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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN471-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:10:52 PM UTC 2026

% Result   : Unsatisfiable 0.22s 0.36s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   37
%            Number of leaves      :  299
% Syntax   : Number of formulae    : 1098 (  30 unt; 161 def)
%            Number of atoms       : 3508 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 4127 (1717   ~;2249   |;   0   &)
%                                         ( 161 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  197 ( 196 usr; 193 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  228 (   0 sgn 228   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( hskp9
    | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f2,negated_conjecture,
    ( ~ hskp31
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f9,negated_conjecture,
    ( ~ hskp24
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).

fof(f32,negated_conjecture,
    ( ~ hskp1
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f34,negated_conjecture,
    ( hskp30
    | hskp3
    | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f36,negated_conjecture,
    ( hskp1
    | hskp31
    | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f37,negated_conjecture,
    ( hskp1
    | hskp21
    | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( hskp10
    | hskp28
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ( hskp10
    | hskp9
    | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ( hskp10
    | hskp12
    | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f42,negated_conjecture,
    ( ~ hskp31
    | c0_1(a672) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( ~ hskp31
    | c2_1(a672) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp31
    | c3_1(a672) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp30
    | c0_1(a637) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp30
    | c1_1(a637) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp30
    | c2_1(a637) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp29
    | c0_1(a618) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp29
    | c1_1(a618) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( ~ hskp29
    | c3_1(a618) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp28
    | c1_1(a595) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp28
    | c2_1(a595) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( ~ hskp28
    | c3_1(a595) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( ~ hskp25
    | c1_1(a656) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f55,negated_conjecture,
    ( ~ hskp25
    | c3_1(a656) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( ~ hskp24
    | c1_1(a651) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( ~ hskp24
    | c3_1(a651) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f59,negated_conjecture,
    ( ~ hskp21
    | c0_1(a631) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp21
    | c3_1(a631) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp20
    | c0_1(a630) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp20
    | c3_1(a630) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp19
    | c0_1(a627) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp18
    | c3_1(a625) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f67,negated_conjecture,
    ( ~ hskp16
    | c1_1(a620) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp15
    | c0_1(a619) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp14
    | c0_1(a615) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp14
    | c2_1(a615) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp13
    | c1_1(a614) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp12
    | c2_1(a609) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp11
    | c1_1(a608) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp10
    | c0_1(a605) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp10
    | c2_1(a605) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp9
    | c1_1(a604) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp9
    | c2_1(a604) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp8
    | c0_1(a603) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp7
    | c2_1(a602) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp7
    | c3_1(a602) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp6
    | c3_1(a600) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp5
    | c2_1(a599) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ hskp5
    | c3_1(a599) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ hskp3
    | c1_1(a597) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ hskp3
    | c2_1(a597) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( ~ hskp2
    | c2_1(a596) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ hskp1
    | c0_1(a594) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ hskp1
    | c1_1(a594) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ hskp0
    | c2_1(a593) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f93,negated_conjecture,
    ( ~ c0_1(a667)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f95,negated_conjecture,
    ( ~ c3_1(a667)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ c0_1(a656)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ c2_1(a651)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ c0_1(a645)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c2_1(a645)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c0_1(a644)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ c2_1(a644)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ c3_1(a644)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ c1_1(a631)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ c2_1(a630)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ c2_1(a627)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c3_1(a627)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c0_1(a625)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c1_1(a625)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f110,negated_conjecture,
    ( ~ c0_1(a620)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ c2_1(a620)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f113,negated_conjecture,
    ( ~ c3_1(a619)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c1_1(a615)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c2_1(a614)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c3_1(a614)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c1_1(a609)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c3_1(a609)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ c0_1(a608)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ c3_1(a608)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c3_1(a605)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c0_1(a604)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ c1_1(a603)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ c2_1(a603)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ c0_1(a602)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ c1_1(a600)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ c2_1(a600)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ c1_1(a599)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ c0_1(a598)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ c1_1(a598)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ( ~ c2_1(a598)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( ~ c3_1(a597)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f133,negated_conjecture,
    ( ~ c0_1(a596)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ( ~ c1_1(a596)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f135,negated_conjecture,
    ( ~ c3_1(a594)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f136,negated_conjecture,
    ( ~ c0_1(a593)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ( ~ c3_1(a593)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f140,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp3
      | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f141,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp5
      | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp10
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp28
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp19
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f149,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp14
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f150,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp15
      | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f154,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp4
      | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f155,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp23
      | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f158,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp28
      | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f159,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp0
      | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f160,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp29
      | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f162,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp5
      | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f164,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f166,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f167,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f168,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

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

fof(f170,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f173,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f175,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c0_1(X1)
      | c2_1(X1)
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f177,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c0_1(X1)
      | c2_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

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

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c0_1(X1)
      | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f184,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c0_1(X1)
      | hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f185,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c2_1(X1)
      | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f186,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c3_1(X1)
      | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

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

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

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

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

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

fof(f197,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X2)
      | ~ c3_1(X2)
      | c3_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).

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

fof(f199,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | c0_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/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)
      | ~ c2_1(X1)
      | ~ c1_1(X2)
      | c2_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause200) ).

fof(f201,plain,
    ( ~ hskp9
    | ~ hskp24 ),
    inference(consistent_polarity_flipping,[],[f1]) ).

fof(f202,plain,
    ( hskp31
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f2]) ).

fof(f209,plain,
    ( hskp24
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f9]) ).

fof(f232,plain,
    ( ~ hskp1
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f234,plain,
    ( ~ hskp30
    | hskp3
    | hskp26 ),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f236,plain,
    ( hskp1
    | ~ hskp31
    | ~ hskp24 ),
    inference(consistent_polarity_flipping,[],[f36]) ).

fof(f237,plain,
    ( hskp1
    | hskp21
    | ~ hskp4 ),
    inference(consistent_polarity_flipping,[],[f37]) ).

fof(f238,plain,
    ( ~ hskp10
    | ~ hskp28
    | ~ hskp2 ),
    inference(consistent_polarity_flipping,[],[f38]) ).

fof(f239,plain,
    ( ~ hskp10
    | ~ hskp9
    | hskp12 ),
    inference(consistent_polarity_flipping,[],[f39]) ).

fof(f240,plain,
    ( ~ hskp10
    | hskp12
    | hskp18 ),
    inference(consistent_polarity_flipping,[],[f40]) ).

fof(f242,plain,
    ( hskp31
    | c0_1(a672) ),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f243,plain,
    ( hskp31
    | c2_1(a672) ),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f244,plain,
    ( hskp31
    | ~ c3_1(a672) ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f245,plain,
    ( hskp30
    | c0_1(a637) ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f246,plain,
    ( hskp30
    | c1_1(a637) ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f247,plain,
    ( hskp30
    | c2_1(a637) ),
    inference(consistent_polarity_flipping,[],[f47]) ).

fof(f248,plain,
    ( hskp29
    | c0_1(a618) ),
    inference(consistent_polarity_flipping,[],[f48]) ).

fof(f249,plain,
    ( hskp29
    | c1_1(a618) ),
    inference(consistent_polarity_flipping,[],[f49]) ).

fof(f250,plain,
    ( hskp29
    | ~ c3_1(a618) ),
    inference(consistent_polarity_flipping,[],[f50]) ).

fof(f251,plain,
    ( hskp28
    | c1_1(a595) ),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f252,plain,
    ( hskp28
    | c2_1(a595) ),
    inference(consistent_polarity_flipping,[],[f52]) ).

fof(f253,plain,
    ( hskp28
    | ~ c3_1(a595) ),
    inference(consistent_polarity_flipping,[],[f53]) ).

fof(f254,plain,
    ( hskp25
    | c1_1(a656) ),
    inference(consistent_polarity_flipping,[],[f54]) ).

fof(f255,plain,
    ( hskp25
    | ~ c3_1(a656) ),
    inference(consistent_polarity_flipping,[],[f55]) ).

fof(f256,plain,
    ( hskp24
    | c1_1(a651) ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f257,plain,
    ( hskp24
    | ~ c3_1(a651) ),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f259,plain,
    ( ~ hskp21
    | ~ c3_1(a631) ),
    inference(consistent_polarity_flipping,[],[f60]) ).

fof(f260,plain,
    ( ~ hskp20
    | ~ c3_1(a630) ),
    inference(consistent_polarity_flipping,[],[f62]) ).

fof(f261,plain,
    ( ~ hskp18
    | ~ c3_1(a625) ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f262,plain,
    ( hskp13
    | c1_1(a614) ),
    inference(consistent_polarity_flipping,[],[f71]) ).

fof(f263,plain,
    ( hskp11
    | c1_1(a608) ),
    inference(consistent_polarity_flipping,[],[f73]) ).

fof(f264,plain,
    ( hskp10
    | c0_1(a605) ),
    inference(consistent_polarity_flipping,[],[f74]) ).

fof(f265,plain,
    ( hskp10
    | c2_1(a605) ),
    inference(consistent_polarity_flipping,[],[f75]) ).

fof(f266,plain,
    ( hskp9
    | c1_1(a604) ),
    inference(consistent_polarity_flipping,[],[f76]) ).

fof(f267,plain,
    ( hskp9
    | c2_1(a604) ),
    inference(consistent_polarity_flipping,[],[f77]) ).

fof(f268,plain,
    ( ~ hskp7
    | ~ c3_1(a602) ),
    inference(consistent_polarity_flipping,[],[f80]) ).

fof(f269,plain,
    ( hskp6
    | ~ c3_1(a600) ),
    inference(consistent_polarity_flipping,[],[f81]) ).

fof(f270,plain,
    ( ~ hskp5
    | ~ c3_1(a599) ),
    inference(consistent_polarity_flipping,[],[f83]) ).

fof(f271,plain,
    ( hskp2
    | c2_1(a596) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f273,plain,
    ( c3_1(a667)
    | ~ hskp26 ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f274,plain,
    ( ~ c0_1(a656)
    | hskp25 ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f275,plain,
    ( ~ c2_1(a651)
    | hskp24 ),
    inference(consistent_polarity_flipping,[],[f97]) ).

fof(f276,plain,
    ( ~ c0_1(a645)
    | hskp23 ),
    inference(consistent_polarity_flipping,[],[f98]) ).

fof(f277,plain,
    ( ~ c2_1(a645)
    | hskp23 ),
    inference(consistent_polarity_flipping,[],[f99]) ).

fof(f278,plain,
    ( ~ c0_1(a644)
    | hskp22 ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f279,plain,
    ( ~ c2_1(a644)
    | hskp22 ),
    inference(consistent_polarity_flipping,[],[f101]) ).

fof(f280,plain,
    ( c3_1(a644)
    | hskp22 ),
    inference(consistent_polarity_flipping,[],[f102]) ).

fof(f281,plain,
    ( c3_1(a627)
    | ~ hskp19 ),
    inference(consistent_polarity_flipping,[],[f106]) ).

fof(f282,plain,
    ( c3_1(a619)
    | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f113]) ).

fof(f283,plain,
    ( ~ c2_1(a614)
    | hskp13 ),
    inference(consistent_polarity_flipping,[],[f115]) ).

fof(f284,plain,
    ( c3_1(a614)
    | hskp13 ),
    inference(consistent_polarity_flipping,[],[f116]) ).

fof(f285,plain,
    ( c3_1(a609)
    | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f118]) ).

fof(f286,plain,
    ( ~ c0_1(a608)
    | hskp11 ),
    inference(consistent_polarity_flipping,[],[f119]) ).

fof(f287,plain,
    ( c3_1(a608)
    | hskp11 ),
    inference(consistent_polarity_flipping,[],[f120]) ).

fof(f288,plain,
    ( c3_1(a605)
    | hskp10 ),
    inference(consistent_polarity_flipping,[],[f121]) ).

fof(f289,plain,
    ( ~ c0_1(a604)
    | hskp9 ),
    inference(consistent_polarity_flipping,[],[f122]) ).

fof(f290,plain,
    ( ~ c1_1(a600)
    | hskp6 ),
    inference(consistent_polarity_flipping,[],[f126]) ).

fof(f291,plain,
    ( ~ c2_1(a600)
    | hskp6 ),
    inference(consistent_polarity_flipping,[],[f127]) ).

fof(f292,plain,
    ( ~ c0_1(a598)
    | hskp4 ),
    inference(consistent_polarity_flipping,[],[f129]) ).

fof(f293,plain,
    ( ~ c1_1(a598)
    | hskp4 ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f294,plain,
    ( ~ c2_1(a598)
    | hskp4 ),
    inference(consistent_polarity_flipping,[],[f131]) ).

fof(f295,plain,
    ( c3_1(a597)
    | ~ hskp3 ),
    inference(consistent_polarity_flipping,[],[f132]) ).

fof(f296,plain,
    ( ~ c0_1(a596)
    | hskp2 ),
    inference(consistent_polarity_flipping,[],[f133]) ).

fof(f297,plain,
    ( ~ c1_1(a596)
    | hskp2 ),
    inference(consistent_polarity_flipping,[],[f134]) ).

fof(f298,plain,
    ( c3_1(a594)
    | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f135]) ).

fof(f299,plain,
    ( c3_1(a593)
    | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f137]) ).

fof(f302,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp3
      | ~ hskp4 ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f303,plain,
    ! [X0] :
      ( c3_1(X0)
      | ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp5
      | ~ hskp6 ),
    inference(consistent_polarity_flipping,[],[f141]) ).

fof(f304,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | ndr1_0
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ hskp10
      | hskp5 ),
    inference(consistent_polarity_flipping,[],[f142]) ).

fof(f305,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | ndr1_0
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ hskp28
      | hskp7 ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f307,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | ndr1_0
      | c1_1(X0)
      | ~ c3_1(X0)
      | hskp19
      | hskp7 ),
    inference(consistent_polarity_flipping,[],[f145]) ).

fof(f310,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | ~ c3_1(X0)
      | ~ hskp25 ),
    inference(consistent_polarity_flipping,[],[f148]) ).

fof(f311,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c0_1(X0)
      | hskp14
      | hskp8 ),
    inference(consistent_polarity_flipping,[],[f149]) ).

fof(f312,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c0_1(X0)
      | hskp15
      | hskp16 ),
    inference(consistent_polarity_flipping,[],[f150]) ).

fof(f316,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ndr1_0
      | c2_1(X0)
      | ~ hskp4
      | ~ hskp22 ),
    inference(consistent_polarity_flipping,[],[f154]) ).

fof(f317,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c2_1(X0)
      | ~ hskp23
      | ~ hskp22 ),
    inference(consistent_polarity_flipping,[],[f155]) ).

fof(f320,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | ~ c3_1(X0)
      | ~ hskp28
      | ~ hskp4 ),
    inference(consistent_polarity_flipping,[],[f158]) ).

fof(f321,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | ~ c3_1(X0)
      | hskp0
      | ~ hskp22 ),
    inference(consistent_polarity_flipping,[],[f159]) ).

fof(f322,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | ~ hskp29
      | hskp16 ),
    inference(consistent_polarity_flipping,[],[f160]) ).

fof(f324,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | hskp5
      | hskp18 ),
    inference(consistent_polarity_flipping,[],[f162]) ).

fof(f326,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | ~ c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp0 ),
    inference(consistent_polarity_flipping,[],[f164]) ).

fof(f328,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ndr1_0
      | ~ c2_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ hskp11 ),
    inference(consistent_polarity_flipping,[],[f166]) ).

fof(f329,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c2_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp1 ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f330,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | ~ c3_1(X1)
      | hskp7 ),
    inference(consistent_polarity_flipping,[],[f168]) ).

fof(f331,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | hskp1 ),
    inference(consistent_polarity_flipping,[],[f169]) ).

fof(f332,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ hskp28 ),
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f335,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X1)
      | hskp20 ),
    inference(consistent_polarity_flipping,[],[f173]) ).

fof(f336,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | c2_1(X0)
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ hskp29 ),
    inference(consistent_polarity_flipping,[],[f174]) ).

fof(f337,plain,
    ! [X2,X0,X1] :
      ( ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | ~ c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f175]) ).

fof(f338,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | c0_1(X1)
      | c2_1(X1)
      | ~ hskp9 ),
    inference(consistent_polarity_flipping,[],[f176]) ).

fof(f339,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | c0_1(X1)
      | c2_1(X1)
      | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f177]) ).

fof(f340,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f178]) ).

fof(f341,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c2_1(X1)
      | c1_1(X1)
      | ~ c3_1(X1)
      | hskp18 ),
    inference(consistent_polarity_flipping,[],[f179]) ).

fof(f344,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ hskp30 ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f345,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | hskp14 ),
    inference(consistent_polarity_flipping,[],[f183]) ).

fof(f346,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | ~ c2_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | ~ hskp29 ),
    inference(consistent_polarity_flipping,[],[f184]) ).

fof(f347,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c2_1(X1)
      | hskp18 ),
    inference(consistent_polarity_flipping,[],[f185]) ).

fof(f348,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ hskp24 ),
    inference(consistent_polarity_flipping,[],[f186]) ).

fof(f350,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | c3_1(X1)
      | ~ c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f188]) ).

fof(f351,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | c2_1(X0)
      | c2_1(X1)
      | ~ c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f189]) ).

fof(f352,plain,
    ! [X2,X0,X1] :
      ( ~ c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c3_1(X1)
      | c0_1(X0)
      | c0_1(X2)
      | c2_1(X2)
      | ~ c3_1(X2)
      | c0_1(X1)
      | c1_1(X1) ),
    inference(consistent_polarity_flipping,[],[f190]) ).

fof(f356,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f194]) ).

fof(f357,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c2_1(X1)
      | c3_1(X1)
      | c3_1(X2)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    inference(consistent_polarity_flipping,[],[f195]) ).

fof(f359,plain,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X2)
      | c3_1(X2)
      | ~ c3_1(X0)
      | c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X2) ),
    inference(consistent_polarity_flipping,[],[f197]) ).

fof(f360,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X2)
      | c3_1(X2)
      | c2_1(X1)
      | ~ c3_1(X1)
      | c0_1(X2) ),
    inference(consistent_polarity_flipping,[],[f198]) ).

fof(f361,plain,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | c3_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | c0_1(X1)
      | c0_1(X2) ),
    inference(consistent_polarity_flipping,[],[f199]) ).

fof(f362,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X2)
      | c2_1(X2)
      | ~ c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f200]) ).

fof(f364,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f365,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c3_1(X2)
        | c2_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f367,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f368,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f370,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f374,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f375,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f376,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f362,f374,f370,f367,f364]) ).

fof(f378,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f379,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f381,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f382,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f384,definition,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f385,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f386,plain,
    ( spl0_5
    | spl0_6
    | spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f361,f384,f370,f381,f378]) ).

fof(f388,definition,
    ( spl0_8
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f389,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f390,plain,
    ( spl0_8
    | spl0_1
    | spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f360,f367,f370,f364,f388]) ).

fof(f392,definition,
    ( spl0_9
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c1_1(X2)
        | c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f393,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | ~ c0_1(X2)
        | c3_1(X2) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f395,definition,
    ( spl0_10
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f396,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f397,plain,
    ( spl0_9
    | spl0_1
    | spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f359,f395,f370,f364,f392]) ).

fof(f399,definition,
    ( spl0_11
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f400,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f399]) ).

fof(f402,definition,
    ( spl0_12
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f403,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f406,definition,
    ( spl0_13
  <=> ! [X2] :
        ( c3_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f407,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f409,definition,
    ( spl0_14
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f410,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f411,plain,
    ( spl0_13
    | spl0_8
    | spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f357,f409,f370,f388,f406]) ).

fof(f413,definition,
    ( spl0_15
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f414,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f415,plain,
    ( spl0_15
    | spl0_10
    | spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f356,f367,f370,f395,f413]) ).

fof(f417,definition,
    ( spl0_16
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f418,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2)
        | c2_1(X2) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f420,definition,
    ( spl0_17
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f421,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f424,definition,
    ( spl0_18
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f425,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f427,definition,
    ( spl0_19
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f428,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f431,definition,
    ( spl0_20
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f432,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | ~ c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f434,plain,
    ( spl0_16
    | spl0_13
    | spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f352,f388,f370,f406,f417]) ).

fof(f435,plain,
    ( spl0_15
    | spl0_17
    | spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f351,f409,f370,f420,f413]) ).

fof(f437,definition,
    ( spl0_21
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f438,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f439,plain,
    ( spl0_15
    | spl0_13
    | spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f350,f437,f370,f406,f413]) ).

fof(f446,definition,
    ( spl0_23
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f449,plain,
    ( ~ spl0_23
    | spl0_19
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f348,f374,f370,f427,f446]) ).

fof(f451,definition,
    ( spl0_24
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f455,definition,
    ( spl0_25
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f456,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f457,plain,
    ( spl0_24
    | spl0_25
    | spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f347,f367,f370,f455,f451]) ).

fof(f459,definition,
    ( spl0_26
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f462,plain,
    ( ~ spl0_26
    | spl0_8
    | spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f346,f367,f370,f388,f459]) ).

fof(f464,definition,
    ( spl0_27
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f467,plain,
    ( spl0_27
    | spl0_6
    | spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f345,f367,f370,f381,f464]) ).

fof(f469,definition,
    ( spl0_28
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f472,plain,
    ( ~ spl0_28
    | spl0_17
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f344,f374,f370,f420,f469]) ).

fof(f474,definition,
    ( spl0_29
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f479,definition,
    ( spl0_30
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f487,definition,
    ( spl0_32
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f488,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f489,plain,
    ( spl0_24
    | spl0_12
    | spl0_3
    | spl0_32 ),
    inference(avatar_split_clause,[],[f341,f487,f370,f402,f451]) ).

fof(f491,definition,
    ( spl0_33
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f494,plain,
    ( ~ spl0_33
    | spl0_5
    | spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f340,f409,f370,f378,f491]) ).

fof(f496,definition,
    ( spl0_34
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f499,plain,
    ( ~ spl0_34
    | spl0_11
    | spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f339,f384,f370,f399,f496]) ).

fof(f501,definition,
    ( spl0_35
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f504,plain,
    ( ~ spl0_35
    | spl0_11
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f338,f374,f370,f399,f501]) ).

fof(f505,plain,
    ( spl0_15
    | spl0_20
    | spl0_16
    | spl0_3 ),
    inference(avatar_split_clause,[],[f337,f370,f417,f431,f413]) ).

fof(f506,plain,
    ( ~ spl0_26
    | spl0_17
    | spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f336,f455,f370,f420,f459]) ).

fof(f508,definition,
    ( spl0_36
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f511,plain,
    ( spl0_36
    | spl0_9
    | spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f335,f420,f370,f392,f508]) ).

fof(f517,definition,
    ( spl0_38
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f518,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f520,definition,
    ( spl0_39
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f521,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f524,definition,
    ( spl0_40
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f527,plain,
    ( ~ spl0_40
    | spl0_18
    | spl0_3
    | spl0_39 ),
    inference(avatar_split_clause,[],[f332,f520,f370,f424,f524]) ).

fof(f529,definition,
    ( spl0_41
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f532,plain,
    ( spl0_41
    | spl0_18
    | spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f331,f392,f370,f424,f529]) ).

fof(f534,definition,
    ( spl0_42
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f537,plain,
    ( spl0_42
    | spl0_16
    | spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f330,f367,f370,f417,f534]) ).

fof(f539,definition,
    ( spl0_43
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f540,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f539]) ).

fof(f541,plain,
    ( spl0_41
    | spl0_43
    | spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f329,f392,f370,f539,f529]) ).

fof(f543,definition,
    ( spl0_44
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f547,definition,
    ( spl0_45
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f548,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f549,plain,
    ( ~ spl0_44
    | spl0_38
    | spl0_3
    | spl0_45 ),
    inference(avatar_split_clause,[],[f328,f547,f370,f517,f543]) ).

fof(f551,definition,
    ( spl0_46
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f556,definition,
    ( spl0_47
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f559,plain,
    ( spl0_47
    | spl0_15
    | spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f326,f437,f370,f413,f556]) ).

fof(f561,definition,
    ( spl0_48
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f565,plain,
    ( spl0_24
    | spl0_48
    | spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f324,f384,f370,f561,f451]) ).

fof(f567,definition,
    ( spl0_49
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f572,definition,
    ( spl0_50
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f575,plain,
    ( spl0_50
    | ~ spl0_26
    | spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f322,f367,f370,f459,f572]) ).

fof(f577,definition,
    ( spl0_51
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f580,plain,
    ( ~ spl0_51
    | spl0_47
    | spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f321,f395,f370,f556,f577]) ).

fof(f582,definition,
    ( spl0_52
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f585,plain,
    ( ~ spl0_52
    | ~ spl0_40
    | spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f320,f437,f370,f524,f582]) ).

fof(f588,definition,
    ( spl0_53
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f593,definition,
    ( spl0_54
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f596,plain,
    ( ~ spl0_51
    | ~ spl0_54
    | spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f317,f409,f370,f593,f577]) ).

fof(f597,plain,
    ( ~ spl0_51
    | ~ spl0_52
    | spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f316,f455,f370,f582,f577]) ).

fof(f605,definition,
    ( spl0_56
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f608,plain,
    ( spl0_50
    | spl0_56
    | spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f312,f388,f370,f605,f572]) ).

fof(f609,plain,
    ( spl0_46
    | spl0_27
    | spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f311,f381,f370,f464,f551]) ).

fof(f611,definition,
    ( spl0_57
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f614,plain,
    ( ~ spl0_57
    | spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f310,f437,f370,f611]) ).

fof(f617,definition,
    ( spl0_58
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f621,plain,
    ( spl0_42
    | spl0_58
    | spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f307,f402,f370,f617,f534]) ).

fof(f626,plain,
    ( spl0_42
    | ~ spl0_40
    | spl0_3
    | spl0_38 ),
    inference(avatar_split_clause,[],[f305,f517,f370,f524,f534]) ).

fof(f627,plain,
    ( spl0_48
    | ~ spl0_34
    | spl0_3
    | spl0_38 ),
    inference(avatar_split_clause,[],[f304,f517,f370,f496,f561]) ).

fof(f628,plain,
    ( ~ spl0_53
    | spl0_48
    | spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f303,f406,f370,f561,f588]) ).

fof(f630,definition,
    ( spl0_60
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f633,plain,
    ( ~ spl0_52
    | spl0_60
    | spl0_3
    | spl0_43 ),
    inference(avatar_split_clause,[],[f302,f539,f370,f630,f582]) ).

fof(f640,definition,
    ( spl0_62
  <=> c3_1(a593) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f642,plain,
    ( c3_1(a593)
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f643,plain,
    ( ~ spl0_47
    | spl0_62 ),
    inference(avatar_split_clause,[],[f299,f640,f556]) ).

fof(f645,definition,
    ( spl0_63
  <=> c0_1(a593) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f648,plain,
    ( ~ spl0_47
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f136,f645,f556]) ).

fof(f650,definition,
    ( spl0_64
  <=> c3_1(a594) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f653,plain,
    ( ~ spl0_41
    | spl0_64 ),
    inference(avatar_split_clause,[],[f298,f650,f529]) ).

fof(f655,definition,
    ( spl0_65
  <=> c1_1(a596) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f657,plain,
    ( ~ c1_1(a596)
    | spl0_65 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f658,plain,
    ( spl0_49
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f297,f655,f567]) ).

fof(f660,definition,
    ( spl0_66
  <=> c0_1(a596) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f663,plain,
    ( spl0_49
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f296,f660,f567]) ).

fof(f665,definition,
    ( spl0_67
  <=> c3_1(a597) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f668,plain,
    ( ~ spl0_60
    | spl0_67 ),
    inference(avatar_split_clause,[],[f295,f665,f630]) ).

fof(f670,definition,
    ( spl0_68
  <=> c2_1(a598) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f673,plain,
    ( spl0_52
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f294,f670,f582]) ).

fof(f675,definition,
    ( spl0_69
  <=> c1_1(a598) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f677,plain,
    ( ~ c1_1(a598)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f678,plain,
    ( spl0_52
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f293,f675,f582]) ).

fof(f680,definition,
    ( spl0_70
  <=> c0_1(a598) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f683,plain,
    ( spl0_52
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f292,f680,f582]) ).

fof(f685,definition,
    ( spl0_71
  <=> c1_1(a599) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f687,plain,
    ( ~ c1_1(a599)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f688,plain,
    ( ~ spl0_48
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f128,f685,f561]) ).

fof(f690,definition,
    ( spl0_72
  <=> c2_1(a600) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f693,plain,
    ( spl0_53
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f291,f690,f588]) ).

fof(f695,definition,
    ( spl0_73
  <=> c1_1(a600) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f697,plain,
    ( ~ c1_1(a600)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f698,plain,
    ( spl0_53
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f290,f695,f588]) ).

fof(f700,definition,
    ( spl0_74
  <=> c0_1(a602) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f703,plain,
    ( ~ spl0_42
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f125,f700,f534]) ).

fof(f705,definition,
    ( spl0_75
  <=> c2_1(a603) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f707,plain,
    ( ~ c2_1(a603)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f708,plain,
    ( ~ spl0_46
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f124,f705,f551]) ).

fof(f710,definition,
    ( spl0_76
  <=> c1_1(a603) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f712,plain,
    ( ~ c1_1(a603)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f713,plain,
    ( ~ spl0_46
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f123,f710,f551]) ).

fof(f715,definition,
    ( spl0_77
  <=> c0_1(a604) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f718,plain,
    ( spl0_35
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f289,f715,f501]) ).

fof(f720,definition,
    ( spl0_78
  <=> c3_1(a605) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f722,plain,
    ( c3_1(a605)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f723,plain,
    ( spl0_34
    | spl0_78 ),
    inference(avatar_split_clause,[],[f288,f720,f496]) ).

fof(f725,definition,
    ( spl0_79
  <=> c3_1(a608) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f728,plain,
    ( spl0_44
    | spl0_79 ),
    inference(avatar_split_clause,[],[f287,f725,f543]) ).

fof(f730,definition,
    ( spl0_80
  <=> c0_1(a608) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f733,plain,
    ( spl0_44
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f286,f730,f543]) ).

fof(f735,definition,
    ( spl0_81
  <=> c3_1(a609) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f737,plain,
    ( c3_1(a609)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f738,plain,
    ( ~ spl0_30
    | spl0_81 ),
    inference(avatar_split_clause,[],[f285,f735,f479]) ).

fof(f740,definition,
    ( spl0_82
  <=> c1_1(a609) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f742,plain,
    ( ~ c1_1(a609)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f743,plain,
    ( ~ spl0_30
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f117,f740,f479]) ).

fof(f745,definition,
    ( spl0_83
  <=> c3_1(a614) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f747,plain,
    ( c3_1(a614)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f748,plain,
    ( spl0_33
    | spl0_83 ),
    inference(avatar_split_clause,[],[f284,f745,f491]) ).

fof(f750,definition,
    ( spl0_84
  <=> c2_1(a614) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f753,plain,
    ( spl0_33
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f283,f750,f491]) ).

fof(f755,definition,
    ( spl0_85
  <=> c1_1(a615) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f757,plain,
    ( ~ c1_1(a615)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f755]) ).

fof(f758,plain,
    ( ~ spl0_27
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f114,f755,f464]) ).

fof(f760,definition,
    ( spl0_86
  <=> c3_1(a619) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f762,plain,
    ( c3_1(a619)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f763,plain,
    ( ~ spl0_56
    | spl0_86 ),
    inference(avatar_split_clause,[],[f282,f760,f605]) ).

fof(f770,definition,
    ( spl0_88
  <=> c2_1(a620) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f773,plain,
    ( ~ spl0_50
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f111,f770,f572]) ).

fof(f775,definition,
    ( spl0_89
  <=> c0_1(a620) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f778,plain,
    ( ~ spl0_50
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f110,f775,f572]) ).

fof(f785,definition,
    ( spl0_91
  <=> c1_1(a625) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f787,plain,
    ( ~ c1_1(a625)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f788,plain,
    ( ~ spl0_24
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f108,f785,f451]) ).

fof(f790,definition,
    ( spl0_92
  <=> c0_1(a625) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f793,plain,
    ( ~ spl0_24
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f107,f790,f451]) ).

fof(f795,definition,
    ( spl0_93
  <=> c3_1(a627) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f797,plain,
    ( c3_1(a627)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f798,plain,
    ( ~ spl0_58
    | spl0_93 ),
    inference(avatar_split_clause,[],[f281,f795,f617]) ).

fof(f800,definition,
    ( spl0_94
  <=> c2_1(a627) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f803,plain,
    ( ~ spl0_58
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f105,f800,f617]) ).

fof(f805,definition,
    ( spl0_95
  <=> c2_1(a630) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f808,plain,
    ( ~ spl0_36
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f104,f805,f508]) ).

fof(f810,definition,
    ( spl0_96
  <=> c1_1(a631) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f812,plain,
    ( ~ c1_1(a631)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f813,plain,
    ( ~ spl0_29
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f103,f810,f474]) ).

fof(f815,definition,
    ( spl0_97
  <=> c3_1(a644) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f817,plain,
    ( c3_1(a644)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f818,plain,
    ( spl0_51
    | spl0_97 ),
    inference(avatar_split_clause,[],[f280,f815,f577]) ).

fof(f820,definition,
    ( spl0_98
  <=> c2_1(a644) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f823,plain,
    ( spl0_51
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f279,f820,f577]) ).

fof(f825,definition,
    ( spl0_99
  <=> c0_1(a644) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f828,plain,
    ( spl0_51
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f278,f825,f577]) ).

fof(f830,definition,
    ( spl0_100
  <=> c2_1(a645) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f832,plain,
    ( ~ c2_1(a645)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f833,plain,
    ( spl0_54
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f277,f830,f593]) ).

fof(f835,definition,
    ( spl0_101
  <=> c0_1(a645) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f838,plain,
    ( spl0_54
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f276,f835,f593]) ).

fof(f840,definition,
    ( spl0_102
  <=> c2_1(a651) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f843,plain,
    ( spl0_23
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f275,f840,f446]) ).

fof(f845,definition,
    ( spl0_103
  <=> c0_1(a656) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f848,plain,
    ( spl0_57
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f274,f845,f611]) ).

fof(f850,definition,
    ( spl0_104
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f854,definition,
    ( spl0_105
  <=> c3_1(a667) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f856,plain,
    ( c3_1(a667)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f857,plain,
    ( ~ spl0_104
    | spl0_105 ),
    inference(avatar_split_clause,[],[f273,f854,f850]) ).

fof(f864,definition,
    ( spl0_107
  <=> c0_1(a667) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f867,plain,
    ( ~ spl0_104
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f93,f864,f850]) ).

fof(f888,definition,
    ( spl0_112
  <=> c2_1(a593) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f891,plain,
    ( spl0_112
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f89,f556,f888]) ).

fof(f893,definition,
    ( spl0_113
  <=> c1_1(a594) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f895,plain,
    ( c1_1(a594)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f893]) ).

fof(f896,plain,
    ( spl0_113
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f88,f529,f893]) ).

fof(f898,definition,
    ( spl0_114
  <=> c0_1(a594) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f901,plain,
    ( spl0_114
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f87,f529,f898]) ).

fof(f903,definition,
    ( spl0_115
  <=> c2_1(a596) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f906,plain,
    ( spl0_115
    | spl0_49 ),
    inference(avatar_split_clause,[],[f271,f567,f903]) ).

fof(f908,definition,
    ( spl0_116
  <=> c2_1(a597) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f911,plain,
    ( spl0_116
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f85,f630,f908]) ).

fof(f913,definition,
    ( spl0_117
  <=> c1_1(a597) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f915,plain,
    ( c1_1(a597)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f916,plain,
    ( spl0_117
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f84,f630,f913]) ).

fof(f918,definition,
    ( spl0_118
  <=> c3_1(a599) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f920,plain,
    ( ~ c3_1(a599)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f921,plain,
    ( ~ spl0_118
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f270,f561,f918]) ).

fof(f923,definition,
    ( spl0_119
  <=> c2_1(a599) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f926,plain,
    ( spl0_119
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f82,f561,f923]) ).

fof(f928,definition,
    ( spl0_120
  <=> c3_1(a600) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f931,plain,
    ( ~ spl0_120
    | spl0_53 ),
    inference(avatar_split_clause,[],[f269,f588,f928]) ).

fof(f933,definition,
    ( spl0_121
  <=> c3_1(a602) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f935,plain,
    ( ~ c3_1(a602)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f933]) ).

fof(f936,plain,
    ( ~ spl0_121
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f268,f534,f933]) ).

fof(f938,definition,
    ( spl0_122
  <=> c2_1(a602) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f941,plain,
    ( spl0_122
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f79,f534,f938]) ).

fof(f943,definition,
    ( spl0_123
  <=> c0_1(a603) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f946,plain,
    ( spl0_123
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f78,f551,f943]) ).

fof(f948,definition,
    ( spl0_124
  <=> c2_1(a604) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f951,plain,
    ( spl0_124
    | spl0_35 ),
    inference(avatar_split_clause,[],[f267,f501,f948]) ).

fof(f953,definition,
    ( spl0_125
  <=> c1_1(a604) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f955,plain,
    ( c1_1(a604)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f953]) ).

fof(f956,plain,
    ( spl0_125
    | spl0_35 ),
    inference(avatar_split_clause,[],[f266,f501,f953]) ).

fof(f958,definition,
    ( spl0_126
  <=> c2_1(a605) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f961,plain,
    ( spl0_126
    | spl0_34 ),
    inference(avatar_split_clause,[],[f265,f496,f958]) ).

fof(f963,definition,
    ( spl0_127
  <=> c0_1(a605) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f966,plain,
    ( spl0_127
    | spl0_34 ),
    inference(avatar_split_clause,[],[f264,f496,f963]) ).

fof(f968,definition,
    ( spl0_128
  <=> c1_1(a608) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f970,plain,
    ( c1_1(a608)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f968]) ).

fof(f971,plain,
    ( spl0_128
    | spl0_44 ),
    inference(avatar_split_clause,[],[f263,f543,f968]) ).

fof(f973,definition,
    ( spl0_129
  <=> c2_1(a609) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f976,plain,
    ( spl0_129
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f72,f479,f973]) ).

fof(f978,definition,
    ( spl0_130
  <=> c1_1(a614) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f980,plain,
    ( c1_1(a614)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f978]) ).

fof(f981,plain,
    ( spl0_130
    | spl0_33 ),
    inference(avatar_split_clause,[],[f262,f491,f978]) ).

fof(f983,definition,
    ( spl0_131
  <=> c2_1(a615) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f985,plain,
    ( c2_1(a615)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f983]) ).

fof(f986,plain,
    ( spl0_131
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f70,f464,f983]) ).

fof(f988,definition,
    ( spl0_132
  <=> c0_1(a615) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f991,plain,
    ( spl0_132
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f69,f464,f988]) ).

fof(f993,definition,
    ( spl0_133
  <=> c0_1(a619) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f996,plain,
    ( spl0_133
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f68,f605,f993]) ).

fof(f998,definition,
    ( spl0_134
  <=> c1_1(a620) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f1000,plain,
    ( c1_1(a620)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f998]) ).

fof(f1001,plain,
    ( spl0_134
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f67,f572,f998]) ).

fof(f1013,definition,
    ( spl0_137
  <=> c3_1(a625) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f1015,plain,
    ( ~ c3_1(a625)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f1013]) ).

fof(f1016,plain,
    ( ~ spl0_137
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f261,f451,f1013]) ).

fof(f1018,definition,
    ( spl0_138
  <=> c0_1(a627) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f1021,plain,
    ( spl0_138
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f63,f617,f1018]) ).

fof(f1023,definition,
    ( spl0_139
  <=> c3_1(a630) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f1025,plain,
    ( ~ c3_1(a630)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f1023]) ).

fof(f1026,plain,
    ( ~ spl0_139
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f260,f508,f1023]) ).

fof(f1028,definition,
    ( spl0_140
  <=> c0_1(a630) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1031,plain,
    ( spl0_140
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f61,f508,f1028]) ).

fof(f1033,definition,
    ( spl0_141
  <=> c3_1(a631) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f1036,plain,
    ( ~ spl0_141
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f259,f474,f1033]) ).

fof(f1038,definition,
    ( spl0_142
  <=> c0_1(a631) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f1041,plain,
    ( spl0_142
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f59,f474,f1038]) ).

fof(f1048,definition,
    ( spl0_144
  <=> c3_1(a651) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1050,plain,
    ( ~ c3_1(a651)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f1048]) ).

fof(f1051,plain,
    ( ~ spl0_144
    | spl0_23 ),
    inference(avatar_split_clause,[],[f257,f446,f1048]) ).

fof(f1053,definition,
    ( spl0_145
  <=> c1_1(a651) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1055,plain,
    ( c1_1(a651)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f1053]) ).

fof(f1056,plain,
    ( spl0_145
    | spl0_23 ),
    inference(avatar_split_clause,[],[f256,f446,f1053]) ).

fof(f1058,definition,
    ( spl0_146
  <=> c3_1(a656) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1060,plain,
    ( ~ c3_1(a656)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f1058]) ).

fof(f1061,plain,
    ( ~ spl0_146
    | spl0_57 ),
    inference(avatar_split_clause,[],[f255,f611,f1058]) ).

fof(f1063,definition,
    ( spl0_147
  <=> c1_1(a656) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1065,plain,
    ( c1_1(a656)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f1063]) ).

fof(f1066,plain,
    ( spl0_147
    | spl0_57 ),
    inference(avatar_split_clause,[],[f254,f611,f1063]) ).

fof(f1068,definition,
    ( spl0_148
  <=> c3_1(a595) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1070,plain,
    ( ~ c3_1(a595)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f1068]) ).

fof(f1071,plain,
    ( ~ spl0_148
    | spl0_40 ),
    inference(avatar_split_clause,[],[f253,f524,f1068]) ).

fof(f1073,definition,
    ( spl0_149
  <=> c2_1(a595) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1075,plain,
    ( c2_1(a595)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f1073]) ).

fof(f1076,plain,
    ( spl0_149
    | spl0_40 ),
    inference(avatar_split_clause,[],[f252,f524,f1073]) ).

fof(f1078,definition,
    ( spl0_150
  <=> c1_1(a595) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1080,plain,
    ( c1_1(a595)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1078]) ).

fof(f1081,plain,
    ( spl0_150
    | spl0_40 ),
    inference(avatar_split_clause,[],[f251,f524,f1078]) ).

fof(f1083,definition,
    ( spl0_151
  <=> c3_1(a618) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1085,plain,
    ( ~ c3_1(a618)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f1083]) ).

fof(f1086,plain,
    ( ~ spl0_151
    | spl0_26 ),
    inference(avatar_split_clause,[],[f250,f459,f1083]) ).

fof(f1088,definition,
    ( spl0_152
  <=> c1_1(a618) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1090,plain,
    ( c1_1(a618)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f1088]) ).

fof(f1091,plain,
    ( spl0_152
    | spl0_26 ),
    inference(avatar_split_clause,[],[f249,f459,f1088]) ).

fof(f1093,definition,
    ( spl0_153
  <=> c0_1(a618) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1096,plain,
    ( spl0_153
    | spl0_26 ),
    inference(avatar_split_clause,[],[f248,f459,f1093]) ).

fof(f1098,definition,
    ( spl0_154
  <=> c2_1(a637) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1101,plain,
    ( spl0_154
    | spl0_28 ),
    inference(avatar_split_clause,[],[f247,f469,f1098]) ).

fof(f1103,definition,
    ( spl0_155
  <=> c1_1(a637) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1105,plain,
    ( c1_1(a637)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1103]) ).

fof(f1106,plain,
    ( spl0_155
    | spl0_28 ),
    inference(avatar_split_clause,[],[f246,f469,f1103]) ).

fof(f1108,definition,
    ( spl0_156
  <=> c0_1(a637) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1111,plain,
    ( spl0_156
    | spl0_28 ),
    inference(avatar_split_clause,[],[f245,f469,f1108]) ).

fof(f1113,definition,
    ( spl0_157
  <=> c3_1(a672) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1115,plain,
    ( ~ c3_1(a672)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f1113]) ).

fof(f1117,definition,
    ( spl0_158
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1120,plain,
    ( ~ spl0_157
    | spl0_158 ),
    inference(avatar_split_clause,[],[f244,f1117,f1113]) ).

fof(f1122,definition,
    ( spl0_159
  <=> c2_1(a672) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1125,plain,
    ( spl0_159
    | spl0_158 ),
    inference(avatar_split_clause,[],[f243,f1117,f1122]) ).

fof(f1127,definition,
    ( spl0_160
  <=> c0_1(a672) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1130,plain,
    ( spl0_160
    | spl0_158 ),
    inference(avatar_split_clause,[],[f242,f1117,f1127]) ).

fof(f1132,plain,
    ( spl0_24
    | spl0_30
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f240,f496,f479,f451]) ).

fof(f1133,plain,
    ( spl0_30
    | ~ spl0_35
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f239,f496,f501,f479]) ).

fof(f1134,plain,
    ( ~ spl0_49
    | ~ spl0_40
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f238,f496,f524,f567]) ).

fof(f1135,plain,
    ( ~ spl0_52
    | spl0_29
    | spl0_41 ),
    inference(avatar_split_clause,[],[f237,f529,f474,f582]) ).

fof(f1136,plain,
    ( ~ spl0_23
    | ~ spl0_158
    | spl0_41 ),
    inference(avatar_split_clause,[],[f236,f529,f1117,f446]) ).

fof(f1138,plain,
    ( spl0_104
    | spl0_60
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f234,f469,f630,f850]) ).

fof(f1140,plain,
    ( ~ spl0_3
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f232,f529,f370]) ).

fof(f1163,plain,
    ( ~ spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f209,f446,f370]) ).

fof(f1170,plain,
    ( ~ spl0_3
    | spl0_158 ),
    inference(avatar_split_clause,[],[f202,f1117,f370]) ).

fof(f1171,plain,
    ( ~ spl0_23
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f201,f501,f446]) ).

fof(f1175,definition,
    ( spl0_161
  <=> c2_1(a594) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1179,plain,
    ( ~ c0_1(a672)
    | ~ c2_1(a672)
    | ~ spl0_4
    | spl0_157 ),
    inference(resolution,[],[f375,f1115]) ).

fof(f1181,plain,
    ( ~ c0_1(a595)
    | ~ c2_1(a595)
    | ~ spl0_4
    | spl0_148 ),
    inference(resolution,[],[f375,f1070]) ).

fof(f1196,plain,
    ( ~ c0_1(a599)
    | ~ c2_1(a599)
    | ~ spl0_4
    | spl0_118 ),
    inference(resolution,[],[f375,f920]) ).

fof(f1203,definition,
    ( spl0_162
  <=> c3_1(a604) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1209,plain,
    ( c3_1(a604)
    | ~ c2_1(a604)
    | ~ spl0_7
    | ~ spl0_125 ),
    inference(resolution,[],[f385,f955]) ).

fof(f1215,plain,
    ( ~ c3_1(a620)
    | c2_1(a620)
    | ~ spl0_1
    | ~ spl0_134 ),
    inference(resolution,[],[f365,f1000]) ).

fof(f1220,definition,
    ( spl0_163
  <=> c3_1(a620) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1221,plain,
    ( c3_1(a620)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1220]) ).

fof(f1223,plain,
    ( spl0_88
    | ~ spl0_163
    | ~ spl0_1
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1215,f998,f364,f1220,f770]) ).

fof(f1224,plain,
    ( c0_1(a651)
    | c3_1(a651)
    | ~ spl0_6
    | ~ spl0_145 ),
    inference(resolution,[],[f382,f1055]) ).

fof(f1225,plain,
    ( c0_1(a620)
    | c3_1(a620)
    | ~ spl0_6
    | ~ spl0_134 ),
    inference(resolution,[],[f382,f1000]) ).

fof(f1226,plain,
    ( c0_1(a604)
    | c3_1(a604)
    | ~ spl0_6
    | ~ spl0_125 ),
    inference(resolution,[],[f382,f955]) ).

fof(f1230,definition,
    ( spl0_164
  <=> c0_1(a651) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1245,plain,
    ( c0_1(a625)
    | ~ c2_1(a625)
    | ~ spl0_8
    | spl0_137 ),
    inference(resolution,[],[f389,f1015]) ).

fof(f1264,definition,
    ( spl0_166
  <=> c2_1(a619) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1269,definition,
    ( spl0_167
  <=> c2_1(a625) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1272,plain,
    ( ~ spl0_167
    | spl0_92
    | ~ spl0_8
    | spl0_137 ),
    inference(avatar_split_clause,[],[f1245,f1013,f388,f790,f1269]) ).

fof(f1279,definition,
    ( spl0_169
  <=> c2_1(a656) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1288,plain,
    ( ~ c0_1(a631)
    | c3_1(a631)
    | ~ spl0_9
    | spl0_96 ),
    inference(resolution,[],[f393,f812]) ).

fof(f1292,plain,
    ( ~ c0_1(a615)
    | c3_1(a615)
    | ~ spl0_9
    | spl0_85 ),
    inference(resolution,[],[f393,f757]) ).

fof(f1296,plain,
    ( ~ c0_1(a603)
    | c3_1(a603)
    | ~ spl0_9
    | spl0_76 ),
    inference(resolution,[],[f393,f712]) ).

fof(f1297,plain,
    ( ~ c0_1(a600)
    | c3_1(a600)
    | ~ spl0_9
    | spl0_73 ),
    inference(resolution,[],[f393,f697]) ).

fof(f1298,plain,
    ( ~ c0_1(a599)
    | c3_1(a599)
    | ~ spl0_9
    | spl0_71 ),
    inference(resolution,[],[f393,f687]) ).

fof(f1311,definition,
    ( spl0_171
  <=> c0_1(a599) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1314,plain,
    ( spl0_118
    | ~ spl0_171
    | ~ spl0_9
    | spl0_71 ),
    inference(avatar_split_clause,[],[f1298,f685,f392,f1311,f918]) ).

fof(f1316,definition,
    ( spl0_172
  <=> c0_1(a600) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1319,plain,
    ( spl0_120
    | ~ spl0_172
    | ~ spl0_9
    | spl0_73 ),
    inference(avatar_split_clause,[],[f1297,f695,f392,f1316,f928]) ).

fof(f1321,definition,
    ( spl0_173
  <=> c3_1(a603) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1323,plain,
    ( c3_1(a603)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1321]) ).

fof(f1324,plain,
    ( spl0_173
    | ~ spl0_123
    | ~ spl0_9
    | spl0_76 ),
    inference(avatar_split_clause,[],[f1296,f710,f392,f943,f1321]) ).

fof(f1331,definition,
    ( spl0_175
  <=> c0_1(a614) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1336,definition,
    ( spl0_176
  <=> c0_1(a595) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1352,plain,
    ( c2_1(a620)
    | c0_1(a620)
    | ~ spl0_11
    | ~ spl0_134 ),
    inference(resolution,[],[f400,f1000]) ).

fof(f1355,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(resolution,[],[f403,f396]) ).

fof(f1367,plain,
    ( ~ c3_1(a609)
    | ~ c2_1(a609)
    | ~ spl0_12
    | spl0_82 ),
    inference(resolution,[],[f403,f742]) ).

fof(f1379,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(duplicate_literal_removal,[],[f1355]) ).

fof(f1381,definition,
    ( spl0_177
  <=> c2_1(a667) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1387,definition,
    ( spl0_178
  <=> c3_1(a596) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1388,plain,
    ( c3_1(a596)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1387]) ).

fof(f1389,plain,
    ( ~ c3_1(a596)
    | spl0_178 ),
    inference(avatar_component_clause,[],[f1387]) ).

fof(f1394,plain,
    ( c0_1(a596)
    | ~ c2_1(a596)
    | ~ spl0_8
    | spl0_178 ),
    inference(resolution,[],[f1389,f389]) ).

fof(f1397,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(resolution,[],[f407,f382]) ).

fof(f1412,plain,
    ( c3_1(a599)
    | c0_1(a599)
    | ~ spl0_13
    | spl0_71 ),
    inference(resolution,[],[f407,f687]) ).

fof(f1414,plain,
    ( c3_1(a596)
    | c0_1(a596)
    | ~ spl0_13
    | spl0_65 ),
    inference(resolution,[],[f407,f657]) ).

fof(f1417,plain,
    ( c3_1(a598)
    | c0_1(a598)
    | ~ spl0_13
    | spl0_69 ),
    inference(resolution,[],[f407,f677]) ).

fof(f1418,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f1397]) ).

fof(f1421,definition,
    ( spl0_179
  <=> c3_1(a598) ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

fof(f1423,plain,
    ( c3_1(a598)
    | ~ spl0_179 ),
    inference(avatar_component_clause,[],[f1421]) ).

fof(f1424,plain,
    ( spl0_70
    | spl0_179
    | ~ spl0_13
    | spl0_69 ),
    inference(avatar_split_clause,[],[f1417,f675,f406,f1421,f680]) ).

fof(f1425,plain,
    ( spl0_66
    | spl0_178
    | ~ spl0_13
    | spl0_65 ),
    inference(avatar_split_clause,[],[f1414,f655,f406,f1387,f660]) ).

fof(f1427,plain,
    ( spl0_171
    | spl0_118
    | ~ spl0_13
    | spl0_71 ),
    inference(avatar_split_clause,[],[f1412,f685,f406,f918,f1311]) ).

fof(f1434,definition,
    ( spl0_180
  <=> c3_1(a615) ),
    introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).

fof(f1436,plain,
    ( c3_1(a615)
    | ~ spl0_180 ),
    inference(avatar_component_clause,[],[f1434]) ).

fof(f1477,definition,
    ( spl0_183
  <=> c2_1(a618) ),
    introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).

fof(f1482,plain,
    ( ~ spl0_115
    | spl0_66
    | ~ spl0_8
    | spl0_178 ),
    inference(avatar_split_clause,[],[f1394,f1387,f388,f660,f903]) ).

fof(f1486,plain,
    ( ~ c3_1(a614)
    | c2_1(a614)
    | ~ spl0_1
    | ~ spl0_130 ),
    inference(resolution,[],[f980,f365]) ).

fof(f1491,plain,
    ( c0_1(a595)
    | c3_1(a595)
    | ~ spl0_6
    | ~ spl0_150 ),
    inference(resolution,[],[f1080,f382]) ).

fof(f1504,plain,
    ( c0_1(a595)
    | ~ c2_1(a595)
    | ~ spl0_8
    | spl0_148 ),
    inference(resolution,[],[f389,f1070]) ).

fof(f1519,plain,
    ( c0_1(a602)
    | ~ c2_1(a602)
    | ~ spl0_8
    | spl0_121 ),
    inference(resolution,[],[f389,f935]) ).

fof(f1521,plain,
    ( c0_1(a599)
    | ~ c2_1(a599)
    | ~ spl0_8
    | spl0_118 ),
    inference(resolution,[],[f389,f920]) ).

fof(f1527,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(resolution,[],[f414,f400]) ).

fof(f1529,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_1
    | ~ spl0_15 ),
    inference(resolution,[],[f414,f365]) ).

fof(f1533,plain,
    ( c2_1(a625)
    | c0_1(a625)
    | ~ spl0_15
    | spl0_91 ),
    inference(resolution,[],[f414,f787]) ).

fof(f1541,plain,
    ( c2_1(a600)
    | c0_1(a600)
    | ~ spl0_15
    | spl0_73 ),
    inference(resolution,[],[f414,f697]) ).

fof(f1547,plain,
    ( c2_1(a598)
    | c0_1(a598)
    | ~ spl0_15
    | spl0_69 ),
    inference(resolution,[],[f414,f677]) ).

fof(f1548,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_1
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f1529]) ).

fof(f1550,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f1527]) ).

fof(f1561,plain,
    ( spl0_172
    | spl0_72
    | ~ spl0_15
    | spl0_73 ),
    inference(avatar_split_clause,[],[f1541,f695,f413,f690,f1316]) ).

fof(f1567,plain,
    ( spl0_92
    | spl0_167
    | ~ spl0_15
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1533,f785,f413,f1269,f790]) ).

fof(f1583,plain,
    ( ~ c2_1(a609)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_81 ),
    inference(resolution,[],[f737,f1379]) ).

fof(f1584,plain,
    ( ~ spl0_129
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1583,f735,f402,f395,f973]) ).

fof(f1594,plain,
    ( ~ c3_1(a604)
    | ~ c2_1(a604)
    | ~ spl0_10
    | ~ spl0_125 ),
    inference(resolution,[],[f396,f955]) ).

fof(f1599,plain,
    ( c0_1(a614)
    | c2_1(a614)
    | ~ spl0_16
    | ~ spl0_83 ),
    inference(resolution,[],[f418,f747]) ).

fof(f1602,plain,
    ( c0_1(a667)
    | c2_1(a667)
    | ~ spl0_16
    | ~ spl0_105 ),
    inference(resolution,[],[f418,f856]) ).

fof(f1618,plain,
    ( ~ c3_1(a597)
    | ~ c2_1(a597)
    | ~ spl0_10
    | ~ spl0_117 ),
    inference(resolution,[],[f915,f396]) ).

fof(f1627,plain,
    ( ~ c0_1(a619)
    | c2_1(a619)
    | ~ spl0_17
    | ~ spl0_86 ),
    inference(resolution,[],[f421,f762]) ).

fof(f1651,plain,
    ( ~ c2_1(a637)
    | ~ c0_1(a637)
    | ~ spl0_2
    | ~ spl0_155 ),
    inference(resolution,[],[f368,f1105]) ).

fof(f1652,plain,
    ( ~ c2_1(a595)
    | ~ c0_1(a595)
    | ~ spl0_2
    | ~ spl0_150 ),
    inference(resolution,[],[f368,f1080]) ).

fof(f1698,plain,
    ( c2_1(a618)
    | ~ c0_1(a618)
    | ~ spl0_14
    | spl0_151 ),
    inference(resolution,[],[f410,f1085]) ).

fof(f1701,plain,
    ( c2_1(a651)
    | ~ c0_1(a651)
    | ~ spl0_14
    | spl0_144 ),
    inference(resolution,[],[f410,f1050]) ).

fof(f1704,plain,
    ( c2_1(a630)
    | ~ c0_1(a630)
    | ~ spl0_14
    | spl0_139 ),
    inference(resolution,[],[f410,f1025]) ).

fof(f1726,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(resolution,[],[f421,f410]) ).

fof(f1728,plain,
    ( ~ c0_1(a614)
    | c2_1(a614)
    | ~ spl0_17
    | ~ spl0_83 ),
    inference(resolution,[],[f421,f747]) ).

fof(f1729,plain,
    ( ~ c0_1(a603)
    | c2_1(a603)
    | ~ spl0_17
    | ~ spl0_173 ),
    inference(resolution,[],[f421,f1323]) ).

fof(f1731,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(duplicate_literal_removal,[],[f1726]) ).

fof(f1745,plain,
    ( ~ c0_1(a603)
    | ~ spl0_14
    | ~ spl0_17
    | spl0_75 ),
    inference(resolution,[],[f1731,f707]) ).

fof(f1754,plain,
    ( ~ spl0_123
    | ~ spl0_14
    | ~ spl0_17
    | spl0_75 ),
    inference(avatar_split_clause,[],[f1745,f705,f420,f409,f943]) ).

fof(f1773,plain,
    ( ~ c3_1(a594)
    | ~ c0_1(a594)
    | ~ spl0_19
    | ~ spl0_113 ),
    inference(resolution,[],[f428,f895]) ).

fof(f1777,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_1
    | ~ spl0_20 ),
    inference(resolution,[],[f432,f365]) ).

fof(f1796,plain,
    ( ~ c3_1(a598)
    | c0_1(a598)
    | ~ spl0_20
    | spl0_69 ),
    inference(resolution,[],[f432,f677]) ).

fof(f1800,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_1
    | ~ spl0_20 ),
    inference(duplicate_literal_removal,[],[f1777]) ).

fof(f1806,plain,
    ( spl0_16
    | ~ spl0_1
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f1800,f431,f364,f417]) ).

fof(f1808,plain,
    ( ~ spl0_156
    | ~ spl0_154
    | ~ spl0_2
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1651,f1103,f367,f1098,f1108]) ).

fof(f1810,plain,
    ( ~ spl0_159
    | ~ spl0_160
    | ~ spl0_4
    | spl0_157 ),
    inference(avatar_split_clause,[],[f1179,f1113,f374,f1127,f1122]) ).

fof(f1818,plain,
    ( ~ spl0_114
    | ~ spl0_64
    | ~ spl0_19
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1773,f893,f427,f650,f898]) ).

fof(f1838,plain,
    ( spl0_144
    | spl0_164
    | ~ spl0_6
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1224,f1053,f381,f1230,f1048]) ).

fof(f1842,plain,
    ( ~ spl0_176
    | ~ spl0_149
    | ~ spl0_2
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1652,f1078,f367,f1073,f1336]) ).

fof(f1847,plain,
    ( ~ spl0_124
    | spl0_162
    | ~ spl0_7
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1209,f953,f384,f1203,f948]) ).

fof(f1902,plain,
    ( c2_1(a656)
    | c0_1(a656)
    | ~ spl0_11
    | ~ spl0_147 ),
    inference(resolution,[],[f1065,f400]) ).

fof(f1913,plain,
    ( ~ c0_1(a618)
    | ~ c2_1(a618)
    | ~ spl0_4
    | spl0_151 ),
    inference(resolution,[],[f375,f1085]) ).

fof(f1941,plain,
    ( c0_1(a656)
    | ~ spl0_6
    | ~ spl0_13
    | spl0_146 ),
    inference(resolution,[],[f1418,f1060]) ).

fof(f1947,plain,
    ( c0_1(a625)
    | ~ spl0_6
    | ~ spl0_13
    | spl0_137 ),
    inference(resolution,[],[f1418,f1015]) ).

fof(f1965,plain,
    ( spl0_92
    | ~ spl0_6
    | ~ spl0_13
    | spl0_137 ),
    inference(avatar_split_clause,[],[f1947,f1013,f406,f381,f790]) ).

fof(f1968,plain,
    ( spl0_103
    | ~ spl0_6
    | ~ spl0_13
    | spl0_146 ),
    inference(avatar_split_clause,[],[f1941,f1058,f406,f381,f845]) ).

fof(f1970,plain,
    ( ~ c0_1(a627)
    | c2_1(a627)
    | ~ spl0_17
    | ~ spl0_93 ),
    inference(resolution,[],[f797,f421]) ).

fof(f1980,plain,
    ( c0_1(a645)
    | ~ spl0_11
    | ~ spl0_15
    | spl0_100 ),
    inference(resolution,[],[f1550,f832]) ).

fof(f2003,plain,
    ( spl0_101
    | ~ spl0_11
    | ~ spl0_15
    | spl0_100 ),
    inference(avatar_split_clause,[],[f1980,f830,f413,f399,f835]) ).

fof(f2121,plain,
    ( spl0_148
    | spl0_176
    | ~ spl0_6
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1491,f1078,f381,f1336,f1068]) ).

fof(f2126,plain,
    ( spl0_70
    | ~ spl0_179
    | ~ spl0_20
    | spl0_69 ),
    inference(avatar_split_clause,[],[f1796,f675,f431,f1421,f680]) ).

fof(f2128,plain,
    ( ~ spl0_149
    | ~ spl0_176
    | ~ spl0_4
    | spl0_148 ),
    inference(avatar_split_clause,[],[f1181,f1068,f374,f1336,f1073]) ).

fof(f2130,plain,
    ( ~ spl0_183
    | ~ spl0_153
    | ~ spl0_4
    | spl0_151 ),
    inference(avatar_split_clause,[],[f1913,f1083,f374,f1093,f1477]) ).

fof(f2137,plain,
    ( ~ spl0_149
    | spl0_176
    | ~ spl0_8
    | spl0_148 ),
    inference(avatar_split_clause,[],[f1504,f1068,f388,f1336,f1073]) ).

fof(f2152,plain,
    ( spl0_94
    | ~ spl0_138
    | ~ spl0_17
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1970,f795,f420,f1018,f800]) ).

fof(f2177,plain,
    ( ~ c2_1(a594)
    | ~ c0_1(a594)
    | ~ spl0_2
    | ~ spl0_113 ),
    inference(resolution,[],[f368,f895]) ).

fof(f2198,plain,
    ( spl0_84
    | ~ spl0_83
    | ~ spl0_1
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1486,f978,f364,f745,f750]) ).

fof(f2199,plain,
    ( spl0_16
    | ~ spl0_1
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1548,f413,f364,f417]) ).

fof(f2211,plain,
    ( spl0_84
    | spl0_175
    | ~ spl0_16
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1599,f745,f417,f1331,f750]) ).

fof(f2212,plain,
    ( spl0_177
    | spl0_107
    | ~ spl0_16
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1602,f854,f417,f864,f1381]) ).

fof(f2213,plain,
    ( ~ spl0_119
    | ~ spl0_171
    | ~ spl0_4
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1196,f918,f374,f1311,f923]) ).

fof(f2217,plain,
    ( spl0_141
    | ~ spl0_142
    | ~ spl0_9
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1288,f810,f392,f1038,f1033]) ).

fof(f2218,plain,
    ( spl0_180
    | ~ spl0_132
    | ~ spl0_9
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1292,f755,f392,f988,f1434]) ).

fof(f2268,plain,
    ( ~ spl0_129
    | ~ spl0_81
    | ~ spl0_12
    | spl0_82 ),
    inference(avatar_split_clause,[],[f1367,f740,f402,f735,f973]) ).

fof(f2284,plain,
    ( c0_1(a595)
    | ~ c2_1(a595)
    | ~ spl0_5
    | ~ spl0_150 ),
    inference(resolution,[],[f379,f1080]) ).

fof(f2285,plain,
    ( c0_1(a656)
    | ~ c2_1(a656)
    | ~ spl0_5
    | ~ spl0_147 ),
    inference(resolution,[],[f379,f1065]) ).

fof(f2296,plain,
    ( c0_1(a604)
    | ~ c2_1(a604)
    | ~ spl0_5
    | ~ spl0_125 ),
    inference(resolution,[],[f379,f955]) ).

fof(f2311,plain,
    ( ~ spl0_169
    | spl0_103
    | ~ spl0_5
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2285,f1063,f378,f845,f1279]) ).

fof(f2334,plain,
    ( c3_1(a595)
    | ~ c2_1(a595)
    | ~ spl0_7
    | ~ spl0_150 ),
    inference(resolution,[],[f385,f1080]) ).

fof(f2394,plain,
    ( c0_1(a644)
    | c2_1(a644)
    | ~ spl0_16
    | ~ spl0_97 ),
    inference(resolution,[],[f418,f817]) ).

fof(f2396,plain,
    ( spl0_98
    | spl0_99
    | ~ spl0_16
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f2394,f815,f417,f825,f820]) ).

fof(f2411,plain,
    ( ~ spl0_114
    | ~ spl0_161
    | ~ spl0_2
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f2177,f893,f367,f1175,f898]) ).

fof(f2459,plain,
    ( ~ c3_1(a608)
    | c0_1(a608)
    | ~ spl0_18
    | ~ spl0_128 ),
    inference(resolution,[],[f425,f970]) ).

fof(f2460,plain,
    ( ~ c3_1(a604)
    | c0_1(a604)
    | ~ spl0_18
    | ~ spl0_125 ),
    inference(resolution,[],[f425,f955]) ).

fof(f2480,plain,
    ( ~ spl0_164
    | spl0_102
    | ~ spl0_14
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1701,f1048,f409,f840,f1230]) ).

fof(f2495,plain,
    ( ~ spl0_149
    | spl0_148
    | ~ spl0_7
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2334,f1078,f384,f1068,f1073]) ).

fof(f2501,plain,
    ( spl0_103
    | spl0_169
    | ~ spl0_11
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1902,f1063,f399,f1279,f845]) ).

fof(f2527,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(resolution,[],[f407,f385]) ).

fof(f2533,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f2527]) ).

fof(f2535,plain,
    ( spl0_8
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f2533,f406,f384,f388]) ).

fof(f2569,plain,
    ( c0_1(a620)
    | c2_1(a620)
    | ~ spl0_16
    | ~ spl0_163 ),
    inference(resolution,[],[f418,f1221]) ).

fof(f2587,plain,
    ( c0_1(a598)
    | c2_1(a598)
    | ~ spl0_16
    | ~ spl0_179 ),
    inference(resolution,[],[f418,f1423]) ).

fof(f2590,plain,
    ( spl0_68
    | spl0_70
    | ~ spl0_16
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f2587,f1421,f417,f680,f670]) ).

fof(f2598,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(resolution,[],[f438,f375]) ).

fof(f2611,plain,
    ( ~ c0_1(a619)
    | ~ c2_1(a619)
    | ~ spl0_21
    | ~ spl0_86 ),
    inference(resolution,[],[f438,f762]) ).

fof(f2612,plain,
    ( ~ c0_1(a615)
    | ~ c2_1(a615)
    | ~ spl0_21
    | ~ spl0_180 ),
    inference(resolution,[],[f438,f1436]) ).

fof(f2616,plain,
    ( ~ c0_1(a605)
    | ~ c2_1(a605)
    | ~ spl0_21
    | ~ spl0_78 ),
    inference(resolution,[],[f438,f722]) ).

fof(f2628,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(duplicate_literal_removal,[],[f2598]) ).

fof(f2631,plain,
    ( ~ spl0_126
    | ~ spl0_127
    | ~ spl0_21
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f2616,f720,f437,f963,f958]) ).

fof(f2637,plain,
    ( ~ spl0_149
    | spl0_176
    | ~ spl0_5
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2284,f1078,f378,f1336,f1073]) ).

fof(f2639,plain,
    ( ~ spl0_124
    | spl0_77
    | ~ spl0_5
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2296,f953,f378,f715,f948]) ).

fof(f2645,plain,
    ( ~ spl0_124
    | ~ spl0_162
    | ~ spl0_10
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1594,f953,f395,f1203,f948]) ).

fof(f2646,plain,
    ( ~ spl0_116
    | ~ spl0_67
    | ~ spl0_10
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1618,f913,f395,f665,f908]) ).

fof(f2651,plain,
    ( ~ spl0_122
    | spl0_74
    | ~ spl0_8
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1519,f933,f388,f700,f938]) ).

fof(f2656,plain,
    ( spl0_88
    | spl0_89
    | ~ spl0_16
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f2569,f1220,f417,f775,f770]) ).

fof(f2689,plain,
    ( ~ c0_1(a595)
    | ~ spl0_4
    | ~ spl0_21
    | ~ spl0_149 ),
    inference(resolution,[],[f2628,f1075]) ).

fof(f2692,plain,
    ( ~ c0_1(a615)
    | ~ spl0_4
    | ~ spl0_21
    | ~ spl0_131 ),
    inference(resolution,[],[f2628,f985]) ).

fof(f2700,plain,
    ( ~ spl0_132
    | ~ spl0_4
    | ~ spl0_21
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2692,f983,f437,f374,f988]) ).

fof(f2701,plain,
    ( ~ spl0_176
    | ~ spl0_4
    | ~ spl0_21
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2689,f1073,f437,f374,f1336]) ).

fof(f2740,plain,
    ( c2_1(a618)
    | ~ c0_1(a618)
    | ~ spl0_25
    | ~ spl0_152 ),
    inference(resolution,[],[f456,f1090]) ).

fof(f2747,plain,
    ( c2_1(a614)
    | ~ c0_1(a614)
    | ~ spl0_25
    | ~ spl0_130 ),
    inference(resolution,[],[f456,f980]) ).

fof(f2752,plain,
    ( c2_1(a594)
    | ~ c0_1(a594)
    | ~ spl0_25
    | ~ spl0_113 ),
    inference(resolution,[],[f456,f895]) ).

fof(f2755,plain,
    ( ~ spl0_114
    | spl0_161
    | ~ spl0_25
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f2752,f893,f455,f1175,f898]) ).

fof(f2760,plain,
    ( ~ spl0_175
    | spl0_84
    | ~ spl0_25
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2747,f978,f455,f750,f1331]) ).

fof(f2763,plain,
    ( ~ spl0_153
    | spl0_183
    | ~ spl0_25
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2740,f1088,f455,f1477,f1093]) ).

fof(f2776,plain,
    ( spl0_70
    | spl0_68
    | ~ spl0_15
    | spl0_69 ),
    inference(avatar_split_clause,[],[f1547,f675,f413,f670,f680]) ).

fof(f2781,plain,
    ( spl0_77
    | ~ spl0_162
    | ~ spl0_18
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2460,f953,f424,f1203,f715]) ).

fof(f2784,plain,
    ( ~ spl0_119
    | spl0_171
    | ~ spl0_8
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1521,f918,f388,f1311,f923]) ).

fof(f2789,plain,
    ( ~ spl0_153
    | spl0_183
    | ~ spl0_14
    | spl0_151 ),
    inference(avatar_split_clause,[],[f1698,f1083,f409,f1477,f1093]) ).

fof(f2791,plain,
    ( ~ spl0_140
    | spl0_95
    | ~ spl0_14
    | spl0_139 ),
    inference(avatar_split_clause,[],[f1704,f1023,f409,f805,f1028]) ).

fof(f2863,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_9
    | ~ spl0_32 ),
    inference(resolution,[],[f488,f393]) ).

fof(f2873,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_9
    | ~ spl0_32 ),
    inference(duplicate_literal_removal,[],[f2863]) ).

fof(f2876,plain,
    ( ~ c0_1(a672)
    | ~ spl0_9
    | ~ spl0_32
    | spl0_157 ),
    inference(resolution,[],[f2873,f1115]) ).

fof(f2937,plain,
    ( ~ c2_1(a596)
    | c0_1(a596)
    | ~ spl0_38
    | ~ spl0_178 ),
    inference(resolution,[],[f518,f1388]) ).

fof(f2938,plain,
    ( ~ c2_1(a593)
    | c0_1(a593)
    | ~ spl0_38
    | ~ spl0_62 ),
    inference(resolution,[],[f518,f642]) ).

fof(f2940,plain,
    ( ~ c2_1(a667)
    | c0_1(a667)
    | ~ spl0_38
    | ~ spl0_105 ),
    inference(resolution,[],[f518,f856]) ).

fof(f2942,plain,
    ( spl0_107
    | ~ spl0_177
    | ~ spl0_38
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2940,f854,f517,f1381,f864]) ).

fof(f2943,plain,
    ( spl0_63
    | ~ spl0_112
    | ~ spl0_38
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f2938,f640,f517,f888,f645]) ).

fof(f2944,plain,
    ( spl0_66
    | ~ spl0_115
    | ~ spl0_38
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f2937,f1387,f517,f903,f660]) ).

fof(f2952,plain,
    ( c2_1(a651)
    | c3_1(a651)
    | ~ spl0_39
    | ~ spl0_145 ),
    inference(resolution,[],[f521,f1055]) ).

fof(f2955,plain,
    ( c2_1(a620)
    | c3_1(a620)
    | ~ spl0_39
    | ~ spl0_134 ),
    inference(resolution,[],[f521,f1000]) ).

fof(f2966,plain,
    ( spl0_144
    | spl0_102
    | ~ spl0_39
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2952,f1053,f520,f840,f1048]) ).

fof(f2989,plain,
    ( ~ c2_1(a596)
    | c0_1(a596)
    | ~ spl0_43
    | spl0_65 ),
    inference(resolution,[],[f540,f657]) ).

fof(f2996,plain,
    ( spl0_66
    | ~ spl0_115
    | ~ spl0_43
    | spl0_65 ),
    inference(avatar_split_clause,[],[f2989,f655,f539,f903,f660]) ).

fof(f3004,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_25
    | ~ spl0_45 ),
    inference(resolution,[],[f548,f456]) ).

fof(f3021,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_25
    | ~ spl0_45 ),
    inference(duplicate_literal_removal,[],[f3004]) ).

fof(f3031,plain,
    ( spl0_17
    | ~ spl0_25
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f3021,f547,f455,f420]) ).

fof(f3032,plain,
    ( spl0_80
    | ~ spl0_79
    | ~ spl0_18
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2459,f968,f424,f725,f730]) ).

fof(f3037,plain,
    ( spl0_163
    | spl0_89
    | ~ spl0_6
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1225,f998,f381,f775,f1220]) ).

fof(f3038,plain,
    ( spl0_162
    | spl0_77
    | ~ spl0_6
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1226,f953,f381,f715,f1203]) ).

fof(f3041,plain,
    ( spl0_89
    | spl0_88
    | ~ spl0_11
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1352,f998,f399,f770,f775]) ).

fof(f3048,plain,
    ( spl0_166
    | ~ spl0_133
    | ~ spl0_17
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1627,f760,f420,f993,f1264]) ).

fof(f3051,plain,
    ( spl0_84
    | ~ spl0_175
    | ~ spl0_17
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1728,f745,f420,f1331,f750]) ).

fof(f3052,plain,
    ( spl0_75
    | ~ spl0_123
    | ~ spl0_17
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1729,f1321,f420,f943,f705]) ).

fof(f3062,plain,
    ( spl0_163
    | spl0_88
    | ~ spl0_39
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2955,f998,f520,f770,f1220]) ).

fof(f3075,plain,
    ( ~ spl0_166
    | ~ spl0_133
    | ~ spl0_21
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f2611,f760,f437,f993,f1264]) ).

fof(f3076,plain,
    ( ~ spl0_160
    | ~ spl0_9
    | ~ spl0_32
    | spl0_157 ),
    inference(avatar_split_clause,[],[f2876,f1113,f487,f392,f1127]) ).

fof(f3082,plain,
    ( ~ spl0_131
    | ~ spl0_132
    | ~ spl0_21
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f2612,f1434,f437,f988,f983]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f376]) ).

cnf(s2,plain,
    ( spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f386]) ).

cnf(s3,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_8 ),
    inference(sat_conversion,[],[f390]) ).

cnf(s4,plain,
    ( spl0_1
    | spl0_3
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f397]) ).

cnf(s6,plain,
    ( spl0_3
    | spl0_8
    | spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f411]) ).

cnf(s7,plain,
    ( spl0_2
    | spl0_3
    | spl0_10
    | spl0_15 ),
    inference(sat_conversion,[],[f415]) ).

cnf(s11,plain,
    ( spl0_3
    | spl0_8
    | spl0_13
    | spl0_16 ),
    inference(sat_conversion,[],[f434]) ).

cnf(s12,plain,
    ( spl0_3
    | spl0_14
    | spl0_15
    | spl0_17 ),
    inference(sat_conversion,[],[f435]) ).

cnf(s13,plain,
    ( spl0_3
    | spl0_13
    | spl0_15
    | spl0_21 ),
    inference(sat_conversion,[],[f439]) ).

cnf(s15,plain,
    ( spl0_3
    | spl0_4
    | spl0_19
    | ~ spl0_23 ),
    inference(sat_conversion,[],[f449]) ).

cnf(s16,plain,
    ( spl0_2
    | spl0_3
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f457]) ).

cnf(s17,plain,
    ( spl0_2
    | spl0_3
    | spl0_8
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f462]) ).

cnf(s18,plain,
    ( spl0_2
    | spl0_3
    | spl0_6
    | spl0_27 ),
    inference(sat_conversion,[],[f467]) ).

cnf(s19,plain,
    ( spl0_3
    | spl0_4
    | spl0_17
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s22,plain,
    ( spl0_3
    | spl0_12
    | spl0_24
    | spl0_32 ),
    inference(sat_conversion,[],[f489]) ).

cnf(s23,plain,
    ( spl0_3
    | spl0_5
    | spl0_14
    | ~ spl0_33 ),
    inference(sat_conversion,[],[f494]) ).

cnf(s24,plain,
    ( spl0_3
    | spl0_7
    | spl0_11
    | ~ spl0_34 ),
    inference(sat_conversion,[],[f499]) ).

cnf(s25,plain,
    ( spl0_3
    | spl0_4
    | spl0_11
    | ~ spl0_35 ),
    inference(sat_conversion,[],[f504]) ).

cnf(s26,plain,
    ( spl0_3
    | spl0_15
    | spl0_16
    | spl0_20 ),
    inference(sat_conversion,[],[f505]) ).

cnf(s27,plain,
    ( spl0_3
    | spl0_17
    | spl0_25
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f506]) ).

cnf(s28,plain,
    ( spl0_3
    | spl0_9
    | spl0_17
    | spl0_36 ),
    inference(sat_conversion,[],[f511]) ).

cnf(s31,plain,
    ( spl0_3
    | spl0_18
    | spl0_39
    | ~ spl0_40 ),
    inference(sat_conversion,[],[f527]) ).

cnf(s32,plain,
    ( spl0_3
    | spl0_9
    | spl0_18
    | spl0_41 ),
    inference(sat_conversion,[],[f532]) ).

cnf(s33,plain,
    ( spl0_2
    | spl0_3
    | spl0_16
    | spl0_42 ),
    inference(sat_conversion,[],[f537]) ).

cnf(s34,plain,
    ( spl0_3
    | spl0_9
    | spl0_41
    | spl0_43 ),
    inference(sat_conversion,[],[f541]) ).

cnf(s35,plain,
    ( spl0_3
    | spl0_38
    | ~ spl0_44
    | spl0_45 ),
    inference(sat_conversion,[],[f549]) ).

cnf(s37,plain,
    ( spl0_3
    | spl0_15
    | spl0_21
    | spl0_47 ),
    inference(sat_conversion,[],[f559]) ).

cnf(s39,plain,
    ( spl0_3
    | spl0_7
    | spl0_24
    | spl0_48 ),
    inference(sat_conversion,[],[f565]) ).

cnf(s41,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_26
    | spl0_50 ),
    inference(sat_conversion,[],[f575]) ).

cnf(s42,plain,
    ( spl0_3
    | spl0_10
    | spl0_47
    | ~ spl0_51 ),
    inference(sat_conversion,[],[f580]) ).

cnf(s43,plain,
    ( spl0_3
    | spl0_21
    | ~ spl0_40
    | ~ spl0_52 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s46,plain,
    ( spl0_3
    | spl0_14
    | ~ spl0_51
    | ~ spl0_54 ),
    inference(sat_conversion,[],[f596]) ).

cnf(s47,plain,
    ( spl0_3
    | spl0_25
    | ~ spl0_51
    | ~ spl0_52 ),
    inference(sat_conversion,[],[f597]) ).

cnf(s51,plain,
    ( spl0_3
    | spl0_8
    | spl0_50
    | spl0_56 ),
    inference(sat_conversion,[],[f608]) ).

cnf(s52,plain,
    ( spl0_3
    | spl0_6
    | spl0_27
    | spl0_46 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s53,plain,
    ( spl0_3
    | spl0_21
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f614]) ).

cnf(s56,plain,
    ( spl0_3
    | spl0_12
    | spl0_42
    | spl0_58 ),
    inference(sat_conversion,[],[f621]) ).

cnf(s58,plain,
    ( spl0_3
    | spl0_38
    | ~ spl0_40
    | spl0_42 ),
    inference(sat_conversion,[],[f626]) ).

cnf(s59,plain,
    ( spl0_3
    | ~ spl0_34
    | spl0_38
    | spl0_48 ),
    inference(sat_conversion,[],[f627]) ).

cnf(s60,plain,
    ( spl0_3
    | spl0_13
    | spl0_48
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s61,plain,
    ( spl0_3
    | spl0_43
    | ~ spl0_52
    | spl0_60 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s64,plain,
    ( ~ spl0_47
    | spl0_62 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s65,plain,
    ( ~ spl0_47
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f648]) ).

cnf(s66,plain,
    ( ~ spl0_41
    | spl0_64 ),
    inference(sat_conversion,[],[f653]) ).

cnf(s67,plain,
    ( spl0_49
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f658]) ).

cnf(s68,plain,
    ( spl0_49
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f663]) ).

cnf(s69,plain,
    ( ~ spl0_60
    | spl0_67 ),
    inference(sat_conversion,[],[f668]) ).

cnf(s70,plain,
    ( spl0_52
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f673]) ).

cnf(s71,plain,
    ( spl0_52
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f678]) ).

cnf(s72,plain,
    ( spl0_52
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f683]) ).

cnf(s73,plain,
    ( ~ spl0_48
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f688]) ).

cnf(s74,plain,
    ( spl0_53
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f693]) ).

cnf(s75,plain,
    ( spl0_53
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f698]) ).

cnf(s76,plain,
    ( ~ spl0_42
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s77,plain,
    ( ~ spl0_46
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f708]) ).

cnf(s78,plain,
    ( ~ spl0_46
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f713]) ).

cnf(s79,plain,
    ( spl0_35
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f718]) ).

cnf(s80,plain,
    ( spl0_34
    | spl0_78 ),
    inference(sat_conversion,[],[f723]) ).

cnf(s81,plain,
    ( spl0_44
    | spl0_79 ),
    inference(sat_conversion,[],[f728]) ).

cnf(s82,plain,
    ( spl0_44
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f733]) ).

cnf(s83,plain,
    ( ~ spl0_30
    | spl0_81 ),
    inference(sat_conversion,[],[f738]) ).

cnf(s84,plain,
    ( ~ spl0_30
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f743]) ).

cnf(s85,plain,
    ( spl0_33
    | spl0_83 ),
    inference(sat_conversion,[],[f748]) ).

cnf(s86,plain,
    ( spl0_33
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f753]) ).

cnf(s87,plain,
    ( ~ spl0_27
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f758]) ).

cnf(s88,plain,
    ( ~ spl0_56
    | spl0_86 ),
    inference(sat_conversion,[],[f763]) ).

cnf(s90,plain,
    ( ~ spl0_50
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f773]) ).

cnf(s91,plain,
    ( ~ spl0_50
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f778]) ).

cnf(s93,plain,
    ( ~ spl0_24
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f788]) ).

cnf(s94,plain,
    ( ~ spl0_24
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f793]) ).

cnf(s95,plain,
    ( ~ spl0_58
    | spl0_93 ),
    inference(sat_conversion,[],[f798]) ).

cnf(s96,plain,
    ( ~ spl0_58
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f803]) ).

cnf(s97,plain,
    ( ~ spl0_36
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f808]) ).

cnf(s98,plain,
    ( ~ spl0_29
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f813]) ).

cnf(s99,plain,
    ( spl0_51
    | spl0_97 ),
    inference(sat_conversion,[],[f818]) ).

cnf(s100,plain,
    ( spl0_51
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f823]) ).

cnf(s101,plain,
    ( spl0_51
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f828]) ).

cnf(s102,plain,
    ( spl0_54
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f833]) ).

cnf(s103,plain,
    ( spl0_54
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f838]) ).

cnf(s104,plain,
    ( spl0_23
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f843]) ).

cnf(s105,plain,
    ( spl0_57
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f848]) ).

cnf(s106,plain,
    ( ~ spl0_104
    | spl0_105 ),
    inference(sat_conversion,[],[f857]) ).

cnf(s108,plain,
    ( ~ spl0_104
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f867]) ).

cnf(s112,plain,
    ( ~ spl0_47
    | spl0_112 ),
    inference(sat_conversion,[],[f891]) ).

cnf(s113,plain,
    ( ~ spl0_41
    | spl0_113 ),
    inference(sat_conversion,[],[f896]) ).

cnf(s114,plain,
    ( ~ spl0_41
    | spl0_114 ),
    inference(sat_conversion,[],[f901]) ).

cnf(s115,plain,
    ( spl0_49
    | spl0_115 ),
    inference(sat_conversion,[],[f906]) ).

cnf(s116,plain,
    ( ~ spl0_60
    | spl0_116 ),
    inference(sat_conversion,[],[f911]) ).

cnf(s117,plain,
    ( ~ spl0_60
    | spl0_117 ),
    inference(sat_conversion,[],[f916]) ).

cnf(s118,plain,
    ( ~ spl0_48
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f921]) ).

cnf(s119,plain,
    ( ~ spl0_48
    | spl0_119 ),
    inference(sat_conversion,[],[f926]) ).

cnf(s120,plain,
    ( spl0_53
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f931]) ).

cnf(s121,plain,
    ( ~ spl0_42
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f936]) ).

cnf(s122,plain,
    ( ~ spl0_42
    | spl0_122 ),
    inference(sat_conversion,[],[f941]) ).

cnf(s123,plain,
    ( ~ spl0_46
    | spl0_123 ),
    inference(sat_conversion,[],[f946]) ).

cnf(s124,plain,
    ( spl0_35
    | spl0_124 ),
    inference(sat_conversion,[],[f951]) ).

cnf(s125,plain,
    ( spl0_35
    | spl0_125 ),
    inference(sat_conversion,[],[f956]) ).

cnf(s126,plain,
    ( spl0_34
    | spl0_126 ),
    inference(sat_conversion,[],[f961]) ).

cnf(s127,plain,
    ( spl0_34
    | spl0_127 ),
    inference(sat_conversion,[],[f966]) ).

cnf(s128,plain,
    ( spl0_44
    | spl0_128 ),
    inference(sat_conversion,[],[f971]) ).

cnf(s129,plain,
    ( ~ spl0_30
    | spl0_129 ),
    inference(sat_conversion,[],[f976]) ).

cnf(s130,plain,
    ( spl0_33
    | spl0_130 ),
    inference(sat_conversion,[],[f981]) ).

cnf(s131,plain,
    ( ~ spl0_27
    | spl0_131 ),
    inference(sat_conversion,[],[f986]) ).

cnf(s132,plain,
    ( ~ spl0_27
    | spl0_132 ),
    inference(sat_conversion,[],[f991]) ).

cnf(s133,plain,
    ( ~ spl0_56
    | spl0_133 ),
    inference(sat_conversion,[],[f996]) ).

cnf(s134,plain,
    ( ~ spl0_50
    | spl0_134 ),
    inference(sat_conversion,[],[f1001]) ).

cnf(s137,plain,
    ( ~ spl0_24
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1016]) ).

cnf(s138,plain,
    ( ~ spl0_58
    | spl0_138 ),
    inference(sat_conversion,[],[f1021]) ).

cnf(s139,plain,
    ( ~ spl0_36
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1026]) ).

cnf(s140,plain,
    ( ~ spl0_36
    | spl0_140 ),
    inference(sat_conversion,[],[f1031]) ).

cnf(s141,plain,
    ( ~ spl0_29
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f1036]) ).

cnf(s142,plain,
    ( ~ spl0_29
    | spl0_142 ),
    inference(sat_conversion,[],[f1041]) ).

cnf(s144,plain,
    ( spl0_23
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1051]) ).

cnf(s145,plain,
    ( spl0_23
    | spl0_145 ),
    inference(sat_conversion,[],[f1056]) ).

cnf(s146,plain,
    ( spl0_57
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1061]) ).

cnf(s147,plain,
    ( spl0_57
    | spl0_147 ),
    inference(sat_conversion,[],[f1066]) ).

cnf(s148,plain,
    ( spl0_40
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1071]) ).

cnf(s149,plain,
    ( spl0_40
    | spl0_149 ),
    inference(sat_conversion,[],[f1076]) ).

cnf(s150,plain,
    ( spl0_40
    | spl0_150 ),
    inference(sat_conversion,[],[f1081]) ).

cnf(s151,plain,
    ( spl0_26
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1086]) ).

cnf(s152,plain,
    ( spl0_26
    | spl0_152 ),
    inference(sat_conversion,[],[f1091]) ).

cnf(s153,plain,
    ( spl0_26
    | spl0_153 ),
    inference(sat_conversion,[],[f1096]) ).

cnf(s154,plain,
    ( spl0_28
    | spl0_154 ),
    inference(sat_conversion,[],[f1101]) ).

cnf(s155,plain,
    ( spl0_28
    | spl0_155 ),
    inference(sat_conversion,[],[f1106]) ).

cnf(s156,plain,
    ( spl0_28
    | spl0_156 ),
    inference(sat_conversion,[],[f1111]) ).

cnf(s157,plain,
    ( ~ spl0_157
    | spl0_158 ),
    inference(sat_conversion,[],[f1120]) ).

cnf(s158,plain,
    ( spl0_158
    | spl0_159 ),
    inference(sat_conversion,[],[f1125]) ).

cnf(s159,plain,
    ( spl0_158
    | spl0_160 ),
    inference(sat_conversion,[],[f1130]) ).

cnf(s161,plain,
    ( spl0_24
    | spl0_30
    | ~ spl0_34 ),
    inference(sat_conversion,[],[f1132]) ).

cnf(s162,plain,
    ( spl0_30
    | ~ spl0_34
    | ~ spl0_35 ),
    inference(sat_conversion,[],[f1133]) ).

cnf(s163,plain,
    ( ~ spl0_34
    | ~ spl0_40
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1134]) ).

cnf(s164,plain,
    ( spl0_29
    | spl0_41
    | ~ spl0_52 ),
    inference(sat_conversion,[],[f1135]) ).

cnf(s165,plain,
    ( ~ spl0_23
    | spl0_41
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1136]) ).

cnf(s167,plain,
    ( ~ spl0_28
    | spl0_60
    | spl0_104 ),
    inference(sat_conversion,[],[f1138]) ).

cnf(s169,plain,
    ( ~ spl0_3
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f1140]) ).

cnf(s192,plain,
    ( ~ spl0_3
    | spl0_23 ),
    inference(sat_conversion,[],[f1163]) ).

cnf(s199,plain,
    ( ~ spl0_3
    | spl0_158 ),
    inference(sat_conversion,[],[f1170]) ).

cnf(s200,plain,
    ( ~ spl0_23
    | ~ spl0_35 ),
    inference(sat_conversion,[],[f1171]) ).

cnf(s208,plain,
    ( ~ spl0_1
    | spl0_88
    | ~ spl0_134
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1223]) ).

cnf(s213,plain,
    ( ~ spl0_8
    | spl0_92
    | spl0_137
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1272]) ).

cnf(s217,plain,
    ( ~ spl0_9
    | spl0_71
    | spl0_118
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1314]) ).

cnf(s218,plain,
    ( ~ spl0_9
    | spl0_73
    | spl0_120
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1319]) ).

cnf(s219,plain,
    ( ~ spl0_9
    | spl0_76
    | ~ spl0_123
    | spl0_173 ),
    inference(sat_conversion,[],[f1324]) ).

cnf(s228,plain,
    ( ~ spl0_13
    | spl0_69
    | spl0_70
    | spl0_179 ),
    inference(sat_conversion,[],[f1424]) ).

cnf(s229,plain,
    ( ~ spl0_13
    | spl0_65
    | spl0_66
    | spl0_178 ),
    inference(sat_conversion,[],[f1425]) ).

cnf(s231,plain,
    ( ~ spl0_13
    | spl0_71
    | spl0_118
    | spl0_171 ),
    inference(sat_conversion,[],[f1427]) ).

cnf(s248,plain,
    ( ~ spl0_8
    | spl0_66
    | ~ spl0_115
    | spl0_178 ),
    inference(sat_conversion,[],[f1482]) ).

cnf(s257,plain,
    ( ~ spl0_15
    | spl0_72
    | spl0_73
    | spl0_172 ),
    inference(sat_conversion,[],[f1561]) ).

cnf(s263,plain,
    ( ~ spl0_15
    | spl0_91
    | spl0_92
    | spl0_167 ),
    inference(sat_conversion,[],[f1567]) ).

cnf(s269,plain,
    ( ~ spl0_10
    | ~ spl0_12
    | ~ spl0_81
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f1584]) ).

cnf(s307,plain,
    ( ~ spl0_14
    | ~ spl0_17
    | spl0_75
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f1754]) ).

cnf(s311,plain,
    ( ~ spl0_1
    | spl0_16
    | ~ spl0_20 ),
    inference(sat_conversion,[],[f1806]) ).

cnf(s313,plain,
    ( ~ spl0_2
    | ~ spl0_154
    | ~ spl0_155
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1808]) ).

cnf(s315,plain,
    ( ~ spl0_4
    | spl0_157
    | ~ spl0_159
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1810]) ).

cnf(s323,plain,
    ( ~ spl0_19
    | ~ spl0_64
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f1818]) ).

cnf(s343,plain,
    ( ~ spl0_6
    | spl0_144
    | ~ spl0_145
    | spl0_164 ),
    inference(sat_conversion,[],[f1838]) ).

cnf(s347,plain,
    ( ~ spl0_2
    | ~ spl0_149
    | ~ spl0_150
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f1842]) ).

cnf(s352,plain,
    ( ~ spl0_7
    | ~ spl0_124
    | ~ spl0_125
    | spl0_162 ),
    inference(sat_conversion,[],[f1847]) ).

cnf(s392,plain,
    ( ~ spl0_6
    | ~ spl0_13
    | spl0_92
    | spl0_137 ),
    inference(sat_conversion,[],[f1965]) ).

cnf(s395,plain,
    ( ~ spl0_6
    | ~ spl0_13
    | spl0_103
    | spl0_146 ),
    inference(sat_conversion,[],[f1968]) ).

cnf(s401,plain,
    ( ~ spl0_11
    | ~ spl0_15
    | spl0_100
    | spl0_101 ),
    inference(sat_conversion,[],[f2003]) ).

cnf(s480,plain,
    ( ~ spl0_6
    | spl0_148
    | ~ spl0_150
    | spl0_176 ),
    inference(sat_conversion,[],[f2121]) ).

cnf(s485,plain,
    ( ~ spl0_20
    | spl0_69
    | spl0_70
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f2126]) ).

cnf(s487,plain,
    ( ~ spl0_4
    | spl0_148
    | ~ spl0_149
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2128]) ).

cnf(s489,plain,
    ( ~ spl0_4
    | spl0_151
    | ~ spl0_153
    | ~ spl0_183 ),
    inference(sat_conversion,[],[f2130]) ).

cnf(s496,plain,
    ( ~ spl0_8
    | spl0_148
    | ~ spl0_149
    | spl0_176 ),
    inference(sat_conversion,[],[f2137]) ).

cnf(s511,plain,
    ( ~ spl0_17
    | ~ spl0_93
    | spl0_94
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f2152]) ).

cnf(s522,plain,
    ( ~ spl0_1
    | ~ spl0_83
    | spl0_84
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f2198]) ).

cnf(s523,plain,
    ( ~ spl0_1
    | ~ spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f2199]) ).

cnf(s535,plain,
    ( ~ spl0_16
    | ~ spl0_83
    | spl0_84
    | spl0_175 ),
    inference(sat_conversion,[],[f2211]) ).

cnf(s536,plain,
    ( ~ spl0_16
    | ~ spl0_105
    | spl0_107
    | spl0_177 ),
    inference(sat_conversion,[],[f2212]) ).

cnf(s538,plain,
    ( ~ spl0_4
    | spl0_118
    | ~ spl0_119
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f2213]) ).

cnf(s542,plain,
    ( ~ spl0_9
    | spl0_96
    | spl0_141
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f2217]) ).

cnf(s543,plain,
    ( ~ spl0_9
    | spl0_85
    | ~ spl0_132
    | spl0_180 ),
    inference(sat_conversion,[],[f2218]) ).

cnf(s559,plain,
    ( ~ spl0_12
    | ~ spl0_81
    | spl0_82
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f2268]) ).

cnf(s565,plain,
    ( ~ spl0_5
    | spl0_103
    | ~ spl0_147
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f2311]) ).

cnf(s577,plain,
    ( ~ spl0_16
    | ~ spl0_97
    | spl0_98
    | spl0_99 ),
    inference(sat_conversion,[],[f2396]) ).

cnf(s592,plain,
    ( ~ spl0_2
    | ~ spl0_113
    | ~ spl0_114
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2411]) ).

cnf(s607,plain,
    ( ~ spl0_14
    | spl0_102
    | spl0_144
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2480]) ).

cnf(s622,plain,
    ( ~ spl0_7
    | spl0_148
    | ~ spl0_149
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f2495]) ).

cnf(s628,plain,
    ( ~ spl0_11
    | spl0_103
    | ~ spl0_147
    | spl0_169 ),
    inference(sat_conversion,[],[f2501]) ).

cnf(s630,plain,
    ( ~ spl0_7
    | spl0_8
    | ~ spl0_13 ),
    inference(sat_conversion,[],[f2535]) ).

cnf(s639,plain,
    ( ~ spl0_16
    | spl0_68
    | spl0_70
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f2590]) ).

cnf(s640,plain,
    ( ~ spl0_21
    | ~ spl0_78
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f2631]) ).

cnf(s646,plain,
    ( ~ spl0_5
    | ~ spl0_149
    | ~ spl0_150
    | spl0_176 ),
    inference(sat_conversion,[],[f2637]) ).

cnf(s648,plain,
    ( ~ spl0_5
    | spl0_77
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f2639]) ).

cnf(s654,plain,
    ( ~ spl0_10
    | ~ spl0_124
    | ~ spl0_125
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2645]) ).

cnf(s655,plain,
    ( ~ spl0_10
    | ~ spl0_67
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f2646]) ).

cnf(s660,plain,
    ( ~ spl0_8
    | spl0_74
    | spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f2651]) ).

cnf(s665,plain,
    ( ~ spl0_16
    | spl0_88
    | spl0_89
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2656]) ).

cnf(s669,plain,
    ( ~ spl0_4
    | ~ spl0_21
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f2700]) ).

cnf(s670,plain,
    ( ~ spl0_4
    | ~ spl0_21
    | ~ spl0_149
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2701]) ).

cnf(s671,plain,
    ( ~ spl0_25
    | ~ spl0_113
    | ~ spl0_114
    | spl0_161 ),
    inference(sat_conversion,[],[f2755]) ).

cnf(s676,plain,
    ( ~ spl0_25
    | spl0_84
    | ~ spl0_130
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f2760]) ).

cnf(s679,plain,
    ( ~ spl0_25
    | ~ spl0_152
    | ~ spl0_153
    | spl0_183 ),
    inference(sat_conversion,[],[f2763]) ).

cnf(s692,plain,
    ( ~ spl0_15
    | spl0_68
    | spl0_69
    | spl0_70 ),
    inference(sat_conversion,[],[f2776]) ).

cnf(s697,plain,
    ( ~ spl0_18
    | spl0_77
    | ~ spl0_125
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2781]) ).

cnf(s700,plain,
    ( ~ spl0_8
    | spl0_118
    | ~ spl0_119
    | spl0_171 ),
    inference(sat_conversion,[],[f2784]) ).

cnf(s705,plain,
    ( ~ spl0_14
    | spl0_151
    | ~ spl0_153
    | spl0_183 ),
    inference(sat_conversion,[],[f2789]) ).

cnf(s707,plain,
    ( ~ spl0_14
    | spl0_95
    | spl0_139
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f2791]) ).

cnf(s722,plain,
    ( ~ spl0_38
    | ~ spl0_105
    | spl0_107
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f2942]) ).

cnf(s723,plain,
    ( ~ spl0_38
    | ~ spl0_62
    | spl0_63
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f2943]) ).

cnf(s724,plain,
    ( ~ spl0_38
    | spl0_66
    | ~ spl0_115
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f2944]) ).

cnf(s734,plain,
    ( ~ spl0_39
    | spl0_102
    | spl0_144
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f2966]) ).

cnf(s740,plain,
    ( ~ spl0_43
    | spl0_65
    | spl0_66
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f2996]) ).

cnf(s753,plain,
    ( spl0_17
    | ~ spl0_25
    | ~ spl0_45 ),
    inference(sat_conversion,[],[f3031]) ).

cnf(s754,plain,
    ( ~ spl0_18
    | ~ spl0_79
    | spl0_80
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f3032]) ).

cnf(s759,plain,
    ( ~ spl0_6
    | spl0_89
    | ~ spl0_134
    | spl0_163 ),
    inference(sat_conversion,[],[f3037]) ).

cnf(s760,plain,
    ( ~ spl0_6
    | spl0_77
    | ~ spl0_125
    | spl0_162 ),
    inference(sat_conversion,[],[f3038]) ).

cnf(s763,plain,
    ( ~ spl0_11
    | spl0_88
    | spl0_89
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f3041]) ).

cnf(s770,plain,
    ( ~ spl0_17
    | ~ spl0_86
    | ~ spl0_133
    | spl0_166 ),
    inference(sat_conversion,[],[f3048]) ).

cnf(s773,plain,
    ( ~ spl0_17
    | ~ spl0_83
    | spl0_84
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f3051]) ).

cnf(s774,plain,
    ( ~ spl0_17
    | spl0_75
    | ~ spl0_123
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f3052]) ).

cnf(s785,plain,
    ( ~ spl0_39
    | spl0_88
    | ~ spl0_134
    | spl0_163 ),
    inference(sat_conversion,[],[f3062]) ).

cnf(s798,plain,
    ( ~ spl0_21
    | ~ spl0_86
    | ~ spl0_133
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f3075]) ).

cnf(s799,plain,
    ( ~ spl0_9
    | ~ spl0_32
    | spl0_157
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f3076]) ).

cnf(s805,plain,
    ( ~ spl0_21
    | ~ spl0_131
    | ~ spl0_132
    | ~ spl0_180 ),
    inference(sat_conversion,[],[f3082]) ).

cnf(s806,plain,
    ( ~ spl0_42
    | ~ spl0_8 ),
    inference(rat,[],[s660,s76,s121,s122]) ).

cnf(s807,plain,
    ( ~ spl0_24
    | ~ spl0_15
    | ~ spl0_8 ),
    inference(rat,[],[s263,s213,s93,s94,s137]) ).

cnf(s808,plain,
    ( spl0_14
    | spl0_17
    | spl0_5
    | ~ spl0_8
    | spl0_3
    | spl0_2 ),
    inference(rat,[],[s16,s807,s676,s12,s535,s85,s86,s130,s23,s33,s806]) ).

cnf(s809,plain,
    ( spl0_40
    | ~ spl0_7 ),
    inference(rat,[],[s622,s148,s149,s150]) ).

cnf(s810,plain,
    ( spl0_6
    | spl0_5
    | ~ spl0_16
    | ~ spl0_4
    | spl0_3
    | spl0_2 ),
    inference(rat,[],[s228,s13,s639,s692,s70,s71,s72,s43,s809,s669,s131,s132,s2,s18]) ).

cnf(s811,plain,
    ( spl0_52
    | ~ spl0_15 ),
    inference(rat,[],[s692,s70,s71,s72]) ).

cnf(s812,plain,
    ( ~ spl0_48
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(rat,[],[s538,s700,s118,s119]) ).

cnf(s813,plain,
    ( spl0_53
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(rat,[],[s257,s218,s74,s75,s120]) ).

cnf(s819,plain,
    ( spl0_23
    | ~ spl0_14
    | ~ spl0_6 ),
    inference(rat,[],[s607,s343,s104,s144,s145]) ).

cnf(s821,plain,
    ( spl0_26
    | ~ spl0_25
    | ~ spl0_4 ),
    inference(rat,[],[s489,s679,s151,s152,s153]) ).

cnf(s822,plain,
    ( ~ spl0_50
    | ~ spl0_6
    | ~ spl0_16 ),
    inference(rat,[],[s665,s759,s90,s91,s134]) ).

cnf(s823,plain,
    ( spl0_5
    | ~ spl0_4
    | ~ spl0_8
    | spl0_3
    | spl0_2 ),
    inference(rat,[],[s535,s773,s85,s86,s808,s23,s705,s489,s151,s153,s41,s822,s810,s33,s806]) ).

cnf(s824,plain,
    ( ~ spl0_15
    | ~ spl0_4
    | ~ spl0_8
    | spl0_3
    | spl0_2 ),
    inference(rat,[],[s669,s131,s132,s18,s822,s43,s41,s809,s821,s39,s16,s811,s807,s33,s806,s812]) ).

cnf(s825,plain,
    ( ~ spl0_46
    | ~ spl0_9
    | ~ spl0_17 ),
    inference(rat,[],[s774,s219,s77,s78,s123]) ).

cnf(s826,plain,
    ( spl0_35
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(rat,[],[s654,s352,s124,s125]) ).

cnf(s827,plain,
    ( spl0_34
    | ~ spl0_21 ),
    inference(rat,[],[s640,s80,s126,s127]) ).

cnf(s828,plain,
    ( spl0_49
    | ~ spl0_38
    | ~ spl0_8 ),
    inference(rat,[],[s248,s724,s68,s115]) ).

cnf(s829,plain,
    ( ~ spl0_6
    | ~ spl0_4
    | ~ spl0_8
    | spl0_3
    | spl0_2 ),
    inference(rat,[],[s670,s480,s148,s149,s150,s163,s828,s59,s827,s13,s392,s94,s137,s16,s821,s41,s822,s33,s806,s812,s824]) ).

cnf(s830,plain,
    ( spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s487,s646,s148,s149,s150,s58,s723,s64,s65,s112,s37,s669,s131,s132,s18,s829,s824,s823,s806,s1,s3]) ).

cnf(s831,plain,
    ~ spl0_3,
    inference(rat,[],[s165,s169,s192,s199]) ).

cnf(s833,plain,
    ( spl0_40
    | ~ spl0_6
    | ~ spl0_2 ),
    inference(rat,[],[s347,s480,s148,s149,s150]) ).

cnf(s835,plain,
    ( spl0_40
    | ~ spl0_8
    | ~ spl0_2 ),
    inference(rat,[],[s496,s347,s148,s149,s150]) ).

cnf(s836,plain,
    ( ~ spl0_47
    | ~ spl0_38 ),
    inference(rat,[],[s723,s64,s65,s112]) ).

cnf(s837,plain,
    ( ~ spl0_8
    | ~ spl0_2 ),
    inference(rat,[],[s37,s811,s836,s43,s827,s163,s828,s58,s835,s806,s831]) ).

cnf(s838,plain,
    ( spl0_48
    | ~ spl0_53
    | spl0_65
    | spl0_66
    | ~ spl0_115
    | ~ spl0_34 ),
    inference(rat,[],[s229,s724,s60,s59,s831]) ).

cnf(s839,plain,
    ( spl0_51
    | ~ spl0_16 ),
    inference(rat,[],[s577,s99,s100,s101]) ).

cnf(s841,plain,
    ( ~ spl0_41
    | ~ spl0_25
    | ~ spl0_2 ),
    inference(rat,[],[s592,s671,s113,s114]) ).

cnf(s842,plain,
    ( spl0_158
    | ~ spl0_4 ),
    inference(rat,[],[s315,s157,s158,s159]) ).

cnf(s844,plain,
    ( spl0_40
    | ~ spl0_2 ),
    inference(rat,[],[s646,s2,s347,s833,s809,s149,s150,s831]) ).

cnf(s845,plain,
    ( ~ spl0_15
    | spl0_1 ),
    inference(rat,[],[s542,s98,s141,s142,s164,s841,s47,s839,s11,s231,s217,s73,s118,s838,s813,s4,s655,s69,s116,s117,s61,s740,s67,s68,s115,s163,s827,s43,s811,s837,s844,s830,s831]) ).

cnf(s847,plain,
    ( spl0_44
    | ~ spl0_18 ),
    inference(rat,[],[s754,s81,s82,s128]) ).

cnf(s848,plain,
    ( ~ spl0_27
    | ~ spl0_21
    | ~ spl0_4 ),
    inference(rat,[],[s669,s131,s132]) ).

cnf(s853,plain,
    ( ~ spl0_104
    | ~ spl0_38
    | ~ spl0_16 ),
    inference(rat,[],[s536,s722,s106,s108]) ).

cnf(s854,plain,
    ( spl0_28
    | ~ spl0_2 ),
    inference(rat,[],[s313,s154,s155,s156]) ).

cnf(s855,plain,
    ( ~ spl0_38
    | ~ spl0_16
    | ~ spl0_28 ),
    inference(rat,[],[s655,s69,s116,s117,s167,s42,s853,s836,s839,s831]) ).

cnf(s856,plain,
    ( ~ spl0_25
    | spl0_13
    | spl0_27
    | spl0_43
    | ~ spl0_158
    | ~ spl0_2 ),
    inference(rat,[],[s35,s753,s847,s825,s31,s52,s734,s819,s104,s144,s145,s165,s34,s841,s844,s6,s855,s11,s837,s854,s831]) ).

cnf(s859,plain,
    ( spl0_26
    | ~ spl0_14
    | ~ spl0_4 ),
    inference(rat,[],[s705,s489,s151,s153]) ).

cnf(s860,plain,
    ( ~ spl0_46
    | ~ spl0_17
    | ~ spl0_14 ),
    inference(rat,[],[s307,s77,s123]) ).

cnf(s861,plain,
    ( spl0_13
    | ~ spl0_21
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s770,s798,s88,s133,s51,s822,s52,s860,s27,s859,s856,s6,s11,s837,s842,s740,s67,s68,s115,s163,s827,s844,s848,s831]) ).

cnf(s862,plain,
    ( ~ spl0_21
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s231,s538,s73,s118,s119,s59,s724,s229,s861,s67,s68,s115,s163,s827,s844,s831]) ).

cnf(s863,plain,
    ( spl0_21
    | spl0_1 ),
    inference(rat,[],[s26,s485,s639,s228,s70,s71,s72,s13,s43,s844,s830,s845,s831]) ).

cnf(s864,plain,
    ( ~ spl0_27
    | ~ spl0_9
    | ~ spl0_21 ),
    inference(rat,[],[s543,s805,s87,s131,s132]) ).

cnf(s865,plain,
    ( ~ spl0_56
    | spl0_1 ),
    inference(rat,[],[s770,s798,s88,s133,s19,s862,s863,s854,s830,s831]) ).

cnf(s866,plain,
    spl0_1,
    inference(rat,[],[s822,s52,s11,s864,s825,s630,s4,s826,s25,s24,s763,s90,s91,s134,s51,s865,s19,s862,s827,s863,s854,s837,s830,s831]) ).

cnf(s867,plain,
    ( ~ spl0_56
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(rat,[],[s770,s798,s88,s133]) ).

cnf(s868,plain,
    ( ~ spl0_21
    | ~ spl0_2 ),
    inference(rat,[],[s31,s785,s697,s208,s352,s79,s124,s125,s25,s24,s763,s90,s91,s134,s51,s867,s19,s862,s827,s837,s844,s854,s831,s866]) ).

cnf(s869,plain,
    ( spl0_21
    | ~ spl0_40 ),
    inference(rat,[],[s26,s485,s639,s228,s13,s811,s70,s71,s72,s43,s831]) ).

cnf(s870,plain,
    ~ spl0_2,
    inference(rat,[],[s869,s868,s844]) ).

cnf(s871,plain,
    ( ~ spl0_4
    | spl0_8
    | ~ spl0_21 ),
    inference(rat,[],[s392,s94,s137,s6,s16,s18,s859,s821,s848,s17,s831,s870]) ).

cnf(s872,plain,
    ( ~ spl0_36
    | ~ spl0_14 ),
    inference(rat,[],[s707,s97,s139,s140]) ).

cnf(s873,plain,
    ( ~ spl0_50
    | ~ spl0_16
    | spl0_4
    | ~ spl0_34 ),
    inference(rat,[],[s697,s352,s31,s79,s124,s125,s809,s25,s24,s785,s763,s665,s90,s91,s134,s831]) ).

cnf(s874,plain,
    ( ~ spl0_41
    | ~ spl0_19 ),
    inference(rat,[],[s323,s66,s113,s114]) ).

cnf(s875,plain,
    ( spl0_13
    | spl0_8
    | ~ spl0_21 ),
    inference(rat,[],[s542,s98,s141,s142,s164,s874,s811,s7,s654,s760,s79,s124,s125,s15,s200,s819,s18,s864,s28,s867,s51,s873,s872,s6,s11,s827,s871,s870,s831]) ).

cnf(s876,plain,
    ( spl0_14
    | spl0_17
    | ~ spl0_51
    | ~ spl0_11 ),
    inference(rat,[],[s401,s102,s103,s12,s46,s831]) ).

cnf(s877,plain,
    ( ~ spl0_16
    | spl0_8
    | ~ spl0_21 ),
    inference(rat,[],[s542,s98,s141,s142,s164,s811,s7,s654,s760,s874,s79,s124,s125,s15,s200,s819,s18,s864,s28,s872,s876,s867,s51,s873,s839,s871,s24,s630,s875,s827,s870,s831]) ).

cnf(s878,plain,
    spl0_16,
    inference(rat,[],[s26,s523,s311,s831,s866]) ).

cnf(s879,plain,
    spl0_51,
    inference(rat,[],[s839,s878]) ).

cnf(s880,plain,
    ( ~ spl0_4
    | ~ spl0_21 ),
    inference(rat,[],[s18,s848,s829,s877,s870,s831,s878]) ).

cnf(s881,plain,
    ( spl0_17
    | spl0_9
    | ~ spl0_21 ),
    inference(rat,[],[s648,s79,s124,s125,s25,s876,s808,s872,s28,s877,s880,s831,s879,s870,s878]) ).

cnf(s882,plain,
    ( ~ spl0_40
    | ~ spl0_21 ),
    inference(rat,[],[s828,s58,s163,s827,s806,s877,s831,s878]) ).

cnf(s884,plain,
    ( spl0_35
    | ~ spl0_5 ),
    inference(rat,[],[s648,s79,s124,s125]) ).

cnf(s885,plain,
    ( spl0_6
    | ~ spl0_21 ),
    inference(rat,[],[s511,s95,s96,s138,s56,s559,s83,s84,s129,s162,s884,s2,s881,s864,s18,s827,s806,s877,s809,s882,s831,s870,s878]) ).

cnf(s886,plain,
    ( ~ spl0_23
    | ~ spl0_21 ),
    inference(rat,[],[s559,s83,s84,s129,s22,s161,s807,s799,s32,s7,s157,s159,s697,s654,s165,s760,s874,s79,s124,s125,s15,s200,s827,s877,s880,s885,s831,s870,s878]) ).

cnf(s887,plain,
    ( ~ spl0_58
    | ~ spl0_17 ),
    inference(rat,[],[s511,s95,s96,s138]) ).

cnf(s888,plain,
    ( ~ spl0_30
    | ~ spl0_21 ),
    inference(rat,[],[s269,s83,s129,s7,s401,s102,s103,s46,s56,s887,s876,s819,s886,s885,s24,s809,s882,s827,s806,s877,s878,s831,s879,s870]) ).

cnf(s889,plain,
    ~ spl0_21,
    inference(rat,[],[s760,s654,s79,s124,s125,s162,s888,s7,s401,s102,s103,s46,s819,s886,s885,s24,s809,s882,s827,s870,s831,s879]) ).

cnf(s890,plain,
    ~ spl0_57,
    inference(rat,[],[s53,s831,s889]) ).

cnf(s892,plain,
    ~ spl0_40,
    inference(rat,[],[s869,s889]) ).

cnf(s893,plain,
    spl0_147,
    inference(rat,[],[s147,s890]) ).

cnf(s894,plain,
    ~ spl0_146,
    inference(rat,[],[s146,s890]) ).

cnf(s895,plain,
    ~ spl0_103,
    inference(rat,[],[s105,s890]) ).

cnf(s899,plain,
    spl0_150,
    inference(rat,[],[s150,s892]) ).

cnf(s900,plain,
    spl0_149,
    inference(rat,[],[s149,s892]) ).

cnf(s901,plain,
    ~ spl0_148,
    inference(rat,[],[s148,s892]) ).

cnf(s902,plain,
    ~ spl0_7,
    inference(rat,[],[s809,s892]) ).

cnf(s903,plain,
    ~ spl0_5,
    inference(rat,[],[s25,s487,s628,s646,s565,s884,s831,s900,s901,s893,s895,s899]) ).

cnf(s904,plain,
    spl0_6,
    inference(rat,[],[s2,s902,s831,s903]) ).

cnf(s906,plain,
    ~ spl0_13,
    inference(rat,[],[s395,s895,s894,s904]) ).

cnf(s907,plain,
    spl0_176,
    inference(rat,[],[s480,s901,s899,s904]) ).

cnf(s908,plain,
    spl0_15,
    inference(rat,[],[s13,s831,s889,s906]) ).

cnf(s909,plain,
    ~ spl0_4,
    inference(rat,[],[s487,s901,s900,s907]) ).

cnf(s910,plain,
    spl0_52,
    inference(rat,[],[s811,s908]) ).

cnf(s913,plain,
    ~ spl0_23,
    inference(rat,[],[s542,s32,s98,s141,s142,s697,s164,s760,s874,s79,s125,s15,s200,s831,s910,s904,s909]) ).

cnf(s918,plain,
    ~ spl0_14,
    inference(rat,[],[s819,s904,s913]) ).

cnf(s926,plain,
    ~ spl0_33,
    inference(rat,[],[s23,s903,s831,s918]) ).

cnf(s937,plain,
    spl0_130,
    inference(rat,[],[s130,s926]) ).

cnf(s938,plain,
    ~ spl0_84,
    inference(rat,[],[s86,s926]) ).

cnf(s939,plain,
    spl0_83,
    inference(rat,[],[s85,s926]) ).

cnf(s946,plain,
    $false,
    inference(rat,[],[s522,s937,s866,s938,s939]) ).

fof(f3083,plain,
    $false,
    inference(avatar_sat_refutation,[],[s946]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN471-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23  % Computer : n013.cluster.edu
% 0.09/0.23  % Model    : x86_64 x86_64
% 0.09/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23  % Memory   : 8046.5625MB
% 0.09/0.23  % OS       : Linux 6.8.0-71-generic
% 0.09/0.24  % CPULimit : 300
% 0.09/0.24  % WCLimit  : 300
% 0.09/0.24  % DateTime : Mon Sep 28 16:10:34 UTC 2026
% 0.09/0.24  % CPUTime  : 
% 0.09/0.24  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.27  Running first-order model finding
% 0.09/0.27  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.36  % (1302636)Will run a generic schedule for satisfiability detection.
% 0.22/0.36  % (1302642)% WARNING: option uhcvi not known.
% 0.22/0.36  % (1302642)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3496739286:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.36  % (1302641)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=845550949_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.36  % (1302643)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=530747157:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.36  % (1302644)dis+10_1_sil=32000:sp=arity:random_seed=4034758632:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.36  % (1302645)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1180545893:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.36  % Detected minimum model sizes of [1]
% 0.22/0.36  % Detected maximum model sizes of [32]
% 0.22/0.36  % TRYING [1]
% 0.22/0.36  % TRYING [2]
% 0.22/0.36  % (1302647)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3902859936:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.36  % TRYING [3]
% 0.22/0.36  % (1302646)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2959146848:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.36  % TRYING [4]
% 0.22/0.36  % TRYING [5]
% 0.22/0.36  % (1302647) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1302636-1302647"...
% 0.22/0.36  % (1302647)...printing done.
% 0.22/0.36  % (1302647)Refutation found. Thanks to Tanya!
% 0.22/0.36  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.37  % (1302647)------------------------------
% 0.22/0.37  % (1302647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37  % (1302647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37  % (1302647)CaDiCaL version: 2.1.3
% 0.22/0.37  % (1302647)Termination reason: Refutation
% 0.22/0.37  % (1302647)Time elapsed: 0.045 s
% 0.22/0.37  % (1302647)Peak memory usage: 14 MB
% 0.22/0.37  % (1302647)Instructions burned: 72 (million)
% 0.22/0.37  % (1302636)Success in time 0.081 s
% 0.22/0.37  % Vampire exiting
%------------------------------------------------------------------------------