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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN487-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:14:06 PM UTC 2026

% Result   : Unsatisfiable 0.39s 0.27s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :  311
% Syntax   : Number of formulae    : 1224 (  23 unt; 157 def)
%            Number of atoms       : 4012 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 5032 (2244   ~;2631   |;   0   &)
%                                         ( 157 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  195 ( 194 usr; 191 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  165 (   0 sgn 165   !;   0   ?)

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

fof(f10,negated_conjecture,
    ( ~ hskp22
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).

fof(f14,negated_conjecture,
    ( ~ hskp18
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).

fof(f34,negated_conjecture,
    ( hskp28
    | hskp0
    | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f35,negated_conjecture,
    ( hskp28
    | hskp26
    | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

fof(f37,negated_conjecture,
    ( hskp6
    | hskp11
    | hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f40,negated_conjecture,
    ( hskp31
    | hskp22
    | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ( hskp8
    | hskp10
    | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f47,negated_conjecture,
    ( ~ hskp30
    | c1_1(a2315) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp30
    | c2_1(a2315) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp30
    | c3_1(a2315) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( ~ hskp29
    | c0_1(a2309) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f52,negated_conjecture,
    ( ~ hskp29
    | c2_1(a2309) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( ~ hskp28
    | c0_1(a2278) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( ~ hskp28
    | c1_1(a2278) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f55,negated_conjecture,
    ( ~ hskp28
    | c3_1(a2278) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( ~ hskp27
    | c1_1(a2367) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( ~ hskp27
    | c2_1(a2367) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( ~ hskp26
    | c3_1(a2345) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp25
    | c0_1(a2342) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp25
    | c3_1(a2342) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp24
    | c0_1(a2337) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp24
    | c3_1(a2337) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp23
    | c3_1(a2327) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp22
    | c2_1(a2325) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( ~ hskp21
    | c1_1(a2324) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( ~ hskp20
    | c2_1(a2323) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( ~ hskp20
    | c3_1(a2323) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp19
    | c1_1(a2316) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp18
    | c3_1(a2308) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp15
    | c1_1(a2303) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp15
    | c2_1(a2303) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp14
    | c2_1(a2302) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp14
    | c3_1(a2302) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp13
    | c2_1(a2299) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp12
    | c0_1(a2295) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp11
    | c0_1(a2294) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp10
    | c0_1(a2293) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp10
    | c2_1(a2293) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp8
    | c0_1(a2287) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp8
    | c2_1(a2287) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp7
    | c1_1(a2286) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp6
    | c0_1(a2285) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ hskp6
    | c1_1(a2285) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ hskp4
    | c2_1(a2282) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ hskp3
    | c1_1(a2280) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( ~ hskp3
    | c3_1(a2280) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ hskp2
    | c0_1(a2279) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ hskp1
    | c0_1(a2277) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ hskp1
    | c1_1(a2277) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ hskp0
    | c1_1(a2276) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( ~ hskp0
    | c3_1(a2276) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ c0_1(a2367)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ c0_1(a2345)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ c1_1(a2345)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ c2_1(a2342)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ c1_1(a2337)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ c0_1(a2327)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ c2_1(a2327)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c0_1(a2325)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c1_1(a2325)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ c0_1(a2324)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ c3_1(a2324)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ c1_1(a2323)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ c2_1(a2316)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ c3_1(a2316)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c1_1(a2308)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c2_1(a2308)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c1_1(a2306)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ c2_1(a2306)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c3_1(a2306)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ c0_1(a2304)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ c2_1(a2304)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ c3_1(a2304)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c3_1(a2303)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c0_1(a2302)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c1_1(a2299)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c3_1(a2299)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c1_1(a2295)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ c3_1(a2295)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ c1_1(a2294)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c2_1(a2294)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c3_1(a2293)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ c0_1(a2291)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ c1_1(a2291)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ c2_1(a2291)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ c1_1(a2287)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ c0_1(a2286)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ c2_1(a2286)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ c3_1(a2285)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ c0_1(a2284)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ( ~ c1_1(a2284)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( ~ c3_1(a2284)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f133,negated_conjecture,
    ( ~ c0_1(a2282)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ( ~ c3_1(a2282)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f135,negated_conjecture,
    ( ~ c2_1(a2280)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f136,negated_conjecture,
    ( ~ c2_1(a2279)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ( ~ c3_1(a2279)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f138,negated_conjecture,
    ( ~ c2_1(a2277)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f139,negated_conjecture,
    ( ~ c0_1(a2276)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

fof(f140,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | hskp2
      | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp28
      | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp6
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f144,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp11
      | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp21
      | hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f146,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f147,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp6
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

fof(f150,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp4
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f151,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp1
      | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f152,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp15
      | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f153,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp14
      | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f154,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f155,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp24
      | hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f156,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp29
      | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f157,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp14
      | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f159,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp12
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f161,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp19
      | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f163,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp24
      | hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f164,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp3
      | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f165,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp12
      | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f166,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp30
      | hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f167,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp21
      | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f168,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp2
      | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f169,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp30
      | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f170,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp7
      | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f171,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp2
      | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f172,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp13
      | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f175,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp27
      | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f177,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f178,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f180,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f184,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f186,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f187,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

fof(f188,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

fof(f189,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

fof(f190,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).

fof(f191,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).

fof(f193,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).

fof(f194,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).

fof(f195,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).

fof(f196,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).

fof(f197,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c0_1(X1)
      | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).

fof(f198,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c3_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).

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

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

fof(f201,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c2_1(X1)
      | c1_1(X2)
      | c2_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause201) ).

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

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

fof(f205,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f206,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f208,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f209,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f211,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f215,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f216,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f217,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f203,f215,f211,f208,f205]) ).

fof(f219,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f220,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f222,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f223,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f225,definition,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f226,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f227,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f202,f225,f211,f222,f219]) ).

fof(f229,definition,
    ( spl0_8
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f230,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f232,definition,
    ( spl0_9
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f233,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f235,definition,
    ( spl0_10
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f236,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f237,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f201,f235,f211,f232,f229]) ).

fof(f239,definition,
    ( spl0_11
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f240,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f242,definition,
    ( spl0_12
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f243,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f245,definition,
    ( spl0_13
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f246,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f247,plain,
    ( spl0_11
    | spl0_12
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f200,f245,f211,f242,f239]) ).

fof(f249,definition,
    ( spl0_14
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f250,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | c2_1(X2) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f252,definition,
    ( spl0_15
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f253,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f254,plain,
    ( spl0_14
    | spl0_15
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f199,f219,f211,f252,f249]) ).

fof(f256,definition,
    ( spl0_16
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f260,definition,
    ( spl0_17
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f261,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f263,definition,
    ( spl0_18
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f264,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f265,plain,
    ( spl0_16
    | spl0_17
    | ~ spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f198,f263,f211,f260,f256]) ).

fof(f267,definition,
    ( spl0_19
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f270,plain,
    ( spl0_19
    | spl0_5
    | ~ spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f197,f263,f211,f219,f267]) ).

fof(f272,definition,
    ( spl0_20
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f276,definition,
    ( spl0_21
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f277,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f278,plain,
    ( spl0_20
    | spl0_21
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f196,f215,f211,f276,f272]) ).

fof(f280,definition,
    ( spl0_22
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f284,definition,
    ( spl0_23
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f285,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f286,plain,
    ( spl0_22
    | spl0_23
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f195,f222,f211,f284,f280]) ).

fof(f288,definition,
    ( spl0_24
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f292,definition,
    ( spl0_25
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f293,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f294,plain,
    ( spl0_24
    | spl0_25
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f194,f215,f211,f292,f288]) ).

fof(f296,definition,
    ( spl0_26
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f300,definition,
    ( spl0_27
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f301,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f302,plain,
    ( spl0_26
    | spl0_27
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f193,f235,f211,f300,f296]) ).

fof(f308,definition,
    ( spl0_29
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f309,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f311,definition,
    ( spl0_30
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f312,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f313,plain,
    ( spl0_24
    | spl0_29
    | ~ spl0_3
    | spl0_30 ),
    inference(avatar_split_clause,[],[f191,f311,f211,f308,f288]) ).

fof(f315,definition,
    ( spl0_31
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f319,definition,
    ( spl0_32
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f320,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f321,plain,
    ( spl0_31
    | spl0_32
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f190,f222,f211,f319,f315]) ).

fof(f323,definition,
    ( spl0_33
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f326,plain,
    ( spl0_33
    | spl0_32
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f189,f208,f211,f319,f323]) ).

fof(f328,definition,
    ( spl0_34
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f331,plain,
    ( spl0_34
    | spl0_25
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f188,f260,f211,f292,f328]) ).

fof(f333,definition,
    ( spl0_35
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f336,plain,
    ( spl0_35
    | spl0_30
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f187,f276,f211,f311,f333]) ).

fof(f338,definition,
    ( spl0_36
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f341,plain,
    ( spl0_36
    | spl0_30
    | ~ spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f186,f292,f211,f311,f338]) ).

fof(f343,definition,
    ( spl0_37
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f348,definition,
    ( spl0_38
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f351,plain,
    ( spl0_38
    | spl0_5
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f184,f276,f211,f219,f348]) ).

fof(f353,definition,
    ( spl0_39
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f357,definition,
    ( spl0_40
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f358,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f359,plain,
    ( spl0_39
    | spl0_40
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f183,f222,f211,f357,f353]) ).

fof(f360,plain,
    ( spl0_26
    | spl0_11
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f182,f245,f211,f239,f296]) ).

fof(f361,plain,
    ( spl0_34
    | spl0_27
    | ~ spl0_3
    | spl0_32 ),
    inference(avatar_split_clause,[],[f181,f319,f211,f300,f328]) ).

fof(f363,definition,
    ( spl0_41
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f367,definition,
    ( spl0_42
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f368,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f369,plain,
    ( spl0_41
    | spl0_42
    | ~ spl0_3
    | spl0_32 ),
    inference(avatar_split_clause,[],[f180,f319,f211,f367,f363]) ).

fof(f371,definition,
    ( spl0_43
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f375,definition,
    ( spl0_44
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f376,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f377,plain,
    ( spl0_43
    | spl0_44
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f179,f245,f211,f375,f371]) ).

fof(f378,plain,
    ( spl0_39
    | spl0_14
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f178,f300,f211,f249,f353]) ).

fof(f379,plain,
    ( spl0_26
    | spl0_44
    | ~ spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f177,f292,f211,f375,f296]) ).

fof(f380,plain,
    ( spl0_24
    | spl0_44
    | ~ spl0_3
    | spl0_40 ),
    inference(avatar_split_clause,[],[f176,f357,f211,f375,f288]) ).

fof(f382,definition,
    ( spl0_45
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f386,definition,
    ( spl0_46
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f390,definition,
    ( spl0_47
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f391,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f392,plain,
    ( spl0_45
    | spl0_46
    | ~ spl0_3
    | spl0_47 ),
    inference(avatar_split_clause,[],[f175,f390,f211,f386,f382]) ).

fof(f396,definition,
    ( spl0_48
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f399,plain,
    ( spl0_19
    | spl0_48
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f172,f235,f211,f396,f267]) ).

fof(f401,definition,
    ( spl0_49
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f404,plain,
    ( spl0_19
    | spl0_49
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f171,f235,f211,f401,f267]) ).

fof(f406,definition,
    ( spl0_50
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f409,plain,
    ( spl0_35
    | spl0_50
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f170,f225,f211,f406,f333]) ).

fof(f411,definition,
    ( spl0_51
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f414,plain,
    ( spl0_51
    | spl0_36
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f169,f222,f211,f338,f411]) ).

fof(f416,definition,
    ( spl0_52
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f419,plain,
    ( spl0_52
    | spl0_49
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f168,f222,f211,f401,f416]) ).

fof(f421,definition,
    ( spl0_53
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f424,plain,
    ( spl0_51
    | spl0_53
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f167,f260,f211,f421,f411]) ).

fof(f425,plain,
    ( spl0_53
    | spl0_36
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f166,f245,f211,f338,f421]) ).

fof(f426,plain,
    ( spl0_35
    | spl0_22
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f165,f232,f211,f280,f333]) ).

fof(f427,plain,
    ( spl0_52
    | spl0_16
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f164,f242,f211,f256,f416]) ).

fof(f429,definition,
    ( spl0_54
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f432,plain,
    ( spl0_53
    | spl0_54
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f163,f242,f211,f429,f421]) ).

fof(f434,plain,
    ( spl0_52
    | spl0_35
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f161,f205,f211,f333,f416]) ).

fof(f436,plain,
    ( spl0_48
    | spl0_22
    | ~ spl0_3
    | spl0_30 ),
    inference(avatar_split_clause,[],[f159,f311,f211,f280,f396]) ).

fof(f438,definition,
    ( spl0_55
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f442,plain,
    ( spl0_38
    | spl0_33
    | ~ spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f157,f308,f211,f323,f348]) ).

fof(f443,plain,
    ( spl0_37
    | spl0_55
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f156,f219,f211,f438,f343]) ).

fof(f444,plain,
    ( spl0_31
    | spl0_54
    | ~ spl0_3
    | spl0_32 ),
    inference(avatar_split_clause,[],[f155,f319,f211,f429,f315]) ).

fof(f446,definition,
    ( spl0_56
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f449,plain,
    ( spl0_56
    | ~ spl0_3
    | spl0_30 ),
    inference(avatar_split_clause,[],[f154,f311,f211,f446]) ).

fof(f451,definition,
    ( spl0_57
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f452,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f453,plain,
    ( spl0_38
    | spl0_33
    | ~ spl0_3
    | spl0_57 ),
    inference(avatar_split_clause,[],[f153,f451,f211,f323,f348]) ).

fof(f455,definition,
    ( spl0_58
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f458,plain,
    ( spl0_51
    | spl0_58
    | ~ spl0_3
    | spl0_42 ),
    inference(avatar_split_clause,[],[f152,f367,f211,f455,f411]) ).

fof(f459,plain,
    ( spl0_33
    | spl0_26
    | ~ spl0_3
    | spl0_42 ),
    inference(avatar_split_clause,[],[f151,f367,f211,f296,f323]) ).

fof(f460,plain,
    ( spl0_48
    | spl0_52
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f150,f252,f211,f416,f396]) ).

fof(f467,definition,
    ( spl0_60
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f470,plain,
    ( spl0_50
    | spl0_60
    | ~ spl0_3
    | spl0_40 ),
    inference(avatar_split_clause,[],[f147,f357,f211,f467,f406]) ).

fof(f471,plain,
    ( spl0_22
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f146,f300,f211,f280]) ).

fof(f473,definition,
    ( spl0_61
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f476,plain,
    ( spl0_61
    | spl0_53
    | spl0_8
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f145,f211,f229,f421,f473]) ).

fof(f477,plain,
    ( spl0_22
    | spl0_41
    | spl0_14
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f144,f211,f249,f363,f280]) ).

fof(f479,definition,
    ( spl0_62
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f482,plain,
    ( spl0_62
    | spl0_60
    | spl0_14
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f143,f211,f249,f467,f479]) ).

fof(f483,plain,
    ( spl0_45
    | spl0_43
    | spl0_14
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f142,f211,f249,f371,f382]) ).

fof(f485,plain,
    ( spl0_16
    | spl0_49
    | spl0_44
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f140,f211,f375,f401,f256]) ).

fof(f487,definition,
    ( spl0_63
  <=> c0_1(a2276) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f489,plain,
    ( ~ c0_1(a2276)
    | spl0_63 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f490,plain,
    ( ~ spl0_24
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f139,f487,f288]) ).

fof(f492,definition,
    ( spl0_64
  <=> c2_1(a2277) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f494,plain,
    ( ~ c2_1(a2277)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f492]) ).

fof(f495,plain,
    ( ~ spl0_26
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f138,f492,f296]) ).

fof(f497,definition,
    ( spl0_65
  <=> c3_1(a2279) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f499,plain,
    ( ~ c3_1(a2279)
    | spl0_65 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f500,plain,
    ( ~ spl0_49
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f137,f497,f401]) ).

fof(f502,definition,
    ( spl0_66
  <=> c2_1(a2279) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f505,plain,
    ( ~ spl0_49
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f136,f502,f401]) ).

fof(f507,definition,
    ( spl0_67
  <=> c2_1(a2280) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f509,plain,
    ( ~ c2_1(a2280)
    | spl0_67 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f510,plain,
    ( ~ spl0_16
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f135,f507,f256]) ).

fof(f512,definition,
    ( spl0_68
  <=> c3_1(a2282) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f514,plain,
    ( ~ c3_1(a2282)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f515,plain,
    ( ~ spl0_52
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f134,f512,f416]) ).

fof(f517,definition,
    ( spl0_69
  <=> c0_1(a2282) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f520,plain,
    ( ~ spl0_52
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f133,f517,f416]) ).

fof(f522,definition,
    ( spl0_70
  <=> c3_1(a2284) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f524,plain,
    ( ~ c3_1(a2284)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f525,plain,
    ( ~ spl0_39
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f132,f522,f353]) ).

fof(f527,definition,
    ( spl0_71
  <=> c1_1(a2284) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f529,plain,
    ( ~ c1_1(a2284)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f530,plain,
    ( ~ spl0_39
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f131,f527,f353]) ).

fof(f532,definition,
    ( spl0_72
  <=> c0_1(a2284) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f535,plain,
    ( ~ spl0_39
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f130,f532,f353]) ).

fof(f537,definition,
    ( spl0_73
  <=> c3_1(a2285) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f539,plain,
    ( ~ c3_1(a2285)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f540,plain,
    ( ~ spl0_60
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f129,f537,f467]) ).

fof(f542,definition,
    ( spl0_74
  <=> c2_1(a2286) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f544,plain,
    ( ~ c2_1(a2286)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f545,plain,
    ( ~ spl0_50
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f128,f542,f406]) ).

fof(f547,definition,
    ( spl0_75
  <=> c0_1(a2286) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f549,plain,
    ( ~ c0_1(a2286)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f550,plain,
    ( ~ spl0_50
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f127,f547,f406]) ).

fof(f552,definition,
    ( spl0_76
  <=> c1_1(a2287) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f555,plain,
    ( ~ spl0_37
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f126,f552,f343]) ).

fof(f557,definition,
    ( spl0_77
  <=> c2_1(a2291) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f559,plain,
    ( ~ c2_1(a2291)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f560,plain,
    ( ~ spl0_45
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f125,f557,f382]) ).

fof(f562,definition,
    ( spl0_78
  <=> c1_1(a2291) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f564,plain,
    ( ~ c1_1(a2291)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f565,plain,
    ( ~ spl0_45
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f124,f562,f382]) ).

fof(f567,definition,
    ( spl0_79
  <=> c0_1(a2291) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f569,plain,
    ( ~ c0_1(a2291)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f570,plain,
    ( ~ spl0_45
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f123,f567,f382]) ).

fof(f572,definition,
    ( spl0_80
  <=> c3_1(a2293) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f574,plain,
    ( ~ c3_1(a2293)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f575,plain,
    ( ~ spl0_62
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f122,f572,f479]) ).

fof(f577,definition,
    ( spl0_81
  <=> c2_1(a2294) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f579,plain,
    ( ~ c2_1(a2294)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f580,plain,
    ( ~ spl0_41
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f121,f577,f363]) ).

fof(f582,definition,
    ( spl0_82
  <=> c1_1(a2294) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f584,plain,
    ( ~ c1_1(a2294)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f585,plain,
    ( ~ spl0_41
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f120,f582,f363]) ).

fof(f587,definition,
    ( spl0_83
  <=> c3_1(a2295) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f589,plain,
    ( ~ c3_1(a2295)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f590,plain,
    ( ~ spl0_22
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f119,f587,f280]) ).

fof(f592,definition,
    ( spl0_84
  <=> c1_1(a2295) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f594,plain,
    ( ~ c1_1(a2295)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f595,plain,
    ( ~ spl0_22
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f118,f592,f280]) ).

fof(f597,definition,
    ( spl0_85
  <=> c3_1(a2299) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f599,plain,
    ( ~ c3_1(a2299)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f600,plain,
    ( ~ spl0_48
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f117,f597,f396]) ).

fof(f602,definition,
    ( spl0_86
  <=> c1_1(a2299) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f604,plain,
    ( ~ c1_1(a2299)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f605,plain,
    ( ~ spl0_48
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f116,f602,f396]) ).

fof(f607,definition,
    ( spl0_87
  <=> c0_1(a2302) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f609,plain,
    ( ~ c0_1(a2302)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f610,plain,
    ( ~ spl0_33
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f115,f607,f323]) ).

fof(f612,definition,
    ( spl0_88
  <=> c3_1(a2303) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f614,plain,
    ( ~ c3_1(a2303)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f615,plain,
    ( ~ spl0_58
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f114,f612,f455]) ).

fof(f617,definition,
    ( spl0_89
  <=> c3_1(a2304) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f619,plain,
    ( ~ c3_1(a2304)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f620,plain,
    ( ~ spl0_51
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f113,f617,f411]) ).

fof(f622,definition,
    ( spl0_90
  <=> c2_1(a2304) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f624,plain,
    ( ~ c2_1(a2304)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f625,plain,
    ( ~ spl0_51
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f112,f622,f411]) ).

fof(f627,definition,
    ( spl0_91
  <=> c0_1(a2304) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f630,plain,
    ( ~ spl0_51
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f111,f627,f411]) ).

fof(f632,definition,
    ( spl0_92
  <=> c3_1(a2306) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f634,plain,
    ( ~ c3_1(a2306)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f635,plain,
    ( ~ spl0_38
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f110,f632,f348]) ).

fof(f637,definition,
    ( spl0_93
  <=> c2_1(a2306) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f639,plain,
    ( ~ c2_1(a2306)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f640,plain,
    ( ~ spl0_38
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f109,f637,f348]) ).

fof(f642,definition,
    ( spl0_94
  <=> c1_1(a2306) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f644,plain,
    ( ~ c1_1(a2306)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f645,plain,
    ( ~ spl0_38
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f108,f642,f348]) ).

fof(f647,definition,
    ( spl0_95
  <=> c2_1(a2308) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f649,plain,
    ( ~ c2_1(a2308)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f650,plain,
    ( ~ spl0_19
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f107,f647,f267]) ).

fof(f652,definition,
    ( spl0_96
  <=> c1_1(a2308) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f654,plain,
    ( ~ c1_1(a2308)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f655,plain,
    ( ~ spl0_19
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f106,f652,f267]) ).

fof(f657,definition,
    ( spl0_97
  <=> c3_1(a2316) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f659,plain,
    ( ~ c3_1(a2316)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f660,plain,
    ( ~ spl0_35
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f105,f657,f333]) ).

fof(f662,definition,
    ( spl0_98
  <=> c2_1(a2316) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f664,plain,
    ( ~ c2_1(a2316)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f665,plain,
    ( ~ spl0_35
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f104,f662,f333]) ).

fof(f667,definition,
    ( spl0_99
  <=> c1_1(a2323) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f669,plain,
    ( ~ c1_1(a2323)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f670,plain,
    ( ~ spl0_56
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f103,f667,f446]) ).

fof(f672,definition,
    ( spl0_100
  <=> c3_1(a2324) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f674,plain,
    ( ~ c3_1(a2324)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f675,plain,
    ( ~ spl0_53
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f102,f672,f421]) ).

fof(f677,definition,
    ( spl0_101
  <=> c0_1(a2324) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f679,plain,
    ( ~ c0_1(a2324)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f680,plain,
    ( ~ spl0_53
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f101,f677,f421]) ).

fof(f682,definition,
    ( spl0_102
  <=> c1_1(a2325) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f685,plain,
    ( ~ spl0_61
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f100,f682,f473]) ).

fof(f687,definition,
    ( spl0_103
  <=> c0_1(a2325) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f689,plain,
    ( ~ c0_1(a2325)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f690,plain,
    ( ~ spl0_61
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f99,f687,f473]) ).

fof(f692,definition,
    ( spl0_104
  <=> c2_1(a2327) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f694,plain,
    ( ~ c2_1(a2327)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f692]) ).

fof(f695,plain,
    ( ~ spl0_34
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f98,f692,f328]) ).

fof(f697,definition,
    ( spl0_105
  <=> c0_1(a2327) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f699,plain,
    ( ~ c0_1(a2327)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f700,plain,
    ( ~ spl0_34
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f97,f697,f328]) ).

fof(f702,definition,
    ( spl0_106
  <=> c1_1(a2337) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f704,plain,
    ( ~ c1_1(a2337)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f705,plain,
    ( ~ spl0_54
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f96,f702,f429]) ).

fof(f707,definition,
    ( spl0_107
  <=> c2_1(a2342) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f709,plain,
    ( ~ c2_1(a2342)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f710,plain,
    ( ~ spl0_31
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f95,f707,f315]) ).

fof(f712,definition,
    ( spl0_108
  <=> c1_1(a2345) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f714,plain,
    ( ~ c1_1(a2345)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f712]) ).

fof(f715,plain,
    ( ~ spl0_20
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f94,f712,f272]) ).

fof(f717,definition,
    ( spl0_109
  <=> c0_1(a2345) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f719,plain,
    ( ~ c0_1(a2345)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f720,plain,
    ( ~ spl0_20
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f93,f717,f272]) ).

fof(f722,definition,
    ( spl0_110
  <=> c0_1(a2367) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f724,plain,
    ( ~ c0_1(a2367)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f725,plain,
    ( ~ spl0_46
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f92,f722,f386]) ).

fof(f727,definition,
    ( spl0_111
  <=> c3_1(a2276) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f729,plain,
    ( c3_1(a2276)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f730,plain,
    ( spl0_111
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f91,f288,f727]) ).

fof(f732,definition,
    ( spl0_112
  <=> c1_1(a2276) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f734,plain,
    ( c1_1(a2276)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f735,plain,
    ( spl0_112
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f90,f288,f732]) ).

fof(f737,definition,
    ( spl0_113
  <=> c1_1(a2277) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f739,plain,
    ( c1_1(a2277)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f740,plain,
    ( spl0_113
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f89,f296,f737]) ).

fof(f742,definition,
    ( spl0_114
  <=> c0_1(a2277) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f744,plain,
    ( c0_1(a2277)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f745,plain,
    ( spl0_114
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f88,f296,f742]) ).

fof(f747,definition,
    ( spl0_115
  <=> c0_1(a2279) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f749,plain,
    ( c0_1(a2279)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f750,plain,
    ( spl0_115
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f87,f401,f747]) ).

fof(f752,definition,
    ( spl0_116
  <=> c3_1(a2280) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f754,plain,
    ( c3_1(a2280)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f755,plain,
    ( spl0_116
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f86,f256,f752]) ).

fof(f757,definition,
    ( spl0_117
  <=> c1_1(a2280) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f759,plain,
    ( c1_1(a2280)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f760,plain,
    ( spl0_117
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f85,f256,f757]) ).

fof(f762,definition,
    ( spl0_118
  <=> c2_1(a2282) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f764,plain,
    ( c2_1(a2282)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f765,plain,
    ( spl0_118
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f84,f416,f762]) ).

fof(f767,definition,
    ( spl0_119
  <=> c1_1(a2285) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f769,plain,
    ( c1_1(a2285)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f770,plain,
    ( spl0_119
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f83,f467,f767]) ).

fof(f772,definition,
    ( spl0_120
  <=> c0_1(a2285) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f774,plain,
    ( c0_1(a2285)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f775,plain,
    ( spl0_120
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f82,f467,f772]) ).

fof(f777,definition,
    ( spl0_121
  <=> c1_1(a2286) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f779,plain,
    ( c1_1(a2286)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f777]) ).

fof(f780,plain,
    ( spl0_121
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f81,f406,f777]) ).

fof(f782,definition,
    ( spl0_122
  <=> c2_1(a2287) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f784,plain,
    ( c2_1(a2287)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f782]) ).

fof(f785,plain,
    ( spl0_122
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f80,f343,f782]) ).

fof(f787,definition,
    ( spl0_123
  <=> c0_1(a2287) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f789,plain,
    ( c0_1(a2287)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f787]) ).

fof(f790,plain,
    ( spl0_123
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f79,f343,f787]) ).

fof(f792,definition,
    ( spl0_124
  <=> c2_1(a2293) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f794,plain,
    ( c2_1(a2293)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f792]) ).

fof(f795,plain,
    ( spl0_124
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f78,f479,f792]) ).

fof(f797,definition,
    ( spl0_125
  <=> c0_1(a2293) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f799,plain,
    ( c0_1(a2293)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f797]) ).

fof(f800,plain,
    ( spl0_125
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f77,f479,f797]) ).

fof(f802,definition,
    ( spl0_126
  <=> c0_1(a2294) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f804,plain,
    ( c0_1(a2294)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f802]) ).

fof(f805,plain,
    ( spl0_126
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f76,f363,f802]) ).

fof(f807,definition,
    ( spl0_127
  <=> c0_1(a2295) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f809,plain,
    ( c0_1(a2295)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f810,plain,
    ( spl0_127
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f75,f280,f807]) ).

fof(f812,definition,
    ( spl0_128
  <=> c2_1(a2299) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f814,plain,
    ( c2_1(a2299)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f815,plain,
    ( spl0_128
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f74,f396,f812]) ).

fof(f817,definition,
    ( spl0_129
  <=> c3_1(a2302) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f819,plain,
    ( c3_1(a2302)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f820,plain,
    ( spl0_129
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f73,f323,f817]) ).

fof(f822,definition,
    ( spl0_130
  <=> c2_1(a2302) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f824,plain,
    ( c2_1(a2302)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f825,plain,
    ( spl0_130
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f72,f323,f822]) ).

fof(f827,definition,
    ( spl0_131
  <=> c2_1(a2303) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f829,plain,
    ( c2_1(a2303)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f830,plain,
    ( spl0_131
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f71,f455,f827]) ).

fof(f832,definition,
    ( spl0_132
  <=> c1_1(a2303) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f834,plain,
    ( c1_1(a2303)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f835,plain,
    ( spl0_132
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f70,f455,f832]) ).

fof(f837,definition,
    ( spl0_133
  <=> c3_1(a2308) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f839,plain,
    ( c3_1(a2308)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f840,plain,
    ( spl0_133
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f69,f267,f837]) ).

fof(f842,definition,
    ( spl0_134
  <=> c1_1(a2316) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f844,plain,
    ( c1_1(a2316)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f845,plain,
    ( spl0_134
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f68,f333,f842]) ).

fof(f847,definition,
    ( spl0_135
  <=> c3_1(a2323) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f849,plain,
    ( c3_1(a2323)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f850,plain,
    ( spl0_135
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f67,f446,f847]) ).

fof(f852,definition,
    ( spl0_136
  <=> c2_1(a2323) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f854,plain,
    ( c2_1(a2323)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f855,plain,
    ( spl0_136
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f66,f446,f852]) ).

fof(f857,definition,
    ( spl0_137
  <=> c1_1(a2324) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f859,plain,
    ( c1_1(a2324)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f857]) ).

fof(f860,plain,
    ( spl0_137
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f65,f421,f857]) ).

fof(f862,definition,
    ( spl0_138
  <=> c2_1(a2325) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f864,plain,
    ( c2_1(a2325)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f862]) ).

fof(f865,plain,
    ( spl0_138
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f64,f473,f862]) ).

fof(f867,definition,
    ( spl0_139
  <=> c3_1(a2327) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f869,plain,
    ( c3_1(a2327)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f867]) ).

fof(f870,plain,
    ( spl0_139
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f63,f328,f867]) ).

fof(f872,definition,
    ( spl0_140
  <=> c3_1(a2337) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f874,plain,
    ( c3_1(a2337)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f872]) ).

fof(f875,plain,
    ( spl0_140
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f62,f429,f872]) ).

fof(f877,definition,
    ( spl0_141
  <=> c0_1(a2337) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f879,plain,
    ( c0_1(a2337)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f877]) ).

fof(f880,plain,
    ( spl0_141
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f61,f429,f877]) ).

fof(f882,definition,
    ( spl0_142
  <=> c3_1(a2342) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f884,plain,
    ( c3_1(a2342)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f885,plain,
    ( spl0_142
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f60,f315,f882]) ).

fof(f887,definition,
    ( spl0_143
  <=> c0_1(a2342) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f889,plain,
    ( c0_1(a2342)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f890,plain,
    ( spl0_143
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f59,f315,f887]) ).

fof(f892,definition,
    ( spl0_144
  <=> c3_1(a2345) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f894,plain,
    ( c3_1(a2345)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f895,plain,
    ( spl0_144
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f58,f272,f892]) ).

fof(f897,definition,
    ( spl0_145
  <=> c2_1(a2367) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f899,plain,
    ( c2_1(a2367)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f900,plain,
    ( spl0_145
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f57,f386,f897]) ).

fof(f902,definition,
    ( spl0_146
  <=> c1_1(a2367) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f904,plain,
    ( c1_1(a2367)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f902]) ).

fof(f905,plain,
    ( spl0_146
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f56,f386,f902]) ).

fof(f907,definition,
    ( spl0_147
  <=> c3_1(a2278) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f909,plain,
    ( c3_1(a2278)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f907]) ).

fof(f910,plain,
    ( spl0_147
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f55,f371,f907]) ).

fof(f912,definition,
    ( spl0_148
  <=> c1_1(a2278) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f914,plain,
    ( c1_1(a2278)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f912]) ).

fof(f915,plain,
    ( spl0_148
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f54,f371,f912]) ).

fof(f917,definition,
    ( spl0_149
  <=> c0_1(a2278) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f919,plain,
    ( c0_1(a2278)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f920,plain,
    ( spl0_149
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f53,f371,f917]) ).

fof(f922,definition,
    ( spl0_150
  <=> c2_1(a2309) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f924,plain,
    ( c2_1(a2309)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f922]) ).

fof(f925,plain,
    ( spl0_150
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f52,f438,f922]) ).

fof(f932,definition,
    ( spl0_152
  <=> c0_1(a2309) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f934,plain,
    ( c0_1(a2309)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f932]) ).

fof(f935,plain,
    ( spl0_152
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f50,f438,f932]) ).

fof(f937,definition,
    ( spl0_153
  <=> c3_1(a2315) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f939,plain,
    ( c3_1(a2315)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f937]) ).

fof(f940,plain,
    ( spl0_153
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f49,f338,f937]) ).

fof(f942,definition,
    ( spl0_154
  <=> c2_1(a2315) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f944,plain,
    ( c2_1(a2315)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f942]) ).

fof(f945,plain,
    ( spl0_154
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f48,f338,f942]) ).

fof(f947,definition,
    ( spl0_155
  <=> c1_1(a2315) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f949,plain,
    ( c1_1(a2315)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f947]) ).

fof(f950,plain,
    ( spl0_155
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f47,f338,f947]) ).

fof(f956,definition,
    ( spl0_157
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f972,plain,
    ( spl0_35
    | spl0_62
    | spl0_37 ),
    inference(avatar_split_clause,[],[f41,f343,f479,f333]) ).

fof(f973,plain,
    ( spl0_19
    | spl0_61
    | spl0_157 ),
    inference(avatar_split_clause,[],[f40,f956,f473,f267]) ).

fof(f976,plain,
    ( spl0_36
    | spl0_41
    | spl0_60 ),
    inference(avatar_split_clause,[],[f37,f467,f363,f338]) ).

fof(f978,plain,
    ( spl0_51
    | spl0_20
    | spl0_43 ),
    inference(avatar_split_clause,[],[f35,f371,f272,f411]) ).

fof(f979,plain,
    ( spl0_48
    | spl0_24
    | spl0_43 ),
    inference(avatar_split_clause,[],[f34,f371,f288,f396]) ).

fof(f999,plain,
    ( spl0_3
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f14,f267,f211]) ).

fof(f1003,plain,
    ( spl0_3
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f10,f473,f211]) ).

fof(f1012,plain,
    ( spl0_3
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1,f956,f211]) ).

fof(f1013,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f261,f216]) ).

fof(f1014,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_6
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f264,f223]) ).

fof(f1015,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_6
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[],[f320,f223]) ).

fof(f1016,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_12
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f391,f243]) ).

fof(f1018,plain,
    ( ~ c0_1(a2285)
    | ~ spl0_4
    | ~ spl0_17
    | ~ spl0_119 ),
    inference(resolution,[],[f1013,f769]) ).

fof(f1020,plain,
    ( ~ c0_1(a2277)
    | ~ spl0_4
    | ~ spl0_17
    | ~ spl0_113 ),
    inference(resolution,[],[f1013,f739]) ).

fof(f1021,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_17
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[],[f1020,f744]) ).

fof(f1022,plain,
    ( ~ spl0_4
    | ~ spl0_17
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(avatar_contradiction_clause,[],[f1021]) ).

fof(f1023,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_17
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f1018,f774]) ).

fof(f1024,plain,
    ( ~ spl0_4
    | ~ spl0_17
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f1023]) ).

fof(f1025,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_12
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[],[f293,f243]) ).

fof(f1027,plain,
    ( ~ c0_1(a2287)
    | ~ spl0_6
    | ~ spl0_18
    | ~ spl0_122 ),
    inference(resolution,[],[f1014,f784]) ).

fof(f1029,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_18
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(forward_subsumption_resolution,[],[f1027,f789]) ).

fof(f1030,plain,
    ( ~ spl0_6
    | ~ spl0_18
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(avatar_contradiction_clause,[],[f1029]) ).

fof(f1032,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_9
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[],[f320,f233]) ).

fof(f1049,plain,
    ( c3_1(a2295)
    | ~ spl0_6
    | ~ spl0_32
    | ~ spl0_127 ),
    inference(resolution,[],[f1015,f809]) ).

fof(f1051,plain,
    ( c3_1(a2285)
    | ~ spl0_6
    | ~ spl0_32
    | ~ spl0_120 ),
    inference(resolution,[],[f1015,f774]) ).

fof(f1061,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_14
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[],[f320,f250]) ).

fof(f1096,plain,
    ( c2_1(a2306)
    | ~ spl0_14
    | ~ spl0_32
    | spl0_92 ),
    inference(resolution,[],[f1061,f634]) ).

fof(f1100,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_32
    | spl0_92
    | spl0_93 ),
    inference(forward_subsumption_resolution,[],[f1096,f639]) ).

fof(f1101,plain,
    ( ~ spl0_14
    | ~ spl0_32
    | spl0_92
    | spl0_93 ),
    inference(avatar_contradiction_clause,[],[f1100]) ).

fof(f1121,plain,
    ( ~ c3_1(a2280)
    | ~ c0_1(a2280)
    | ~ spl0_4
    | ~ spl0_117 ),
    inference(resolution,[],[f216,f759]) ).

fof(f1122,plain,
    ( ~ c3_1(a2277)
    | ~ c0_1(a2277)
    | ~ spl0_4
    | ~ spl0_113 ),
    inference(resolution,[],[f216,f739]) ).

fof(f1123,plain,
    ( ~ c3_1(a2277)
    | ~ spl0_4
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[],[f1122,f744]) ).

fof(f1124,plain,
    ( ~ c0_1(a2280)
    | ~ spl0_4
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(forward_subsumption_resolution,[],[f1121,f754]) ).

fof(f1134,plain,
    ( c3_1(a2306)
    | c2_1(a2306)
    | ~ spl0_8
    | spl0_94 ),
    inference(resolution,[],[f230,f644]) ).

fof(f1137,plain,
    ( c2_1(a2306)
    | ~ spl0_8
    | spl0_92
    | spl0_94 ),
    inference(forward_subsumption_resolution,[],[f1134,f634]) ).

fof(f1141,plain,
    ( $false
    | ~ spl0_8
    | spl0_92
    | spl0_93
    | spl0_94 ),
    inference(forward_subsumption_resolution,[],[f1137,f639]) ).

fof(f1142,plain,
    ( ~ spl0_8
    | spl0_92
    | spl0_93
    | spl0_94 ),
    inference(avatar_contradiction_clause,[],[f1141]) ).

fof(f1144,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_30
    | ~ spl0_57 ),
    inference(forward_subsumption_resolution,[],[f452,f312]) ).

fof(f1155,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_29
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f309,f368]) ).

fof(f1157,plain,
    ( c3_1(a2284)
    | c2_1(a2284)
    | ~ spl0_8
    | spl0_71 ),
    inference(resolution,[],[f529,f230]) ).

fof(f1158,plain,
    ( c2_1(a2284)
    | ~ spl0_8
    | spl0_70
    | spl0_71 ),
    inference(forward_subsumption_resolution,[],[f1157,f524]) ).

fof(f1181,plain,
    ( c0_1(a2282)
    | ~ spl0_30
    | ~ spl0_57
    | ~ spl0_118 ),
    inference(resolution,[],[f1144,f764]) ).

fof(f1194,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[],[f309,f216]) ).

fof(f1300,plain,
    ( c2_1(a2286)
    | ~ c3_1(a2286)
    | ~ spl0_13
    | ~ spl0_121 ),
    inference(resolution,[],[f246,f779]) ).

fof(f1301,plain,
    ( c2_1(a2280)
    | ~ c3_1(a2280)
    | ~ spl0_13
    | ~ spl0_117 ),
    inference(resolution,[],[f246,f759]) ).

fof(f1302,plain,
    ( c2_1(a2277)
    | ~ c3_1(a2277)
    | ~ spl0_13
    | ~ spl0_113 ),
    inference(resolution,[],[f246,f739]) ).

fof(f1303,plain,
    ( c2_1(a2276)
    | ~ c3_1(a2276)
    | ~ spl0_13
    | ~ spl0_112 ),
    inference(resolution,[],[f246,f734]) ).

fof(f1314,plain,
    ( c3_1(a2295)
    | c1_1(a2295)
    | ~ spl0_27
    | ~ spl0_127 ),
    inference(resolution,[],[f301,f809]) ).

fof(f1315,plain,
    ( c3_1(a2294)
    | c1_1(a2294)
    | ~ spl0_27
    | ~ spl0_126 ),
    inference(resolution,[],[f301,f804]) ).

fof(f1327,plain,
    ( c3_1(a2294)
    | ~ spl0_27
    | spl0_82
    | ~ spl0_126 ),
    inference(forward_subsumption_resolution,[],[f1315,f584]) ).

fof(f1328,plain,
    ( c1_1(a2295)
    | ~ spl0_27
    | spl0_83
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f1314,f589]) ).

fof(f1340,plain,
    ( c3_1(a2295)
    | c2_1(a2295)
    | ~ spl0_32
    | ~ spl0_127 ),
    inference(resolution,[],[f320,f809]) ).

fof(f1341,plain,
    ( c3_1(a2294)
    | c2_1(a2294)
    | ~ spl0_32
    | ~ spl0_126 ),
    inference(resolution,[],[f320,f804]) ).

fof(f1344,plain,
    ( c3_1(a2285)
    | c2_1(a2285)
    | ~ spl0_32
    | ~ spl0_120 ),
    inference(resolution,[],[f320,f774]) ).

fof(f1346,plain,
    ( c3_1(a2279)
    | c2_1(a2279)
    | ~ spl0_32
    | ~ spl0_115 ),
    inference(resolution,[],[f320,f749]) ).

fof(f1347,plain,
    ( c3_1(a2277)
    | c2_1(a2277)
    | ~ spl0_32
    | ~ spl0_114 ),
    inference(resolution,[],[f320,f744]) ).

fof(f1348,plain,
    ( c2_1(a2277)
    | ~ spl0_4
    | ~ spl0_32
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[],[f1347,f1123]) ).

fof(f1349,plain,
    ( c2_1(a2279)
    | ~ spl0_32
    | spl0_65
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f1346,f499]) ).

fof(f1350,plain,
    ( c2_1(a2285)
    | ~ spl0_32
    | spl0_73
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f1344,f539]) ).

fof(f1351,plain,
    ( c3_1(a2294)
    | ~ spl0_32
    | spl0_81
    | ~ spl0_126 ),
    inference(forward_subsumption_resolution,[],[f1341,f579]) ).

fof(f1352,plain,
    ( c2_1(a2295)
    | ~ spl0_32
    | spl0_83
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f1340,f589]) ).

fof(f1354,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_32
    | spl0_64
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[],[f1348,f494]) ).

fof(f1355,plain,
    ( ~ spl0_4
    | ~ spl0_32
    | spl0_64
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(avatar_contradiction_clause,[],[f1354]) ).

fof(f1360,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f236,f209]) ).

fof(f1391,definition,
    ( spl0_160
  <=> c3_1(a2294) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1393,plain,
    ( c3_1(a2294)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1391]) ).

fof(f1410,plain,
    ( spl0_160
    | ~ spl0_27
    | spl0_82
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1327,f802,f582,f300,f1391]) ).

fof(f1411,plain,
    ( spl0_84
    | ~ spl0_27
    | spl0_83
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1328,f807,f587,f300,f592]) ).

fof(f1427,plain,
    ( spl0_69
    | ~ spl0_30
    | ~ spl0_57
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1181,f762,f451,f311,f517]) ).

fof(f1432,plain,
    ( c0_1(a2276)
    | ~ c2_1(a2276)
    | ~ spl0_30
    | ~ spl0_111 ),
    inference(resolution,[],[f729,f312]) ).

fof(f1441,plain,
    ( c0_1(a2315)
    | ~ c2_1(a2315)
    | ~ spl0_30
    | ~ spl0_153 ),
    inference(resolution,[],[f939,f312]) ).

fof(f1443,plain,
    ( ~ c2_1(a2315)
    | ~ spl0_12
    | ~ spl0_47
    | ~ spl0_153 ),
    inference(resolution,[],[f939,f1016]) ).

fof(f1472,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_47
    | ~ spl0_153
    | ~ spl0_154 ),
    inference(forward_subsumption_resolution,[],[f1443,f944]) ).

fof(f1473,plain,
    ( ~ spl0_12
    | ~ spl0_47
    | ~ spl0_153
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f1472]) ).

fof(f1576,plain,
    ( c0_1(a2276)
    | ~ spl0_29
    | ~ spl0_42
    | ~ spl0_112 ),
    inference(resolution,[],[f1155,f734]) ).

fof(f1582,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_42
    | spl0_63
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f1576,f489]) ).

fof(f1583,plain,
    ( ~ spl0_29
    | ~ spl0_42
    | spl0_63
    | ~ spl0_112 ),
    inference(avatar_contradiction_clause,[],[f1582]) ).

fof(f1591,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_17
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f261,f301]) ).

fof(f1607,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_8
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f277,f230]) ).

fof(f1680,plain,
    ( c3_1(a2293)
    | ~ spl0_17
    | ~ spl0_27
    | ~ spl0_125 ),
    inference(resolution,[],[f1591,f799]) ).

fof(f1682,plain,
    ( c3_1(a2285)
    | ~ spl0_17
    | ~ spl0_27
    | ~ spl0_120 ),
    inference(resolution,[],[f1591,f774]) ).

fof(f1685,plain,
    ( c3_1(a2279)
    | ~ spl0_17
    | ~ spl0_27
    | ~ spl0_115 ),
    inference(resolution,[],[f1591,f749]) ).

fof(f1693,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_27
    | spl0_73
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f1682,f539]) ).

fof(f1694,plain,
    ( ~ spl0_17
    | ~ spl0_27
    | spl0_73
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f1693]) ).

fof(f1695,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_27
    | spl0_80
    | ~ spl0_125 ),
    inference(forward_subsumption_resolution,[],[f1680,f574]) ).

fof(f1696,plain,
    ( ~ spl0_17
    | ~ spl0_27
    | spl0_80
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f1695]) ).

fof(f1715,plain,
    ( c2_1(a2304)
    | ~ spl0_8
    | ~ spl0_21
    | spl0_89 ),
    inference(resolution,[],[f1607,f619]) ).

fof(f1754,plain,
    ( c0_1(a2284)
    | ~ spl0_8
    | ~ spl0_30
    | ~ spl0_57
    | spl0_70
    | spl0_71 ),
    inference(resolution,[],[f1158,f1144]) ).

fof(f1773,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_1
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f206,f301]) ).

fof(f1774,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f236,f220]) ).

fof(f1781,plain,
    ( c3_1(a2277)
    | ~ spl0_32
    | spl0_64
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[],[f1347,f494]) ).

fof(f1782,plain,
    ( spl0_66
    | ~ spl0_32
    | spl0_65
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1349,f747,f497,f319,f502]) ).

fof(f1794,plain,
    ( c1_1(a2337)
    | ~ spl0_1
    | ~ spl0_27
    | ~ spl0_141 ),
    inference(resolution,[],[f1773,f879]) ).

fof(f1797,plain,
    ( c1_1(a2294)
    | ~ spl0_1
    | ~ spl0_27
    | ~ spl0_126 ),
    inference(resolution,[],[f1773,f804]) ).

fof(f1799,plain,
    ( c1_1(a2287)
    | ~ spl0_1
    | ~ spl0_27
    | ~ spl0_123 ),
    inference(resolution,[],[f1773,f789]) ).

fof(f1813,plain,
    ( ~ c2_1(a2315)
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_155 ),
    inference(resolution,[],[f1774,f949]) ).

fof(f1821,plain,
    ( ~ c2_1(a2285)
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_119 ),
    inference(resolution,[],[f1774,f769]) ).

fof(f1826,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_32
    | spl0_73
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f1821,f1350]) ).

fof(f1827,plain,
    ( ~ spl0_5
    | ~ spl0_10
    | ~ spl0_32
    | spl0_73
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f1826]) ).

fof(f1833,plain,
    ( c1_1(a2342)
    | ~ c0_1(a2342)
    | ~ spl0_1
    | ~ spl0_142 ),
    inference(resolution,[],[f206,f884]) ).

fof(f1834,plain,
    ( c1_1(a2337)
    | ~ c0_1(a2337)
    | ~ spl0_1
    | ~ spl0_140 ),
    inference(resolution,[],[f206,f874]) ).

fof(f1840,plain,
    ( ~ c0_1(a2337)
    | ~ spl0_1
    | spl0_106
    | ~ spl0_140 ),
    inference(forward_subsumption_resolution,[],[f1834,f704]) ).

fof(f1841,plain,
    ( c1_1(a2342)
    | ~ spl0_1
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(forward_subsumption_resolution,[],[f1833,f889]) ).

fof(f1843,plain,
    ( $false
    | ~ spl0_1
    | spl0_106
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(forward_subsumption_resolution,[],[f1840,f879]) ).

fof(f1844,plain,
    ( ~ spl0_1
    | spl0_106
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f1843]) ).

fof(f1849,plain,
    ( c0_1(a2367)
    | ~ c2_1(a2367)
    | ~ spl0_5
    | ~ spl0_146 ),
    inference(resolution,[],[f220,f904]) ).

fof(f1851,plain,
    ( c0_1(a2324)
    | ~ c2_1(a2324)
    | ~ spl0_5
    | ~ spl0_137 ),
    inference(resolution,[],[f220,f859]) ).

fof(f1857,plain,
    ( c0_1(a2276)
    | ~ c2_1(a2276)
    | ~ spl0_5
    | ~ spl0_112 ),
    inference(resolution,[],[f220,f734]) ).

fof(f1859,plain,
    ( c1_1(a2299)
    | ~ c0_1(a2299)
    | ~ spl0_23
    | ~ spl0_128 ),
    inference(resolution,[],[f285,f814]) ).

fof(f1869,plain,
    ( ~ c0_1(a2299)
    | ~ spl0_23
    | spl0_86
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f1859,f604]) ).

fof(f1874,plain,
    ( c1_1(a2294)
    | ~ c0_1(a2294)
    | ~ spl0_1
    | ~ spl0_160 ),
    inference(resolution,[],[f1393,f206]) ).

fof(f1878,plain,
    ( ~ c0_1(a2294)
    | ~ spl0_1
    | spl0_82
    | ~ spl0_160 ),
    inference(forward_subsumption_resolution,[],[f1874,f584]) ).

fof(f1879,plain,
    ( $false
    | ~ spl0_1
    | spl0_82
    | ~ spl0_126
    | ~ spl0_160 ),
    inference(forward_subsumption_resolution,[],[f1878,f804]) ).

fof(f1880,plain,
    ( ~ spl0_1
    | spl0_82
    | ~ spl0_126
    | ~ spl0_160 ),
    inference(avatar_contradiction_clause,[],[f1879]) ).

fof(f1910,plain,
    ( c1_1(a2295)
    | ~ spl0_12
    | ~ spl0_25
    | ~ spl0_32
    | spl0_83
    | ~ spl0_127 ),
    inference(resolution,[],[f1025,f1352]) ).

fof(f1918,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_25
    | ~ spl0_32
    | spl0_83
    | spl0_84
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f1910,f594]) ).

fof(f1919,plain,
    ( ~ spl0_12
    | ~ spl0_25
    | ~ spl0_32
    | spl0_83
    | spl0_84
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f1918]) ).

fof(f1924,definition,
    ( spl0_161
  <=> c0_1(a2315) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1925,plain,
    ( ~ c0_1(a2315)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f1924]) ).

fof(f1926,plain,
    ( c0_1(a2315)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1924]) ).

fof(f1928,plain,
    ( ~ c2_1(a2324)
    | ~ spl0_5
    | spl0_101
    | ~ spl0_137 ),
    inference(forward_subsumption_resolution,[],[f1851,f679]) ).

fof(f1940,plain,
    ( c2_1(a2277)
    | ~ spl0_9
    | ~ spl0_32
    | ~ spl0_114 ),
    inference(resolution,[],[f1032,f744]) ).

fof(f1964,plain,
    ( spl0_90
    | ~ spl0_8
    | ~ spl0_21
    | spl0_89 ),
    inference(avatar_split_clause,[],[f1715,f617,f276,f229,f622]) ).

fof(f1968,plain,
    ( ~ c2_1(a2276)
    | ~ spl0_30
    | spl0_63
    | ~ spl0_111 ),
    inference(forward_subsumption_resolution,[],[f1432,f489]) ).

fof(f1969,plain,
    ( ~ c2_1(a2276)
    | ~ spl0_5
    | spl0_63
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f1857,f489]) ).

fof(f1978,plain,
    ( c0_1(a2302)
    | ~ c2_1(a2302)
    | ~ spl0_30
    | ~ spl0_129 ),
    inference(resolution,[],[f819,f312]) ).

fof(f1981,plain,
    ( ~ c2_1(a2302)
    | ~ spl0_30
    | spl0_87
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f1978,f609]) ).

fof(f1982,plain,
    ( $false
    | ~ spl0_30
    | spl0_87
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f1981,f824]) ).

fof(f1983,plain,
    ( ~ spl0_30
    | spl0_87
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f1982]) ).

fof(f1987,plain,
    ( c1_1(a2323)
    | ~ c2_1(a2323)
    | ~ spl0_12
    | ~ spl0_135 ),
    inference(resolution,[],[f849,f243]) ).

fof(f1988,plain,
    ( ~ c2_1(a2323)
    | ~ spl0_12
    | spl0_99
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f1987,f669]) ).

fof(f1993,plain,
    ( spl0_83
    | ~ spl0_6
    | ~ spl0_32
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1049,f807,f319,f222,f587]) ).

fof(f1994,plain,
    ( spl0_73
    | ~ spl0_6
    | ~ spl0_32
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1051,f772,f319,f222,f537]) ).

fof(f2006,plain,
    ( spl0_72
    | ~ spl0_8
    | ~ spl0_30
    | ~ spl0_57
    | spl0_70
    | spl0_71 ),
    inference(avatar_split_clause,[],[f1754,f527,f522,f451,f311,f229,f532]) ).

fof(f2017,plain,
    ( spl0_76
    | ~ spl0_1
    | ~ spl0_27
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1799,f787,f300,f205,f552]) ).

fof(f2019,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_154
    | ~ spl0_155 ),
    inference(forward_subsumption_resolution,[],[f1813,f944]) ).

fof(f2020,plain,
    ( ~ spl0_5
    | ~ spl0_10
    | ~ spl0_154
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f2019]) ).

fof(f2028,plain,
    ( ~ c3_1(a2277)
    | ~ spl0_13
    | spl0_64
    | ~ spl0_113 ),
    inference(forward_subsumption_resolution,[],[f1302,f494]) ).

fof(f2029,plain,
    ( ~ c3_1(a2276)
    | ~ spl0_5
    | ~ spl0_13
    | spl0_63
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f1303,f1969]) ).

fof(f2040,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_32
    | spl0_64
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[],[f2028,f1781]) ).

fof(f2041,plain,
    ( ~ spl0_13
    | ~ spl0_32
    | spl0_64
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(avatar_contradiction_clause,[],[f2040]) ).

fof(f2042,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | spl0_63
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f2029,f729]) ).

fof(f2043,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | spl0_63
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(avatar_contradiction_clause,[],[f2042]) ).

fof(f2073,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_15
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[],[f312,f253]) ).

fof(f2074,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f277,f226]) ).

fof(f2078,plain,
    ( c0_1(a2345)
    | ~ spl0_15
    | ~ spl0_30
    | ~ spl0_144 ),
    inference(resolution,[],[f2073,f894]) ).

fof(f2095,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_30
    | spl0_109
    | ~ spl0_144 ),
    inference(forward_subsumption_resolution,[],[f2078,f719]) ).

fof(f2096,plain,
    ( ~ spl0_15
    | ~ spl0_30
    | spl0_109
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f2095]) ).

fof(f2098,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[],[f293,f226]) ).

fof(f2165,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f220,f240]) ).

fof(f2229,plain,
    ( ~ c0_1(a2278)
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_148 ),
    inference(resolution,[],[f1360,f914]) ).

fof(f2244,plain,
    ( ~ c0_1(a2315)
    | ~ spl0_4
    | ~ spl0_17
    | ~ spl0_155 ),
    inference(resolution,[],[f1013,f949]) ).

fof(f2246,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_17
    | ~ spl0_155
    | ~ spl0_161 ),
    inference(forward_subsumption_resolution,[],[f2244,f1926]) ).

fof(f2247,plain,
    ( ~ spl0_4
    | ~ spl0_17
    | ~ spl0_155
    | ~ spl0_161 ),
    inference(avatar_contradiction_clause,[],[f2246]) ).

fof(f2252,plain,
    ( spl0_64
    | ~ spl0_9
    | ~ spl0_32
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1940,f742,f319,f232,f492]) ).

fof(f2277,plain,
    ( ~ c2_1(a2367)
    | ~ spl0_5
    | spl0_110
    | ~ spl0_146 ),
    inference(forward_subsumption_resolution,[],[f1849,f724]) ).

fof(f2280,plain,
    ( $false
    | ~ spl0_5
    | spl0_110
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(forward_subsumption_resolution,[],[f2277,f899]) ).

fof(f2281,plain,
    ( ~ spl0_5
    | spl0_110
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f2280]) ).

fof(f2425,plain,
    ( ~ spl0_136
    | ~ spl0_12
    | spl0_99
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1988,f847,f667,f242,f852]) ).

fof(f2432,plain,
    ( c2_1(a2316)
    | ~ c0_1(a2316)
    | ~ spl0_2
    | ~ spl0_134 ),
    inference(resolution,[],[f209,f844]) ).

fof(f2437,plain,
    ( c2_1(a2277)
    | ~ c0_1(a2277)
    | ~ spl0_2
    | ~ spl0_113 ),
    inference(resolution,[],[f209,f739]) ).

fof(f2439,plain,
    ( ~ c0_1(a2277)
    | ~ spl0_2
    | spl0_64
    | ~ spl0_113 ),
    inference(forward_subsumption_resolution,[],[f2437,f494]) ).

fof(f2442,plain,
    ( ~ c0_1(a2316)
    | ~ spl0_2
    | spl0_98
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f2432,f664]) ).

fof(f2445,plain,
    ( $false
    | ~ spl0_2
    | spl0_64
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[],[f2439,f744]) ).

fof(f2446,plain,
    ( ~ spl0_2
    | spl0_64
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(avatar_contradiction_clause,[],[f2445]) ).

fof(f2462,plain,
    ( c0_1(a2282)
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_118 ),
    inference(resolution,[],[f2165,f764]) ).

fof(f2466,plain,
    ( c2_1(a2280)
    | ~ spl0_13
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(forward_subsumption_resolution,[],[f1301,f754]) ).

fof(f2478,plain,
    ( ~ c0_1(a2309)
    | ~ spl0_6
    | ~ spl0_18
    | ~ spl0_150 ),
    inference(resolution,[],[f1014,f924]) ).

fof(f2492,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_18
    | ~ spl0_150
    | ~ spl0_152 ),
    inference(forward_subsumption_resolution,[],[f2478,f934]) ).

fof(f2493,plain,
    ( ~ spl0_6
    | ~ spl0_18
    | ~ spl0_150
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f2492]) ).

fof(f2537,plain,
    ( c2_1(a2342)
    | ~ c0_1(a2342)
    | ~ spl0_9
    | ~ spl0_142 ),
    inference(resolution,[],[f233,f884]) ).

fof(f2541,plain,
    ( c2_1(a2308)
    | ~ c0_1(a2308)
    | ~ spl0_9
    | ~ spl0_133 ),
    inference(resolution,[],[f233,f839]) ).

fof(f2544,plain,
    ( c2_1(a2294)
    | ~ c0_1(a2294)
    | ~ spl0_9
    | ~ spl0_160 ),
    inference(resolution,[],[f233,f1393]) ).

fof(f2549,plain,
    ( ~ c0_1(a2308)
    | ~ spl0_9
    | spl0_95
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f2541,f649]) ).

fof(f2555,plain,
    ( ~ c2_1(a2315)
    | ~ spl0_30
    | ~ spl0_153
    | spl0_161 ),
    inference(forward_subsumption_resolution,[],[f1441,f1925]) ).

fof(f2556,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_153
    | ~ spl0_154
    | spl0_161 ),
    inference(forward_subsumption_resolution,[],[f2555,f944]) ).

fof(f2557,plain,
    ( ~ spl0_30
    | ~ spl0_153
    | ~ spl0_154
    | spl0_161 ),
    inference(avatar_contradiction_clause,[],[f2556]) ).

fof(f2566,plain,
    ( c1_1(a2325)
    | c0_1(a2325)
    | ~ spl0_11
    | ~ spl0_138 ),
    inference(resolution,[],[f240,f864]) ).

fof(f2567,plain,
    ( c1_1(a2323)
    | c0_1(a2323)
    | ~ spl0_11
    | ~ spl0_136 ),
    inference(resolution,[],[f240,f854]) ).

fof(f2576,plain,
    ( c0_1(a2323)
    | ~ spl0_11
    | spl0_99
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[],[f2567,f669]) ).

fof(f2582,plain,
    ( c0_1(a2324)
    | c2_1(a2324)
    | ~ spl0_14
    | spl0_100 ),
    inference(resolution,[],[f250,f674]) ).

fof(f2583,plain,
    ( c0_1(a2316)
    | c2_1(a2316)
    | ~ spl0_14
    | spl0_97 ),
    inference(resolution,[],[f250,f659]) ).

fof(f2590,plain,
    ( c0_1(a2304)
    | c2_1(a2304)
    | ~ spl0_14
    | spl0_89 ),
    inference(resolution,[],[f250,f619]) ).

fof(f2600,plain,
    ( c2_1(a2316)
    | ~ spl0_2
    | ~ spl0_14
    | spl0_97
    | spl0_98
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f2583,f2442]) ).

fof(f2601,plain,
    ( c2_1(a2324)
    | ~ spl0_14
    | spl0_100
    | spl0_101 ),
    inference(forward_subsumption_resolution,[],[f2582,f679]) ).

fof(f2607,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_14
    | spl0_97
    | spl0_98
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f2600,f664]) ).

fof(f2608,plain,
    ( ~ spl0_2
    | ~ spl0_14
    | spl0_97
    | spl0_98
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f2607]) ).

fof(f2617,plain,
    ( c3_1(a2293)
    | ~ c0_1(a2293)
    | ~ spl0_6
    | ~ spl0_124 ),
    inference(resolution,[],[f794,f223]) ).

fof(f2672,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_14
    | ~ spl0_40 ),
    inference(resolution,[],[f358,f250]) ).

fof(f2677,plain,
    ( c1_1(a2345)
    | c0_1(a2345)
    | ~ spl0_40
    | ~ spl0_144 ),
    inference(resolution,[],[f358,f894]) ).

fof(f2682,plain,
    ( c1_1(a2308)
    | c0_1(a2308)
    | ~ spl0_40
    | ~ spl0_133 ),
    inference(resolution,[],[f358,f839]) ).

fof(f2691,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_14
    | ~ spl0_40 ),
    inference(duplicate_literal_removal,[],[f2672]) ).

fof(f2693,plain,
    ( c0_1(a2308)
    | ~ spl0_40
    | spl0_96
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f2682,f654]) ).

fof(f2699,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_40
    | spl0_95
    | spl0_96
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f2693,f2549]) ).

fof(f2700,plain,
    ( ~ spl0_9
    | ~ spl0_40
    | spl0_95
    | spl0_96
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f2699]) ).

fof(f2708,plain,
    ( c3_1(a2324)
    | c0_1(a2324)
    | ~ spl0_42
    | ~ spl0_137 ),
    inference(resolution,[],[f368,f859]) ).

fof(f2710,plain,
    ( c3_1(a2286)
    | c0_1(a2286)
    | ~ spl0_42
    | ~ spl0_121 ),
    inference(resolution,[],[f368,f779]) ).

fof(f2716,plain,
    ( c3_1(a2286)
    | ~ spl0_42
    | spl0_75
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f2710,f549]) ).

fof(f2718,plain,
    ( c0_1(a2324)
    | ~ spl0_42
    | spl0_100
    | ~ spl0_137 ),
    inference(forward_subsumption_resolution,[],[f2708,f674]) ).

fof(f2725,plain,
    ( $false
    | ~ spl0_42
    | spl0_100
    | spl0_101
    | ~ spl0_137 ),
    inference(forward_subsumption_resolution,[],[f2718,f679]) ).

fof(f2726,plain,
    ( ~ spl0_42
    | spl0_100
    | spl0_101
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f2725]) ).

fof(f2727,plain,
    ( ~ c3_1(a2286)
    | ~ spl0_13
    | spl0_74
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f1300,f544]) ).

fof(f2729,plain,
    ( ~ c3_1(a2276)
    | ~ spl0_13
    | ~ spl0_30
    | spl0_63
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f1303,f1968]) ).

fof(f2732,plain,
    ( spl0_67
    | ~ spl0_13
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2466,f757,f752,f245,f507]) ).

fof(f2744,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_42
    | spl0_74
    | spl0_75
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f2727,f2716]) ).

fof(f2745,plain,
    ( ~ spl0_13
    | ~ spl0_42
    | spl0_74
    | spl0_75
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f2744]) ).

fof(f2746,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_30
    | spl0_63
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f2729,f729]) ).

fof(f2747,plain,
    ( ~ spl0_13
    | ~ spl0_30
    | spl0_63
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(avatar_contradiction_clause,[],[f2746]) ).

fof(f2755,plain,
    ( ~ spl0_149
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2229,f912,f235,f208,f917]) ).

fof(f2756,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f277,f246]) ).

fof(f2768,plain,
    ( ~ c0_1(a2285)
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_119 ),
    inference(resolution,[],[f1360,f769]) ).

fof(f2771,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f2768,f774]) ).

fof(f2772,plain,
    ( ~ spl0_2
    | ~ spl0_10
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f2771]) ).

fof(f2778,plain,
    ( c2_1(a2286)
    | ~ spl0_13
    | ~ spl0_21
    | ~ spl0_121 ),
    inference(resolution,[],[f2756,f779]) ).

fof(f2784,plain,
    ( c1_1(a2345)
    | ~ spl0_40
    | spl0_109
    | ~ spl0_144 ),
    inference(forward_subsumption_resolution,[],[f2677,f719]) ).

fof(f2789,plain,
    ( ~ c0_1(a2293)
    | ~ spl0_6
    | spl0_80
    | ~ spl0_124 ),
    inference(forward_subsumption_resolution,[],[f2617,f574]) ).

fof(f2792,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_11
    | ~ spl0_44 ),
    inference(forward_subsumption_resolution,[],[f240,f376]) ).

fof(f2793,plain,
    ( c1_1(a2325)
    | ~ spl0_11
    | spl0_103
    | ~ spl0_138 ),
    inference(forward_subsumption_resolution,[],[f2566,f689]) ).

fof(f2808,plain,
    ( c0_1(a2304)
    | ~ spl0_14
    | spl0_89
    | spl0_90 ),
    inference(forward_subsumption_resolution,[],[f2590,f624]) ).

fof(f2818,plain,
    ( c3_1(a2324)
    | ~ spl0_7
    | ~ spl0_21
    | ~ spl0_137 ),
    inference(resolution,[],[f2074,f859]) ).

fof(f2825,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_21
    | spl0_100
    | ~ spl0_137 ),
    inference(forward_subsumption_resolution,[],[f2818,f674]) ).

fof(f2826,plain,
    ( ~ spl0_7
    | ~ spl0_21
    | spl0_100
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f2825]) ).

fof(f2830,plain,
    ( c0_1(a2345)
    | ~ spl0_11
    | ~ spl0_44
    | spl0_108 ),
    inference(resolution,[],[f2792,f714]) ).

fof(f2834,plain,
    ( c0_1(a2308)
    | ~ spl0_11
    | ~ spl0_44
    | spl0_96 ),
    inference(resolution,[],[f2792,f654]) ).

fof(f2848,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_44
    | spl0_108
    | spl0_109 ),
    inference(forward_subsumption_resolution,[],[f2830,f719]) ).

fof(f2849,plain,
    ( ~ spl0_11
    | ~ spl0_44
    | spl0_108
    | spl0_109 ),
    inference(avatar_contradiction_clause,[],[f2848]) ).

fof(f2854,plain,
    ( ~ c0_1(a2294)
    | ~ spl0_9
    | spl0_81
    | ~ spl0_160 ),
    inference(forward_subsumption_resolution,[],[f2544,f579]) ).

fof(f2860,plain,
    ( spl0_65
    | ~ spl0_17
    | ~ spl0_27
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1685,f747,f300,f260,f497]) ).

fof(f2863,plain,
    ( $false
    | ~ spl0_9
    | spl0_81
    | ~ spl0_126
    | ~ spl0_160 ),
    inference(forward_subsumption_resolution,[],[f2854,f804]) ).

fof(f2864,plain,
    ( ~ spl0_9
    | spl0_81
    | ~ spl0_126
    | ~ spl0_160 ),
    inference(avatar_contradiction_clause,[],[f2863]) ).

fof(f2872,definition,
    ( spl0_165
  <=> c0_1(a2316) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f2873,plain,
    ( ~ c0_1(a2316)
    | spl0_165 ),
    inference(avatar_component_clause,[],[f2872]) ).

fof(f2898,plain,
    ( c2_1(a2316)
    | ~ spl0_14
    | ~ spl0_32
    | spl0_97 ),
    inference(resolution,[],[f1061,f659]) ).

fof(f2925,plain,
    ( c1_1(a2299)
    | c0_1(a2299)
    | ~ spl0_11
    | ~ spl0_128 ),
    inference(resolution,[],[f240,f814]) ).

fof(f2933,plain,
    ( c0_1(a2299)
    | ~ spl0_11
    | spl0_86
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f2925,f604]) ).

fof(f2939,plain,
    ( c3_1(a2316)
    | c2_1(a2316)
    | ~ spl0_21
    | ~ spl0_134 ),
    inference(resolution,[],[f277,f844]) ).

fof(f2957,plain,
    ( c3_1(a2299)
    | c1_1(a2299)
    | ~ spl0_25
    | ~ spl0_128 ),
    inference(resolution,[],[f293,f814]) ).

fof(f2965,plain,
    ( c1_1(a2299)
    | ~ spl0_25
    | spl0_85
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f2957,f599]) ).

fof(f2966,plain,
    ( $false
    | ~ spl0_25
    | spl0_85
    | spl0_86
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f2965,f604]) ).

fof(f2967,plain,
    ( ~ spl0_25
    | spl0_85
    | spl0_86
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f2966]) ).

fof(f2969,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_44
    | spl0_95
    | spl0_96
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f2834,f2549]) ).

fof(f2970,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | ~ spl0_44
    | spl0_95
    | spl0_96
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f2969]) ).

fof(f2982,plain,
    ( spl0_44
    | ~ spl0_14
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f2691,f357,f249,f375]) ).

fof(f2985,plain,
    ( c2_1(a2316)
    | ~ spl0_14
    | spl0_97
    | spl0_165 ),
    inference(forward_subsumption_resolution,[],[f2583,f2873]) ).

fof(f2992,plain,
    ( ~ c0_1(a2278)
    | ~ spl0_4
    | ~ spl0_17
    | ~ spl0_148 ),
    inference(resolution,[],[f1013,f914]) ).

fof(f2997,plain,
    ( ~ c0_1(a2316)
    | ~ spl0_4
    | ~ spl0_17
    | ~ spl0_134 ),
    inference(resolution,[],[f1013,f844]) ).

fof(f3009,plain,
    ( spl0_106
    | ~ spl0_1
    | ~ spl0_27
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1794,f877,f300,f205,f702]) ).

fof(f3011,plain,
    ( spl0_82
    | ~ spl0_1
    | ~ spl0_27
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1797,f802,f300,f205,f582]) ).

fof(f3023,plain,
    ( spl0_74
    | ~ spl0_13
    | ~ spl0_21
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f2778,f777,f276,f245,f542]) ).

fof(f3024,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_32
    | spl0_97
    | spl0_98 ),
    inference(forward_subsumption_resolution,[],[f2898,f664]) ).

fof(f3025,plain,
    ( ~ spl0_14
    | ~ spl0_32
    | spl0_97
    | spl0_98 ),
    inference(avatar_contradiction_clause,[],[f3024]) ).

fof(f3026,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_13
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f391,f246]) ).

fof(f3031,definition,
    ( spl0_166
  <=> c0_1(a2280) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f3033,plain,
    ( ~ c0_1(a2280)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f3031]) ).

fof(f3044,plain,
    ( ~ c2_1(a2324)
    | ~ spl0_5
    | spl0_101
    | ~ spl0_137 ),
    inference(forward_subsumption_resolution,[],[f1851,f679]) ).

fof(f3047,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_14
    | spl0_100
    | spl0_101
    | ~ spl0_137 ),
    inference(forward_subsumption_resolution,[],[f1928,f2601]) ).

fof(f3048,plain,
    ( ~ spl0_5
    | ~ spl0_14
    | spl0_100
    | spl0_101
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f3047]) ).

fof(f3061,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_14
    | spl0_100
    | spl0_101
    | ~ spl0_137 ),
    inference(forward_subsumption_resolution,[],[f3044,f2601]) ).

fof(f3062,plain,
    ( ~ spl0_5
    | ~ spl0_14
    | spl0_100
    | spl0_101
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f3061]) ).

fof(f3071,plain,
    ( ~ c3_1(a2315)
    | ~ spl0_4
    | ~ spl0_29
    | ~ spl0_155 ),
    inference(resolution,[],[f1194,f949]) ).

fof(f3091,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_29
    | ~ spl0_153
    | ~ spl0_155 ),
    inference(forward_subsumption_resolution,[],[f3071,f939]) ).

fof(f3092,plain,
    ( ~ spl0_4
    | ~ spl0_29
    | ~ spl0_153
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f3091]) ).

fof(f3104,plain,
    ( ~ c3_1(a2278)
    | ~ spl0_13
    | ~ spl0_47
    | ~ spl0_148 ),
    inference(resolution,[],[f3026,f914]) ).

fof(f3123,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_47
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(forward_subsumption_resolution,[],[f3104,f909]) ).

fof(f3124,plain,
    ( ~ spl0_13
    | ~ spl0_47
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f3123]) ).

fof(f3165,plain,
    ( spl0_69
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f2462,f762,f239,f219,f517]) ).

fof(f3176,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_23
    | spl0_86
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f2933,f1869]) ).

fof(f3177,plain,
    ( ~ spl0_11
    | ~ spl0_23
    | spl0_86
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f3176]) ).

fof(f3180,plain,
    ( spl0_108
    | ~ spl0_40
    | spl0_109
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2784,f892,f717,f357,f712]) ).

fof(f3186,plain,
    ( ~ spl0_166
    | ~ spl0_4
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1124,f757,f752,f215,f3031]) ).

fof(f3195,plain,
    ( ~ c0_1(a2342)
    | ~ spl0_9
    | spl0_107
    | ~ spl0_142 ),
    inference(forward_subsumption_resolution,[],[f2537,f709]) ).

fof(f3215,plain,
    ( $false
    | ~ spl0_9
    | spl0_107
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(forward_subsumption_resolution,[],[f3195,f889]) ).

fof(f3216,plain,
    ( ~ spl0_9
    | spl0_107
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f3215]) ).

fof(f3225,plain,
    ( ~ spl0_125
    | ~ spl0_6
    | spl0_80
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2789,f792,f572,f222,f797]) ).

fof(f3228,plain,
    ( spl0_91
    | ~ spl0_14
    | spl0_89
    | spl0_90 ),
    inference(avatar_split_clause,[],[f2808,f622,f617,f249,f627]) ).

fof(f3230,plain,
    ( c2_1(a2316)
    | ~ spl0_21
    | spl0_97
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f2939,f659]) ).

fof(f3242,plain,
    ( c1_1(a2323)
    | ~ c0_1(a2323)
    | ~ spl0_1
    | ~ spl0_135 ),
    inference(resolution,[],[f206,f849]) ).

fof(f3263,plain,
    ( ~ c2_1(a2315)
    | ~ c0_1(a2315)
    | ~ spl0_10
    | ~ spl0_155 ),
    inference(resolution,[],[f236,f949]) ).

fof(f3265,plain,
    ( ~ c2_1(a2278)
    | ~ c0_1(a2278)
    | ~ spl0_10
    | ~ spl0_148 ),
    inference(resolution,[],[f236,f914]) ).

fof(f3280,plain,
    ( ~ c2_1(a2278)
    | ~ spl0_10
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(forward_subsumption_resolution,[],[f3265,f919]) ).

fof(f3282,plain,
    ( ~ c0_1(a2315)
    | ~ spl0_10
    | ~ spl0_154
    | ~ spl0_155 ),
    inference(forward_subsumption_resolution,[],[f3263,f944]) ).

fof(f3289,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_154
    | ~ spl0_155
    | ~ spl0_161 ),
    inference(forward_subsumption_resolution,[],[f3282,f1926]) ).

fof(f3290,plain,
    ( ~ spl0_10
    | ~ spl0_154
    | ~ spl0_155
    | ~ spl0_161 ),
    inference(avatar_contradiction_clause,[],[f3289]) ).

fof(f3293,plain,
    ( c2_1(a2278)
    | ~ c3_1(a2278)
    | ~ spl0_13
    | ~ spl0_148 ),
    inference(resolution,[],[f246,f914]) ).

fof(f3295,plain,
    ( c2_1(a2342)
    | ~ c3_1(a2342)
    | ~ spl0_1
    | ~ spl0_13
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(resolution,[],[f246,f1841]) ).

fof(f3306,plain,
    ( ~ c3_1(a2342)
    | ~ spl0_1
    | ~ spl0_13
    | spl0_107
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(forward_subsumption_resolution,[],[f3295,f709]) ).

fof(f3307,plain,
    ( ~ c3_1(a2278)
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(forward_subsumption_resolution,[],[f3293,f3280]) ).

fof(f3310,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_13
    | spl0_107
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(forward_subsumption_resolution,[],[f3306,f884]) ).

fof(f3311,plain,
    ( ~ spl0_1
    | ~ spl0_13
    | spl0_107
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f3310]) ).

fof(f3312,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_147
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(forward_subsumption_resolution,[],[f3307,f909]) ).

fof(f3313,plain,
    ( ~ spl0_10
    | ~ spl0_13
    | ~ spl0_147
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f3312]) ).

fof(f3315,plain,
    ( ~ spl0_149
    | ~ spl0_4
    | ~ spl0_17
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2992,f912,f260,f215,f917]) ).

fof(f3316,plain,
    ( ~ spl0_165
    | ~ spl0_4
    | ~ spl0_17
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2997,f842,f260,f215,f2872]) ).

fof(f3342,plain,
    ( c3_1(a2293)
    | ~ spl0_7
    | ~ spl0_25
    | ~ spl0_124 ),
    inference(resolution,[],[f2098,f794]) ).

fof(f3345,plain,
    ( c3_1(a2282)
    | ~ spl0_7
    | ~ spl0_25
    | ~ spl0_118 ),
    inference(resolution,[],[f2098,f764]) ).

fof(f3347,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_25
    | spl0_68
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f3345,f514]) ).

fof(f3348,plain,
    ( ~ spl0_7
    | ~ spl0_25
    | spl0_68
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f3347]) ).

fof(f3351,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_25
    | spl0_80
    | ~ spl0_124 ),
    inference(forward_subsumption_resolution,[],[f3342,f574]) ).

fof(f3352,plain,
    ( ~ spl0_7
    | ~ spl0_25
    | spl0_80
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f3351]) ).

fof(f3360,plain,
    ( c3_1(a2303)
    | ~ c2_1(a2303)
    | ~ spl0_7
    | ~ spl0_132 ),
    inference(resolution,[],[f226,f834]) ).

fof(f3365,plain,
    ( ~ c2_1(a2303)
    | ~ spl0_7
    | spl0_88
    | ~ spl0_132 ),
    inference(forward_subsumption_resolution,[],[f3360,f614]) ).

fof(f3370,plain,
    ( $false
    | ~ spl0_7
    | spl0_88
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(forward_subsumption_resolution,[],[f3365,f829]) ).

fof(f3371,plain,
    ( ~ spl0_7
    | spl0_88
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f3370]) ).

fof(f3383,plain,
    ( c2_1(a2327)
    | c0_1(a2327)
    | ~ spl0_15
    | ~ spl0_139 ),
    inference(resolution,[],[f253,f869]) ).

fof(f3388,plain,
    ( c2_1(a2280)
    | c0_1(a2280)
    | ~ spl0_15
    | ~ spl0_116 ),
    inference(resolution,[],[f253,f754]) ).

fof(f3390,plain,
    ( c0_1(a2327)
    | ~ spl0_15
    | spl0_104
    | ~ spl0_139 ),
    inference(forward_subsumption_resolution,[],[f3383,f694]) ).

fof(f3391,plain,
    ( $false
    | ~ spl0_15
    | spl0_104
    | spl0_105
    | ~ spl0_139 ),
    inference(forward_subsumption_resolution,[],[f3390,f699]) ).

fof(f3392,plain,
    ( ~ spl0_15
    | spl0_104
    | spl0_105
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f3391]) ).

fof(f3403,plain,
    ( spl0_160
    | ~ spl0_32
    | spl0_81
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1351,f802,f577,f319,f1391]) ).

fof(f3456,plain,
    ( c2_1(a2291)
    | c0_1(a2291)
    | ~ spl0_44
    | spl0_78 ),
    inference(resolution,[],[f376,f564]) ).

fof(f3459,plain,
    ( c0_1(a2291)
    | ~ spl0_44
    | spl0_77
    | spl0_78 ),
    inference(forward_subsumption_resolution,[],[f3456,f559]) ).

fof(f3465,plain,
    ( $false
    | ~ spl0_44
    | spl0_77
    | spl0_78
    | spl0_79 ),
    inference(forward_subsumption_resolution,[],[f3459,f569]) ).

fof(f3466,plain,
    ( ~ spl0_44
    | spl0_77
    | spl0_78
    | spl0_79 ),
    inference(avatar_contradiction_clause,[],[f3465]) ).

fof(f3493,plain,
    ( spl0_102
    | ~ spl0_11
    | spl0_103
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2793,f862,f687,f239,f682]) ).

fof(f3496,plain,
    ( spl0_98
    | ~ spl0_14
    | spl0_97
    | spl0_165 ),
    inference(avatar_split_clause,[],[f2985,f2872,f657,f249,f662]) ).

fof(f3504,plain,
    ( spl0_98
    | ~ spl0_21
    | spl0_97
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f3230,f842,f657,f276,f662]) ).

fof(f3518,plain,
    ( ~ c3_1(a2278)
    | ~ c0_1(a2278)
    | ~ spl0_4
    | ~ spl0_148 ),
    inference(resolution,[],[f216,f914]) ).

fof(f3528,plain,
    ( ~ c0_1(a2278)
    | ~ spl0_4
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(forward_subsumption_resolution,[],[f3518,f909]) ).

fof(f3529,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_147
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(forward_subsumption_resolution,[],[f3528,f919]) ).

fof(f3530,plain,
    ( ~ spl0_4
    | ~ spl0_147
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f3529]) ).

fof(f3539,plain,
    ( ~ c0_1(a2323)
    | ~ spl0_1
    | spl0_99
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f3242,f669]) ).

fof(f3549,plain,
    ( c0_1(a2280)
    | ~ spl0_15
    | spl0_67
    | ~ spl0_116 ),
    inference(forward_subsumption_resolution,[],[f3388,f509]) ).

fof(f3567,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_11
    | spl0_99
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[],[f3539,f2576]) ).

fof(f3568,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | spl0_99
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f3567]) ).

fof(f3573,plain,
    ( $false
    | ~ spl0_15
    | spl0_67
    | ~ spl0_116
    | spl0_166 ),
    inference(forward_subsumption_resolution,[],[f3549,f3033]) ).

fof(f3574,plain,
    ( ~ spl0_15
    | spl0_67
    | ~ spl0_116
    | spl0_166 ),
    inference(avatar_contradiction_clause,[],[f3573]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f217]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f227]) ).

cnf(s3,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f237]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f247]) ).

cnf(s5,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_14
    | spl0_15 ),
    inference(sat_conversion,[],[f254]) ).

cnf(s6,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_17
    | spl0_18 ),
    inference(sat_conversion,[],[f265]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_18
    | spl0_19 ),
    inference(sat_conversion,[],[f270]) ).

cnf(s8,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f278]) ).

cnf(s9,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f286]) ).

cnf(s10,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f294]) ).

cnf(s11,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_26
    | spl0_27 ),
    inference(sat_conversion,[],[f302]) ).

cnf(s13,plain,
    ( ~ spl0_3
    | spl0_24
    | spl0_29
    | spl0_30 ),
    inference(sat_conversion,[],[f313]) ).

cnf(s14,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_31
    | spl0_32 ),
    inference(sat_conversion,[],[f321]) ).

cnf(s15,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_32
    | spl0_33 ),
    inference(sat_conversion,[],[f326]) ).

cnf(s16,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_25
    | spl0_34 ),
    inference(sat_conversion,[],[f331]) ).

cnf(s17,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_30
    | spl0_35 ),
    inference(sat_conversion,[],[f336]) ).

cnf(s18,plain,
    ( ~ spl0_3
    | spl0_25
    | spl0_30
    | spl0_36 ),
    inference(sat_conversion,[],[f341]) ).

cnf(s20,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_21
    | spl0_38 ),
    inference(sat_conversion,[],[f351]) ).

cnf(s21,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_39
    | spl0_40 ),
    inference(sat_conversion,[],[f359]) ).

cnf(s22,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_13
    | spl0_26 ),
    inference(sat_conversion,[],[f360]) ).

cnf(s23,plain,
    ( ~ spl0_3
    | spl0_27
    | spl0_32
    | spl0_34 ),
    inference(sat_conversion,[],[f361]) ).

cnf(s24,plain,
    ( ~ spl0_3
    | spl0_32
    | spl0_41
    | spl0_42 ),
    inference(sat_conversion,[],[f369]) ).

cnf(s25,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_43
    | spl0_44 ),
    inference(sat_conversion,[],[f377]) ).

cnf(s26,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_27
    | spl0_39 ),
    inference(sat_conversion,[],[f378]) ).

cnf(s27,plain,
    ( ~ spl0_3
    | spl0_25
    | spl0_26
    | spl0_44 ),
    inference(sat_conversion,[],[f379]) ).

cnf(s28,plain,
    ( ~ spl0_3
    | spl0_24
    | spl0_40
    | spl0_44 ),
    inference(sat_conversion,[],[f380]) ).

cnf(s29,plain,
    ( ~ spl0_3
    | spl0_45
    | spl0_46
    | spl0_47 ),
    inference(sat_conversion,[],[f392]) ).

cnf(s32,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_19
    | spl0_48 ),
    inference(sat_conversion,[],[f399]) ).

cnf(s33,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_19
    | spl0_49 ),
    inference(sat_conversion,[],[f404]) ).

cnf(s34,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_35
    | spl0_50 ),
    inference(sat_conversion,[],[f409]) ).

cnf(s35,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_36
    | spl0_51 ),
    inference(sat_conversion,[],[f414]) ).

cnf(s36,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_49
    | spl0_52 ),
    inference(sat_conversion,[],[f419]) ).

cnf(s37,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_51
    | spl0_53 ),
    inference(sat_conversion,[],[f424]) ).

cnf(s38,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_36
    | spl0_53 ),
    inference(sat_conversion,[],[f425]) ).

cnf(s39,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_22
    | spl0_35 ),
    inference(sat_conversion,[],[f426]) ).

cnf(s40,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_16
    | spl0_52 ),
    inference(sat_conversion,[],[f427]) ).

cnf(s41,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_53
    | spl0_54 ),
    inference(sat_conversion,[],[f432]) ).

cnf(s43,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_35
    | spl0_52 ),
    inference(sat_conversion,[],[f434]) ).

cnf(s45,plain,
    ( ~ spl0_3
    | spl0_22
    | spl0_30
    | spl0_48 ),
    inference(sat_conversion,[],[f436]) ).

cnf(s47,plain,
    ( ~ spl0_3
    | spl0_29
    | spl0_33
    | spl0_38 ),
    inference(sat_conversion,[],[f442]) ).

cnf(s48,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_37
    | spl0_55 ),
    inference(sat_conversion,[],[f443]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | spl0_31
    | spl0_32
    | spl0_54 ),
    inference(sat_conversion,[],[f444]) ).

cnf(s50,plain,
    ( ~ spl0_3
    | spl0_30
    | spl0_56 ),
    inference(sat_conversion,[],[f449]) ).

cnf(s51,plain,
    ( ~ spl0_3
    | spl0_33
    | spl0_38
    | spl0_57 ),
    inference(sat_conversion,[],[f453]) ).

cnf(s52,plain,
    ( ~ spl0_3
    | spl0_42
    | spl0_51
    | spl0_58 ),
    inference(sat_conversion,[],[f458]) ).

cnf(s53,plain,
    ( ~ spl0_3
    | spl0_26
    | spl0_33
    | spl0_42 ),
    inference(sat_conversion,[],[f459]) ).

cnf(s54,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_48
    | spl0_52 ),
    inference(sat_conversion,[],[f460]) ).

cnf(s57,plain,
    ( ~ spl0_3
    | spl0_40
    | spl0_50
    | spl0_60 ),
    inference(sat_conversion,[],[f470]) ).

cnf(s58,plain,
    ( ~ spl0_3
    | spl0_22
    | spl0_27 ),
    inference(sat_conversion,[],[f471]) ).

cnf(s59,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_53
    | spl0_61 ),
    inference(sat_conversion,[],[f476]) ).

cnf(s60,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_22
    | spl0_41 ),
    inference(sat_conversion,[],[f477]) ).

cnf(s61,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_60
    | spl0_62 ),
    inference(sat_conversion,[],[f482]) ).

cnf(s62,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_43
    | spl0_45 ),
    inference(sat_conversion,[],[f483]) ).

cnf(s64,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_44
    | spl0_49 ),
    inference(sat_conversion,[],[f485]) ).

cnf(s65,plain,
    ( ~ spl0_24
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f490]) ).

cnf(s66,plain,
    ( ~ spl0_26
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f495]) ).

cnf(s67,plain,
    ( ~ spl0_49
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f500]) ).

cnf(s68,plain,
    ( ~ spl0_49
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f505]) ).

cnf(s69,plain,
    ( ~ spl0_16
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f510]) ).

cnf(s70,plain,
    ( ~ spl0_52
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f515]) ).

cnf(s71,plain,
    ( ~ spl0_52
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f520]) ).

cnf(s72,plain,
    ( ~ spl0_39
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f525]) ).

cnf(s73,plain,
    ( ~ spl0_39
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f530]) ).

cnf(s74,plain,
    ( ~ spl0_39
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f535]) ).

cnf(s75,plain,
    ( ~ spl0_60
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f540]) ).

cnf(s76,plain,
    ( ~ spl0_50
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f545]) ).

cnf(s77,plain,
    ( ~ spl0_50
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f550]) ).

cnf(s78,plain,
    ( ~ spl0_37
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f555]) ).

cnf(s79,plain,
    ( ~ spl0_45
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f560]) ).

cnf(s80,plain,
    ( ~ spl0_45
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f565]) ).

cnf(s81,plain,
    ( ~ spl0_45
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f570]) ).

cnf(s82,plain,
    ( ~ spl0_62
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f575]) ).

cnf(s83,plain,
    ( ~ spl0_41
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f580]) ).

cnf(s84,plain,
    ( ~ spl0_41
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s85,plain,
    ( ~ spl0_22
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f590]) ).

cnf(s86,plain,
    ( ~ spl0_22
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s87,plain,
    ( ~ spl0_48
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f600]) ).

cnf(s88,plain,
    ( ~ spl0_48
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f605]) ).

cnf(s89,plain,
    ( ~ spl0_33
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f610]) ).

cnf(s90,plain,
    ( ~ spl0_58
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f615]) ).

cnf(s91,plain,
    ( ~ spl0_51
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f620]) ).

cnf(s92,plain,
    ( ~ spl0_51
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f625]) ).

cnf(s93,plain,
    ( ~ spl0_51
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f630]) ).

cnf(s94,plain,
    ( ~ spl0_38
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f635]) ).

cnf(s95,plain,
    ( ~ spl0_38
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f640]) ).

cnf(s96,plain,
    ( ~ spl0_38
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f645]) ).

cnf(s97,plain,
    ( ~ spl0_19
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f650]) ).

cnf(s98,plain,
    ( ~ spl0_19
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s99,plain,
    ( ~ spl0_35
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f660]) ).

cnf(s100,plain,
    ( ~ spl0_35
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s101,plain,
    ( ~ spl0_56
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f670]) ).

cnf(s102,plain,
    ( ~ spl0_53
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f675]) ).

cnf(s103,plain,
    ( ~ spl0_53
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f680]) ).

cnf(s104,plain,
    ( ~ spl0_61
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f685]) ).

cnf(s105,plain,
    ( ~ spl0_61
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s106,plain,
    ( ~ spl0_34
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f695]) ).

cnf(s107,plain,
    ( ~ spl0_34
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f700]) ).

cnf(s108,plain,
    ( ~ spl0_54
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f705]) ).

cnf(s109,plain,
    ( ~ spl0_31
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f710]) ).

cnf(s110,plain,
    ( ~ spl0_20
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f715]) ).

cnf(s111,plain,
    ( ~ spl0_20
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f720]) ).

cnf(s112,plain,
    ( ~ spl0_46
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f725]) ).

cnf(s113,plain,
    ( ~ spl0_24
    | spl0_111 ),
    inference(sat_conversion,[],[f730]) ).

cnf(s114,plain,
    ( ~ spl0_24
    | spl0_112 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s115,plain,
    ( ~ spl0_26
    | spl0_113 ),
    inference(sat_conversion,[],[f740]) ).

cnf(s116,plain,
    ( ~ spl0_26
    | spl0_114 ),
    inference(sat_conversion,[],[f745]) ).

cnf(s117,plain,
    ( ~ spl0_49
    | spl0_115 ),
    inference(sat_conversion,[],[f750]) ).

cnf(s118,plain,
    ( ~ spl0_16
    | spl0_116 ),
    inference(sat_conversion,[],[f755]) ).

cnf(s119,plain,
    ( ~ spl0_16
    | spl0_117 ),
    inference(sat_conversion,[],[f760]) ).

cnf(s120,plain,
    ( ~ spl0_52
    | spl0_118 ),
    inference(sat_conversion,[],[f765]) ).

cnf(s121,plain,
    ( ~ spl0_60
    | spl0_119 ),
    inference(sat_conversion,[],[f770]) ).

cnf(s122,plain,
    ( ~ spl0_60
    | spl0_120 ),
    inference(sat_conversion,[],[f775]) ).

cnf(s123,plain,
    ( ~ spl0_50
    | spl0_121 ),
    inference(sat_conversion,[],[f780]) ).

cnf(s124,plain,
    ( ~ spl0_37
    | spl0_122 ),
    inference(sat_conversion,[],[f785]) ).

cnf(s125,plain,
    ( ~ spl0_37
    | spl0_123 ),
    inference(sat_conversion,[],[f790]) ).

cnf(s126,plain,
    ( ~ spl0_62
    | spl0_124 ),
    inference(sat_conversion,[],[f795]) ).

cnf(s127,plain,
    ( ~ spl0_62
    | spl0_125 ),
    inference(sat_conversion,[],[f800]) ).

cnf(s128,plain,
    ( ~ spl0_41
    | spl0_126 ),
    inference(sat_conversion,[],[f805]) ).

cnf(s129,plain,
    ( ~ spl0_22
    | spl0_127 ),
    inference(sat_conversion,[],[f810]) ).

cnf(s130,plain,
    ( ~ spl0_48
    | spl0_128 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s131,plain,
    ( ~ spl0_33
    | spl0_129 ),
    inference(sat_conversion,[],[f820]) ).

cnf(s132,plain,
    ( ~ spl0_33
    | spl0_130 ),
    inference(sat_conversion,[],[f825]) ).

cnf(s133,plain,
    ( ~ spl0_58
    | spl0_131 ),
    inference(sat_conversion,[],[f830]) ).

cnf(s134,plain,
    ( ~ spl0_58
    | spl0_132 ),
    inference(sat_conversion,[],[f835]) ).

cnf(s135,plain,
    ( ~ spl0_19
    | spl0_133 ),
    inference(sat_conversion,[],[f840]) ).

cnf(s136,plain,
    ( ~ spl0_35
    | spl0_134 ),
    inference(sat_conversion,[],[f845]) ).

cnf(s137,plain,
    ( ~ spl0_56
    | spl0_135 ),
    inference(sat_conversion,[],[f850]) ).

cnf(s138,plain,
    ( ~ spl0_56
    | spl0_136 ),
    inference(sat_conversion,[],[f855]) ).

cnf(s139,plain,
    ( ~ spl0_53
    | spl0_137 ),
    inference(sat_conversion,[],[f860]) ).

cnf(s140,plain,
    ( ~ spl0_61
    | spl0_138 ),
    inference(sat_conversion,[],[f865]) ).

cnf(s141,plain,
    ( ~ spl0_34
    | spl0_139 ),
    inference(sat_conversion,[],[f870]) ).

cnf(s142,plain,
    ( ~ spl0_54
    | spl0_140 ),
    inference(sat_conversion,[],[f875]) ).

cnf(s143,plain,
    ( ~ spl0_54
    | spl0_141 ),
    inference(sat_conversion,[],[f880]) ).

cnf(s144,plain,
    ( ~ spl0_31
    | spl0_142 ),
    inference(sat_conversion,[],[f885]) ).

cnf(s145,plain,
    ( ~ spl0_31
    | spl0_143 ),
    inference(sat_conversion,[],[f890]) ).

cnf(s146,plain,
    ( ~ spl0_20
    | spl0_144 ),
    inference(sat_conversion,[],[f895]) ).

cnf(s147,plain,
    ( ~ spl0_46
    | spl0_145 ),
    inference(sat_conversion,[],[f900]) ).

cnf(s148,plain,
    ( ~ spl0_46
    | spl0_146 ),
    inference(sat_conversion,[],[f905]) ).

cnf(s149,plain,
    ( ~ spl0_43
    | spl0_147 ),
    inference(sat_conversion,[],[f910]) ).

cnf(s150,plain,
    ( ~ spl0_43
    | spl0_148 ),
    inference(sat_conversion,[],[f915]) ).

cnf(s151,plain,
    ( ~ spl0_43
    | spl0_149 ),
    inference(sat_conversion,[],[f920]) ).

cnf(s152,plain,
    ( ~ spl0_55
    | spl0_150 ),
    inference(sat_conversion,[],[f925]) ).

cnf(s154,plain,
    ( ~ spl0_55
    | spl0_152 ),
    inference(sat_conversion,[],[f935]) ).

cnf(s155,plain,
    ( ~ spl0_36
    | spl0_153 ),
    inference(sat_conversion,[],[f940]) ).

cnf(s156,plain,
    ( ~ spl0_36
    | spl0_154 ),
    inference(sat_conversion,[],[f945]) ).

cnf(s157,plain,
    ( ~ spl0_36
    | spl0_155 ),
    inference(sat_conversion,[],[f950]) ).

cnf(s163,plain,
    ( spl0_35
    | spl0_37
    | spl0_62 ),
    inference(sat_conversion,[],[f972]) ).

cnf(s164,plain,
    ( spl0_19
    | spl0_61
    | spl0_157 ),
    inference(sat_conversion,[],[f973]) ).

cnf(s167,plain,
    ( spl0_36
    | spl0_41
    | spl0_60 ),
    inference(sat_conversion,[],[f976]) ).

cnf(s169,plain,
    ( spl0_20
    | spl0_43
    | spl0_51 ),
    inference(sat_conversion,[],[f978]) ).

cnf(s170,plain,
    ( spl0_24
    | spl0_43
    | spl0_48 ),
    inference(sat_conversion,[],[f979]) ).

cnf(s190,plain,
    ( spl0_3
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f999]) ).

cnf(s194,plain,
    ( spl0_3
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f1003]) ).

cnf(s203,plain,
    ( spl0_3
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1012]) ).

cnf(s204,plain,
    ( ~ spl0_4
    | ~ spl0_17
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f1022]) ).

cnf(s205,plain,
    ( ~ spl0_4
    | ~ spl0_17
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1024]) ).

cnf(s206,plain,
    ( ~ spl0_6
    | ~ spl0_18
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f1030]) ).

cnf(s223,plain,
    ( ~ spl0_14
    | ~ spl0_32
    | spl0_92
    | spl0_93 ),
    inference(sat_conversion,[],[f1101]) ).

cnf(s228,plain,
    ( ~ spl0_8
    | spl0_92
    | spl0_93
    | spl0_94 ),
    inference(sat_conversion,[],[f1142]) ).

cnf(s267,plain,
    ( ~ spl0_4
    | ~ spl0_32
    | spl0_64
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f1355]) ).

cnf(s277,plain,
    ( ~ spl0_27
    | spl0_82
    | ~ spl0_126
    | spl0_160 ),
    inference(sat_conversion,[],[f1410]) ).

cnf(s278,plain,
    ( ~ spl0_27
    | spl0_83
    | spl0_84
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f1411]) ).

cnf(s285,plain,
    ( ~ spl0_30
    | ~ spl0_57
    | spl0_69
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f1427]) ).

cnf(s297,plain,
    ( ~ spl0_12
    | ~ spl0_47
    | ~ spl0_153
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1473]) ).

cnf(s336,plain,
    ( ~ spl0_29
    | ~ spl0_42
    | spl0_63
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f1583]) ).

cnf(s362,plain,
    ( ~ spl0_17
    | ~ spl0_27
    | spl0_73
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1694]) ).

cnf(s363,plain,
    ( ~ spl0_17
    | ~ spl0_27
    | spl0_80
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1696]) ).

cnf(s382,plain,
    ( ~ spl0_32
    | spl0_65
    | spl0_66
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f1782]) ).

cnf(s389,plain,
    ( ~ spl0_5
    | ~ spl0_10
    | ~ spl0_32
    | spl0_73
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1827]) ).

cnf(s391,plain,
    ( ~ spl0_1
    | spl0_106
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f1844]) ).

cnf(s394,plain,
    ( ~ spl0_1
    | spl0_82
    | ~ spl0_126
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1880]) ).

cnf(s406,plain,
    ( ~ spl0_12
    | ~ spl0_25
    | ~ spl0_32
    | spl0_83
    | spl0_84
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f1919]) ).

cnf(s419,plain,
    ( ~ spl0_8
    | ~ spl0_21
    | spl0_89
    | spl0_90 ),
    inference(sat_conversion,[],[f1964]) ).

cnf(s420,plain,
    ( ~ spl0_30
    | spl0_87
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1983]) ).

cnf(s422,plain,
    ( ~ spl0_6
    | ~ spl0_32
    | spl0_83
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f1993]) ).

cnf(s423,plain,
    ( ~ spl0_6
    | ~ spl0_32
    | spl0_73
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1994]) ).

cnf(s426,plain,
    ( ~ spl0_8
    | ~ spl0_30
    | ~ spl0_57
    | spl0_70
    | spl0_71
    | spl0_72 ),
    inference(sat_conversion,[],[f2006]) ).

cnf(s430,plain,
    ( ~ spl0_1
    | ~ spl0_27
    | spl0_76
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f2017]) ).

cnf(s431,plain,
    ( ~ spl0_5
    | ~ spl0_10
    | ~ spl0_154
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2020]) ).

cnf(s437,plain,
    ( ~ spl0_13
    | ~ spl0_32
    | spl0_64
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f2041]) ).

cnf(s438,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | spl0_63
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f2043]) ).

cnf(s453,plain,
    ( ~ spl0_15
    | ~ spl0_30
    | spl0_109
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f2096]) ).

cnf(s506,plain,
    ( ~ spl0_4
    | ~ spl0_17
    | ~ spl0_155
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2247]) ).

cnf(s509,plain,
    ( ~ spl0_9
    | ~ spl0_32
    | spl0_64
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f2252]) ).

cnf(s520,plain,
    ( ~ spl0_5
    | spl0_110
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f2281]) ).

cnf(s545,plain,
    ( ~ spl0_12
    | spl0_99
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f2425]) ).

cnf(s546,plain,
    ( ~ spl0_2
    | spl0_64
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f2446]) ).

cnf(s555,plain,
    ( ~ spl0_6
    | ~ spl0_18
    | ~ spl0_150
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f2493]) ).

cnf(s561,plain,
    ( ~ spl0_30
    | ~ spl0_153
    | ~ spl0_154
    | spl0_161 ),
    inference(sat_conversion,[],[f2557]) ).

cnf(s566,plain,
    ( ~ spl0_2
    | ~ spl0_14
    | spl0_97
    | spl0_98
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f2608]) ).

cnf(s569,plain,
    ( ~ spl0_9
    | ~ spl0_40
    | spl0_95
    | spl0_96
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f2700]) ).

cnf(s573,plain,
    ( ~ spl0_42
    | spl0_100
    | spl0_101
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f2726]) ).

cnf(s575,plain,
    ( ~ spl0_13
    | spl0_67
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f2732]) ).

cnf(s576,plain,
    ( ~ spl0_13
    | ~ spl0_42
    | spl0_74
    | spl0_75
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f2745]) ).

cnf(s577,plain,
    ( ~ spl0_13
    | ~ spl0_30
    | spl0_63
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f2747]) ).

cnf(s582,plain,
    ( ~ spl0_2
    | ~ spl0_10
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f2755]) ).

cnf(s583,plain,
    ( ~ spl0_2
    | ~ spl0_10
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f2772]) ).

cnf(s590,plain,
    ( ~ spl0_7
    | ~ spl0_21
    | spl0_100
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f2826]) ).

cnf(s593,plain,
    ( ~ spl0_11
    | ~ spl0_44
    | spl0_108
    | spl0_109 ),
    inference(sat_conversion,[],[f2849]) ).

cnf(s595,plain,
    ( ~ spl0_17
    | ~ spl0_27
    | spl0_65
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f2860]) ).

cnf(s597,plain,
    ( ~ spl0_9
    | spl0_81
    | ~ spl0_126
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2864]) ).

cnf(s605,plain,
    ( ~ spl0_25
    | spl0_85
    | spl0_86
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f2967]) ).

cnf(s606,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | ~ spl0_44
    | spl0_95
    | spl0_96
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f2970]) ).

cnf(s611,plain,
    ( ~ spl0_14
    | ~ spl0_40
    | spl0_44 ),
    inference(sat_conversion,[],[f2982]) ).

cnf(s617,plain,
    ( ~ spl0_1
    | ~ spl0_27
    | spl0_106
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f3009]) ).

cnf(s619,plain,
    ( ~ spl0_1
    | ~ spl0_27
    | spl0_82
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f3011]) ).

cnf(s626,plain,
    ( ~ spl0_13
    | ~ spl0_21
    | spl0_74
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f3023]) ).

cnf(s627,plain,
    ( ~ spl0_14
    | ~ spl0_32
    | spl0_97
    | spl0_98 ),
    inference(sat_conversion,[],[f3025]) ).

cnf(s632,plain,
    ( ~ spl0_5
    | ~ spl0_14
    | spl0_100
    | spl0_101
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f3048]) ).

cnf(s640,plain,
    ( ~ spl0_5
    | ~ spl0_14
    | spl0_100
    | spl0_101
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f3062]) ).

cnf(s649,plain,
    ( ~ spl0_4
    | ~ spl0_29
    | ~ spl0_153
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f3092]) ).

cnf(s654,plain,
    ( ~ spl0_13
    | ~ spl0_47
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f3124]) ).

cnf(s666,plain,
    ( ~ spl0_5
    | ~ spl0_11
    | spl0_69
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f3165]) ).

cnf(s673,plain,
    ( ~ spl0_11
    | ~ spl0_23
    | spl0_86
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f3177]) ).

cnf(s676,plain,
    ( ~ spl0_40
    | spl0_108
    | spl0_109
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f3180]) ).

cnf(s678,plain,
    ( ~ spl0_4
    | ~ spl0_116
    | ~ spl0_117
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f3186]) ).

cnf(s690,plain,
    ( ~ spl0_9
    | spl0_107
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f3216]) ).

cnf(s693,plain,
    ( ~ spl0_6
    | spl0_80
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f3225]) ).

cnf(s694,plain,
    ( ~ spl0_14
    | spl0_89
    | spl0_90
    | spl0_91 ),
    inference(sat_conversion,[],[f3228]) ).

cnf(s700,plain,
    ( ~ spl0_10
    | ~ spl0_154
    | ~ spl0_155
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f3290]) ).

cnf(s702,plain,
    ( ~ spl0_1
    | ~ spl0_13
    | spl0_107
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f3311]) ).

cnf(s703,plain,
    ( ~ spl0_10
    | ~ spl0_13
    | ~ spl0_147
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f3313]) ).

cnf(s704,plain,
    ( ~ spl0_4
    | ~ spl0_17
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f3315]) ).

cnf(s705,plain,
    ( ~ spl0_4
    | ~ spl0_17
    | ~ spl0_134
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f3316]) ).

cnf(s706,plain,
    ( ~ spl0_7
    | ~ spl0_25
    | spl0_68
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f3348]) ).

cnf(s708,plain,
    ( ~ spl0_7
    | ~ spl0_25
    | spl0_80
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f3352]) ).

cnf(s711,plain,
    ( ~ spl0_7
    | spl0_88
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f3371]) ).

cnf(s713,plain,
    ( ~ spl0_15
    | spl0_104
    | spl0_105
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f3392]) ).

cnf(s717,plain,
    ( ~ spl0_32
    | spl0_81
    | ~ spl0_126
    | spl0_160 ),
    inference(sat_conversion,[],[f3403]) ).

cnf(s725,plain,
    ( ~ spl0_44
    | spl0_77
    | spl0_78
    | spl0_79 ),
    inference(sat_conversion,[],[f3466]) ).

cnf(s733,plain,
    ( ~ spl0_11
    | spl0_102
    | spl0_103
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f3493]) ).

cnf(s735,plain,
    ( ~ spl0_14
    | spl0_97
    | spl0_98
    | spl0_165 ),
    inference(sat_conversion,[],[f3496]) ).

cnf(s739,plain,
    ( ~ spl0_21
    | spl0_97
    | spl0_98
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f3504]) ).

cnf(s748,plain,
    ( ~ spl0_4
    | ~ spl0_147
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f3530]) ).

cnf(s761,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | spl0_99
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f3568]) ).

cnf(s764,plain,
    ( ~ spl0_15
    | spl0_67
    | ~ spl0_116
    | spl0_166 ),
    inference(sat_conversion,[],[f3574]) ).

cnf(s765,plain,
    spl0_3,
    inference(rat,[],[s164,s190,s194,s203]) ).

cnf(s766,plain,
    ( ~ spl0_34
    | ~ spl0_15 ),
    inference(rat,[],[s713,s106,s107,s141]) ).

cnf(s767,plain,
    ( ~ spl0_60
    | ~ spl0_17
    | ~ spl0_4 ),
    inference(rat,[],[s205,s121,s122]) ).

cnf(s770,plain,
    ( spl0_30
    | spl0_24
    | spl0_25
    | ~ spl0_4 ),
    inference(rat,[],[s649,s155,s157,s13,s18,s765]) ).

cnf(s771,plain,
    ( ~ spl0_26
    | ~ spl0_17
    | ~ spl0_4 ),
    inference(rat,[],[s204,s115,s116]) ).

cnf(s773,plain,
    ( ~ spl0_45
    | ~ spl0_44 ),
    inference(rat,[],[s725,s79,s80,s81]) ).

cnf(s774,plain,
    ( ~ spl0_17
    | spl0_14
    | ~ spl0_7
    | ~ spl0_4 ),
    inference(rat,[],[s704,s150,s151,s62,s773,s27,s708,s82,s126,s61,s771,s767,s765]) ).

cnf(s775,plain,
    ( ~ spl0_52
    | ~ spl0_25
    | ~ spl0_7 ),
    inference(rat,[],[s706,s70,s120]) ).

cnf(s777,plain,
    ( ~ spl0_51
    | ~ spl0_14 ),
    inference(rat,[],[s694,s91,s92,s93]) ).

cnf(s778,plain,
    ( ~ spl0_38
    | ~ spl0_32
    | ~ spl0_14 ),
    inference(rat,[],[s223,s94,s95]) ).

cnf(s779,plain,
    ( ~ spl0_50
    | ~ spl0_21
    | ~ spl0_13 ),
    inference(rat,[],[s626,s76,s123]) ).

cnf(s780,plain,
    ( ~ spl0_20
    | ~ spl0_40 ),
    inference(rat,[],[s676,s110,s111,s146]) ).

cnf(s781,plain,
    ( ~ spl0_43
    | ~ spl0_17
    | ~ spl0_4 ),
    inference(rat,[],[s704,s150,s151]) ).

cnf(s782,plain,
    ( ~ spl0_17
    | ~ spl0_153
    | ~ spl0_154
    | ~ spl0_155
    | ~ spl0_14
    | ~ spl0_13
    | ~ spl0_4 ),
    inference(rat,[],[s735,s705,s99,s100,s136,s17,s779,s57,s780,s169,s781,s561,s506,s767,s777,s765]) ).

cnf(s783,plain,
    ( ~ spl0_58
    | ~ spl0_7 ),
    inference(rat,[],[s711,s90,s133,s134]) ).

cnf(s785,plain,
    ( ~ spl0_53
    | ~ spl0_42 ),
    inference(rat,[],[s573,s102,s103,s139]) ).

cnf(s787,plain,
    ( spl0_14
    | spl0_6
    | spl0_5
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s764,s678,s69,s118,s119,s40,s545,s101,s137,s138,s50,s420,s89,s131,s132,s15,s382,s67,s68,s117,s36,s775,s16,s766,s774,s5,s2,s765]) ).

cnf(s788,plain,
    ( spl0_6
    | spl0_5
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s593,s110,s111,s22,s25,s169,s782,s781,s771,s37,s785,s155,s156,s157,s52,s35,s777,s787,s783,s2,s765]) ).

cnf(s789,plain,
    ( ~ spl0_62
    | ~ spl0_6 ),
    inference(rat,[],[s693,s82,s126,s127]) ).

cnf(s791,plain,
    ( ~ spl0_48
    | ~ spl0_25 ),
    inference(rat,[],[s605,s87,s88,s130]) ).

cnf(s792,plain,
    ( spl0_14
    | spl0_5
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s278,s85,s86,s129,s45,s791,s420,s89,s131,s132,s15,s23,s16,s423,s767,s75,s122,s61,s766,s5,s789,s788,s765]) ).

cnf(s793,plain,
    ( spl0_13
    | spl0_108
    | spl0_109
    | spl0_43
    | spl0_26 ),
    inference(rat,[],[s593,s22,s25,s765]) ).

cnf(s794,plain,
    ( ~ spl0_17
    | ~ spl0_14
    | ~ spl0_4 ),
    inference(rat,[],[s735,s705,s99,s100,s136,s17,s420,s89,s131,s132,s53,s576,s779,s793,s76,s77,s123,s57,s780,s110,s111,s169,s781,s771,s767,s777,s765]) ).

cnf(s795,plain,
    ( ~ spl0_16
    | ~ spl0_13 ),
    inference(rat,[],[s575,s69,s118,s119]) ).

cnf(s796,plain,
    ( ~ spl0_37
    | ~ spl0_18
    | ~ spl0_6 ),
    inference(rat,[],[s206,s124,s125]) ).

cnf(s797,plain,
    ( ~ spl0_18
    | ~ spl0_6
    | spl0_5 ),
    inference(rat,[],[s555,s152,s154,s48,s796,s765]) ).

cnf(s798,plain,
    ( spl0_43
    | spl0_26
    | spl0_13
    | spl0_51 ),
    inference(rat,[],[s793,s110,s111,s169]) ).

cnf(s799,plain,
    ( ~ spl0_43
    | ~ spl0_4 ),
    inference(rat,[],[s748,s149,s150,s151]) ).

cnf(s800,plain,
    ( spl0_5
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s545,s101,s137,s138,s50,s420,s89,s131,s132,s15,s4,s267,s593,s66,s115,s116,s110,s111,s798,s25,s169,s795,s6,s797,s794,s777,s792,s788,s799,s765]) ).

cnf(s801,plain,
    ( ~ spl0_24
    | ~ spl0_13
    | ~ spl0_5 ),
    inference(rat,[],[s438,s65,s113,s114]) ).

cnf(s802,plain,
    ( spl0_44
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s791,s170,s770,s801,s420,s89,s131,s132,s15,s382,s67,s68,s117,s64,s795,s25,s799,s800,s765]) ).

cnf(s803,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s640,s102,s103,s139,s37,s794,s777,s62,s773,s802,s800,s799,s1,s765]) ).

cnf(s804,plain,
    ( spl0_5
    | spl0_14
    | spl0_43 ),
    inference(rat,[],[s545,s101,s137,s138,s50,s577,s40,s65,s113,s114,s775,s170,s2,s791,s797,s16,s6,s595,s23,s766,s5,s382,s67,s68,s117,s64,s795,s25,s773,s62,s765]) ).

cnf(s805,plain,
    ( ~ spl0_26
    | ~ spl0_2 ),
    inference(rat,[],[s546,s66,s115,s116]) ).

cnf(s806,plain,
    ( spl0_14
    | spl0_43
    | spl0_26 ),
    inference(rat,[],[s170,s791,s801,s27,s25,s773,s804,s62,s765]) ).

cnf(s807,plain,
    ( ~ spl0_4
    | spl0_26 ),
    inference(rat,[],[s2,s797,s783,s6,s52,s640,s795,s785,s102,s103,s139,s798,s37,s794,s777,s806,s799,s765]) ).

cnf(s808,plain,
    ( ~ spl0_38
    | ~ spl0_8 ),
    inference(rat,[],[s228,s94,s95,s96]) ).

cnf(s811,plain,
    ( spl0_9
    | spl0_22
    | spl0_5
    | spl0_10 ),
    inference(rat,[],[s739,s99,s100,s136,s39,s20,s808,s3,s765]) ).

cnf(s812,plain,
    ( spl0_22
    | spl0_5
    | ~ spl0_27
    | spl0_10
    | spl0_14 ),
    inference(rat,[],[s597,s811,s277,s83,s84,s128,s60,s765]) ).

cnf(s813,plain,
    ( ~ spl0_22
    | ~ spl0_27 ),
    inference(rat,[],[s278,s85,s86,s129]) ).

cnf(s814,plain,
    ( ~ spl0_60
    | ~ spl0_17
    | ~ spl0_27 ),
    inference(rat,[],[s362,s75,s122]) ).

cnf(s816,plain,
    ( ~ spl0_46
    | ~ spl0_5 ),
    inference(rat,[],[s520,s112,s147,s148]) ).

cnf(s817,plain,
    ( ~ spl0_13
    | spl0_40
    | ~ spl0_5
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(rat,[],[s773,s28,s29,s801,s654,s816,s765]) ).

cnf(s818,plain,
    ( spl0_14
    | ~ spl0_2 ),
    inference(rat,[],[s666,s71,s120,s54,s453,s45,s791,s27,s593,s22,s817,s780,s110,s111,s146,s8,s739,s99,s100,s136,s39,s597,s277,s83,s84,s128,s812,s60,s813,s11,s582,s149,s150,s151,s806,s807,s805,s765]) ).

cnf(s819,plain,
    ( ~ spl0_35
    | ~ spl0_2 ),
    inference(rat,[],[s566,s99,s100,s136,s818]) ).

cnf(s820,plain,
    ( ~ spl0_60
    | ~ spl0_10
    | ~ spl0_2 ),
    inference(rat,[],[s583,s121,s122]) ).

cnf(s821,plain,
    ( ~ spl0_50
    | ~ spl0_13
    | ~ spl0_2 ),
    inference(rat,[],[s420,s89,s131,s132,s53,s17,s576,s779,s76,s77,s123,s805,s819,s765]) ).

cnf(s822,plain,
    ( ~ spl0_10
    | spl0_50
    | ~ spl0_2 ),
    inference(rat,[],[s582,s150,s151,s169,s780,s57,s820,s777,s818,s765]) ).

cnf(s823,plain,
    ( ~ spl0_31
    | ~ spl0_9 ),
    inference(rat,[],[s690,s109,s144,s145]) ).

cnf(s825,plain,
    ( ~ spl0_62
    | ~ spl0_17
    | ~ spl0_27 ),
    inference(rat,[],[s363,s82,s127]) ).

cnf(s826,plain,
    ( ~ spl0_19
    | ~ spl0_40
    | ~ spl0_9 ),
    inference(rat,[],[s569,s97,s98,s135]) ).

cnf(s827,plain,
    ( ~ spl0_17
    | ~ spl0_9
    | ~ spl0_27
    | spl0_10
    | spl0_50 ),
    inference(rat,[],[s595,s67,s117,s33,s826,s57,s814,s765]) ).

cnf(s828,plain,
    ( spl0_50
    | spl0_5
    | ~ spl0_2 ),
    inference(rat,[],[s37,s827,s811,s813,s11,s822,s785,s52,s783,s34,s805,s777,s818,s819,s765]) ).

cnf(s829,plain,
    ( spl0_19
    | spl0_22
    | spl0_10
    | ~ spl0_11
    | spl0_5 ),
    inference(rat,[],[s673,s9,s88,s130,s797,s32,s7,s765]) ).

cnf(s832,plain,
    ( ~ spl0_33
    | ~ spl0_30 ),
    inference(rat,[],[s420,s89,s131,s132]) ).

cnf(s833,plain,
    ( spl0_5
    | spl0_1 ),
    inference(rat,[],[s733,s104,s105,s140,s59,s808,s785,s51,s53,s832,s285,s45,s791,s27,s606,s97,s98,s135,s829,s811,s813,s11,s582,s150,s151,s22,s798,s821,s828,s805,s777,s818,s120,s71,s43,s819,s803,s765]) ).

cnf(s834,plain,
    spl0_1,
    inference(rat,[],[s775,s34,s10,s821,s801,s22,s666,s833,s71,s120,s43,s819,s807,s805,s803,s765]) ).

cnf(s838,plain,
    ( ~ spl0_37
    | ~ spl0_27 ),
    inference(rat,[],[s430,s78,s125,s834]) ).

cnf(s839,plain,
    ( ~ spl0_27
    | ~ spl0_2 ),
    inference(rat,[],[s590,s20,s2,s640,s102,s103,s139,s778,s37,s14,s825,s789,s163,s838,s823,s39,s813,s819,s777,s818,s765]) ).

cnf(s840,plain,
    ~ spl0_2,
    inference(rat,[],[s582,s150,s151,s798,s821,s822,s11,s839,s777,s818,s805,s765]) ).

cnf(s841,plain,
    ( ~ spl0_41
    | ~ spl0_27 ),
    inference(rat,[],[s619,s84,s128,s834]) ).

cnf(s845,plain,
    ( ~ spl0_54
    | ~ spl0_27 ),
    inference(rat,[],[s617,s108,s143,s834]) ).

cnf(s848,plain,
    ( spl0_32
    | ~ spl0_27 ),
    inference(rat,[],[s545,s101,s137,s138,s41,s50,s785,s832,s24,s15,s841,s845,s765,s840]) ).

cnf(s849,plain,
    ( ~ spl0_35
    | ~ spl0_27 ),
    inference(rat,[],[s627,s99,s100,s60,s841,s813,s848,s765]) ).

cnf(s850,plain,
    ~ spl0_27,
    inference(rat,[],[s590,s2,s20,s640,s102,s103,s139,s37,s825,s789,s163,s849,s778,s848,s777,s60,s841,s838,s813,s765]) ).

cnf(s851,plain,
    spl0_22,
    inference(rat,[],[s58,s765,s850]) ).

cnf(s852,plain,
    spl0_127,
    inference(rat,[],[s129,s851]) ).

cnf(s853,plain,
    ~ spl0_84,
    inference(rat,[],[s86,s851]) ).

cnf(s854,plain,
    ~ spl0_83,
    inference(rat,[],[s85,s851]) ).

cnf(s855,plain,
    ~ spl0_54,
    inference(rat,[],[s391,s108,s142,s143,s834]) ).

cnf(s856,plain,
    ( ~ spl0_13
    | ~ spl0_114
    | spl0_64
    | ~ spl0_113 ),
    inference(rat,[],[s702,s109,s144,s145,s49,s437,s855,s765,s834]) ).

cnf(s857,plain,
    ( ~ spl0_9
    | ~ spl0_26 ),
    inference(rat,[],[s49,s509,s823,s116,s66,s765,s855]) ).

cnf(s858,plain,
    ( ~ spl0_32
    | spl0_38
    | spl0_51
    | spl0_5 ),
    inference(rat,[],[s545,s101,s137,s138,s50,s832,s47,s336,s65,s114,s10,s406,s41,s785,s52,s783,s2,s422,s800,s765,s854,s853,s852,s855,s840]) ).

cnf(s859,plain,
    ( spl0_10
    | spl0_51
    | spl0_5 ),
    inference(rat,[],[s4,s761,s545,s101,s137,s138,s50,s832,s15,s858,s808,s3,s857,s856,s66,s115,s116,s11,s765,s834,s840,s850]) ).

cnf(s860,plain,
    ( ~ spl0_32
    | ~ spl0_14
    | spl0_5 ),
    inference(rat,[],[s858,s778,s777]) ).

cnf(s861,plain,
    spl0_32,
    inference(rat,[],[s4,s761,s545,s101,s137,s138,s702,s50,s109,s144,s145,s832,s49,s15,s765,s834,s855,s840]) ).

cnf(s862,plain,
    ~ spl0_6,
    inference(rat,[],[s422,s852,s854,s861]) ).

cnf(s864,plain,
    ( spl0_10
    | spl0_5 ),
    inference(rat,[],[s20,s808,s419,s3,s91,s92,s857,s859,s11,s765,s850]) ).

cnf(s867,plain,
    ( spl0_53
    | spl0_5 ),
    inference(rat,[],[s545,s101,s137,s138,s50,s561,s700,s155,s156,s157,s41,s38,s703,s864,s149,s150,s151,s804,s860,s765,s855,s861]) ).

cnf(s868,plain,
    spl0_5,
    inference(rat,[],[s4,s761,s545,s101,s137,s138,s50,s453,s111,s146,s8,s590,s102,s139,s867,s703,s864,s149,s150,s151,s804,s5,s2,s860,s800,s765,s834,s862,s861,s840]) ).

cnf(s869,plain,
    ~ spl0_46,
    inference(rat,[],[s816,s868]) ).

cnf(s871,plain,
    ( ~ spl0_56
    | ~ spl0_12 ),
    inference(rat,[],[s545,s101,s137,s138]) ).

cnf(s872,plain,
    ( ~ spl0_12
    | ~ spl0_14
    | ~ spl0_8 ),
    inference(rat,[],[s51,s426,s832,s50,s871,s72,s73,s74,s21,s611,s773,s29,s297,s808,s156,s155,s35,s777,s765,s862,s869]) ).

cnf(s873,plain,
    ( ~ spl0_14
    | ~ spl0_8 ),
    inference(rat,[],[s632,s102,s103,s139,s41,s872,s855,s765,s868]) ).

cnf(s874,plain,
    ( ~ spl0_30
    | ~ spl0_8 ),
    inference(rat,[],[s51,s426,s832,s808,s74,s73,s72,s26,s873,s765,s850]) ).

cnf(s875,plain,
    spl0_10,
    inference(rat,[],[s4,s761,s871,s101,s137,s138,s50,s874,s3,s856,s857,s66,s115,s116,s11,s765,s834,s850]) ).

cnf(s882,plain,
    ~ spl0_36,
    inference(rat,[],[s431,s156,s157,s868,s875]) ).

cnf(s905,plain,
    ~ spl0_60,
    inference(rat,[],[s389,s75,s121,s122,s868,s875,s861]) ).

cnf(s907,plain,
    spl0_41,
    inference(rat,[],[s167,s882,s905]) ).

cnf(s911,plain,
    spl0_126,
    inference(rat,[],[s128,s907]) ).

cnf(s912,plain,
    ~ spl0_82,
    inference(rat,[],[s84,s907]) ).

cnf(s913,plain,
    ~ spl0_81,
    inference(rat,[],[s83,s907]) ).

cnf(s914,plain,
    spl0_160,
    inference(rat,[],[s717,s861,s913,s911]) ).

cnf(s915,plain,
    $false,
    inference(rat,[],[s394,s914,s834,s911,s912]) ).

fof(f3575,plain,
    $false,
    inference(avatar_sat_refutation,[],[s915]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN487-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17  % Computer : n009.cluster.edu
% 0.09/0.17  % Model    : x86_64 x86_64
% 0.09/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17  % Memory   : 8046.5625MB
% 0.09/0.17  % OS       : Linux 6.8.0-71-generic
% 0.09/0.17  % CPULimit : 300
% 0.09/0.17  % WCLimit  : 300
% 0.09/0.17  % DateTime : Mon Sep 28 16:16:00 UTC 2026
% 0.09/0.17  % CPUTime  : 
% 0.09/0.17  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20  Running first-order model finding
% 0.09/0.20  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.27  % (3194731)Will run a generic schedule for satisfiability detection.
% 0.39/0.27  % (3194741)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1857839858:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.39/0.27  % (3194737)% WARNING: option uhcvi not known.
% 0.39/0.27  % (3194736)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2503375967_2999 on theBenchmark for (2999ds/0Mi)
% 0.39/0.27  % (3194739)dis+10_1_sil=32000:sp=arity:random_seed=2707053060:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.39/0.27  % (3194738)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3430880794:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.39/0.27  % (3194740)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2645442145:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.39/0.27  % (3194742)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2075388149:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.39/0.27  % (3194737)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=955373163:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.39/0.27  % Detected minimum model sizes of [1]
% 0.39/0.27  % Detected maximum model sizes of [32]
% 0.39/0.27  % TRYING [1]
% 0.39/0.27  % TRYING [2]
% 0.39/0.27  % TRYING [3]
% 0.39/0.27  % (3194741) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3194731-3194741"...
% 0.39/0.27  % TRYING [4]
% 0.39/0.27  % (3194741)...printing done.
% 0.39/0.27  % (3194741)Refutation found. Thanks to Tanya!
% 0.39/0.27  % SZS status Unsatisfiable for theBenchmark
% 0.39/0.27  % SZS output start Proof for theBenchmark
% See solution above
% 0.39/0.28  % (3194741)------------------------------
% 0.39/0.28  % (3194741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.28  % (3194741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.28  % (3194741)CaDiCaL version: 2.1.3
% 0.39/0.28  % (3194741)Termination reason: Refutation
% 0.39/0.28  % (3194741)Time elapsed: 0.031 s
% 0.39/0.28  % (3194741)Peak memory usage: 13 MB
% 0.39/0.28  % (3194741)Instructions burned: 84 (million)
% 0.39/0.28  % (3194731)Success in time 0.058 s
% 0.39/0.28  % Vampire exiting
%------------------------------------------------------------------------------