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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN484-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 01:57:00 PM UTC 2026

% Result   : Unsatisfiable 3.09s 1.10s
% Output   : Refutation 3.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :  255
% Syntax   : Number of formulae    :  840 (  18 unt; 135 def)
%            Number of atoms       : 2672 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3221 (1389   ~;1697   |;   0   &)
%                                         ( 135 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  165 ( 164 usr; 161 prp; 0-1 aty)
%            Number of functors    :   24 (  24 usr;  24 con; 0-0 aty)
%            Number of variables   :  148 (   0 sgn 148   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( ~ hskp30
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f4,negated_conjecture,
    ( ~ hskp27
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

fof(f25,negated_conjecture,
    ( ~ hskp6
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).

fof(f32,negated_conjecture,
    ( hskp28
    | hskp1
    | hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).

fof(f33,negated_conjecture,
    ( hskp23
    | hskp5
    | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

fof(f34,negated_conjecture,
    ( hskp30
    | hskp27
    | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f37,negated_conjecture,
    ( ~ hskp30
    | c0_1(a2005) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( ~ hskp30
    | c2_1(a2005) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f40,negated_conjecture,
    ( ~ hskp29
    | c0_1(a1978) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ( ~ hskp29
    | c1_1(a1978) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( ~ hskp29
    | c2_1(a1978) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( ~ hskp28
    | c0_1(a1972) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp28
    | c1_1(a1972) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp28
    | c3_1(a1972) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp27
    | c1_1(a1970) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp27
    | c2_1(a1970) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp27
    | c3_1(a1970) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f51,negated_conjecture,
    ( ~ hskp23
    | c0_1(a2014) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp23
    | c1_1(a2014) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( ~ hskp22
    | c0_1(a2012) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( ~ hskp21
    | c2_1(a2009) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f55,negated_conjecture,
    ( ~ hskp20
    | c1_1(a2003) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( ~ hskp20
    | c2_1(a2003) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f59,negated_conjecture,
    ( ~ hskp17
    | c1_1(a1998) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp17
    | c3_1(a1998) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f64,negated_conjecture,
    ( ~ hskp14
    | c1_1(a1992) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( ~ hskp13
    | c0_1(a1991) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( ~ hskp13
    | c2_1(a1991) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( ~ hskp12
    | c3_1(a1990) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp11
    | c2_1(a1989) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp10
    | c2_1(a1987) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp10
    | c3_1(a1987) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp9
    | c1_1(a1985) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp8
    | c3_1(a1983) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp7
    | c0_1(a1981) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp7
    | c1_1(a1981) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp6
    | c3_1(a1979) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp5
    | c1_1(a1977) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp4
    | c0_1(a1975) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp3
    | c1_1(a1974) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp3
    | c2_1(a1974) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp2
    | c1_1(a1973) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp2
    | c3_1(a1973) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp1
    | c0_1(a1971) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ hskp1
    | c2_1(a1971) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f91,negated_conjecture,
    ( ~ c2_1(a2014)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ c2_1(a2012)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f94,negated_conjecture,
    ( ~ c1_1(a2009)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ c3_1(a2009)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ c3_1(a2003)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f98,negated_conjecture,
    ( ~ c0_1(a2000)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c1_1(a2000)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c3_1(a2000)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ c0_1(a1998)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f105,negated_conjecture,
    ( ~ c0_1(a1992)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c2_1(a1992)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c3_1(a1991)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c1_1(a1990)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ c2_1(a1990)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c0_1(a1989)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ c3_1(a1989)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ c1_1(a1987)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ c0_1(a1985)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c3_1(a1985)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c0_1(a1983)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c1_1(a1983)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c3_1(a1981)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c0_1(a1979)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ c2_1(a1979)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ c2_1(a1977)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c3_1(a1977)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c1_1(a1975)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ c2_1(a1975)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ c0_1(a1974)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ c2_1(a1973)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ c1_1(a1971)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f131,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp29
      | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp28
      | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f133,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp9
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp30
      | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f136,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp1
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp22
      | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f138,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp23
      | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f139,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp3
      | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

fof(f140,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp13
      | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp4
      | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f144,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp13
      | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp10
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f147,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp6
      | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

fof(f150,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp11
      | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f151,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp4
      | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f154,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp14
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f155,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f157,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp3
      | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f163,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f167,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f168,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f171,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f172,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f173,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f177,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f178,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f180,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f185,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X1)
      | hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f186,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c2_1(X1)
      | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f187,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

fof(f188,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

fof(f189,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

fof(f190,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).

fof(f192,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X1)
      | c2_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).

fof(f193,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | c2_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).

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

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

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

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

fof(f201,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f202,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f201]) ).

fof(f204,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f205,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f204]) ).

fof(f207,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f210,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f211,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f212,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f199,f210,f207,f204,f201]) ).

fof(f214,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f215,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c1_1(X2)
        | c2_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f217,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f218,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f220,definition,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f221,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f222,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f198,f220,f207,f217,f214]) ).

fof(f224,definition,
    ( spl0_8
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f225,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f227,definition,
    ( spl0_9
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f228,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f231,definition,
    ( spl0_10
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f232,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f233,plain,
    ( spl0_8
    | spl0_10
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f196,f227,f207,f231,f224]) ).

fof(f235,definition,
    ( spl0_11
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f236,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f238,definition,
    ( spl0_12
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f239,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f241,plain,
    ( spl0_11
    | spl0_8
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f194,f204,f207,f224,f235]) ).

fof(f242,plain,
    ( spl0_11
    | spl0_1
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f193,f217,f207,f201,f235]) ).

fof(f244,definition,
    ( spl0_13
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f245,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f246,plain,
    ( spl0_13
    | spl0_11
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f192,f210,f207,f235,f244]) ).

fof(f248,definition,
    ( spl0_14
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f249,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c1_1(X2)
        | c2_1(X2) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f252,definition,
    ( spl0_15
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f253,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f254,plain,
    ( spl0_11
    | spl0_15
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f190,f214,f207,f252,f235]) ).

fof(f255,plain,
    ( spl0_13
    | spl0_15
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f189,f231,f207,f252,f244]) ).

fof(f257,definition,
    ( spl0_16
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f258,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f260,definition,
    ( spl0_17
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f261,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f262,plain,
    ( spl0_13
    | spl0_16
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f188,f260,f207,f257,f244]) ).

fof(f264,definition,
    ( spl0_18
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f267,definition,
    ( spl0_19
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f268,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f270,definition,
    ( spl0_20
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f271,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f272,plain,
    ( spl0_18
    | spl0_19
    | ~ spl0_3
    | spl0_20 ),
    inference(avatar_split_clause,[],[f187,f270,f207,f267,f264]) ).

fof(f274,definition,
    ( spl0_21
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f276,plain,
    ( spl0_21
    | spl0_6
    | ~ spl0_3
    | spl0_20 ),
    inference(avatar_split_clause,[],[f186,f270,f207,f217,f274]) ).

fof(f278,definition,
    ( spl0_22
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f281,definition,
    ( spl0_23
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f282,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f283,plain,
    ( spl0_22
    | spl0_9
    | ~ spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f185,f281,f207,f227,f278]) ).

fof(f288,definition,
    ( spl0_25
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f289,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f295,definition,
    ( spl0_27
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f296,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f298,definition,
    ( spl0_28
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f299,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f302,definition,
    ( spl0_29
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f303,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f304,plain,
    ( spl0_18
    | spl0_29
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f182,f220,f207,f302,f264]) ).

fof(f306,definition,
    ( spl0_30
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f309,plain,
    ( spl0_27
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f180,f204,f207,f295]) ).

fof(f311,definition,
    ( spl0_31
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f313,plain,
    ( spl0_31
    | spl0_16
    | ~ spl0_3
    | spl0_28 ),
    inference(avatar_split_clause,[],[f179,f298,f207,f257,f311]) ).

fof(f315,definition,
    ( spl0_32
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f317,plain,
    ( spl0_32
    | spl0_16
    | ~ spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f178,f288,f207,f257,f315]) ).

fof(f319,definition,
    ( spl0_33
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f321,plain,
    ( spl0_33
    | spl0_1
    | ~ spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f177,f288,f207,f201,f319]) ).

fof(f322,plain,
    ( spl0_18
    | spl0_11
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f176,f204,f207,f235,f264]) ).

fof(f324,definition,
    ( spl0_34
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f328,definition,
    ( spl0_35
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f330,plain,
    ( spl0_35
    | spl0_11
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f174,f295,f207,f235,f328]) ).

fof(f332,definition,
    ( spl0_36
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f334,plain,
    ( spl0_36
    | spl0_11
    | ~ spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f173,f288,f207,f235,f332]) ).

fof(f336,definition,
    ( spl0_37
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f339,definition,
    ( spl0_38
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f340,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f341,plain,
    ( spl0_37
    | spl0_38
    | ~ spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f172,f302,f207,f339,f336]) ).

fof(f343,definition,
    ( spl0_39
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f346,definition,
    ( spl0_40
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f347,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f348,plain,
    ( spl0_39
    | spl0_40
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f171,f267,f207,f346,f343]) ).

fof(f354,definition,
    ( spl0_42
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f358,definition,
    ( spl0_43
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f360,plain,
    ( spl0_43
    | spl0_15
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f168,f214,f207,f252,f358]) ).

fof(f361,plain,
    ( spl0_33
    | spl0_14
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f167,f204,f207,f248,f319]) ).

fof(f371,definition,
    ( spl0_46
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f377,plain,
    ( spl0_46
    | spl0_13
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f163,f204,f207,f244,f371]) ).

fof(f379,definition,
    ( spl0_48
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f391,definition,
    ( spl0_51
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f394,definition,
    ( spl0_52
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f404,plain,
    ( spl0_34
    | spl0_30
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f157,f210,f207,f306,f324]) ).

fof(f407,definition,
    ( spl0_55
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f409,plain,
    ( spl0_55
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f155,f210,f207,f407]) ).

fof(f410,plain,
    ( spl0_18
    | spl0_31
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f154,f260,f207,f311,f264]) ).

fof(f416,plain,
    ( spl0_55
    | spl0_52
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f151,f267,f207,f394,f407]) ).

fof(f417,plain,
    ( spl0_33
    | spl0_51
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f150,f217,f207,f391,f319]) ).

fof(f420,definition,
    ( spl0_57
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f424,definition,
    ( spl0_58
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f427,definition,
    ( spl0_59
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f429,plain,
    ( spl0_58
    | spl0_59
    | ~ spl0_3
    | spl0_28 ),
    inference(avatar_split_clause,[],[f147,f298,f207,f427,f424]) ).

fof(f431,definition,
    ( spl0_60
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f434,plain,
    ( spl0_51
    | spl0_18
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f145,f231,f207,f264,f391]) ).

fof(f435,plain,
    ( spl0_21
    | spl0_32
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f144,f295,f207,f315,f274]) ).

fof(f436,plain,
    ( spl0_58
    | spl0_52
    | ~ spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f143,f288,f207,f394,f424]) ).

fof(f437,plain,
    ( spl0_55
    | spl0_32
    | ~ spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f142,f288,f207,f315,f407]) ).

fof(f442,plain,
    ( spl0_18
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f140,f227,f207,f264]) ).

fof(f443,plain,
    ( spl0_55
    | spl0_30
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f139,f238,f207,f306,f407]) ).

fof(f445,definition,
    ( spl0_62
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f447,plain,
    ( spl0_59
    | spl0_62
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f138,f238,f207,f445,f427]) ).

fof(f448,plain,
    ( spl0_48
    | spl0_57
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f137,f252,f207,f420,f379]) ).

fof(f449,plain,
    ( spl0_18
    | spl0_46
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f136,f252,f207,f371,f264]) ).

fof(f451,plain,
    ( spl0_39
    | spl0_60
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f134,f224,f207,f431,f343]) ).

fof(f452,plain,
    ( spl0_51
    | spl0_35
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f133,f235,f207,f328,f391]) ).

fof(f453,plain,
    ( spl0_34
    | spl0_42
    | ~ spl0_3
    | spl0_38 ),
    inference(avatar_split_clause,[],[f132,f339,f207,f354,f324]) ).

fof(f454,plain,
    ( spl0_59
    | spl0_36
    | ~ spl0_3
    | spl0_40 ),
    inference(avatar_split_clause,[],[f131,f346,f207,f332,f427]) ).

fof(f471,definition,
    ( spl0_66
  <=> c1_1(a1971) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f473,plain,
    ( ~ spl0_46
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f126,f471,f371]) ).

fof(f476,definition,
    ( spl0_67
  <=> c2_1(a1973) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f478,plain,
    ( ~ spl0_48
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f125,f476,f379]) ).

fof(f481,definition,
    ( spl0_68
  <=> c0_1(a1974) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f482,plain,
    ( ~ c0_1(a1974)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f483,plain,
    ( ~ spl0_30
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f124,f481,f306]) ).

fof(f486,definition,
    ( spl0_69
  <=> c2_1(a1975) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f488,plain,
    ( ~ spl0_52
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f123,f486,f394]) ).

fof(f490,definition,
    ( spl0_70
  <=> c1_1(a1975) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f492,plain,
    ( ~ spl0_52
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f122,f490,f394]) ).

fof(f495,definition,
    ( spl0_71
  <=> c3_1(a1977) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f496,plain,
    ( ~ c3_1(a1977)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f497,plain,
    ( ~ spl0_39
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f121,f495,f343]) ).

fof(f499,definition,
    ( spl0_72
  <=> c2_1(a1977) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f501,plain,
    ( ~ spl0_39
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f120,f499,f343]) ).

fof(f504,definition,
    ( spl0_73
  <=> c2_1(a1979) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f506,plain,
    ( ~ spl0_59
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f119,f504,f427]) ).

fof(f508,definition,
    ( spl0_74
  <=> c0_1(a1979) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f510,plain,
    ( ~ spl0_59
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f118,f508,f427]) ).

fof(f513,definition,
    ( spl0_75
  <=> c3_1(a1981) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f514,plain,
    ( ~ c3_1(a1981)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f515,plain,
    ( ~ spl0_37
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f117,f513,f336]) ).

fof(f518,definition,
    ( spl0_76
  <=> c1_1(a1983) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f520,plain,
    ( ~ spl0_34
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f116,f518,f324]) ).

fof(f522,definition,
    ( spl0_77
  <=> c0_1(a1983) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f524,plain,
    ( ~ spl0_34
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f115,f522,f324]) ).

fof(f527,definition,
    ( spl0_78
  <=> c3_1(a1985) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f528,plain,
    ( ~ c3_1(a1985)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f529,plain,
    ( ~ spl0_35
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f114,f527,f328]) ).

fof(f531,definition,
    ( spl0_79
  <=> c0_1(a1985) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f532,plain,
    ( ~ c0_1(a1985)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f533,plain,
    ( ~ spl0_35
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f113,f531,f328]) ).

fof(f536,definition,
    ( spl0_80
  <=> c1_1(a1987) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f538,plain,
    ( ~ spl0_18
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f112,f536,f264]) ).

fof(f541,definition,
    ( spl0_81
  <=> c3_1(a1989) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f542,plain,
    ( ~ c3_1(a1989)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f543,plain,
    ( ~ spl0_51
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f111,f541,f391]) ).

fof(f545,definition,
    ( spl0_82
  <=> c0_1(a1989) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f546,plain,
    ( ~ c0_1(a1989)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f547,plain,
    ( ~ spl0_51
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f110,f545,f391]) ).

fof(f550,definition,
    ( spl0_83
  <=> c2_1(a1990) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f552,plain,
    ( ~ spl0_33
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f109,f550,f319]) ).

fof(f554,definition,
    ( spl0_84
  <=> c1_1(a1990) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f556,plain,
    ( ~ spl0_33
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f108,f554,f319]) ).

fof(f559,definition,
    ( spl0_85
  <=> c3_1(a1991) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f560,plain,
    ( ~ c3_1(a1991)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f561,plain,
    ( ~ spl0_32
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f107,f559,f315]) ).

fof(f564,definition,
    ( spl0_86
  <=> c2_1(a1992) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f566,plain,
    ( ~ spl0_31
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f106,f564,f311]) ).

fof(f568,definition,
    ( spl0_87
  <=> c0_1(a1992) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f569,plain,
    ( ~ c0_1(a1992)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f570,plain,
    ( ~ spl0_31
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f105,f568,f311]) ).

fof(f587,definition,
    ( spl0_91
  <=> c0_1(a1998) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f588,plain,
    ( ~ c0_1(a1998)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f589,plain,
    ( ~ spl0_55
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f101,f587,f407]) ).

fof(f592,definition,
    ( spl0_92
  <=> c3_1(a2000) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f593,plain,
    ( ~ c3_1(a2000)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f594,plain,
    ( ~ spl0_58
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f100,f592,f424]) ).

fof(f596,definition,
    ( spl0_93
  <=> c1_1(a2000) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f598,plain,
    ( ~ spl0_58
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f99,f596,f424]) ).

fof(f600,definition,
    ( spl0_94
  <=> c0_1(a2000) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f602,plain,
    ( ~ spl0_58
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f98,f600,f424]) ).

fof(f610,definition,
    ( spl0_96
  <=> c3_1(a2003) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f611,plain,
    ( ~ c3_1(a2003)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f612,plain,
    ( ~ spl0_21
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f96,f610,f274]) ).

fof(f615,definition,
    ( spl0_97
  <=> c3_1(a2009) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f616,plain,
    ( ~ c3_1(a2009)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f617,plain,
    ( ~ spl0_43
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f95,f615,f358]) ).

fof(f619,definition,
    ( spl0_98
  <=> c1_1(a2009) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f621,plain,
    ( ~ spl0_43
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f94,f619,f358]) ).

fof(f628,definition,
    ( spl0_100
  <=> c2_1(a2012) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f630,plain,
    ( ~ spl0_57
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f92,f628,f420]) ).

fof(f633,definition,
    ( spl0_101
  <=> c2_1(a2014) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f635,plain,
    ( ~ spl0_62
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f91,f633,f445]) ).

fof(f668,definition,
    ( spl0_109
  <=> c2_1(a1971) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f670,plain,
    ( spl0_109
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f83,f371,f668]) ).

fof(f672,definition,
    ( spl0_110
  <=> c0_1(a1971) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f673,plain,
    ( c0_1(a1971)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f674,plain,
    ( spl0_110
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f82,f371,f672]) ).

fof(f676,definition,
    ( spl0_111
  <=> c3_1(a1973) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f677,plain,
    ( c3_1(a1973)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f678,plain,
    ( spl0_111
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f81,f379,f676]) ).

fof(f680,definition,
    ( spl0_112
  <=> c1_1(a1973) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f682,plain,
    ( spl0_112
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f80,f379,f680]) ).

fof(f684,definition,
    ( spl0_113
  <=> c2_1(a1974) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f686,plain,
    ( spl0_113
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f79,f306,f684]) ).

fof(f688,definition,
    ( spl0_114
  <=> c1_1(a1974) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f690,plain,
    ( spl0_114
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f78,f306,f688]) ).

fof(f692,definition,
    ( spl0_115
  <=> c0_1(a1975) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f693,plain,
    ( c0_1(a1975)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f692]) ).

fof(f694,plain,
    ( spl0_115
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f77,f394,f692]) ).

fof(f696,definition,
    ( spl0_116
  <=> c1_1(a1977) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f698,plain,
    ( spl0_116
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f76,f343,f696]) ).

fof(f700,definition,
    ( spl0_117
  <=> c3_1(a1979) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f701,plain,
    ( c3_1(a1979)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f702,plain,
    ( spl0_117
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f75,f427,f700]) ).

fof(f704,definition,
    ( spl0_118
  <=> c1_1(a1981) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f706,plain,
    ( spl0_118
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f74,f336,f704]) ).

fof(f708,definition,
    ( spl0_119
  <=> c0_1(a1981) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f709,plain,
    ( c0_1(a1981)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f710,plain,
    ( spl0_119
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f73,f336,f708]) ).

fof(f712,definition,
    ( spl0_120
  <=> c3_1(a1983) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f713,plain,
    ( c3_1(a1983)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f712]) ).

fof(f714,plain,
    ( spl0_120
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f72,f324,f712]) ).

fof(f716,definition,
    ( spl0_121
  <=> c1_1(a1985) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f718,plain,
    ( spl0_121
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f71,f328,f716]) ).

fof(f720,definition,
    ( spl0_122
  <=> c3_1(a1987) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f721,plain,
    ( c3_1(a1987)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f722,plain,
    ( spl0_122
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f70,f264,f720]) ).

fof(f724,definition,
    ( spl0_123
  <=> c2_1(a1987) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f726,plain,
    ( spl0_123
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f69,f264,f724]) ).

fof(f728,definition,
    ( spl0_124
  <=> c2_1(a1989) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f730,plain,
    ( spl0_124
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f68,f391,f728]) ).

fof(f732,definition,
    ( spl0_125
  <=> c3_1(a1990) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f733,plain,
    ( c3_1(a1990)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f734,plain,
    ( spl0_125
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f67,f319,f732]) ).

fof(f736,definition,
    ( spl0_126
  <=> c2_1(a1991) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f738,plain,
    ( spl0_126
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f66,f315,f736]) ).

fof(f740,definition,
    ( spl0_127
  <=> c0_1(a1991) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f741,plain,
    ( c0_1(a1991)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f742,plain,
    ( spl0_127
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f65,f315,f740]) ).

fof(f744,definition,
    ( spl0_128
  <=> c1_1(a1992) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f746,plain,
    ( spl0_128
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f64,f311,f744]) ).

fof(f760,definition,
    ( spl0_132
  <=> c3_1(a1998) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f761,plain,
    ( c3_1(a1998)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f762,plain,
    ( spl0_132
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f60,f407,f760]) ).

fof(f764,definition,
    ( spl0_133
  <=> c1_1(a1998) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f766,plain,
    ( spl0_133
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f59,f407,f764]) ).

fof(f776,definition,
    ( spl0_136
  <=> c2_1(a2003) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f778,plain,
    ( spl0_136
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f56,f274,f776]) ).

fof(f780,definition,
    ( spl0_137
  <=> c1_1(a2003) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f782,plain,
    ( spl0_137
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f55,f274,f780]) ).

fof(f784,definition,
    ( spl0_138
  <=> c2_1(a2009) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f786,plain,
    ( spl0_138
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f54,f358,f784]) ).

fof(f788,definition,
    ( spl0_139
  <=> c0_1(a2012) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f789,plain,
    ( c0_1(a2012)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f788]) ).

fof(f790,plain,
    ( spl0_139
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f53,f420,f788]) ).

fof(f792,definition,
    ( spl0_140
  <=> c1_1(a2014) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f794,plain,
    ( spl0_140
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f52,f445,f792]) ).

fof(f796,definition,
    ( spl0_141
  <=> c0_1(a2014) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f797,plain,
    ( c0_1(a2014)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f798,plain,
    ( spl0_141
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f51,f445,f796]) ).

fof(f808,definition,
    ( spl0_144
  <=> c3_1(a1970) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f809,plain,
    ( c3_1(a1970)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f808]) ).

fof(f811,plain,
    ( spl0_144
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f48,f278,f808]) ).

fof(f813,definition,
    ( spl0_145
  <=> c2_1(a1970) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f815,plain,
    ( spl0_145
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f47,f278,f813]) ).

fof(f817,definition,
    ( spl0_146
  <=> c1_1(a1970) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f819,plain,
    ( spl0_146
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f46,f278,f817]) ).

fof(f821,definition,
    ( spl0_147
  <=> c3_1(a1972) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f822,plain,
    ( c3_1(a1972)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f824,plain,
    ( spl0_147
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f45,f354,f821]) ).

fof(f826,definition,
    ( spl0_148
  <=> c1_1(a1972) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f828,plain,
    ( spl0_148
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f44,f354,f826]) ).

fof(f830,definition,
    ( spl0_149
  <=> c0_1(a1972) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f831,plain,
    ( c0_1(a1972)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f832,plain,
    ( spl0_149
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f43,f354,f830]) ).

fof(f834,definition,
    ( spl0_150
  <=> c2_1(a1978) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f837,plain,
    ( spl0_150
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f42,f332,f834]) ).

fof(f839,definition,
    ( spl0_151
  <=> c1_1(a1978) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f841,plain,
    ( spl0_151
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f41,f332,f839]) ).

fof(f843,definition,
    ( spl0_152
  <=> c0_1(a1978) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f844,plain,
    ( c0_1(a1978)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f845,plain,
    ( spl0_152
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f40,f332,f843]) ).

fof(f852,definition,
    ( spl0_154
  <=> c2_1(a2005) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f854,plain,
    ( spl0_154
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f38,f431,f852]) ).

fof(f856,definition,
    ( spl0_155
  <=> c0_1(a2005) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f857,plain,
    ( c0_1(a2005)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f858,plain,
    ( spl0_155
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f37,f431,f856]) ).

fof(f861,plain,
    ( spl0_59
    | spl0_22
    | spl0_60 ),
    inference(avatar_split_clause,[],[f34,f431,f278,f427]) ).

fof(f862,plain,
    ( spl0_34
    | spl0_39
    | spl0_62 ),
    inference(avatar_split_clause,[],[f33,f445,f343,f324]) ).

fof(f863,plain,
    ( spl0_43
    | spl0_46
    | spl0_42 ),
    inference(avatar_split_clause,[],[f32,f354,f371,f358]) ).

fof(f871,plain,
    ( spl0_3
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f25,f427,f207]) ).

fof(f892,plain,
    ( spl0_3
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f4,f278,f207]) ).

fof(f895,plain,
    ( spl0_3
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f1,f431,f207]) ).

fof(f900,definition,
    ( spl0_156
  <=> c1_1(a1979) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f910,definition,
    ( spl0_157
  <=> c0_1(a1977) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f911,plain,
    ( ~ c0_1(a1977)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f910]) ).

fof(f920,plain,
    ( c1_1(a1987)
    | ~ c2_1(a1987)
    | ~ spl0_9
    | ~ spl0_122 ),
    inference(resolution,[],[f721,f228]) ).

fof(f925,plain,
    ( c2_1(a1979)
    | c0_1(a1979)
    | ~ spl0_11
    | ~ spl0_117 ),
    inference(resolution,[],[f236,f701]) ).

fof(f929,plain,
    ( spl0_74
    | spl0_73
    | ~ spl0_11
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f925,f700,f235,f504,f508]) ).

fof(f940,definition,
    ( spl0_158
  <=> c2_1(a2000) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f946,plain,
    ( c0_1(a2000)
    | c1_1(a2000)
    | ~ spl0_13
    | spl0_92 ),
    inference(resolution,[],[f245,f593]) ).

fof(f961,plain,
    ( ~ spl0_123
    | spl0_80
    | ~ spl0_9
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f920,f720,f227,f536,f724]) ).

fof(f962,plain,
    ( c0_1(a1989)
    | c1_1(a1989)
    | ~ spl0_13
    | spl0_81 ),
    inference(resolution,[],[f542,f245]) ).

fof(f966,definition,
    ( spl0_160
  <=> c1_1(a1989) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f986,definition,
    ( spl0_161
  <=> c2_1(a1983) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f999,plain,
    ( c2_1(a1979)
    | c1_1(a1979)
    | ~ spl0_15
    | ~ spl0_117 ),
    inference(resolution,[],[f253,f701]) ).

fof(f1018,plain,
    ( ~ c1_1(a1985)
    | c0_1(a1985)
    | ~ spl0_1
    | spl0_78 ),
    inference(resolution,[],[f202,f528]) ).

fof(f1021,plain,
    ( c0_1(a1977)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f910]) ).

fof(f1024,plain,
    ( spl0_79
    | ~ spl0_121
    | ~ spl0_1
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1018,f527,f201,f716,f531]) ).

fof(f1028,plain,
    ( c2_1(a1990)
    | c1_1(a1990)
    | ~ spl0_15
    | ~ spl0_125 ),
    inference(resolution,[],[f733,f253]) ).

fof(f1034,definition,
    ( spl0_162
  <=> c2_1(a1998) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1038,plain,
    ( c2_1(a2014)
    | ~ c1_1(a2014)
    | ~ spl0_2
    | ~ spl0_141 ),
    inference(resolution,[],[f205,f797]) ).

fof(f1045,plain,
    ( ~ spl0_140
    | spl0_101
    | ~ spl0_2
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1038,f796,f204,f633,f792]) ).

fof(f1070,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(resolution,[],[f236,f202]) ).

fof(f1073,plain,
    ( c2_1(a1998)
    | c0_1(a1998)
    | ~ spl0_11
    | ~ spl0_132 ),
    inference(resolution,[],[f236,f761]) ).

fof(f1076,plain,
    ( c2_1(a1983)
    | c0_1(a1983)
    | ~ spl0_11
    | ~ spl0_120 ),
    inference(resolution,[],[f236,f713]) ).

fof(f1077,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f1070]) ).

fof(f1082,plain,
    ( spl0_38
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f1077,f235,f201,f339]) ).

fof(f1086,plain,
    ( ~ c2_1(a1989)
    | c1_1(a1989)
    | ~ spl0_12
    | spl0_81 ),
    inference(resolution,[],[f239,f542]) ).

fof(f1090,plain,
    ( spl0_160
    | ~ spl0_124
    | ~ spl0_12
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1086,f541,f238,f728,f966]) ).

fof(f1096,plain,
    ( c1_1(a2000)
    | c2_1(a2000)
    | ~ spl0_14
    | spl0_92 ),
    inference(resolution,[],[f249,f593]) ).

fof(f1109,plain,
    ( ~ c2_1(a1989)
    | c0_1(a1989)
    | ~ spl0_16
    | spl0_81 ),
    inference(resolution,[],[f258,f542]) ).

fof(f1113,plain,
    ( spl0_82
    | ~ spl0_124
    | ~ spl0_16
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1109,f541,f257,f728,f545]) ).

fof(f1117,plain,
    ( ~ c1_1(a1989)
    | ~ c2_1(a1989)
    | ~ spl0_17
    | spl0_81 ),
    inference(resolution,[],[f261,f542]) ).

fof(f1146,definition,
    ( spl0_163
  <=> c0_1(a1970) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1170,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_16
    | ~ spl0_23 ),
    inference(resolution,[],[f282,f258]) ).

fof(f1182,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_16
    | ~ spl0_23 ),
    inference(duplicate_literal_removal,[],[f1170]) ).

fof(f1192,plain,
    ( spl0_29
    | ~ spl0_16
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f1182,f281,f257,f302]) ).

fof(f1201,definition,
    ( spl0_165
  <=> c2_1(a1972) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1213,definition,
    ( spl0_166
  <=> c1_1(a2005) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1220,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_9
    | ~ spl0_19 ),
    inference(resolution,[],[f228,f268]) ).

fof(f1234,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_9
    | ~ spl0_19 ),
    inference(duplicate_literal_removal,[],[f1220]) ).

fof(f1239,plain,
    ( spl0_10
    | ~ spl0_9
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f1234,f267,f227,f231]) ).

fof(f1245,plain,
    ( c1_1(a1971)
    | ~ c2_1(a1971)
    | ~ spl0_10
    | ~ spl0_110 ),
    inference(resolution,[],[f232,f673]) ).

fof(f1250,plain,
    ( spl0_160
    | spl0_82
    | ~ spl0_13
    | spl0_81 ),
    inference(avatar_split_clause,[],[f962,f541,f244,f545,f966]) ).

fof(f1286,plain,
    ( ~ c2_1(a2000)
    | c1_1(a2000)
    | ~ spl0_12
    | spl0_92 ),
    inference(resolution,[],[f593,f239]) ).

fof(f1292,definition,
    ( spl0_169
  <=> c1_1(a2012) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1307,plain,
    ( c2_1(a1977)
    | ~ c1_1(a1977)
    | ~ spl0_2
    | ~ spl0_157 ),
    inference(resolution,[],[f205,f1021]) ).

fof(f1310,plain,
    ( ~ spl0_116
    | spl0_72
    | ~ spl0_2
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1307,f910,f204,f499,f696]) ).

fof(f1315,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_16
    | ~ spl0_25 ),
    inference(resolution,[],[f289,f258]) ).

fof(f1321,plain,
    ( c0_1(a1998)
    | ~ c1_1(a1998)
    | ~ spl0_25
    | ~ spl0_132 ),
    inference(resolution,[],[f289,f761]) ).

fof(f1325,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_16
    | ~ spl0_25 ),
    inference(duplicate_literal_removal,[],[f1315]) ).

fof(f1329,plain,
    ( spl0_29
    | ~ spl0_16
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f1325,f288,f257,f302]) ).

fof(f1335,plain,
    ( ~ c0_1(a1972)
    | ~ c1_1(a1972)
    | ~ spl0_20
    | ~ spl0_147 ),
    inference(resolution,[],[f271,f822]) ).

fof(f1349,plain,
    ( ~ spl0_133
    | spl0_91
    | ~ spl0_25
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1321,f760,f288,f587,f764]) ).

fof(f1353,plain,
    ( ~ c2_1(a2005)
    | ~ c1_1(a2005)
    | ~ spl0_4
    | ~ spl0_155 ),
    inference(resolution,[],[f211,f857]) ).

fof(f1354,plain,
    ( ~ c2_1(a1978)
    | ~ c1_1(a1978)
    | ~ spl0_4
    | ~ spl0_152 ),
    inference(resolution,[],[f211,f844]) ).

fof(f1363,plain,
    ( ~ spl0_151
    | ~ spl0_150
    | ~ spl0_4
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1354,f843,f210,f834,f839]) ).

fof(f1364,plain,
    ( ~ spl0_166
    | ~ spl0_154
    | ~ spl0_4
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1353,f856,f210,f852,f1213]) ).

fof(f1370,plain,
    ( ~ spl0_148
    | ~ spl0_149
    | ~ spl0_20
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1335,f821,f270,f830,f826]) ).

fof(f1378,definition,
    ( spl0_170
  <=> c1_1(a1991) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1387,plain,
    ( ~ c2_1(a1991)
    | ~ c1_1(a1991)
    | ~ spl0_4
    | ~ spl0_127 ),
    inference(resolution,[],[f741,f211]) ).

fof(f1389,plain,
    ( ~ spl0_170
    | ~ spl0_126
    | ~ spl0_4
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1387,f740,f210,f736,f1378]) ).

fof(f1394,plain,
    ( c2_1(a2012)
    | c1_1(a2012)
    | ~ spl0_8
    | ~ spl0_139 ),
    inference(resolution,[],[f225,f789]) ).

fof(f1395,plain,
    ( c2_1(a1975)
    | c1_1(a1975)
    | ~ spl0_8
    | ~ spl0_115 ),
    inference(resolution,[],[f225,f693]) ).

fof(f1397,plain,
    ( spl0_70
    | spl0_69
    | ~ spl0_8
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1395,f692,f224,f486,f490]) ).

fof(f1414,plain,
    ( ~ c0_1(a1970)
    | ~ c1_1(a1970)
    | ~ spl0_20
    | ~ spl0_144 ),
    inference(resolution,[],[f271,f809]) ).

fof(f1419,plain,
    ( ~ spl0_146
    | ~ spl0_163
    | ~ spl0_20
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1414,f808,f270,f1146,f817]) ).

fof(f1456,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_1
    | ~ spl0_27 ),
    inference(resolution,[],[f296,f202]) ).

fof(f1460,plain,
    ( c0_1(a1983)
    | ~ c2_1(a1983)
    | ~ spl0_27
    | ~ spl0_120 ),
    inference(resolution,[],[f296,f713]) ).

fof(f1461,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_1
    | ~ spl0_27 ),
    inference(duplicate_literal_removal,[],[f1456]) ).

fof(f1467,definition,
    ( spl0_171
  <=> c0_1(a1987) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1471,plain,
    ( spl0_29
    | ~ spl0_1
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f1461,f295,f201,f302]) ).

fof(f1474,plain,
    ( ~ c2_1(a2003)
    | c0_1(a2003)
    | ~ spl0_16
    | spl0_96 ),
    inference(resolution,[],[f611,f258]) ).

fof(f1478,definition,
    ( spl0_172
  <=> c0_1(a2003) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1484,plain,
    ( spl0_172
    | ~ spl0_136
    | ~ spl0_16
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1474,f610,f257,f776,f1478]) ).

fof(f1492,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_17
    | ~ spl0_25 ),
    inference(resolution,[],[f261,f289]) ).

fof(f1499,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_17
    | ~ spl0_25 ),
    inference(duplicate_literal_removal,[],[f1492]) ).

fof(f1504,plain,
    ( spl0_29
    | ~ spl0_17
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f1499,f288,f260,f302]) ).

fof(f1509,plain,
    ( ~ spl0_161
    | spl0_77
    | ~ spl0_27
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1460,f712,f295,f522,f986]) ).

fof(f1535,plain,
    ( c0_1(a1970)
    | ~ c2_1(a1970)
    | ~ spl0_27
    | ~ spl0_144 ),
    inference(resolution,[],[f296,f809]) ).

fof(f1536,plain,
    ( c0_1(a1987)
    | ~ c2_1(a1987)
    | ~ spl0_27
    | ~ spl0_122 ),
    inference(resolution,[],[f296,f721]) ).

fof(f1541,plain,
    ( ~ spl0_123
    | spl0_171
    | ~ spl0_27
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1536,f720,f295,f1467,f724]) ).

fof(f1544,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_19
    | ~ spl0_28 ),
    inference(resolution,[],[f299,f268]) ).

fof(f1545,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_12
    | ~ spl0_28 ),
    inference(resolution,[],[f299,f239]) ).

fof(f1548,plain,
    ( c1_1(a1987)
    | ~ c0_1(a1987)
    | ~ spl0_28
    | ~ spl0_122 ),
    inference(resolution,[],[f299,f721]) ).

fof(f1550,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_12
    | ~ spl0_28 ),
    inference(duplicate_literal_removal,[],[f1545]) ).

fof(f1551,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_19
    | ~ spl0_28 ),
    inference(duplicate_literal_removal,[],[f1544]) ).

fof(f1557,plain,
    ( spl0_10
    | ~ spl0_12
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f1550,f298,f238,f231]) ).

fof(f1558,plain,
    ( spl0_10
    | ~ spl0_19
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f1551,f298,f267,f231]) ).

fof(f1562,plain,
    ( ~ c1_1(a1998)
    | ~ c2_1(a1998)
    | ~ spl0_29
    | spl0_91 ),
    inference(resolution,[],[f303,f588]) ).

fof(f1565,plain,
    ( ~ c1_1(a1989)
    | ~ c2_1(a1989)
    | ~ spl0_29
    | spl0_82 ),
    inference(resolution,[],[f303,f546]) ).

fof(f1566,plain,
    ( ~ c1_1(a1985)
    | ~ c2_1(a1985)
    | ~ spl0_29
    | spl0_79 ),
    inference(resolution,[],[f303,f532]) ).

fof(f1569,plain,
    ( ~ c1_1(a1974)
    | ~ c2_1(a1974)
    | ~ spl0_29
    | spl0_68 ),
    inference(resolution,[],[f303,f482]) ).

fof(f1577,plain,
    ( ~ spl0_113
    | ~ spl0_114
    | ~ spl0_29
    | spl0_68 ),
    inference(avatar_split_clause,[],[f1569,f481,f302,f688,f684]) ).

fof(f1580,definition,
    ( spl0_173
  <=> c2_1(a1985) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1582,plain,
    ( ~ spl0_173
    | ~ spl0_121
    | ~ spl0_29
    | spl0_79 ),
    inference(avatar_split_clause,[],[f1566,f531,f302,f716,f1580]) ).

fof(f1583,plain,
    ( ~ spl0_124
    | ~ spl0_160
    | ~ spl0_29
    | spl0_82 ),
    inference(avatar_split_clause,[],[f1565,f545,f302,f966,f728]) ).

fof(f1584,plain,
    ( ~ spl0_162
    | ~ spl0_133
    | ~ spl0_29
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1562,f587,f302,f764,f1034]) ).

fof(f1588,plain,
    ( c2_1(a1998)
    | ~ c1_1(a1998)
    | ~ spl0_38
    | spl0_91 ),
    inference(resolution,[],[f340,f588]) ).

fof(f1592,plain,
    ( c2_1(a1985)
    | ~ c1_1(a1985)
    | ~ spl0_38
    | spl0_79 ),
    inference(resolution,[],[f340,f532]) ).

fof(f1594,plain,
    ( c2_1(a1977)
    | ~ c1_1(a1977)
    | ~ spl0_38
    | spl0_157 ),
    inference(resolution,[],[f340,f911]) ).

fof(f1612,plain,
    ( ~ spl0_109
    | spl0_66
    | ~ spl0_10
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1245,f672,f231,f471,f668]) ).

fof(f1613,plain,
    ( spl0_93
    | spl0_94
    | ~ spl0_13
    | spl0_92 ),
    inference(avatar_split_clause,[],[f946,f592,f244,f600,f596]) ).

fof(f1615,plain,
    ( ~ spl0_171
    | spl0_80
    | ~ spl0_28
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1548,f720,f298,f536,f1467]) ).

fof(f1626,plain,
    ( ~ c0_1(a1981)
    | ~ c2_1(a1981)
    | ~ spl0_19
    | spl0_75 ),
    inference(resolution,[],[f514,f268]) ).

fof(f1628,definition,
    ( spl0_174
  <=> c2_1(a1981) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1631,plain,
    ( ~ spl0_174
    | ~ spl0_119
    | ~ spl0_19
    | spl0_75 ),
    inference(avatar_split_clause,[],[f1626,f513,f267,f708,f1628]) ).

fof(f1633,plain,
    ( ~ c0_1(a2003)
    | ~ c2_1(a2003)
    | ~ spl0_19
    | spl0_96 ),
    inference(resolution,[],[f611,f268]) ).

fof(f1634,plain,
    ( ~ spl0_136
    | ~ spl0_172
    | ~ spl0_19
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1633,f610,f267,f1478,f776]) ).

fof(f1635,plain,
    ( c2_1(a1973)
    | ~ c1_1(a1973)
    | ~ spl0_6
    | ~ spl0_111 ),
    inference(resolution,[],[f677,f218]) ).

fof(f1647,plain,
    ( ~ spl0_112
    | spl0_67
    | ~ spl0_6
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1635,f676,f217,f476,f680]) ).

fof(f1654,plain,
    ( c0_1(a1979)
    | ~ c1_1(a1979)
    | ~ spl0_25
    | ~ spl0_117 ),
    inference(resolution,[],[f701,f289]) ).

fof(f1655,plain,
    ( ~ spl0_156
    | spl0_74
    | ~ spl0_25
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1654,f700,f288,f508,f900]) ).

fof(f1666,plain,
    ( spl0_169
    | spl0_100
    | ~ spl0_8
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1394,f788,f224,f628,f1292]) ).

fof(f1669,plain,
    ( spl0_74
    | spl0_73
    | ~ spl0_11
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f925,f700,f235,f504,f508]) ).

fof(f1672,plain,
    ( spl0_158
    | spl0_93
    | ~ spl0_14
    | spl0_92 ),
    inference(avatar_split_clause,[],[f1096,f592,f248,f596,f940]) ).

fof(f1674,plain,
    ( spl0_156
    | spl0_73
    | ~ spl0_15
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f999,f700,f252,f504,f900]) ).

fof(f1676,plain,
    ( spl0_84
    | spl0_83
    | ~ spl0_15
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1028,f732,f252,f550,f554]) ).

fof(f1678,plain,
    ( ~ spl0_145
    | spl0_163
    | ~ spl0_27
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1535,f808,f295,f1146,f813]) ).

fof(f1679,plain,
    ( ~ spl0_133
    | spl0_162
    | ~ spl0_38
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1588,f587,f339,f1034,f764]) ).

fof(f1707,plain,
    ( ~ c2_1(a1972)
    | ~ c1_1(a1972)
    | ~ spl0_4
    | ~ spl0_149 ),
    inference(resolution,[],[f831,f211]) ).

fof(f1708,plain,
    ( ~ spl0_148
    | ~ spl0_165
    | ~ spl0_4
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1707,f830,f210,f1201,f826]) ).

fof(f1709,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_5
    | ~ spl0_25 ),
    inference(resolution,[],[f215,f289]) ).

fof(f1716,plain,
    ( ~ c1_1(a1977)
    | c2_1(a1977)
    | ~ spl0_5
    | spl0_71 ),
    inference(resolution,[],[f215,f496]) ).

fof(f1720,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_5
    | ~ spl0_25 ),
    inference(duplicate_literal_removal,[],[f1709]) ).

fof(f1723,plain,
    ( spl0_72
    | ~ spl0_116
    | ~ spl0_5
    | spl0_71 ),
    inference(avatar_split_clause,[],[f1716,f495,f214,f696,f499]) ).

fof(f1727,plain,
    ( spl0_38
    | ~ spl0_5
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f1720,f288,f214,f339]) ).

fof(f1732,plain,
    ( ~ c0_1(a2003)
    | ~ c1_1(a2003)
    | ~ spl0_7
    | spl0_96 ),
    inference(resolution,[],[f221,f611]) ).

fof(f1735,plain,
    ( ~ c0_1(a1981)
    | ~ c1_1(a1981)
    | ~ spl0_7
    | spl0_75 ),
    inference(resolution,[],[f221,f514]) ).

fof(f1741,plain,
    ( ~ spl0_118
    | ~ spl0_119
    | ~ spl0_7
    | spl0_75 ),
    inference(avatar_split_clause,[],[f1735,f513,f220,f708,f704]) ).

fof(f1742,plain,
    ( ~ spl0_137
    | ~ spl0_172
    | ~ spl0_7
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1732,f610,f220,f1478,f780]) ).

fof(f1778,plain,
    ( spl0_93
    | ~ spl0_158
    | ~ spl0_12
    | spl0_92 ),
    inference(avatar_split_clause,[],[f1286,f592,f238,f940,f596]) ).

fof(f1779,plain,
    ( ~ spl0_124
    | ~ spl0_160
    | ~ spl0_17
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1117,f541,f260,f966,f728]) ).

fof(f1785,plain,
    ( spl0_77
    | spl0_161
    | ~ spl0_11
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1076,f712,f235,f986,f522]) ).

fof(f1786,plain,
    ( spl0_91
    | spl0_162
    | ~ spl0_11
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1073,f760,f235,f1034,f587]) ).

fof(f1790,plain,
    ( c2_1(a1972)
    | ~ c1_1(a1972)
    | ~ spl0_2
    | ~ spl0_149 ),
    inference(resolution,[],[f205,f831]) ).

fof(f1791,plain,
    ( c2_1(a2012)
    | ~ c1_1(a2012)
    | ~ spl0_2
    | ~ spl0_139 ),
    inference(resolution,[],[f205,f789]) ).

fof(f1794,plain,
    ( c2_1(a1981)
    | ~ c1_1(a1981)
    | ~ spl0_2
    | ~ spl0_119 ),
    inference(resolution,[],[f205,f709]) ).

fof(f1797,plain,
    ( ~ spl0_118
    | spl0_174
    | ~ spl0_2
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1794,f708,f204,f1628,f704]) ).

fof(f1799,plain,
    ( ~ spl0_169
    | spl0_100
    | ~ spl0_2
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1791,f788,f204,f628,f1292]) ).

fof(f1800,plain,
    ( ~ spl0_148
    | spl0_165
    | ~ spl0_2
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1790,f830,f204,f1201,f826]) ).

fof(f1815,plain,
    ( c2_1(a1972)
    | ~ c1_1(a1972)
    | ~ spl0_6
    | ~ spl0_147 ),
    inference(resolution,[],[f218,f822]) ).

fof(f1818,plain,
    ( c2_1(a1998)
    | ~ c1_1(a1998)
    | ~ spl0_6
    | ~ spl0_132 ),
    inference(resolution,[],[f218,f761]) ).

fof(f1825,plain,
    ( ~ spl0_133
    | spl0_162
    | ~ spl0_6
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1818,f760,f217,f1034,f764]) ).

fof(f1826,plain,
    ( ~ spl0_148
    | spl0_165
    | ~ spl0_6
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1815,f821,f217,f1201,f826]) ).

fof(f1827,plain,
    ( c1_1(a2005)
    | ~ c2_1(a2005)
    | ~ spl0_10
    | ~ spl0_155 ),
    inference(resolution,[],[f232,f857]) ).

fof(f1836,plain,
    ( ~ spl0_154
    | spl0_166
    | ~ spl0_10
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1827,f856,f231,f1213,f852]) ).

fof(f1837,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(resolution,[],[f236,f215]) ).

fof(f1848,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f1837]) ).

fof(f1853,plain,
    ( spl0_38
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f1848,f235,f214,f339]) ).

fof(f1854,plain,
    ( ~ spl0_121
    | spl0_173
    | ~ spl0_38
    | spl0_79 ),
    inference(avatar_split_clause,[],[f1592,f531,f339,f1580,f716]) ).

fof(f1855,plain,
    ( ~ spl0_116
    | spl0_72
    | ~ spl0_38
    | spl0_157 ),
    inference(avatar_split_clause,[],[f1594,f910,f339,f499,f696]) ).

fof(f1860,plain,
    ( ~ c2_1(a2009)
    | c1_1(a2009)
    | ~ spl0_12
    | spl0_97 ),
    inference(resolution,[],[f239,f616]) ).

fof(f1861,plain,
    ( ~ c2_1(a1991)
    | c1_1(a1991)
    | ~ spl0_12
    | spl0_85 ),
    inference(resolution,[],[f239,f560]) ).

fof(f1867,plain,
    ( spl0_170
    | ~ spl0_126
    | ~ spl0_12
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1861,f559,f238,f736,f1378]) ).

fof(f1868,plain,
    ( spl0_98
    | ~ spl0_138
    | ~ spl0_12
    | spl0_97 ),
    inference(avatar_split_clause,[],[f1860,f615,f238,f784,f619]) ).

fof(f1890,plain,
    ( ~ c2_1(a1985)
    | c0_1(a1985)
    | ~ spl0_16
    | spl0_78 ),
    inference(resolution,[],[f258,f528]) ).

fof(f1896,plain,
    ( spl0_79
    | ~ spl0_173
    | ~ spl0_16
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1890,f527,f257,f1580,f531]) ).

fof(f1903,plain,
    ( c2_1(a1992)
    | ~ c1_1(a1992)
    | ~ spl0_38
    | spl0_87 ),
    inference(resolution,[],[f340,f569]) ).

fof(f1914,plain,
    ( ~ spl0_128
    | spl0_86
    | ~ spl0_38
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1903,f568,f339,f564,f744]) ).

fof(f1926,plain,
    ( c1_1(a1983)
    | c0_1(a1983)
    | ~ spl0_40
    | ~ spl0_120 ),
    inference(resolution,[],[f347,f713]) ).

fof(f1930,plain,
    ( spl0_77
    | spl0_76
    | ~ spl0_40
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1926,f712,f346,f518,f522]) ).

fof(f1951,plain,
    ( ~ c0_1(a1991)
    | ~ c2_1(a1991)
    | ~ spl0_19
    | spl0_85 ),
    inference(resolution,[],[f268,f560]) ).

fof(f1958,plain,
    ( ~ spl0_126
    | ~ spl0_127
    | ~ spl0_19
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1951,f559,f267,f740,f736]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f212]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f222]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f233]) ).

cnf(s6,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_8
    | spl0_11 ),
    inference(sat_conversion,[],[f241]) ).

cnf(s7,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_6
    | spl0_11 ),
    inference(sat_conversion,[],[f242]) ).

cnf(s8,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_11
    | spl0_13 ),
    inference(sat_conversion,[],[f246]) ).

cnf(s10,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_11
    | spl0_15 ),
    inference(sat_conversion,[],[f254]) ).

cnf(s11,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_13
    | spl0_15 ),
    inference(sat_conversion,[],[f255]) ).

cnf(s12,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f262]) ).

cnf(s13,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f272]) ).

cnf(s14,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f276]) ).

cnf(s15,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f283]) ).

cnf(s18,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_18
    | spl0_29 ),
    inference(sat_conversion,[],[f304]) ).

cnf(s20,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_27 ),
    inference(sat_conversion,[],[f309]) ).

cnf(s21,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_28
    | spl0_31 ),
    inference(sat_conversion,[],[f313]) ).

cnf(s22,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_25
    | spl0_32 ),
    inference(sat_conversion,[],[f317]) ).

cnf(s23,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_25
    | spl0_33 ),
    inference(sat_conversion,[],[f321]) ).

cnf(s24,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_11
    | spl0_18 ),
    inference(sat_conversion,[],[f322]) ).

cnf(s26,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_27
    | spl0_35 ),
    inference(sat_conversion,[],[f330]) ).

cnf(s27,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_25
    | spl0_36 ),
    inference(sat_conversion,[],[f334]) ).

cnf(s28,plain,
    ( ~ spl0_3
    | spl0_29
    | spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f341]) ).

cnf(s29,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_39
    | spl0_40 ),
    inference(sat_conversion,[],[f348]) ).

cnf(s32,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_15
    | spl0_43 ),
    inference(sat_conversion,[],[f360]) ).

cnf(s33,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_14
    | spl0_33 ),
    inference(sat_conversion,[],[f361]) ).

cnf(s37,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_13
    | spl0_46 ),
    inference(sat_conversion,[],[f377]) ).

cnf(s43,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_30
    | spl0_34 ),
    inference(sat_conversion,[],[f404]) ).

cnf(s45,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_55 ),
    inference(sat_conversion,[],[f409]) ).

cnf(s46,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_18
    | spl0_31 ),
    inference(sat_conversion,[],[f410]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_52
    | spl0_55 ),
    inference(sat_conversion,[],[f416]) ).

cnf(s50,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_33
    | spl0_51 ),
    inference(sat_conversion,[],[f417]) ).

cnf(s53,plain,
    ( ~ spl0_3
    | spl0_28
    | spl0_58
    | spl0_59 ),
    inference(sat_conversion,[],[f429]) ).

cnf(s55,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_18
    | spl0_51 ),
    inference(sat_conversion,[],[f434]) ).

cnf(s56,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_27
    | spl0_32 ),
    inference(sat_conversion,[],[f435]) ).

cnf(s57,plain,
    ( ~ spl0_3
    | spl0_25
    | spl0_52
    | spl0_58 ),
    inference(sat_conversion,[],[f436]) ).

cnf(s58,plain,
    ( ~ spl0_3
    | spl0_25
    | spl0_32
    | spl0_55 ),
    inference(sat_conversion,[],[f437]) ).

cnf(s60,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_18 ),
    inference(sat_conversion,[],[f442]) ).

cnf(s61,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_30
    | spl0_55 ),
    inference(sat_conversion,[],[f443]) ).

cnf(s62,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_59
    | spl0_62 ),
    inference(sat_conversion,[],[f447]) ).

cnf(s63,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_48
    | spl0_57 ),
    inference(sat_conversion,[],[f448]) ).

cnf(s64,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_18
    | spl0_46 ),
    inference(sat_conversion,[],[f449]) ).

cnf(s66,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_39
    | spl0_60 ),
    inference(sat_conversion,[],[f451]) ).

cnf(s67,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_35
    | spl0_51 ),
    inference(sat_conversion,[],[f452]) ).

cnf(s68,plain,
    ( ~ spl0_3
    | spl0_34
    | spl0_38
    | spl0_42 ),
    inference(sat_conversion,[],[f453]) ).

cnf(s69,plain,
    ( ~ spl0_3
    | spl0_36
    | spl0_40
    | spl0_59 ),
    inference(sat_conversion,[],[f454]) ).

cnf(s74,plain,
    ( ~ spl0_46
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s75,plain,
    ( ~ spl0_48
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f478]) ).

cnf(s76,plain,
    ( ~ spl0_30
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f483]) ).

cnf(s77,plain,
    ( ~ spl0_52
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f488]) ).

cnf(s78,plain,
    ( ~ spl0_52
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f492]) ).

cnf(s79,plain,
    ( ~ spl0_39
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f497]) ).

cnf(s80,plain,
    ( ~ spl0_39
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f501]) ).

cnf(s81,plain,
    ( ~ spl0_59
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f506]) ).

cnf(s82,plain,
    ( ~ spl0_59
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f510]) ).

cnf(s83,plain,
    ( ~ spl0_37
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f515]) ).

cnf(s84,plain,
    ( ~ spl0_34
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f520]) ).

cnf(s85,plain,
    ( ~ spl0_34
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f524]) ).

cnf(s86,plain,
    ( ~ spl0_35
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f529]) ).

cnf(s87,plain,
    ( ~ spl0_35
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f533]) ).

cnf(s88,plain,
    ( ~ spl0_18
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f538]) ).

cnf(s89,plain,
    ( ~ spl0_51
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f543]) ).

cnf(s90,plain,
    ( ~ spl0_51
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f547]) ).

cnf(s91,plain,
    ( ~ spl0_33
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f552]) ).

cnf(s92,plain,
    ( ~ spl0_33
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f556]) ).

cnf(s93,plain,
    ( ~ spl0_32
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f561]) ).

cnf(s94,plain,
    ( ~ spl0_31
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f566]) ).

cnf(s95,plain,
    ( ~ spl0_31
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f570]) ).

cnf(s99,plain,
    ( ~ spl0_55
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f589]) ).

cnf(s100,plain,
    ( ~ spl0_58
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f594]) ).

cnf(s101,plain,
    ( ~ spl0_58
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f598]) ).

cnf(s102,plain,
    ( ~ spl0_58
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f602]) ).

cnf(s104,plain,
    ( ~ spl0_21
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f612]) ).

cnf(s105,plain,
    ( ~ spl0_43
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f617]) ).

cnf(s106,plain,
    ( ~ spl0_43
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f621]) ).

cnf(s108,plain,
    ( ~ spl0_57
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f630]) ).

cnf(s109,plain,
    ( ~ spl0_62
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f635]) ).

cnf(s117,plain,
    ( ~ spl0_46
    | spl0_109 ),
    inference(sat_conversion,[],[f670]) ).

cnf(s118,plain,
    ( ~ spl0_46
    | spl0_110 ),
    inference(sat_conversion,[],[f674]) ).

cnf(s119,plain,
    ( ~ spl0_48
    | spl0_111 ),
    inference(sat_conversion,[],[f678]) ).

cnf(s120,plain,
    ( ~ spl0_48
    | spl0_112 ),
    inference(sat_conversion,[],[f682]) ).

cnf(s121,plain,
    ( ~ spl0_30
    | spl0_113 ),
    inference(sat_conversion,[],[f686]) ).

cnf(s122,plain,
    ( ~ spl0_30
    | spl0_114 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s123,plain,
    ( ~ spl0_52
    | spl0_115 ),
    inference(sat_conversion,[],[f694]) ).

cnf(s124,plain,
    ( ~ spl0_39
    | spl0_116 ),
    inference(sat_conversion,[],[f698]) ).

cnf(s125,plain,
    ( ~ spl0_59
    | spl0_117 ),
    inference(sat_conversion,[],[f702]) ).

cnf(s126,plain,
    ( ~ spl0_37
    | spl0_118 ),
    inference(sat_conversion,[],[f706]) ).

cnf(s127,plain,
    ( ~ spl0_37
    | spl0_119 ),
    inference(sat_conversion,[],[f710]) ).

cnf(s128,plain,
    ( ~ spl0_34
    | spl0_120 ),
    inference(sat_conversion,[],[f714]) ).

cnf(s129,plain,
    ( ~ spl0_35
    | spl0_121 ),
    inference(sat_conversion,[],[f718]) ).

cnf(s130,plain,
    ( ~ spl0_18
    | spl0_122 ),
    inference(sat_conversion,[],[f722]) ).

cnf(s131,plain,
    ( ~ spl0_18
    | spl0_123 ),
    inference(sat_conversion,[],[f726]) ).

cnf(s132,plain,
    ( ~ spl0_51
    | spl0_124 ),
    inference(sat_conversion,[],[f730]) ).

cnf(s133,plain,
    ( ~ spl0_33
    | spl0_125 ),
    inference(sat_conversion,[],[f734]) ).

cnf(s134,plain,
    ( ~ spl0_32
    | spl0_126 ),
    inference(sat_conversion,[],[f738]) ).

cnf(s135,plain,
    ( ~ spl0_32
    | spl0_127 ),
    inference(sat_conversion,[],[f742]) ).

cnf(s136,plain,
    ( ~ spl0_31
    | spl0_128 ),
    inference(sat_conversion,[],[f746]) ).

cnf(s140,plain,
    ( ~ spl0_55
    | spl0_132 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s141,plain,
    ( ~ spl0_55
    | spl0_133 ),
    inference(sat_conversion,[],[f766]) ).

cnf(s144,plain,
    ( ~ spl0_21
    | spl0_136 ),
    inference(sat_conversion,[],[f778]) ).

cnf(s145,plain,
    ( ~ spl0_21
    | spl0_137 ),
    inference(sat_conversion,[],[f782]) ).

cnf(s146,plain,
    ( ~ spl0_43
    | spl0_138 ),
    inference(sat_conversion,[],[f786]) ).

cnf(s147,plain,
    ( ~ spl0_57
    | spl0_139 ),
    inference(sat_conversion,[],[f790]) ).

cnf(s148,plain,
    ( ~ spl0_62
    | spl0_140 ),
    inference(sat_conversion,[],[f794]) ).

cnf(s149,plain,
    ( ~ spl0_62
    | spl0_141 ),
    inference(sat_conversion,[],[f798]) ).

cnf(s152,plain,
    ( ~ spl0_22
    | spl0_144 ),
    inference(sat_conversion,[],[f811]) ).

cnf(s153,plain,
    ( ~ spl0_22
    | spl0_145 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s154,plain,
    ( ~ spl0_22
    | spl0_146 ),
    inference(sat_conversion,[],[f819]) ).

cnf(s155,plain,
    ( ~ spl0_42
    | spl0_147 ),
    inference(sat_conversion,[],[f824]) ).

cnf(s156,plain,
    ( ~ spl0_42
    | spl0_148 ),
    inference(sat_conversion,[],[f828]) ).

cnf(s157,plain,
    ( ~ spl0_42
    | spl0_149 ),
    inference(sat_conversion,[],[f832]) ).

cnf(s158,plain,
    ( ~ spl0_36
    | spl0_150 ),
    inference(sat_conversion,[],[f837]) ).

cnf(s159,plain,
    ( ~ spl0_36
    | spl0_151 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s160,plain,
    ( ~ spl0_36
    | spl0_152 ),
    inference(sat_conversion,[],[f845]) ).

cnf(s162,plain,
    ( ~ spl0_60
    | spl0_154 ),
    inference(sat_conversion,[],[f854]) ).

cnf(s163,plain,
    ( ~ spl0_60
    | spl0_155 ),
    inference(sat_conversion,[],[f858]) ).

cnf(s166,plain,
    ( spl0_22
    | spl0_59
    | spl0_60 ),
    inference(sat_conversion,[],[f861]) ).

cnf(s167,plain,
    ( spl0_34
    | spl0_39
    | spl0_62 ),
    inference(sat_conversion,[],[f862]) ).

cnf(s168,plain,
    ( spl0_42
    | spl0_43
    | spl0_46 ),
    inference(sat_conversion,[],[f863]) ).

cnf(s175,plain,
    ( spl0_3
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f871]) ).

cnf(s196,plain,
    ( spl0_3
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f892]) ).

cnf(s199,plain,
    ( spl0_3
    | ~ spl0_60 ),
    inference(sat_conversion,[],[f895]) ).

cnf(s204,plain,
    ( ~ spl0_11
    | spl0_73
    | spl0_74
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f929]) ).

cnf(s211,plain,
    ( ~ spl0_9
    | spl0_80
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f961]) ).

cnf(s226,plain,
    ( ~ spl0_1
    | spl0_78
    | spl0_79
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1024]) ).

cnf(s233,plain,
    ( ~ spl0_2
    | spl0_101
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f1045]) ).

cnf(s244,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | spl0_38 ),
    inference(sat_conversion,[],[f1082]) ).

cnf(s245,plain,
    ( ~ spl0_12
    | spl0_81
    | ~ spl0_124
    | spl0_160 ),
    inference(sat_conversion,[],[f1090]) ).

cnf(s250,plain,
    ( ~ spl0_16
    | spl0_81
    | spl0_82
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1113]) ).

cnf(s266,plain,
    ( ~ spl0_16
    | ~ spl0_23
    | spl0_29 ),
    inference(sat_conversion,[],[f1192]) ).

cnf(s280,plain,
    ( ~ spl0_9
    | spl0_10
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f1239]) ).

cnf(s284,plain,
    ( ~ spl0_13
    | spl0_81
    | spl0_82
    | spl0_160 ),
    inference(sat_conversion,[],[f1250]) ).

cnf(s306,plain,
    ( ~ spl0_2
    | spl0_72
    | ~ spl0_116
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1310]) ).

cnf(s312,plain,
    ( ~ spl0_16
    | ~ spl0_25
    | spl0_29 ),
    inference(sat_conversion,[],[f1329]) ).

cnf(s321,plain,
    ( ~ spl0_25
    | spl0_91
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1349]) ).

cnf(s327,plain,
    ( ~ spl0_4
    | ~ spl0_150
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1363]) ).

cnf(s328,plain,
    ( ~ spl0_4
    | ~ spl0_154
    | ~ spl0_155
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1364]) ).

cnf(s334,plain,
    ( ~ spl0_20
    | ~ spl0_147
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1370]) ).

cnf(s343,plain,
    ( ~ spl0_4
    | ~ spl0_126
    | ~ spl0_127
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1389]) ).

cnf(s348,plain,
    ( ~ spl0_8
    | spl0_69
    | spl0_70
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f1397]) ).

cnf(s351,plain,
    ( ~ spl0_20
    | ~ spl0_144
    | ~ spl0_146
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1419]) ).

cnf(s366,plain,
    ( ~ spl0_1
    | ~ spl0_27
    | spl0_29 ),
    inference(sat_conversion,[],[f1471]) ).

cnf(s370,plain,
    ( ~ spl0_16
    | spl0_96
    | ~ spl0_136
    | spl0_172 ),
    inference(sat_conversion,[],[f1484]) ).

cnf(s373,plain,
    ( ~ spl0_17
    | ~ spl0_25
    | spl0_29 ),
    inference(sat_conversion,[],[f1504]) ).

cnf(s383,plain,
    ( ~ spl0_27
    | spl0_77
    | ~ spl0_120
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1509]) ).

cnf(s387,plain,
    ( ~ spl0_27
    | ~ spl0_122
    | ~ spl0_123
    | spl0_171 ),
    inference(sat_conversion,[],[f1541]) ).

cnf(s394,plain,
    ( spl0_10
    | ~ spl0_12
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f1557]) ).

cnf(s395,plain,
    ( spl0_10
    | ~ spl0_19
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f1558]) ).

cnf(s396,plain,
    ( ~ spl0_29
    | spl0_68
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f1577]) ).

cnf(s398,plain,
    ( ~ spl0_29
    | spl0_79
    | ~ spl0_121
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1582]) ).

cnf(s399,plain,
    ( ~ spl0_29
    | spl0_82
    | ~ spl0_124
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1583]) ).

cnf(s400,plain,
    ( ~ spl0_29
    | spl0_91
    | ~ spl0_133
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1584]) ).

cnf(s409,plain,
    ( ~ spl0_10
    | spl0_66
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f1612]) ).

cnf(s410,plain,
    ( ~ spl0_13
    | spl0_92
    | spl0_93
    | spl0_94 ),
    inference(sat_conversion,[],[f1613]) ).

cnf(s413,plain,
    ( ~ spl0_28
    | spl0_80
    | ~ spl0_122
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1615]) ).

cnf(s424,plain,
    ( ~ spl0_19
    | spl0_75
    | ~ spl0_119
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f1631]) ).

cnf(s425,plain,
    ( ~ spl0_19
    | spl0_96
    | ~ spl0_136
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1634]) ).

cnf(s428,plain,
    ( ~ spl0_6
    | spl0_67
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f1647]) ).

cnf(s433,plain,
    ( ~ spl0_25
    | spl0_74
    | ~ spl0_117
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1655]) ).

cnf(s440,plain,
    ( ~ spl0_8
    | spl0_100
    | ~ spl0_139
    | spl0_169 ),
    inference(sat_conversion,[],[f1666]) ).

cnf(s445,plain,
    ( ~ spl0_11
    | spl0_73
    | spl0_74
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f1669]) ).

cnf(s449,plain,
    ( ~ spl0_14
    | spl0_92
    | spl0_93
    | spl0_158 ),
    inference(sat_conversion,[],[f1672]) ).

cnf(s451,plain,
    ( ~ spl0_15
    | spl0_73
    | ~ spl0_117
    | spl0_156 ),
    inference(sat_conversion,[],[f1674]) ).

cnf(s454,plain,
    ( ~ spl0_15
    | spl0_83
    | spl0_84
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1676]) ).

cnf(s456,plain,
    ( ~ spl0_27
    | ~ spl0_144
    | ~ spl0_145
    | spl0_163 ),
    inference(sat_conversion,[],[f1678]) ).

cnf(s457,plain,
    ( ~ spl0_38
    | spl0_91
    | ~ spl0_133
    | spl0_162 ),
    inference(sat_conversion,[],[f1679]) ).

cnf(s473,plain,
    ( ~ spl0_4
    | ~ spl0_148
    | ~ spl0_149
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1708]) ).

cnf(s476,plain,
    ( ~ spl0_5
    | spl0_71
    | spl0_72
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f1723]) ).

cnf(s480,plain,
    ( ~ spl0_5
    | ~ spl0_25
    | spl0_38 ),
    inference(sat_conversion,[],[f1727]) ).

cnf(s481,plain,
    ( ~ spl0_7
    | spl0_75
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f1741]) ).

cnf(s482,plain,
    ( ~ spl0_7
    | spl0_96
    | ~ spl0_137
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1742]) ).

cnf(s517,plain,
    ( ~ spl0_12
    | spl0_92
    | spl0_93
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1778]) ).

cnf(s518,plain,
    ( ~ spl0_17
    | spl0_81
    | ~ spl0_124
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1779]) ).

cnf(s524,plain,
    ( ~ spl0_11
    | spl0_77
    | ~ spl0_120
    | spl0_161 ),
    inference(sat_conversion,[],[f1785]) ).

cnf(s525,plain,
    ( ~ spl0_11
    | spl0_91
    | ~ spl0_132
    | spl0_162 ),
    inference(sat_conversion,[],[f1786]) ).

cnf(s528,plain,
    ( ~ spl0_2
    | ~ spl0_118
    | ~ spl0_119
    | spl0_174 ),
    inference(sat_conversion,[],[f1797]) ).

cnf(s530,plain,
    ( ~ spl0_2
    | spl0_100
    | ~ spl0_139
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1799]) ).

cnf(s531,plain,
    ( ~ spl0_2
    | ~ spl0_148
    | ~ spl0_149
    | spl0_165 ),
    inference(sat_conversion,[],[f1800]) ).

cnf(s536,plain,
    ( ~ spl0_6
    | ~ spl0_132
    | ~ spl0_133
    | spl0_162 ),
    inference(sat_conversion,[],[f1825]) ).

cnf(s537,plain,
    ( ~ spl0_6
    | ~ spl0_147
    | ~ spl0_148
    | spl0_165 ),
    inference(sat_conversion,[],[f1826]) ).

cnf(s539,plain,
    ( ~ spl0_10
    | ~ spl0_154
    | ~ spl0_155
    | spl0_166 ),
    inference(sat_conversion,[],[f1836]) ).

cnf(s541,plain,
    ( ~ spl0_5
    | ~ spl0_11
    | spl0_38 ),
    inference(sat_conversion,[],[f1853]) ).

cnf(s542,plain,
    ( ~ spl0_38
    | spl0_79
    | ~ spl0_121
    | spl0_173 ),
    inference(sat_conversion,[],[f1854]) ).

cnf(s543,plain,
    ( ~ spl0_38
    | spl0_72
    | ~ spl0_116
    | spl0_157 ),
    inference(sat_conversion,[],[f1855]) ).

cnf(s545,plain,
    ( ~ spl0_12
    | spl0_85
    | ~ spl0_126
    | spl0_170 ),
    inference(sat_conversion,[],[f1867]) ).

cnf(s546,plain,
    ( ~ spl0_12
    | spl0_97
    | spl0_98
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f1868]) ).

cnf(s552,plain,
    ( ~ spl0_16
    | spl0_78
    | spl0_79
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1896]) ).

cnf(s554,plain,
    ( ~ spl0_38
    | spl0_86
    | spl0_87
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1914]) ).

cnf(s555,plain,
    ( ~ spl0_40
    | spl0_76
    | spl0_77
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1930]) ).

cnf(s570,plain,
    ( ~ spl0_19
    | spl0_85
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f1958]) ).

cnf(s572,plain,
    spl0_3,
    inference(rat,[],[s166,s175,s196,s199]) ).

cnf(s573,plain,
    ( ~ spl0_42
    | ~ spl0_20 ),
    inference(rat,[],[s334,s155,s156,s157]) ).

cnf(s574,plain,
    ( ~ spl0_33
    | ~ spl0_15 ),
    inference(rat,[],[s454,s91,s92,s133]) ).

cnf(s577,plain,
    ( ~ spl0_34
    | ~ spl0_11
    | ~ spl0_27 ),
    inference(rat,[],[s383,s524,s85,s128]) ).

cnf(s580,plain,
    ( ~ spl0_30
    | ~ spl0_29 ),
    inference(rat,[],[s396,s76,s121,s122]) ).

cnf(s581,plain,
    ( ~ spl0_55
    | ~ spl0_25 ),
    inference(rat,[],[s321,s99,s140,s141]) ).

cnf(s582,plain,
    ( spl0_13
    | spl0_12
    | spl0_10
    | spl0_6
    | spl0_1 ),
    inference(rat,[],[s373,s580,s12,s61,s250,s581,s89,s90,s132,s50,s23,s574,s11,s572]) ).

cnf(s583,plain,
    ( ~ spl0_31
    | ~ spl0_38 ),
    inference(rat,[],[s554,s94,s95,s136]) ).

cnf(s584,plain,
    ( ~ spl0_18
    | ~ spl0_9 ),
    inference(rat,[],[s211,s88,s130,s131]) ).

cnf(s585,plain,
    ( spl0_10
    | ~ spl0_9
    | spl0_34
    | spl0_6
    | spl0_1 ),
    inference(rat,[],[s284,s582,s518,s394,s46,s21,s583,s250,s68,s573,s89,s90,s132,s13,s55,s280,s584,s572]) ).

cnf(s586,plain,
    ( ~ spl0_46
    | ~ spl0_10 ),
    inference(rat,[],[s409,s74,s117,s118]) ).

cnf(s587,plain,
    ( ~ spl0_37
    | ~ spl0_7 ),
    inference(rat,[],[s481,s83,s126,s127]) ).

cnf(s588,plain,
    ( spl0_13
    | spl0_6
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s518,s12,s245,s250,s89,s90,s132,s50,s574,s582,s11,s586,s37,s572]) ).

cnf(s589,plain,
    ( ~ spl0_51
    | ~ spl0_29
    | ~ spl0_13 ),
    inference(rat,[],[s284,s399,s89,s90,s132]) ).

cnf(s590,plain,
    ( ~ spl0_29
    | spl0_55
    | ~ spl0_13
    | spl0_6
    | spl0_5 ),
    inference(rat,[],[s546,s105,s106,s146,s32,s574,s50,s589,s61,s580,s572]) ).

cnf(s592,plain,
    ( ~ spl0_29
    | ~ spl0_13
    | ~ spl0_11
    | spl0_6
    | spl0_5 ),
    inference(rat,[],[s400,s525,s99,s140,s141,s590]) ).

cnf(s593,plain,
    ( spl0_9
    | spl0_29
    | ~ spl0_7
    | spl0_6
    | ~ spl0_27 ),
    inference(rat,[],[s370,s482,s104,s144,s145,s14,s351,s456,s152,s153,s154,s15,s266,s21,s413,s387,s88,s130,s131,s60,s583,s28,s587,s572]) ).

cnf(s594,plain,
    ( spl0_6
    | spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s574,s23,s64,s373,s586,s46,s585,s584,s593,s583,s28,s592,s588,s587,s577,s7,s2,s20,s572]) ).

cnf(s595,plain,
    ( ~ spl0_51
    | ~ spl0_12
    | ~ spl0_29 ),
    inference(rat,[],[s245,s399,s89,s90,s132]) ).

cnf(s596,plain,
    ( ~ spl0_52
    | ~ spl0_8 ),
    inference(rat,[],[s348,s77,s78,s123]) ).

cnf(s597,plain,
    ( ~ spl0_58
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(rat,[],[s449,s517,s100,s101]) ).

cnf(s598,plain,
    ( ~ spl0_59
    | ~ spl0_25
    | ~ spl0_15 ),
    inference(rat,[],[s451,s433,s81,s82,s125]) ).

cnf(s599,plain,
    ( ~ spl0_12
    | spl0_59
    | ~ spl0_14
    | spl0_10 ),
    inference(rat,[],[s53,s597,s394,s572]) ).

cnf(s600,plain,
    ( spl0_13
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s12,s373,s312,s580,s61,s599,s598,s581,s33,s23,s574,s11,s586,s37,s572]) ).

cnf(s601,plain,
    ( ~ spl0_59
    | ~ spl0_25
    | spl0_5 ),
    inference(rat,[],[s10,s204,s598,s81,s82,s125,s572]) ).

cnf(s602,plain,
    ( ~ spl0_58
    | ~ spl0_13 ),
    inference(rat,[],[s410,s100,s101,s102]) ).

cnf(s603,plain,
    ( spl0_10
    | ~ spl0_28
    | ~ spl0_25 ),
    inference(rat,[],[s28,s587,s583,s18,s46,s584,s4,s373,s596,s580,s49,s61,s395,s394,s581,s572]) ).

cnf(s604,plain,
    ( ~ spl0_18
    | ~ spl0_28
    | ~ spl0_27 ),
    inference(rat,[],[s413,s387,s88,s130,s131]) ).

cnf(s605,plain,
    ( ~ spl0_43
    | ~ spl0_12 ),
    inference(rat,[],[s546,s105,s106,s146]) ).

cnf(s606,plain,
    ( ~ spl0_42
    | ~ spl0_6
    | ~ spl0_4 ),
    inference(rat,[],[s537,s473,s155,s156,s157]) ).

cnf(s607,plain,
    ( ~ spl0_25
    | spl0_42
    | spl0_5
    | spl0_58
    | spl0_2 ),
    inference(rat,[],[s580,s373,s61,s46,s605,s583,s168,s68,s577,s24,s604,s586,s603,s53,s601,s581,s20,s572]) ).

cnf(s608,plain,
    ( spl0_10
    | spl0_31
    | spl0_8
    | ~ spl0_13 ),
    inference(rat,[],[s518,s284,s89,s90,s132,s46,s55,s584,s4,s572]) ).

cnf(s609,plain,
    ( spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s445,s81,s82,s125,s53,s604,s64,s586,s608,s583,s68,s577,s6,s574,s596,s23,s57,s607,s606,s594,s20,s1,s602,s600,s572]) ).

cnf(s610,plain,
    ( spl0_28
    | ~ spl0_38
    | ~ spl0_25
    | ~ spl0_13 ),
    inference(rat,[],[s398,s542,s87,s129,s67,s589,s204,s312,s81,s82,s125,s21,s53,s602,s583,s572]) ).

cnf(s611,plain,
    ( ~ spl0_25
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_4
    | ~ spl0_27 ),
    inference(rat,[],[s168,s606,s605,s50,s61,s589,s580,s574,s373,s64,s46,s586,s604,s603,s610,s583,s581,s480,s572]) ).

cnf(s612,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s445,s81,s82,s125,s53,s604,s64,s586,s608,s583,s541,s6,s596,s574,s57,s23,s611,s609,s602,s600,s1,s20,s572]) ).

cnf(s613,plain,
    ( ~ spl0_32
    | ~ spl0_12
    | ~ spl0_4 ),
    inference(rat,[],[s545,s343,s93,s134,s135]) ).

cnf(s615,plain,
    ( ~ spl0_62
    | ~ spl0_2 ),
    inference(rat,[],[s233,s109,s148,s149]) ).

cnf(s616,plain,
    ( ~ spl0_39
    | ~ spl0_38
    | ~ spl0_2 ),
    inference(rat,[],[s306,s543,s80,s124]) ).

cnf(s617,plain,
    ( ~ spl0_21
    | ~ spl0_16
    | ~ spl0_19 ),
    inference(rat,[],[s370,s425,s104,s144]) ).

cnf(s618,plain,
    ( spl0_34
    | spl0_42
    | ~ spl0_2 ),
    inference(rat,[],[s616,s167,s68,s615,s572]) ).

cnf(s619,plain,
    ( ~ spl0_36
    | ~ spl0_4 ),
    inference(rat,[],[s327,s158,s159,s160]) ).

cnf(s620,plain,
    ( ~ spl0_34
    | ~ spl0_40 ),
    inference(rat,[],[s555,s84,s85,s128]) ).

cnf(s621,plain,
    ( ~ spl0_42
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s531,s473,s156,s157]) ).

cnf(s622,plain,
    ( spl0_10
    | ~ spl0_38
    | spl0_15
    | ~ spl0_25 ),
    inference(rat,[],[s610,s11,s603,s572]) ).

cnf(s623,plain,
    ( ~ spl0_57
    | ~ spl0_8
    | ~ spl0_2 ),
    inference(rat,[],[s440,s530,s108,s147]) ).

cnf(s624,plain,
    ( ~ spl0_48
    | ~ spl0_6 ),
    inference(rat,[],[s428,s75,s119,s120]) ).

cnf(s625,plain,
    ( ~ spl0_25
    | spl0_1 ),
    inference(rat,[],[s328,s539,s162,s163,s66,s623,s63,s624,s616,s622,s7,s480,s445,s601,s598,s81,s82,s125,s69,s620,s618,s621,s619,s45,s581,s612,s572]) ).

cnf(s626,plain,
    ( ~ spl0_32
    | ~ spl0_19 ),
    inference(rat,[],[s570,s93,s134,s135]) ).

cnf(s628,plain,
    ( ~ spl0_35
    | ~ spl0_16
    | ~ spl0_38 ),
    inference(rat,[],[s552,s542,s86,s87,s129]) ).

cnf(s629,plain,
    ( ~ spl0_38
    | spl0_40
    | spl0_11
    | spl0_1 ),
    inference(rat,[],[s250,s89,s90,s132,s67,s628,s22,s626,s29,s616,s612,s625,s572]) ).

cnf(s630,plain,
    ( ~ spl0_39
    | ~ spl0_5 ),
    inference(rat,[],[s476,s79,s80,s124]) ).

cnf(s631,plain,
    ( spl0_11
    | spl0_1 ),
    inference(rat,[],[s528,s424,s83,s126,s127,s28,s29,s629,s620,s167,s630,s400,s536,s99,s140,s141,s45,s619,s7,s10,s27,s615,s612,s574,s23,s625,s572]) ).

cnf(s632,plain,
    ( ~ spl0_19
    | spl0_27
    | spl0_25 ),
    inference(rat,[],[s617,s56,s22,s626,s572]) ).

cnf(s633,plain,
    ( ~ spl0_59
    | ~ spl0_11 ),
    inference(rat,[],[s204,s81,s82,s125]) ).

cnf(s634,plain,
    spl0_1,
    inference(rat,[],[s632,s29,s577,s620,s167,s630,s32,s605,s62,s633,s631,s574,s23,s625,s615,s612,s572]) ).

cnf(s635,plain,
    ~ spl0_35,
    inference(rat,[],[s226,s86,s87,s129,s634]) ).

cnf(s636,plain,
    ( spl0_11
    | spl0_55 ),
    inference(rat,[],[s61,s595,s580,s366,s26,s67,s572,s634,s635]) ).

cnf(s637,plain,
    ( ~ spl0_2
    | spl0_55 ),
    inference(rat,[],[s618,s621,s620,s69,s633,s636,s619,s45,s572]) ).

cnf(s638,plain,
    ( spl0_15
    | ~ spl0_25 ),
    inference(rat,[],[s37,s611,s586,s32,s622,s45,s244,s636,s605,s61,s580,s366,s20,s637,s581,s572,s634]) ).

cnf(s639,plain,
    ~ spl0_25,
    inference(rat,[],[s168,s586,s606,s599,s50,s33,s574,s638,s595,s605,s61,s580,s366,s20,s637,s633,s636,s45,s581,s572,s634]) ).

cnf(s640,plain,
    spl0_11,
    inference(rat,[],[s284,s399,s8,s366,s89,s90,s132,s619,s26,s67,s27,s572,s634,s635,s639]) ).

cnf(s641,plain,
    spl0_38,
    inference(rat,[],[s244,s634,s640]) ).

cnf(s644,plain,
    ~ spl0_2,
    inference(rat,[],[s29,s632,s620,s366,s167,s400,s616,s525,s99,s140,s141,s637,s615,s572,s639,s634,s641,s640]) ).

cnf(s645,plain,
    spl0_27,
    inference(rat,[],[s20,s572,s644]) ).

cnf(s646,plain,
    ~ spl0_34,
    inference(rat,[],[s577,s640,s645]) ).

cnf(s647,plain,
    spl0_29,
    inference(rat,[],[s366,s634,s645]) ).

cnf(s648,plain,
    ~ spl0_30,
    inference(rat,[],[s580,s647]) ).

cnf(s649,plain,
    spl0_4,
    inference(rat,[],[s43,s646,s572,s648]) ).

cnf(s653,plain,
    spl0_55,
    inference(rat,[],[s613,s61,s58,s649,s572,s648,s639]) ).

cnf(s654,plain,
    spl0_133,
    inference(rat,[],[s141,s653]) ).

cnf(s656,plain,
    ~ spl0_91,
    inference(rat,[],[s99,s653]) ).

cnf(s658,plain,
    spl0_162,
    inference(rat,[],[s457,s656,s641,s654]) ).

cnf(s659,plain,
    $false,
    inference(rat,[],[s400,s656,s647,s654,s658]) ).

fof(f1960,plain,
    $false,
    inference(avatar_sat_refutation,[],[s659]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN484-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18  % Computer : n009.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Mon Sep 28 16:15:15 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21  Running first-order theorem proving
% 0.07/0.21  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.09/1.10  % (3193436)Input is clausal, will run a generic CNF schedule.
% 3.09/1.10  % (3193442)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1234660749:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.09/1.10  % (3193446)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3110577786:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.09/1.10  % (3193443)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1341856683:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.09/1.10  % (3193444)lrs+10_1_sil=8000:sp=occurrence:random_seed=4234618429:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.09/1.10  % (3193441)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=3582167504:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.09/1.10  % (3193445)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1388587328:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.09/1.10  % (3193447)dis-21_1_sil=8000:lcm=predicate:random_seed=1884960807: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)
% 3.09/1.10  % (3193447)First to succeed.
% 3.09/1.10  % (3193445)Also succeeded, but the first one will report.
% 3.09/1.10  % (3193447)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3193436"
% 3.09/1.10  % (3193446)Also succeeded, but the first one will report.
% 3.09/1.10  % (3193444)Also succeeded, but the first one will report.
% 3.09/1.10  % (3193447)Refutation found. Thanks to Tanya!
% 3.09/1.10  % SZS status Unsatisfiable for theBenchmark
% 3.09/1.10  % SZS output start Proof for theBenchmark
% See solution above
% 3.69/1.29  % (3193447)------------------------------
% 3.69/1.29  % (3193447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.29  % (3193447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.29  % (3193447)CaDiCaL version: 2.1.3
% 3.69/1.29  % (3193447)Termination reason: Refutation
% 3.69/1.29  % (3193447)Time elapsed: 0.029 s
% 3.69/1.29  % (3193447)Peak memory usage: 90 MB
% 3.69/1.29  % (3193447)Instructions burned: 45 (million)
% 3.69/1.29  % (3193447)------------------------------
% 3.69/1.29  % (3193447)------------------------------
% 3.69/1.29  % (3193436)Success in time 0.445 s
% 3.69/1.29  % Vampire exiting
%------------------------------------------------------------------------------