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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN507-1 : 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 : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:00:00 PM UTC 2026

% Result   : Unsatisfiable 3.05s 1.11s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :  298
% Syntax   : Number of formulae    : 1036 (  23 unt; 159 def)
%            Number of atoms       : 3337 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 4090 (1789   ~;2142   |;   0   &)
%                                         ( 159 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  193 ( 192 usr; 189 prp; 0-1 aty)
%            Number of functors    :   28 (  28 usr;  28 con; 0-0 aty)
%            Number of variables   :  168 (   0 sgn 168   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( hskp26
    | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f5,negated_conjecture,
    ( ~ hskp26
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).

fof(f20,negated_conjecture,
    ( ~ hskp11
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).

fof(f32,negated_conjecture,
    ( hskp26
    | hskp12
    | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).

fof(f34,negated_conjecture,
    ( hskp29
    | hskp7
    | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f36,negated_conjecture,
    ( ~ hskp29
    | c0_1(a678) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f37,negated_conjecture,
    ( ~ hskp29
    | c2_1(a678) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( ~ hskp29
    | c3_1(a678) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ( ~ hskp28
    | c1_1(a612) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ( ~ hskp28
    | c2_1(a612) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ( ~ hskp28
    | c3_1(a612) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( ~ hskp27
    | c0_1(a611) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( ~ hskp27
    | c1_1(a611) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp27
    | c3_1(a611) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp26
    | c0_1(a583) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp26
    | c1_1(a583) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp26
    | c2_1(a583) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp25
    | c2_1(a651) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp24
    | c0_1(a648) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( ~ hskp24
    | c1_1(a648) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f52,negated_conjecture,
    ( ~ hskp22
    | c1_1(a633) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( ~ hskp21
    | c0_1(a629) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( ~ hskp19
    | c2_1(a617) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f55,negated_conjecture,
    ( ~ hskp18
    | c3_1(a610) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( ~ hskp17
    | c3_1(a607) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( ~ hskp16
    | c1_1(a606) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( ~ hskp15
    | c1_1(a604) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp15
    | c3_1(a604) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp14
    | c0_1(a603) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp12
    | c0_1(a600) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp12
    | c2_1(a600) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp11
    | c2_1(a599) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp11
    | c3_1(a599) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( ~ hskp10
    | c0_1(a598) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( ~ hskp10
    | c3_1(a598) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( ~ hskp8
    | c1_1(a593) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp8
    | c3_1(a593) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp7
    | c2_1(a592) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp6
    | c2_1(a590) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp6
    | c3_1(a590) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp5
    | c0_1(a589) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp5
    | c1_1(a589) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp4
    | c0_1(a588) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp3
    | c0_1(a587) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp3
    | c2_1(a587) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f79,negated_conjecture,
    ( ~ hskp1
    | c1_1(a585) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp1
    | c2_1(a585) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp0
    | c1_1(a584) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ c1_1(a651)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ c3_1(a651)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ c3_1(a648)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f87,negated_conjecture,
    ( ~ c0_1(a633)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ c3_1(a633)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ c2_1(a629)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ c3_1(a629)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( ~ c1_1(a623)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ c2_1(a623)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ c3_1(a623)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ c0_1(a617)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ c1_1(a617)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ c0_1(a610)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ c2_1(a610)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ c1_1(a607)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c2_1(a607)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c2_1(a606)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ c3_1(a606)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ c0_1(a604)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ c1_1(a603)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ c3_1(a603)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ c0_1(a601)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c1_1(a601)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c2_1(a601)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c3_1(a600)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ c1_1(a599)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c1_1(a598)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ c0_1(a595)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ c1_1(a595)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ c3_1(a595)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c2_1(a593)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c0_1(a592)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c3_1(a592)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c0_1(a590)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c2_1(a589)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ c1_1(a588)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ c2_1(a588)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c1_1(a587)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f123,negated_conjecture,
    ( ~ c0_1(a585)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ c0_1(a584)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ c2_1(a584)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f128,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp12
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f131,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp5
      | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f134,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp10
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f135,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp8
      | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp28
      | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f138,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp22
      | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f141,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp8
      | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp25
      | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp19
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f144,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp7
      | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp10
      | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp15
      | hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f149,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp0
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f150,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp26
      | hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f151,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp5
      | hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f152,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp21
      | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f153,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp15
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f154,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp3
      | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f155,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp3
      | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f157,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp27
      | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f159,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp7
      | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f161,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp29
      | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f162,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp29
      | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

fof(f163,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp19
      | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f170,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f172,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f175,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f177,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f178,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f180,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f185,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X1)
      | c1_1(X1)
      | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f186,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f187,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

fof(f189,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

fof(f190,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c0_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).

fof(f191,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c1_1(X1)
      | hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).

fof(f192,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c2_1(X1)
      | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).

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

fof(f194,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).

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

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

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

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

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

fof(f202,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f203,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f205,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f206,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f208,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f211,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f212,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f213,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f200,f211,f208,f205,f202]) ).

fof(f215,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f216,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f217,plain,
    ( spl0_5
    | spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f199,f211,f208,f202,f215]) ).

fof(f219,definition,
    ( spl0_6
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f220,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f222,definition,
    ( spl0_7
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f223,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f225,definition,
    ( spl0_8
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f226,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f227,plain,
    ( spl0_6
    | spl0_7
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f198,f225,f208,f222,f219]) ).

fof(f232,definition,
    ( spl0_10
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f233,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f235,definition,
    ( spl0_11
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f236,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f239,definition,
    ( spl0_12
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f240,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | c2_1(X2) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f241,plain,
    ( spl0_12
    | spl0_7
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f196,f232,f208,f222,f239]) ).

fof(f243,definition,
    ( spl0_13
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f244,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f246,definition,
    ( spl0_14
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f247,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f248,plain,
    ( spl0_12
    | spl0_13
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f195,f246,f208,f243,f239]) ).

fof(f250,definition,
    ( spl0_15
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f253,definition,
    ( spl0_16
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f254,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f256,definition,
    ( spl0_17
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f257,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f258,plain,
    ( spl0_15
    | spl0_16
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f194,f256,f208,f253,f250]) ).

fof(f260,definition,
    ( spl0_18
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f261,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f263,definition,
    ( spl0_19
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f264,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f266,definition,
    ( spl0_20
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f267,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f268,plain,
    ( spl0_18
    | spl0_19
    | ~ spl0_3
    | spl0_20 ),
    inference(avatar_split_clause,[],[f193,f266,f208,f263,f260]) ).

fof(f270,definition,
    ( spl0_21
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f273,definition,
    ( spl0_22
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f274,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f275,plain,
    ( spl0_21
    | spl0_22
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f192,f211,f208,f273,f270]) ).

fof(f277,definition,
    ( spl0_23
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f280,definition,
    ( spl0_24
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f281,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f282,plain,
    ( spl0_23
    | spl0_24
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f191,f225,f208,f280,f277]) ).

fof(f284,definition,
    ( spl0_25
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f286,plain,
    ( spl0_25
    | spl0_5
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f190,f253,f208,f215,f284]) ).

fof(f288,definition,
    ( spl0_26
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f291,definition,
    ( spl0_27
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f292,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f291]) ).

fof(f293,plain,
    ( spl0_26
    | spl0_10
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f189,f291,f208,f232,f288]) ).

fof(f296,definition,
    ( spl0_28
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f299,definition,
    ( spl0_29
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f300,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f301,plain,
    ( spl0_28
    | spl0_13
    | ~ spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f187,f299,f208,f243,f296]) ).

fof(f303,definition,
    ( spl0_30
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f306,definition,
    ( spl0_31
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f307,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f308,plain,
    ( spl0_30
    | spl0_13
    | ~ spl0_3
    | spl0_31 ),
    inference(avatar_split_clause,[],[f186,f306,f208,f243,f303]) ).

fof(f310,definition,
    ( spl0_32
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f313,definition,
    ( spl0_33
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f314,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f315,plain,
    ( spl0_32
    | spl0_33
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f185,f253,f208,f313,f310]) ).

fof(f317,definition,
    ( spl0_34
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f320,definition,
    ( spl0_35
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f321,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f320]) ).

fof(f323,plain,
    ( spl0_30
    | spl0_20
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f183,f235,f208,f266,f303]) ).

fof(f329,definition,
    ( spl0_37
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f331,plain,
    ( spl0_37
    | spl0_14
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f181,f235,f208,f246,f329]) ).

fof(f332,plain,
    ( spl0_28
    | spl0_7
    | ~ spl0_3
    | spl0_20 ),
    inference(avatar_split_clause,[],[f180,f266,f208,f222,f296]) ).

fof(f334,definition,
    ( spl0_38
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f335,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f336,plain,
    ( spl0_26
    | spl0_38
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f179,f235,f208,f334,f288]) ).

fof(f338,definition,
    ( spl0_39
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f340,plain,
    ( spl0_39
    | spl0_38
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f178,f205,f208,f334,f338]) ).

fof(f342,definition,
    ( spl0_40
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f345,definition,
    ( spl0_41
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f346,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f347,plain,
    ( spl0_40
    | spl0_19
    | ~ spl0_3
    | spl0_41 ),
    inference(avatar_split_clause,[],[f177,f345,f208,f263,f342]) ).

fof(f349,definition,
    ( spl0_42
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f351,plain,
    ( spl0_42
    | spl0_12
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f176,f211,f208,f239,f349]) ).

fof(f352,plain,
    ( spl0_30
    | spl0_33
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f175,f215,f208,f313,f303]) ).

fof(f354,definition,
    ( spl0_43
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f357,definition,
    ( spl0_44
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f358,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f359,plain,
    ( spl0_43
    | spl0_1
    | ~ spl0_3
    | spl0_44 ),
    inference(avatar_split_clause,[],[f174,f357,f208,f202,f354]) ).

fof(f361,definition,
    ( spl0_45
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f368,definition,
    ( spl0_47
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f369,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f370,plain,
    ( spl0_21
    | spl0_47
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f172,f246,f208,f368,f270]) ).

fof(f372,definition,
    ( spl0_48
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f376,definition,
    ( spl0_49
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f377,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f378,plain,
    ( spl0_28
    | spl0_19
    | ~ spl0_3
    | spl0_49 ),
    inference(avatar_split_clause,[],[f170,f376,f208,f263,f296]) ).

fof(f379,plain,
    ( spl0_37
    | spl0_18
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f169,f243,f208,f260,f329]) ).

fof(f389,definition,
    ( spl0_51
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f392,definition,
    ( spl0_52
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f394,plain,
    ( spl0_51
    | spl0_52
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f163,f225,f208,f392,f389]) ).

fof(f396,definition,
    ( spl0_53
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f398,plain,
    ( spl0_21
    | spl0_53
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f162,f225,f208,f396,f270]) ).

fof(f399,plain,
    ( spl0_48
    | spl0_53
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f161,f291,f208,f396,f372]) ).

fof(f402,definition,
    ( spl0_54
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f404,plain,
    ( spl0_51
    | spl0_54
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f159,f235,f208,f402,f389]) ).

fof(f406,definition,
    ( spl0_55
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f409,plain,
    ( spl0_30
    | spl0_39
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f157,f235,f208,f338,f303]) ).

fof(f411,definition,
    ( spl0_56
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f414,plain,
    ( spl0_40
    | spl0_43
    | ~ spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f155,f299,f208,f354,f342]) ).

fof(f415,plain,
    ( spl0_40
    | spl0_43
    | ~ spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f154,f273,f208,f354,f342]) ).

fof(f416,plain,
    ( spl0_42
    | spl0_23
    | ~ spl0_3
    | spl0_31 ),
    inference(avatar_split_clause,[],[f153,f306,f208,f277,f349]) ).

fof(f418,definition,
    ( spl0_57
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f420,plain,
    ( spl0_30
    | spl0_57
    | ~ spl0_3
    | spl0_31 ),
    inference(avatar_split_clause,[],[f152,f306,f208,f418,f303]) ).

fof(f422,definition,
    ( spl0_58
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f424,plain,
    ( spl0_34
    | spl0_58
    | ~ spl0_3
    | spl0_31 ),
    inference(avatar_split_clause,[],[f151,f306,f208,f422,f317]) ).

fof(f425,plain,
    ( spl0_26
    | spl0_45
    | ~ spl0_3
    | spl0_31 ),
    inference(avatar_split_clause,[],[f150,f306,f208,f361,f288]) ).

fof(f427,definition,
    ( spl0_59
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f429,plain,
    ( spl0_42
    | spl0_59
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f149,f205,f208,f427,f349]) ).

fof(f431,definition,
    ( spl0_60
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f433,plain,
    ( spl0_60
    | spl0_23
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f148,f205,f208,f277,f431]) ).

fof(f436,plain,
    ( spl0_56
    | spl0_15
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f145,f222,f208,f250,f411]) ).

fof(f437,plain,
    ( spl0_51
    | spl0_54
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f144,f243,f208,f402,f389]) ).

fof(f439,definition,
    ( spl0_61
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f441,plain,
    ( spl0_61
    | spl0_52
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f143,f215,f208,f392,f439]) ).

fof(f442,plain,
    ( spl0_32
    | spl0_60
    | ~ spl0_3
    | spl0_35 ),
    inference(avatar_split_clause,[],[f142,f320,f208,f431,f310]) ).

fof(f444,definition,
    ( spl0_62
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f446,plain,
    ( spl0_62
    | spl0_30
    | ~ spl0_3
    | spl0_35 ),
    inference(avatar_split_clause,[],[f141,f320,f208,f303,f444]) ).

fof(f449,plain,
    ( spl0_62
    | spl0_55
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f138,f246,f208,f406,f444]) ).

fof(f450,plain,
    ( spl0_30
    | spl0_26
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f137,f246,f208,f288,f303]) ).

fof(f452,plain,
    ( spl0_48
    | spl0_30
    | ~ spl0_3
    | spl0_47 ),
    inference(avatar_split_clause,[],[f135,f368,f208,f303,f372]) ).

fof(f453,plain,
    ( spl0_54
    | spl0_15
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f134,f263,f208,f250,f402]) ).

fof(f456,plain,
    ( spl0_62
    | spl0_58
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f131,f219,f208,f422,f444]) ).

fof(f459,plain,
    ( spl0_61
    | spl0_25
    | spl0_12
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f128,f208,f239,f284,f439]) ).

fof(f467,definition,
    ( spl0_64
  <=> c2_1(a584) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f469,plain,
    ( ~ spl0_59
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f125,f467,f427]) ).

fof(f471,definition,
    ( spl0_65
  <=> c0_1(a584) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f473,plain,
    ( ~ spl0_59
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f124,f471,f427]) ).

fof(f476,definition,
    ( spl0_66
  <=> c0_1(a585) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f478,plain,
    ( ~ spl0_37
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f123,f476,f329]) ).

fof(f486,definition,
    ( spl0_68
  <=> c1_1(a587) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f487,plain,
    ( ~ c1_1(a587)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f488,plain,
    ( ~ spl0_43
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f121,f486,f354]) ).

fof(f491,definition,
    ( spl0_69
  <=> c2_1(a588) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f493,plain,
    ( ~ spl0_56
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f120,f491,f411]) ).

fof(f495,definition,
    ( spl0_70
  <=> c1_1(a588) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f496,plain,
    ( ~ c1_1(a588)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f497,plain,
    ( ~ spl0_56
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f119,f495,f411]) ).

fof(f500,definition,
    ( spl0_71
  <=> c2_1(a589) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f502,plain,
    ( ~ spl0_58
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f118,f500,f422]) ).

fof(f505,definition,
    ( spl0_72
  <=> c0_1(a590) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f507,plain,
    ( ~ spl0_62
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f117,f505,f444]) ).

fof(f510,definition,
    ( spl0_73
  <=> c3_1(a592) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f511,plain,
    ( ~ c3_1(a592)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f512,plain,
    ( ~ spl0_54
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f116,f510,f402]) ).

fof(f514,definition,
    ( spl0_74
  <=> c0_1(a592) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f516,plain,
    ( ~ spl0_54
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f115,f514,f402]) ).

fof(f519,definition,
    ( spl0_75
  <=> c2_1(a593) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f521,plain,
    ( ~ spl0_30
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f114,f519,f303]) ).

fof(f524,definition,
    ( spl0_76
  <=> c3_1(a595) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f525,plain,
    ( ~ c3_1(a595)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f526,plain,
    ( ~ spl0_32
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f113,f524,f310]) ).

fof(f528,definition,
    ( spl0_77
  <=> c1_1(a595) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f529,plain,
    ( ~ c1_1(a595)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f530,plain,
    ( ~ spl0_32
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f112,f528,f310]) ).

fof(f532,definition,
    ( spl0_78
  <=> c0_1(a595) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f534,plain,
    ( ~ spl0_32
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f111,f532,f310]) ).

fof(f537,definition,
    ( spl0_79
  <=> c1_1(a598) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f538,plain,
    ( ~ c1_1(a598)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f539,plain,
    ( ~ spl0_15
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f110,f537,f250]) ).

fof(f542,definition,
    ( spl0_80
  <=> c1_1(a599) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f543,plain,
    ( ~ c1_1(a599)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f544,plain,
    ( ~ spl0_42
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f109,f542,f349]) ).

fof(f547,definition,
    ( spl0_81
  <=> c3_1(a600) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f548,plain,
    ( ~ c3_1(a600)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f549,plain,
    ( ~ spl0_25
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f108,f547,f284]) ).

fof(f552,definition,
    ( spl0_82
  <=> c2_1(a601) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f554,plain,
    ( ~ spl0_61
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f107,f552,f439]) ).

fof(f556,definition,
    ( spl0_83
  <=> c1_1(a601) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f557,plain,
    ( ~ c1_1(a601)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f558,plain,
    ( ~ spl0_61
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f106,f556,f439]) ).

fof(f560,definition,
    ( spl0_84
  <=> c0_1(a601) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f562,plain,
    ( ~ spl0_61
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f105,f560,f439]) ).

fof(f565,definition,
    ( spl0_85
  <=> c3_1(a603) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f566,plain,
    ( ~ c3_1(a603)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f567,plain,
    ( ~ spl0_21
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f104,f565,f270]) ).

fof(f569,definition,
    ( spl0_86
  <=> c1_1(a603) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f570,plain,
    ( ~ c1_1(a603)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f571,plain,
    ( ~ spl0_21
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f103,f569,f270]) ).

fof(f574,definition,
    ( spl0_87
  <=> c0_1(a604) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f576,plain,
    ( ~ spl0_23
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f102,f574,f277]) ).

fof(f579,definition,
    ( spl0_88
  <=> c3_1(a606) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f580,plain,
    ( ~ c3_1(a606)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f579]) ).

fof(f581,plain,
    ( ~ spl0_28
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f101,f579,f296]) ).

fof(f583,definition,
    ( spl0_89
  <=> c2_1(a606) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f585,plain,
    ( ~ spl0_28
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f100,f583,f296]) ).

fof(f588,definition,
    ( spl0_90
  <=> c2_1(a607) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f590,plain,
    ( ~ spl0_40
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f99,f588,f342]) ).

fof(f592,definition,
    ( spl0_91
  <=> c1_1(a607) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f593,plain,
    ( ~ c1_1(a607)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f594,plain,
    ( ~ spl0_40
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f98,f592,f342]) ).

fof(f597,definition,
    ( spl0_92
  <=> c2_1(a610) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f599,plain,
    ( ~ spl0_48
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f97,f597,f372]) ).

fof(f601,definition,
    ( spl0_93
  <=> c0_1(a610) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f603,plain,
    ( ~ spl0_48
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f96,f601,f372]) ).

fof(f606,definition,
    ( spl0_94
  <=> c1_1(a617) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f607,plain,
    ( ~ c1_1(a617)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f608,plain,
    ( ~ spl0_52
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f95,f606,f392]) ).

fof(f610,definition,
    ( spl0_95
  <=> c0_1(a617) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f612,plain,
    ( ~ spl0_52
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f94,f610,f392]) ).

fof(f615,definition,
    ( spl0_96
  <=> c3_1(a623) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f616,plain,
    ( ~ c3_1(a623)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f617,plain,
    ( ~ spl0_51
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f93,f615,f389]) ).

fof(f619,definition,
    ( spl0_97
  <=> c2_1(a623) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f621,plain,
    ( ~ spl0_51
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f92,f619,f389]) ).

fof(f623,definition,
    ( spl0_98
  <=> c1_1(a623) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f624,plain,
    ( ~ c1_1(a623)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f623]) ).

fof(f625,plain,
    ( ~ spl0_51
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f91,f623,f389]) ).

fof(f628,definition,
    ( spl0_99
  <=> c3_1(a629) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f629,plain,
    ( ~ c3_1(a629)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f630,plain,
    ( ~ spl0_57
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f90,f628,f418]) ).

fof(f632,definition,
    ( spl0_100
  <=> c2_1(a629) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f634,plain,
    ( ~ spl0_57
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f89,f632,f418]) ).

fof(f637,definition,
    ( spl0_101
  <=> c3_1(a633) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f639,plain,
    ( ~ spl0_55
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f88,f637,f406]) ).

fof(f641,definition,
    ( spl0_102
  <=> c0_1(a633) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f643,plain,
    ( ~ spl0_55
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f87,f641,f406]) ).

fof(f655,definition,
    ( spl0_105
  <=> c3_1(a648) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f657,plain,
    ( ~ spl0_34
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f84,f655,f317]) ).

fof(f660,definition,
    ( spl0_106
  <=> c3_1(a651) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f661,plain,
    ( ~ c3_1(a651)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f662,plain,
    ( ~ spl0_60
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f83,f660,f431]) ).

fof(f664,definition,
    ( spl0_107
  <=> c1_1(a651) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f665,plain,
    ( ~ c1_1(a651)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f666,plain,
    ( ~ spl0_60
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f82,f664,f431]) ).

fof(f668,definition,
    ( spl0_108
  <=> c1_1(a584) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f669,plain,
    ( c1_1(a584)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f670,plain,
    ( spl0_108
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f81,f427,f668]) ).

fof(f672,definition,
    ( spl0_109
  <=> c2_1(a585) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f674,plain,
    ( spl0_109
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f80,f329,f672]) ).

fof(f676,definition,
    ( spl0_110
  <=> c1_1(a585) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f677,plain,
    ( c1_1(a585)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f678,plain,
    ( spl0_110
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f79,f329,f676]) ).

fof(f688,definition,
    ( spl0_113
  <=> c2_1(a587) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f690,plain,
    ( spl0_113
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f76,f354,f688]) ).

fof(f692,definition,
    ( spl0_114
  <=> c0_1(a587) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f694,plain,
    ( spl0_114
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f75,f354,f692]) ).

fof(f696,definition,
    ( spl0_115
  <=> c0_1(a588) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f698,plain,
    ( spl0_115
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f74,f411,f696]) ).

fof(f700,definition,
    ( spl0_116
  <=> c1_1(a589) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f701,plain,
    ( c1_1(a589)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f702,plain,
    ( spl0_116
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f73,f422,f700]) ).

fof(f704,definition,
    ( spl0_117
  <=> c0_1(a589) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f706,plain,
    ( spl0_117
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f72,f422,f704]) ).

fof(f708,definition,
    ( spl0_118
  <=> c3_1(a590) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f709,plain,
    ( c3_1(a590)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f710,plain,
    ( spl0_118
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f71,f444,f708]) ).

fof(f712,definition,
    ( spl0_119
  <=> c2_1(a590) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f714,plain,
    ( spl0_119
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f70,f444,f712]) ).

fof(f716,definition,
    ( spl0_120
  <=> c2_1(a592) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f718,plain,
    ( spl0_120
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f69,f402,f716]) ).

fof(f720,definition,
    ( spl0_121
  <=> c3_1(a593) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f721,plain,
    ( c3_1(a593)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f722,plain,
    ( spl0_121
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f68,f303,f720]) ).

fof(f724,definition,
    ( spl0_122
  <=> c1_1(a593) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f725,plain,
    ( c1_1(a593)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f726,plain,
    ( spl0_122
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f67,f303,f724]) ).

fof(f728,definition,
    ( spl0_123
  <=> c3_1(a598) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f729,plain,
    ( c3_1(a598)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f728]) ).

fof(f730,plain,
    ( spl0_123
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f66,f250,f728]) ).

fof(f732,definition,
    ( spl0_124
  <=> c0_1(a598) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f734,plain,
    ( spl0_124
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f65,f250,f732]) ).

fof(f736,definition,
    ( spl0_125
  <=> c3_1(a599) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f737,plain,
    ( c3_1(a599)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f738,plain,
    ( spl0_125
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f64,f349,f736]) ).

fof(f740,definition,
    ( spl0_126
  <=> c2_1(a599) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f741,plain,
    ( c2_1(a599)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f742,plain,
    ( spl0_126
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f63,f349,f740]) ).

fof(f744,definition,
    ( spl0_127
  <=> c2_1(a600) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f746,plain,
    ( spl0_127
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f62,f284,f744]) ).

fof(f748,definition,
    ( spl0_128
  <=> c0_1(a600) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f750,plain,
    ( spl0_128
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f61,f284,f748]) ).

fof(f752,definition,
    ( spl0_129
  <=> c0_1(a603) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f754,plain,
    ( spl0_129
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f60,f270,f752]) ).

fof(f756,definition,
    ( spl0_130
  <=> c3_1(a604) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f757,plain,
    ( c3_1(a604)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f758,plain,
    ( spl0_130
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f59,f277,f756]) ).

fof(f760,definition,
    ( spl0_131
  <=> c1_1(a604) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f761,plain,
    ( c1_1(a604)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f762,plain,
    ( spl0_131
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f58,f277,f760]) ).

fof(f764,definition,
    ( spl0_132
  <=> c1_1(a606) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f765,plain,
    ( c1_1(a606)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f766,plain,
    ( spl0_132
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f57,f296,f764]) ).

fof(f768,definition,
    ( spl0_133
  <=> c3_1(a607) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f769,plain,
    ( c3_1(a607)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f770,plain,
    ( spl0_133
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f56,f342,f768]) ).

fof(f772,definition,
    ( spl0_134
  <=> c3_1(a610) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f773,plain,
    ( c3_1(a610)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f774,plain,
    ( spl0_134
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f55,f372,f772]) ).

fof(f776,definition,
    ( spl0_135
  <=> c2_1(a617) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f778,plain,
    ( spl0_135
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f54,f392,f776]) ).

fof(f780,definition,
    ( spl0_136
  <=> c0_1(a629) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f782,plain,
    ( spl0_136
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f53,f418,f780]) ).

fof(f784,definition,
    ( spl0_137
  <=> c1_1(a633) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f785,plain,
    ( c1_1(a633)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f784]) ).

fof(f786,plain,
    ( spl0_137
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f52,f406,f784]) ).

fof(f792,definition,
    ( spl0_139
  <=> c1_1(a648) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f793,plain,
    ( c1_1(a648)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f792]) ).

fof(f794,plain,
    ( spl0_139
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f50,f317,f792]) ).

fof(f796,definition,
    ( spl0_140
  <=> c0_1(a648) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f798,plain,
    ( spl0_140
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f49,f317,f796]) ).

fof(f800,definition,
    ( spl0_141
  <=> c2_1(a651) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f802,plain,
    ( spl0_141
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f48,f431,f800]) ).

fof(f804,definition,
    ( spl0_142
  <=> c2_1(a583) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f807,plain,
    ( spl0_142
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f47,f361,f804]) ).

fof(f809,definition,
    ( spl0_143
  <=> c1_1(a583) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f810,plain,
    ( c1_1(a583)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f809]) ).

fof(f811,plain,
    ( spl0_143
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f46,f361,f809]) ).

fof(f813,definition,
    ( spl0_144
  <=> c0_1(a583) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f815,plain,
    ( spl0_144
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f45,f361,f813]) ).

fof(f817,definition,
    ( spl0_145
  <=> c3_1(a611) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f818,plain,
    ( c3_1(a611)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f820,plain,
    ( spl0_145
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f44,f338,f817]) ).

fof(f822,definition,
    ( spl0_146
  <=> c1_1(a611) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f823,plain,
    ( c1_1(a611)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f824,plain,
    ( spl0_146
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f43,f338,f822]) ).

fof(f826,definition,
    ( spl0_147
  <=> c0_1(a611) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f828,plain,
    ( spl0_147
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f42,f338,f826]) ).

fof(f830,definition,
    ( spl0_148
  <=> c3_1(a612) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f831,plain,
    ( c3_1(a612)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f833,plain,
    ( spl0_148
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f41,f288,f830]) ).

fof(f835,definition,
    ( spl0_149
  <=> c2_1(a612) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f837,plain,
    ( spl0_149
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f40,f288,f835]) ).

fof(f839,definition,
    ( spl0_150
  <=> c1_1(a612) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f840,plain,
    ( c1_1(a612)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f841,plain,
    ( spl0_150
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f39,f288,f839]) ).

fof(f843,definition,
    ( spl0_151
  <=> c3_1(a678) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f844,plain,
    ( c3_1(a678)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f846,plain,
    ( spl0_151
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f38,f396,f843]) ).

fof(f848,definition,
    ( spl0_152
  <=> c2_1(a678) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f850,plain,
    ( spl0_152
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f37,f396,f848]) ).

fof(f852,definition,
    ( spl0_153
  <=> c0_1(a678) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f854,plain,
    ( spl0_153
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f36,f396,f852]) ).

fof(f856,plain,
    ( spl0_40
    | spl0_54
    | spl0_53 ),
    inference(avatar_split_clause,[],[f34,f396,f402,f342]) ).

fof(f858,plain,
    ( spl0_30
    | spl0_25
    | spl0_45 ),
    inference(avatar_split_clause,[],[f32,f361,f284,f303]) ).

fof(f871,plain,
    ( spl0_3
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f20,f349,f208]) ).

fof(f886,plain,
    ( spl0_3
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f5,f361,f208]) ).

fof(f890,plain,
    ( spl0_42
    | spl0_45 ),
    inference(avatar_split_clause,[],[f1,f361,f349]) ).

fof(f894,definition,
    ( spl0_154
  <=> c0_1(a593) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f903,definition,
    ( spl0_155
  <=> c0_1(a599) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f908,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(resolution,[],[f220,f216]) ).

fof(f913,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(duplicate_literal_removal,[],[f908]) ).

fof(f916,definition,
    ( spl0_156
  <=> c2_1(a595) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f949,definition,
    ( spl0_158
  <=> c3_1(a589) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f953,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(resolution,[],[f233,f216]) ).

fof(f956,plain,
    ( ~ c2_1(a599)
    | ~ c3_1(a599)
    | ~ spl0_10
    | spl0_80 ),
    inference(resolution,[],[f233,f543]) ).

fof(f959,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(duplicate_literal_removal,[],[f953]) ).

fof(f963,plain,
    ( spl0_7
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f959,f232,f215,f222]) ).

fof(f968,plain,
    ( ~ c3_1(a583)
    | ~ c0_1(a583)
    | ~ spl0_8
    | ~ spl0_143 ),
    inference(resolution,[],[f810,f226]) ).

fof(f975,definition,
    ( spl0_159
  <=> c3_1(a583) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f976,plain,
    ( ~ c3_1(a583)
    | spl0_159 ),
    inference(avatar_component_clause,[],[f975]) ).

fof(f977,plain,
    ( ~ spl0_144
    | ~ spl0_159
    | ~ spl0_8
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f968,f809,f225,f975,f813]) ).

fof(f982,plain,
    ( ~ c2_1(a599)
    | c0_1(a599)
    | ~ spl0_6
    | spl0_80 ),
    inference(resolution,[],[f220,f543]) ).

fof(f984,plain,
    ( ~ c2_1(a595)
    | c0_1(a595)
    | ~ spl0_6
    | spl0_77 ),
    inference(resolution,[],[f220,f529]) ).

fof(f988,plain,
    ( c0_1(a599)
    | ~ c2_1(a599)
    | ~ spl0_7
    | ~ spl0_125 ),
    inference(resolution,[],[f223,f737]) ).

fof(f990,plain,
    ( c0_1(a590)
    | ~ c2_1(a590)
    | ~ spl0_7
    | ~ spl0_118 ),
    inference(resolution,[],[f223,f709]) ).

fof(f991,plain,
    ( ~ spl0_119
    | spl0_72
    | ~ spl0_7
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f990,f708,f222,f505,f712]) ).

fof(f1010,plain,
    ( ~ c0_1(a583)
    | ~ c2_1(a583)
    | ~ spl0_11
    | spl0_159 ),
    inference(resolution,[],[f976,f236]) ).

fof(f1011,plain,
    ( ~ spl0_142
    | ~ spl0_144
    | ~ spl0_11
    | spl0_159 ),
    inference(avatar_split_clause,[],[f1010,f975,f235,f813,f804]) ).

fof(f1014,definition,
    ( spl0_160
  <=> c2_1(a603) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1021,plain,
    ( ~ c2_1(a617)
    | c0_1(a617)
    | ~ spl0_6
    | spl0_94 ),
    inference(resolution,[],[f607,f220]) ).

fof(f1029,plain,
    ( spl0_95
    | ~ spl0_135
    | ~ spl0_6
    | spl0_94 ),
    inference(avatar_split_clause,[],[f1021,f606,f219,f776,f610]) ).

fof(f1032,definition,
    ( spl0_162
  <=> c0_1(a623) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1037,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(resolution,[],[f244,f220]) ).

fof(f1040,plain,
    ( c0_1(a593)
    | ~ c3_1(a593)
    | ~ spl0_13
    | ~ spl0_122 ),
    inference(resolution,[],[f244,f725]) ).

fof(f1043,plain,
    ( c0_1(a584)
    | ~ c3_1(a584)
    | ~ spl0_13
    | ~ spl0_108 ),
    inference(resolution,[],[f244,f669]) ).

fof(f1045,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f1037]) ).

fof(f1047,definition,
    ( spl0_163
  <=> c3_1(a584) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1050,plain,
    ( ~ spl0_163
    | spl0_65
    | ~ spl0_13
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1043,f668,f243,f471,f1047]) ).

fof(f1054,plain,
    ( ~ spl0_121
    | spl0_154
    | ~ spl0_13
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1040,f724,f243,f894,f720]) ).

fof(f1061,plain,
    ( c2_1(a607)
    | ~ c0_1(a607)
    | ~ spl0_14
    | spl0_91 ),
    inference(resolution,[],[f247,f593]) ).

fof(f1064,plain,
    ( c2_1(a588)
    | ~ c0_1(a588)
    | ~ spl0_14
    | spl0_70 ),
    inference(resolution,[],[f247,f496]) ).

fof(f1065,plain,
    ( c2_1(a623)
    | ~ c0_1(a623)
    | ~ spl0_14
    | spl0_98 ),
    inference(resolution,[],[f247,f624]) ).

fof(f1070,plain,
    ( ~ spl0_162
    | spl0_97
    | ~ spl0_14
    | spl0_98 ),
    inference(avatar_split_clause,[],[f1065,f623,f246,f619,f1032]) ).

fof(f1073,plain,
    ( ~ spl0_115
    | spl0_69
    | ~ spl0_14
    | spl0_70 ),
    inference(avatar_split_clause,[],[f1064,f495,f246,f491,f696]) ).

fof(f1077,definition,
    ( spl0_164
  <=> c0_1(a607) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1080,plain,
    ( ~ spl0_164
    | spl0_90
    | ~ spl0_14
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1061,f592,f246,f588,f1077]) ).

fof(f1085,plain,
    ( c0_1(a633)
    | ~ c2_1(a633)
    | ~ spl0_5
    | ~ spl0_137 ),
    inference(resolution,[],[f785,f216]) ).

fof(f1088,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_6
    | ~ spl0_17 ),
    inference(resolution,[],[f257,f220]) ).

fof(f1097,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_6
    | ~ spl0_17 ),
    inference(duplicate_literal_removal,[],[f1088]) ).

fof(f1099,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_5
    | ~ spl0_18 ),
    inference(resolution,[],[f261,f216]) ).

fof(f1105,plain,
    ( c3_1(a623)
    | c0_1(a623)
    | ~ spl0_18
    | spl0_98 ),
    inference(resolution,[],[f261,f624]) ).

fof(f1106,plain,
    ( c3_1(a601)
    | c0_1(a601)
    | ~ spl0_18
    | spl0_83 ),
    inference(resolution,[],[f261,f557]) ).

fof(f1108,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_5
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f1099]) ).

fof(f1113,definition,
    ( spl0_166
  <=> c3_1(a601) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1115,plain,
    ( spl0_84
    | spl0_166
    | ~ spl0_18
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1106,f556,f260,f1113,f560]) ).

fof(f1118,plain,
    ( spl0_162
    | spl0_96
    | ~ spl0_18
    | spl0_98 ),
    inference(avatar_split_clause,[],[f1105,f623,f260,f615,f1032]) ).

fof(f1121,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(resolution,[],[f226,f247]) ).

fof(f1131,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f1121]) ).

fof(f1132,plain,
    ( spl0_31
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f1131,f246,f225,f306]) ).

fof(f1139,plain,
    ( c2_1(a633)
    | c0_1(a633)
    | ~ spl0_19
    | ~ spl0_137 ),
    inference(resolution,[],[f264,f785]) ).

fof(f1140,plain,
    ( c2_1(a593)
    | c0_1(a593)
    | ~ spl0_19
    | ~ spl0_122 ),
    inference(resolution,[],[f264,f725]) ).

fof(f1143,plain,
    ( c2_1(a584)
    | c0_1(a584)
    | ~ spl0_19
    | ~ spl0_108 ),
    inference(resolution,[],[f264,f669]) ).

fof(f1148,plain,
    ( spl0_65
    | spl0_64
    | ~ spl0_19
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1143,f668,f263,f467,f471]) ).

fof(f1154,definition,
    ( spl0_167
  <=> c2_1(a633) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1156,plain,
    ( spl0_102
    | spl0_167
    | ~ spl0_19
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1139,f784,f263,f1154,f641]) ).

fof(f1173,plain,
    ( ~ c0_1(a607)
    | ~ c3_1(a607)
    | ~ spl0_24
    | spl0_91 ),
    inference(resolution,[],[f281,f593]) ).

fof(f1175,plain,
    ( ~ c0_1(a599)
    | ~ c3_1(a599)
    | ~ spl0_24
    | spl0_80 ),
    inference(resolution,[],[f281,f543]) ).

fof(f1185,plain,
    ( ~ spl0_133
    | ~ spl0_164
    | ~ spl0_24
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1173,f592,f280,f1077,f768]) ).

fof(f1189,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_18
    | ~ spl0_27 ),
    inference(resolution,[],[f292,f261]) ).

fof(f1191,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_6
    | ~ spl0_27 ),
    inference(resolution,[],[f292,f220]) ).

fof(f1200,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_6
    | ~ spl0_27 ),
    inference(duplicate_literal_removal,[],[f1191]) ).

fof(f1201,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_18
    | ~ spl0_27 ),
    inference(duplicate_literal_removal,[],[f1189]) ).

fof(f1211,plain,
    ( c0_1(a604)
    | ~ c2_1(a604)
    | ~ spl0_5
    | ~ spl0_131 ),
    inference(resolution,[],[f761,f216]) ).

fof(f1214,definition,
    ( spl0_168
  <=> c2_1(a604) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1225,plain,
    ( c3_1(a583)
    | ~ c0_1(a583)
    | ~ spl0_29
    | ~ spl0_143 ),
    inference(resolution,[],[f300,f810]) ).

fof(f1235,plain,
    ( ~ spl0_144
    | spl0_159
    | ~ spl0_29
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1225,f809,f299,f975,f813]) ).

fof(f1239,definition,
    ( spl0_169
  <=> c0_1(a606) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1253,plain,
    ( c2_1(a593)
    | ~ c0_1(a593)
    | ~ spl0_31
    | ~ spl0_121 ),
    inference(resolution,[],[f307,f721]) ).

fof(f1261,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_5
    | ~ spl0_33 ),
    inference(resolution,[],[f314,f216]) ).

fof(f1265,plain,
    ( ~ c3_1(a599)
    | c0_1(a599)
    | ~ spl0_33
    | spl0_80 ),
    inference(resolution,[],[f314,f543]) ).

fof(f1270,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_5
    | ~ spl0_33 ),
    inference(duplicate_literal_removal,[],[f1261]) ).

fof(f1273,plain,
    ( ~ c3_1(a601)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f1113]) ).

fof(f1282,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_16
    | ~ spl0_24 ),
    inference(resolution,[],[f254,f281]) ).

fof(f1287,plain,
    ( ~ c2_1(a583)
    | ~ c0_1(a583)
    | ~ spl0_16
    | ~ spl0_143 ),
    inference(resolution,[],[f254,f810]) ).

fof(f1298,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_16
    | ~ spl0_24 ),
    inference(duplicate_literal_removal,[],[f1282]) ).

fof(f1299,plain,
    ( ~ spl0_144
    | ~ spl0_142
    | ~ spl0_16
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1287,f809,f253,f804,f813]) ).

fof(f1306,plain,
    ( spl0_4
    | ~ spl0_16
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f1298,f280,f253,f211]) ).

fof(f1307,plain,
    ( c0_1(a599)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_126 ),
    inference(resolution,[],[f741,f913]) ).

fof(f1308,plain,
    ( spl0_155
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1307,f740,f219,f215,f903]) ).

fof(f1314,definition,
    ( spl0_170
  <=> c0_1(a612) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1320,plain,
    ( ~ c3_1(a612)
    | ~ c2_1(a612)
    | ~ spl0_17
    | ~ spl0_150 ),
    inference(resolution,[],[f840,f257]) ).

fof(f1324,plain,
    ( ~ spl0_149
    | ~ spl0_148
    | ~ spl0_17
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1320,f839,f256,f830,f835]) ).

fof(f1333,plain,
    ( c2_1(a607)
    | ~ c3_1(a607)
    | ~ spl0_1
    | spl0_91 ),
    inference(resolution,[],[f203,f593]) ).

fof(f1345,plain,
    ( ~ spl0_133
    | spl0_90
    | ~ spl0_1
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1333,f592,f202,f588,f768]) ).

fof(f1349,plain,
    ( ~ spl0_167
    | spl0_102
    | ~ spl0_5
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1085,f784,f215,f641,f1154]) ).

fof(f1350,plain,
    ( spl0_47
    | ~ spl0_5
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f1108,f260,f215,f368]) ).

fof(f1352,plain,
    ( ~ spl0_168
    | spl0_87
    | ~ spl0_5
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1211,f760,f215,f574,f1214]) ).

fof(f1353,plain,
    ( spl0_47
    | ~ spl0_18
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f1201,f291,f260,f368]) ).

fof(f1355,plain,
    ( c2_1(a598)
    | ~ c0_1(a598)
    | ~ spl0_14
    | spl0_79 ),
    inference(resolution,[],[f538,f247]) ).

fof(f1358,definition,
    ( spl0_171
  <=> c2_1(a598) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1360,plain,
    ( ~ spl0_124
    | spl0_171
    | ~ spl0_14
    | spl0_79 ),
    inference(avatar_split_clause,[],[f1355,f537,f246,f1358,f732]) ).

fof(f1382,plain,
    ( c2_1(a606)
    | ~ c0_1(a606)
    | ~ spl0_2
    | ~ spl0_132 ),
    inference(resolution,[],[f206,f765]) ).

fof(f1390,plain,
    ( ~ spl0_169
    | spl0_89
    | ~ spl0_2
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1382,f764,f205,f583,f1239]) ).

fof(f1455,plain,
    ( c3_1(a633)
    | c2_1(a633)
    | ~ spl0_35
    | ~ spl0_137 ),
    inference(resolution,[],[f321,f785]) ).

fof(f1473,plain,
    ( c2_1(a610)
    | c0_1(a610)
    | ~ spl0_38
    | ~ spl0_134 ),
    inference(resolution,[],[f335,f773]) ).

fof(f1474,plain,
    ( c2_1(a607)
    | c0_1(a607)
    | ~ spl0_38
    | ~ spl0_133 ),
    inference(resolution,[],[f335,f769]) ).

fof(f1475,plain,
    ( c2_1(a604)
    | c0_1(a604)
    | ~ spl0_38
    | ~ spl0_130 ),
    inference(resolution,[],[f335,f757]) ).

fof(f1478,plain,
    ( c2_1(a593)
    | c0_1(a593)
    | ~ spl0_38
    | ~ spl0_121 ),
    inference(resolution,[],[f335,f721]) ).

fof(f1489,plain,
    ( spl0_164
    | spl0_90
    | ~ spl0_38
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1474,f768,f334,f588,f1077]) ).

fof(f1492,plain,
    ( spl0_93
    | spl0_92
    | ~ spl0_38
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1473,f772,f334,f597,f601]) ).

fof(f1508,plain,
    ( ~ c0_1(a603)
    | ~ c2_1(a603)
    | ~ spl0_11
    | spl0_85 ),
    inference(resolution,[],[f236,f566]) ).

fof(f1509,plain,
    ( ~ c0_1(a600)
    | ~ c2_1(a600)
    | ~ spl0_11
    | spl0_81 ),
    inference(resolution,[],[f236,f548]) ).

fof(f1516,plain,
    ( ~ spl0_127
    | ~ spl0_128
    | ~ spl0_11
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1509,f547,f235,f748,f744]) ).

fof(f1517,plain,
    ( ~ spl0_160
    | ~ spl0_129
    | ~ spl0_11
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1508,f565,f235,f752,f1014]) ).

fof(f1520,plain,
    ( c0_1(a606)
    | c2_1(a606)
    | ~ spl0_12
    | spl0_88 ),
    inference(resolution,[],[f580,f240]) ).

fof(f1521,plain,
    ( spl0_89
    | spl0_169
    | ~ spl0_12
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1520,f579,f239,f1239,f583]) ).

fof(f1522,plain,
    ( ~ c0_1(a651)
    | ~ c2_1(a651)
    | ~ spl0_11
    | spl0_106 ),
    inference(resolution,[],[f661,f236]) ).

fof(f1525,definition,
    ( spl0_173
  <=> c0_1(a651) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1530,plain,
    ( ~ spl0_141
    | ~ spl0_173
    | ~ spl0_11
    | spl0_106 ),
    inference(avatar_split_clause,[],[f1522,f660,f235,f1525,f800]) ).

fof(f1552,plain,
    ( c2_1(a604)
    | ~ c3_1(a604)
    | ~ spl0_22
    | ~ spl0_131 ),
    inference(resolution,[],[f274,f761]) ).

fof(f1553,plain,
    ( c2_1(a593)
    | ~ c3_1(a593)
    | ~ spl0_22
    | ~ spl0_122 ),
    inference(resolution,[],[f274,f725]) ).

fof(f1554,plain,
    ( c2_1(a589)
    | ~ c3_1(a589)
    | ~ spl0_22
    | ~ spl0_116 ),
    inference(resolution,[],[f274,f701]) ).

fof(f1561,plain,
    ( ~ spl0_121
    | spl0_75
    | ~ spl0_22
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1553,f724,f273,f519,f720]) ).

fof(f1568,plain,
    ( spl0_155
    | ~ spl0_126
    | ~ spl0_6
    | spl0_80 ),
    inference(avatar_split_clause,[],[f982,f542,f219,f740,f903]) ).

fof(f1569,plain,
    ( spl0_47
    | ~ spl0_6
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f1200,f291,f219,f368]) ).

fof(f1570,plain,
    ( spl0_7
    | ~ spl0_6
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f1097,f256,f219,f222]) ).

fof(f1573,plain,
    ( spl0_7
    | ~ spl0_5
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f1270,f313,f215,f222]) ).

fof(f1576,plain,
    ( spl0_155
    | ~ spl0_125
    | ~ spl0_33
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1265,f542,f313,f736,f903]) ).

fof(f1581,plain,
    ( ~ spl0_130
    | spl0_168
    | ~ spl0_22
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1552,f760,f273,f1214,f756]) ).

fof(f1582,plain,
    ( ~ spl0_158
    | spl0_71
    | ~ spl0_22
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1554,f700,f273,f500,f949]) ).

fof(f1583,plain,
    ( ~ spl0_125
    | ~ spl0_155
    | ~ spl0_24
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1175,f542,f280,f903,f736]) ).

fof(f1587,plain,
    ( spl0_167
    | spl0_101
    | ~ spl0_35
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1455,f784,f320,f637,f1154]) ).

fof(f1596,plain,
    ( ~ spl0_125
    | ~ spl0_126
    | ~ spl0_10
    | spl0_80 ),
    inference(avatar_split_clause,[],[f956,f542,f232,f740,f736]) ).

fof(f1599,plain,
    ( spl0_7
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f1045,f243,f219,f222]) ).

fof(f1605,plain,
    ( spl0_78
    | ~ spl0_156
    | ~ spl0_6
    | spl0_77 ),
    inference(avatar_split_clause,[],[f984,f528,f219,f916,f532]) ).

fof(f1625,plain,
    ( ~ spl0_126
    | spl0_155
    | ~ spl0_7
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f988,f736,f222,f903,f740]) ).

fof(f1628,plain,
    ( ~ c0_1(a603)
    | c2_1(a603)
    | ~ spl0_20
    | spl0_85 ),
    inference(resolution,[],[f566,f267]) ).

fof(f1629,plain,
    ( spl0_160
    | ~ spl0_129
    | ~ spl0_20
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1628,f565,f266,f752,f1014]) ).

fof(f1630,plain,
    ( c2_1(a603)
    | ~ c0_1(a603)
    | ~ spl0_14
    | spl0_86 ),
    inference(resolution,[],[f570,f247]) ).

fof(f1631,plain,
    ( ~ spl0_129
    | spl0_160
    | ~ spl0_14
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1630,f569,f246,f1014,f752]) ).

fof(f1632,plain,
    ( ~ c0_1(a629)
    | c2_1(a629)
    | ~ spl0_20
    | spl0_99 ),
    inference(resolution,[],[f629,f267]) ).

fof(f1635,plain,
    ( spl0_100
    | ~ spl0_136
    | ~ spl0_20
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1632,f628,f266,f780,f632]) ).

fof(f1637,plain,
    ( c0_1(a585)
    | ~ c2_1(a585)
    | ~ spl0_5
    | ~ spl0_110 ),
    inference(resolution,[],[f677,f216]) ).

fof(f1640,plain,
    ( ~ spl0_109
    | spl0_66
    | ~ spl0_5
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1637,f676,f215,f476,f672]) ).

fof(f1647,definition,
    ( spl0_174
  <=> c2_1(a611) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1653,plain,
    ( c0_1(a612)
    | ~ c2_1(a612)
    | ~ spl0_5
    | ~ spl0_150 ),
    inference(resolution,[],[f840,f216]) ).

fof(f1654,plain,
    ( ~ spl0_149
    | spl0_170
    | ~ spl0_5
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1653,f839,f215,f1314,f835]) ).

fof(f1665,plain,
    ( c2_1(a601)
    | ~ c3_1(a601)
    | ~ spl0_1
    | spl0_83 ),
    inference(resolution,[],[f203,f557]) ).

fof(f1666,plain,
    ( ~ spl0_166
    | spl0_82
    | ~ spl0_1
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1665,f556,f202,f552,f1113]) ).

fof(f1682,plain,
    ( c0_1(a612)
    | ~ c2_1(a612)
    | ~ spl0_7
    | ~ spl0_148 ),
    inference(resolution,[],[f223,f831]) ).

fof(f1687,plain,
    ( c0_1(a604)
    | ~ c2_1(a604)
    | ~ spl0_7
    | ~ spl0_130 ),
    inference(resolution,[],[f223,f757]) ).

fof(f1692,plain,
    ( ~ spl0_168
    | spl0_87
    | ~ spl0_7
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1687,f756,f222,f574,f1214]) ).

fof(f1694,plain,
    ( ~ spl0_149
    | spl0_170
    | ~ spl0_7
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1682,f830,f222,f1314,f835]) ).

fof(f1714,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(resolution,[],[f244,f203]) ).

fof(f1716,plain,
    ( c0_1(a612)
    | ~ c3_1(a612)
    | ~ spl0_13
    | ~ spl0_150 ),
    inference(resolution,[],[f244,f840]) ).

fof(f1719,plain,
    ( c0_1(a604)
    | ~ c3_1(a604)
    | ~ spl0_13
    | ~ spl0_131 ),
    inference(resolution,[],[f244,f761]) ).

fof(f1721,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f1714]) ).

fof(f1723,plain,
    ( ~ spl0_130
    | spl0_87
    | ~ spl0_13
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1719,f760,f243,f574,f756]) ).

fof(f1724,plain,
    ( ~ spl0_148
    | spl0_170
    | ~ spl0_13
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1716,f839,f243,f1314,f830]) ).

fof(f1725,plain,
    ( spl0_38
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f1721,f243,f202,f334]) ).

fof(f1750,plain,
    ( ~ c3_1(a601)
    | c0_1(a601)
    | ~ spl0_33
    | spl0_83 ),
    inference(resolution,[],[f314,f557]) ).

fof(f1752,plain,
    ( spl0_84
    | ~ spl0_166
    | ~ spl0_33
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1750,f556,f313,f1113,f560]) ).

fof(f1761,plain,
    ( c3_1(a589)
    | c2_1(a589)
    | ~ spl0_35
    | ~ spl0_116 ),
    inference(resolution,[],[f321,f701]) ).

fof(f1765,plain,
    ( spl0_71
    | spl0_158
    | ~ spl0_35
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1761,f700,f320,f949,f500]) ).

fof(f1768,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_29
    | ~ spl0_41 ),
    inference(resolution,[],[f346,f300]) ).

fof(f1771,plain,
    ( ~ c0_1(a599)
    | ~ c2_1(a599)
    | ~ spl0_41
    | spl0_80 ),
    inference(resolution,[],[f346,f543]) ).

fof(f1773,plain,
    ( ~ c0_1(a587)
    | ~ c2_1(a587)
    | ~ spl0_41
    | spl0_68 ),
    inference(resolution,[],[f346,f487]) ).

fof(f1776,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_29
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f1768]) ).

fof(f1778,plain,
    ( ~ spl0_113
    | ~ spl0_114
    | ~ spl0_41
    | spl0_68 ),
    inference(avatar_split_clause,[],[f1773,f486,f345,f692,f688]) ).

fof(f1780,plain,
    ( ~ spl0_126
    | ~ spl0_155
    | ~ spl0_41
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1771,f542,f345,f903,f740]) ).

fof(f1782,plain,
    ( spl0_11
    | ~ spl0_29
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f1776,f345,f299,f235]) ).

fof(f1785,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_1
    | ~ spl0_19 ),
    inference(resolution,[],[f264,f203]) ).

fof(f1790,plain,
    ( c2_1(a604)
    | c0_1(a604)
    | ~ spl0_19
    | ~ spl0_131 ),
    inference(resolution,[],[f264,f761]) ).

fof(f1794,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_1
    | ~ spl0_19 ),
    inference(duplicate_literal_removal,[],[f1785]) ).

fof(f1797,plain,
    ( spl0_87
    | spl0_168
    | ~ spl0_19
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1790,f760,f263,f1214,f574]) ).

fof(f1798,plain,
    ( spl0_38
    | ~ spl0_1
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f1794,f263,f202,f334]) ).

fof(f1806,plain,
    ( spl0_87
    | spl0_168
    | ~ spl0_38
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1475,f756,f334,f1214,f574]) ).

fof(f1807,plain,
    ( spl0_154
    | spl0_75
    | ~ spl0_38
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1478,f720,f334,f519,f894]) ).

fof(f1810,plain,
    ( spl0_154
    | spl0_75
    | ~ spl0_19
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1140,f724,f263,f519,f894]) ).

fof(f1821,plain,
    ( ~ c2_1(a651)
    | c0_1(a651)
    | ~ spl0_6
    | spl0_107 ),
    inference(resolution,[],[f665,f220]) ).

fof(f1825,plain,
    ( spl0_173
    | ~ spl0_141
    | ~ spl0_6
    | spl0_107 ),
    inference(avatar_split_clause,[],[f1821,f664,f219,f800,f1525]) ).

fof(f1830,plain,
    ( ~ c3_1(a611)
    | ~ c0_1(a611)
    | ~ spl0_8
    | ~ spl0_146 ),
    inference(resolution,[],[f226,f823]) ).

fof(f1838,plain,
    ( ~ spl0_147
    | ~ spl0_145
    | ~ spl0_8
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1830,f822,f225,f817,f826]) ).

fof(f1871,plain,
    ( c3_1(a584)
    | c2_1(a584)
    | ~ spl0_35
    | ~ spl0_108 ),
    inference(resolution,[],[f669,f321]) ).

fof(f1872,plain,
    ( spl0_64
    | spl0_163
    | ~ spl0_35
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1871,f668,f320,f1047,f467]) ).

fof(f1874,plain,
    ( ~ c3_1(a593)
    | ~ c0_1(a593)
    | ~ spl0_8
    | ~ spl0_122 ),
    inference(resolution,[],[f725,f226]) ).

fof(f1878,plain,
    ( ~ spl0_154
    | ~ spl0_121
    | ~ spl0_8
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1874,f724,f225,f720,f894]) ).

fof(f1881,plain,
    ( c3_1(a648)
    | ~ c0_1(a648)
    | ~ spl0_29
    | ~ spl0_139 ),
    inference(resolution,[],[f793,f300]) ).

fof(f1885,plain,
    ( ~ spl0_140
    | spl0_105
    | ~ spl0_29
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1881,f792,f299,f655,f796]) ).

fof(f1890,plain,
    ( ~ spl0_154
    | spl0_75
    | ~ spl0_31
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1253,f720,f306,f519,f894]) ).

fof(f1896,plain,
    ( ~ c3_1(a612)
    | ~ c0_1(a612)
    | ~ spl0_8
    | ~ spl0_150 ),
    inference(resolution,[],[f840,f226]) ).

fof(f1900,plain,
    ( ~ spl0_170
    | ~ spl0_148
    | ~ spl0_8
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1896,f839,f225,f830,f1314]) ).

fof(f1903,plain,
    ( c2_1(a593)
    | ~ c0_1(a593)
    | ~ spl0_2
    | ~ spl0_122 ),
    inference(resolution,[],[f206,f725]) ).

fof(f1904,plain,
    ( c2_1(a589)
    | ~ c0_1(a589)
    | ~ spl0_2
    | ~ spl0_116 ),
    inference(resolution,[],[f206,f701]) ).

fof(f1907,plain,
    ( ~ spl0_117
    | spl0_71
    | ~ spl0_2
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1904,f700,f205,f500,f704]) ).

fof(f1908,plain,
    ( ~ spl0_154
    | spl0_75
    | ~ spl0_2
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1903,f724,f205,f519,f894]) ).

fof(f1911,plain,
    ( ~ c0_1(a678)
    | ~ c2_1(a678)
    | ~ spl0_4
    | ~ spl0_151 ),
    inference(resolution,[],[f212,f844]) ).

fof(f1912,plain,
    ( ~ c0_1(a612)
    | ~ c2_1(a612)
    | ~ spl0_4
    | ~ spl0_148 ),
    inference(resolution,[],[f212,f831]) ).

fof(f1913,plain,
    ( ~ c0_1(a611)
    | ~ c2_1(a611)
    | ~ spl0_4
    | ~ spl0_145 ),
    inference(resolution,[],[f212,f818]) ).

fof(f1916,plain,
    ( ~ c0_1(a599)
    | ~ c2_1(a599)
    | ~ spl0_4
    | ~ spl0_125 ),
    inference(resolution,[],[f212,f737]) ).

fof(f1917,plain,
    ( ~ c0_1(a598)
    | ~ c2_1(a598)
    | ~ spl0_4
    | ~ spl0_123 ),
    inference(resolution,[],[f212,f729]) ).

fof(f1921,plain,
    ( ~ spl0_171
    | ~ spl0_124
    | ~ spl0_4
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1917,f728,f211,f732,f1358]) ).

fof(f1922,plain,
    ( ~ spl0_126
    | ~ spl0_155
    | ~ spl0_4
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1916,f736,f211,f903,f740]) ).

fof(f1923,plain,
    ( ~ spl0_174
    | ~ spl0_147
    | ~ spl0_4
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1913,f817,f211,f826,f1647]) ).

fof(f1924,plain,
    ( ~ spl0_149
    | ~ spl0_170
    | ~ spl0_4
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1912,f830,f211,f1314,f835]) ).

fof(f1926,plain,
    ( ~ spl0_152
    | ~ spl0_153
    | ~ spl0_4
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1911,f843,f211,f852,f848]) ).

fof(f1934,plain,
    ( c0_1(a623)
    | c2_1(a623)
    | ~ spl0_12
    | spl0_96 ),
    inference(resolution,[],[f240,f616]) ).

fof(f1935,plain,
    ( c0_1(a601)
    | c2_1(a601)
    | ~ spl0_12
    | spl0_166 ),
    inference(resolution,[],[f240,f1273]) ).

fof(f1936,plain,
    ( c0_1(a595)
    | c2_1(a595)
    | ~ spl0_12
    | spl0_76 ),
    inference(resolution,[],[f240,f525]) ).

fof(f1937,plain,
    ( spl0_156
    | spl0_78
    | ~ spl0_12
    | spl0_76 ),
    inference(avatar_split_clause,[],[f1936,f524,f239,f532,f916]) ).

fof(f1938,plain,
    ( spl0_82
    | spl0_84
    | ~ spl0_12
    | spl0_166 ),
    inference(avatar_split_clause,[],[f1935,f1113,f239,f560,f552]) ).

fof(f1939,plain,
    ( spl0_97
    | spl0_162
    | ~ spl0_12
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1934,f615,f239,f1032,f619]) ).

fof(f1961,plain,
    ( c2_1(a611)
    | ~ c0_1(a611)
    | ~ spl0_31
    | ~ spl0_145 ),
    inference(resolution,[],[f307,f818]) ).

fof(f1965,plain,
    ( c2_1(a598)
    | ~ c0_1(a598)
    | ~ spl0_31
    | ~ spl0_123 ),
    inference(resolution,[],[f307,f729]) ).

fof(f1970,plain,
    ( ~ spl0_124
    | spl0_171
    | ~ spl0_31
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1965,f728,f306,f1358,f732]) ).

fof(f1972,plain,
    ( ~ spl0_147
    | spl0_174
    | ~ spl0_31
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1961,f817,f306,f1647,f826]) ).

fof(f1983,plain,
    ( c3_1(a603)
    | ~ c0_1(a603)
    | ~ spl0_44
    | spl0_86 ),
    inference(resolution,[],[f358,f570]) ).

fof(f2004,plain,
    ( ~ spl0_129
    | spl0_85
    | ~ spl0_44
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1983,f569,f357,f565,f752]) ).

fof(f2037,plain,
    ( ~ c2_1(a651)
    | c0_1(a651)
    | ~ spl0_47
    | spl0_106 ),
    inference(resolution,[],[f369,f661]) ).

fof(f2042,plain,
    ( ~ c2_1(a592)
    | c0_1(a592)
    | ~ spl0_47
    | spl0_73 ),
    inference(resolution,[],[f369,f511]) ).

fof(f2044,plain,
    ( ~ c2_1(a595)
    | c0_1(a595)
    | ~ spl0_47
    | spl0_76 ),
    inference(resolution,[],[f369,f525]) ).

fof(f2046,plain,
    ( spl0_78
    | ~ spl0_156
    | ~ spl0_47
    | spl0_76 ),
    inference(avatar_split_clause,[],[f2044,f524,f368,f916,f532]) ).

fof(f2050,plain,
    ( spl0_74
    | ~ spl0_120
    | ~ spl0_47
    | spl0_73 ),
    inference(avatar_split_clause,[],[f2042,f510,f368,f716,f514]) ).

fof(f2052,plain,
    ( spl0_173
    | ~ spl0_141
    | ~ spl0_47
    | spl0_106 ),
    inference(avatar_split_clause,[],[f2037,f660,f368,f800,f1525]) ).

fof(f2060,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_29
    | ~ spl0_49 ),
    inference(resolution,[],[f377,f300]) ).

fof(f2074,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_29
    | ~ spl0_49 ),
    inference(duplicate_literal_removal,[],[f2060]) ).

fof(f2083,plain,
    ( spl0_11
    | ~ spl0_29
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f2074,f376,f299,f235]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f213]) ).

cnf(s2,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f217]) ).

cnf(s3,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f227]) ).

cnf(s5,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_10
    | spl0_12 ),
    inference(sat_conversion,[],[f241]) ).

cnf(s6,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f248]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f258]) ).

cnf(s8,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f268]) ).

cnf(s9,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_21
    | spl0_22 ),
    inference(sat_conversion,[],[f275]) ).

cnf(s10,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_23
    | spl0_24 ),
    inference(sat_conversion,[],[f282]) ).

cnf(s11,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_16
    | spl0_25 ),
    inference(sat_conversion,[],[f286]) ).

cnf(s12,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_26
    | spl0_27 ),
    inference(sat_conversion,[],[f293]) ).

cnf(s14,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_28
    | spl0_29 ),
    inference(sat_conversion,[],[f301]) ).

cnf(s15,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_30
    | spl0_31 ),
    inference(sat_conversion,[],[f308]) ).

cnf(s16,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_32
    | spl0_33 ),
    inference(sat_conversion,[],[f315]) ).

cnf(s18,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_20
    | spl0_30 ),
    inference(sat_conversion,[],[f323]) ).

cnf(s20,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_14
    | spl0_37 ),
    inference(sat_conversion,[],[f331]) ).

cnf(s21,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_20
    | spl0_28 ),
    inference(sat_conversion,[],[f332]) ).

cnf(s22,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_26
    | spl0_38 ),
    inference(sat_conversion,[],[f336]) ).

cnf(s23,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_38
    | spl0_39 ),
    inference(sat_conversion,[],[f340]) ).

cnf(s24,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_40
    | spl0_41 ),
    inference(sat_conversion,[],[f347]) ).

cnf(s25,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_12
    | spl0_42 ),
    inference(sat_conversion,[],[f351]) ).

cnf(s26,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_30
    | spl0_33 ),
    inference(sat_conversion,[],[f352]) ).

cnf(s27,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_43
    | spl0_44 ),
    inference(sat_conversion,[],[f359]) ).

cnf(s29,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_21
    | spl0_47 ),
    inference(sat_conversion,[],[f370]) ).

cnf(s31,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_28
    | spl0_49 ),
    inference(sat_conversion,[],[f378]) ).

cnf(s32,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_18
    | spl0_37 ),
    inference(sat_conversion,[],[f379]) ).

cnf(s38,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_51
    | spl0_52 ),
    inference(sat_conversion,[],[f394]) ).

cnf(s39,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_21
    | spl0_53 ),
    inference(sat_conversion,[],[f398]) ).

cnf(s40,plain,
    ( ~ spl0_3
    | spl0_27
    | spl0_48
    | spl0_53 ),
    inference(sat_conversion,[],[f399]) ).

cnf(s42,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_51
    | spl0_54 ),
    inference(sat_conversion,[],[f404]) ).

cnf(s44,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_30
    | spl0_39 ),
    inference(sat_conversion,[],[f409]) ).

cnf(s46,plain,
    ( ~ spl0_3
    | spl0_29
    | spl0_40
    | spl0_43 ),
    inference(sat_conversion,[],[f414]) ).

cnf(s47,plain,
    ( ~ spl0_3
    | spl0_22
    | spl0_40
    | spl0_43 ),
    inference(sat_conversion,[],[f415]) ).

cnf(s48,plain,
    ( ~ spl0_3
    | spl0_23
    | spl0_31
    | spl0_42 ),
    inference(sat_conversion,[],[f416]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | spl0_30
    | spl0_31
    | spl0_57 ),
    inference(sat_conversion,[],[f420]) ).

cnf(s50,plain,
    ( ~ spl0_3
    | spl0_31
    | spl0_34
    | spl0_58 ),
    inference(sat_conversion,[],[f424]) ).

cnf(s51,plain,
    ( ~ spl0_3
    | spl0_26
    | spl0_31
    | spl0_45 ),
    inference(sat_conversion,[],[f425]) ).

cnf(s52,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_42
    | spl0_59 ),
    inference(sat_conversion,[],[f429]) ).

cnf(s53,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_23
    | spl0_60 ),
    inference(sat_conversion,[],[f433]) ).

cnf(s56,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_15
    | spl0_56 ),
    inference(sat_conversion,[],[f436]) ).

cnf(s57,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_51
    | spl0_54 ),
    inference(sat_conversion,[],[f437]) ).

cnf(s58,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_52
    | spl0_61 ),
    inference(sat_conversion,[],[f441]) ).

cnf(s59,plain,
    ( ~ spl0_3
    | spl0_32
    | spl0_35
    | spl0_60 ),
    inference(sat_conversion,[],[f442]) ).

cnf(s60,plain,
    ( ~ spl0_3
    | spl0_30
    | spl0_35
    | spl0_62 ),
    inference(sat_conversion,[],[f446]) ).

cnf(s63,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_55
    | spl0_62 ),
    inference(sat_conversion,[],[f449]) ).

cnf(s64,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_26
    | spl0_30 ),
    inference(sat_conversion,[],[f450]) ).

cnf(s66,plain,
    ( ~ spl0_3
    | spl0_30
    | spl0_47
    | spl0_48 ),
    inference(sat_conversion,[],[f452]) ).

cnf(s67,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_19
    | spl0_54 ),
    inference(sat_conversion,[],[f453]) ).

cnf(s70,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_58
    | spl0_62 ),
    inference(sat_conversion,[],[f456]) ).

cnf(s73,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_25
    | spl0_61 ),
    inference(sat_conversion,[],[f459]) ).

cnf(s76,plain,
    ( ~ spl0_59
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f469]) ).

cnf(s77,plain,
    ( ~ spl0_59
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s78,plain,
    ( ~ spl0_37
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f478]) ).

cnf(s80,plain,
    ( ~ spl0_43
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f488]) ).

cnf(s81,plain,
    ( ~ spl0_56
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f493]) ).

cnf(s82,plain,
    ( ~ spl0_56
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f497]) ).

cnf(s83,plain,
    ( ~ spl0_58
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f502]) ).

cnf(s84,plain,
    ( ~ spl0_62
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f507]) ).

cnf(s85,plain,
    ( ~ spl0_54
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f512]) ).

cnf(s86,plain,
    ( ~ spl0_54
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f516]) ).

cnf(s87,plain,
    ( ~ spl0_30
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f521]) ).

cnf(s88,plain,
    ( ~ spl0_32
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f526]) ).

cnf(s89,plain,
    ( ~ spl0_32
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f530]) ).

cnf(s90,plain,
    ( ~ spl0_32
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f534]) ).

cnf(s91,plain,
    ( ~ spl0_15
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f539]) ).

cnf(s92,plain,
    ( ~ spl0_42
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f544]) ).

cnf(s93,plain,
    ( ~ spl0_25
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f549]) ).

cnf(s94,plain,
    ( ~ spl0_61
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f554]) ).

cnf(s95,plain,
    ( ~ spl0_61
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f558]) ).

cnf(s96,plain,
    ( ~ spl0_61
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f562]) ).

cnf(s97,plain,
    ( ~ spl0_21
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f567]) ).

cnf(s98,plain,
    ( ~ spl0_21
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f571]) ).

cnf(s99,plain,
    ( ~ spl0_23
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f576]) ).

cnf(s100,plain,
    ( ~ spl0_28
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f581]) ).

cnf(s101,plain,
    ( ~ spl0_28
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s102,plain,
    ( ~ spl0_40
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f590]) ).

cnf(s103,plain,
    ( ~ spl0_40
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f594]) ).

cnf(s104,plain,
    ( ~ spl0_48
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f599]) ).

cnf(s105,plain,
    ( ~ spl0_48
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f603]) ).

cnf(s106,plain,
    ( ~ spl0_52
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f608]) ).

cnf(s107,plain,
    ( ~ spl0_52
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f612]) ).

cnf(s108,plain,
    ( ~ spl0_51
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f617]) ).

cnf(s109,plain,
    ( ~ spl0_51
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f621]) ).

cnf(s110,plain,
    ( ~ spl0_51
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f625]) ).

cnf(s111,plain,
    ( ~ spl0_57
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f630]) ).

cnf(s112,plain,
    ( ~ spl0_57
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f634]) ).

cnf(s113,plain,
    ( ~ spl0_55
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f639]) ).

cnf(s114,plain,
    ( ~ spl0_55
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s117,plain,
    ( ~ spl0_34
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f657]) ).

cnf(s118,plain,
    ( ~ spl0_60
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f662]) ).

cnf(s119,plain,
    ( ~ spl0_60
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f666]) ).

cnf(s120,plain,
    ( ~ spl0_59
    | spl0_108 ),
    inference(sat_conversion,[],[f670]) ).

cnf(s121,plain,
    ( ~ spl0_37
    | spl0_109 ),
    inference(sat_conversion,[],[f674]) ).

cnf(s122,plain,
    ( ~ spl0_37
    | spl0_110 ),
    inference(sat_conversion,[],[f678]) ).

cnf(s125,plain,
    ( ~ spl0_43
    | spl0_113 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s126,plain,
    ( ~ spl0_43
    | spl0_114 ),
    inference(sat_conversion,[],[f694]) ).

cnf(s127,plain,
    ( ~ spl0_56
    | spl0_115 ),
    inference(sat_conversion,[],[f698]) ).

cnf(s128,plain,
    ( ~ spl0_58
    | spl0_116 ),
    inference(sat_conversion,[],[f702]) ).

cnf(s129,plain,
    ( ~ spl0_58
    | spl0_117 ),
    inference(sat_conversion,[],[f706]) ).

cnf(s130,plain,
    ( ~ spl0_62
    | spl0_118 ),
    inference(sat_conversion,[],[f710]) ).

cnf(s131,plain,
    ( ~ spl0_62
    | spl0_119 ),
    inference(sat_conversion,[],[f714]) ).

cnf(s132,plain,
    ( ~ spl0_54
    | spl0_120 ),
    inference(sat_conversion,[],[f718]) ).

cnf(s133,plain,
    ( ~ spl0_30
    | spl0_121 ),
    inference(sat_conversion,[],[f722]) ).

cnf(s134,plain,
    ( ~ spl0_30
    | spl0_122 ),
    inference(sat_conversion,[],[f726]) ).

cnf(s135,plain,
    ( ~ spl0_15
    | spl0_123 ),
    inference(sat_conversion,[],[f730]) ).

cnf(s136,plain,
    ( ~ spl0_15
    | spl0_124 ),
    inference(sat_conversion,[],[f734]) ).

cnf(s137,plain,
    ( ~ spl0_42
    | spl0_125 ),
    inference(sat_conversion,[],[f738]) ).

cnf(s138,plain,
    ( ~ spl0_42
    | spl0_126 ),
    inference(sat_conversion,[],[f742]) ).

cnf(s139,plain,
    ( ~ spl0_25
    | spl0_127 ),
    inference(sat_conversion,[],[f746]) ).

cnf(s140,plain,
    ( ~ spl0_25
    | spl0_128 ),
    inference(sat_conversion,[],[f750]) ).

cnf(s141,plain,
    ( ~ spl0_21
    | spl0_129 ),
    inference(sat_conversion,[],[f754]) ).

cnf(s142,plain,
    ( ~ spl0_23
    | spl0_130 ),
    inference(sat_conversion,[],[f758]) ).

cnf(s143,plain,
    ( ~ spl0_23
    | spl0_131 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s144,plain,
    ( ~ spl0_28
    | spl0_132 ),
    inference(sat_conversion,[],[f766]) ).

cnf(s145,plain,
    ( ~ spl0_40
    | spl0_133 ),
    inference(sat_conversion,[],[f770]) ).

cnf(s146,plain,
    ( ~ spl0_48
    | spl0_134 ),
    inference(sat_conversion,[],[f774]) ).

cnf(s147,plain,
    ( ~ spl0_52
    | spl0_135 ),
    inference(sat_conversion,[],[f778]) ).

cnf(s148,plain,
    ( ~ spl0_57
    | spl0_136 ),
    inference(sat_conversion,[],[f782]) ).

cnf(s149,plain,
    ( ~ spl0_55
    | spl0_137 ),
    inference(sat_conversion,[],[f786]) ).

cnf(s151,plain,
    ( ~ spl0_34
    | spl0_139 ),
    inference(sat_conversion,[],[f794]) ).

cnf(s152,plain,
    ( ~ spl0_34
    | spl0_140 ),
    inference(sat_conversion,[],[f798]) ).

cnf(s153,plain,
    ( ~ spl0_60
    | spl0_141 ),
    inference(sat_conversion,[],[f802]) ).

cnf(s154,plain,
    ( ~ spl0_45
    | spl0_142 ),
    inference(sat_conversion,[],[f807]) ).

cnf(s155,plain,
    ( ~ spl0_45
    | spl0_143 ),
    inference(sat_conversion,[],[f811]) ).

cnf(s156,plain,
    ( ~ spl0_45
    | spl0_144 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s157,plain,
    ( ~ spl0_39
    | spl0_145 ),
    inference(sat_conversion,[],[f820]) ).

cnf(s158,plain,
    ( ~ spl0_39
    | spl0_146 ),
    inference(sat_conversion,[],[f824]) ).

cnf(s159,plain,
    ( ~ spl0_39
    | spl0_147 ),
    inference(sat_conversion,[],[f828]) ).

cnf(s160,plain,
    ( ~ spl0_26
    | spl0_148 ),
    inference(sat_conversion,[],[f833]) ).

cnf(s161,plain,
    ( ~ spl0_26
    | spl0_149 ),
    inference(sat_conversion,[],[f837]) ).

cnf(s162,plain,
    ( ~ spl0_26
    | spl0_150 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s163,plain,
    ( ~ spl0_53
    | spl0_151 ),
    inference(sat_conversion,[],[f846]) ).

cnf(s164,plain,
    ( ~ spl0_53
    | spl0_152 ),
    inference(sat_conversion,[],[f850]) ).

cnf(s165,plain,
    ( ~ spl0_53
    | spl0_153 ),
    inference(sat_conversion,[],[f854]) ).

cnf(s167,plain,
    ( spl0_40
    | spl0_53
    | spl0_54 ),
    inference(sat_conversion,[],[f856]) ).

cnf(s169,plain,
    ( spl0_25
    | spl0_30
    | spl0_45 ),
    inference(sat_conversion,[],[f858]) ).

cnf(s181,plain,
    ( spl0_3
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f871]) ).

cnf(s196,plain,
    ( spl0_3
    | ~ spl0_45 ),
    inference(sat_conversion,[],[f886]) ).

cnf(s200,plain,
    ( spl0_42
    | spl0_45 ),
    inference(sat_conversion,[],[f890]) ).

cnf(s212,plain,
    ( ~ spl0_5
    | spl0_7
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f963]) ).

cnf(s218,plain,
    ( ~ spl0_8
    | ~ spl0_143
    | ~ spl0_144
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f977]) ).

cnf(s220,plain,
    ( ~ spl0_7
    | spl0_72
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f991]) ).

cnf(s223,plain,
    ( ~ spl0_11
    | ~ spl0_142
    | ~ spl0_144
    | spl0_159 ),
    inference(sat_conversion,[],[f1011]) ).

cnf(s227,plain,
    ( ~ spl0_6
    | spl0_94
    | spl0_95
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1029]) ).

cnf(s229,plain,
    ( ~ spl0_13
    | spl0_65
    | ~ spl0_108
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1050]) ).

cnf(s231,plain,
    ( ~ spl0_13
    | ~ spl0_121
    | ~ spl0_122
    | spl0_154 ),
    inference(sat_conversion,[],[f1054]) ).

cnf(s233,plain,
    ( ~ spl0_14
    | spl0_97
    | spl0_98
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1070]) ).

cnf(s234,plain,
    ( ~ spl0_14
    | spl0_69
    | spl0_70
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f1073]) ).

cnf(s236,plain,
    ( ~ spl0_14
    | spl0_90
    | spl0_91
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1080]) ).

cnf(s239,plain,
    ( ~ spl0_18
    | spl0_83
    | spl0_84
    | spl0_166 ),
    inference(sat_conversion,[],[f1115]) ).

cnf(s240,plain,
    ( ~ spl0_18
    | spl0_96
    | spl0_98
    | spl0_162 ),
    inference(sat_conversion,[],[f1118]) ).

cnf(s242,plain,
    ( ~ spl0_8
    | ~ spl0_14
    | spl0_31 ),
    inference(sat_conversion,[],[f1132]) ).

cnf(s243,plain,
    ( ~ spl0_19
    | spl0_64
    | spl0_65
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f1148]) ).

cnf(s247,plain,
    ( ~ spl0_19
    | spl0_102
    | ~ spl0_137
    | spl0_167 ),
    inference(sat_conversion,[],[f1156]) ).

cnf(s251,plain,
    ( ~ spl0_24
    | spl0_91
    | ~ spl0_133
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1185]) ).

cnf(s256,plain,
    ( ~ spl0_29
    | ~ spl0_143
    | ~ spl0_144
    | spl0_159 ),
    inference(sat_conversion,[],[f1235]) ).

cnf(s263,plain,
    ( ~ spl0_16
    | ~ spl0_142
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1299]) ).

cnf(s270,plain,
    ( spl0_4
    | ~ spl0_16
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f1306]) ).

cnf(s271,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_126
    | spl0_155 ),
    inference(sat_conversion,[],[f1308]) ).

cnf(s274,plain,
    ( ~ spl0_17
    | ~ spl0_148
    | ~ spl0_149
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1324]) ).

cnf(s281,plain,
    ( ~ spl0_1
    | spl0_90
    | spl0_91
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1345]) ).

cnf(s285,plain,
    ( ~ spl0_5
    | spl0_102
    | ~ spl0_137
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1349]) ).

cnf(s286,plain,
    ( ~ spl0_5
    | ~ spl0_18
    | spl0_47 ),
    inference(sat_conversion,[],[f1350]) ).

cnf(s287,plain,
    ( ~ spl0_5
    | spl0_87
    | ~ spl0_131
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1352]) ).

cnf(s288,plain,
    ( ~ spl0_18
    | ~ spl0_27
    | spl0_47 ),
    inference(sat_conversion,[],[f1353]) ).

cnf(s289,plain,
    ( ~ spl0_14
    | spl0_79
    | ~ spl0_124
    | spl0_171 ),
    inference(sat_conversion,[],[f1360]) ).

cnf(s297,plain,
    ( ~ spl0_2
    | spl0_89
    | ~ spl0_132
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1390]) ).

cnf(s317,plain,
    ( ~ spl0_38
    | spl0_90
    | ~ spl0_133
    | spl0_164 ),
    inference(sat_conversion,[],[f1489]) ).

cnf(s318,plain,
    ( ~ spl0_38
    | spl0_92
    | spl0_93
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1492]) ).

cnf(s326,plain,
    ( ~ spl0_11
    | spl0_81
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1516]) ).

cnf(s327,plain,
    ( ~ spl0_11
    | spl0_85
    | ~ spl0_129
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1517]) ).

cnf(s329,plain,
    ( ~ spl0_12
    | spl0_88
    | spl0_89
    | spl0_169 ),
    inference(sat_conversion,[],[f1521]) ).

cnf(s333,plain,
    ( ~ spl0_11
    | spl0_106
    | ~ spl0_141
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1530]) ).

cnf(s345,plain,
    ( ~ spl0_22
    | spl0_75
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f1561]) ).

cnf(s353,plain,
    ( ~ spl0_6
    | spl0_80
    | ~ spl0_126
    | spl0_155 ),
    inference(sat_conversion,[],[f1568]) ).

cnf(s354,plain,
    ( ~ spl0_6
    | ~ spl0_27
    | spl0_47 ),
    inference(sat_conversion,[],[f1569]) ).

cnf(s355,plain,
    ( ~ spl0_6
    | spl0_7
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f1570]) ).

cnf(s357,plain,
    ( ~ spl0_5
    | spl0_7
    | ~ spl0_33 ),
    inference(sat_conversion,[],[f1573]) ).

cnf(s360,plain,
    ( ~ spl0_33
    | spl0_80
    | ~ spl0_125
    | spl0_155 ),
    inference(sat_conversion,[],[f1576]) ).

cnf(s365,plain,
    ( ~ spl0_22
    | ~ spl0_130
    | ~ spl0_131
    | spl0_168 ),
    inference(sat_conversion,[],[f1581]) ).

cnf(s366,plain,
    ( ~ spl0_22
    | spl0_71
    | ~ spl0_116
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1582]) ).

cnf(s367,plain,
    ( ~ spl0_24
    | spl0_80
    | ~ spl0_125
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1583]) ).

cnf(s371,plain,
    ( ~ spl0_35
    | spl0_101
    | ~ spl0_137
    | spl0_167 ),
    inference(sat_conversion,[],[f1587]) ).

cnf(s380,plain,
    ( ~ spl0_10
    | spl0_80
    | ~ spl0_125
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f1596]) ).

cnf(s384,plain,
    ( ~ spl0_6
    | spl0_7
    | ~ spl0_13 ),
    inference(sat_conversion,[],[f1599]) ).

cnf(s390,plain,
    ( ~ spl0_6
    | spl0_77
    | spl0_78
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1605]) ).

cnf(s405,plain,
    ( ~ spl0_7
    | ~ spl0_125
    | ~ spl0_126
    | spl0_155 ),
    inference(sat_conversion,[],[f1625]) ).

cnf(s408,plain,
    ( ~ spl0_20
    | spl0_85
    | ~ spl0_129
    | spl0_160 ),
    inference(sat_conversion,[],[f1629]) ).

cnf(s409,plain,
    ( ~ spl0_14
    | spl0_86
    | ~ spl0_129
    | spl0_160 ),
    inference(sat_conversion,[],[f1631]) ).

cnf(s410,plain,
    ( ~ spl0_20
    | spl0_99
    | spl0_100
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f1635]) ).

cnf(s411,plain,
    ( ~ spl0_5
    | spl0_66
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f1640]) ).

cnf(s414,plain,
    ( ~ spl0_5
    | ~ spl0_149
    | ~ spl0_150
    | spl0_170 ),
    inference(sat_conversion,[],[f1654]) ).

cnf(s416,plain,
    ( ~ spl0_1
    | spl0_82
    | spl0_83
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1666]) ).

cnf(s419,plain,
    ( ~ spl0_7
    | spl0_87
    | ~ spl0_130
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1692]) ).

cnf(s421,plain,
    ( ~ spl0_7
    | ~ spl0_148
    | ~ spl0_149
    | spl0_170 ),
    inference(sat_conversion,[],[f1694]) ).

cnf(s427,plain,
    ( ~ spl0_13
    | spl0_87
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f1723]) ).

cnf(s428,plain,
    ( ~ spl0_13
    | ~ spl0_148
    | ~ spl0_150
    | spl0_170 ),
    inference(sat_conversion,[],[f1724]) ).

cnf(s429,plain,
    ( ~ spl0_1
    | ~ spl0_13
    | spl0_38 ),
    inference(sat_conversion,[],[f1725]) ).

cnf(s435,plain,
    ( ~ spl0_33
    | spl0_83
    | spl0_84
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1752]) ).

cnf(s436,plain,
    ( ~ spl0_35
    | spl0_71
    | ~ spl0_116
    | spl0_158 ),
    inference(sat_conversion,[],[f1765]) ).

cnf(s437,plain,
    ( ~ spl0_41
    | spl0_68
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f1778]) ).

cnf(s439,plain,
    ( ~ spl0_41
    | spl0_80
    | ~ spl0_126
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1780]) ).

cnf(s441,plain,
    ( spl0_11
    | ~ spl0_29
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f1782]) ).

cnf(s442,plain,
    ( ~ spl0_19
    | spl0_87
    | ~ spl0_131
    | spl0_168 ),
    inference(sat_conversion,[],[f1797]) ).

cnf(s443,plain,
    ( ~ spl0_1
    | ~ spl0_19
    | spl0_38 ),
    inference(sat_conversion,[],[f1798]) ).

cnf(s452,plain,
    ( ~ spl0_38
    | spl0_87
    | ~ spl0_130
    | spl0_168 ),
    inference(sat_conversion,[],[f1806]) ).

cnf(s453,plain,
    ( ~ spl0_38
    | spl0_75
    | ~ spl0_121
    | spl0_154 ),
    inference(sat_conversion,[],[f1807]) ).

cnf(s456,plain,
    ( ~ spl0_19
    | spl0_75
    | ~ spl0_122
    | spl0_154 ),
    inference(sat_conversion,[],[f1810]) ).

cnf(s466,plain,
    ( ~ spl0_6
    | spl0_107
    | ~ spl0_141
    | spl0_173 ),
    inference(sat_conversion,[],[f1825]) ).

cnf(s468,plain,
    ( ~ spl0_8
    | ~ spl0_145
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1838]) ).

cnf(s492,plain,
    ( ~ spl0_35
    | spl0_64
    | ~ spl0_108
    | spl0_163 ),
    inference(sat_conversion,[],[f1872]) ).

cnf(s494,plain,
    ( ~ spl0_8
    | ~ spl0_121
    | ~ spl0_122
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1878]) ).

cnf(s496,plain,
    ( ~ spl0_29
    | spl0_105
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1885]) ).

cnf(s501,plain,
    ( ~ spl0_31
    | spl0_75
    | ~ spl0_121
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1890]) ).

cnf(s507,plain,
    ( ~ spl0_8
    | ~ spl0_148
    | ~ spl0_150
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1900]) ).

cnf(s508,plain,
    ( ~ spl0_2
    | spl0_71
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f1907]) ).

cnf(s509,plain,
    ( ~ spl0_2
    | spl0_75
    | ~ spl0_122
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1908]) ).

cnf(s511,plain,
    ( ~ spl0_4
    | ~ spl0_123
    | ~ spl0_124
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1921]) ).

cnf(s512,plain,
    ( ~ spl0_4
    | ~ spl0_125
    | ~ spl0_126
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1922]) ).

cnf(s513,plain,
    ( ~ spl0_4
    | ~ spl0_145
    | ~ spl0_147
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f1923]) ).

cnf(s514,plain,
    ( ~ spl0_4
    | ~ spl0_148
    | ~ spl0_149
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1924]) ).

cnf(s515,plain,
    ( ~ spl0_4
    | ~ spl0_151
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1926]) ).

cnf(s516,plain,
    ( ~ spl0_12
    | spl0_76
    | spl0_78
    | spl0_156 ),
    inference(sat_conversion,[],[f1937]) ).

cnf(s517,plain,
    ( ~ spl0_12
    | spl0_82
    | spl0_84
    | spl0_166 ),
    inference(sat_conversion,[],[f1938]) ).

cnf(s518,plain,
    ( ~ spl0_12
    | spl0_96
    | spl0_97
    | spl0_162 ),
    inference(sat_conversion,[],[f1939]) ).

cnf(s525,plain,
    ( ~ spl0_31
    | ~ spl0_123
    | ~ spl0_124
    | spl0_171 ),
    inference(sat_conversion,[],[f1970]) ).

cnf(s527,plain,
    ( ~ spl0_31
    | ~ spl0_145
    | ~ spl0_147
    | spl0_174 ),
    inference(sat_conversion,[],[f1972]) ).

cnf(s530,plain,
    ( ~ spl0_44
    | spl0_85
    | spl0_86
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f2004]) ).

cnf(s536,plain,
    ( ~ spl0_47
    | spl0_76
    | spl0_78
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f2046]) ).

cnf(s538,plain,
    ( ~ spl0_47
    | spl0_73
    | spl0_74
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f2050]) ).

cnf(s540,plain,
    ( ~ spl0_47
    | spl0_106
    | ~ spl0_141
    | spl0_173 ),
    inference(sat_conversion,[],[f2052]) ).

cnf(s546,plain,
    ( spl0_11
    | ~ spl0_29
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f2083]) ).

cnf(s549,plain,
    spl0_3,
    inference(rat,[],[s200,s181,s196]) ).

cnf(s550,plain,
    ( ~ spl0_25
    | ~ spl0_11 ),
    inference(rat,[],[s326,s93,s139,s140]) ).

cnf(s551,plain,
    ( ~ spl0_39
    | ~ spl0_8 ),
    inference(rat,[],[s468,s157,s158,s159]) ).

cnf(s553,plain,
    ( ~ spl0_45
    | ~ spl0_16 ),
    inference(rat,[],[s263,s154,s155,s156]) ).

cnf(s554,plain,
    ( ~ spl0_30
    | ~ spl0_38
    | ~ spl0_8 ),
    inference(rat,[],[s453,s494,s87,s133,s134]) ).

cnf(s555,plain,
    ( ~ spl0_8
    | spl0_5
    | spl0_2 ),
    inference(rat,[],[s553,s169,s11,s550,s44,s554,s23,s551,s549]) ).

cnf(s556,plain,
    ( ~ spl0_42
    | ~ spl0_7
    | ~ spl0_4 ),
    inference(rat,[],[s405,s512,s137,s138]) ).

cnf(s557,plain,
    ( ~ spl0_38
    | ~ spl0_30
    | spl0_42
    | ~ spl0_7 ),
    inference(rat,[],[s419,s452,s99,s142,s48,s501,s453,s133,s87,s549]) ).

cnf(s558,plain,
    ( ~ spl0_26
    | ~ spl0_7
    | ~ spl0_4 ),
    inference(rat,[],[s421,s514,s160,s161]) ).

cnf(s559,plain,
    ( ~ spl0_7
    | spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s410,s111,s112,s148,s49,s527,s513,s157,s159,s18,s44,s557,s22,s558,s550,s11,s553,s200,s556,s549]) ).

cnf(s560,plain,
    ( ~ spl0_53
    | ~ spl0_4 ),
    inference(rat,[],[s515,s163,s164,s165]) ).

cnf(s561,plain,
    ( ~ spl0_48
    | ~ spl0_38 ),
    inference(rat,[],[s318,s104,s105,s146]) ).

cnf(s562,plain,
    ( ~ spl0_54
    | ~ spl0_47 ),
    inference(rat,[],[s538,s85,s86,s132]) ).

cnf(s563,plain,
    ( ~ spl0_52
    | ~ spl0_6 ),
    inference(rat,[],[s227,s106,s107,s147]) ).

cnf(s565,plain,
    ( spl0_16
    | spl0_82
    | spl0_83
    | spl0_84
    | spl0_13
    | spl0_17
    | ~ spl0_6
    | ~ spl0_4 ),
    inference(rat,[],[s516,s390,s88,s89,s90,s16,s435,s517,s6,s289,s511,s91,s135,s136,s7,s549]) ).

cnf(s566,plain,
    ( spl0_82
    | spl0_83
    | ~ spl0_4
    | spl0_84
    | spl0_13
    | spl0_17
    | ~ spl0_6 ),
    inference(rat,[],[s353,s512,s92,s137,s138,s200,s553,s565]) ).

cnf(s567,plain,
    ( spl0_5
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s566,s94,s95,s96,s58,s563,s384,s355,s3,s559,s555,s549]) ).

cnf(s568,plain,
    ( ~ spl0_38
    | spl0_8
    | ~ spl0_6
    | ~ spl0_5
    | spl0_53 ),
    inference(rat,[],[s287,s452,s99,s142,s143,s10,s251,s317,s102,s103,s145,s167,s562,s354,s40,s561,s549]) ).

cnf(s569,plain,
    ( ~ spl0_32
    | ~ spl0_12
    | ~ spl0_6 ),
    inference(rat,[],[s516,s390,s88,s89,s90]) ).

cnf(s570,plain,
    ( ~ spl0_42
    | ~ spl0_6
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s271,s512,s137,s138]) ).

cnf(s571,plain,
    ( spl0_7
    | spl0_16
    | ~ spl0_6
    | ~ spl0_5 ),
    inference(rat,[],[s569,s5,s16,s212,s357,s549]) ).

cnf(s575,plain,
    ( ~ spl0_60
    | ~ spl0_11
    | ~ spl0_6 ),
    inference(rat,[],[s333,s466,s118,s119,s153]) ).

cnf(s576,plain,
    ( ~ spl0_34
    | ~ spl0_29 ),
    inference(rat,[],[s496,s117,s151,s152]) ).

cnf(s577,plain,
    ( ~ spl0_37
    | ~ spl0_5 ),
    inference(rat,[],[s411,s78,s121,s122]) ).

cnf(s578,plain,
    ( ~ spl0_55
    | ~ spl0_35
    | ~ spl0_5 ),
    inference(rat,[],[s371,s285,s113,s114,s149]) ).

cnf(s579,plain,
    ( ~ spl0_62
    | ~ spl0_7 ),
    inference(rat,[],[s220,s84,s130,s131]) ).

cnf(s580,plain,
    ( spl0_8
    | spl0_62
    | spl0_26
    | ~ spl0_6
    | ~ spl0_5
    | spl0_53
    | spl0_2 ),
    inference(rat,[],[s569,s6,s59,s427,s578,s99,s142,s143,s63,s53,s409,s575,s327,s22,s97,s98,s141,s568,s39,s549]) ).

cnf(s581,plain,
    ( ~ spl0_6
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s44,s554,s223,s23,s218,s551,s580,s579,s558,s571,s553,s154,s155,s156,s200,s570,s560,s567,s549]) ).

cnf(s582,plain,
    ( ~ spl0_60
    | ~ spl0_47
    | ~ spl0_11 ),
    inference(rat,[],[s333,s540,s118,s153]) ).

cnf(s583,plain,
    ( spl0_38
    | ~ spl0_21
    | ~ spl0_7
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s516,s536,s88,s90,s59,s582,s6,s427,s99,s142,s143,s286,s578,s48,s8,s63,s527,s408,s409,s513,s327,s157,s159,s22,s23,s567,s558,s579,s243,s76,s77,s120,s52,s556,s141,s98,s97,s549]) ).

cnf(s584,plain,
    ( ~ spl0_21
    | ~ spl0_7
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s236,s64,s317,s557,s583,s102,s103,s145,s24,s437,s80,s125,s126,s27,s530,s97,s98,s141,s558,s243,s76,s77,s120,s52,s556,s1,s549]) ).

cnf(s585,plain,
    ( ~ spl0_7
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s44,s554,s223,s23,s218,s551,s39,s584,s154,s155,s156,s200,s556,s560,s1,s549]) ).

cnf(s586,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s287,s452,s99,s142,s143,s53,s582,s44,s66,s561,s554,s23,s551,s3,s585,s581,s567,s1,s549]) ).

cnf(s587,plain,
    ( spl0_8
    | ~ spl0_6
    | spl0_62
    | spl0_26
    | ~ spl0_5
    | spl0_53
    | ~ spl0_2 ),
    inference(rat,[],[s6,s569,s231,s59,s509,s578,s87,s133,s134,s63,s64,s409,s575,s327,s22,s97,s98,s141,s568,s39,s549]) ).

cnf(s588,plain,
    ( ~ spl0_8
    | ~ spl0_142
    | ~ spl0_143
    | ~ spl0_144
    | spl0_26 ),
    inference(rat,[],[s554,s44,s22,s223,s218,s551,s549]) ).

cnf(s589,plain,
    ( ~ spl0_58
    | ~ spl0_2 ),
    inference(rat,[],[s508,s83,s128,s129]) ).

cnf(s590,plain,
    ( ~ spl0_7
    | ~ spl0_5
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s588,s587,s154,s155,s156,s70,s200,s579,s558,s556,s589,s560,s549]) ).

cnf(s591,plain,
    ( ~ spl0_6
    | spl0_7
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s553,s200,s571,s570]) ).

cnf(s592,plain,
    ( ~ spl0_45
    | spl0_26
    | ~ spl0_8 ),
    inference(rat,[],[s588,s154,s155,s156]) ).

cnf(s593,plain,
    ( spl0_26
    | spl0_25
    | ~ spl0_8
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s525,s511,s135,s136,s67,s562,s286,s32,s231,s456,s501,s87,s133,s134,s51,s169,s592,s577,s549]) ).

cnf(s594,plain,
    ( ~ spl0_26
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s514,s414,s160,s161,s162]) ).

cnf(s595,plain,
    ( spl0_7
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s554,s44,s22,s550,s593,s594,s551,s3,s591,s549]) ).

cnf(s596,plain,
    ( ~ spl0_5
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s595,s590]) ).

cnf(s597,plain,
    ( ~ spl0_6
    | spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s566,s94,s95,s96,s58,s384,s355,s563,s559,s549]) ).

cnf(s598,plain,
    ( ~ spl0_15
    | ~ spl0_31
    | ~ spl0_4 ),
    inference(rat,[],[s525,s511,s135,s136]) ).

cnf(s599,plain,
    ( spl0_26
    | spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s327,s408,s97,s141,s8,s29,s288,s234,s562,s81,s82,s127,s67,s56,s598,s456,s22,s494,s554,s87,s133,s134,s26,s12,s360,s380,s512,s92,s137,s138,s51,s200,s592,s3,s597,s559,s549]) ).

cnf(s600,plain,
    ( ~ spl0_28
    | ~ spl0_12
    | ~ spl0_2 ),
    inference(rat,[],[s329,s297,s100,s101,s144]) ).

cnf(s601,plain,
    ( ~ spl0_11
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s408,s327,s97,s141,s29,s234,s562,s81,s82,s127,s67,s56,s598,s50,s576,s21,s14,s600,s456,s5,s494,s380,s87,s133,s134,s92,s137,s138,s169,s200,s553,s11,s550,s589,s3,s597,s559,s428,s514,s161,s162,s160,s599,s596,s549]) ).

cnf(s602,plain,
    ( ~ spl0_45
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s6,s600,s242,s14,s598,s256,s7,s218,s553,s155,s156,s3,s597,s559,s274,s428,s514,s161,s162,s160,s599,s596,s549]) ).

cnf(s603,plain,
    ( ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s546,s14,s31,s600,s5,s380,s92,s137,s138,s200,s602,s456,s494,s87,s133,s134,s44,s601,s428,s514,s160,s161,s162,s599,s551,s3,s597,s559,s596,s549]) ).

cnf(s604,plain,
    ( ~ spl0_12
    | spl0_60
    | ~ spl0_51
    | ~ spl0_6
    | spl0_62
    | ~ spl0_5 ),
    inference(rat,[],[s63,s578,s233,s59,s518,s569,s110,s109,s108,s549]) ).

cnf(s605,plain,
    ( spl0_12
    | spl0_8
    | ~ spl0_6
    | spl0_1 ),
    inference(rat,[],[s233,s240,s6,s32,s427,s99,s142,s143,s10,s367,s271,s92,s137,s138,s25,s577,s2,s603,s586,s110,s109,s108,s38,s563,s549]) ).

cnf(s606,plain,
    ( spl0_8
    | spl0_62
    | spl0_1 ),
    inference(rat,[],[s20,s575,s233,s604,s518,s605,s108,s109,s110,s38,s577,s2,s603,s563,s70,s589,s586,s549]) ).

cnf(s607,plain,
    ( ~ spl0_45
    | ~ spl0_11
    | ~ spl0_8 ),
    inference(rat,[],[s218,s223,s154,s155,s156]) ).

cnf(s608,plain,
    ( ~ spl0_11
    | spl0_62
    | spl0_1 ),
    inference(rat,[],[s604,s6,s57,s409,s562,s327,s286,s97,s98,s141,s32,s9,s231,s345,s494,s87,s133,s134,s169,s607,s575,s550,s577,s2,s603,s70,s589,s586,s606,s549]) ).

cnf(s609,plain,
    ( spl0_62
    | spl0_1 ),
    inference(rat,[],[s507,s414,s160,s161,s162,s22,s554,s44,s608,s551,s606,s2,s603,s586,s549]) ).

cnf(s610,plain,
    ( spl0_8
    | spl0_1 ),
    inference(rat,[],[s408,s327,s97,s141,s9,s365,s20,s287,s233,s99,s142,s143,s518,s10,s108,s109,s110,s270,s38,s571,s563,s3,s577,s21,s600,s5,s212,s2,s603,s586,s579,s609,s549]) ).

cnf(s611,plain,
    ( ~ spl0_11
    | spl0_1 ),
    inference(rat,[],[s408,s327,s97,s141,s9,s345,s87,s133,s134,s169,s607,s550,s21,s600,s5,s212,s2,s603,s586,s579,s609,s610,s549]) ).

cnf(s612,plain,
    ( spl0_4
    | spl0_1 ),
    inference(rat,[],[s507,s414,s160,s161,s162,s22,s554,s44,s611,s551,s610,s2,s549]) ).

cnf(s613,plain,
    spl0_1,
    inference(rat,[],[s612,s603,s586]) ).

cnf(s614,plain,
    ~ spl0_4,
    inference(rat,[],[s15,s598,s229,s67,s492,s562,s60,s66,s561,s557,s583,s243,s39,s76,s77,s120,s592,s52,s200,s579,s556,s595,s594,s567,s603,s560,s549]) ).

cnf(s615,plain,
    ( spl0_12
    | spl0_25
    | ~ spl0_7
    | spl0_37
    | spl0_8 ),
    inference(rat,[],[s427,s99,s142,s143,s32,s10,s239,s367,s416,s405,s94,s95,s96,s92,s137,s138,s73,s25,s549,s613,s614]) ).

cnf(s616,plain,
    ( ~ spl0_6
    | ~ spl0_12
    | ~ spl0_11
    | spl0_62
    | ~ spl0_5
    | spl0_8 ),
    inference(rat,[],[s604,s38,s575,s563,s549]) ).

cnf(s617,plain,
    ( ~ spl0_21
    | ~ spl0_12
    | ~ spl0_11
    | spl0_62
    | ~ spl0_5 ),
    inference(rat,[],[s516,s536,s88,s90,s59,s582,s286,s8,s247,s285,s578,s114,s149,s63,s408,s409,s327,s97,s98,s141,s549]) ).

cnf(s618,plain,
    ( ~ spl0_12
    | ~ spl0_11
    | spl0_8
    | spl0_62
    | ~ spl0_5 ),
    inference(rat,[],[s345,s87,s133,s134,s60,s436,s366,s9,s617,s83,s128,s70,s616,s614,s549]) ).

cnf(s619,plain,
    ( ~ spl0_11
    | ~ spl0_7
    | ~ spl0_5
    | spl0_8 ),
    inference(rat,[],[s618,s615,s550,s577,s579]) ).

cnf(s620,plain,
    ( ~ spl0_51
    | ~ spl0_14
    | ~ spl0_7
    | spl0_37
    | spl0_8 ),
    inference(rat,[],[s427,s99,s142,s143,s10,s367,s405,s92,s137,s138,s32,s25,s240,s518,s233,s108,s109,s110,s549,s614]) ).

cnf(s621,plain,
    ( ~ spl0_7
    | ~ spl0_5
    | spl0_8 ),
    inference(rat,[],[s427,s99,s142,s143,s10,s367,s405,s92,s137,s138,s557,s66,s561,s429,s32,s286,s562,s42,s620,s20,s619,s577,s549,s613]) ).

cnf(s622,plain,
    ~ spl0_40,
    inference(rat,[],[s281,s102,s103,s145,s613]) ).

cnf(s623,plain,
    ( ~ spl0_5
    | spl0_8 ),
    inference(rat,[],[s24,s439,s442,s271,s287,s92,s138,s99,s143,s200,s10,s553,s270,s571,s3,s621,s614,s622,s549]) ).

cnf(s624,plain,
    ( ~ spl0_16
    | ~ spl0_7
    | spl0_8 ),
    inference(rat,[],[s24,s439,s442,s405,s419,s92,s137,s138,s99,s142,s143,s200,s10,s553,s270,s549,s622,s614]) ).

cnf(s625,plain,
    ( ~ spl0_42
    | ~ spl0_7
    | spl0_8 ),
    inference(rat,[],[s419,s452,s99,s142,s443,s10,s24,s367,s439,s405,s92,s137,s138,s613,s549,s622]) ).

cnf(s626,plain,
    ( ~ spl0_6
    | ~ spl0_12
    | spl0_16
    | spl0_5 ),
    inference(rat,[],[s517,s435,s94,s95,s96,s16,s58,s569,s563,s549]) ).

cnf(s627,plain,
    ( ~ spl0_41
    | spl0_11 ),
    inference(rat,[],[s437,s80,s125,s126,s46,s441,s549,s622]) ).

cnf(s628,plain,
    ( ~ spl0_7
    | spl0_8 ),
    inference(rat,[],[s627,s24,s243,s76,s77,s120,s52,s589,s70,s626,s25,s625,s550,s11,s624,s579,s623,s549,s622,s614]) ).

cnf(s629,plain,
    spl0_8,
    inference(rat,[],[s380,s92,s137,s138,s5,s25,s517,s416,s94,s95,s96,s58,s563,s3,s628,s623,s549,s614,s613]) ).

cnf(s630,plain,
    ~ spl0_39,
    inference(rat,[],[s551,s629]) ).

cnf(s632,plain,
    spl0_11,
    inference(rat,[],[s443,s554,s24,s44,s627,s613,s629,s549,s622,s630]) ).

cnf(s633,plain,
    ~ spl0_25,
    inference(rat,[],[s550,s632]) ).

cnf(s634,plain,
    ~ spl0_45,
    inference(rat,[],[s607,s629,s632]) ).

cnf(s638,plain,
    spl0_30,
    inference(rat,[],[s169,s633,s634]) ).

cnf(s645,plain,
    spl0_122,
    inference(rat,[],[s134,s638]) ).

cnf(s646,plain,
    spl0_121,
    inference(rat,[],[s133,s638]) ).

cnf(s647,plain,
    ~ spl0_75,
    inference(rat,[],[s87,s638]) ).

cnf(s648,plain,
    ~ spl0_38,
    inference(rat,[],[s554,s629,s638]) ).

cnf(s651,plain,
    ~ spl0_22,
    inference(rat,[],[s345,s645,s647,s646]) ).

cnf(s652,plain,
    ~ spl0_19,
    inference(rat,[],[s443,s613,s648]) ).

cnf(s657,plain,
    spl0_43,
    inference(rat,[],[s47,s622,s549,s651]) ).

cnf(s658,plain,
    spl0_41,
    inference(rat,[],[s24,s622,s549,s652]) ).

cnf(s664,plain,
    spl0_114,
    inference(rat,[],[s126,s657]) ).

cnf(s665,plain,
    spl0_113,
    inference(rat,[],[s125,s657]) ).

cnf(s666,plain,
    ~ spl0_68,
    inference(rat,[],[s80,s657]) ).

cnf(s674,plain,
    $false,
    inference(rat,[],[s437,s664,s658,s665,s666]) ).

fof(f2086,plain,
    $false,
    inference(avatar_sat_refutation,[],[s674]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN507-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18  % Computer : n005.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 16:20:01 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21  Running first-order theorem proving
% 0.08/0.21  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
% 3.05/1.11  % (909444)Input is clausal, will run a generic CNF schedule.
% 3.05/1.11  % (909450)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4131361844:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.05/1.11  % (909454)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3458889613:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.05/1.11  % (909451)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1898950053:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.05/1.11  % (909452)lrs+10_1_sil=8000:sp=occurrence:random_seed=937807074:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.05/1.11  % (909453)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3212482324:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.05/1.11  % (909449)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=2055074470:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.05/1.11  % (909455)dis-21_1_sil=8000:lcm=predicate:random_seed=641994671: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)
% 3.05/1.11  % (909455)First to succeed.
% 3.05/1.11  % (909455)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-909444"
% 3.05/1.11  % (909453)Also succeeded, but the first one will report.
% 3.05/1.11  % (909454)Also succeeded, but the first one will report.
% 3.05/1.11  % (909452)Also succeeded, but the first one will report.
% 3.05/1.11  % (909455)Refutation found. Thanks to Tanya!
% 3.05/1.11  % SZS status Unsatisfiable for theBenchmark
% 3.05/1.11  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.30  % (909455)------------------------------
% 0.18/1.30  % (909455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.30  % (909455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.30  % (909455)CaDiCaL version: 2.1.3
% 0.18/1.30  % (909455)Termination reason: Refutation
% 0.18/1.30  % (909455)Time elapsed: 0.033 s
% 0.18/1.30  % (909455)Peak memory usage: 90 MB
% 0.18/1.30  % (909455)Instructions burned: 51 (million)
% 0.18/1.30  % (909455)------------------------------
% 0.18/1.30  % (909455)------------------------------
% 0.18/1.30  % (909444)Success in time 0.456 s
% 0.18/1.31  % Vampire exiting
%------------------------------------------------------------------------------