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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN483-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n004.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 01:56:47 PM UTC 2026

% Result   : Unsatisfiable 0.65s 0.99s
% Output   : Refutation 2.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   42
%            Number of leaves      :  238
% Syntax   : Number of formulae    :  931 (  28 unt; 123 def)
%            Number of atoms       : 3127 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3971 (1775   ~;2073   |;   0   &)
%                                         ( 123 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  151 ( 150 usr; 147 prp; 0-1 aty)
%            Number of functors    :   22 (  22 usr;  22 con; 0-0 aty)
%            Number of variables   :  161 (   0 sgn 161   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( ~ hskp29
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f3,negated_conjecture,
    ( ~ hskp27
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

fof(f29,negated_conjecture,
    ( ~ hskp1
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).

fof(f31,negated_conjecture,
    ( hskp29
    | hskp27
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).

fof(f32,negated_conjecture,
    ( hskp8
    | hskp17
    | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f33,negated_conjecture,
    ( hskp8
    | hskp10
    | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f34,negated_conjecture,
    ( hskp18
    | hskp10
    | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f41,negated_conjecture,
    ( ~ hskp29
    | c0_1(a1885) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( ~ hskp29
    | c1_1(a1885) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f44,negated_conjecture,
    ( ~ hskp28
    | c1_1(a1878) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp28
    | c2_1(a1878) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp28
    | c3_1(a1878) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp27
    | c0_1(a1877) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp27
    | c2_1(a1877) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp27
    | c3_1(a1877) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( ~ hskp26
    | c0_1(a1858) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp26
    | c1_1(a1858) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp26
    | c3_1(a1858) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f55,negated_conjecture,
    ( ~ hskp24
    | c3_1(a1919) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( ~ hskp23
    | c0_1(a1911) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( ~ hskp22
    | c0_1(a1899) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( ~ hskp21
    | c3_1(a1898) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp20
    | c2_1(a1890) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp18
    | c0_1(a1875) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp18
    | c1_1(a1875) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp17
    | c0_1(a1874) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp17
    | c2_1(a1874) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp16
    | c2_1(a1872) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( ~ hskp16
    | c3_1(a1872) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( ~ hskp15
    | c1_1(a1870) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f70,negated_conjecture,
    ( ~ hskp10
    | c0_1(a1864) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp10
    | c3_1(a1864) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp9
    | c2_1(a1863) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp8
    | c0_1(a1862) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp8
    | c1_1(a1862) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp7
    | c0_1(a1861) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f77,negated_conjecture,
    ( ~ hskp5
    | c2_1(a1857) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f82,negated_conjecture,
    ( ~ hskp1
    | c1_1(a1853) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ hskp1
    | c3_1(a1853) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ hskp0
    | c1_1(a1852) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ hskp0
    | c3_1(a1852) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f87,negated_conjecture,
    ( ~ c1_1(a1919)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ c2_1(a1919)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ c1_1(a1911)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ c3_1(a1911)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( ~ c2_1(a1899)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ c3_1(a1899)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ c0_1(a1898)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ c1_1(a1898)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f96,negated_conjecture,
    ( ~ c1_1(a1890)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f100,negated_conjecture,
    ( ~ c3_1(a1875)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ c1_1(a1874)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ c0_1(a1872)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ c0_1(a1870)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ c3_1(a1870)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f106,negated_conjecture,
    ( ~ c1_1(a1867)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c2_1(a1867)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c3_1(a1867)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f114,negated_conjecture,
    ( ~ c1_1(a1864)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c1_1(a1863)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c3_1(a1863)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c2_1(a1862)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f119,negated_conjecture,
    ( ~ c2_1(a1861)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f122,negated_conjecture,
    ( ~ c0_1(a1857)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ c3_1(a1857)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f125,negated_conjecture,
    ( ~ c0_1(a1855)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ c1_1(a1855)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ c2_1(a1855)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f129,negated_conjecture,
    ( ~ c0_1(a1853)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ c2_1(a1852)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f134,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp27
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f135,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp8
      | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f136,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp22
      | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp8
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp16
      | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f144,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp29
      | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp26
      | hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f147,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp9
      | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp8
      | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f149,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp17
      | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f152,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp8
      | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f153,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp26
      | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f154,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp7
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f155,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp26
      | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f156,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp27
      | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f158,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp26
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f159,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp0
      | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f160,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp28
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f161,negated_conjecture,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f162,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f163,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f164,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f168,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f175,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f177,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f178,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c0_1(X1)
      | c2_1(X1)
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f180,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f184,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f185,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c0_1(X1)
      | hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f186,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c2_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

fof(f187,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c2_1(X1)
      | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

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

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

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

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

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

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

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

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

fof(f198,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f199,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f198]) ).

fof(f201,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f202,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f201]) ).

fof(f204,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f208,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f209,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f210,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f196,f208,f204,f201,f198]) ).

fof(f212,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f213,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f215,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f216,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f218,definition,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f219,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f220,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f195,f218,f204,f215,f212]) ).

fof(f222,definition,
    ( spl0_8
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f223,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f225,definition,
    ( spl0_9
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f226,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f227,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f194,f201,f204,f225,f222]) ).

fof(f229,definition,
    ( spl0_10
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f230,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c1_1(X2)
        | c2_1(X2) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f232,definition,
    ( spl0_11
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f233,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f235,definition,
    ( spl0_12
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f236,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f237,plain,
    ( spl0_10
    | spl0_11
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f193,f235,f204,f232,f229]) ).

fof(f238,plain,
    ( spl0_8
    | spl0_6
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f192,f229,f204,f215,f222]) ).

fof(f240,definition,
    ( spl0_13
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f241,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f243,definition,
    ( spl0_14
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f244,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f245,plain,
    ( spl0_13
    | spl0_5
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f191,f243,f204,f212,f240]) ).

fof(f247,definition,
    ( spl0_15
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f248,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f250,definition,
    ( spl0_16
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f251,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f253,definition,
    ( spl0_17
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f254,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f257,definition,
    ( spl0_18
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f258,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f259,plain,
    ( spl0_15
    | spl0_16
    | ~ spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f189,f257,f204,f250,f247]) ).

fof(f261,definition,
    ( spl0_19
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f262,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c1_1(X2)
        | c2_1(X2) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f263,plain,
    ( spl0_19
    | spl0_9
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f188,f229,f204,f225,f261]) ).

fof(f265,definition,
    ( spl0_20
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f269,definition,
    ( spl0_21
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f270,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f271,plain,
    ( spl0_20
    | spl0_2
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f187,f269,f204,f201,f265]) ).

fof(f273,definition,
    ( spl0_22
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f277,definition,
    ( spl0_23
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f278,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f279,plain,
    ( spl0_22
    | spl0_11
    | ~ spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f186,f277,f204,f232,f273]) ).

fof(f281,definition,
    ( spl0_24
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f284,plain,
    ( spl0_24
    | spl0_16
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f185,f218,f204,f250,f281]) ).

fof(f286,definition,
    ( spl0_25
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f289,plain,
    ( spl0_25
    | spl0_10
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f184,f208,f204,f229,f286]) ).

fof(f291,definition,
    ( spl0_26
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f294,plain,
    ( spl0_26
    | spl0_1
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f183,f269,f204,f198,f291]) ).

fof(f296,definition,
    ( spl0_27
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f299,plain,
    ( spl0_27
    | spl0_6
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f182,f232,f204,f215,f296]) ).

fof(f301,definition,
    ( spl0_28
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f305,definition,
    ( spl0_29
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f306,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f305]) ).

fof(f307,plain,
    ( spl0_28
    | spl0_29
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f181,f218,f204,f305,f301]) ).

fof(f309,definition,
    ( spl0_30
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f312,plain,
    ( spl0_30
    | spl0_8
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f180,f235,f204,f222,f309]) ).

fof(f313,plain,
    ( spl0_20
    | spl0_13
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f179,f232,f204,f240,f265]) ).

fof(f315,definition,
    ( spl0_31
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f319,definition,
    ( spl0_32
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f320,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f321,plain,
    ( spl0_31
    | spl0_32
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f178,f269,f204,f319,f315]) ).

fof(f323,definition,
    ( spl0_33
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f326,plain,
    ( spl0_33
    | spl0_29
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f177,f201,f204,f305,f323]) ).

fof(f327,plain,
    ( spl0_30
    | spl0_8
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f176,f212,f204,f222,f309]) ).

fof(f329,definition,
    ( spl0_34
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f332,plain,
    ( spl0_34
    | spl0_8
    | ~ spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f175,f305,f204,f222,f329]) ).

fof(f334,definition,
    ( spl0_35
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f335,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f336,plain,
    ( spl0_31
    | spl0_16
    | ~ spl0_3
    | spl0_35 ),
    inference(avatar_split_clause,[],[f174,f334,f204,f250,f315]) ).

fof(f342,definition,
    ( spl0_37
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f343,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f354,definition,
    ( spl0_40
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f359,definition,
    ( spl0_41
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f363,definition,
    ( spl0_42
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f364,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f372,definition,
    ( spl0_44
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f375,plain,
    ( spl0_44
    | spl0_35
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f168,f198,f204,f334,f372]) ).

fof(f380,definition,
    ( spl0_46
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f381,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f384,definition,
    ( spl0_47
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f388,definition,
    ( spl0_48
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f389,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f392,plain,
    ( spl0_40
    | spl0_42
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f164,f198,f204,f363,f354]) ).

fof(f394,definition,
    ( spl0_49
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f397,plain,
    ( spl0_49
    | spl0_15
    | ~ spl0_3
    | spl0_35 ),
    inference(avatar_split_clause,[],[f163,f334,f204,f247,f394]) ).

fof(f399,definition,
    ( spl0_50
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f403,definition,
    ( spl0_51
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f404,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f405,plain,
    ( spl0_50
    | spl0_15
    | ~ spl0_3
    | spl0_51 ),
    inference(avatar_split_clause,[],[f162,f403,f204,f247,f399]) ).

fof(f407,definition,
    ( spl0_52
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f410,plain,
    ( spl0_52
    | spl0_42
    | spl0_19
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f161,f204,f261,f363,f407]) ).

fof(f412,definition,
    ( spl0_53
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f415,plain,
    ( spl0_50
    | spl0_53
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f160,f269,f204,f412,f399]) ).

fof(f416,plain,
    ( spl0_26
    | spl0_50
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f159,f218,f204,f399,f291]) ).

fof(f417,plain,
    ( spl0_40
    | spl0_52
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f158,f218,f204,f407,f354]) ).

fof(f424,definition,
    ( spl0_55
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f427,plain,
    ( spl0_55
    | spl0_30
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f156,f253,f204,f309,f424]) ).

fof(f428,plain,
    ( spl0_22
    | spl0_52
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f155,f232,f204,f407,f273]) ).

fof(f429,plain,
    ( spl0_49
    | spl0_41
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f154,f225,f204,f359,f394]) ).

fof(f431,definition,
    ( spl0_56
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f434,plain,
    ( spl0_56
    | spl0_52
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f153,f225,f204,f407,f431]) ).

fof(f435,plain,
    ( spl0_27
    | spl0_31
    | ~ spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f152,f257,f204,f315,f296]) ).

fof(f438,plain,
    ( spl0_34
    | spl0_47
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f149,f229,f204,f384,f329]) ).

fof(f439,plain,
    ( spl0_56
    | spl0_31
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f148,f212,f204,f315,f431]) ).

fof(f441,definition,
    ( spl0_57
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f444,plain,
    ( spl0_57
    | spl0_44
    | ~ spl0_3
    | spl0_35 ),
    inference(avatar_split_clause,[],[f147,f334,f204,f372,f441]) ).

fof(f446,plain,
    ( spl0_30
    | spl0_52
    | ~ spl0_3
    | spl0_46 ),
    inference(avatar_split_clause,[],[f145,f380,f204,f407,f309]) ).

fof(f447,plain,
    ( spl0_52
    | spl0_24
    | ~ spl0_3
    | spl0_37 ),
    inference(avatar_split_clause,[],[f144,f342,f204,f281,f407]) ).

fof(f450,definition,
    ( spl0_58
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f451,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f452,plain,
    ( spl0_57
    | spl0_20
    | ~ spl0_3
    | spl0_58 ),
    inference(avatar_split_clause,[],[f142,f450,f204,f265,f441]) ).

fof(f465,plain,
    ( spl0_44
    | spl0_31
    | ~ spl0_3
    | spl0_51 ),
    inference(avatar_split_clause,[],[f137,f403,f204,f315,f372]) ).

fof(f466,plain,
    ( spl0_20
    | spl0_55
    | spl0_19
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f136,f204,f261,f424,f265]) ).

fof(f467,plain,
    ( spl0_28
    | spl0_31
    | spl0_19
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f135,f204,f261,f315,f301]) ).

fof(f468,plain,
    ( spl0_53
    | spl0_30
    | spl0_48
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f134,f204,f388,f309,f412]) ).

fof(f477,definition,
    ( spl0_62
  <=> c2_1(a1852) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f480,plain,
    ( ~ spl0_50
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f130,f477,f399]) ).

fof(f482,definition,
    ( spl0_63
  <=> c0_1(a1853) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f484,plain,
    ( ~ c0_1(a1853)
    | spl0_63 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f485,plain,
    ( ~ spl0_49
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f129,f482,f394]) ).

fof(f492,definition,
    ( spl0_65
  <=> c2_1(a1855) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f494,plain,
    ( ~ c2_1(a1855)
    | spl0_65 ),
    inference(avatar_component_clause,[],[f492]) ).

fof(f495,plain,
    ( ~ spl0_40
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f127,f492,f354]) ).

fof(f497,definition,
    ( spl0_66
  <=> c1_1(a1855) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f499,plain,
    ( ~ c1_1(a1855)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f500,plain,
    ( ~ spl0_40
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f126,f497,f354]) ).

fof(f502,definition,
    ( spl0_67
  <=> c0_1(a1855) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f505,plain,
    ( ~ spl0_40
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f125,f502,f354]) ).

fof(f512,definition,
    ( spl0_69
  <=> c3_1(a1857) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f514,plain,
    ( ~ c3_1(a1857)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f515,plain,
    ( ~ spl0_33
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f123,f512,f323]) ).

fof(f517,definition,
    ( spl0_70
  <=> c0_1(a1857) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f519,plain,
    ( ~ c0_1(a1857)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f520,plain,
    ( ~ spl0_33
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f122,f517,f323]) ).

fof(f532,definition,
    ( spl0_73
  <=> c2_1(a1861) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f535,plain,
    ( ~ spl0_41
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f119,f532,f359]) ).

fof(f542,definition,
    ( spl0_75
  <=> c2_1(a1862) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f544,plain,
    ( ~ c2_1(a1862)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f545,plain,
    ( ~ spl0_31
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f117,f542,f315]) ).

fof(f547,definition,
    ( spl0_76
  <=> c3_1(a1863) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f550,plain,
    ( ~ spl0_44
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f116,f547,f372]) ).

fof(f552,definition,
    ( spl0_77
  <=> c1_1(a1863) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f554,plain,
    ( ~ c1_1(a1863)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f555,plain,
    ( ~ spl0_44
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f115,f552,f372]) ).

fof(f557,definition,
    ( spl0_78
  <=> c1_1(a1864) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f560,plain,
    ( ~ spl0_22
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f114,f557,f273]) ).

fof(f587,definition,
    ( spl0_84
  <=> c3_1(a1867) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f589,plain,
    ( ~ c3_1(a1867)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f590,plain,
    ( ~ spl0_57
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f108,f587,f441]) ).

fof(f592,definition,
    ( spl0_85
  <=> c2_1(a1867) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f595,plain,
    ( ~ spl0_57
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f107,f592,f441]) ).

fof(f597,definition,
    ( spl0_86
  <=> c1_1(a1867) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f600,plain,
    ( ~ spl0_57
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f106,f597,f441]) ).

fof(f607,definition,
    ( spl0_88
  <=> c3_1(a1870) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f609,plain,
    ( ~ c3_1(a1870)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f610,plain,
    ( ~ spl0_34
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f104,f607,f329]) ).

fof(f612,definition,
    ( spl0_89
  <=> c0_1(a1870) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f614,plain,
    ( ~ c0_1(a1870)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f615,plain,
    ( ~ spl0_34
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f103,f612,f329]) ).

fof(f617,definition,
    ( spl0_90
  <=> c0_1(a1872) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f619,plain,
    ( ~ c0_1(a1872)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f620,plain,
    ( ~ spl0_20
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f102,f617,f265]) ).

fof(f622,definition,
    ( spl0_91
  <=> c1_1(a1874) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f624,plain,
    ( ~ c1_1(a1874)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f625,plain,
    ( ~ spl0_47
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f101,f622,f384]) ).

fof(f627,definition,
    ( spl0_92
  <=> c3_1(a1875) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f629,plain,
    ( ~ c3_1(a1875)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f630,plain,
    ( ~ spl0_27
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f100,f627,f296]) ).

fof(f647,definition,
    ( spl0_96
  <=> c1_1(a1890) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f649,plain,
    ( ~ c1_1(a1890)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f650,plain,
    ( ~ spl0_25
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f96,f647,f286]) ).

fof(f657,definition,
    ( spl0_98
  <=> c1_1(a1898) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f659,plain,
    ( ~ c1_1(a1898)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f660,plain,
    ( ~ spl0_28
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f94,f657,f301]) ).

fof(f662,definition,
    ( spl0_99
  <=> c0_1(a1898) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f664,plain,
    ( ~ c0_1(a1898)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f665,plain,
    ( ~ spl0_28
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f93,f662,f301]) ).

fof(f667,definition,
    ( spl0_100
  <=> c3_1(a1899) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f669,plain,
    ( ~ c3_1(a1899)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f670,plain,
    ( ~ spl0_55
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f92,f667,f424]) ).

fof(f672,definition,
    ( spl0_101
  <=> c2_1(a1899) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f674,plain,
    ( ~ c2_1(a1899)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f675,plain,
    ( ~ spl0_55
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f91,f672,f424]) ).

fof(f677,definition,
    ( spl0_102
  <=> c3_1(a1911) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f679,plain,
    ( ~ c3_1(a1911)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f680,plain,
    ( ~ spl0_56
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f90,f677,f431]) ).

fof(f682,definition,
    ( spl0_103
  <=> c1_1(a1911) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f685,plain,
    ( ~ spl0_56
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f89,f682,f431]) ).

fof(f687,definition,
    ( spl0_104
  <=> c2_1(a1919) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f689,plain,
    ( ~ c2_1(a1919)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f690,plain,
    ( ~ spl0_26
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f88,f687,f291]) ).

fof(f692,definition,
    ( spl0_105
  <=> c1_1(a1919) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f695,plain,
    ( ~ spl0_26
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f87,f692,f291]) ).

fof(f706,definition,
    ( spl0_108
  <=> c3_1(a1852) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f708,plain,
    ( c3_1(a1852)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f709,plain,
    ( spl0_108
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f85,f399,f706]) ).

fof(f711,definition,
    ( spl0_109
  <=> c1_1(a1852) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f713,plain,
    ( c1_1(a1852)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f714,plain,
    ( spl0_109
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f84,f399,f711]) ).

fof(f716,definition,
    ( spl0_110
  <=> c3_1(a1853) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f718,plain,
    ( c3_1(a1853)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f719,plain,
    ( spl0_110
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f83,f394,f716]) ).

fof(f721,definition,
    ( spl0_111
  <=> c1_1(a1853) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f723,plain,
    ( c1_1(a1853)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f724,plain,
    ( spl0_111
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f82,f394,f721]) ).

fof(f746,definition,
    ( spl0_116
  <=> c2_1(a1857) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f748,plain,
    ( c2_1(a1857)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f749,plain,
    ( spl0_116
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f77,f323,f746]) ).

fof(f756,definition,
    ( spl0_118
  <=> c0_1(a1861) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f758,plain,
    ( c0_1(a1861)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f759,plain,
    ( spl0_118
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f75,f359,f756]) ).

fof(f761,definition,
    ( spl0_119
  <=> c1_1(a1862) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f763,plain,
    ( c1_1(a1862)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f764,plain,
    ( spl0_119
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f74,f315,f761]) ).

fof(f766,definition,
    ( spl0_120
  <=> c0_1(a1862) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f768,plain,
    ( c0_1(a1862)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f766]) ).

fof(f769,plain,
    ( spl0_120
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f73,f315,f766]) ).

fof(f771,definition,
    ( spl0_121
  <=> c2_1(a1863) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f773,plain,
    ( c2_1(a1863)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f774,plain,
    ( spl0_121
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f72,f372,f771]) ).

fof(f776,definition,
    ( spl0_122
  <=> c3_1(a1864) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f778,plain,
    ( c3_1(a1864)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f779,plain,
    ( spl0_122
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f71,f273,f776]) ).

fof(f781,definition,
    ( spl0_123
  <=> c0_1(a1864) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f783,plain,
    ( c0_1(a1864)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f781]) ).

fof(f784,plain,
    ( spl0_123
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f70,f273,f781]) ).

fof(f801,definition,
    ( spl0_127
  <=> c1_1(a1870) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f803,plain,
    ( c1_1(a1870)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f804,plain,
    ( spl0_127
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f66,f329,f801]) ).

fof(f806,definition,
    ( spl0_128
  <=> c3_1(a1872) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f808,plain,
    ( c3_1(a1872)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f809,plain,
    ( spl0_128
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f65,f265,f806]) ).

fof(f811,definition,
    ( spl0_129
  <=> c2_1(a1872) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f813,plain,
    ( c2_1(a1872)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f814,plain,
    ( spl0_129
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f64,f265,f811]) ).

fof(f816,definition,
    ( spl0_130
  <=> c2_1(a1874) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f818,plain,
    ( c2_1(a1874)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f819,plain,
    ( spl0_130
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f63,f384,f816]) ).

fof(f821,definition,
    ( spl0_131
  <=> c0_1(a1874) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f823,plain,
    ( c0_1(a1874)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f824,plain,
    ( spl0_131
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f62,f384,f821]) ).

fof(f826,definition,
    ( spl0_132
  <=> c1_1(a1875) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f828,plain,
    ( c1_1(a1875)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f829,plain,
    ( spl0_132
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f61,f296,f826]) ).

fof(f831,definition,
    ( spl0_133
  <=> c0_1(a1875) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f833,plain,
    ( c0_1(a1875)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f834,plain,
    ( spl0_133
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f60,f296,f831]) ).

fof(f836,definition,
    ( spl0_134
  <=> c2_1(a1890) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f838,plain,
    ( c2_1(a1890)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f839,plain,
    ( spl0_134
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f59,f286,f836]) ).

fof(f841,definition,
    ( spl0_135
  <=> c3_1(a1898) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f843,plain,
    ( c3_1(a1898)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f841]) ).

fof(f844,plain,
    ( spl0_135
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f58,f301,f841]) ).

fof(f846,definition,
    ( spl0_136
  <=> c0_1(a1899) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f848,plain,
    ( c0_1(a1899)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f846]) ).

fof(f849,plain,
    ( spl0_136
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f57,f424,f846]) ).

fof(f851,definition,
    ( spl0_137
  <=> c0_1(a1911) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f853,plain,
    ( c0_1(a1911)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f854,plain,
    ( spl0_137
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f56,f431,f851]) ).

fof(f856,definition,
    ( spl0_138
  <=> c3_1(a1919) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f859,plain,
    ( spl0_138
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f55,f291,f856]) ).

fof(f871,definition,
    ( spl0_141
  <=> c3_1(a1858) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f873,plain,
    ( c3_1(a1858)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f874,plain,
    ( spl0_141
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f52,f407,f871]) ).

fof(f876,definition,
    ( spl0_142
  <=> c1_1(a1858) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f878,plain,
    ( c1_1(a1858)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f879,plain,
    ( spl0_142
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f51,f407,f876]) ).

fof(f881,definition,
    ( spl0_143
  <=> c0_1(a1858) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f883,plain,
    ( c0_1(a1858)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f884,plain,
    ( spl0_143
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f50,f407,f881]) ).

fof(f886,definition,
    ( spl0_144
  <=> c3_1(a1877) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f888,plain,
    ( c3_1(a1877)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f889,plain,
    ( spl0_144
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f49,f309,f886]) ).

fof(f891,definition,
    ( spl0_145
  <=> c2_1(a1877) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f893,plain,
    ( c2_1(a1877)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f894,plain,
    ( spl0_145
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f48,f309,f891]) ).

fof(f896,definition,
    ( spl0_146
  <=> c0_1(a1877) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f898,plain,
    ( c0_1(a1877)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f896]) ).

fof(f899,plain,
    ( spl0_146
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f47,f309,f896]) ).

fof(f901,definition,
    ( spl0_147
  <=> c3_1(a1878) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f903,plain,
    ( c3_1(a1878)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f904,plain,
    ( spl0_147
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f46,f412,f901]) ).

fof(f906,definition,
    ( spl0_148
  <=> c2_1(a1878) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f908,plain,
    ( c2_1(a1878)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f909,plain,
    ( spl0_148
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f45,f412,f906]) ).

fof(f911,definition,
    ( spl0_149
  <=> c1_1(a1878) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f913,plain,
    ( c1_1(a1878)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f914,plain,
    ( spl0_149
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f44,f412,f911]) ).

fof(f921,definition,
    ( spl0_151
  <=> c1_1(a1885) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f923,plain,
    ( c1_1(a1885)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f921]) ).

fof(f924,plain,
    ( spl0_151
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f42,f281,f921]) ).

fof(f926,definition,
    ( spl0_152
  <=> c0_1(a1885) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f928,plain,
    ( c0_1(a1885)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f926]) ).

fof(f929,plain,
    ( spl0_152
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f41,f281,f926]) ).

fof(f936,plain,
    ( spl0_34
    | spl0_22
    | spl0_27 ),
    inference(avatar_split_clause,[],[f34,f296,f273,f329]) ).

fof(f937,plain,
    ( spl0_26
    | spl0_22
    | spl0_31 ),
    inference(avatar_split_clause,[],[f33,f315,f273,f291]) ).

fof(f938,plain,
    ( spl0_20
    | spl0_47
    | spl0_31 ),
    inference(avatar_split_clause,[],[f32,f315,f384,f265]) ).

fof(f939,plain,
    ( spl0_49
    | spl0_30
    | spl0_24 ),
    inference(avatar_split_clause,[],[f31,f281,f309,f394]) ).

fof(f941,plain,
    ( spl0_3
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f29,f394,f204]) ).

fof(f967,plain,
    ( spl0_3
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f3,f309,f204]) ).

fof(f969,plain,
    ( spl0_3
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f1,f281,f204]) ).

fof(f970,plain,
    ( c2_1(a1853)
    | ~ c3_1(a1853)
    | ~ spl0_2
    | ~ spl0_111 ),
    inference(resolution,[],[f202,f723]) ).

fof(f971,plain,
    ( c2_1(a1862)
    | ~ c3_1(a1862)
    | ~ spl0_2
    | ~ spl0_119 ),
    inference(resolution,[],[f202,f763]) ).

fof(f972,plain,
    ( ~ c3_1(a1862)
    | ~ spl0_2
    | spl0_75
    | ~ spl0_119 ),
    inference(forward_subsumption_resolution,[],[f971,f544]) ).

fof(f973,plain,
    ( c2_1(a1853)
    | ~ spl0_2
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(forward_subsumption_resolution,[],[f970,f718]) ).

fof(f975,plain,
    ( c3_1(a1863)
    | c1_1(a1863)
    | ~ spl0_5
    | ~ spl0_121 ),
    inference(resolution,[],[f213,f773]) ).

fof(f995,plain,
    ( c1_1(a1864)
    | ~ c3_1(a1864)
    | ~ spl0_9
    | ~ spl0_123 ),
    inference(resolution,[],[f226,f783]) ).

fof(f1000,plain,
    ( c2_1(a1852)
    | ~ c3_1(a1852)
    | ~ spl0_2
    | ~ spl0_109 ),
    inference(resolution,[],[f713,f202]) ).

fof(f1007,plain,
    ( ~ c1_1(a1870)
    | c2_1(a1870)
    | ~ spl0_10
    | spl0_88 ),
    inference(resolution,[],[f230,f609]) ).

fof(f1013,plain,
    ( c2_1(a1870)
    | ~ spl0_10
    | spl0_88
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f1007,f803]) ).

fof(f1014,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f233,f219]) ).

fof(f1023,definition,
    ( spl0_153
  <=> c3_1(a1862) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1024,plain,
    ( c3_1(a1862)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1023]) ).

fof(f1025,plain,
    ( ~ c3_1(a1862)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f1023]) ).

fof(f1030,plain,
    ( ~ c1_1(a1862)
    | c2_1(a1862)
    | ~ spl0_10
    | spl0_153 ),
    inference(resolution,[],[f1025,f230]) ).

fof(f1047,plain,
    ( c0_1(a1855)
    | c1_1(a1855)
    | ~ spl0_15
    | spl0_65 ),
    inference(resolution,[],[f248,f494]) ).

fof(f1061,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c2_1(X2) )
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f262,f230]) ).

fof(f1074,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f216,f213]) ).

fof(f1075,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_5
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f262,f213]) ).

fof(f1094,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f209,f226]) ).

fof(f1096,plain,
    ( spl0_75
    | ~ spl0_119
    | ~ spl0_10
    | spl0_153 ),
    inference(avatar_split_clause,[],[f1030,f1023,f229,f761,f542]) ).

fof(f1106,definition,
    ( spl0_154
  <=> c3_1(a1885) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1127,plain,
    ( c2_1(a1862)
    | ~ c1_1(a1862)
    | ~ spl0_11
    | ~ spl0_120 ),
    inference(resolution,[],[f233,f768]) ).

fof(f1131,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f236,f1094]) ).

fof(f1133,plain,
    ( ~ c1_1(a1875)
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_133 ),
    inference(resolution,[],[f1131,f833]) ).

fof(f1134,plain,
    ( ~ c1_1(a1885)
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_152 ),
    inference(resolution,[],[f1131,f928]) ).

fof(f1135,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(forward_subsumption_resolution,[],[f1134,f923]) ).

fof(f1136,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f1135]) ).

fof(f1137,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f1133,f828]) ).

fof(f1138,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f1137]) ).

fof(f1157,plain,
    ( c3_1(a1862)
    | ~ c1_1(a1862)
    | ~ spl0_12
    | ~ spl0_120 ),
    inference(resolution,[],[f236,f768]) ).

fof(f1158,plain,
    ( c3_1(a1875)
    | ~ c1_1(a1875)
    | ~ spl0_12
    | ~ spl0_133 ),
    inference(resolution,[],[f236,f833]) ).

fof(f1159,plain,
    ( c3_1(a1885)
    | ~ c1_1(a1885)
    | ~ spl0_12
    | ~ spl0_152 ),
    inference(resolution,[],[f236,f928]) ).

fof(f1161,plain,
    ( ~ c1_1(a1875)
    | ~ spl0_12
    | spl0_92
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f1158,f629]) ).

fof(f1165,plain,
    ( $false
    | ~ spl0_12
    | spl0_92
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f1161,f828]) ).

fof(f1166,plain,
    ( ~ spl0_12
    | spl0_92
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f1165]) ).

fof(f1169,plain,
    ( c3_1(a1885)
    | ~ spl0_12
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(forward_subsumption_resolution,[],[f1159,f923]) ).

fof(f1170,plain,
    ( spl0_154
    | ~ spl0_12
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1169,f926,f921,f235,f1106]) ).

fof(f1173,definition,
    ( spl0_155
  <=> c1_1(a1899) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1175,plain,
    ( ~ c1_1(a1899)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f1173]) ).

fof(f1178,plain,
    ( c3_1(a1899)
    | c2_1(a1899)
    | ~ spl0_1
    | ~ spl0_136 ),
    inference(resolution,[],[f848,f199]) ).

fof(f1182,plain,
    ( c2_1(a1899)
    | ~ spl0_1
    | spl0_100
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[],[f1178,f669]) ).

fof(f1188,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f254,f199]) ).

fof(f1192,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_1
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f270,f1188]) ).

fof(f1209,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_11
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[],[f320,f233]) ).

fof(f1217,plain,
    ( c2_1(a1852)
    | ~ spl0_11
    | ~ spl0_32
    | ~ spl0_109 ),
    inference(resolution,[],[f1209,f713]) ).

fof(f1220,plain,
    ( spl0_62
    | ~ spl0_11
    | ~ spl0_32
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1217,f711,f319,f232,f477]) ).

fof(f1262,plain,
    ( c3_1(a1862)
    | ~ spl0_12
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f1157,f763]) ).

fof(f1264,plain,
    ( spl0_153
    | ~ spl0_12
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1262,f766,f761,f235,f1023]) ).

fof(f1277,plain,
    ( ~ c3_1(a1919)
    | c1_1(a1919)
    | ~ spl0_35
    | spl0_104 ),
    inference(resolution,[],[f335,f689]) ).

fof(f1341,plain,
    ( c0_1(a1870)
    | ~ c1_1(a1870)
    | ~ spl0_10
    | ~ spl0_16
    | spl0_88
    | ~ spl0_127 ),
    inference(resolution,[],[f251,f1013]) ).

fof(f1346,plain,
    ( ~ c1_1(a1870)
    | ~ spl0_10
    | ~ spl0_16
    | spl0_88
    | spl0_89
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f1341,f614]) ).

fof(f1353,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_16
    | spl0_88
    | spl0_89
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f1346,f803]) ).

fof(f1354,plain,
    ( ~ spl0_10
    | ~ spl0_16
    | spl0_88
    | spl0_89
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f1353]) ).

fof(f1369,plain,
    ( ~ spl0_153
    | ~ spl0_2
    | spl0_75
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f972,f761,f542,f201,f1023]) ).

fof(f1383,plain,
    ( c1_1(a1890)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_134 ),
    inference(resolution,[],[f1074,f838]) ).

fof(f1389,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6
    | spl0_96
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f1383,f649]) ).

fof(f1390,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | spl0_96
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f1389]) ).

fof(f1405,definition,
    ( spl0_157
  <=> c1_1(a1877) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1406,plain,
    ( c1_1(a1877)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1405]) ).

fof(f1410,plain,
    ( c1_1(a1877)
    | ~ c3_1(a1877)
    | ~ spl0_9
    | ~ spl0_146 ),
    inference(resolution,[],[f898,f226]) ).

fof(f1421,plain,
    ( c1_1(a1867)
    | ~ spl0_5
    | ~ spl0_19
    | spl0_84 ),
    inference(resolution,[],[f1075,f589]) ).

fof(f1461,plain,
    ( c0_1(a1898)
    | ~ c2_1(a1898)
    | ~ spl0_8
    | ~ spl0_135 ),
    inference(resolution,[],[f223,f843]) ).

fof(f1463,plain,
    ( c0_1(a1872)
    | ~ c2_1(a1872)
    | ~ spl0_8
    | ~ spl0_128 ),
    inference(resolution,[],[f223,f808]) ).

fof(f1477,plain,
    ( ~ c2_1(a1898)
    | ~ spl0_8
    | spl0_99
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f1461,f664]) ).

fof(f1496,plain,
    ( ~ c3_1(a1877)
    | ~ c2_1(a1877)
    | ~ spl0_21
    | ~ spl0_146 ),
    inference(resolution,[],[f270,f898]) ).

fof(f1498,plain,
    ( ~ c2_1(a1877)
    | ~ spl0_21
    | ~ spl0_144
    | ~ spl0_146 ),
    inference(forward_subsumption_resolution,[],[f1496,f888]) ).

fof(f1517,plain,
    ( c2_1(a1862)
    | ~ spl0_11
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f1127,f763]) ).

fof(f1522,plain,
    ( spl0_75
    | ~ spl0_11
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1517,f766,f761,f232,f542]) ).

fof(f1523,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f202,f230]) ).

fof(f1558,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f244,f199]) ).

fof(f1589,plain,
    ( c0_1(a1853)
    | ~ c1_1(a1853)
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(resolution,[],[f973,f251]) ).

fof(f1616,plain,
    ( ~ c0_1(a1911)
    | ~ spl0_1
    | ~ spl0_14
    | spl0_102 ),
    inference(resolution,[],[f1558,f679]) ).

fof(f1627,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_14
    | spl0_102
    | ~ spl0_137 ),
    inference(forward_subsumption_resolution,[],[f1616,f853]) ).

fof(f1628,plain,
    ( ~ spl0_1
    | ~ spl0_14
    | spl0_102
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f1627]) ).

fof(f1682,plain,
    ( c1_1(a1877)
    | ~ c2_1(a1877)
    | ~ spl0_18
    | ~ spl0_146 ),
    inference(resolution,[],[f258,f898]) ).

fof(f1685,plain,
    ( c1_1(a1911)
    | ~ c2_1(a1911)
    | ~ spl0_18
    | ~ spl0_137 ),
    inference(resolution,[],[f258,f853]) ).

fof(f1698,plain,
    ( ~ c0_1(a1911)
    | c1_1(a1911)
    | ~ spl0_29
    | spl0_102 ),
    inference(resolution,[],[f306,f679]) ).

fof(f1699,plain,
    ( ~ c0_1(a1899)
    | c1_1(a1899)
    | ~ spl0_29
    | spl0_100 ),
    inference(resolution,[],[f306,f669]) ).

fof(f1707,plain,
    ( c1_1(a1911)
    | ~ spl0_29
    | spl0_102
    | ~ spl0_137 ),
    inference(forward_subsumption_resolution,[],[f1698,f853]) ).

fof(f1714,plain,
    ( c0_1(a1872)
    | ~ spl0_8
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f1463,f813]) ).

fof(f1719,plain,
    ( spl0_90
    | ~ spl0_8
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1714,f811,f806,f222,f617]) ).

fof(f1729,plain,
    ( c1_1(a1874)
    | ~ c2_1(a1874)
    | ~ spl0_18
    | ~ spl0_131 ),
    inference(resolution,[],[f823,f258]) ).

fof(f1730,plain,
    ( ~ c2_1(a1874)
    | ~ spl0_18
    | spl0_91
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f1729,f624]) ).

fof(f1731,plain,
    ( $false
    | ~ spl0_18
    | spl0_91
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f1730,f818]) ).

fof(f1732,plain,
    ( ~ spl0_18
    | spl0_91
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f1731]) ).

fof(f1830,plain,
    ( spl0_105
    | ~ spl0_138
    | ~ spl0_35
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1277,f687,f334,f856,f692]) ).

fof(f1853,plain,
    ( ~ c1_1(a1885)
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_152 ),
    inference(resolution,[],[f1014,f928]) ).

fof(f1855,plain,
    ( ~ c1_1(a1858)
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_143 ),
    inference(resolution,[],[f1014,f883]) ).

fof(f1857,plain,
    ( ~ c1_1(a1875)
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_133 ),
    inference(resolution,[],[f1014,f833]) ).

fof(f1873,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f1857,f828]) ).

fof(f1874,plain,
    ( ~ spl0_7
    | ~ spl0_11
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f1873]) ).

fof(f1875,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(forward_subsumption_resolution,[],[f1855,f878]) ).

fof(f1876,plain,
    ( ~ spl0_7
    | ~ spl0_11
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f1875]) ).

fof(f1878,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(forward_subsumption_resolution,[],[f1853,f923]) ).

fof(f1879,plain,
    ( ~ spl0_7
    | ~ spl0_11
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f1878]) ).

fof(f1881,plain,
    ( c3_1(a1863)
    | ~ spl0_5
    | spl0_77
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f975,f554]) ).

fof(f1891,plain,
    ( ~ spl0_145
    | spl0_157
    | ~ spl0_18
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1682,f896,f257,f1405,f891]) ).

fof(f1897,plain,
    ( ~ spl0_145
    | ~ spl0_21
    | ~ spl0_144
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1498,f896,f886,f269,f891]) ).

fof(f1905,plain,
    ( spl0_76
    | ~ spl0_5
    | spl0_77
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1881,f771,f552,f212,f547]) ).

fof(f1989,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[],[f343,f1014]) ).

fof(f1997,plain,
    ( c3_1(a1870)
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_37
    | ~ spl0_127 ),
    inference(resolution,[],[f1989,f803]) ).

fof(f2007,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_37
    | spl0_88
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f1997,f609]) ).

fof(f2008,plain,
    ( ~ spl0_7
    | ~ spl0_11
    | ~ spl0_37
    | spl0_88
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f2007]) ).

fof(f2025,definition,
    ( spl0_163
  <=> c0_1(a1878) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f2031,plain,
    ( ~ c1_1(a1853)
    | ~ spl0_2
    | ~ spl0_16
    | spl0_63
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(forward_subsumption_resolution,[],[f1589,f484]) ).

fof(f2041,plain,
    ( spl0_103
    | ~ spl0_29
    | spl0_102
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1707,f851,f677,f305,f682]) ).

fof(f2059,definition,
    ( spl0_166
  <=> c2_1(a1911) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f2063,plain,
    ( ~ spl0_166
    | spl0_103
    | ~ spl0_18
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1685,f851,f257,f682,f2059]) ).

fof(f2074,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_16
    | spl0_63
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(forward_subsumption_resolution,[],[f2031,f723]) ).

fof(f2075,plain,
    ( ~ spl0_2
    | ~ spl0_16
    | spl0_63
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(avatar_contradiction_clause,[],[f2074]) ).

fof(f2106,definition,
    ( spl0_168
  <=> c1_1(a1872) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f2153,plain,
    ( ~ c3_1(a1858)
    | ~ spl0_1
    | ~ spl0_17
    | ~ spl0_21
    | ~ spl0_143 ),
    inference(resolution,[],[f1192,f883]) ).

fof(f2159,plain,
    ( ~ c3_1(a1864)
    | ~ spl0_1
    | ~ spl0_17
    | ~ spl0_21
    | ~ spl0_123 ),
    inference(resolution,[],[f1192,f783]) ).

fof(f2162,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_17
    | ~ spl0_21
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(forward_subsumption_resolution,[],[f2159,f778]) ).

fof(f2163,plain,
    ( ~ spl0_1
    | ~ spl0_17
    | ~ spl0_21
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(avatar_contradiction_clause,[],[f2162]) ).

fof(f2167,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_17
    | ~ spl0_21
    | ~ spl0_141
    | ~ spl0_143 ),
    inference(forward_subsumption_resolution,[],[f2153,f873]) ).

fof(f2168,plain,
    ( ~ spl0_1
    | ~ spl0_17
    | ~ spl0_21
    | ~ spl0_141
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f2167]) ).

fof(f2170,plain,
    ( c2_1(a1899)
    | ~ c1_1(a1899)
    | ~ spl0_11
    | ~ spl0_136 ),
    inference(resolution,[],[f848,f233]) ).

fof(f2171,plain,
    ( ~ c3_1(a1858)
    | ~ c0_1(a1858)
    | ~ spl0_4
    | ~ spl0_142 ),
    inference(resolution,[],[f209,f878]) ).

fof(f2204,plain,
    ( c1_1(a1872)
    | ~ c3_1(a1872)
    | ~ spl0_6
    | ~ spl0_129 ),
    inference(resolution,[],[f216,f813]) ).

fof(f2226,plain,
    ( c0_1(a1872)
    | ~ c1_1(a1872)
    | ~ spl0_13
    | ~ spl0_128 ),
    inference(resolution,[],[f241,f808]) ).

fof(f2262,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(resolution,[],[f248,f216]) ).

fof(f2267,plain,
    ( c0_1(a1898)
    | c1_1(a1898)
    | ~ spl0_8
    | ~ spl0_15
    | spl0_99
    | ~ spl0_135 ),
    inference(resolution,[],[f248,f1477]) ).

fof(f2277,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f2262]) ).

fof(f2283,plain,
    ( c1_1(a1898)
    | ~ spl0_8
    | ~ spl0_15
    | spl0_99
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f2267,f664]) ).

fof(f2287,plain,
    ( spl0_58
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f2277,f247,f215,f450]) ).

fof(f2290,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_15
    | spl0_98
    | spl0_99
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f2283,f659]) ).

fof(f2291,plain,
    ( ~ spl0_8
    | ~ spl0_15
    | spl0_98
    | spl0_99
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f2290]) ).

fof(f2309,plain,
    ( ~ c3_1(a1885)
    | ~ c0_1(a1885)
    | ~ spl0_4
    | ~ spl0_151 ),
    inference(resolution,[],[f209,f923]) ).

fof(f2314,plain,
    ( ~ c3_1(a1852)
    | ~ c0_1(a1852)
    | ~ spl0_4
    | ~ spl0_109 ),
    inference(resolution,[],[f209,f713]) ).

fof(f2321,plain,
    ( c0_1(a1872)
    | ~ c1_1(a1872)
    | ~ spl0_16
    | ~ spl0_129 ),
    inference(resolution,[],[f251,f813]) ).

fof(f2328,plain,
    ( c1_1(a1911)
    | c2_1(a1911)
    | ~ spl0_19
    | spl0_102 ),
    inference(resolution,[],[f262,f679]) ).

fof(f2329,plain,
    ( c1_1(a1899)
    | c2_1(a1899)
    | ~ spl0_19
    | spl0_100 ),
    inference(resolution,[],[f262,f669]) ).

fof(f2339,plain,
    ( c1_1(a1867)
    | c2_1(a1867)
    | ~ spl0_19
    | spl0_84 ),
    inference(resolution,[],[f262,f589]) ).

fof(f2345,plain,
    ( c2_1(a1899)
    | ~ spl0_19
    | spl0_100
    | spl0_155 ),
    inference(forward_subsumption_resolution,[],[f2329,f1175]) ).

fof(f2355,plain,
    ( $false
    | ~ spl0_19
    | spl0_100
    | spl0_101
    | spl0_155 ),
    inference(forward_subsumption_resolution,[],[f2345,f674]) ).

fof(f2356,plain,
    ( ~ spl0_19
    | spl0_100
    | spl0_101
    | spl0_155 ),
    inference(avatar_contradiction_clause,[],[f2355]) ).

fof(f2381,plain,
    ( c2_1(a1861)
    | ~ c3_1(a1861)
    | ~ spl0_17
    | ~ spl0_118 ),
    inference(resolution,[],[f254,f758]) ).

fof(f2400,plain,
    ( ~ spl0_155
    | spl0_101
    | ~ spl0_11
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f2170,f846,f232,f672,f1173]) ).

fof(f2408,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_8
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f270,f223]) ).

fof(f2438,plain,
    ( ~ spl0_168
    | spl0_90
    | ~ spl0_16
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2321,f811,f250,f617,f2106]) ).

fof(f2444,plain,
    ( c3_1(a1870)
    | c0_1(a1870)
    | ~ spl0_37
    | ~ spl0_127 ),
    inference(resolution,[],[f343,f803]) ).

fof(f2460,plain,
    ( ~ c3_1(a1877)
    | ~ c0_1(a1877)
    | ~ spl0_4
    | ~ spl0_157 ),
    inference(resolution,[],[f1406,f209]) ).

fof(f2472,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_37
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f364,f343]) ).

fof(f2484,plain,
    ( c0_1(a1857)
    | ~ spl0_37
    | ~ spl0_42
    | spl0_69 ),
    inference(resolution,[],[f2472,f514]) ).

fof(f2493,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_42
    | spl0_69
    | spl0_70 ),
    inference(forward_subsumption_resolution,[],[f2484,f519]) ).

fof(f2494,plain,
    ( ~ spl0_37
    | ~ spl0_42
    | spl0_69
    | spl0_70 ),
    inference(avatar_contradiction_clause,[],[f2493]) ).

fof(f2506,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_11
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f381,f233]) ).

fof(f2509,plain,
    ( c2_1(a1911)
    | ~ spl0_11
    | ~ spl0_46
    | ~ spl0_137 ),
    inference(resolution,[],[f2506,f853]) ).

fof(f2518,plain,
    ( spl0_166
    | ~ spl0_11
    | ~ spl0_46
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2509,f851,f380,f232,f2059]) ).

fof(f2530,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_11
    | ~ spl0_46
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f389,f2506]) ).

fof(f2554,plain,
    ( c2_1(a1867)
    | ~ spl0_11
    | ~ spl0_46
    | ~ spl0_48
    | spl0_84 ),
    inference(resolution,[],[f2530,f589]) ).

fof(f2567,plain,
    ( ~ c3_1(a1878)
    | ~ spl0_8
    | ~ spl0_21
    | ~ spl0_148 ),
    inference(resolution,[],[f908,f2408]) ).

fof(f2568,plain,
    ( c0_1(a1878)
    | ~ c1_1(a1878)
    | ~ spl0_16
    | ~ spl0_148 ),
    inference(resolution,[],[f908,f251]) ).

fof(f2572,plain,
    ( ~ spl0_149
    | spl0_163
    | ~ spl0_16
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2568,f906,f250,f2025,f911]) ).

fof(f2573,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_21
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(forward_subsumption_resolution,[],[f2567,f903]) ).

fof(f2574,plain,
    ( ~ spl0_8
    | ~ spl0_21
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f2573]) ).

fof(f2583,definition,
    ( spl0_172
  <=> c0_1(a1852) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f2593,plain,
    ( ~ c3_1(a1878)
    | ~ c0_1(a1878)
    | ~ spl0_4
    | ~ spl0_149 ),
    inference(resolution,[],[f913,f209]) ).

fof(f2594,plain,
    ( ~ c0_1(a1878)
    | ~ spl0_4
    | ~ spl0_147
    | ~ spl0_149 ),
    inference(forward_subsumption_resolution,[],[f2593,f903]) ).

fof(f2595,plain,
    ( ~ spl0_163
    | ~ spl0_4
    | ~ spl0_147
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2594,f911,f901,f208,f2025]) ).

fof(f2609,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_16
    | ~ spl0_51 ),
    inference(forward_subsumption_resolution,[],[f404,f251]) ).

fof(f2620,plain,
    ( c0_1(a1872)
    | ~ spl0_16
    | ~ spl0_51
    | ~ spl0_129 ),
    inference(resolution,[],[f2609,f813]) ).

fof(f2623,plain,
    ( c0_1(a1857)
    | ~ spl0_16
    | ~ spl0_51
    | ~ spl0_116 ),
    inference(resolution,[],[f2609,f748]) ).

fof(f2626,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_51
    | spl0_70
    | ~ spl0_116 ),
    inference(forward_subsumption_resolution,[],[f2623,f519]) ).

fof(f2627,plain,
    ( ~ spl0_16
    | ~ spl0_51
    | spl0_70
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f2626]) ).

fof(f2629,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_51
    | spl0_90
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f2620,f619]) ).

fof(f2630,plain,
    ( ~ spl0_16
    | ~ spl0_51
    | spl0_90
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f2629]) ).

fof(f2638,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_19
    | ~ spl0_58 ),
    inference(resolution,[],[f451,f262]) ).

fof(f2644,plain,
    ( c1_1(a1898)
    | c0_1(a1898)
    | ~ spl0_58
    | ~ spl0_135 ),
    inference(resolution,[],[f451,f843]) ).

fof(f2653,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_19
    | ~ spl0_58 ),
    inference(duplicate_literal_removal,[],[f2638]) ).

fof(f2685,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f241,f209]) ).

fof(f2698,plain,
    ( ~ spl0_152
    | ~ spl0_154
    | ~ spl0_4
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2309,f921,f208,f1106,f926]) ).

fof(f2705,plain,
    ( spl0_85
    | ~ spl0_11
    | ~ spl0_46
    | ~ spl0_48
    | spl0_84 ),
    inference(avatar_split_clause,[],[f2554,f587,f388,f380,f232,f592]) ).

fof(f2719,plain,
    ( spl0_101
    | ~ spl0_1
    | spl0_100
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1182,f846,f667,f198,f672]) ).

fof(f2739,plain,
    ( c1_1(a1864)
    | ~ spl0_9
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(forward_subsumption_resolution,[],[f995,f778]) ).

fof(f2742,plain,
    ( ~ spl0_144
    | spl0_157
    | ~ spl0_9
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1410,f896,f225,f1405,f886]) ).

fof(f2745,plain,
    ( spl0_155
    | ~ spl0_136
    | ~ spl0_29
    | spl0_100 ),
    inference(avatar_split_clause,[],[f1699,f667,f305,f846,f1173]) ).

fof(f2753,plain,
    ( ~ c1_1(a1872)
    | ~ spl0_13
    | spl0_90
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f2226,f619]) ).

fof(f2763,plain,
    ( spl0_78
    | ~ spl0_9
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2739,f781,f776,f225,f557]) ).

fof(f2764,plain,
    ( ~ spl0_168
    | ~ spl0_13
    | spl0_90
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2753,f806,f617,f240,f2106]) ).

fof(f2846,plain,
    ( c0_1(a1853)
    | ~ c1_1(a1853)
    | ~ spl0_13
    | ~ spl0_110 ),
    inference(resolution,[],[f241,f718]) ).

fof(f2847,plain,
    ( c0_1(a1852)
    | ~ c1_1(a1852)
    | ~ spl0_13
    | ~ spl0_108 ),
    inference(resolution,[],[f241,f708]) ).

fof(f2849,plain,
    ( c0_1(a1852)
    | ~ spl0_13
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(forward_subsumption_resolution,[],[f2847,f713]) ).

fof(f2850,plain,
    ( ~ c1_1(a1853)
    | ~ spl0_13
    | spl0_63
    | ~ spl0_110 ),
    inference(forward_subsumption_resolution,[],[f2846,f484]) ).

fof(f2854,plain,
    ( spl0_172
    | ~ spl0_13
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2849,f711,f706,f240,f2583]) ).

fof(f2855,plain,
    ( $false
    | ~ spl0_13
    | spl0_63
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(forward_subsumption_resolution,[],[f2850,f723]) ).

fof(f2856,plain,
    ( ~ spl0_13
    | spl0_63
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(avatar_contradiction_clause,[],[f2855]) ).

fof(f2858,plain,
    ( ~ c3_1(a1877)
    | ~ c1_1(a1877)
    | ~ spl0_23
    | ~ spl0_145 ),
    inference(resolution,[],[f278,f893]) ).

fof(f2862,plain,
    ( ~ c3_1(a1872)
    | ~ c1_1(a1872)
    | ~ spl0_23
    | ~ spl0_129 ),
    inference(resolution,[],[f278,f813]) ).

fof(f2868,plain,
    ( ~ c1_1(a1872)
    | ~ spl0_23
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f2862,f808]) ).

fof(f2870,plain,
    ( ~ c1_1(a1877)
    | ~ spl0_23
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(forward_subsumption_resolution,[],[f2858,f888]) ).

fof(f2871,plain,
    ( ~ spl0_168
    | ~ spl0_23
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2868,f811,f806,f277,f2106]) ).

fof(f2873,plain,
    ( ~ spl0_157
    | ~ spl0_23
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2870,f891,f886,f277,f1405]) ).

fof(f2876,plain,
    ( c2_1(a1852)
    | ~ spl0_2
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(forward_subsumption_resolution,[],[f1000,f708]) ).

fof(f2890,plain,
    ( c0_1(a1855)
    | ~ spl0_15
    | spl0_65
    | spl0_66 ),
    inference(forward_subsumption_resolution,[],[f1047,f499]) ).

fof(f2896,plain,
    ( spl0_86
    | ~ spl0_5
    | ~ spl0_19
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1421,f587,f261,f212,f597]) ).

fof(f2900,plain,
    ( spl0_15
    | ~ spl0_19
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f2653,f450,f261,f247]) ).

fof(f2906,plain,
    ( spl0_85
    | spl0_86
    | ~ spl0_19
    | spl0_84 ),
    inference(avatar_split_clause,[],[f2339,f587,f261,f597,f592]) ).

fof(f2918,plain,
    ( c1_1(a1898)
    | ~ spl0_58
    | spl0_99
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f2644,f664]) ).

fof(f2937,plain,
    ( spl0_62
    | ~ spl0_2
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2876,f711,f706,f201,f477]) ).

fof(f2940,plain,
    ( spl0_67
    | ~ spl0_15
    | spl0_65
    | spl0_66 ),
    inference(avatar_split_clause,[],[f2890,f497,f492,f247,f502]) ).

fof(f2943,plain,
    ( spl0_98
    | ~ spl0_58
    | spl0_99
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2918,f841,f662,f450,f657]) ).

fof(f2956,plain,
    ( spl0_89
    | spl0_88
    | ~ spl0_37
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2444,f801,f342,f607,f612]) ).

fof(f3049,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f219,f1523]) ).

fof(f3050,plain,
    ( ~ c1_1(a1885)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_152 ),
    inference(resolution,[],[f3049,f928]) ).

fof(f3052,plain,
    ( ~ c1_1(a1858)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_143 ),
    inference(resolution,[],[f3049,f883]) ).

fof(f3056,plain,
    ( ~ c1_1(a1875)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_133 ),
    inference(resolution,[],[f3049,f833]) ).

fof(f3078,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f3056,f828]) ).

fof(f3079,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f3078]) ).

fof(f3086,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(forward_subsumption_resolution,[],[f3052,f878]) ).

fof(f3087,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f3086]) ).

fof(f3090,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(forward_subsumption_resolution,[],[f3050,f923]) ).

fof(f3091,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f3090]) ).

fof(f3092,plain,
    ( ~ c3_1(a1858)
    | ~ spl0_4
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(forward_subsumption_resolution,[],[f2171,f883]) ).

fof(f3094,plain,
    ( ~ spl0_172
    | ~ spl0_108
    | ~ spl0_4
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2314,f711,f208,f706,f2583]) ).

fof(f3104,plain,
    ( ~ spl0_128
    | spl0_168
    | ~ spl0_6
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2204,f811,f215,f2106,f806]) ).

fof(f3134,plain,
    ( c2_1(a1861)
    | ~ spl0_10
    | ~ spl0_17
    | ~ spl0_19
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f2381,f1061]) ).

fof(f3148,plain,
    ( spl0_166
    | spl0_103
    | ~ spl0_19
    | spl0_102 ),
    inference(avatar_split_clause,[],[f2328,f677,f261,f682,f2059]) ).

fof(f3149,plain,
    ( ~ spl0_141
    | ~ spl0_4
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f3092,f881,f876,f208,f871]) ).

fof(f3161,plain,
    ( spl0_73
    | ~ spl0_10
    | ~ spl0_17
    | ~ spl0_19
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f3134,f756,f261,f253,f229,f532]) ).

fof(f3173,plain,
    ( ~ spl0_146
    | ~ spl0_144
    | ~ spl0_4
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2460,f1405,f208,f886,f896]) ).

fof(f3180,plain,
    ( ~ c1_1(a1899)
    | c2_1(a1899)
    | ~ spl0_10
    | spl0_100 ),
    inference(resolution,[],[f669,f230]) ).

fof(f3181,plain,
    ( spl0_101
    | ~ spl0_155
    | ~ spl0_10
    | spl0_100 ),
    inference(avatar_split_clause,[],[f3180,f667,f229,f1173,f672]) ).

fof(f3210,plain,
    ( ~ c1_1(a1862)
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_153 ),
    inference(resolution,[],[f2685,f1024]) ).

fof(f3213,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_119
    | ~ spl0_153 ),
    inference(forward_subsumption_resolution,[],[f3210,f763]) ).

fof(f3214,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_119
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f3213]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f210]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f220]) ).

cnf(s3,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f227]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f237]) ).

cnf(s5,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_8
    | spl0_10 ),
    inference(sat_conversion,[],[f238]) ).

cnf(s6,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f245]) ).

cnf(s8,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_16
    | spl0_18 ),
    inference(sat_conversion,[],[f259]) ).

cnf(s9,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_10
    | spl0_19 ),
    inference(sat_conversion,[],[f263]) ).

cnf(s10,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f271]) ).

cnf(s11,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f279]) ).

cnf(s12,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_16
    | spl0_24 ),
    inference(sat_conversion,[],[f284]) ).

cnf(s13,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_10
    | spl0_25 ),
    inference(sat_conversion,[],[f289]) ).

cnf(s14,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_21
    | spl0_26 ),
    inference(sat_conversion,[],[f294]) ).

cnf(s15,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_11
    | spl0_27 ),
    inference(sat_conversion,[],[f299]) ).

cnf(s16,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_28
    | spl0_29 ),
    inference(sat_conversion,[],[f307]) ).

cnf(s17,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_12
    | spl0_30 ),
    inference(sat_conversion,[],[f312]) ).

cnf(s18,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_13
    | spl0_20 ),
    inference(sat_conversion,[],[f313]) ).

cnf(s19,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_31
    | spl0_32 ),
    inference(sat_conversion,[],[f321]) ).

cnf(s20,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_29
    | spl0_33 ),
    inference(sat_conversion,[],[f326]) ).

cnf(s21,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_8
    | spl0_30 ),
    inference(sat_conversion,[],[f327]) ).

cnf(s22,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_29
    | spl0_34 ),
    inference(sat_conversion,[],[f332]) ).

cnf(s23,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_31
    | spl0_35 ),
    inference(sat_conversion,[],[f336]) ).

cnf(s29,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_35
    | spl0_44 ),
    inference(sat_conversion,[],[f375]) ).

cnf(s33,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_40
    | spl0_42 ),
    inference(sat_conversion,[],[f392]) ).

cnf(s34,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_35
    | spl0_49 ),
    inference(sat_conversion,[],[f397]) ).

cnf(s35,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_50
    | spl0_51 ),
    inference(sat_conversion,[],[f405]) ).

cnf(s36,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_42
    | spl0_52 ),
    inference(sat_conversion,[],[f410]) ).

cnf(s37,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_50
    | spl0_53 ),
    inference(sat_conversion,[],[f415]) ).

cnf(s38,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_26
    | spl0_50 ),
    inference(sat_conversion,[],[f416]) ).

cnf(s39,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_40
    | spl0_52 ),
    inference(sat_conversion,[],[f417]) ).

cnf(s41,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_30
    | spl0_55 ),
    inference(sat_conversion,[],[f427]) ).

cnf(s42,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_22
    | spl0_52 ),
    inference(sat_conversion,[],[f428]) ).

cnf(s43,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_41
    | spl0_49 ),
    inference(sat_conversion,[],[f429]) ).

cnf(s44,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_52
    | spl0_56 ),
    inference(sat_conversion,[],[f434]) ).

cnf(s45,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_27
    | spl0_31 ),
    inference(sat_conversion,[],[f435]) ).

cnf(s48,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_34
    | spl0_47 ),
    inference(sat_conversion,[],[f438]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_31
    | spl0_56 ),
    inference(sat_conversion,[],[f439]) ).

cnf(s50,plain,
    ( ~ spl0_3
    | spl0_35
    | spl0_44
    | spl0_57 ),
    inference(sat_conversion,[],[f444]) ).

cnf(s52,plain,
    ( ~ spl0_3
    | spl0_30
    | spl0_46
    | spl0_52 ),
    inference(sat_conversion,[],[f446]) ).

cnf(s53,plain,
    ( ~ spl0_3
    | spl0_24
    | spl0_37
    | spl0_52 ),
    inference(sat_conversion,[],[f447]) ).

cnf(s55,plain,
    ( ~ spl0_3
    | spl0_20
    | spl0_57
    | spl0_58 ),
    inference(sat_conversion,[],[f452]) ).

cnf(s60,plain,
    ( ~ spl0_3
    | spl0_31
    | spl0_44
    | spl0_51 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s61,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_20
    | spl0_55 ),
    inference(sat_conversion,[],[f466]) ).

cnf(s62,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_28
    | spl0_31 ),
    inference(sat_conversion,[],[f467]) ).

cnf(s63,plain,
    ( ~ spl0_3
    | spl0_30
    | spl0_48
    | spl0_53 ),
    inference(sat_conversion,[],[f468]) ).

cnf(s67,plain,
    ( ~ spl0_50
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f480]) ).

cnf(s68,plain,
    ( ~ spl0_49
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f485]) ).

cnf(s70,plain,
    ( ~ spl0_40
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f495]) ).

cnf(s71,plain,
    ( ~ spl0_40
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f500]) ).

cnf(s72,plain,
    ( ~ spl0_40
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f505]) ).

cnf(s74,plain,
    ( ~ spl0_33
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f515]) ).

cnf(s75,plain,
    ( ~ spl0_33
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f520]) ).

cnf(s78,plain,
    ( ~ spl0_41
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f535]) ).

cnf(s80,plain,
    ( ~ spl0_31
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f545]) ).

cnf(s81,plain,
    ( ~ spl0_44
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f550]) ).

cnf(s82,plain,
    ( ~ spl0_44
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f555]) ).

cnf(s83,plain,
    ( ~ spl0_22
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f560]) ).

cnf(s89,plain,
    ( ~ spl0_57
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f590]) ).

cnf(s90,plain,
    ( ~ spl0_57
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s91,plain,
    ( ~ spl0_57
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f600]) ).

cnf(s93,plain,
    ( ~ spl0_34
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f610]) ).

cnf(s94,plain,
    ( ~ spl0_34
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f615]) ).

cnf(s95,plain,
    ( ~ spl0_20
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f620]) ).

cnf(s96,plain,
    ( ~ spl0_47
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f625]) ).

cnf(s97,plain,
    ( ~ spl0_27
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f630]) ).

cnf(s101,plain,
    ( ~ spl0_25
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f650]) ).

cnf(s103,plain,
    ( ~ spl0_28
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f660]) ).

cnf(s104,plain,
    ( ~ spl0_28
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s105,plain,
    ( ~ spl0_55
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f670]) ).

cnf(s106,plain,
    ( ~ spl0_55
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f675]) ).

cnf(s107,plain,
    ( ~ spl0_56
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f680]) ).

cnf(s108,plain,
    ( ~ spl0_56
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f685]) ).

cnf(s109,plain,
    ( ~ spl0_26
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s110,plain,
    ( ~ spl0_26
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f695]) ).

cnf(s112,plain,
    ( ~ spl0_50
    | spl0_108 ),
    inference(sat_conversion,[],[f709]) ).

cnf(s113,plain,
    ( ~ spl0_50
    | spl0_109 ),
    inference(sat_conversion,[],[f714]) ).

cnf(s114,plain,
    ( ~ spl0_49
    | spl0_110 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s115,plain,
    ( ~ spl0_49
    | spl0_111 ),
    inference(sat_conversion,[],[f724]) ).

cnf(s120,plain,
    ( ~ spl0_33
    | spl0_116 ),
    inference(sat_conversion,[],[f749]) ).

cnf(s122,plain,
    ( ~ spl0_41
    | spl0_118 ),
    inference(sat_conversion,[],[f759]) ).

cnf(s123,plain,
    ( ~ spl0_31
    | spl0_119 ),
    inference(sat_conversion,[],[f764]) ).

cnf(s124,plain,
    ( ~ spl0_31
    | spl0_120 ),
    inference(sat_conversion,[],[f769]) ).

cnf(s125,plain,
    ( ~ spl0_44
    | spl0_121 ),
    inference(sat_conversion,[],[f774]) ).

cnf(s126,plain,
    ( ~ spl0_22
    | spl0_122 ),
    inference(sat_conversion,[],[f779]) ).

cnf(s127,plain,
    ( ~ spl0_22
    | spl0_123 ),
    inference(sat_conversion,[],[f784]) ).

cnf(s131,plain,
    ( ~ spl0_34
    | spl0_127 ),
    inference(sat_conversion,[],[f804]) ).

cnf(s132,plain,
    ( ~ spl0_20
    | spl0_128 ),
    inference(sat_conversion,[],[f809]) ).

cnf(s133,plain,
    ( ~ spl0_20
    | spl0_129 ),
    inference(sat_conversion,[],[f814]) ).

cnf(s134,plain,
    ( ~ spl0_47
    | spl0_130 ),
    inference(sat_conversion,[],[f819]) ).

cnf(s135,plain,
    ( ~ spl0_47
    | spl0_131 ),
    inference(sat_conversion,[],[f824]) ).

cnf(s136,plain,
    ( ~ spl0_27
    | spl0_132 ),
    inference(sat_conversion,[],[f829]) ).

cnf(s137,plain,
    ( ~ spl0_27
    | spl0_133 ),
    inference(sat_conversion,[],[f834]) ).

cnf(s138,plain,
    ( ~ spl0_25
    | spl0_134 ),
    inference(sat_conversion,[],[f839]) ).

cnf(s139,plain,
    ( ~ spl0_28
    | spl0_135 ),
    inference(sat_conversion,[],[f844]) ).

cnf(s140,plain,
    ( ~ spl0_55
    | spl0_136 ),
    inference(sat_conversion,[],[f849]) ).

cnf(s141,plain,
    ( ~ spl0_56
    | spl0_137 ),
    inference(sat_conversion,[],[f854]) ).

cnf(s142,plain,
    ( ~ spl0_26
    | spl0_138 ),
    inference(sat_conversion,[],[f859]) ).

cnf(s145,plain,
    ( ~ spl0_52
    | spl0_141 ),
    inference(sat_conversion,[],[f874]) ).

cnf(s146,plain,
    ( ~ spl0_52
    | spl0_142 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s147,plain,
    ( ~ spl0_52
    | spl0_143 ),
    inference(sat_conversion,[],[f884]) ).

cnf(s148,plain,
    ( ~ spl0_30
    | spl0_144 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s149,plain,
    ( ~ spl0_30
    | spl0_145 ),
    inference(sat_conversion,[],[f894]) ).

cnf(s150,plain,
    ( ~ spl0_30
    | spl0_146 ),
    inference(sat_conversion,[],[f899]) ).

cnf(s151,plain,
    ( ~ spl0_53
    | spl0_147 ),
    inference(sat_conversion,[],[f904]) ).

cnf(s152,plain,
    ( ~ spl0_53
    | spl0_148 ),
    inference(sat_conversion,[],[f909]) ).

cnf(s153,plain,
    ( ~ spl0_53
    | spl0_149 ),
    inference(sat_conversion,[],[f914]) ).

cnf(s155,plain,
    ( ~ spl0_24
    | spl0_151 ),
    inference(sat_conversion,[],[f924]) ).

cnf(s156,plain,
    ( ~ spl0_24
    | spl0_152 ),
    inference(sat_conversion,[],[f929]) ).

cnf(s163,plain,
    ( spl0_22
    | spl0_27
    | spl0_34 ),
    inference(sat_conversion,[],[f936]) ).

cnf(s164,plain,
    ( spl0_22
    | spl0_26
    | spl0_31 ),
    inference(sat_conversion,[],[f937]) ).

cnf(s165,plain,
    ( spl0_20
    | spl0_31
    | spl0_47 ),
    inference(sat_conversion,[],[f938]) ).

cnf(s166,plain,
    ( spl0_24
    | spl0_30
    | spl0_49 ),
    inference(sat_conversion,[],[f939]) ).

cnf(s168,plain,
    ( spl0_3
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f941]) ).

cnf(s194,plain,
    ( spl0_3
    | ~ spl0_30 ),
    inference(sat_conversion,[],[f967]) ).

cnf(s196,plain,
    ( spl0_3
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f969]) ).

cnf(s217,plain,
    ( ~ spl0_10
    | spl0_75
    | ~ spl0_119
    | spl0_153 ),
    inference(sat_conversion,[],[f1096]) ).

cnf(s223,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1136]) ).

cnf(s224,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1138]) ).

cnf(s229,plain,
    ( ~ spl0_12
    | spl0_92
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1166]) ).

cnf(s231,plain,
    ( ~ spl0_12
    | ~ spl0_151
    | ~ spl0_152
    | spl0_154 ),
    inference(sat_conversion,[],[f1170]) ).

cnf(s240,plain,
    ( ~ spl0_11
    | ~ spl0_32
    | spl0_62
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f1220]) ).

cnf(s252,plain,
    ( ~ spl0_12
    | ~ spl0_119
    | ~ spl0_120
    | spl0_153 ),
    inference(sat_conversion,[],[f1264]) ).

cnf(s268,plain,
    ( ~ spl0_10
    | ~ spl0_16
    | spl0_88
    | spl0_89
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f1354]) ).

cnf(s275,plain,
    ( ~ spl0_2
    | spl0_75
    | ~ spl0_119
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1369]) ).

cnf(s280,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | spl0_96
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1390]) ).

cnf(s303,plain,
    ( ~ spl0_11
    | spl0_75
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1522]) ).

cnf(s322,plain,
    ( ~ spl0_1
    | ~ spl0_14
    | spl0_102
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1628]) ).

cnf(s332,plain,
    ( ~ spl0_8
    | spl0_90
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f1719]) ).

cnf(s333,plain,
    ( ~ spl0_18
    | spl0_91
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f1732]) ).

cnf(s364,plain,
    ( ~ spl0_35
    | spl0_104
    | spl0_105
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f1830]) ).

cnf(s375,plain,
    ( ~ spl0_7
    | ~ spl0_11
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1874]) ).

cnf(s376,plain,
    ( ~ spl0_7
    | ~ spl0_11
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1876]) ).

cnf(s378,plain,
    ( ~ spl0_7
    | ~ spl0_11
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1879]) ).

cnf(s382,plain,
    ( ~ spl0_18
    | ~ spl0_145
    | ~ spl0_146
    | spl0_157 ),
    inference(sat_conversion,[],[f1891]) ).

cnf(s383,plain,
    ( ~ spl0_21
    | ~ spl0_144
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1897]) ).

cnf(s387,plain,
    ( ~ spl0_5
    | spl0_76
    | spl0_77
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1905]) ).

cnf(s418,plain,
    ( ~ spl0_7
    | ~ spl0_11
    | ~ spl0_37
    | spl0_88
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f2008]) ).

cnf(s430,plain,
    ( ~ spl0_29
    | spl0_102
    | spl0_103
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f2041]) ).

cnf(s445,plain,
    ( ~ spl0_18
    | spl0_103
    | ~ spl0_137
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f2063]) ).

cnf(s456,plain,
    ( ~ spl0_2
    | ~ spl0_16
    | spl0_63
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f2075]) ).

cnf(s502,plain,
    ( ~ spl0_1
    | ~ spl0_17
    | ~ spl0_21
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f2163]) ).

cnf(s505,plain,
    ( ~ spl0_1
    | ~ spl0_17
    | ~ spl0_21
    | ~ spl0_141
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f2168]) ).

cnf(s526,plain,
    ( ~ spl0_6
    | ~ spl0_15
    | spl0_58 ),
    inference(sat_conversion,[],[f2287]) ).

cnf(s530,plain,
    ( ~ spl0_8
    | ~ spl0_15
    | spl0_98
    | spl0_99
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f2291]) ).

cnf(s558,plain,
    ( ~ spl0_19
    | spl0_100
    | spl0_101
    | spl0_155 ),
    inference(sat_conversion,[],[f2356]) ).

cnf(s573,plain,
    ( ~ spl0_11
    | spl0_101
    | ~ spl0_136
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2400]) ).

cnf(s590,plain,
    ( ~ spl0_16
    | spl0_90
    | ~ spl0_129
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2438]) ).

cnf(s602,plain,
    ( ~ spl0_37
    | ~ spl0_42
    | spl0_69
    | spl0_70 ),
    inference(sat_conversion,[],[f2494]) ).

cnf(s611,plain,
    ( ~ spl0_11
    | ~ spl0_46
    | ~ spl0_137
    | spl0_166 ),
    inference(sat_conversion,[],[f2518]) ).

cnf(s629,plain,
    ( ~ spl0_16
    | ~ spl0_148
    | ~ spl0_149
    | spl0_163 ),
    inference(sat_conversion,[],[f2572]) ).

cnf(s630,plain,
    ( ~ spl0_8
    | ~ spl0_21
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f2574]) ).

cnf(s639,plain,
    ( ~ spl0_4
    | ~ spl0_147
    | ~ spl0_149
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2595]) ).

cnf(s644,plain,
    ( ~ spl0_16
    | ~ spl0_51
    | spl0_70
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f2627]) ).

cnf(s646,plain,
    ( ~ spl0_16
    | ~ spl0_51
    | spl0_90
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f2630]) ).

cnf(s671,plain,
    ( ~ spl0_4
    | ~ spl0_151
    | ~ spl0_152
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f2698]) ).

cnf(s678,plain,
    ( ~ spl0_11
    | ~ spl0_46
    | ~ spl0_48
    | spl0_84
    | spl0_85 ),
    inference(sat_conversion,[],[f2705]) ).

cnf(s700,plain,
    ( ~ spl0_1
    | spl0_100
    | spl0_101
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f2719]) ).

cnf(s719,plain,
    ( ~ spl0_9
    | ~ spl0_144
    | ~ spl0_146
    | spl0_157 ),
    inference(sat_conversion,[],[f2742]) ).

cnf(s723,plain,
    ( ~ spl0_29
    | spl0_100
    | ~ spl0_136
    | spl0_155 ),
    inference(sat_conversion,[],[f2745]) ).

cnf(s752,plain,
    ( ~ spl0_9
    | spl0_78
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f2763]) ).

cnf(s756,plain,
    ( ~ spl0_13
    | spl0_90
    | ~ spl0_128
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2764]) ).

cnf(s772,plain,
    ( ~ spl0_13
    | ~ spl0_108
    | ~ spl0_109
    | spl0_172 ),
    inference(sat_conversion,[],[f2854]) ).

cnf(s773,plain,
    ( ~ spl0_13
    | spl0_63
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f2856]) ).

cnf(s776,plain,
    ( ~ spl0_23
    | ~ spl0_128
    | ~ spl0_129
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2871]) ).

cnf(s778,plain,
    ( ~ spl0_23
    | ~ spl0_144
    | ~ spl0_145
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f2873]) ).

cnf(s796,plain,
    ( ~ spl0_5
    | ~ spl0_19
    | spl0_84
    | spl0_86 ),
    inference(sat_conversion,[],[f2896]) ).

cnf(s800,plain,
    ( spl0_15
    | ~ spl0_19
    | ~ spl0_58 ),
    inference(sat_conversion,[],[f2900]) ).

cnf(s802,plain,
    ( ~ spl0_19
    | spl0_84
    | spl0_85
    | spl0_86 ),
    inference(sat_conversion,[],[f2906]) ).

cnf(s827,plain,
    ( ~ spl0_2
    | spl0_62
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f2937]) ).

cnf(s835,plain,
    ( ~ spl0_15
    | spl0_65
    | spl0_66
    | spl0_67 ),
    inference(sat_conversion,[],[f2940]) ).

cnf(s843,plain,
    ( ~ spl0_58
    | spl0_98
    | spl0_99
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f2943]) ).

cnf(s852,plain,
    ( ~ spl0_37
    | spl0_88
    | spl0_89
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f2956]) ).

cnf(s895,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f3079]) ).

cnf(s899,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f3087]) ).

cnf(s901,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f3091]) ).

cnf(s903,plain,
    ( ~ spl0_4
    | ~ spl0_108
    | ~ spl0_109
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f3094]) ).

cnf(s910,plain,
    ( ~ spl0_6
    | ~ spl0_128
    | ~ spl0_129
    | spl0_168 ),
    inference(sat_conversion,[],[f3104]) ).

cnf(s946,plain,
    ( ~ spl0_19
    | spl0_102
    | spl0_103
    | spl0_166 ),
    inference(sat_conversion,[],[f3148]) ).

cnf(s947,plain,
    ( ~ spl0_4
    | ~ spl0_141
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f3149]) ).

cnf(s957,plain,
    ( ~ spl0_10
    | ~ spl0_17
    | ~ spl0_19
    | spl0_73
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f3161]) ).

cnf(s969,plain,
    ( ~ spl0_4
    | ~ spl0_144
    | ~ spl0_146
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f3173]) ).

cnf(s975,plain,
    ( ~ spl0_10
    | spl0_100
    | spl0_101
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f3181]) ).

cnf(s980,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_119
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f3214]) ).

cnf(s982,plain,
    spl0_3,
    inference(rat,[],[s166,s168,s194,s196]) ).

cnf(s984,plain,
    ( ~ spl0_30
    | ~ spl0_9
    | ~ spl0_4 ),
    inference(rat,[],[s719,s969,s148,s150]) ).

cnf(s987,plain,
    ( ~ spl0_52
    | ~ spl0_4 ),
    inference(rat,[],[s947,s145,s146,s147]) ).

cnf(s988,plain,
    ( ~ spl0_22
    | ~ spl0_9 ),
    inference(rat,[],[s752,s83,s126,s127]) ).

cnf(s990,plain,
    ( ~ spl0_24
    | ~ spl0_11
    | ~ spl0_7 ),
    inference(rat,[],[s378,s155,s156]) ).

cnf(s991,plain,
    ( ~ spl0_19
    | spl0_15
    | spl0_20 ),
    inference(rat,[],[s802,s89,s90,s91,s55,s800,s982]) ).

cnf(s992,plain,
    ( spl0_19
    | ~ spl0_37
    | ~ spl0_11
    | spl0_20
    | spl0_52
    | spl0_2 ),
    inference(rat,[],[s602,s74,s75,s20,s723,s573,s105,s106,s140,s36,s61,s982]) ).

cnf(s993,plain,
    ( ~ spl0_40
    | ~ spl0_15 ),
    inference(rat,[],[s835,s70,s71,s72]) ).

cnf(s994,plain,
    ( ~ spl0_33
    | ~ spl0_42
    | ~ spl0_37 ),
    inference(rat,[],[s602,s74,s75]) ).

cnf(s997,plain,
    ( ~ spl0_34
    | ~ spl0_37
    | ~ spl0_11
    | ~ spl0_7 ),
    inference(rat,[],[s418,s93,s131]) ).

cnf(s998,plain,
    ( spl0_22
    | ~ spl0_7
    | spl0_52 ),
    inference(rat,[],[s375,s136,s137,s163,s997,s53,s990,s42,s982]) ).

cnf(s999,plain,
    ( ~ spl0_20
    | ~ spl0_8 ),
    inference(rat,[],[s332,s95,s132,s133]) ).

cnf(s1000,plain,
    ( ~ spl0_11
    | ~ spl0_7
    | spl0_20
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s993,s991,s33,s992,s994,s53,s990,s20,s430,s107,s108,s141,s44,s988,s998,s987,s1,s982]) ).

cnf(s1002,plain,
    ( ~ spl0_49
    | ~ spl0_13 ),
    inference(rat,[],[s773,s68,s114,s115]) ).

cnf(s1003,plain,
    ( ~ spl0_31
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_4 ),
    inference(rat,[],[s217,s980,s80,s123]) ).

cnf(s1004,plain,
    ( ~ spl0_34
    | ~ spl0_16
    | ~ spl0_10 ),
    inference(rat,[],[s268,s93,s94,s131]) ).

cnf(s1006,plain,
    ( ~ spl0_50
    | ~ spl0_13
    | ~ spl0_4 ),
    inference(rat,[],[s772,s903,s112,s113]) ).

cnf(s1007,plain,
    ( spl0_15
    | spl0_50
    | spl0_18
    | spl0_70
    | ~ spl0_116 ),
    inference(rat,[],[s644,s35,s8,s982]) ).

cnf(s1008,plain,
    ( ~ spl0_28
    | ~ spl0_15
    | ~ spl0_8 ),
    inference(rat,[],[s530,s103,s104,s139]) ).

cnf(s1009,plain,
    ( ~ spl0_55
    | ~ spl0_19
    | ~ spl0_10 ),
    inference(rat,[],[s558,s975,s105,s106]) ).

cnf(s1010,plain,
    ( ~ spl0_30
    | ~ spl0_21 ),
    inference(rat,[],[s383,s148,s149,s150]) ).

cnf(s1011,plain,
    ( spl0_11
    | ~ spl0_8
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s41,s1009,s957,s62,s1008,s1007,s333,s96,s134,s135,s165,s75,s120,s1003,s20,s4,s430,s231,s671,s107,s108,s141,s155,s156,s78,s122,s44,s166,s43,s988,s1006,s1002,s42,s18,s987,s1010,s10,s999,s982]) ).

cnf(s1013,plain,
    ( spl0_11
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s3,s988,s1011,s42,s987,s982]) ).

cnf(s1014,plain,
    ( spl0_20
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s630,s151,s152,s63,s678,s89,s90,s55,s843,s103,s104,s139,s17,s16,s231,s671,s723,s155,s156,s573,s53,s105,s106,s140,s992,s61,s991,s993,s52,s39,s1010,s1000,s10,s987,s1013,s1,s982]) ).

cnf(s1015,plain,
    ( ~ spl0_24
    | ~ spl0_12
    | ~ spl0_9
    | ~ spl0_4 ),
    inference(rat,[],[s223,s155,s156]) ).

cnf(s1016,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s224,s136,s137,s163,s1004,s5,s910,s590,s12,s1015,s998,s17,s988,s984,s3,s999,s95,s132,s133,s1014,s987,s1,s982]) ).

cnf(s1017,plain,
    ( spl0_15
    | ~ spl0_13
    | spl0_20
    | spl0_9
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s364,s109,s110,s142,s38,s895,s136,s137,s45,s333,s96,s134,s135,s165,s1003,s9,s34,s991,s1002,s1006,s982]) ).

cnf(s1019,plain,
    ( ~ spl0_10
    | spl0_18
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s895,s136,s137,s45,s1003,s982]) ).

cnf(s1020,plain,
    ( ~ spl0_31
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_4 ),
    inference(rat,[],[s980,s252,s123,s124]) ).

cnf(s1021,plain,
    ( spl0_18
    | spl0_20
    | spl0_11
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s229,s97,s136,s137,s45,s1020,s4,s1019,s39,s993,s1017,s18,s988,s42,s987,s982]) ).

cnf(s1022,plain,
    ( spl0_20
    | spl0_11
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s333,s96,s134,s135,s165,s1003,s9,s946,s445,s1021,s18,s141,s108,s107,s44,s988,s42,s987,s982]) ).

cnf(s1023,plain,
    ( spl0_11
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s8,s993,s382,s39,s969,s901,s1004,s148,s149,s150,s4,s17,s231,s671,s155,s156,s53,s852,s93,s94,s131,s22,s999,s1022,s430,s107,s108,s141,s44,s988,s42,s987,s982]) ).

cnf(s1027,plain,
    ( ~ spl0_18
    | ~ spl0_56
    | ~ spl0_11
    | ~ spl0_4 ),
    inference(rat,[],[s382,s969,s148,s149,s150,s52,s611,s445,s987,s141,s108,s982]) ).

cnf(s1030,plain,
    ( ~ spl0_31
    | ~ spl0_11 ),
    inference(rat,[],[s303,s80,s123,s124]) ).

cnf(s1031,plain,
    ( ~ spl0_53
    | ~ spl0_16
    | ~ spl0_4 ),
    inference(rat,[],[s639,s629,s151,s152,s153]) ).

cnf(s1032,plain,
    ( spl0_30
    | spl0_53
    | spl0_84
    | spl0_85
    | ~ spl0_11
    | spl0_52 ),
    inference(rat,[],[s678,s63,s52,s982]) ).

cnf(s1033,plain,
    ( spl0_20
    | ~ spl0_11
    | ~ spl0_4 ),
    inference(rat,[],[s240,s67,s113,s19,s37,s1010,s1032,s1031,s89,s90,s55,s843,s103,s104,s139,s62,s8,s991,s993,s39,s375,s136,s137,s45,s333,s96,s134,s135,s165,s987,s1030,s982]) ).

cnf(s1034,plain,
    ( ~ spl0_9
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s456,s68,s114,s115,s166,s12,s1015,s998,s17,s988,s984,s987,s999,s1033,s1023,s982]) ).

cnf(s1035,plain,
    ( ~ spl0_16
    | ~ spl0_34
    | spl0_8
    | spl0_90
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(rat,[],[s5,s910,s1004,s590,s982]) ).

cnf(s1036,plain,
    ( ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s993,s8,s39,s1035,s375,s136,s137,s22,s45,s430,s1027,s107,s108,s141,s44,s1034,s999,s95,s132,s133,s1033,s1030,s1023,s987,s982]) ).

cnf(s1038,plain,
    ( ~ spl0_47
    | ~ spl0_18 ),
    inference(rat,[],[s333,s96,s134,s135]) ).

cnf(s1039,plain,
    ( ~ spl0_31
    | ~ spl0_10
    | ~ spl0_2 ),
    inference(rat,[],[s217,s275,s80,s123]) ).

cnf(s1040,plain,
    ( ~ spl0_26
    | ~ spl0_35 ),
    inference(rat,[],[s364,s109,s110,s142]) ).

cnf(s1041,plain,
    ( ~ spl0_50
    | ~ spl0_2 ),
    inference(rat,[],[s827,s67,s112,s113]) ).

cnf(s1043,plain,
    ( ~ spl0_10
    | ~ spl0_7
    | spl0_20
    | ~ spl0_2 ),
    inference(rat,[],[s895,s136,s137,s45,s1038,s165,s1039,s982]) ).

cnf(s1044,plain,
    ( ~ spl0_31
    | ~ spl0_12
    | ~ spl0_2 ),
    inference(rat,[],[s275,s252,s80,s123,s124]) ).

cnf(s1045,plain,
    ( ~ spl0_12
    | spl0_20
    | ~ spl0_2 ),
    inference(rat,[],[s229,s97,s136,s137,s45,s1038,s165,s1044,s982]) ).

cnf(s1046,plain,
    ( spl0_20
    | spl0_11
    | spl0_1 ),
    inference(rat,[],[s1008,s22,s16,s430,s107,s108,s141,s49,s387,s1004,s81,s82,s125,s23,s34,s29,s1040,s38,s1043,s1039,s4,s1045,s1002,s18,s1041,s1016,s982]) ).

cnf(s1047,plain,
    ( ~ spl0_24
    | ~ spl0_10
    | ~ spl0_7
    | ~ spl0_2 ),
    inference(rat,[],[s901,s155,s156]) ).

cnf(s1048,plain,
    ( spl0_52
    | spl0_9
    | spl0_24
    | spl0_8 ),
    inference(rat,[],[s852,s93,s94,s131,s22,s430,s107,s108,s141,s53,s44,s982]) ).

cnf(s1049,plain,
    ( ~ spl0_52
    | ~ spl0_10
    | ~ spl0_7
    | ~ spl0_2 ),
    inference(rat,[],[s899,s146,s147]) ).

cnf(s1050,plain,
    ( ~ spl0_10
    | ~ spl0_7
    | spl0_8
    | spl0_11
    | ~ spl0_2 ),
    inference(rat,[],[s988,s1048,s42,s1049,s1047,s982]) ).

cnf(s1051,plain,
    ( spl0_10
    | spl0_11
    | spl0_1 ),
    inference(rat,[],[s14,s1040,s1010,s23,s21,s590,s280,s910,s101,s138,s1044,s5,s13,s4,s1036,s1016,s133,s132,s95,s999,s1046,s982]) ).

cnf(s1052,plain,
    ( spl0_11
    | spl0_1 ),
    inference(rat,[],[s2,s910,s387,s590,s81,s82,s125,s23,s29,s1040,s38,s1050,s1039,s1051,s999,s95,s132,s133,s1046,s1041,s1016,s982]) ).

cnf(s1053,plain,
    ( ~ spl0_10
    | spl0_24
    | ~ spl0_7
    | ~ spl0_2 ),
    inference(rat,[],[s988,s1048,s998,s999,s1049,s1043]) ).

cnf(s1054,plain,
    ( ~ spl0_27
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(rat,[],[s375,s136,s137]) ).

cnf(s1055,plain,
    ( ~ spl0_7
    | spl0_1 ),
    inference(rat,[],[s376,s146,s147,s53,s997,s48,s1038,s45,s1054,s1053,s990,s1016,s1030,s1052,s982]) ).

cnf(s1056,plain,
    spl0_1,
    inference(rat,[],[s456,s68,s114,s115,s34,s526,s843,s103,s104,s139,s16,s430,s107,s108,s141,s49,s2,s387,s81,s82,s125,s23,s29,s1040,s38,s1055,s1030,s1052,s1041,s1016,s982]) ).

cnf(s1057,plain,
    ~ spl0_55,
    inference(rat,[],[s700,s105,s106,s140,s1056]) ).

cnf(s1059,plain,
    ( ~ spl0_22
    | ~ spl0_21 ),
    inference(rat,[],[s502,s126,s127,s41,s1010,s1056,s982,s1057]) ).

cnf(s1060,plain,
    ( ~ spl0_21
    | spl0_11 ),
    inference(rat,[],[s505,s145,s147,s42,s1059,s41,s1010,s1056,s982,s1057]) ).

cnf(s1061,plain,
    ( spl0_11
    | spl0_2 ),
    inference(rat,[],[s778,s719,s148,s149,s150,s17,s229,s97,s136,s137,s15,s910,s776,s11,s988,s3,s999,s132,s133,s10,s1060,s982]) ).

cnf(s1062,plain,
    ( ~ spl0_7
    | spl0_2 ),
    inference(rat,[],[s376,s146,s147,s998,s988,s3,s999,s165,s1038,s45,s1054,s1030,s1061,s982]) ).

cnf(s1063,plain,
    ( spl0_20
    | spl0_2 ),
    inference(rat,[],[s505,s145,s147,s39,s993,s41,s991,s1010,s61,s10,s1062,s1056,s982,s1057]) ).

cnf(s1064,plain,
    spl0_2,
    inference(rat,[],[s387,s2,s81,s82,s125,s910,s60,s590,s646,s23,s1040,s164,s988,s3,s999,s95,s132,s133,s1063,s1062,s1030,s1061,s982]) ).

cnf(s1065,plain,
    ~ spl0_4,
    inference(rat,[],[s1036,s1064]) ).

cnf(s1066,plain,
    ~ spl0_50,
    inference(rat,[],[s1041,s1064]) ).

cnf(s1067,plain,
    ( ~ spl0_56
    | ~ spl0_29 ),
    inference(rat,[],[s430,s107,s108,s141]) ).

cnf(s1069,plain,
    ( ~ spl0_57
    | ~ spl0_5
    | ~ spl0_19 ),
    inference(rat,[],[s796,s89,s91]) ).

cnf(s1070,plain,
    ( ~ spl0_5
    | spl0_35
    | ~ spl0_19 ),
    inference(rat,[],[s387,s81,s82,s125,s50,s1069,s982]) ).

cnf(s1071,plain,
    ( spl0_20
    | spl0_11 ),
    inference(rat,[],[s1008,s22,s16,s1067,s49,s1070,s1004,s23,s1040,s38,s1043,s1039,s991,s4,s61,s1045,s982,s1066,s1064,s1057]) ).

cnf(s1072,plain,
    ( spl0_10
    | spl0_11 ),
    inference(rat,[],[s322,s107,s141,s6,s49,s756,s280,s910,s101,s138,s1044,s5,s13,s4,s133,s132,s95,s999,s1071,s1056,s982,s1064,s1065]) ).

cnf(s1073,plain,
    spl0_11,
    inference(rat,[],[s387,s2,s81,s82,s125,s910,s60,s590,s646,s23,s1040,s38,s1050,s1039,s1072,s999,s95,s132,s133,s1071,s982,s1066,s1064]) ).

cnf(s1074,plain,
    ~ spl0_31,
    inference(rat,[],[s1030,s1073]) ).

cnf(s1075,plain,
    spl0_20,
    inference(rat,[],[s843,s103,s104,s139,s16,s1067,s526,s49,s2,s1070,s1040,s38,s1054,s45,s1038,s991,s165,s61,s982,s1074,s1066,s1073,s1057]) ).

cnf(s1076,plain,
    spl0_129,
    inference(rat,[],[s133,s1075]) ).

cnf(s1077,plain,
    spl0_128,
    inference(rat,[],[s132,s1075]) ).

cnf(s1078,plain,
    ~ spl0_90,
    inference(rat,[],[s95,s1075]) ).

cnf(s1079,plain,
    ~ spl0_8,
    inference(rat,[],[s999,s1075]) ).

cnf(s1080,plain,
    spl0_10,
    inference(rat,[],[s322,s107,s141,s6,s49,s756,s280,s910,s101,s138,s5,s13,s1056,s982,s1074,s1078,s1077,s1076,s1079,s1065]) ).

cnf(s1081,plain,
    ~ spl0_7,
    inference(rat,[],[s1053,s990,s1080,s1064,s1073]) ).

cnf(s1082,plain,
    spl0_26,
    inference(rat,[],[s38,s982,s1066,s1081]) ).

cnf(s1086,plain,
    ~ spl0_35,
    inference(rat,[],[s1040,s1082]) ).

cnf(s1087,plain,
    spl0_16,
    inference(rat,[],[s23,s1074,s982,s1086]) ).

cnf(s1088,plain,
    ~ spl0_51,
    inference(rat,[],[s646,s1076,s1078,s1087]) ).

cnf(s1089,plain,
    ~ spl0_168,
    inference(rat,[],[s590,s1078,s1076,s1087]) ).

cnf(s1091,plain,
    spl0_44,
    inference(rat,[],[s60,s1074,s982,s1088]) ).

cnf(s1093,plain,
    ~ spl0_6,
    inference(rat,[],[s910,s1077,s1076,s1089]) ).

cnf(s1095,plain,
    spl0_121,
    inference(rat,[],[s125,s1091]) ).

cnf(s1096,plain,
    ~ spl0_77,
    inference(rat,[],[s82,s1091]) ).

cnf(s1097,plain,
    ~ spl0_76,
    inference(rat,[],[s81,s1091]) ).

cnf(s1101,plain,
    spl0_5,
    inference(rat,[],[s2,s1081,s982,s1093]) ).

cnf(s1106,plain,
    $false,
    inference(rat,[],[s387,s1095,s1101,s1096,s1097]) ).

fof(f3216,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1106]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN483-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18  % Computer : n004.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 16:15:22 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21  Running first-order theorem proving
% 0.08/0.21  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.65/0.99  % (497695)Input is clausal, will run a generic CNF schedule.
% 0.65/0.99  % (497779)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=151645574:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.65/0.99  % (497779)First to succeed.
% 0.65/0.99  % (497779)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-497695"
% 0.65/0.99  % (497771)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=2237328622:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.65/0.99  % (497773)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=910273350:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.65/0.99  % (497777)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1131803063:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.65/0.99  % (497776)lrs+10_1_sil=8000:sp=occurrence:random_seed=2736544164:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.65/0.99  % (497780)dis-21_1_sil=8000:lcm=predicate:random_seed=4145874682: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)
% 0.65/0.99  % (497774)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1876359644:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.65/0.99  % (497780)Also succeeded, but the first one will report.
% 0.65/0.99  % (497777)Also succeeded, but the first one will report.
% 0.65/0.99  % (497776)Also succeeded, but the first one will report.
% 0.65/0.99  % (497779)Refutation found. Thanks to Tanya!
% 0.65/0.99  % SZS status Unsatisfiable for theBenchmark
% 0.65/0.99  % SZS output start Proof for theBenchmark
% See solution above
% 2.88/1.19  % (497779)------------------------------
% 2.88/1.19  % (497779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.88/1.19  % (497779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/1.19  % (497779)CaDiCaL version: 2.1.3
% 2.88/1.19  % (497779)Termination reason: Refutation
% 2.88/1.19  % (497779)Time elapsed: 0.027 s
% 2.88/1.19  % (497779)Peak memory usage: 91 MB
% 2.88/1.19  % (497779)Instructions burned: 74 (million)
% 2.88/1.19  % (497779)------------------------------
% 2.88/1.19  % (497779)------------------------------
% 2.88/1.19  % (497695)Success in time 0.327 s
% 2.88/1.19  % Vampire exiting
%------------------------------------------------------------------------------