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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN510-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n016.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 02:00:23 PM UTC 2026

% Result   : Unsatisfiable 0.66s 1.00s
% Output   : Refutation 2.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :  243
% Syntax   : Number of formulae    :  977 (  29 unt; 134 def)
%            Number of atoms       : 3197 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 4144 (1924   ~;2086   |;   0   &)
%                                         ( 134 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  165 ( 164 usr; 161 prp; 0-1 aty)
%            Number of functors    :   25 (  25 usr;  25 con; 0-0 aty)
%            Number of variables   :  145 (   0 sgn 145   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( ~ hskp31
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f18,negated_conjecture,
    ( ~ hskp14
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).

fof(f20,negated_conjecture,
    ( ~ hskp12
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).

fof(f34,negated_conjecture,
    ( hskp31
    | hskp12
    | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f40,negated_conjecture,
    ( hskp13
    | hskp24
    | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f43,negated_conjecture,
    ( hskp3
    | hskp24
    | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f47,negated_conjecture,
    ( hskp21
    | hskp22
    | hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp31
    | c0_1(a563) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp31
    | c1_1(a563) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( ~ hskp31
    | c3_1(a563) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp30
    | c1_1(a562) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp30
    | c2_1(a562) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( ~ hskp30
    | c3_1(a562) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( ~ hskp29
    | c0_1(a552) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f55,negated_conjecture,
    ( ~ hskp29
    | c2_1(a552) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( ~ hskp29
    | c3_1(a552) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f60,negated_conjecture,
    ( ~ hskp27
    | c0_1(a615) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp27
    | c2_1(a615) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp26
    | c1_1(a604) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp26
    | c2_1(a604) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f65,negated_conjecture,
    ( ~ hskp24
    | c1_1(a590) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( ~ hskp22
    | c3_1(a584) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( ~ hskp21
    | c2_1(a582) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp21
    | c3_1(a582) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp20
    | c1_1(a580) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp19
    | c0_1(a576) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f73,negated_conjecture,
    ( ~ hskp15
    | c0_1(a567) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp15
    | c1_1(a567) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp14
    | c2_1(a566) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp14
    | c3_1(a566) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp13
    | c0_1(a565) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp13
    | c3_1(a565) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp12
    | c0_1(a564) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp12
    | c3_1(a564) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp11
    | c1_1(a553) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp11
    | c3_1(a553) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ hskp10
    | c1_1(a551) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ hskp10
    | c3_1(a551) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f87,negated_conjecture,
    ( ~ hskp7
    | c2_1(a547) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ hskp6
    | c3_1(a546) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ hskp5
    | c0_1(a544) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f91,negated_conjecture,
    ( ~ hskp4
    | c3_1(a540) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ hskp3
    | c0_1(a539) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f94,negated_conjecture,
    ( ~ hskp0
    | c0_1(a536) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ hskp0
    | c2_1(a536) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ c1_1(a615)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ c3_1(a604)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f100,negated_conjecture,
    ( ~ c0_1(a590)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ c2_1(a590)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ c0_1(a587)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ c2_1(a587)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ c3_1(a587)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ c0_1(a584)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c2_1(a584)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c1_1(a582)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c0_1(a580)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ c3_1(a580)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c1_1(a576)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ c3_1(a576)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ c0_1(a573)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ c1_1(a573)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c3_1(a573)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f119,negated_conjecture,
    ( ~ c2_1(a567)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ c0_1(a566)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c2_1(a565)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c1_1(a564)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ c2_1(a553)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ c0_1(a551)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ c0_1(a549)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f127,negated_conjecture,
    ( ~ c2_1(a549)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f129,negated_conjecture,
    ( ~ c0_1(a547)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ c3_1(a547)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ( ~ c0_1(a546)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( ~ c1_1(a546)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f135,negated_conjecture,
    ( ~ c2_1(a540)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f136,negated_conjecture,
    ( ~ c2_1(a539)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ( ~ c3_1(a539)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f143,negated_conjecture,
    ( ~ c3_1(a536)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f150,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp29
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f151,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp11
      | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f152,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp12
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f154,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp13
      | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f155,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp29
      | hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f156,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp21
      | hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f157,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp3
      | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f160,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp0
      | hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f162,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp15
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

fof(f163,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp3
      | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f164,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp12
      | hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f169,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp5
      | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f171,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp27
      | hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f173,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp10
      | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f184,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f189,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

fof(f190,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).

fof(f191,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).

fof(f192,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).

fof(f193,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).

fof(f194,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).

fof(f196,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).

fof(f198,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c0_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).

fof(f200,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).

fof(f202,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause202) ).

fof(f203,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | c0_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause203) ).

fof(f204,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c2_1(X1)
      | c0_1(X2)
      | c2_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause204) ).

fof(f205,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause205) ).

fof(f206,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | c0_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause206) ).

fof(f207,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X2)
      | ~ c3_1(X2)
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause207) ).

fof(f208,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | c0_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause208) ).

fof(f210,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f211,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f213,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f214,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f216,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f219,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f220,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f221,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f208,f219,f216,f213,f210]) ).

fof(f223,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f224,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f226,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f227,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f229,definition,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f230,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f231,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f207,f229,f216,f226,f223]) ).

fof(f233,definition,
    ( spl0_8
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f234,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f236,definition,
    ( spl0_9
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f237,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f239,definition,
    ( spl0_10
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f240,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f241,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f206,f239,f216,f236,f233]) ).

fof(f243,definition,
    ( spl0_11
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f244,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f245,plain,
    ( spl0_9
    | spl0_11
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f205,f226,f216,f243,f236]) ).

fof(f247,definition,
    ( spl0_12
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f248,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f250,definition,
    ( spl0_13
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f251,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f252,plain,
    ( spl0_12
    | spl0_13
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f204,f213,f216,f250,f247]) ).

fof(f254,definition,
    ( spl0_14
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f255,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f257,definition,
    ( spl0_15
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f258,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f259,plain,
    ( spl0_14
    | spl0_15
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f203,f236,f216,f257,f254]) ).

fof(f261,definition,
    ( spl0_16
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f262,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f264,definition,
    ( spl0_17
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f265,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f266,plain,
    ( spl0_8
    | spl0_16
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f202,f264,f216,f261,f233]) ).

fof(f268,definition,
    ( spl0_18
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f269,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f272,definition,
    ( spl0_19
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f274,plain,
    ( spl0_19
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f200,f219,f216,f213,f272]) ).

fof(f276,definition,
    ( spl0_20
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f279,definition,
    ( spl0_21
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f280,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f282,definition,
    ( spl0_22
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f283,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f282]) ).

fof(f286,definition,
    ( spl0_23
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f288,plain,
    ( spl0_23
    | spl0_9
    | ~ spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f198,f282,f216,f236,f286]) ).

fof(f290,definition,
    ( spl0_24
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f291,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f294,definition,
    ( spl0_25
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f296,plain,
    ( spl0_25
    | spl0_24
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f196,f213,f216,f290,f294]) ).

fof(f298,definition,
    ( spl0_26
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f301,definition,
    ( spl0_27
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f302,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f305,definition,
    ( spl0_28
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f307,plain,
    ( spl0_28
    | spl0_21
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f194,f250,f216,f279,f305]) ).

fof(f309,definition,
    ( spl0_29
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f312,definition,
    ( spl0_30
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f313,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f314,plain,
    ( spl0_29
    | spl0_21
    | ~ spl0_3
    | spl0_30 ),
    inference(avatar_split_clause,[],[f193,f312,f216,f279,f309]) ).

fof(f316,definition,
    ( spl0_31
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f318,plain,
    ( spl0_31
    | spl0_17
    | ~ spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f192,f282,f216,f264,f316]) ).

fof(f320,definition,
    ( spl0_32
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f322,plain,
    ( spl0_32
    | spl0_9
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f191,f279,f216,f236,f320]) ).

fof(f324,definition,
    ( spl0_33
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f327,definition,
    ( spl0_34
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f328,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f329,plain,
    ( spl0_33
    | spl0_34
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f190,f250,f216,f327,f324]) ).

fof(f331,definition,
    ( spl0_35
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f334,definition,
    ( spl0_36
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f335,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f336,plain,
    ( spl0_35
    | spl0_36
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f189,f219,f216,f334,f331]) ).

fof(f338,definition,
    ( spl0_37
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f346,definition,
    ( spl0_39
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f347,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f350,definition,
    ( spl0_40
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f354,definition,
    ( spl0_41
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f357,definition,
    ( spl0_42
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f358,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f360,definition,
    ( spl0_43
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f361,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f362,plain,
    ( spl0_41
    | spl0_42
    | ~ spl0_3
    | spl0_43 ),
    inference(avatar_split_clause,[],[f184,f360,f216,f357,f354]) ).

fof(f381,definition,
    ( spl0_48
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f391,definition,
    ( spl0_50
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f395,definition,
    ( spl0_51
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f397,plain,
    ( spl0_19
    | spl0_51
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f173,f219,f216,f395,f272]) ).

fof(f399,definition,
    ( spl0_52
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f403,definition,
    ( spl0_53
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f405,plain,
    ( spl0_52
    | spl0_53
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f171,f213,f216,f403,f399]) ).

fof(f408,definition,
    ( spl0_54
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f410,plain,
    ( spl0_48
    | spl0_54
    | ~ spl0_3
    | spl0_43 ),
    inference(avatar_split_clause,[],[f169,f360,f216,f408,f381]) ).

fof(f412,definition,
    ( spl0_55
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f419,definition,
    ( spl0_57
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f424,definition,
    ( spl0_58
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f427,plain,
    ( spl0_57
    | spl0_23
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f164,f229,f216,f286,f419]) ).

fof(f428,plain,
    ( spl0_33
    | spl0_26
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f163,f301,f216,f298,f324]) ).

fof(f430,definition,
    ( spl0_59
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f432,plain,
    ( spl0_35
    | spl0_59
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f162,f226,f216,f430,f331]) ).

fof(f434,plain,
    ( spl0_58
    | spl0_35
    | ~ spl0_3
    | spl0_34 ),
    inference(avatar_split_clause,[],[f160,f327,f216,f331,f424]) ).

fof(f440,plain,
    ( spl0_33
    | spl0_26
    | ~ spl0_3
    | spl0_24 ),
    inference(avatar_split_clause,[],[f157,f290,f216,f298,f324]) ).

fof(f441,plain,
    ( spl0_40
    | spl0_57
    | ~ spl0_3
    | spl0_39 ),
    inference(avatar_split_clause,[],[f156,f346,f216,f419,f350]) ).

fof(f443,definition,
    ( spl0_61
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f445,plain,
    ( spl0_57
    | spl0_61
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f155,f243,f216,f443,f419]) ).

fof(f446,plain,
    ( spl0_50
    | spl0_31
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f154,f264,f216,f316,f391]) ).

fof(f448,plain,
    ( spl0_37
    | spl0_23
    | ~ spl0_3
    | spl0_42 ),
    inference(avatar_split_clause,[],[f152,f357,f216,f286,f338]) ).

fof(f449,plain,
    ( spl0_55
    | spl0_37
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f151,f210,f216,f338,f412]) ).

fof(f450,plain,
    ( spl0_37
    | spl0_61
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f150,f261,f216,f443,f338]) ).

fof(f471,definition,
    ( spl0_66
  <=> c3_1(a536) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f473,plain,
    ( ~ spl0_35
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f143,f471,f331]) ).

fof(f498,definition,
    ( spl0_72
  <=> c3_1(a539) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f499,plain,
    ( ~ c3_1(a539)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f500,plain,
    ( ~ spl0_26
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f137,f498,f298]) ).

fof(f502,definition,
    ( spl0_73
  <=> c2_1(a539) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f503,plain,
    ( ~ c2_1(a539)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f504,plain,
    ( ~ spl0_26
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f136,f502,f298]) ).

fof(f507,definition,
    ( spl0_74
  <=> c2_1(a540) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f508,plain,
    ( ~ c2_1(a540)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f509,plain,
    ( ~ spl0_48
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f135,f507,f381]) ).

fof(f521,definition,
    ( spl0_77
  <=> c1_1(a546) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f522,plain,
    ( ~ c1_1(a546)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f523,plain,
    ( ~ spl0_33
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f132,f521,f324]) ).

fof(f525,definition,
    ( spl0_78
  <=> c0_1(a546) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f526,plain,
    ( ~ c0_1(a546)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f527,plain,
    ( ~ spl0_33
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f131,f525,f324]) ).

fof(f530,definition,
    ( spl0_79
  <=> c3_1(a547) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f531,plain,
    ( ~ c3_1(a547)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f532,plain,
    ( ~ spl0_28
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f130,f530,f305]) ).

fof(f534,definition,
    ( spl0_80
  <=> c0_1(a547) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f535,plain,
    ( ~ c0_1(a547)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f536,plain,
    ( ~ spl0_28
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f129,f534,f305]) ).

fof(f544,definition,
    ( spl0_82
  <=> c2_1(a549) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f545,plain,
    ( ~ c2_1(a549)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f546,plain,
    ( ~ spl0_55
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f127,f544,f412]) ).

fof(f552,definition,
    ( spl0_84
  <=> c0_1(a549) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f553,plain,
    ( ~ c0_1(a549)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f554,plain,
    ( ~ spl0_55
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f125,f552,f412]) ).

fof(f557,definition,
    ( spl0_85
  <=> c0_1(a551) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f558,plain,
    ( ~ c0_1(a551)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f559,plain,
    ( ~ spl0_51
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f124,f557,f395]) ).

fof(f562,definition,
    ( spl0_86
  <=> c2_1(a553) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f563,plain,
    ( ~ c2_1(a553)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f564,plain,
    ( ~ spl0_37
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f123,f562,f338]) ).

fof(f567,definition,
    ( spl0_87
  <=> c1_1(a564) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f568,plain,
    ( ~ c1_1(a564)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f569,plain,
    ( ~ spl0_23
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f122,f567,f286]) ).

fof(f572,definition,
    ( spl0_88
  <=> c2_1(a565) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f573,plain,
    ( ~ c2_1(a565)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f574,plain,
    ( ~ spl0_31
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f121,f572,f316]) ).

fof(f577,definition,
    ( spl0_89
  <=> c0_1(a566) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f578,plain,
    ( ~ c0_1(a566)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f579,plain,
    ( ~ spl0_19
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f120,f577,f272]) ).

fof(f582,definition,
    ( spl0_90
  <=> c2_1(a567) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f583,plain,
    ( ~ c2_1(a567)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f584,plain,
    ( ~ spl0_59
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f119,f582,f430]) ).

fof(f605,definition,
    ( spl0_95
  <=> c3_1(a573) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f606,plain,
    ( ~ c3_1(a573)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f607,plain,
    ( ~ spl0_41
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f114,f605,f354]) ).

fof(f609,definition,
    ( spl0_96
  <=> c1_1(a573) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f611,plain,
    ( ~ spl0_41
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f113,f609,f354]) ).

fof(f613,definition,
    ( spl0_97
  <=> c0_1(a573) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f614,plain,
    ( ~ c0_1(a573)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f615,plain,
    ( ~ spl0_41
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f112,f613,f354]) ).

fof(f618,definition,
    ( spl0_98
  <=> c3_1(a576) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f619,plain,
    ( ~ c3_1(a576)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f620,plain,
    ( ~ spl0_29
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f111,f618,f309]) ).

fof(f622,definition,
    ( spl0_99
  <=> c1_1(a576) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f624,plain,
    ( ~ spl0_29
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f110,f622,f309]) ).

fof(f627,definition,
    ( spl0_100
  <=> c3_1(a580) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f628,plain,
    ( ~ c3_1(a580)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f629,plain,
    ( ~ spl0_50
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f109,f627,f391]) ).

fof(f631,definition,
    ( spl0_101
  <=> c0_1(a580) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f633,plain,
    ( ~ spl0_50
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f108,f631,f391]) ).

fof(f636,definition,
    ( spl0_102
  <=> c1_1(a582) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f637,plain,
    ( ~ c1_1(a582)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f638,plain,
    ( ~ spl0_57
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f107,f636,f419]) ).

fof(f641,definition,
    ( spl0_103
  <=> c2_1(a584) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f642,plain,
    ( ~ c2_1(a584)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f643,plain,
    ( ~ spl0_40
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f106,f641,f350]) ).

fof(f645,definition,
    ( spl0_104
  <=> c0_1(a584) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f646,plain,
    ( ~ c0_1(a584)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f647,plain,
    ( ~ spl0_40
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f105,f645,f350]) ).

fof(f650,definition,
    ( spl0_105
  <=> c3_1(a587) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f651,plain,
    ( ~ c3_1(a587)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f652,plain,
    ( ~ spl0_20
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f104,f650,f276]) ).

fof(f654,definition,
    ( spl0_106
  <=> c2_1(a587) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f655,plain,
    ( ~ c2_1(a587)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f654]) ).

fof(f656,plain,
    ( ~ spl0_20
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f103,f654,f276]) ).

fof(f658,definition,
    ( spl0_107
  <=> c0_1(a587) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f660,plain,
    ( ~ spl0_20
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f102,f658,f276]) ).

fof(f663,definition,
    ( spl0_108
  <=> c2_1(a590) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f664,plain,
    ( ~ c2_1(a590)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f665,plain,
    ( ~ spl0_25
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f101,f663,f294]) ).

fof(f667,definition,
    ( spl0_109
  <=> c0_1(a590) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f668,plain,
    ( ~ c0_1(a590)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f669,plain,
    ( ~ spl0_25
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f100,f667,f294]) ).

fof(f681,definition,
    ( spl0_112
  <=> c3_1(a604) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f682,plain,
    ( ~ c3_1(a604)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f683,plain,
    ( ~ spl0_52
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f97,f681,f399]) ).

fof(f686,definition,
    ( spl0_113
  <=> c1_1(a615) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f688,plain,
    ( ~ spl0_53
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f96,f686,f403]) ).

fof(f690,definition,
    ( spl0_114
  <=> c2_1(a536) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f691,plain,
    ( c2_1(a536)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f690]) ).

fof(f692,plain,
    ( spl0_114
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f95,f331,f690]) ).

fof(f694,definition,
    ( spl0_115
  <=> c0_1(a536) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f696,plain,
    ( spl0_115
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f94,f331,f694]) ).

fof(f702,definition,
    ( spl0_117
  <=> c0_1(a539) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f703,plain,
    ( c0_1(a539)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f704,plain,
    ( spl0_117
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f92,f298,f702]) ).

fof(f706,definition,
    ( spl0_118
  <=> c3_1(a540) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f707,plain,
    ( c3_1(a540)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f708,plain,
    ( spl0_118
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f91,f381,f706]) ).

fof(f714,definition,
    ( spl0_120
  <=> c0_1(a544) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f715,plain,
    ( c0_1(a544)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f716,plain,
    ( spl0_120
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f89,f408,f714]) ).

fof(f718,definition,
    ( spl0_121
  <=> c3_1(a546) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f719,plain,
    ( c3_1(a546)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f718]) ).

fof(f720,plain,
    ( spl0_121
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f88,f324,f718]) ).

fof(f722,definition,
    ( spl0_122
  <=> c2_1(a547) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f723,plain,
    ( c2_1(a547)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f724,plain,
    ( spl0_122
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f87,f305,f722]) ).

fof(f734,definition,
    ( spl0_125
  <=> c3_1(a551) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f735,plain,
    ( c3_1(a551)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f734]) ).

fof(f736,plain,
    ( spl0_125
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f84,f395,f734]) ).

fof(f738,definition,
    ( spl0_126
  <=> c1_1(a551) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f739,plain,
    ( c1_1(a551)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f740,plain,
    ( spl0_126
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f83,f395,f738]) ).

fof(f742,definition,
    ( spl0_127
  <=> c3_1(a553) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f743,plain,
    ( c3_1(a553)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f744,plain,
    ( spl0_127
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f82,f338,f742]) ).

fof(f746,definition,
    ( spl0_128
  <=> c1_1(a553) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f747,plain,
    ( c1_1(a553)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f748,plain,
    ( spl0_128
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f81,f338,f746]) ).

fof(f750,definition,
    ( spl0_129
  <=> c3_1(a564) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f751,plain,
    ( c3_1(a564)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f752,plain,
    ( spl0_129
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f80,f286,f750]) ).

fof(f754,definition,
    ( spl0_130
  <=> c0_1(a564) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f755,plain,
    ( c0_1(a564)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f756,plain,
    ( spl0_130
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f79,f286,f754]) ).

fof(f758,definition,
    ( spl0_131
  <=> c3_1(a565) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f759,plain,
    ( c3_1(a565)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f760,plain,
    ( spl0_131
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f78,f316,f758]) ).

fof(f762,definition,
    ( spl0_132
  <=> c0_1(a565) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f763,plain,
    ( c0_1(a565)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f764,plain,
    ( spl0_132
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f77,f316,f762]) ).

fof(f766,definition,
    ( spl0_133
  <=> c3_1(a566) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f767,plain,
    ( c3_1(a566)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f766]) ).

fof(f768,plain,
    ( spl0_133
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f76,f272,f766]) ).

fof(f770,definition,
    ( spl0_134
  <=> c2_1(a566) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f771,plain,
    ( c2_1(a566)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f772,plain,
    ( spl0_134
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f75,f272,f770]) ).

fof(f774,definition,
    ( spl0_135
  <=> c1_1(a567) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f775,plain,
    ( c1_1(a567)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f776,plain,
    ( spl0_135
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f74,f430,f774]) ).

fof(f778,definition,
    ( spl0_136
  <=> c0_1(a567) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f779,plain,
    ( c0_1(a567)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f780,plain,
    ( spl0_136
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f73,f430,f778]) ).

fof(f790,definition,
    ( spl0_139
  <=> c0_1(a576) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f791,plain,
    ( c0_1(a576)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f792,plain,
    ( spl0_139
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f70,f309,f790]) ).

fof(f794,definition,
    ( spl0_140
  <=> c1_1(a580) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f795,plain,
    ( c1_1(a580)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f794]) ).

fof(f796,plain,
    ( spl0_140
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f69,f391,f794]) ).

fof(f798,definition,
    ( spl0_141
  <=> c3_1(a582) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f799,plain,
    ( c3_1(a582)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f798]) ).

fof(f800,plain,
    ( spl0_141
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f68,f419,f798]) ).

fof(f802,definition,
    ( spl0_142
  <=> c2_1(a582) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f803,plain,
    ( c2_1(a582)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f802]) ).

fof(f804,plain,
    ( spl0_142
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f67,f419,f802]) ).

fof(f806,definition,
    ( spl0_143
  <=> c3_1(a584) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f807,plain,
    ( c3_1(a584)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f808,plain,
    ( spl0_143
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f66,f350,f806]) ).

fof(f810,definition,
    ( spl0_144
  <=> c1_1(a590) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f811,plain,
    ( c1_1(a590)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f812,plain,
    ( spl0_144
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f65,f294,f810]) ).

fof(f818,definition,
    ( spl0_146
  <=> c2_1(a604) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f819,plain,
    ( c2_1(a604)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f820,plain,
    ( spl0_146
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f63,f399,f818]) ).

fof(f822,definition,
    ( spl0_147
  <=> c1_1(a604) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f823,plain,
    ( c1_1(a604)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f824,plain,
    ( spl0_147
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f62,f399,f822]) ).

fof(f826,definition,
    ( spl0_148
  <=> c2_1(a615) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f827,plain,
    ( c2_1(a615)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f828,plain,
    ( spl0_148
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f61,f403,f826]) ).

fof(f830,definition,
    ( spl0_149
  <=> c0_1(a615) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f832,plain,
    ( spl0_149
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f60,f403,f830]) ).

fof(f847,definition,
    ( spl0_153
  <=> c3_1(a552) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f848,plain,
    ( c3_1(a552)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f850,plain,
    ( spl0_153
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f56,f443,f847]) ).

fof(f852,definition,
    ( spl0_154
  <=> c2_1(a552) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f853,plain,
    ( c2_1(a552)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f854,plain,
    ( spl0_154
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f55,f443,f852]) ).

fof(f856,definition,
    ( spl0_155
  <=> c0_1(a552) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f857,plain,
    ( c0_1(a552)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f858,plain,
    ( spl0_155
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f54,f443,f856]) ).

fof(f860,definition,
    ( spl0_156
  <=> c3_1(a562) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f861,plain,
    ( c3_1(a562)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f863,plain,
    ( spl0_156
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f53,f424,f860]) ).

fof(f865,definition,
    ( spl0_157
  <=> c2_1(a562) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f866,plain,
    ( c2_1(a562)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f865]) ).

fof(f867,plain,
    ( spl0_157
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f52,f424,f865]) ).

fof(f869,definition,
    ( spl0_158
  <=> c1_1(a562) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f870,plain,
    ( c1_1(a562)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f871,plain,
    ( spl0_158
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f51,f424,f869]) ).

fof(f873,definition,
    ( spl0_159
  <=> c3_1(a563) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f874,plain,
    ( c3_1(a563)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f873]) ).

fof(f876,plain,
    ( spl0_159
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f50,f320,f873]) ).

fof(f878,definition,
    ( spl0_160
  <=> c1_1(a563) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f879,plain,
    ( c1_1(a563)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f878]) ).

fof(f880,plain,
    ( spl0_160
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f49,f320,f878]) ).

fof(f882,definition,
    ( spl0_161
  <=> c0_1(a563) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f883,plain,
    ( c0_1(a563)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f884,plain,
    ( spl0_161
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f48,f320,f882]) ).

fof(f885,plain,
    ( spl0_20
    | spl0_40
    | spl0_57 ),
    inference(avatar_split_clause,[],[f47,f419,f350,f276]) ).

fof(f889,plain,
    ( spl0_41
    | spl0_25
    | spl0_26 ),
    inference(avatar_split_clause,[],[f43,f298,f294,f354]) ).

fof(f892,plain,
    ( spl0_33
    | spl0_25
    | spl0_31 ),
    inference(avatar_split_clause,[],[f40,f316,f294,f324]) ).

fof(f898,plain,
    ( spl0_19
    | spl0_23
    | spl0_32 ),
    inference(avatar_split_clause,[],[f34,f320,f286,f272]) ).

fof(f913,plain,
    ( spl0_3
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f20,f286,f216]) ).

fof(f915,plain,
    ( spl0_3
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f18,f272,f216]) ).

fof(f932,plain,
    ( spl0_3
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f1,f320,f216]) ).

fof(f938,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f224,f214]) ).

fof(f941,plain,
    ( ~ c0_1(a565)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_131 ),
    inference(resolution,[],[f938,f759]) ).

fof(f946,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f227,f220]) ).

fof(f948,plain,
    ( ~ c0_1(a564)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_129 ),
    inference(resolution,[],[f946,f751]) ).

fof(f952,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f948,f755]) ).

fof(f953,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f952]) ).

fof(f955,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[],[f230,f220]) ).

fof(f957,plain,
    ( ~ c0_1(a536)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_114 ),
    inference(resolution,[],[f955,f691]) ).

fof(f966,plain,
    ( ~ c1_1(a604)
    | c0_1(a604)
    | ~ spl0_1
    | spl0_112 ),
    inference(resolution,[],[f211,f682]) ).

fof(f967,plain,
    ( ~ c1_1(a580)
    | c0_1(a580)
    | ~ spl0_1
    | spl0_100 ),
    inference(resolution,[],[f211,f628]) ).

fof(f968,plain,
    ( ~ c1_1(a547)
    | c0_1(a547)
    | ~ spl0_1
    | spl0_79 ),
    inference(resolution,[],[f211,f531]) ).

fof(f975,plain,
    ( ~ c1_1(a547)
    | ~ spl0_1
    | spl0_79
    | spl0_80 ),
    inference(forward_subsumption_resolution,[],[f968,f535]) ).

fof(f976,plain,
    ( c0_1(a580)
    | ~ spl0_1
    | spl0_100
    | ~ spl0_140 ),
    inference(forward_subsumption_resolution,[],[f967,f795]) ).

fof(f977,plain,
    ( c0_1(a604)
    | ~ spl0_1
    | spl0_112
    | ~ spl0_147 ),
    inference(forward_subsumption_resolution,[],[f966,f823]) ).

fof(f985,plain,
    ( c1_1(a564)
    | ~ c0_1(a564)
    | ~ spl0_5
    | ~ spl0_129 ),
    inference(resolution,[],[f224,f751]) ).

fof(f989,plain,
    ( ~ c0_1(a564)
    | ~ spl0_5
    | spl0_87
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f985,f568]) ).

fof(f991,plain,
    ( $false
    | ~ spl0_5
    | spl0_87
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f989,f755]) ).

fof(f992,plain,
    ( ~ spl0_5
    | spl0_87
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f991]) ).

fof(f994,plain,
    ( c1_1(a582)
    | ~ c0_1(a582)
    | ~ spl0_5
    | ~ spl0_141 ),
    inference(resolution,[],[f799,f224]) ).

fof(f995,plain,
    ( ~ c0_1(a582)
    | ~ spl0_5
    | spl0_102
    | ~ spl0_141 ),
    inference(forward_subsumption_resolution,[],[f994,f637]) ).

fof(f1006,plain,
    ( c3_1(a547)
    | c1_1(a547)
    | ~ spl0_11
    | ~ spl0_122 ),
    inference(resolution,[],[f244,f723]) ).

fof(f1010,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f251,f234]) ).

fof(f1017,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f258,f224]) ).

fof(f1020,plain,
    ( c1_1(a582)
    | ~ spl0_5
    | ~ spl0_15
    | ~ spl0_141 ),
    inference(resolution,[],[f1017,f799]) ).

fof(f1021,plain,
    ( c1_1(a566)
    | ~ spl0_5
    | ~ spl0_15
    | ~ spl0_133 ),
    inference(resolution,[],[f1017,f767]) ).

fof(f1028,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_15
    | spl0_102
    | ~ spl0_141 ),
    inference(forward_subsumption_resolution,[],[f1020,f637]) ).

fof(f1029,plain,
    ( ~ spl0_5
    | ~ spl0_15
    | spl0_102
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f1028]) ).

fof(f1031,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(resolution,[],[f237,f234]) ).

fof(f1034,plain,
    ( c0_1(a566)
    | ~ c3_1(a566)
    | ~ spl0_9
    | ~ spl0_134 ),
    inference(resolution,[],[f237,f771]) ).

fof(f1037,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(duplicate_literal_removal,[],[f1031]) ).

fof(f1047,plain,
    ( c1_1(a582)
    | c0_1(a582)
    | ~ spl0_14
    | ~ spl0_142 ),
    inference(resolution,[],[f255,f803]) ).

fof(f1059,definition,
    ( spl0_162
  <=> c0_1(a562) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1067,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(resolution,[],[f248,f244]) ).

fof(f1070,plain,
    ( c3_1(a587)
    | c0_1(a587)
    | ~ spl0_12
    | spl0_106 ),
    inference(resolution,[],[f248,f655]) ).

fof(f1073,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(duplicate_literal_removal,[],[f1067]) ).

fof(f1077,plain,
    ( c0_1(a587)
    | ~ spl0_12
    | spl0_105
    | spl0_106 ),
    inference(forward_subsumption_resolution,[],[f1070,f651]) ).

fof(f1089,plain,
    ( spl0_107
    | ~ spl0_12
    | spl0_105
    | spl0_106 ),
    inference(avatar_split_clause,[],[f1077,f654,f650,f247,f658]) ).

fof(f1114,plain,
    ( ~ c1_1(a553)
    | c0_1(a553)
    | ~ spl0_8
    | spl0_86 ),
    inference(resolution,[],[f563,f234]) ).

fof(f1116,definition,
    ( spl0_165
  <=> c0_1(a553) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1128,definition,
    ( spl0_166
  <=> c1_1(a552) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1129,plain,
    ( c1_1(a552)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1128]) ).

fof(f1153,definition,
    ( spl0_167
  <=> c1_1(a539) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1154,plain,
    ( ~ c1_1(a539)
    | spl0_167 ),
    inference(avatar_component_clause,[],[f1153]) ).

fof(f1166,plain,
    ( c3_1(a590)
    | c0_1(a590)
    | ~ spl0_12
    | spl0_108 ),
    inference(resolution,[],[f664,f248]) ).

fof(f1167,plain,
    ( ~ c1_1(a590)
    | ~ spl0_8
    | ~ spl0_13
    | spl0_108 ),
    inference(resolution,[],[f664,f1010]) ).

fof(f1168,plain,
    ( ~ c1_1(a590)
    | c0_1(a590)
    | ~ spl0_8
    | spl0_108 ),
    inference(resolution,[],[f664,f234]) ).

fof(f1172,plain,
    ( ~ spl0_144
    | ~ spl0_8
    | ~ spl0_13
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1167,f663,f250,f233,f810]) ).

fof(f1174,definition,
    ( spl0_168
  <=> c3_1(a590) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1175,plain,
    ( c3_1(a590)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1174]) ).

fof(f1189,definition,
    ( spl0_169
  <=> c1_1(a584) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1190,plain,
    ( ~ c1_1(a584)
    | spl0_169 ),
    inference(avatar_component_clause,[],[f1189]) ).

fof(f1212,plain,
    ( ~ c0_1(a565)
    | ~ c3_1(a565)
    | ~ spl0_6
    | spl0_88 ),
    inference(resolution,[],[f227,f573]) ).

fof(f1219,plain,
    ( ~ c3_1(a565)
    | ~ spl0_6
    | spl0_88
    | ~ spl0_132 ),
    inference(forward_subsumption_resolution,[],[f1212,f763]) ).

fof(f1220,plain,
    ( $false
    | ~ spl0_6
    | spl0_88
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(forward_subsumption_resolution,[],[f1219,f759]) ).

fof(f1221,plain,
    ( ~ spl0_6
    | spl0_88
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f1220]) ).

fof(f1223,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_12
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f335,f248]) ).

fof(f1231,plain,
    ( ~ c1_1(a567)
    | ~ spl0_8
    | ~ spl0_13
    | spl0_90 ),
    inference(resolution,[],[f583,f1010]) ).

fof(f1235,plain,
    ( ~ spl0_135
    | ~ spl0_8
    | ~ spl0_13
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1231,f582,f250,f233,f774]) ).

fof(f1243,plain,
    ( c0_1(a547)
    | ~ spl0_12
    | ~ spl0_36
    | spl0_79 ),
    inference(resolution,[],[f1223,f531]) ).

fof(f1252,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_36
    | spl0_79
    | spl0_80 ),
    inference(forward_subsumption_resolution,[],[f1243,f535]) ).

fof(f1253,plain,
    ( ~ spl0_12
    | ~ spl0_36
    | spl0_79
    | spl0_80 ),
    inference(avatar_contradiction_clause,[],[f1252]) ).

fof(f1268,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f230,f1223]) ).

fof(f1276,plain,
    ( c3_1(a604)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_36
    | ~ spl0_146 ),
    inference(resolution,[],[f1268,f819]) ).

fof(f1283,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_36
    | spl0_112
    | ~ spl0_146 ),
    inference(forward_subsumption_resolution,[],[f1276,f682]) ).

fof(f1284,plain,
    ( ~ spl0_7
    | ~ spl0_12
    | ~ spl0_36
    | spl0_112
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f1283]) ).

fof(f1315,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_14
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f280,f255]) ).

fof(f1388,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[],[f283,f1010]) ).

fof(f1389,plain,
    ( ~ c0_1(a563)
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_22
    | ~ spl0_160 ),
    inference(resolution,[],[f1388,f879]) ).

fof(f1406,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_22
    | ~ spl0_160
    | ~ spl0_161 ),
    inference(forward_subsumption_resolution,[],[f1389,f883]) ).

fof(f1407,plain,
    ( ~ spl0_8
    | ~ spl0_13
    | ~ spl0_22
    | ~ spl0_160
    | ~ spl0_161 ),
    inference(avatar_contradiction_clause,[],[f1406]) ).

fof(f1411,definition,
    ( spl0_173
  <=> c0_1(a604) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1422,plain,
    ( spl0_173
    | ~ spl0_1
    | spl0_112
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f977,f822,f681,f210,f1411]) ).

fof(f1424,definition,
    ( spl0_174
  <=> c0_1(a582) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1430,definition,
    ( spl0_175
  <=> c1_1(a566) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1431,plain,
    ( c1_1(a566)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1430]) ).

fof(f1442,plain,
    ( ~ spl0_133
    | spl0_89
    | ~ spl0_9
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1034,f770,f236,f577,f766]) ).

fof(f1454,plain,
    ( ~ c0_1(a563)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_159 ),
    inference(resolution,[],[f946,f874]) ).

fof(f1459,plain,
    ( ~ c0_1(a553)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_127 ),
    inference(resolution,[],[f946,f743]) ).

fof(f1464,plain,
    ( ~ spl0_165
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1459,f742,f226,f219,f1116]) ).

fof(f1518,plain,
    ( c1_1(a566)
    | c0_1(a566)
    | ~ spl0_14
    | ~ spl0_134 ),
    inference(resolution,[],[f771,f255]) ).

fof(f1521,plain,
    ( ~ c0_1(a563)
    | ~ c1_1(a563)
    | ~ spl0_2
    | ~ spl0_159 ),
    inference(resolution,[],[f214,f874]) ).

fof(f1523,plain,
    ( ~ c0_1(a552)
    | ~ c1_1(a552)
    | ~ spl0_2
    | ~ spl0_153 ),
    inference(resolution,[],[f214,f848]) ).

fof(f1528,plain,
    ( ~ c0_1(a553)
    | ~ c1_1(a553)
    | ~ spl0_2
    | ~ spl0_127 ),
    inference(resolution,[],[f214,f743]) ).

fof(f1533,plain,
    ( ~ c0_1(a553)
    | ~ spl0_2
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f1528,f747]) ).

fof(f1534,plain,
    ( ~ c1_1(a552)
    | ~ spl0_2
    | ~ spl0_153
    | ~ spl0_155 ),
    inference(forward_subsumption_resolution,[],[f1523,f857]) ).

fof(f1537,plain,
    ( ~ spl0_165
    | ~ spl0_2
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1533,f746,f742,f213,f1116]) ).

fof(f1538,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_153
    | ~ spl0_155
    | ~ spl0_166 ),
    inference(forward_subsumption_resolution,[],[f1534,f1129]) ).

fof(f1539,plain,
    ( ~ spl0_2
    | ~ spl0_153
    | ~ spl0_155
    | ~ spl0_166 ),
    inference(avatar_contradiction_clause,[],[f1538]) ).

fof(f1548,plain,
    ( c1_1(a584)
    | c0_1(a584)
    | ~ spl0_15
    | ~ spl0_143 ),
    inference(resolution,[],[f258,f807]) ).

fof(f1549,plain,
    ( c1_1(a582)
    | c0_1(a582)
    | ~ spl0_15
    | ~ spl0_141 ),
    inference(resolution,[],[f258,f799]) ).

fof(f1550,plain,
    ( c1_1(a566)
    | c0_1(a566)
    | ~ spl0_15
    | ~ spl0_133 ),
    inference(resolution,[],[f258,f767]) ).

fof(f1554,plain,
    ( c1_1(a546)
    | c0_1(a546)
    | ~ spl0_15
    | ~ spl0_121 ),
    inference(resolution,[],[f258,f719]) ).

fof(f1558,plain,
    ( c0_1(a546)
    | ~ spl0_15
    | spl0_77
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f1554,f522]) ).

fof(f1560,plain,
    ( c0_1(a582)
    | ~ spl0_15
    | spl0_102
    | ~ spl0_141 ),
    inference(forward_subsumption_resolution,[],[f1549,f637]) ).

fof(f1563,plain,
    ( $false
    | ~ spl0_15
    | spl0_77
    | spl0_78
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f1558,f526]) ).

fof(f1564,plain,
    ( ~ spl0_15
    | spl0_77
    | spl0_78
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f1563]) ).

fof(f1566,plain,
    ( spl0_174
    | ~ spl0_15
    | spl0_102
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1560,f798,f636,f257,f1424]) ).

fof(f1570,plain,
    ( ~ c0_1(a576)
    | c1_1(a576)
    | ~ spl0_17
    | spl0_98 ),
    inference(resolution,[],[f265,f619]) ).

fof(f1584,plain,
    ( c1_1(a576)
    | ~ spl0_17
    | spl0_98
    | ~ spl0_139 ),
    inference(forward_subsumption_resolution,[],[f1570,f791]) ).

fof(f1617,plain,
    ( spl0_34
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f1037,f236,f233,f327]) ).

fof(f1619,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[],[f361,f1010]) ).

fof(f1620,plain,
    ( spl0_89
    | spl0_175
    | ~ spl0_14
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1518,f770,f254,f1430,f577]) ).

fof(f1629,plain,
    ( ~ c1_1(a604)
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_43
    | spl0_112 ),
    inference(resolution,[],[f1619,f682]) ).

fof(f1642,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_43
    | spl0_112
    | ~ spl0_147 ),
    inference(forward_subsumption_resolution,[],[f1629,f823]) ).

fof(f1643,plain,
    ( ~ spl0_8
    | ~ spl0_13
    | ~ spl0_43
    | spl0_112
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f1642]) ).

fof(f1651,plain,
    ( c3_1(a604)
    | ~ c0_1(a604)
    | ~ spl0_7
    | ~ spl0_146 ),
    inference(resolution,[],[f230,f819]) ).

fof(f1655,plain,
    ( c3_1(a536)
    | ~ c0_1(a536)
    | ~ spl0_7
    | ~ spl0_114 ),
    inference(resolution,[],[f230,f691]) ).

fof(f1659,plain,
    ( ~ c0_1(a604)
    | ~ spl0_7
    | spl0_112
    | ~ spl0_146 ),
    inference(forward_subsumption_resolution,[],[f1651,f682]) ).

fof(f1666,plain,
    ( c0_1(a562)
    | ~ c3_1(a562)
    | ~ spl0_9
    | ~ spl0_157 ),
    inference(resolution,[],[f237,f866]) ).

fof(f1671,plain,
    ( c0_1(a582)
    | ~ c3_1(a582)
    | ~ spl0_9
    | ~ spl0_142 ),
    inference(resolution,[],[f237,f803]) ).

fof(f1684,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_6
    | ~ spl0_30 ),
    inference(resolution,[],[f313,f227]) ).

fof(f1695,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_6
    | ~ spl0_30 ),
    inference(duplicate_literal_removal,[],[f1684]) ).

fof(f1788,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(resolution,[],[f240,f227]) ).

fof(f1799,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(duplicate_literal_removal,[],[f1788]) ).

fof(f1818,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_6
    | ~ spl0_21 ),
    inference(resolution,[],[f280,f227]) ).

fof(f1820,plain,
    ( c1_1(a552)
    | ~ c0_1(a552)
    | ~ spl0_21
    | ~ spl0_154 ),
    inference(resolution,[],[f280,f853]) ).

fof(f1822,plain,
    ( c1_1(a615)
    | ~ c0_1(a615)
    | ~ spl0_21
    | ~ spl0_148 ),
    inference(resolution,[],[f280,f827]) ).

fof(f1828,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_6
    | ~ spl0_21 ),
    inference(duplicate_literal_removal,[],[f1818]) ).

fof(f1833,plain,
    ( c1_1(a552)
    | ~ spl0_21
    | ~ spl0_154
    | ~ spl0_155 ),
    inference(forward_subsumption_resolution,[],[f1820,f857]) ).

fof(f1838,plain,
    ( spl0_166
    | ~ spl0_21
    | ~ spl0_154
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1833,f856,f852,f279,f1128]) ).

fof(f1839,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_6
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f262,f227]) ).

fof(f1850,plain,
    ( ~ c3_1(a540)
    | ~ spl0_6
    | ~ spl0_16
    | spl0_74 ),
    inference(resolution,[],[f1839,f508]) ).

fof(f1858,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_16
    | spl0_74
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f1850,f707]) ).

fof(f1859,plain,
    ( ~ spl0_6
    | ~ spl0_16
    | spl0_74
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f1858]) ).

fof(f1873,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f262,f237]) ).

fof(f1883,plain,
    ( ~ spl0_115
    | spl0_66
    | ~ spl0_7
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1655,f690,f229,f471,f694]) ).

fof(f1900,plain,
    ( c0_1(a584)
    | ~ spl0_9
    | ~ spl0_16
    | ~ spl0_143 ),
    inference(resolution,[],[f1873,f807]) ).

fof(f1904,plain,
    ( c0_1(a551)
    | ~ spl0_9
    | ~ spl0_16
    | ~ spl0_125 ),
    inference(resolution,[],[f1873,f735]) ).

fof(f1905,plain,
    ( c0_1(a546)
    | ~ spl0_9
    | ~ spl0_16
    | ~ spl0_121 ),
    inference(resolution,[],[f1873,f719]) ).

fof(f1908,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_16
    | spl0_78
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f1905,f526]) ).

fof(f1909,plain,
    ( ~ spl0_9
    | ~ spl0_16
    | spl0_78
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f1908]) ).

fof(f1910,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_16
    | spl0_85
    | ~ spl0_125 ),
    inference(forward_subsumption_resolution,[],[f1904,f558]) ).

fof(f1911,plain,
    ( ~ spl0_9
    | ~ spl0_16
    | spl0_85
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f1910]) ).

fof(f1914,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_16
    | spl0_104
    | ~ spl0_143 ),
    inference(forward_subsumption_resolution,[],[f1900,f646]) ).

fof(f1915,plain,
    ( ~ spl0_9
    | ~ spl0_16
    | spl0_104
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f1914]) ).

fof(f1921,plain,
    ( c1_1(a547)
    | ~ spl0_11
    | spl0_79
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f1006,f531]) ).

fof(f1928,plain,
    ( c0_1(a584)
    | ~ spl0_15
    | ~ spl0_143
    | spl0_169 ),
    inference(forward_subsumption_resolution,[],[f1548,f1190]) ).

fof(f1930,plain,
    ( spl0_89
    | spl0_175
    | ~ spl0_15
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1550,f766,f257,f1430,f577]) ).

fof(f1936,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_11
    | spl0_79
    | spl0_80
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f1921,f975]) ).

fof(f1937,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | spl0_79
    | spl0_80
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f1936]) ).

fof(f1938,plain,
    ( $false
    | ~ spl0_15
    | spl0_104
    | ~ spl0_143
    | spl0_169 ),
    inference(forward_subsumption_resolution,[],[f1928,f646]) ).

fof(f1939,plain,
    ( ~ spl0_15
    | spl0_104
    | ~ spl0_143
    | spl0_169 ),
    inference(avatar_contradiction_clause,[],[f1938]) ).

fof(f1941,plain,
    ( ~ spl0_115
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f957,f690,f229,f219,f694]) ).

fof(f1953,plain,
    ( c3_1(a590)
    | ~ spl0_12
    | spl0_108
    | spl0_109 ),
    inference(forward_subsumption_resolution,[],[f1166,f668]) ).

fof(f1968,plain,
    ( spl0_168
    | ~ spl0_12
    | spl0_108
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1953,f667,f663,f247,f1174]) ).

fof(f1971,plain,
    ( c0_1(a553)
    | ~ spl0_8
    | spl0_86
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f1114,f747]) ).

fof(f1972,plain,
    ( spl0_165
    | ~ spl0_8
    | spl0_86
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1971,f746,f562,f233,f1116]) ).

fof(f1986,plain,
    ( ~ c0_1(a615)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_148 ),
    inference(resolution,[],[f955,f827]) ).

fof(f1987,plain,
    ( ~ c0_1(a604)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_146 ),
    inference(resolution,[],[f955,f819]) ).

fof(f1988,plain,
    ( ~ c0_1(a582)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_142 ),
    inference(resolution,[],[f955,f803]) ).

fof(f1992,plain,
    ( ~ spl0_149
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1986,f826,f229,f219,f830]) ).

fof(f2009,plain,
    ( ~ c0_1(a539)
    | c1_1(a539)
    | ~ spl0_17
    | spl0_72 ),
    inference(resolution,[],[f499,f265]) ).

fof(f2039,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2) )
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f255,f955]) ).

fof(f2046,plain,
    ( ~ spl0_149
    | spl0_113
    | ~ spl0_21
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1822,f826,f279,f686,f830]) ).

fof(f2094,plain,
    ( ~ c0_1(a552)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_154 ),
    inference(resolution,[],[f853,f955]) ).

fof(f2097,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_154
    | ~ spl0_155 ),
    inference(forward_subsumption_resolution,[],[f2094,f857]) ).

fof(f2098,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_154
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f2097]) ).

fof(f2101,plain,
    ( spl0_18
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f1073,f247,f243,f268]) ).

fof(f2106,definition,
    ( spl0_178
  <=> c3_1(a549) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f2107,plain,
    ( c3_1(a549)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f2106]) ).

fof(f2122,plain,
    ( c3_1(a549)
    | c0_1(a549)
    | ~ spl0_12
    | spl0_82 ),
    inference(resolution,[],[f248,f545]) ).

fof(f2124,plain,
    ( c3_1(a549)
    | ~ spl0_12
    | spl0_82
    | spl0_84 ),
    inference(forward_subsumption_resolution,[],[f2122,f553]) ).

fof(f2125,plain,
    ( spl0_178
    | ~ spl0_12
    | spl0_82
    | spl0_84 ),
    inference(avatar_split_clause,[],[f2124,f552,f544,f247,f2106]) ).

fof(f2141,plain,
    ( c3_1(a539)
    | ~ c1_1(a539)
    | ~ spl0_24
    | spl0_73 ),
    inference(resolution,[],[f291,f503]) ).

fof(f2144,plain,
    ( ~ c1_1(a539)
    | ~ spl0_24
    | spl0_72
    | spl0_73 ),
    inference(forward_subsumption_resolution,[],[f2141,f499]) ).

fof(f2147,plain,
    ( ~ spl0_167
    | ~ spl0_24
    | spl0_72
    | spl0_73 ),
    inference(avatar_split_clause,[],[f2144,f502,f498,f290,f1153]) ).

fof(f2149,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_24
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f302,f291]) ).

fof(f2155,plain,
    ( ~ c1_1(a567)
    | ~ spl0_24
    | ~ spl0_27
    | spl0_90 ),
    inference(resolution,[],[f2149,f583]) ).

fof(f2164,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_27
    | spl0_90
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f2155,f775]) ).

fof(f2165,plain,
    ( ~ spl0_24
    | ~ spl0_27
    | spl0_90
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f2164]) ).

fof(f2173,plain,
    ( c0_1(a590)
    | ~ c1_1(a590)
    | ~ spl0_34
    | ~ spl0_168 ),
    inference(resolution,[],[f328,f1175]) ).

fof(f2174,plain,
    ( c0_1(a584)
    | ~ c1_1(a584)
    | ~ spl0_34
    | ~ spl0_143 ),
    inference(resolution,[],[f328,f807]) ).

fof(f2176,plain,
    ( c0_1(a566)
    | ~ c1_1(a566)
    | ~ spl0_34
    | ~ spl0_133 ),
    inference(resolution,[],[f328,f767]) ).

fof(f2179,plain,
    ( c0_1(a553)
    | ~ c1_1(a553)
    | ~ spl0_34
    | ~ spl0_127 ),
    inference(resolution,[],[f328,f743]) ).

fof(f2180,plain,
    ( c0_1(a551)
    | ~ c1_1(a551)
    | ~ spl0_34
    | ~ spl0_125 ),
    inference(resolution,[],[f328,f735]) ).

fof(f2187,plain,
    ( ~ c1_1(a551)
    | ~ spl0_34
    | spl0_85
    | ~ spl0_125 ),
    inference(forward_subsumption_resolution,[],[f2180,f558]) ).

fof(f2188,plain,
    ( ~ c1_1(a566)
    | ~ spl0_34
    | spl0_89
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f2176,f578]) ).

fof(f2191,plain,
    ( $false
    | ~ spl0_34
    | spl0_85
    | ~ spl0_125
    | ~ spl0_126 ),
    inference(forward_subsumption_resolution,[],[f2187,f739]) ).

fof(f2192,plain,
    ( ~ spl0_34
    | spl0_85
    | ~ spl0_125
    | ~ spl0_126 ),
    inference(avatar_contradiction_clause,[],[f2191]) ).

fof(f2197,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[],[f347,f955]) ).

fof(f2202,plain,
    ( ~ c0_1(a539)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_39
    | spl0_72 ),
    inference(resolution,[],[f2197,f499]) ).

fof(f2209,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_39
    | spl0_72
    | ~ spl0_117 ),
    inference(forward_subsumption_resolution,[],[f2202,f703]) ).

fof(f2210,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_39
    | spl0_72
    | ~ spl0_117 ),
    inference(avatar_contradiction_clause,[],[f2209]) ).

fof(f2215,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_21
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f358,f280]) ).

fof(f2258,plain,
    ( c0_1(a573)
    | c1_1(a573)
    | ~ spl0_18
    | spl0_95 ),
    inference(resolution,[],[f606,f269]) ).

fof(f2259,plain,
    ( c1_1(a573)
    | ~ spl0_18
    | spl0_95
    | spl0_97 ),
    inference(forward_subsumption_resolution,[],[f2258,f614]) ).

fof(f2263,plain,
    ( ~ c0_1(a563)
    | ~ spl0_2
    | ~ spl0_159
    | ~ spl0_160 ),
    inference(forward_subsumption_resolution,[],[f1521,f879]) ).

fof(f2278,plain,
    ( spl0_96
    | ~ spl0_18
    | spl0_95
    | spl0_97 ),
    inference(avatar_split_clause,[],[f2259,f613,f605,f268,f609]) ).

fof(f2279,plain,
    ( ~ spl0_161
    | ~ spl0_2
    | ~ spl0_159
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f2263,f878,f873,f213,f882]) ).

fof(f2308,plain,
    ( spl0_99
    | ~ spl0_17
    | spl0_98
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1584,f790,f618,f264,f622]) ).

fof(f2371,plain,
    ( ~ c0_1(a562)
    | ~ c1_1(a562)
    | ~ spl0_2
    | ~ spl0_156 ),
    inference(resolution,[],[f214,f861]) ).

fof(f2380,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_14
    | ~ spl0_16
    | ~ spl0_21 ),
    inference(resolution,[],[f262,f1315]) ).

fof(f2384,plain,
    ( ~ c3_1(a584)
    | c0_1(a584)
    | ~ spl0_16
    | spl0_103 ),
    inference(resolution,[],[f262,f642]) ).

fof(f2391,plain,
    ( ~ c3_1(a549)
    | c0_1(a549)
    | ~ spl0_16
    | spl0_82 ),
    inference(resolution,[],[f262,f545]) ).

fof(f2395,plain,
    ( c0_1(a584)
    | ~ spl0_16
    | spl0_103
    | ~ spl0_143 ),
    inference(forward_subsumption_resolution,[],[f2384,f807]) ).

fof(f2397,plain,
    ( spl0_15
    | ~ spl0_14
    | ~ spl0_16
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f2380,f279,f261,f254,f257]) ).

fof(f2398,plain,
    ( $false
    | ~ spl0_16
    | spl0_103
    | spl0_104
    | ~ spl0_143 ),
    inference(forward_subsumption_resolution,[],[f2395,f646]) ).

fof(f2399,plain,
    ( ~ spl0_16
    | spl0_103
    | spl0_104
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f2398]) ).

fof(f2402,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f237,f955]) ).

fof(f2425,plain,
    ( ~ spl0_175
    | ~ spl0_34
    | spl0_89
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2188,f766,f577,f327,f1430]) ).

fof(f2426,plain,
    ( ~ spl0_173
    | ~ spl0_7
    | spl0_112
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1659,f818,f681,f229,f1411]) ).

fof(f2437,plain,
    ( ~ spl0_156
    | spl0_162
    | ~ spl0_9
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1666,f865,f236,f1059,f860]) ).

fof(f2446,plain,
    ( ~ c3_1(a562)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_157 ),
    inference(resolution,[],[f2402,f866]) ).

fof(f2449,plain,
    ( ~ spl0_156
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2446,f865,f236,f229,f219,f860]) ).

fof(f2451,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f244,f2402]) ).

fof(f2529,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[],[f361,f2451]) ).

fof(f2530,plain,
    ( ! [X0] : ~ c2_1(X0)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[],[f2529,f2402]) ).

fof(f2535,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_43
    | ~ spl0_146 ),
    inference(resolution,[],[f2530,f819]) ).

fof(f2538,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_43
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f2535]) ).

fof(f2547,plain,
    ( ~ c1_1(a590)
    | ~ spl0_34
    | spl0_109
    | ~ spl0_168 ),
    inference(forward_subsumption_resolution,[],[f2173,f668]) ).

fof(f2556,plain,
    ( ~ spl0_144
    | ~ spl0_34
    | spl0_109
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2547,f1174,f667,f327,f810]) ).

fof(f2558,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f251,f955]) ).

fof(f2590,plain,
    ( ~ spl0_173
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1987,f818,f229,f219,f1411]) ).

fof(f2591,plain,
    ( ! [X1] : ~ c0_1(X1)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_21
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f2558,f2215]) ).

fof(f2599,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_21
    | ~ spl0_42
    | ~ spl0_132 ),
    inference(resolution,[],[f2591,f763]) ).

fof(f2602,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_21
    | ~ spl0_42
    | ~ spl0_120 ),
    inference(resolution,[],[f2591,f715]) ).

fof(f2605,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_21
    | ~ spl0_42
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f2602]) ).

fof(f2608,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_21
    | ~ spl0_42
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f2599]) ).

fof(f2628,plain,
    ( ~ c0_1(a567)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_135 ),
    inference(resolution,[],[f2558,f775]) ).

fof(f2638,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[],[f2628,f779]) ).

fof(f2639,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f2638]) ).

fof(f2659,plain,
    ( ~ spl0_161
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1454,f873,f226,f219,f882]) ).

fof(f2712,plain,
    ( spl0_167
    | ~ spl0_117
    | ~ spl0_17
    | spl0_72 ),
    inference(avatar_split_clause,[],[f2009,f498,f264,f702,f1153]) ).

fof(f2771,plain,
    ( ~ spl0_158
    | ~ spl0_162
    | ~ spl0_2
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f2371,f860,f213,f1059,f869]) ).

fof(f2781,plain,
    ( ~ c1_1(a584)
    | ~ spl0_34
    | spl0_104
    | ~ spl0_143 ),
    inference(forward_subsumption_resolution,[],[f2174,f646]) ).

fof(f2792,plain,
    ( ~ spl0_169
    | ~ spl0_34
    | spl0_104
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2781,f806,f645,f327,f1189]) ).

fof(f2801,plain,
    ( ~ spl0_174
    | ~ spl0_5
    | spl0_102
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f995,f798,f636,f223,f1424]) ).

fof(f2804,plain,
    ( c0_1(a590)
    | ~ spl0_8
    | spl0_108
    | ~ spl0_144 ),
    inference(forward_subsumption_resolution,[],[f1168,f811]) ).

fof(f2807,plain,
    ( spl0_174
    | spl0_102
    | ~ spl0_14
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1047,f802,f254,f636,f1424]) ).

fof(f2814,plain,
    ( c0_1(a553)
    | ~ spl0_34
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f2179,f747]) ).

fof(f2819,plain,
    ( spl0_109
    | ~ spl0_8
    | spl0_108
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2804,f810,f663,f233,f667]) ).

fof(f2821,plain,
    ( spl0_165
    | ~ spl0_34
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2814,f746,f742,f327,f1116]) ).

fof(f2824,plain,
    ( ~ spl0_174
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1988,f802,f229,f219,f1424]) ).

fof(f2826,plain,
    ( ~ spl0_141
    | spl0_174
    | ~ spl0_9
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1671,f802,f236,f1424,f798]) ).

fof(f2842,plain,
    ( ~ c3_1(a582)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_142 ),
    inference(resolution,[],[f2402,f803]) ).

fof(f2845,plain,
    ( ~ spl0_141
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2842,f802,f236,f229,f219,f798]) ).

fof(f2917,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f358,f955]) ).

fof(f2927,plain,
    ( ~ c0_1(a539)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_42
    | spl0_167 ),
    inference(resolution,[],[f2917,f1154]) ).

fof(f2932,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_42
    | ~ spl0_117
    | spl0_167 ),
    inference(forward_subsumption_resolution,[],[f2927,f703]) ).

fof(f2933,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_42
    | ~ spl0_117
    | spl0_167 ),
    inference(avatar_contradiction_clause,[],[f2932]) ).

fof(f2940,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[],[f361,f2039]) ).

fof(f2944,plain,
    ( c3_1(a604)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_43
    | ~ spl0_146 ),
    inference(resolution,[],[f2940,f819]) ).

fof(f2954,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_43
    | spl0_112
    | ~ spl0_146 ),
    inference(forward_subsumption_resolution,[],[f2944,f682]) ).

fof(f2955,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_43
    | spl0_112
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f2954]) ).

fof(f2962,plain,
    ( spl0_101
    | ~ spl0_1
    | spl0_100
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f976,f794,f627,f210,f631]) ).

fof(f2977,plain,
    ( spl0_5
    | ~ spl0_6
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f1695,f312,f226,f223]) ).

fof(f2978,plain,
    ( spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f1799,f239,f226,f213]) ).

fof(f3031,plain,
    ( c0_1(a549)
    | ~ spl0_16
    | spl0_82
    | ~ spl0_178 ),
    inference(forward_subsumption_resolution,[],[f2391,f2107]) ).

fof(f3035,plain,
    ( spl0_5
    | ~ spl0_6
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f1828,f279,f226,f223]) ).

fof(f3042,plain,
    ( $false
    | ~ spl0_16
    | spl0_82
    | spl0_84
    | ~ spl0_178 ),
    inference(forward_subsumption_resolution,[],[f3031,f553]) ).

fof(f3043,plain,
    ( ~ spl0_16
    | spl0_82
    | spl0_84
    | ~ spl0_178 ),
    inference(avatar_contradiction_clause,[],[f3042]) ).

fof(f3055,plain,
    ( spl0_175
    | ~ spl0_5
    | ~ spl0_15
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1021,f766,f257,f223,f1430]) ).

fof(f3075,plain,
    ( ~ spl0_132
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f941,f758,f223,f213,f762]) ).

fof(f3142,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f240,f1017]) ).

fof(f3146,plain,
    ( ~ c3_1(a566)
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_15
    | ~ spl0_134 ),
    inference(resolution,[],[f3142,f771]) ).

fof(f3149,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_15
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f3146,f767]) ).

fof(f3150,plain,
    ( ~ spl0_5
    | ~ spl0_10
    | ~ spl0_15
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f3149]) ).

fof(f3172,plain,
    ( ~ c3_1(a562)
    | ~ c1_1(a562)
    | ~ spl0_10
    | ~ spl0_157 ),
    inference(resolution,[],[f240,f866]) ).

fof(f3175,plain,
    ( ~ c3_1(a566)
    | ~ c1_1(a566)
    | ~ spl0_10
    | ~ spl0_134 ),
    inference(resolution,[],[f240,f771]) ).

fof(f3179,plain,
    ( ~ c1_1(a566)
    | ~ spl0_10
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f3175,f767]) ).

fof(f3180,plain,
    ( ~ c1_1(a562)
    | ~ spl0_10
    | ~ spl0_156
    | ~ spl0_157 ),
    inference(forward_subsumption_resolution,[],[f3172,f861]) ).

fof(f3181,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_133
    | ~ spl0_134
    | ~ spl0_175 ),
    inference(forward_subsumption_resolution,[],[f3179,f1431]) ).

fof(f3182,plain,
    ( ~ spl0_10
    | ~ spl0_133
    | ~ spl0_134
    | ~ spl0_175 ),
    inference(avatar_contradiction_clause,[],[f3181]) ).

fof(f3183,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_156
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(forward_subsumption_resolution,[],[f3180,f870]) ).

fof(f3184,plain,
    ( ~ spl0_10
    | ~ spl0_156
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f3183]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f221]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f231]) ).

cnf(s3,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f241]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_9
    | spl0_11 ),
    inference(sat_conversion,[],[f245]) ).

cnf(s5,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f252]) ).

cnf(s6,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_14
    | spl0_15 ),
    inference(sat_conversion,[],[f259]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f266]) ).

cnf(s9,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_19 ),
    inference(sat_conversion,[],[f274]) ).

cnf(s11,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f288]) ).

cnf(s13,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f296]) ).

cnf(s15,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_21
    | spl0_28 ),
    inference(sat_conversion,[],[f307]) ).

cnf(s16,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_29
    | spl0_30 ),
    inference(sat_conversion,[],[f314]) ).

cnf(s17,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_22
    | spl0_31 ),
    inference(sat_conversion,[],[f318]) ).

cnf(s18,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_21
    | spl0_32 ),
    inference(sat_conversion,[],[f322]) ).

cnf(s19,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_33
    | spl0_34 ),
    inference(sat_conversion,[],[f329]) ).

cnf(s20,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_35
    | spl0_36 ),
    inference(sat_conversion,[],[f336]) ).

cnf(s25,plain,
    ( ~ spl0_3
    | spl0_41
    | spl0_42
    | spl0_43 ),
    inference(sat_conversion,[],[f362]) ).

cnf(s36,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_19
    | spl0_51 ),
    inference(sat_conversion,[],[f397]) ).

cnf(s38,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_52
    | spl0_53 ),
    inference(sat_conversion,[],[f405]) ).

cnf(s40,plain,
    ( ~ spl0_3
    | spl0_43
    | spl0_48
    | spl0_54 ),
    inference(sat_conversion,[],[f410]) ).

cnf(s45,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_23
    | spl0_57 ),
    inference(sat_conversion,[],[f427]) ).

cnf(s46,plain,
    ( ~ spl0_3
    | spl0_26
    | spl0_27
    | spl0_33 ),
    inference(sat_conversion,[],[f428]) ).

cnf(s47,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_35
    | spl0_59 ),
    inference(sat_conversion,[],[f432]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | spl0_34
    | spl0_35
    | spl0_58 ),
    inference(sat_conversion,[],[f434]) ).

cnf(s52,plain,
    ( ~ spl0_3
    | spl0_24
    | spl0_26
    | spl0_33 ),
    inference(sat_conversion,[],[f440]) ).

cnf(s53,plain,
    ( ~ spl0_3
    | spl0_39
    | spl0_40
    | spl0_57 ),
    inference(sat_conversion,[],[f441]) ).

cnf(s54,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_57
    | spl0_61 ),
    inference(sat_conversion,[],[f445]) ).

cnf(s55,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_31
    | spl0_50 ),
    inference(sat_conversion,[],[f446]) ).

cnf(s57,plain,
    ( ~ spl0_3
    | spl0_23
    | spl0_37
    | spl0_42 ),
    inference(sat_conversion,[],[f448]) ).

cnf(s58,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_37
    | spl0_55 ),
    inference(sat_conversion,[],[f449]) ).

cnf(s59,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_37
    | spl0_61 ),
    inference(sat_conversion,[],[f450]) ).

cnf(s66,plain,
    ( ~ spl0_35
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s72,plain,
    ( ~ spl0_26
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f500]) ).

cnf(s73,plain,
    ( ~ spl0_26
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f504]) ).

cnf(s74,plain,
    ( ~ spl0_48
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f509]) ).

cnf(s77,plain,
    ( ~ spl0_33
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f523]) ).

cnf(s78,plain,
    ( ~ spl0_33
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f527]) ).

cnf(s79,plain,
    ( ~ spl0_28
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f532]) ).

cnf(s80,plain,
    ( ~ spl0_28
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f536]) ).

cnf(s82,plain,
    ( ~ spl0_55
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f546]) ).

cnf(s84,plain,
    ( ~ spl0_55
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f554]) ).

cnf(s85,plain,
    ( ~ spl0_51
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f559]) ).

cnf(s86,plain,
    ( ~ spl0_37
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f564]) ).

cnf(s87,plain,
    ( ~ spl0_23
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f569]) ).

cnf(s88,plain,
    ( ~ spl0_31
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f574]) ).

cnf(s89,plain,
    ( ~ spl0_19
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f579]) ).

cnf(s90,plain,
    ( ~ spl0_59
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f584]) ).

cnf(s95,plain,
    ( ~ spl0_41
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f607]) ).

cnf(s96,plain,
    ( ~ spl0_41
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f611]) ).

cnf(s97,plain,
    ( ~ spl0_41
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f615]) ).

cnf(s98,plain,
    ( ~ spl0_29
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f620]) ).

cnf(s99,plain,
    ( ~ spl0_29
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f624]) ).

cnf(s100,plain,
    ( ~ spl0_50
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f629]) ).

cnf(s101,plain,
    ( ~ spl0_50
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s102,plain,
    ( ~ spl0_57
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f638]) ).

cnf(s103,plain,
    ( ~ spl0_40
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s104,plain,
    ( ~ spl0_40
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f647]) ).

cnf(s105,plain,
    ( ~ spl0_20
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f652]) ).

cnf(s106,plain,
    ( ~ spl0_20
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f656]) ).

cnf(s107,plain,
    ( ~ spl0_20
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f660]) ).

cnf(s108,plain,
    ( ~ spl0_25
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s109,plain,
    ( ~ spl0_25
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f669]) ).

cnf(s112,plain,
    ( ~ spl0_52
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f683]) ).

cnf(s113,plain,
    ( ~ spl0_53
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f688]) ).

cnf(s114,plain,
    ( ~ spl0_35
    | spl0_114 ),
    inference(sat_conversion,[],[f692]) ).

cnf(s115,plain,
    ( ~ spl0_35
    | spl0_115 ),
    inference(sat_conversion,[],[f696]) ).

cnf(s117,plain,
    ( ~ spl0_26
    | spl0_117 ),
    inference(sat_conversion,[],[f704]) ).

cnf(s118,plain,
    ( ~ spl0_48
    | spl0_118 ),
    inference(sat_conversion,[],[f708]) ).

cnf(s120,plain,
    ( ~ spl0_54
    | spl0_120 ),
    inference(sat_conversion,[],[f716]) ).

cnf(s121,plain,
    ( ~ spl0_33
    | spl0_121 ),
    inference(sat_conversion,[],[f720]) ).

cnf(s122,plain,
    ( ~ spl0_28
    | spl0_122 ),
    inference(sat_conversion,[],[f724]) ).

cnf(s125,plain,
    ( ~ spl0_51
    | spl0_125 ),
    inference(sat_conversion,[],[f736]) ).

cnf(s126,plain,
    ( ~ spl0_51
    | spl0_126 ),
    inference(sat_conversion,[],[f740]) ).

cnf(s127,plain,
    ( ~ spl0_37
    | spl0_127 ),
    inference(sat_conversion,[],[f744]) ).

cnf(s128,plain,
    ( ~ spl0_37
    | spl0_128 ),
    inference(sat_conversion,[],[f748]) ).

cnf(s129,plain,
    ( ~ spl0_23
    | spl0_129 ),
    inference(sat_conversion,[],[f752]) ).

cnf(s130,plain,
    ( ~ spl0_23
    | spl0_130 ),
    inference(sat_conversion,[],[f756]) ).

cnf(s131,plain,
    ( ~ spl0_31
    | spl0_131 ),
    inference(sat_conversion,[],[f760]) ).

cnf(s132,plain,
    ( ~ spl0_31
    | spl0_132 ),
    inference(sat_conversion,[],[f764]) ).

cnf(s133,plain,
    ( ~ spl0_19
    | spl0_133 ),
    inference(sat_conversion,[],[f768]) ).

cnf(s134,plain,
    ( ~ spl0_19
    | spl0_134 ),
    inference(sat_conversion,[],[f772]) ).

cnf(s135,plain,
    ( ~ spl0_59
    | spl0_135 ),
    inference(sat_conversion,[],[f776]) ).

cnf(s136,plain,
    ( ~ spl0_59
    | spl0_136 ),
    inference(sat_conversion,[],[f780]) ).

cnf(s139,plain,
    ( ~ spl0_29
    | spl0_139 ),
    inference(sat_conversion,[],[f792]) ).

cnf(s140,plain,
    ( ~ spl0_50
    | spl0_140 ),
    inference(sat_conversion,[],[f796]) ).

cnf(s141,plain,
    ( ~ spl0_57
    | spl0_141 ),
    inference(sat_conversion,[],[f800]) ).

cnf(s142,plain,
    ( ~ spl0_57
    | spl0_142 ),
    inference(sat_conversion,[],[f804]) ).

cnf(s143,plain,
    ( ~ spl0_40
    | spl0_143 ),
    inference(sat_conversion,[],[f808]) ).

cnf(s144,plain,
    ( ~ spl0_25
    | spl0_144 ),
    inference(sat_conversion,[],[f812]) ).

cnf(s146,plain,
    ( ~ spl0_52
    | spl0_146 ),
    inference(sat_conversion,[],[f820]) ).

cnf(s147,plain,
    ( ~ spl0_52
    | spl0_147 ),
    inference(sat_conversion,[],[f824]) ).

cnf(s148,plain,
    ( ~ spl0_53
    | spl0_148 ),
    inference(sat_conversion,[],[f828]) ).

cnf(s149,plain,
    ( ~ spl0_53
    | spl0_149 ),
    inference(sat_conversion,[],[f832]) ).

cnf(s153,plain,
    ( ~ spl0_61
    | spl0_153 ),
    inference(sat_conversion,[],[f850]) ).

cnf(s154,plain,
    ( ~ spl0_61
    | spl0_154 ),
    inference(sat_conversion,[],[f854]) ).

cnf(s155,plain,
    ( ~ spl0_61
    | spl0_155 ),
    inference(sat_conversion,[],[f858]) ).

cnf(s156,plain,
    ( ~ spl0_58
    | spl0_156 ),
    inference(sat_conversion,[],[f863]) ).

cnf(s157,plain,
    ( ~ spl0_58
    | spl0_157 ),
    inference(sat_conversion,[],[f867]) ).

cnf(s158,plain,
    ( ~ spl0_58
    | spl0_158 ),
    inference(sat_conversion,[],[f871]) ).

cnf(s159,plain,
    ( ~ spl0_32
    | spl0_159 ),
    inference(sat_conversion,[],[f876]) ).

cnf(s160,plain,
    ( ~ spl0_32
    | spl0_160 ),
    inference(sat_conversion,[],[f880]) ).

cnf(s161,plain,
    ( ~ spl0_32
    | spl0_161 ),
    inference(sat_conversion,[],[f884]) ).

cnf(s162,plain,
    ( spl0_20
    | spl0_40
    | spl0_57 ),
    inference(sat_conversion,[],[f885]) ).

cnf(s166,plain,
    ( spl0_25
    | spl0_26
    | spl0_41 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s169,plain,
    ( spl0_25
    | spl0_31
    | spl0_33 ),
    inference(sat_conversion,[],[f892]) ).

cnf(s175,plain,
    ( spl0_19
    | spl0_23
    | spl0_32 ),
    inference(sat_conversion,[],[f898]) ).

cnf(s189,plain,
    ( spl0_3
    | ~ spl0_23 ),
    inference(sat_conversion,[],[f913]) ).

cnf(s191,plain,
    ( spl0_3
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f915]) ).

cnf(s208,plain,
    ( spl0_3
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f932]) ).

cnf(s212,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f953]) ).

cnf(s216,plain,
    ( ~ spl0_5
    | spl0_87
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f992]) ).

cnf(s218,plain,
    ( ~ spl0_5
    | ~ spl0_15
    | spl0_102
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f1029]) ).

cnf(s227,plain,
    ( ~ spl0_12
    | spl0_105
    | spl0_106
    | spl0_107 ),
    inference(sat_conversion,[],[f1089]) ).

cnf(s249,plain,
    ( ~ spl0_8
    | ~ spl0_13
    | spl0_108
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1172]) ).

cnf(s256,plain,
    ( ~ spl0_6
    | spl0_88
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f1221]) ).

cnf(s260,plain,
    ( ~ spl0_8
    | ~ spl0_13
    | spl0_90
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1235]) ).

cnf(s264,plain,
    ( ~ spl0_12
    | ~ spl0_36
    | spl0_79
    | spl0_80 ),
    inference(sat_conversion,[],[f1253]) ).

cnf(s267,plain,
    ( ~ spl0_7
    | ~ spl0_12
    | ~ spl0_36
    | spl0_112
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1284]) ).

cnf(s299,plain,
    ( ~ spl0_8
    | ~ spl0_13
    | ~ spl0_22
    | ~ spl0_160
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1407]) ).

cnf(s302,plain,
    ( ~ spl0_1
    | spl0_112
    | ~ spl0_147
    | spl0_173 ),
    inference(sat_conversion,[],[f1422]) ).

cnf(s311,plain,
    ( ~ spl0_9
    | spl0_89
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1442]) ).

cnf(s315,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_127
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1464]) ).

cnf(s339,plain,
    ( ~ spl0_2
    | ~ spl0_127
    | ~ spl0_128
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1537]) ).

cnf(s340,plain,
    ( ~ spl0_2
    | ~ spl0_153
    | ~ spl0_155
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1539]) ).

cnf(s343,plain,
    ( ~ spl0_15
    | spl0_77
    | spl0_78
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1564]) ).

cnf(s345,plain,
    ( ~ spl0_15
    | spl0_102
    | ~ spl0_141
    | spl0_174 ),
    inference(sat_conversion,[],[f1566]) ).

cnf(s361,plain,
    ( ~ spl0_8
    | ~ spl0_9
    | spl0_34 ),
    inference(sat_conversion,[],[f1617]) ).

cnf(s368,plain,
    ( ~ spl0_14
    | spl0_89
    | ~ spl0_134
    | spl0_175 ),
    inference(sat_conversion,[],[f1620]) ).

cnf(s380,plain,
    ( ~ spl0_8
    | ~ spl0_13
    | ~ spl0_43
    | spl0_112
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1643]) ).

cnf(s421,plain,
    ( ~ spl0_21
    | ~ spl0_154
    | ~ spl0_155
    | spl0_166 ),
    inference(sat_conversion,[],[f1838]) ).

cnf(s424,plain,
    ( ~ spl0_6
    | ~ spl0_16
    | spl0_74
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f1859]) ).

cnf(s439,plain,
    ( ~ spl0_7
    | spl0_66
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f1883]) ).

cnf(s449,plain,
    ( ~ spl0_9
    | ~ spl0_16
    | spl0_78
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1909]) ).

cnf(s450,plain,
    ( ~ spl0_9
    | ~ spl0_16
    | spl0_85
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1911]) ).

cnf(s453,plain,
    ( ~ spl0_9
    | ~ spl0_16
    | spl0_104
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1915]) ).

cnf(s461,plain,
    ( ~ spl0_15
    | spl0_89
    | ~ spl0_133
    | spl0_175 ),
    inference(sat_conversion,[],[f1930]) ).

cnf(s465,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | spl0_79
    | spl0_80
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f1937]) ).

cnf(s467,plain,
    ( ~ spl0_15
    | spl0_104
    | ~ spl0_143
    | spl0_169 ),
    inference(sat_conversion,[],[f1939]) ).

cnf(s470,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f1941]) ).

cnf(s493,plain,
    ( ~ spl0_12
    | spl0_108
    | spl0_109
    | spl0_168 ),
    inference(sat_conversion,[],[f1968]) ).

cnf(s498,plain,
    ( ~ spl0_8
    | spl0_86
    | ~ spl0_128
    | spl0_165 ),
    inference(sat_conversion,[],[f1972]) ).

cnf(s504,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1992]) ).

cnf(s537,plain,
    ( ~ spl0_21
    | spl0_113
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f2046]) ).

cnf(s563,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_154
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2098]) ).

cnf(s567,plain,
    ( ~ spl0_11
    | ~ spl0_12
    | spl0_18 ),
    inference(sat_conversion,[],[f2101]) ).

cnf(s572,plain,
    ( ~ spl0_12
    | spl0_82
    | spl0_84
    | spl0_178 ),
    inference(sat_conversion,[],[f2125]) ).

cnf(s575,plain,
    ( ~ spl0_24
    | spl0_72
    | spl0_73
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f2147]) ).

cnf(s578,plain,
    ( ~ spl0_24
    | ~ spl0_27
    | spl0_90
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f2165]) ).

cnf(s582,plain,
    ( ~ spl0_34
    | spl0_85
    | ~ spl0_125
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f2192]) ).

cnf(s587,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_39
    | spl0_72
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f2210]) ).

cnf(s603,plain,
    ( ~ spl0_18
    | spl0_95
    | spl0_96
    | spl0_97 ),
    inference(sat_conversion,[],[f2278]) ).

cnf(s604,plain,
    ( ~ spl0_2
    | ~ spl0_159
    | ~ spl0_160
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2279]) ).

cnf(s616,plain,
    ( ~ spl0_17
    | spl0_98
    | spl0_99
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f2308]) ).

cnf(s638,plain,
    ( ~ spl0_14
    | spl0_15
    | ~ spl0_16
    | ~ spl0_21 ),
    inference(sat_conversion,[],[f2397]) ).

cnf(s639,plain,
    ( ~ spl0_16
    | spl0_103
    | spl0_104
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f2399]) ).

cnf(s657,plain,
    ( ~ spl0_34
    | spl0_89
    | ~ spl0_133
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f2425]) ).

cnf(s658,plain,
    ( ~ spl0_7
    | spl0_112
    | ~ spl0_146
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f2426]) ).

cnf(s676,plain,
    ( ~ spl0_9
    | ~ spl0_156
    | ~ spl0_157
    | spl0_162 ),
    inference(sat_conversion,[],[f2437]) ).

cnf(s679,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_156
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f2449]) ).

cnf(s695,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_43
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f2538]) ).

cnf(s710,plain,
    ( ~ spl0_34
    | spl0_109
    | ~ spl0_144
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2556]) ).

cnf(s721,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_146
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f2590]) ).

cnf(s723,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_21
    | ~ spl0_42
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f2605]) ).

cnf(s726,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_21
    | ~ spl0_42
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f2608]) ).

cnf(s742,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f2639]) ).

cnf(s752,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_159
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2659]) ).

cnf(s810,plain,
    ( ~ spl0_17
    | spl0_72
    | ~ spl0_117
    | spl0_167 ),
    inference(sat_conversion,[],[f2712]) ).

cnf(s851,plain,
    ( ~ spl0_2
    | ~ spl0_156
    | ~ spl0_158
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2771]) ).

cnf(s870,plain,
    ( ~ spl0_34
    | spl0_104
    | ~ spl0_143
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f2792]) ).

cnf(s877,plain,
    ( ~ spl0_5
    | spl0_102
    | ~ spl0_141
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f2801]) ).

cnf(s881,plain,
    ( ~ spl0_14
    | spl0_102
    | ~ spl0_142
    | spl0_174 ),
    inference(sat_conversion,[],[f2807]) ).

cnf(s896,plain,
    ( ~ spl0_8
    | spl0_108
    | spl0_109
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f2819]) ).

cnf(s902,plain,
    ( ~ spl0_34
    | ~ spl0_127
    | ~ spl0_128
    | spl0_165 ),
    inference(sat_conversion,[],[f2821]) ).

cnf(s907,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_142
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f2824]) ).

cnf(s916,plain,
    ( ~ spl0_9
    | ~ spl0_141
    | ~ spl0_142
    | spl0_174 ),
    inference(sat_conversion,[],[f2826]) ).

cnf(s936,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_141
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f2845]) ).

cnf(s941,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_42
    | ~ spl0_117
    | spl0_167 ),
    inference(sat_conversion,[],[f2933]) ).

cnf(s947,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_43
    | spl0_112
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f2955]) ).

cnf(s949,plain,
    ( ~ spl0_1
    | spl0_100
    | spl0_101
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f2962]) ).

cnf(s963,plain,
    ( spl0_5
    | ~ spl0_6
    | ~ spl0_30 ),
    inference(sat_conversion,[],[f2977]) ).

cnf(s964,plain,
    ( spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f2978]) ).

cnf(s1026,plain,
    ( spl0_5
    | ~ spl0_6
    | ~ spl0_21 ),
    inference(sat_conversion,[],[f3035]) ).

cnf(s1044,plain,
    ( ~ spl0_16
    | spl0_82
    | spl0_84
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f3043]) ).

cnf(s1050,plain,
    ( ~ spl0_5
    | ~ spl0_15
    | ~ spl0_133
    | spl0_175 ),
    inference(sat_conversion,[],[f3055]) ).

cnf(s1078,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f3075]) ).

cnf(s1100,plain,
    ( ~ spl0_5
    | ~ spl0_10
    | ~ spl0_15
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f3150]) ).

cnf(s1109,plain,
    ( ~ spl0_10
    | ~ spl0_133
    | ~ spl0_134
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f3182]) ).

cnf(s1110,plain,
    ( ~ spl0_10
    | ~ spl0_156
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f3184]) ).

cnf(s1111,plain,
    spl0_3,
    inference(rat,[],[s175,s189,s191,s208]) ).

cnf(s1112,plain,
    ( ~ spl0_33
    | ~ spl0_15 ),
    inference(rat,[],[s343,s77,s78,s121]) ).

cnf(s1115,plain,
    ( ~ spl0_58
    | ~ spl0_10 ),
    inference(rat,[],[s1110,s156,s157,s158]) ).

cnf(s1116,plain,
    ( ~ spl0_35
    | ~ spl0_7
    | ~ spl0_4 ),
    inference(rat,[],[s470,s114,s115]) ).

cnf(s1118,plain,
    ( ~ spl0_57
    | ~ spl0_15
    | ~ spl0_7
    | ~ spl0_4 ),
    inference(rat,[],[s345,s907,s102,s141,s142]) ).

cnf(s1119,plain,
    ( ~ spl0_40
    | ~ spl0_15
    | ~ spl0_34 ),
    inference(rat,[],[s467,s870,s104,s143]) ).

cnf(s1120,plain,
    ( ~ spl0_20
    | ~ spl0_12 ),
    inference(rat,[],[s227,s105,s106,s107]) ).

cnf(s1121,plain,
    ( ~ spl0_15
    | ~ spl0_34
    | spl0_20
    | ~ spl0_7
    | ~ spl0_4 ),
    inference(rat,[],[s162,s1119,s1118]) ).

cnf(s1122,plain,
    ( ~ spl0_57
    | ~ spl0_14
    | ~ spl0_7
    | ~ spl0_4 ),
    inference(rat,[],[s881,s907,s102,s142]) ).

cnf(s1124,plain,
    ( spl0_109
    | ~ spl0_25
    | ~ spl0_34
    | ~ spl0_12 ),
    inference(rat,[],[s493,s710,s144,s108]) ).

cnf(s1125,plain,
    ( ~ spl0_25
    | ~ spl0_34
    | ~ spl0_12 ),
    inference(rat,[],[s109,s1124]) ).

cnf(s1126,plain,
    ( ~ spl0_41
    | ~ spl0_18 ),
    inference(rat,[],[s603,s95,s96,s97]) ).

cnf(s1127,plain,
    ( spl0_9
    | spl0_8
    | ~ spl0_7
    | spl0_6
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s575,s810,s72,s73,s117,s166,s1126,s13,s1125,s7,s639,s103,s104,s143,s162,s1122,s6,s1121,s567,s49,s1115,s3,s4,s1120,s5,s742,s136,s135,s47,s1116,s1111]) ).

cnf(s1128,plain,
    ( ~ spl0_57
    | ~ spl0_9
    | ~ spl0_7
    | ~ spl0_4 ),
    inference(rat,[],[s936,s141,s142]) ).

cnf(s1129,plain,
    ( ~ spl0_26
    | spl0_72
    | ~ spl0_24
    | ~ spl0_17 ),
    inference(rat,[],[s575,s810,s73,s117]) ).

cnf(s1130,plain,
    ( ~ spl0_61
    | ~ spl0_7
    | ~ spl0_4 ),
    inference(rat,[],[s563,s154,s155]) ).

cnf(s1131,plain,
    ( spl0_25
    | spl0_41
    | ~ spl0_17
    | spl0_2 ),
    inference(rat,[],[s1129,s72,s166,s13,s1111]) ).

cnf(s1132,plain,
    ( spl0_8
    | ~ spl0_7
    | spl0_6
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s679,s156,s157,s49,s1125,s1131,s1126,s567,s54,s7,s453,s104,s143,s162,s1128,s1127,s1120,s5,s742,s136,s135,s47,s1116,s1130,s1111]) ).

cnf(s1135,plain,
    ( ~ spl0_52
    | ~ spl0_43
    | ~ spl0_14
    | ~ spl0_7
    | ~ spl0_4 ),
    inference(rat,[],[s947,s112,s146]) ).

cnf(s1136,plain,
    ( ~ spl0_53
    | ~ spl0_7
    | ~ spl0_4 ),
    inference(rat,[],[s504,s148,s149]) ).

cnf(s1137,plain,
    ( spl0_9
    | ~ spl0_24
    | spl0_25
    | spl0_15
    | ~ spl0_52
    | ~ spl0_12
    | ~ spl0_7
    | spl0_6
    | ~ spl0_4 ),
    inference(rat,[],[s575,s941,s72,s73,s117,s166,s25,s1126,s1135,s567,s6,s4,s1111]) ).

cnf(s1138,plain,
    ( ~ spl0_34
    | ~ spl0_7
    | spl0_6
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s575,s941,s72,s73,s117,s166,s25,s1126,s695,s567,s54,s1128,s1137,s13,s1125,s1121,s1120,s5,s742,s136,s135,s47,s1116,s1130,s146,s38,s1136,s1111]) ).

cnf(s1139,plain,
    ( spl0_25
    | ~ spl0_7
    | spl0_6
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s1137,s13,s5,s38,s1136,s361,s1132,s1112,s19,s1138,s742,s136,s135,s47,s1116,s1111]) ).

cnf(s1140,plain,
    ( ~ spl0_7
    | spl0_6
    | spl0_2
    | ~ spl0_4 ),
    inference(rat,[],[s896,s108,s109,s144,s1139,s1132]) ).

cnf(s1141,plain,
    ( spl0_6
    | spl0_5
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s1140,s2,s1111]) ).

cnf(s1142,plain,
    ( ~ spl0_32
    | ~ spl0_6
    | ~ spl0_4 ),
    inference(rat,[],[s752,s159,s161]) ).

cnf(s1144,plain,
    ( ~ spl0_19
    | ~ spl0_9 ),
    inference(rat,[],[s311,s89,s133,s134]) ).

cnf(s1145,plain,
    ( spl0_5
    | spl0_2
    | ~ spl0_4 ),
    inference(rat,[],[s212,s129,s130,s175,s1144,s18,s1142,s1026,s1141,s1111]) ).

cnf(s1146,plain,
    ( ~ spl0_19
    | ~ spl0_14
    | ~ spl0_34 ),
    inference(rat,[],[s368,s657,s89,s133,s134]) ).

cnf(s1149,plain,
    ( ~ spl0_23
    | ~ spl0_5 ),
    inference(rat,[],[s216,s87,s129,s130]) ).

cnf(s1150,plain,
    ( ~ spl0_57
    | ~ spl0_5 ),
    inference(rat,[],[s6,s881,s916,s218,s877,s102,s141,s142,s1111]) ).

cnf(s1151,plain,
    ( ~ spl0_34
    | ~ spl0_19
    | ~ spl0_5 ),
    inference(rat,[],[s1050,s6,s657,s1146,s133,s89,s1144,s1111]) ).

cnf(s1152,plain,
    ( ~ spl0_37
    | ~ spl0_8
    | ~ spl0_6
    | ~ spl0_4 ),
    inference(rat,[],[s498,s315,s86,s127,s128]) ).

cnf(s1153,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s424,s74,s118,s40,s120,s723,s380,s5,s572,s1044,s82,s84,s58,s57,s59,s1152,s18,s3,s1144,s112,s147,s175,s38,s1142,s964,s1136,s1140,s1130,s45,s1150,s1149,s1145,s1,s1111]) ).

cnf(s1154,plain,
    ( ~ spl0_37
    | ~ spl0_34
    | ~ spl0_2 ),
    inference(rat,[],[s902,s339,s127,s128]) ).

cnf(s1155,plain,
    ( ~ spl0_32
    | ~ spl0_2 ),
    inference(rat,[],[s604,s159,s160,s161]) ).

cnf(s1156,plain,
    ( ~ spl0_37
    | spl0_9
    | spl0_35
    | ~ spl0_2 ),
    inference(rat,[],[s3,s1115,s498,s49,s339,s1154,s86,s127,s128,s1111]) ).

cnf(s1157,plain,
    ( spl0_15
    | ~ spl0_16
    | ~ spl0_21
    | spl0_9 ),
    inference(rat,[],[s638,s6,s1111]) ).

cnf(s1160,plain,
    ( spl0_26
    | spl0_33
    | ~ spl0_59 ),
    inference(rat,[],[s578,s52,s46,s135,s90,s1111]) ).

cnf(s1161,plain,
    ( ~ spl0_15
    | ~ spl0_59
    | ~ spl0_7
    | ~ spl0_4 ),
    inference(rat,[],[s587,s72,s117,s1160,s53,s1119,s19,s1118,s1112,s742,s135,s136,s1111]) ).

cnf(s1162,plain,
    ( spl0_9
    | spl0_15
    | spl0_61
    | spl0_35
    | ~ spl0_2 ),
    inference(rat,[],[s59,s1157,s1156,s18,s1155,s1111]) ).

cnf(s1163,plain,
    ( ~ spl0_58
    | ~ spl0_9
    | ~ spl0_7
    | ~ spl0_4 ),
    inference(rat,[],[s679,s156,s157]) ).

cnf(s1164,plain,
    ( ~ spl0_40
    | ~ spl0_16 ),
    inference(rat,[],[s639,s103,s104,s143]) ).

cnf(s1165,plain,
    ( ~ spl0_33
    | ~ spl0_16
    | ~ spl0_9 ),
    inference(rat,[],[s449,s78,s121]) ).

cnf(s1166,plain,
    ( ~ spl0_59
    | ~ spl0_7
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s587,s72,s117,s1160,s1165,s53,s1164,s59,s1154,s49,s1163,s1128,s1162,s1161,s1116,s1130,s1111]) ).

cnf(s1167,plain,
    ( spl0_9
    | ~ spl0_7
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s249,s108,s144,s169,s132,s726,s3,s19,s1100,s1151,s133,s134,s57,s175,s1149,s1112,s1026,s1162,s1156,s18,s1155,s1130,s47,s1166,s1116,s1111]) ).

cnf(s1168,plain,
    ( ~ spl0_7
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s212,s129,s130,s175,s1144,s1167,s47,s1166,s1116,s1155,s1111]) ).

cnf(s1169,plain,
    ( ~ spl0_5
    | spl0_7 ),
    inference(rat,[],[s45,s1150,s1149,s1111]) ).

cnf(s1170,plain,
    ( ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s212,s129,s130,s175,s1144,s18,s1026,s2,s1169,s1168,s1155,s1111]) ).

cnf(s1171,plain,
    ( ~ spl0_61
    | ~ spl0_21
    | ~ spl0_2 ),
    inference(rat,[],[s340,s421,s153,s154,s155]) ).

cnf(s1172,plain,
    ( ~ spl0_35
    | ~ spl0_7 ),
    inference(rat,[],[s439,s66,s114,s115]) ).

cnf(s1173,plain,
    ( ~ spl0_51
    | ~ spl0_34 ),
    inference(rat,[],[s582,s85,s125,s126]) ).

cnf(s1174,plain,
    ( ~ spl0_34
    | ~ spl0_15
    | spl0_4 ),
    inference(rat,[],[s461,s657,s89,s133,s36,s1173,s1111]) ).

cnf(s1175,plain,
    ( ~ spl0_59
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(rat,[],[s260,s90,s135]) ).

cnf(s1176,plain,
    ( ~ spl0_31
    | ~ spl0_5
    | ~ spl0_2 ),
    inference(rat,[],[s1078,s131,s132]) ).

cnf(s1177,plain,
    ( spl0_9
    | spl0_35
    | ~ spl0_2 ),
    inference(rat,[],[s249,s108,s144,s169,s1176,s1026,s47,s1175,s3,s1115,s19,s49,s1174,s1112,s1162,s1171,s18,s1155,s1170,s1111]) ).

cnf(s1178,plain,
    ( spl0_35
    | ~ spl0_2 ),
    inference(rat,[],[s676,s851,s156,s157,s158,s49,s1173,s36,s1144,s1177,s1170,s1111]) ).

cnf(s1179,plain,
    ~ spl0_2,
    inference(rat,[],[s7,s361,s450,s1173,s85,s125,s616,s36,s98,s99,s139,s1144,s16,s18,s963,s1026,s2,s1169,s1172,s1178,s1170,s1155,s1111]) ).

cnf(s1180,plain,
    spl0_1,
    inference(rat,[],[s1153,s1179]) ).

cnf(s1181,plain,
    ( ~ spl0_7
    | ~ spl0_4 ),
    inference(rat,[],[s302,s721,s112,s146,s147,s38,s1136,s1179,s1111,s1180]) ).

cnf(s1182,plain,
    ~ spl0_4,
    inference(rat,[],[s1181,s1169,s1145,s1179]) ).

cnf(s1184,plain,
    spl0_19,
    inference(rat,[],[s9,s1179,s1111,s1182]) ).

cnf(s1185,plain,
    spl0_134,
    inference(rat,[],[s134,s1184]) ).

cnf(s1186,plain,
    spl0_133,
    inference(rat,[],[s133,s1184]) ).

cnf(s1187,plain,
    ~ spl0_89,
    inference(rat,[],[s89,s1184]) ).

cnf(s1188,plain,
    ~ spl0_9,
    inference(rat,[],[s1144,s1184]) ).

cnf(s1191,plain,
    ( ~ spl0_53
    | ~ spl0_21 ),
    inference(rat,[],[s537,s113,s148,s149]) ).

cnf(s1192,plain,
    ( ~ spl0_52
    | ~ spl0_12
    | ~ spl0_7 ),
    inference(rat,[],[s267,s112,s146,s20,s1172,s1182,s1111]) ).

cnf(s1193,plain,
    ( spl0_6
    | ~ spl0_8
    | ~ spl0_7 ),
    inference(rat,[],[s465,s79,s80,s122,s15,s1191,s38,s1192,s5,s1175,s47,s4,s1172,s1180,s1111,s1179,s1188]) ).

cnf(s1194,plain,
    ( ~ spl0_52
    | ~ spl0_7 ),
    inference(rat,[],[s302,s658,s112,s146,s147,s1180]) ).

cnf(s1195,plain,
    ( spl0_13
    | ~ spl0_7 ),
    inference(rat,[],[s264,s79,s80,s15,s5,s20,s1172,s1191,s38,s1194,s1111,s1179,s1182]) ).

cnf(s1196,plain,
    ( ~ spl0_8
    | ~ spl0_7 ),
    inference(rat,[],[s256,s88,s131,s132,s17,s616,s98,s99,s139,s16,s963,s1149,s11,s299,s1193,s161,s160,s18,s1191,s38,s1194,s1195,s1111,s1188,s1179]) ).

cnf(s1197,plain,
    spl0_175,
    inference(rat,[],[s6,s461,s368,s1111,s1188,s1186,s1187,s1185]) ).

cnf(s1199,plain,
    ~ spl0_10,
    inference(rat,[],[s1109,s1186,s1185,s1197]) ).

cnf(s1200,plain,
    spl0_8,
    inference(rat,[],[s3,s1188,s1111,s1199]) ).

cnf(s1201,plain,
    ~ spl0_7,
    inference(rat,[],[s1196,s1200]) ).

cnf(s1202,plain,
    ~ spl0_5,
    inference(rat,[],[s1169,s1201]) ).

cnf(s1203,plain,
    spl0_6,
    inference(rat,[],[s2,s1201,s1111,s1202]) ).

cnf(s1204,plain,
    ~ spl0_21,
    inference(rat,[],[s1026,s1203,s1202]) ).

cnf(s1205,plain,
    ~ spl0_30,
    inference(rat,[],[s963,s1203,s1202]) ).

cnf(s1207,plain,
    spl0_29,
    inference(rat,[],[s16,s1204,s1111,s1205]) ).

cnf(s1211,plain,
    spl0_139,
    inference(rat,[],[s139,s1207]) ).

cnf(s1212,plain,
    ~ spl0_99,
    inference(rat,[],[s99,s1207]) ).

cnf(s1213,plain,
    ~ spl0_98,
    inference(rat,[],[s98,s1207]) ).

cnf(s1214,plain,
    ~ spl0_17,
    inference(rat,[],[s616,s1211,s1212,s1213]) ).

cnf(s1216,plain,
    ~ spl0_31,
    inference(rat,[],[s256,s88,s131,s132,s1203]) ).

cnf(s1218,plain,
    spl0_50,
    inference(rat,[],[s55,s1111,s1214,s1216]) ).

cnf(s1220,plain,
    spl0_140,
    inference(rat,[],[s140,s1218]) ).

cnf(s1221,plain,
    ~ spl0_101,
    inference(rat,[],[s101,s1218]) ).

cnf(s1222,plain,
    ~ spl0_100,
    inference(rat,[],[s100,s1218]) ).

cnf(s1228,plain,
    $false,
    inference(rat,[],[s949,s1220,s1180,s1221,s1222]) ).

fof(f3185,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1228]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN510-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20  % Computer : n016.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 16:25:33 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.66/1.00  % (3741764)Input is clausal, will run a generic CNF schedule.
% 0.66/1.00  % (3741773)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2402679928:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.66/1.00  % (3741773)First to succeed.
% 0.66/1.00  % (3741773)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3741764"
% 0.66/1.00  % (3741769)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1576499924:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.66/1.00  % (3741770)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2126409714:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.66/1.00  % (3741771)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3538579761:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.66/1.00  % (3741774)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2724505993:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.66/1.00  % (3741775)dis-21_1_sil=8000:lcm=predicate:random_seed=4020589201:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 0.66/1.00  % (3741772)lrs+10_1_sil=8000:sp=occurrence:random_seed=1266316857:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.66/1.00  % (3741775)Also succeeded, but the first one will report.
% 0.66/1.00  % (3741774)Also succeeded, but the first one will report.
% 0.66/1.00  % (3741772)Also succeeded, but the first one will report.
% 0.66/1.00  % (3741773)Refutation found. Thanks to Tanya!
% 0.66/1.00  % SZS status Unsatisfiable for theBenchmark
% 0.66/1.00  % SZS output start Proof for theBenchmark
% See solution above
% 2.85/1.19  % (3741773)------------------------------
% 2.85/1.19  % (3741773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.85/1.19  % (3741773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/1.19  % (3741773)CaDiCaL version: 2.1.3
% 2.85/1.19  % (3741773)Termination reason: Refutation
% 2.85/1.19  % (3741773)Time elapsed: 0.028 s
% 2.85/1.19  % (3741773)Peak memory usage: 90 MB
% 2.85/1.19  % (3741773)Instructions burned: 73 (million)
% 2.85/1.19  % (3741773)------------------------------
% 2.85/1.19  % (3741773)------------------------------
% 2.85/1.19  % (3741764)Success in time 0.315 s
% 2.85/1.19  % Vampire exiting
%------------------------------------------------------------------------------