)
    | ~ spl0_1
    | spl0_125 ),
    inference(resolution,[],[f395,f977]) ).

fof(f1415,plain,
    ( ~ c2_1(a293)
    | ~ c1_1(a293)
    | ~ spl0_1
    | spl0_116 ),
    inference(resolution,[],[f395,f932]) ).

fof(f1421,plain,
    ( c2_1(a359)
    | ~ c0_1(a359)
    | ~ spl0_10
    | ~ spl0_107 ),
    inference(resolution,[],[f888,f426]) ).

fof(f1424,definition,
    ( spl0_180
  <=> c2_1(a359) ),
    introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).

fof(f1438,plain,
    ( ~ c2_1(a337)
    | c0_1(a337)
    | ~ spl0_12
    | spl0_144 ),
    inference(resolution,[],[f432,f1072]) ).

fof(f1447,plain,
    ( ~ c2_1(a300)
    | c0_1(a300)
    | ~ spl0_12
    | spl0_125 ),
    inference(resolution,[],[f432,f977]) ).

fof(f1448,plain,
    ( ~ c2_1(a299)
    | c0_1(a299)
    | ~ spl0_12
    | spl0_123 ),
    inference(resolution,[],[f432,f967]) ).

fof(f1457,definition,
    ( spl0_181
  <=> c2_1(a311) ),
    introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).

fof(f1458,plain,
    ( c2_1(a311)
    | ~ spl0_181 ),
    inference(avatar_component_clause,[],[f1457]) ).

fof(f1459,plain,
    ( ~ c2_1(a311)
    | spl0_181 ),
    inference(avatar_component_clause,[],[f1457]) ).

fof(f1462,definition,
    ( spl0_182
  <=> c2_1(a325) ),
    introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).

fof(f1464,plain,
    ( ~ c2_1(a325)
    | spl0_182 ),
    inference(avatar_component_clause,[],[f1462]) ).

fof(f1467,definition,
    ( spl0_183
  <=> c2_1(a341) ),
    introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).

fof(f1468,plain,
    ( c2_1(a341)
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f1467]) ).

fof(f1489,plain,
    ( ~ c2_1(a330)
    | ~ c0_1(a330)
    | ~ spl0_13
    | spl0_143 ),
    inference(resolution,[],[f437,f1067]) ).

fof(f1507,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(resolution,[],[f440,f412]) ).

fof(f1508,plain,
    ( c2_1(a307)
    | ~ c1_1(a307)
    | ~ spl0_14
    | ~ spl0_80 ),
    inference(resolution,[],[f440,f753]) ).

fof(f1511,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f1507]) ).

fof(f1521,plain,
    ( ~ c0_1(a359)
    | ~ c2_1(a359)
    | ~ spl0_15
    | ~ spl0_107 ),
    inference(resolution,[],[f444,f888]) ).

fof(f1524,plain,
    ( ~ spl0_180
    | ~ spl0_109
    | ~ spl0_15
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1521,f886,f443,f896,f1424]) ).

fof(f1529,plain,
    ( c1_1(a291)
    | ~ c2_1(a291)
    | ~ spl0_16
    | ~ spl0_64 ),
    inference(resolution,[],[f447,f673]) ).

fof(f1533,plain,
    ( ~ spl0_65
    | spl0_113
    | ~ spl0_16
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1529,f671,f446,f915,f676]) ).

fof(f1543,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(resolution,[],[f458,f440]) ).

fof(f1547,plain,
    ( c0_1(a301)
    | c2_1(a301)
    | ~ spl0_19
    | spl0_152 ),
    inference(resolution,[],[f458,f1112]) ).

fof(f1548,plain,
    ( c0_1(a296)
    | c2_1(a296)
    | ~ spl0_19
    | spl0_149 ),
    inference(resolution,[],[f458,f1097]) ).

fof(f1560,plain,
    ( c0_1(a300)
    | c2_1(a300)
    | ~ spl0_19
    | spl0_125 ),
    inference(resolution,[],[f458,f977]) ).

fof(f1569,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(duplicate_literal_removal,[],[f1543]) ).

fof(f1574,plain,
    ( spl0_166
    | spl0_126
    | ~ spl0_19
    | spl0_125 ),
    inference(avatar_split_clause,[],[f1560,f975,f457,f980,f1251]) ).

fof(f1582,plain,
    ( spl0_150
    | spl0_178
    | ~ spl0_19
    | spl0_149 ),
    inference(avatar_split_clause,[],[f1548,f1095,f457,f1367,f1100]) ).

fof(f1583,plain,
    ( spl0_153
    | spl0_154
    | ~ spl0_19
    | spl0_152 ),
    inference(avatar_split_clause,[],[f1547,f1110,f457,f1120,f1115]) ).

fof(f1614,plain,
    ( c2_1(a341)
    | ~ c0_1(a341)
    | ~ spl0_10
    | ~ spl0_103 ),
    inference(resolution,[],[f868,f426]) ).

fof(f1615,plain,
    ( c1_1(a341)
    | c2_1(a341)
    | ~ spl0_2
    | ~ spl0_103 ),
    inference(resolution,[],[f868,f398]) ).

fof(f1639,plain,
    ( c0_1(a337)
    | c1_1(a337)
    | ~ spl0_22
    | ~ spl0_102 ),
    inference(resolution,[],[f471,f863]) ).

fof(f1641,plain,
    ( c0_1(a311)
    | c1_1(a311)
    | ~ spl0_22
    | ~ spl0_181 ),
    inference(resolution,[],[f471,f1458]) ).

fof(f1645,plain,
    ( c0_1(a304)
    | c1_1(a304)
    | ~ spl0_22
    | ~ spl0_77 ),
    inference(resolution,[],[f471,f738]) ).

fof(f1646,plain,
    ( c0_1(a299)
    | c1_1(a299)
    | ~ spl0_22
    | ~ spl0_75 ),
    inference(resolution,[],[f471,f728]) ).

fof(f1655,plain,
    ( spl0_165
    | spl0_124
    | ~ spl0_22
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1646,f726,f470,f970,f1246]) ).

fof(f1658,plain,
    ( spl0_137
    | spl0_138
    | ~ spl0_22
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f1641,f1457,f470,f1040,f1035]) ).

fof(f1692,plain,
    ( ~ c0_1(a306)
    | c1_1(a306)
    | ~ spl0_29
    | spl0_131 ),
    inference(resolution,[],[f502,f1007]) ).

fof(f1710,plain,
    ( spl0_25
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f1511,f439,f411,f483]) ).

fof(f1711,plain,
    ( spl0_25
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f1569,f457,f439,f483]) ).

fof(f1712,plain,
    ( ~ spl0_90
    | spl0_162
    | ~ spl0_5
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1204,f791,f408,f1206,f801]) ).

fof(f1716,plain,
    ( spl0_132
    | ~ spl0_79
    | ~ spl0_29
    | spl0_131 ),
    inference(avatar_split_clause,[],[f1692,f1005,f501,f746,f1010]) ).

fof(f1718,plain,
    ( c1_1(a311)
    | ~ c2_1(a311)
    | ~ spl0_16
    | ~ spl0_85 ),
    inference(resolution,[],[f778,f447]) ).

fof(f1721,plain,
    ( ~ spl0_181
    | spl0_137
    | ~ spl0_16
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1718,f776,f446,f1035,f1457]) ).

fof(f1724,plain,
    ( c2_1(a315)
    | ~ c0_1(a315)
    | ~ spl0_10
    | ~ spl0_86 ),
    inference(resolution,[],[f783,f426]) ).

fof(f1770,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_5
    | ~ spl0_29 ),
    inference(resolution,[],[f502,f409]) ).

fof(f1774,plain,
    ( ~ c0_1(a296)
    | c1_1(a296)
    | ~ spl0_29
    | spl0_149 ),
    inference(resolution,[],[f502,f1097]) ).

fof(f1775,plain,
    ( ~ c0_1(a337)
    | c1_1(a337)
    | ~ spl0_29
    | spl0_144 ),
    inference(resolution,[],[f502,f1072]) ).

fof(f1791,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_5
    | ~ spl0_29 ),
    inference(duplicate_literal_removal,[],[f1770]) ).

fof(f1798,plain,
    ( ~ c0_1(a341)
    | ~ spl0_5
    | ~ spl0_29
    | spl0_146 ),
    inference(resolution,[],[f1791,f1082]) ).

fof(f1807,plain,
    ( ~ c0_1(a297)
    | ~ spl0_5
    | ~ spl0_29
    | spl0_121 ),
    inference(resolution,[],[f1791,f957]) ).

fof(f1812,plain,
    ( ~ spl0_72
    | ~ spl0_5
    | ~ spl0_29
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1807,f955,f501,f408,f711]) ).

fof(f1826,plain,
    ( ~ c0_1(a315)
    | c1_1(a315)
    | ~ spl0_30
    | spl0_139 ),
    inference(resolution,[],[f506,f1047]) ).

fof(f1830,plain,
    ( ~ c0_1(a297)
    | c1_1(a297)
    | ~ spl0_30
    | spl0_120 ),
    inference(resolution,[],[f506,f952]) ).

fof(f1844,plain,
    ( c0_1(a311)
    | c2_1(a311)
    | ~ spl0_33
    | ~ spl0_85 ),
    inference(resolution,[],[f519,f778]) ).

fof(f1874,plain,
    ( ~ c1_1(a359)
    | ~ c2_1(a359)
    | ~ spl0_37
    | ~ spl0_107 ),
    inference(resolution,[],[f539,f888]) ).

fof(f1875,plain,
    ( ~ c1_1(a331)
    | ~ c2_1(a331)
    | ~ spl0_37
    | ~ spl0_99 ),
    inference(resolution,[],[f539,f848]) ).

fof(f1876,plain,
    ( ~ c1_1(a323)
    | ~ c2_1(a323)
    | ~ spl0_37
    | ~ spl0_88 ),
    inference(resolution,[],[f539,f793]) ).

fof(f1880,plain,
    ( ~ spl0_89
    | ~ spl0_162
    | ~ spl0_37
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1876,f791,f538,f1206,f796]) ).

fof(f1882,plain,
    ( ~ spl0_180
    | ~ spl0_108
    | ~ spl0_37
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1874,f886,f538,f891,f1424]) ).

fof(f1886,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_19
    | ~ spl0_38 ),
    inference(resolution,[],[f543,f458]) ).

fof(f1897,plain,
    ( c0_1(a331)
    | ~ c1_1(a331)
    | ~ spl0_38
    | ~ spl0_99 ),
    inference(resolution,[],[f543,f848]) ).

fof(f1901,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_19
    | ~ spl0_38 ),
    inference(duplicate_literal_removal,[],[f1886]) ).

fof(f1929,plain,
    ( ~ c2_1(a337)
    | c1_1(a337)
    | ~ spl0_40
    | spl0_144 ),
    inference(resolution,[],[f551,f1072]) ).

fof(f1966,plain,
    ( ~ c0_1(a341)
    | ~ c2_1(a341)
    | ~ spl0_15
    | ~ spl0_103 ),
    inference(resolution,[],[f444,f868]) ).

fof(f1971,plain,
    ( ~ c0_1(a323)
    | ~ c2_1(a323)
    | ~ spl0_15
    | ~ spl0_88 ),
    inference(resolution,[],[f444,f793]) ).

fof(f2001,plain,
    ( ~ spl0_89
    | ~ spl0_90
    | ~ spl0_15
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1971,f791,f443,f801,f796]) ).

fof(f2014,plain,
    ( ~ spl0_98
    | ~ spl0_97
    | ~ spl0_13
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1489,f1065,f436,f836,f841]) ).

fof(f2026,plain,
    ( ~ spl0_104
    | spl0_183
    | ~ spl0_10
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1614,f866,f425,f1467,f871]) ).

fof(f2027,plain,
    ( ~ spl0_104
    | ~ spl0_5
    | ~ spl0_29
    | spl0_146 ),
    inference(avatar_split_clause,[],[f1798,f1080,f501,f408,f871]) ).

fof(f2028,plain,
    ( spl0_183
    | spl0_146
    | ~ spl0_2
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1615,f866,f397,f1080,f1467]) ).

fof(f2039,plain,
    ( ~ spl0_100
    | ~ spl0_101
    | ~ spl0_37
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1875,f846,f538,f856,f851]) ).

fof(f2044,plain,
    ( ~ spl0_183
    | ~ spl0_104
    | ~ spl0_15
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1966,f866,f443,f871,f1467]) ).

fof(f2057,plain,
    ( spl0_121
    | ~ spl0_72
    | ~ spl0_30
    | spl0_120 ),
    inference(avatar_split_clause,[],[f1830,f950,f505,f711,f955]) ).

fof(f2068,plain,
    ( spl0_30
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f1344,f421,f397,f505]) ).

fof(f2069,plain,
    ( spl0_176
    | ~ spl0_79
    | ~ spl0_9
    | spl0_131 ),
    inference(avatar_split_clause,[],[f1335,f1005,f421,f746,f1356]) ).

fof(f2086,plain,
    ( c1_1(a301)
    | c2_1(a301)
    | ~ spl0_4
    | spl0_152 ),
    inference(resolution,[],[f405,f1112]) ).

fof(f2087,plain,
    ( c1_1(a296)
    | c2_1(a296)
    | ~ spl0_4
    | spl0_149 ),
    inference(resolution,[],[f405,f1097]) ).

fof(f2105,plain,
    ( spl0_150
    | spl0_151
    | ~ spl0_4
    | spl0_149 ),
    inference(avatar_split_clause,[],[f2087,f1095,f404,f1105,f1100]) ).

fof(f2106,plain,
    ( spl0_153
    | spl0_171
    | ~ spl0_4
    | spl0_152 ),
    inference(avatar_split_clause,[],[f2086,f1110,f404,f1276,f1115]) ).

fof(f2108,plain,
    ( spl0_181
    | spl0_138
    | ~ spl0_33
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1844,f776,f518,f1040,f1457]) ).

fof(f2134,plain,
    ( c1_1(a368)
    | ~ c0_1(a368)
    | ~ spl0_8
    | ~ spl0_111 ),
    inference(resolution,[],[f419,f907]) ).

fof(f2136,plain,
    ( c1_1(a341)
    | ~ c0_1(a341)
    | ~ spl0_8
    | ~ spl0_183 ),
    inference(resolution,[],[f419,f1468]) ).

fof(f2137,plain,
    ( c1_1(a337)
    | ~ c0_1(a337)
    | ~ spl0_8
    | ~ spl0_102 ),
    inference(resolution,[],[f419,f863]) ).

fof(f2143,plain,
    ( c1_1(a306)
    | ~ c0_1(a306)
    | ~ spl0_8
    | ~ spl0_176 ),
    inference(resolution,[],[f419,f1358]) ).

fof(f2151,plain,
    ( c1_1(a291)
    | ~ c0_1(a291)
    | ~ spl0_8
    | ~ spl0_65 ),
    inference(resolution,[],[f419,f678]) ).

fof(f2155,plain,
    ( ~ spl0_112
    | spl0_148
    | ~ spl0_8
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f2134,f905,f418,f1090,f910]) ).

fof(f2179,plain,
    ( c0_1(a325)
    | ~ c2_1(a325)
    | ~ spl0_11
    | ~ spl0_91 ),
    inference(resolution,[],[f429,f808]) ).

fof(f2181,plain,
    ( c0_1(a311)
    | ~ c2_1(a311)
    | ~ spl0_11
    | ~ spl0_85 ),
    inference(resolution,[],[f429,f778]) ).

fof(f2183,plain,
    ( c0_1(a295)
    | ~ c2_1(a295)
    | ~ spl0_11
    | ~ spl0_70 ),
    inference(resolution,[],[f429,f703]) ).

fof(f2192,plain,
    ( spl0_177
    | ~ spl0_102
    | ~ spl0_12
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1438,f1070,f431,f861,f1362]) ).

fof(f2195,plain,
    ( spl0_126
    | ~ spl0_166
    | ~ spl0_12
    | spl0_125 ),
    inference(avatar_split_clause,[],[f1447,f975,f431,f1251,f980]) ).

fof(f2196,plain,
    ( spl0_124
    | ~ spl0_75
    | ~ spl0_12
    | spl0_123 ),
    inference(avatar_split_clause,[],[f1448,f965,f431,f726,f970]) ).

fof(f2203,plain,
    ( spl0_151
    | ~ spl0_178
    | ~ spl0_29
    | spl0_149 ),
    inference(avatar_split_clause,[],[f1774,f1095,f501,f1367,f1105]) ).

fof(f2207,plain,
    ( spl0_145
    | ~ spl0_177
    | ~ spl0_29
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1775,f1070,f501,f1362,f1075]) ).

fof(f2212,plain,
    ( ~ spl0_182
    | spl0_140
    | ~ spl0_11
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f2179,f806,f428,f1050,f1462]) ).

fof(f2213,plain,
    ( ~ spl0_181
    | spl0_138
    | ~ spl0_11
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f2181,f776,f428,f1040,f1457]) ).

fof(f2220,plain,
    ( spl0_168
    | ~ spl0_87
    | ~ spl0_30
    | spl0_139 ),
    inference(avatar_split_clause,[],[f1826,f1045,f505,f786,f1261]) ).

fof(f2221,plain,
    ( ~ spl0_101
    | spl0_174
    | ~ spl0_38
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1897,f846,f542,f1346,f856]) ).

fof(f2241,plain,
    ( c1_1(a311)
    | c2_1(a311)
    | ~ spl0_2
    | ~ spl0_85 ),
    inference(resolution,[],[f398,f778]) ).

fof(f2251,plain,
    ( spl0_181
    | spl0_137
    | ~ spl0_2
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f2241,f776,f397,f1035,f1457]) ).

fof(f2301,plain,
    ( c0_1(a311)
    | c1_1(a311)
    | ~ spl0_18
    | ~ spl0_85 ),
    inference(resolution,[],[f455,f778]) ).

fof(f2311,plain,
    ( spl0_137
    | spl0_138
    | ~ spl0_18
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f2301,f776,f454,f1040,f1035]) ).

fof(f2330,plain,
    ( ~ c1_1(a301)
    | c0_1(a301)
    | ~ spl0_25
    | spl0_153 ),
    inference(resolution,[],[f484,f1117]) ).

fof(f2332,plain,
    ( ~ c1_1(a325)
    | c0_1(a325)
    | ~ spl0_25
    | spl0_182 ),
    inference(resolution,[],[f484,f1464]) ).

fof(f2336,plain,
    ( ~ c1_1(a307)
    | c0_1(a307)
    | ~ spl0_25
    | spl0_133 ),
    inference(resolution,[],[f484,f1017]) ).

fof(f2338,plain,
    ( ~ c1_1(a294)
    | c0_1(a294)
    | ~ spl0_25
    | spl0_117 ),
    inference(resolution,[],[f484,f937]) ).

fof(f2341,plain,
    ( spl0_140
    | ~ spl0_92
    | ~ spl0_25
    | spl0_182 ),
    inference(avatar_split_clause,[],[f2332,f1462,f483,f811,f1050]) ).

fof(f2342,plain,
    ( spl0_25
    | ~ spl0_19
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f1901,f542,f457,f483]) ).

fof(f2399,plain,
    ( ~ c0_1(a329)
    | ~ c1_1(a329)
    | ~ spl0_44
    | ~ spl0_94 ),
    inference(resolution,[],[f568,f823]) ).

fof(f2401,plain,
    ( ~ spl0_95
    | ~ spl0_96
    | ~ spl0_44
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f2399,f821,f567,f831,f826]) ).

fof(f2411,plain,
    ( ~ spl0_65
    | spl0_163
    | ~ spl0_11
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1390,f671,f428,f1211,f676]) ).

fof(f2413,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_11
    | ~ spl0_49 ),
    inference(resolution,[],[f589,f429]) ).

fof(f2418,plain,
    ( c0_1(a337)
    | c1_1(a337)
    | ~ spl0_49
    | spl0_144 ),
    inference(resolution,[],[f589,f1072]) ).

fof(f2427,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_11
    | ~ spl0_49 ),
    inference(duplicate_literal_removal,[],[f2413]) ).

fof(f2431,plain,
    ( spl0_22
    | ~ spl0_11
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f2427,f588,f428,f470]) ).

fof(f2432,plain,
    ( c0_1(a367)
    | c1_1(a367)
    | ~ spl0_51
    | spl0_158 ),
    inference(resolution,[],[f598,f1142]) ).

fof(f2433,plain,
    ( c0_1(a301)
    | c1_1(a301)
    | ~ spl0_51
    | spl0_153 ),
    inference(resolution,[],[f598,f1117]) ).

fof(f2437,plain,
    ( c0_1(a311)
    | c1_1(a311)
    | ~ spl0_51
    | spl0_181 ),
    inference(resolution,[],[f598,f1459]) ).

fof(f2446,plain,
    ( spl0_137
    | spl0_138
    | ~ spl0_51
    | spl0_181 ),
    inference(avatar_split_clause,[],[f2437,f1457,f597,f1040,f1035]) ).

fof(f2447,plain,
    ( spl0_160
    | spl0_161
    | ~ spl0_51
    | spl0_158 ),
    inference(avatar_split_clause,[],[f2432,f1140,f597,f1154,f1149]) ).

fof(f2456,plain,
    ( c0_1(a308)
    | ~ c1_1(a308)
    | ~ spl0_58
    | ~ spl0_82 ),
    inference(resolution,[],[f641,f763]) ).

fof(f2460,plain,
    ( c0_1(a300)
    | ~ c1_1(a300)
    | ~ spl0_58
    | ~ spl0_166 ),
    inference(resolution,[],[f641,f1253]) ).

fof(f2471,plain,
    ( ~ spl0_76
    | spl0_126
    | ~ spl0_58
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f2460,f1251,f640,f980,f731]) ).

fof(f2472,plain,
    ( ~ spl0_83
    | spl0_134
    | ~ spl0_58
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f2456,f761,f640,f1020,f766]) ).

fof(f2481,plain,
    ( ~ c0_1(a315)
    | ~ c1_1(a315)
    | ~ spl0_63
    | ~ spl0_86 ),
    inference(resolution,[],[f666,f783]) ).

fof(f2484,plain,
    ( ~ c0_1(a307)
    | ~ c1_1(a307)
    | ~ spl0_63
    | ~ spl0_80 ),
    inference(resolution,[],[f666,f753]) ).

fof(f2487,plain,
    ( ~ c0_1(a331)
    | ~ c1_1(a331)
    | ~ spl0_63
    | ~ spl0_99 ),
    inference(resolution,[],[f666,f848]) ).

fof(f2488,plain,
    ( ~ c0_1(a323)
    | ~ c1_1(a323)
    | ~ spl0_63
    | ~ spl0_88 ),
    inference(resolution,[],[f666,f793]) ).

fof(f2492,plain,
    ( ~ spl0_162
    | ~ spl0_90
    | ~ spl0_63
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2488,f791,f665,f801,f1206]) ).

fof(f2493,plain,
    ( ~ spl0_101
    | ~ spl0_174
    | ~ spl0_63
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f2487,f846,f665,f1346,f856]) ).

fof(f2494,plain,
    ( ~ spl0_81
    | ~ spl0_179
    | ~ spl0_63
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f2484,f751,f665,f1384,f756]) ).

fof(f2495,plain,
    ( ~ spl0_168
    | ~ spl0_87
    | ~ spl0_63
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f2481,f781,f665,f786,f1261]) ).

fof(f2504,plain,
    ( ~ spl0_76
    | ~ spl0_166
    | ~ spl0_1
    | spl0_125 ),
    inference(avatar_split_clause,[],[f1412,f975,f394,f1251,f731]) ).

fof(f2506,plain,
    ( ~ spl0_68
    | ~ spl0_67
    | ~ spl0_1
    | spl0_116 ),
    inference(avatar_split_clause,[],[f1415,f930,f394,f686,f691]) ).

fof(f2509,plain,
    ( spl0_145
    | spl0_177
    | ~ spl0_22
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1639,f861,f470,f1362,f1075]) ).

fof(f2510,plain,
    ( spl0_127
    | spl0_128
    | ~ spl0_22
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1645,f736,f470,f990,f985]) ).

fof(f2515,plain,
    ( spl0_154
    | ~ spl0_171
    | ~ spl0_25
    | spl0_153 ),
    inference(avatar_split_clause,[],[f2330,f1115,f483,f1276,f1120]) ).

fof(f2516,plain,
    ( spl0_179
    | ~ spl0_81
    | ~ spl0_25
    | spl0_133 ),
    inference(avatar_split_clause,[],[f2336,f1015,f483,f756,f1384]) ).

fof(f2517,plain,
    ( spl0_118
    | ~ spl0_69
    | ~ spl0_25
    | spl0_117 ),
    inference(avatar_split_clause,[],[f2338,f935,f483,f696,f940]) ).

fof(f2519,plain,
    ( spl0_145
    | spl0_177
    | ~ spl0_49
    | spl0_144 ),
    inference(avatar_split_clause,[],[f2418,f1070,f588,f1362,f1075]) ).

fof(f2520,plain,
    ( ~ spl0_71
    | spl0_119
    | ~ spl0_11
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f2183,f701,f428,f945,f706]) ).

fof(f2527,plain,
    ( spl0_126
    | ~ spl0_76
    | ~ spl0_6
    | spl0_125 ),
    inference(avatar_split_clause,[],[f1296,f975,f411,f731,f980]) ).

fof(f2528,plain,
    ( spl0_124
    | ~ spl0_165
    | ~ spl0_6
    | spl0_123 ),
    inference(avatar_split_clause,[],[f1297,f965,f411,f1246,f970]) ).

fof(f2536,plain,
    ( ~ spl0_104
    | spl0_146
    | ~ spl0_8
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f2136,f1467,f418,f1080,f871]) ).

fof(f2537,plain,
    ( ~ spl0_177
    | spl0_145
    | ~ spl0_8
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2137,f861,f418,f1075,f1362]) ).

fof(f2539,plain,
    ( ~ spl0_79
    | spl0_132
    | ~ spl0_8
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f2143,f1356,f418,f1010,f746]) ).

fof(f2541,plain,
    ( ~ spl0_163
    | spl0_113
    | ~ spl0_8
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f2151,f676,f418,f915,f1211]) ).

fof(f2542,plain,
    ( ~ spl0_109
    | spl0_180
    | ~ spl0_10
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1421,f886,f425,f1424,f896]) ).

fof(f2543,plain,
    ( ~ spl0_87
    | spl0_139
    | ~ spl0_10
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1724,f781,f425,f1045,f786]) ).

fof(f2546,plain,
    ( ~ spl0_81
    | spl0_133
    | ~ spl0_14
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1508,f751,f439,f1015,f756]) ).

fof(f2549,plain,
    ( spl0_145
    | ~ spl0_102
    | ~ spl0_40
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1929,f1070,f550,f861,f1075]) ).

fof(f2553,plain,
    ( spl0_171
    | spl0_154
    | ~ spl0_51
    | spl0_153 ),
    inference(avatar_split_clause,[],[f2433,f1115,f597,f1120,f1276]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f406]) ).

cnf(s2,plain,
    ( spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f416]) ).

cnf(s3,plain,
    ( spl0_3
    | spl0_7
    | spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f423]) ).

cnf(s4,plain,
    ( spl0_3
    | spl0_10
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f433]) ).

cnf(s5,plain,
    ( spl0_3
    | spl0_5
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f434]) ).

cnf(s6,plain,
    ( spl0_3
    | spl0_7
    | spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f441]) ).

cnf(s7,plain,
    ( spl0_3
    | spl0_9
    | spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f448]) ).

cnf(s9,plain,
    ( spl0_3
    | spl0_12
    | spl0_19
    | ~ spl0_20 ),
    inference(sat_conversion,[],[f464]) ).

cnf(s10,plain,
    ( spl0_3
    | spl0_19
    | ~ spl0_21
    | spl0_22 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s12,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f485]) ).

cnf(s13,plain,
    ( spl0_3
    | spl0_18
    | spl0_25
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f490]) ).

cnf(s14,plain,
    ( spl0_3
    | spl0_6
    | spl0_25
    | ~ spl0_27 ),
    inference(sat_conversion,[],[f495]) ).

cnf(s15,plain,
    ( spl0_3
    | spl0_22
    | ~ spl0_28
    | spl0_29 ),
    inference(sat_conversion,[],[f503]) ).

cnf(s16,plain,
    ( spl0_3
    | ~ spl0_26
    | spl0_29
    | spl0_30 ),
    inference(sat_conversion,[],[f507]) ).

cnf(s17,plain,
    ( spl0_3
    | spl0_10
    | spl0_19
    | spl0_31 ),
    inference(sat_conversion,[],[f512]) ).

cnf(s18,plain,
    ( spl0_1
    | spl0_3
    | spl0_32
    | spl0_33 ),
    inference(sat_conversion,[],[f520]) ).

cnf(s19,plain,
    ( spl0_1
    | spl0_3
    | ~ spl0_20
    | spl0_33 ),
    inference(sat_conversion,[],[f521]) ).

cnf(s21,plain,
    ( spl0_3
    | spl0_8
    | spl0_30
    | ~ spl0_35 ),
    inference(sat_conversion,[],[f531]) ).

cnf(s23,plain,
    ( spl0_3
    | ~ spl0_21
    | spl0_29
    | spl0_37 ),
    inference(sat_conversion,[],[f540]) ).

cnf(s24,plain,
    ( spl0_3
    | spl0_10
    | ~ spl0_17
    | spl0_38 ),
    inference(sat_conversion,[],[f544]) ).

cnf(s25,plain,
    ( spl0_3
    | spl0_15
    | spl0_39
    | spl0_40 ),
    inference(sat_conversion,[],[f552]) ).

cnf(s27,plain,
    ( spl0_3
    | spl0_37
    | spl0_38
    | spl0_42 ),
    inference(sat_conversion,[],[f561]) ).

cnf(s28,plain,
    ( spl0_3
    | spl0_38
    | ~ spl0_43
    | spl0_44 ),
    inference(sat_conversion,[],[f569]) ).

cnf(s30,plain,
    ( spl0_3
    | ~ spl0_47
    | ~ spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f590]) ).

cnf(s31,plain,
    ( spl0_3
    | spl0_39
    | ~ spl0_47
    | spl0_49 ),
    inference(sat_conversion,[],[f591]) ).

cnf(s32,plain,
    ( spl0_3
    | spl0_42
    | spl0_50
    | spl0_51 ),
    inference(sat_conversion,[],[f599]) ).

cnf(s33,plain,
    ( spl0_3
    | spl0_51
    | spl0_52 ),
    inference(sat_conversion,[],[f604]) ).

cnf(s36,plain,
    ( spl0_3
    | spl0_6
    | ~ spl0_28
    | ~ spl0_35 ),
    inference(sat_conversion,[],[f607]) ).

cnf(s37,plain,
    ( spl0_3
    | spl0_6
    | ~ spl0_24
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f612]) ).

cnf(s39,plain,
    ( spl0_3
    | spl0_25
    | ~ spl0_27
    | ~ spl0_54 ),
    inference(sat_conversion,[],[f618]) ).

cnf(s40,plain,
    ( spl0_3
    | spl0_29
    | spl0_46
    | spl0_55 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s41,plain,
    ( spl0_3
    | spl0_29
    | spl0_42
    | spl0_56 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s42,plain,
    ( spl0_3
    | ~ spl0_21
    | spl0_30
    | spl0_46 ),
    inference(sat_conversion,[],[f629]) ).

cnf(s44,plain,
    ( spl0_3
    | spl0_33
    | ~ spl0_36 ),
    inference(sat_conversion,[],[f631]) ).

cnf(s45,plain,
    ( spl0_3
    | spl0_14
    | spl0_39
    | spl0_52 ),
    inference(sat_conversion,[],[f632]) ).

cnf(s46,plain,
    ( spl0_3
    | ~ spl0_28
    | spl0_38
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s48,plain,
    ( spl0_3
    | ~ spl0_43
    | spl0_55
    | spl0_58 ),
    inference(sat_conversion,[],[f642]) ).

cnf(s49,plain,
    ( spl0_3
    | spl0_10
    | ~ spl0_28
    | spl0_39 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s50,plain,
    ( spl0_3
    | spl0_5
    | spl0_46
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f644]) ).

cnf(s55,plain,
    ( spl0_3
    | ~ spl0_21
    | ~ spl0_47
    | spl0_63 ),
    inference(sat_conversion,[],[f667]) ).

cnf(s57,plain,
    ( spl0_3
    | spl0_42
    | spl0_63 ),
    inference(sat_conversion,[],[f669]) ).

cnf(s58,plain,
    ( spl0_43
    | spl0_64 ),
    inference(sat_conversion,[],[f674]) ).

cnf(s59,plain,
    ( spl0_43
    | spl0_65 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s61,plain,
    ( ~ spl0_56
    | spl0_67 ),
    inference(sat_conversion,[],[f689]) ).

cnf(s62,plain,
    ( ~ spl0_56
    | spl0_68 ),
    inference(sat_conversion,[],[f694]) ).

cnf(s63,plain,
    ( ~ spl0_42
    | spl0_69 ),
    inference(sat_conversion,[],[f699]) ).

cnf(s64,plain,
    ( spl0_21
    | spl0_70 ),
    inference(sat_conversion,[],[f704]) ).

cnf(s65,plain,
    ( spl0_21
    | spl0_71 ),
    inference(sat_conversion,[],[f709]) ).

cnf(s66,plain,
    ( ~ spl0_31
    | spl0_72 ),
    inference(sat_conversion,[],[f714]) ).

cnf(s69,plain,
    ( spl0_26
    | spl0_75 ),
    inference(sat_conversion,[],[f729]) ).

cnf(s70,plain,
    ( ~ spl0_39
    | spl0_76 ),
    inference(sat_conversion,[],[f734]) ).

cnf(s71,plain,
    ( spl0_24
    | spl0_77 ),
    inference(sat_conversion,[],[f739]) ).

cnf(s73,plain,
    ( ~ spl0_46
    | spl0_79 ),
    inference(sat_conversion,[],[f749]) ).

cnf(s74,plain,
    ( spl0_53
    | spl0_80 ),
    inference(sat_conversion,[],[f754]) ).

cnf(s75,plain,
    ( spl0_53
    | spl0_81 ),
    inference(sat_conversion,[],[f759]) ).

cnf(s76,plain,
    ( spl0_17
    | spl0_82 ),
    inference(sat_conversion,[],[f764]) ).

cnf(s77,plain,
    ( spl0_17
    | spl0_83 ),
    inference(sat_conversion,[],[f769]) ).

cnf(s79,plain,
    ( spl0_28
    | spl0_85 ),
    inference(sat_conversion,[],[f779]) ).

cnf(s80,plain,
    ( spl0_27
    | spl0_86 ),
    inference(sat_conversion,[],[f784]) ).

cnf(s81,plain,
    ( spl0_27
    | spl0_87 ),
    inference(sat_conversion,[],[f789]) ).

cnf(s82,plain,
    ( ~ spl0_55
    | spl0_88 ),
    inference(sat_conversion,[],[f794]) ).

cnf(s83,plain,
    ( ~ spl0_55
    | spl0_89 ),
    inference(sat_conversion,[],[f799]) ).

cnf(s84,plain,
    ( ~ spl0_55
    | spl0_90 ),
    inference(sat_conversion,[],[f804]) ).

cnf(s85,plain,
    ( spl0_48
    | spl0_91 ),
    inference(sat_conversion,[],[f809]) ).

cnf(s86,plain,
    ( spl0_48
    | spl0_92 ),
    inference(sat_conversion,[],[f814]) ).

cnf(s88,plain,
    ( spl0_36
    | spl0_94 ),
    inference(sat_conversion,[],[f824]) ).

cnf(s89,plain,
    ( spl0_36
    | spl0_95 ),
    inference(sat_conversion,[],[f829]) ).

cnf(s90,plain,
    ( spl0_36
    | spl0_96 ),
    inference(sat_conversion,[],[f834]) ).

cnf(s91,plain,
    ( spl0_20
    | spl0_97 ),
    inference(sat_conversion,[],[f839]) ).

cnf(s92,plain,
    ( spl0_20
    | spl0_98 ),
    inference(sat_conversion,[],[f844]) ).

cnf(s93,plain,
    ( ~ spl0_32
    | spl0_99 ),
    inference(sat_conversion,[],[f849]) ).

cnf(s94,plain,
    ( ~ spl0_32
    | spl0_100 ),
    inference(sat_conversion,[],[f854]) ).

cnf(s95,plain,
    ( ~ spl0_32
    | spl0_101 ),
    inference(sat_conversion,[],[f859]) ).

cnf(s96,plain,
    ( ~ spl0_52
    | spl0_102 ),
    inference(sat_conversion,[],[f864]) ).

cnf(s97,plain,
    ( spl0_54
    | spl0_103 ),
    inference(sat_conversion,[],[f869]) ).

cnf(s98,plain,
    ( spl0_54
    | spl0_104 ),
    inference(sat_conversion,[],[f874]) ).

cnf(s101,plain,
    ( ~ spl0_50
    | spl0_107 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s102,plain,
    ( ~ spl0_50
    | spl0_108 ),
    inference(sat_conversion,[],[f894]) ).

cnf(s103,plain,
    ( ~ spl0_50
    | spl0_109 ),
    inference(sat_conversion,[],[f899]) ).

cnf(s104,plain,
    ( ~ spl0_110
    | spl0_111 ),
    inference(sat_conversion,[],[f908]) ).

cnf(s105,plain,
    ( ~ spl0_110
    | spl0_112 ),
    inference(sat_conversion,[],[f913]) ).

cnf(s106,plain,
    ( spl0_43
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f918]) ).

cnf(s109,plain,
    ( ~ spl0_56
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f933]) ).

cnf(s110,plain,
    ( ~ spl0_42
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f938]) ).

cnf(s111,plain,
    ( ~ spl0_42
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f943]) ).

cnf(s112,plain,
    ( spl0_21
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f948]) ).

cnf(s113,plain,
    ( ~ spl0_31
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f953]) ).

cnf(s114,plain,
    ( ~ spl0_31
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f958]) ).

cnf(s116,plain,
    ( spl0_26
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f968]) ).

cnf(s117,plain,
    ( spl0_26
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f973]) ).

cnf(s118,plain,
    ( ~ spl0_39
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f978]) ).

cnf(s119,plain,
    ( ~ spl0_39
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f983]) ).

cnf(s120,plain,
    ( spl0_24
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f988]) ).

cnf(s121,plain,
    ( spl0_24
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f993]) ).

cnf(s124,plain,
    ( ~ spl0_46
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f1008]) ).

cnf(s125,plain,
    ( ~ spl0_46
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f1013]) ).

cnf(s126,plain,
    ( spl0_53
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1018]) ).

cnf(s127,plain,
    ( spl0_17
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1023]) ).

cnf(s130,plain,
    ( spl0_28
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1038]) ).

cnf(s131,plain,
    ( spl0_28
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f1043]) ).

cnf(s132,plain,
    ( spl0_27
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1048]) ).

cnf(s133,plain,
    ( spl0_48
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1053]) ).

cnf(s136,plain,
    ( spl0_20
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1068]) ).

cnf(s137,plain,
    ( ~ spl0_52
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1073]) ).

cnf(s138,plain,
    ( ~ spl0_52
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1078]) ).

cnf(s139,plain,
    ( spl0_54
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1083]) ).

cnf(s141,plain,
    ( ~ spl0_110
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1093]) ).

cnf(s142,plain,
    ( spl0_47
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1098]) ).

cnf(s143,plain,
    ( spl0_47
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1103]) ).

cnf(s144,plain,
    ( spl0_47
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1108]) ).

cnf(s145,plain,
    ( spl0_35
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1113]) ).

cnf(s146,plain,
    ( spl0_35
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1118]) ).

cnf(s147,plain,
    ( spl0_35
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1123]) ).

cnf(s151,plain,
    ( ~ spl0_158
    | spl0_159 ),
    inference(sat_conversion,[],[f1147]) ).

cnf(s152,plain,
    ( spl0_159
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1152]) ).

cnf(s153,plain,
    ( spl0_159
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1157]) ).

cnf(s156,plain,
    ( spl0_52
    | ~ spl0_53
    | spl0_56 ),
    inference(sat_conversion,[],[f1160]) ).

cnf(s157,plain,
    ( ~ spl0_27
    | spl0_31
    | spl0_32 ),
    inference(sat_conversion,[],[f1161]) ).

cnf(s162,plain,
    ( spl0_42
    | ~ spl0_43
    | spl0_52 ),
    inference(sat_conversion,[],[f1166]) ).

cnf(s163,plain,
    ( ~ spl0_24
    | ~ spl0_27
    | spl0_32 ),
    inference(sat_conversion,[],[f1167]) ).

cnf(s164,plain,
    ( ~ spl0_54
    | spl0_110
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1168]) ).

cnf(s189,plain,
    ( ~ spl0_3
    | spl0_54 ),
    inference(sat_conversion,[],[f1193]) ).

cnf(s192,plain,
    ( ~ spl0_3
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f1196]) ).

cnf(s196,plain,
    ( ~ spl0_3
    | spl0_159 ),
    inference(sat_conversion,[],[f1200]) ).

cnf(s198,plain,
    ( ~ spl0_5
    | ~ spl0_64
    | spl0_113
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1214]) ).

cnf(s202,plain,
    ( ~ spl0_7
    | ~ spl0_76
    | spl0_125
    | spl0_166 ),
    inference(sat_conversion,[],[f1254]) ).

cnf(s211,plain,
    ( ~ spl0_8
    | ~ spl0_89
    | ~ spl0_90
    | spl0_162 ),
    inference(sat_conversion,[],[f1321]) ).

cnf(s217,plain,
    ( ~ spl0_9
    | spl0_149
    | spl0_150
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f1370]) ).

cnf(s222,plain,
    ( ~ spl0_6
    | ~ spl0_11
    | spl0_58 ),
    inference(sat_conversion,[],[f1393]) ).

cnf(s235,plain,
    ( ~ spl0_15
    | ~ spl0_107
    | ~ spl0_109
    | ~ spl0_180 ),
    inference(sat_conversion,[],[f1524]) ).

cnf(s236,plain,
    ( ~ spl0_16
    | ~ spl0_64
    | ~ spl0_65
    | spl0_113 ),
    inference(sat_conversion,[],[f1533]) ).

cnf(s240,plain,
    ( ~ spl0_19
    | spl0_125
    | spl0_126
    | spl0_166 ),
    inference(sat_conversion,[],[f1574]) ).

cnf(s248,plain,
    ( ~ spl0_19
    | spl0_149
    | spl0_150
    | spl0_178 ),
    inference(sat_conversion,[],[f1582]) ).

cnf(s249,plain,
    ( ~ spl0_19
    | spl0_152
    | spl0_153
    | spl0_154 ),
    inference(sat_conversion,[],[f1583]) ).

cnf(s265,plain,
    ( ~ spl0_22
    | ~ spl0_75
    | spl0_124
    | spl0_165 ),
    inference(sat_conversion,[],[f1655]) ).

cnf(s268,plain,
    ( ~ spl0_22
    | spl0_137
    | spl0_138
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f1658]) ).

cnf(s279,plain,
    ( ~ spl0_6
    | ~ spl0_14
    | spl0_25 ),
    inference(sat_conversion,[],[f1710]) ).

cnf(s280,plain,
    ( ~ spl0_14
    | ~ spl0_19
    | spl0_25 ),
    inference(sat_conversion,[],[f1711]) ).

cnf(s281,plain,
    ( ~ spl0_5
    | ~ spl0_88
    | ~ spl0_90
    | spl0_162 ),
    inference(sat_conversion,[],[f1712]) ).

cnf(s285,plain,
    ( ~ spl0_29
    | ~ spl0_79
    | spl0_131
    | spl0_132 ),
    inference(sat_conversion,[],[f1716]) ).

cnf(s287,plain,
    ( ~ spl0_16
    | ~ spl0_85
    | spl0_137
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f1721]) ).

cnf(s292,plain,
    ( ~ spl0_5
    | ~ spl0_29
    | ~ spl0_72
    | spl0_121 ),
    inference(sat_conversion,[],[f1812]) ).

cnf(s298,plain,
    ( ~ spl0_37
    | ~ spl0_88
    | ~ spl0_89
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1880]) ).

cnf(s300,plain,
    ( ~ spl0_37
    | ~ spl0_107
    | ~ spl0_108
    | ~ spl0_180 ),
    inference(sat_conversion,[],[f1882]) ).

cnf(s324,plain,
    ( ~ spl0_15
    | ~ spl0_88
    | ~ spl0_89
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f2001]) ).

cnf(s337,plain,
    ( ~ spl0_13
    | ~ spl0_97
    | ~ spl0_98
    | spl0_143 ),
    inference(sat_conversion,[],[f2014]) ).

cnf(s351,plain,
    ( ~ spl0_10
    | ~ spl0_103
    | ~ spl0_104
    | spl0_183 ),
    inference(sat_conversion,[],[f2026]) ).

cnf(s352,plain,
    ( ~ spl0_5
    | ~ spl0_29
    | ~ spl0_104
    | spl0_146 ),
    inference(sat_conversion,[],[f2027]) ).

cnf(s353,plain,
    ( ~ spl0_2
    | ~ spl0_103
    | spl0_146
    | spl0_183 ),
    inference(sat_conversion,[],[f2028]) ).

cnf(s364,plain,
    ( ~ spl0_37
    | ~ spl0_99
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f2039]) ).

cnf(s369,plain,
    ( ~ spl0_15
    | ~ spl0_103
    | ~ spl0_104
    | ~ spl0_183 ),
    inference(sat_conversion,[],[f2044]) ).

cnf(s382,plain,
    ( ~ spl0_30
    | ~ spl0_72
    | spl0_120
    | spl0_121 ),
    inference(sat_conversion,[],[f2057]) ).

cnf(s393,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | spl0_30 ),
    inference(sat_conversion,[],[f2068]) ).

cnf(s394,plain,
    ( ~ spl0_9
    | ~ spl0_79
    | spl0_131
    | spl0_176 ),
    inference(sat_conversion,[],[f2069]) ).

cnf(s401,plain,
    ( ~ spl0_4
    | spl0_149
    | spl0_150
    | spl0_151 ),
    inference(sat_conversion,[],[f2105]) ).

cnf(s402,plain,
    ( ~ spl0_4
    | spl0_152
    | spl0_153
    | spl0_171 ),
    inference(sat_conversion,[],[f2106]) ).

cnf(s404,plain,
    ( ~ spl0_33
    | ~ spl0_85
    | spl0_138
    | spl0_181 ),
    inference(sat_conversion,[],[f2108]) ).

cnf(s408,plain,
    ( ~ spl0_8
    | ~ spl0_111
    | ~ spl0_112
    | spl0_148 ),
    inference(sat_conversion,[],[f2155]) ).

cnf(s415,plain,
    ( ~ spl0_12
    | ~ spl0_102
    | spl0_144
    | spl0_177 ),
    inference(sat_conversion,[],[f2192]) ).

cnf(s418,plain,
    ( ~ spl0_12
    | spl0_125
    | spl0_126
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f2195]) ).

cnf(s419,plain,
    ( ~ spl0_12
    | ~ spl0_75
    | spl0_123
    | spl0_124 ),
    inference(sat_conversion,[],[f2196]) ).

cnf(s426,plain,
    ( ~ spl0_29
    | spl0_149
    | spl0_151
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f2203]) ).

cnf(s430,plain,
    ( ~ spl0_29
    | spl0_144
    | spl0_145
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f2207]) ).

cnf(s436,plain,
    ( ~ spl0_11
    | ~ spl0_91
    | spl0_140
    | ~ spl0_182 ),
    inference(sat_conversion,[],[f2212]) ).

cnf(s437,plain,
    ( ~ spl0_11
    | ~ spl0_85
    | spl0_138
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f2213]) ).

cnf(s444,plain,
    ( ~ spl0_30
    | ~ spl0_87
    | spl0_139
    | spl0_168 ),
    inference(sat_conversion,[],[f2220]) ).

cnf(s445,plain,
    ( ~ spl0_38
    | ~ spl0_99
    | ~ spl0_101
    | spl0_174 ),
    inference(sat_conversion,[],[f2221]) ).

cnf(s449,plain,
    ( ~ spl0_2
    | ~ spl0_85
    | spl0_137
    | spl0_181 ),
    inference(sat_conversion,[],[f2251]) ).

cnf(s455,plain,
    ( ~ spl0_18
    | ~ spl0_85
    | spl0_137
    | spl0_138 ),
    inference(sat_conversion,[],[f2311]) ).

cnf(s456,plain,
    ( ~ spl0_25
    | ~ spl0_92
    | spl0_140
    | spl0_182 ),
    inference(sat_conversion,[],[f2341]) ).

cnf(s457,plain,
    ( ~ spl0_19
    | spl0_25
    | ~ spl0_38 ),
    inference(sat_conversion,[],[f2342]) ).

cnf(s465,plain,
    ( ~ spl0_44
    | ~ spl0_94
    | ~ spl0_95
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f2401]) ).

cnf(s475,plain,
    ( ~ spl0_11
    | ~ spl0_64
    | ~ spl0_65
    | spl0_163 ),
    inference(sat_conversion,[],[f2411]) ).

cnf(s479,plain,
    ( ~ spl0_11
    | spl0_22
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f2431]) ).

cnf(s482,plain,
    ( ~ spl0_51
    | spl0_137
    | spl0_138
    | spl0_181 ),
    inference(sat_conversion,[],[f2446]) ).

cnf(s483,plain,
    ( ~ spl0_51
    | spl0_158
    | spl0_160
    | spl0_161 ),
    inference(sat_conversion,[],[f2447]) ).

cnf(s486,plain,
    ( ~ spl0_58
    | ~ spl0_76
    | spl0_126
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f2471]) ).

cnf(s487,plain,
    ( ~ spl0_58
    | ~ spl0_82
    | ~ spl0_83
    | spl0_134 ),
    inference(sat_conversion,[],[f2472]) ).

cnf(s488,plain,
    ( ~ spl0_63
    | ~ spl0_88
    | ~ spl0_90
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2492]) ).

cnf(s489,plain,
    ( ~ spl0_63
    | ~ spl0_99
    | ~ spl0_101
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f2493]) ).

cnf(s490,plain,
    ( ~ spl0_63
    | ~ spl0_80
    | ~ spl0_81
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f2494]) ).

cnf(s491,plain,
    ( ~ spl0_63
    | ~ spl0_86
    | ~ spl0_87
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2495]) ).

cnf(s500,plain,
    ( ~ spl0_1
    | ~ spl0_76
    | spl0_125
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f2504]) ).

cnf(s502,plain,
    ( ~ spl0_1
    | ~ spl0_67
    | ~ spl0_68
    | spl0_116 ),
    inference(sat_conversion,[],[f2506]) ).

cnf(s505,plain,
    ( ~ spl0_22
    | ~ spl0_102
    | spl0_145
    | spl0_177 ),
    inference(sat_conversion,[],[f2509]) ).

cnf(s506,plain,
    ( ~ spl0_22
    | ~ spl0_77
    | spl0_127
    | spl0_128 ),
    inference(sat_conversion,[],[f2510]) ).

cnf(s511,plain,
    ( ~ spl0_25
    | spl0_153
    | spl0_154
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f2515]) ).

cnf(s512,plain,
    ( ~ spl0_25
    | ~ spl0_81
    | spl0_133
    | spl0_179 ),
    inference(sat_conversion,[],[f2516]) ).

cnf(s513,plain,
    ( ~ spl0_25
    | ~ spl0_69
    | spl0_117
    | spl0_118 ),
    inference(sat_conversion,[],[f2517]) ).

cnf(s515,plain,
    ( ~ spl0_49
    | spl0_144
    | spl0_145
    | spl0_177 ),
    inference(sat_conversion,[],[f2519]) ).

cnf(s516,plain,
    ( ~ spl0_11
    | ~ spl0_70
    | ~ spl0_71
    | spl0_119 ),
    inference(sat_conversion,[],[f2520]) ).

cnf(s523,plain,
    ( ~ spl0_6
    | ~ spl0_76
    | spl0_125
    | spl0_126 ),
    inference(sat_conversion,[],[f2527]) ).

cnf(s524,plain,
    ( ~ spl0_6
    | spl0_123
    | spl0_124
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2528]) ).

cnf(s532,plain,
    ( ~ spl0_8
    | ~ spl0_104
    | spl0_146
    | ~ spl0_183 ),
    inference(sat_conversion,[],[f2536]) ).

cnf(s533,plain,
    ( ~ spl0_8
    | ~ spl0_102
    | spl0_145
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f2537]) ).

cnf(s535,plain,
    ( ~ spl0_8
    | ~ spl0_79
    | spl0_132
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2539]) ).

cnf(s537,plain,
    ( ~ spl0_8
    | ~ spl0_65
    | spl0_113
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2541]) ).

cnf(s538,plain,
    ( ~ spl0_10
    | ~ spl0_107
    | ~ spl0_109
    | spl0_180 ),
    inference(sat_conversion,[],[f2542]) ).

cnf(s539,plain,
    ( ~ spl0_10
    | ~ spl0_86
    | ~ spl0_87
    | spl0_139 ),
    inference(sat_conversion,[],[f2543]) ).

cnf(s542,plain,
    ( ~ spl0_14
    | ~ spl0_80
    | ~ spl0_81
    | spl0_133 ),
    inference(sat_conversion,[],[f2546]) ).

cnf(s545,plain,
    ( ~ spl0_40
    | ~ spl0_102
    | spl0_144
    | spl0_145 ),
    inference(sat_conversion,[],[f2549]) ).

cnf(s549,plain,
    ( ~ spl0_51
    | spl0_153
    | spl0_154
    | spl0_171 ),
    inference(sat_conversion,[],[f2553]) ).

cnf(s556,plain,
    ( spl0_27
    | ~ spl0_10 ),
    inference(rat,[],[s539,s80,s81,s132]) ).

cnf(s557,plain,
    ( spl0_35
    | ~ spl0_25
    | ~ spl0_4 ),
    inference(rat,[],[s402,s511,s145,s146,s147]) ).

cnf(s559,plain,
    ( spl0_43
    | ~ spl0_16 ),
    inference(rat,[],[s236,s58,s59,s106]) ).

cnf(s560,plain,
    ( ~ spl0_42
    | ~ spl0_25 ),
    inference(rat,[],[s513,s63,s110,s111]) ).

cnf(s561,plain,
    ( ~ spl0_31
    | ~ spl0_30 ),
    inference(rat,[],[s382,s66,s113,s114]) ).

cnf(s562,plain,
    ( ~ spl0_27
    | spl0_8
    | spl0_6
    | ~ spl0_4
    | spl0_3 ),
    inference(rat,[],[s27,s445,s364,s489,s93,s94,s95,s157,s561,s57,s560,s21,s557,s14]) ).

cnf(s563,plain,
    ( ~ spl0_25
    | ~ spl0_86
    | ~ spl0_87
    | spl0_139
    | spl0_8
    | ~ spl0_4
    | spl0_3 ),
    inference(rat,[],[s491,s444,s57,s21,s560,s557]) ).

cnf(s564,plain,
    ( spl0_21
    | ~ spl0_11 ),
    inference(rat,[],[s516,s64,s65,s112]) ).

cnf(s565,plain,
    ( spl0_47
    | ~ spl0_4 ),
    inference(rat,[],[s401,s142,s143,s144]) ).

cnf(s566,plain,
    ( spl0_26
    | ~ spl0_12 ),
    inference(rat,[],[s419,s69,s116,s117]) ).

cnf(s567,plain,
    ( spl0_28
    | ~ spl0_18 ),
    inference(rat,[],[s455,s79,s130,s131]) ).

cnf(s568,plain,
    ( ~ spl0_12
    | spl0_25
    | spl0_10
    | ~ spl0_7
    | spl0_3 ),
    inference(rat,[],[s202,s418,s70,s118,s119,s49,s567,s13,s566]) ).

cnf(s569,plain,
    ( spl0_8
    | ~ spl0_7
    | spl0_6
    | ~ spl0_4
    | spl0_3
    | spl0_2 ),
    inference(rat,[],[s249,s145,s146,s147,s21,s444,s491,s10,s55,s564,s4,s568,s506,s71,s120,s121,s12,s563,s556,s80,s81,s132,s562,s565]) ).

cnf(s570,plain,
    ( spl0_25
    | ~ spl0_8
    | spl0_6
    | spl0_5
    | ~ spl0_47
    | spl0_3 ),
    inference(rat,[],[s394,s535,s73,s124,s125,s42,s444,s491,s55,s564,s4,s568,s5,s556,s80,s81,s132,s14,s2]) ).

cnf(s571,plain,
    ( ~ spl0_46
    | ~ spl0_9
    | ~ spl0_8 ),
    inference(rat,[],[s394,s535,s73,s124,s125]) ).

cnf(s572,plain,
    ( spl0_53
    | ~ spl0_63
    | ~ spl0_25 ),
    inference(rat,[],[s490,s512,s74,s75,s126]) ).

cnf(s573,plain,
    ( ~ spl0_11
    | spl0_22
    | ~ spl0_25
    | ~ spl0_47
    | spl0_3 ),
    inference(rat,[],[s436,s456,s85,s86,s133,s30,s479]) ).

cnf(s574,plain,
    ( ~ spl0_32
    | ~ spl0_37 ),
    inference(rat,[],[s364,s93,s94,s95]) ).

cnf(s576,plain,
    ( ~ spl0_50
    | ~ spl0_37
    | ~ spl0_10 ),
    inference(rat,[],[s300,s538,s101,s102,s103]) ).

cnf(s580,plain,
    ( spl0_54
    | ~ spl0_10
    | ~ spl0_8 ),
    inference(rat,[],[s351,s532,s97,s98,s139]) ).

cnf(s581,plain,
    ( ~ spl0_104
    | ~ spl0_103
    | ~ spl0_15
    | ~ spl0_10 ),
    inference(rat,[],[s351,s369]) ).

cnf(s582,plain,
    ( ~ spl0_55
    | ~ spl0_15 ),
    inference(rat,[],[s324,s82,s83,s84]) ).

cnf(s583,plain,
    ( spl0_159
    | ~ spl0_51 ),
    inference(rat,[],[s483,s151,s152,s153]) ).

cnf(s584,plain,
    ( ~ spl0_110
    | ~ spl0_8 ),
    inference(rat,[],[s408,s104,s105,s141]) ).

cnf(s585,plain,
    ( ~ spl0_55
    | ~ spl0_63
    | ~ spl0_8 ),
    inference(rat,[],[s211,s488,s82,s83,s84]) ).

cnf(s586,plain,
    ( spl0_6
    | spl0_5
    | ~ spl0_4
    | spl0_3
    | spl0_2 ),
    inference(rat,[],[s48,s486,s585,s202,s559,s70,s118,s119,s7,s31,s235,s515,s538,s533,s101,s103,s96,s137,s138,s32,s33,s583,s164,s584,s580,s5,s571,s50,s572,s57,s560,s570,s569,s2,s565]) ).

cnf(s587,plain,
    ( ~ spl0_39
    | ~ spl0_6 ),
    inference(rat,[],[s523,s70,s118,s119]) ).

cnf(s588,plain,
    ( ~ spl0_52
    | ~ spl0_8
    | ~ spl0_49 ),
    inference(rat,[],[s533,s515,s96,s137,s138]) ).

cnf(s589,plain,
    ( ~ spl0_8
    | ~ spl0_49
    | ~ spl0_6
    | spl0_5
    | spl0_3 ),
    inference(rat,[],[s50,s571,s572,s5,s57,s580,s560,s164,s279,s583,s45,s33,s588,s584,s587]) ).

cnf(s590,plain,
    ( ~ spl0_25
    | ~ spl0_27
    | spl0_8
    | ~ spl0_4
    | spl0_3 ),
    inference(rat,[],[s445,s27,s489,s574,s93,s95,s157,s561,s57,s21,s560,s557]) ).

cnf(s591,plain,
    ( ~ spl0_10
    | spl0_8
    | ~ spl0_6
    | ~ spl0_4
    | spl0_3 ),
    inference(rat,[],[s545,s25,s96,s137,s138,s581,s45,s97,s98,s279,s39,s590,s556,s587]) ).

cnf(s592,plain,
    ( ~ spl0_25
    | spl0_8
    | spl0_3
    | ~ spl0_4 ),
    inference(rat,[],[s563,s80,s81,s132,s590]) ).

cnf(s593,plain,
    ( spl0_5
    | ~ spl0_4
    | spl0_3
    | spl0_2 ),
    inference(rat,[],[s479,s4,s506,s566,s71,s120,s121,s13,s12,s592,s567,s49,s591,s589,s31,s587,s586,s565]) ).

cnf(s594,plain,
    ( ~ spl0_32
    | ~ spl0_38
    | ~ spl0_63 ),
    inference(rat,[],[s445,s489,s93,s95]) ).

cnf(s595,plain,
    ( ~ spl0_10
    | ~ spl0_85
    | spl0_137
    | spl0_138
    | spl0_42
    | ~ spl0_8
    | ~ spl0_5
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s571,s40,s7,s292,s287,s66,s114,s404,s157,s18,s594,s235,s27,s538,s576,s101,s103,s32,s583,s164,s580,s556,s584,s585,s57]) ).

cnf(s596,plain,
    ( ~ spl0_31
    | ~ spl0_26
    | ~ spl0_5
    | spl0_3 ),
    inference(rat,[],[s16,s292,s561,s66,s114]) ).

cnf(s597,plain,
    ( ~ spl0_39
    | ~ spl0_19
    | ~ spl0_12 ),
    inference(rat,[],[s240,s418,s118,s119]) ).

cnf(s598,plain,
    ( ~ spl0_32
    | spl0_42
    | spl0_3 ),
    inference(rat,[],[s27,s594,s574,s57]) ).

cnf(s599,plain,
    ( ~ spl0_25
    | spl0_6
    | ~ spl0_8
    | ~ spl0_5
    | ~ spl0_4
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s491,s444,s80,s81,s132,s157,s598,s16,s352,s98,s139,s164,s583,s33,s588,s31,s597,s17,s596,s566,s4,s595,s573,s506,s71,s120,s121,s37,s572,s79,s130,s131,s57,s36,s560,s557,s565,s584]) ).

cnf(s600,plain,
    ( ~ spl0_31
    | ~ spl0_33
    | spl0_22
    | spl0_10
    | ~ spl0_5
    | spl0_3 ),
    inference(rat,[],[s404,s437,s79,s131,s4,s15,s566,s292,s596,s66,s114]) ).

cnf(s601,plain,
    ( ~ spl0_33
    | spl0_22
    | spl0_10
    | spl0_25
    | ~ spl0_5
    | ~ spl0_47
    | spl0_3 ),
    inference(rat,[],[s4,s566,s437,s13,s404,s567,s79,s131,s46,s457,s17,s600]) ).

cnf(s602,plain,
    ( ~ spl0_31
    | spl0_37
    | spl0_10
    | ~ spl0_5
    | spl0_3 ),
    inference(rat,[],[s564,s4,s23,s566,s292,s596,s66,s114]) ).

cnf(s603,plain,
    ( spl0_6
    | ~ spl0_8
    | spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s475,s4,s537,s568,s58,s59,s106,s6,s28,s280,s457,s17,s602,s337,s465,s574,s91,s92,s136,s88,s89,s90,s18,s19,s44,s601,s506,s556,s71,s120,s121,s14,s12,s599,s565,s593,s1]) ).

cnf(s604,plain,
    ( ~ spl0_8
    | spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s491,s444,s80,s81,s132,s16,s157,s566,s600,s4,s268,s475,s482,s537,s130,s131,s58,s59,s106,s18,s49,s352,s162,s598,s57,s580,s98,s139,s560,s164,s279,s583,s45,s33,s588,s31,s587,s603,s584,s565,s593,s1]) ).

cnf(s605,plain,
    ( ~ spl0_10
    | spl0_8
    | ~ spl0_4
    | spl0_3 ),
    inference(rat,[],[s14,s591,s556,s592]) ).

cnf(s606,plain,
    ( spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s222,s4,s487,s568,s569,s76,s77,s127,s6,s24,s280,s457,s17,s602,s337,s574,s91,s92,s136,s18,s19,s601,s605,s506,s71,s120,s121,s12,s592,s604,s593,s565,s1]) ).

cnf(s607,plain,
    ~ spl0_3,
    inference(rat,[],[s164,s189,s192,s196]) ).

cnf(s608,plain,
    ( ~ spl0_50
    | ~ spl0_15
    | ~ spl0_10 ),
    inference(rat,[],[s235,s538,s101,s103]) ).

cnf(s609,plain,
    ( ~ spl0_8
    | ~ spl0_159
    | ~ spl0_10 ),
    inference(rat,[],[s164,s580,s584]) ).

cnf(s610,plain,
    ( ~ spl0_10
    | spl0_29
    | ~ spl0_25
    | ~ spl0_2 ),
    inference(rat,[],[s549,s511,s146,s147,s21,s609,s583,s32,s608,s7,s287,s449,s79,s130,s15,s506,s393,s71,s120,s121,s561,s163,s157,s556,s598,s560,s607]) ).

cnf(s611,plain,
    ( ~ spl0_30
    | spl0_42 ),
    inference(rat,[],[s491,s444,s80,s81,s132,s157,s561,s57,s598,s607]) ).

cnf(s612,plain,
    ( ~ spl0_10
    | ~ spl0_25
    | ~ spl0_2 ),
    inference(rat,[],[s285,s73,s124,s125,s50,s292,s66,s114,s157,s610,s556,s598,s572,s57,s560,s607]) ).

cnf(s613,plain,
    ( spl0_54
    | ~ spl0_8
    | ~ spl0_2 ),
    inference(rat,[],[s353,s532,s97,s98,s139]) ).

cnf(s614,plain,
    ( ~ spl0_8
    | ~ spl0_25
    | ~ spl0_2 ),
    inference(rat,[],[s437,s449,s79,s130,s131,s15,s285,s73,s124,s125,s42,s564,s4,s415,s505,s533,s96,s137,s138,s33,s583,s164,s613,s584,s611,s560,s612,s607]) ).

cnf(s615,plain,
    ( ~ spl0_25
    | spl0_1 ),
    inference(rat,[],[s506,s71,s120,s121,s37,s524,s265,s69,s116,s117,s596,s600,s17,s249,s145,s146,s147,s21,s614,s5,s612,s393,s611,s18,s572,s598,s57,s560,s606,s607]) ).

cnf(s616,plain,
    ( ~ spl0_10
    | spl0_25 ),
    inference(rat,[],[s545,s25,s96,s137,s138,s581,s45,s97,s98,s279,s587,s39,s14,s556,s607]) ).

cnf(s618,plain,
    ( spl0_28
    | ~ spl0_11
    | ~ spl0_2 ),
    inference(rat,[],[s437,s449,s79,s130,s131]) ).

cnf(s619,plain,
    ( ~ spl0_8
    | spl0_1 ),
    inference(rat,[],[s248,s426,s142,s143,s144,s15,s46,s618,s457,s10,s564,s4,s505,s415,s533,s96,s137,s138,s33,s583,s164,s613,s584,s606,s616,s615,s607]) ).

cnf(s620,plain,
    ( spl0_47
    | ~ spl0_19
    | ~ spl0_9 ),
    inference(rat,[],[s217,s248,s142,s143]) ).

cnf(s621,plain,
    ( spl0_28
    | spl0_1 ),
    inference(rat,[],[s566,s4,s13,s618,s567,s606,s616,s615,s607]) ).

cnf(s622,plain,
    ( spl0_43
    | spl0_1 ),
    inference(rat,[],[s475,s198,s58,s59,s106,s5,s4,s568,s3,s393,s561,s17,s249,s145,s146,s147,s36,s587,s49,s621,s606,s619,s616,s615,s607]) ).

cnf(s623,plain,
    spl0_1,
    inference(rat,[],[s298,s281,s82,s83,s84,s48,s622,s486,s602,s202,s5,s3,s393,s561,s17,s249,s145,s146,s147,s36,s587,s70,s118,s119,s49,s621,s619,s616,s615,s606,s607]) ).

cnf(s624,plain,
    ~ spl0_56,
    inference(rat,[],[s502,s61,s62,s109,s623]) ).

cnf(s625,plain,
    ( ~ spl0_46
    | ~ spl0_29 ),
    inference(rat,[],[s285,s73,s124,s125]) ).

cnf(s626,plain,
    ~ spl0_25,
    inference(rat,[],[s292,s66,s114,s157,s556,s4,s564,s42,s50,s625,s415,s430,s96,s137,s138,s156,s41,s572,s611,s598,s57,s560,s607,s624]) ).

cnf(s627,plain,
    ~ spl0_10,
    inference(rat,[],[s616,s626]) ).

cnf(s628,plain,
    ( ~ spl0_12
    | spl0_5 ),
    inference(rat,[],[s49,s587,s567,s2,s13,s568,s566,s607,s627,s626]) ).

cnf(s629,plain,
    ( spl0_5
    | spl0_22 ),
    inference(rat,[],[s500,s240,s70,s118,s119,s31,s620,s10,s479,s564,s4,s628,s5,s623,s607,s627]) ).

cnf(s630,plain,
    ( ~ spl0_12
    | ~ spl0_5 ),
    inference(rat,[],[s597,s49,s17,s567,s596,s13,s566,s607,s627,s626]) ).

cnf(s631,plain,
    ( ~ spl0_39
    | ~ spl0_19 ),
    inference(rat,[],[s500,s240,s70,s118,s119,s623]) ).

cnf(s632,plain,
    spl0_22,
    inference(rat,[],[s198,s475,s58,s59,s106,s48,s582,s25,s545,s96,s137,s138,s45,s631,s487,s76,s77,s127,s24,s280,s457,s10,s564,s4,s630,s629,s607,s627,s626]) ).

cnf(s633,plain,
    spl0_24,
    inference(rat,[],[s506,s71,s120,s121,s632]) ).

cnf(s634,plain,
    spl0_2,
    inference(rat,[],[s12,s607,s626,s633]) ).

cnf(s635,plain,
    spl0_5,
    inference(rat,[],[s631,s17,s49,s561,s618,s393,s4,s628,s5,s607,s627,s634]) ).

cnf(s636,plain,
    ~ spl0_12,
    inference(rat,[],[s630,s635]) ).

cnf(s637,plain,
    spl0_11,
    inference(rat,[],[s4,s627,s607,s636]) ).

cnf(s639,plain,
    spl0_28,
    inference(rat,[],[s618,s634,s637]) ).

cnf(s640,plain,
    spl0_39,
    inference(rat,[],[s49,s627,s607,s639]) ).

cnf(s642,plain,
    ~ spl0_125,
    inference(rat,[],[s118,s640]) ).

cnf(s643,plain,
    spl0_76,
    inference(rat,[],[s70,s640]) ).

cnf(s644,plain,
    ~ spl0_6,
    inference(rat,[],[s587,s640]) ).

cnf(s645,plain,
    ~ spl0_19,
    inference(rat,[],[s631,s640]) ).

cnf(s646,plain,
    ~ spl0_166,
    inference(rat,[],[s500,s642,s623,s643]) ).

cnf(s648,plain,
    ~ spl0_53,
    inference(rat,[],[s37,s633,s607,s644]) ).

cnf(s651,plain,
    ~ spl0_20,
    inference(rat,[],[s9,s636,s607,s645]) ).

cnf(s652,plain,
    ~ spl0_7,
    inference(rat,[],[s202,s642,s643,s646]) ).

cnf(s656,plain,
    ~ spl0_133,
    inference(rat,[],[s126,s648]) ).

cnf(s657,plain,
    spl0_81,
    inference(rat,[],[s75,s648]) ).

cnf(s658,plain,
    spl0_80,
    inference(rat,[],[s74,s648]) ).

cnf(s668,plain,
    ~ spl0_143,
    inference(rat,[],[s136,s651]) ).

cnf(s669,plain,
    spl0_98,
    inference(rat,[],[s92,s651]) ).

cnf(s670,plain,
    spl0_97,
    inference(rat,[],[s91,s651]) ).

cnf(s671,plain,
    ~ spl0_14,
    inference(rat,[],[s542,s656,s657,s658]) ).

cnf(s680,plain,
    ~ spl0_13,
    inference(rat,[],[s337,s668,s669,s670]) ).

cnf(s681,plain,
    $false,
    inference(rat,[],[s6,s652,s607,s671,s680]) ).

fof(f2560,plain,
    $false,
    inference(avatar_sat_refutation,[],[s681]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN468-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18  % Computer : n026.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 16:12:26 UTC 2026
% 0.09/0.18  % CPUTime  : 
% 0.09/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21  Running first-order model finding
% 0.09/0.21  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.30  % (3983413)Will run a generic schedule for satisfiability detection.
% 0.18/0.30  % (3983418)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1150537934_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.30  % Detected minimum model sizes of [1]
% 0.18/0.30  % Detected maximum model sizes of [32]
% 0.18/0.30  % TRYING [1]
% 0.18/0.30  % TRYING [2]
% 0.18/0.30  % (3983419)% WARNING: option uhcvi not known.
% 0.18/0.30  % TRYING [3]
% 0.18/0.30  % (3983420)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3014012530:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.30  % TRYING [4]
% 0.18/0.30  % (3983419)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1565060242:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.30  % (3983423)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=796413752:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.30  % (3983421)dis+10_1_sil=32000:sp=arity:random_seed=522252922:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.30  % (3983422)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4183572894:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.30  % (3983424)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3961095132:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.30  % TRYING [5]
% 0.18/0.30  % (3983424) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3983413-3983424"...
% 0.18/0.30  % (3983424)...printing done.
% 0.18/0.30  % (3983424)Refutation found. Thanks to Tanya!
% 0.18/0.30  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.30  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.31  % (3983424)------------------------------
% 0.18/0.31  % (3983424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.31  % (3983424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.31  % (3983424)CaDiCaL version: 2.1.3
% 0.18/0.31  % (3983424)Termination reason: Refutation
% 0.18/0.31  % (3983424)Time elapsed: 0.034 s
% 0.18/0.31  % (3983424)Peak memory usage: 13 MB
% 0.18/0.31  % (3983424)Instructions burned: 52 (million)
% 0.18/0.31  % (3983413)Success in time 0.078 s
% 0.18/0.31  % Vampire exiting
%------------------------------------------------------------------------------