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Vampire---5.0.1.UNS-Ref.s

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

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:57:31 PM UTC 2026

% Result   : Unsatisfiable 1.68s 0.59s
% Output   : Refutation 2.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   42
%            Number of leaves      :  292
% Syntax   : Number of formulae    :  981 (  34 unt; 156 def)
%            Number of atoms       : 3002 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3569 (1548   ~;1865   |;   0   &)
%                                         ( 156 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  190 ( 189 usr; 186 prp; 0-1 aty)
%            Number of functors    :   28 (  28 usr;  28 con; 0-0 aty)
%            Number of variables   :  138 (   0 sgn 138   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
    ( ~ hskp30
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f21,negated_conjecture,
    ( ~ hskp11
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).

fof(f26,negated_conjecture,
    ( ~ hskp6
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).

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

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

fof(f36,negated_conjecture,
    ( hskp1
    | hskp14
    | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

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

fof(f38,negated_conjecture,
    ( hskp6
    | hskp12
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ( hskp31
    | hskp7
    | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

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

fof(f42,negated_conjecture,
    ( hskp24
    | hskp22
    | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( hskp3
    | hskp14
    | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp31
    | c0_1(a2387) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp31
    | c2_1(a2387) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp31
    | c3_1(a2387) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f139,negated_conjecture,
    ( ~ c0_1(a2276)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f146,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp12 ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp8
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

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

fof(f154,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp20 ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f157,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp14
      | hskp17 ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',clause159) ).

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

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

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

fof(f170,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp7
      | hskp19 ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause172) ).

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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause179) ).

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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause182) ).

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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause190) ).

fof(f192,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).

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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause194) ).

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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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] :
        ( c1_1(X2)
        | ~ c0_1(X2)
        | ~ c3_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(f214,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f215,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f216,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f203,f214,f211,f208,f205]) ).

fof(f218,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f219,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f221,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f222,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f224,definition,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f225,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f226,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f202,f224,f211,f221,f218]) ).

fof(f228,definition,
    ( spl0_8
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f229,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f231,definition,
    ( spl0_9
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f232,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f234,definition,
    ( spl0_10
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f235,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f236,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f201,f234,f211,f231,f228]) ).

fof(f238,definition,
    ( spl0_11
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f239,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f241,definition,
    ( spl0_12
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f242,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f244,definition,
    ( spl0_13
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f245,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f246,plain,
    ( spl0_11
    | spl0_12
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f200,f244,f211,f241,f238]) ).

fof(f248,definition,
    ( spl0_14
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f249,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f251,definition,
    ( spl0_15
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f252,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f253,plain,
    ( spl0_14
    | spl0_15
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f199,f218,f211,f251,f248]) ).

fof(f255,definition,
    ( spl0_16
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f258,definition,
    ( spl0_17
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f259,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f261,definition,
    ( spl0_18
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f262,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f263,plain,
    ( spl0_16
    | spl0_17
    | ~ spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f198,f261,f211,f258,f255]) ).

fof(f265,definition,
    ( spl0_19
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f267,plain,
    ( spl0_19
    | spl0_5
    | ~ spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f197,f261,f211,f218,f265]) ).

fof(f269,definition,
    ( spl0_20
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f272,definition,
    ( spl0_21
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f273,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f276,definition,
    ( spl0_22
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f283,definition,
    ( spl0_24
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f286,definition,
    ( spl0_25
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f287,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f288,plain,
    ( spl0_24
    | spl0_25
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f194,f214,f211,f286,f283]) ).

fof(f290,definition,
    ( spl0_26
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f293,definition,
    ( spl0_27
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f294,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f295,plain,
    ( spl0_26
    | spl0_27
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f193,f234,f211,f293,f290]) ).

fof(f297,definition,
    ( spl0_28
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f298,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f299,plain,
    ( spl0_24
    | spl0_28
    | ~ spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f192,f261,f211,f297,f283]) ).

fof(f301,definition,
    ( spl0_29
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f302,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f304,definition,
    ( spl0_30
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f305,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f308,definition,
    ( spl0_31
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f311,definition,
    ( spl0_32
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f312,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f313,plain,
    ( spl0_31
    | spl0_32
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f190,f221,f211,f311,f308]) ).

fof(f315,definition,
    ( spl0_33
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f317,plain,
    ( spl0_33
    | spl0_32
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f189,f208,f211,f311,f315]) ).

fof(f319,definition,
    ( spl0_34
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f321,plain,
    ( spl0_34
    | spl0_25
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f188,f258,f211,f286,f319]) ).

fof(f323,definition,
    ( spl0_35
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f325,plain,
    ( spl0_35
    | spl0_30
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f187,f272,f211,f304,f323]) ).

fof(f327,definition,
    ( spl0_36
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f329,plain,
    ( spl0_36
    | spl0_30
    | ~ spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f186,f286,f211,f304,f327]) ).

fof(f331,definition,
    ( spl0_37
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f335,definition,
    ( spl0_38
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f337,plain,
    ( spl0_38
    | spl0_5
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f184,f272,f211,f218,f335]) ).

fof(f339,definition,
    ( spl0_39
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f342,definition,
    ( spl0_40
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f343,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f345,plain,
    ( spl0_26
    | spl0_11
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f182,f244,f211,f238,f290]) ).

fof(f346,plain,
    ( spl0_34
    | spl0_27
    | ~ spl0_3
    | spl0_32 ),
    inference(avatar_split_clause,[],[f181,f311,f211,f293,f319]) ).

fof(f348,definition,
    ( spl0_41
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f351,definition,
    ( spl0_42
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f352,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f355,definition,
    ( spl0_43
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f358,definition,
    ( spl0_44
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f359,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f360,plain,
    ( spl0_43
    | spl0_44
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f179,f244,f211,f358,f355]) ).

fof(f361,plain,
    ( spl0_39
    | spl0_14
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f178,f293,f211,f248,f339]) ).

fof(f362,plain,
    ( spl0_26
    | spl0_44
    | ~ spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f177,f286,f211,f358,f290]) ).

fof(f363,plain,
    ( spl0_24
    | spl0_44
    | ~ spl0_3
    | spl0_40 ),
    inference(avatar_split_clause,[],[f176,f342,f211,f358,f283]) ).

fof(f365,definition,
    ( spl0_45
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f377,definition,
    ( spl0_48
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f379,plain,
    ( spl0_19
    | spl0_48
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f172,f234,f211,f377,f265]) ).

fof(f381,definition,
    ( spl0_49
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f383,plain,
    ( spl0_19
    | spl0_49
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f171,f234,f211,f381,f265]) ).

fof(f385,definition,
    ( spl0_50
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f387,plain,
    ( spl0_35
    | spl0_50
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f170,f224,f211,f385,f323]) ).

fof(f389,definition,
    ( spl0_51
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f397,definition,
    ( spl0_53
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f399,plain,
    ( spl0_51
    | spl0_53
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f167,f258,f211,f397,f389]) ).

fof(f401,plain,
    ( spl0_35
    | spl0_22
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f165,f231,f211,f276,f323]) ).

fof(f404,definition,
    ( spl0_54
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f406,plain,
    ( spl0_53
    | spl0_54
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f163,f241,f211,f404,f397]) ).

fof(f410,plain,
    ( spl0_48
    | spl0_22
    | ~ spl0_3
    | spl0_30 ),
    inference(avatar_split_clause,[],[f159,f304,f211,f276,f377]) ).

fof(f415,plain,
    ( spl0_38
    | spl0_33
    | ~ spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f157,f301,f211,f315,f335]) ).

fof(f417,plain,
    ( spl0_31
    | spl0_54
    | ~ spl0_3
    | spl0_32 ),
    inference(avatar_split_clause,[],[f155,f311,f211,f404,f308]) ).

fof(f419,definition,
    ( spl0_56
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f421,plain,
    ( spl0_56
    | ~ spl0_3
    | spl0_30 ),
    inference(avatar_split_clause,[],[f154,f304,f211,f419]) ).

fof(f430,plain,
    ( spl0_33
    | spl0_26
    | ~ spl0_3
    | spl0_42 ),
    inference(avatar_split_clause,[],[f151,f351,f211,f290,f315]) ).

fof(f436,plain,
    ( spl0_50
    | spl0_37
    | ~ spl0_3
    | spl0_40 ),
    inference(avatar_split_clause,[],[f148,f342,f211,f331,f385]) ).

fof(f438,definition,
    ( spl0_60
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f440,plain,
    ( spl0_50
    | spl0_60
    | ~ spl0_3
    | spl0_40 ),
    inference(avatar_split_clause,[],[f147,f342,f211,f438,f385]) ).

fof(f441,plain,
    ( spl0_22
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f146,f293,f211,f276]) ).

fof(f443,definition,
    ( spl0_61
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f445,plain,
    ( spl0_61
    | spl0_53
    | spl0_8
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f145,f211,f228,f397,f443]) ).

fof(f446,plain,
    ( spl0_22
    | spl0_41
    | spl0_14
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f144,f211,f248,f348,f276]) ).

fof(f448,definition,
    ( spl0_62
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f450,plain,
    ( spl0_62
    | spl0_60
    | spl0_14
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f143,f211,f248,f438,f448]) ).

fof(f451,plain,
    ( spl0_45
    | spl0_43
    | spl0_14
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f142,f211,f248,f355,f365]) ).

fof(f453,plain,
    ( spl0_16
    | spl0_49
    | spl0_44
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f140,f211,f358,f381,f255]) ).

fof(f456,definition,
    ( spl0_63
  <=> c0_1(a2276) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f458,plain,
    ( ~ spl0_24
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f139,f456,f283]) ).

fof(f461,definition,
    ( spl0_64
  <=> c2_1(a2277) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f462,plain,
    ( ~ c2_1(a2277)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f463,plain,
    ( ~ spl0_26
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f138,f461,f290]) ).

fof(f466,definition,
    ( spl0_65
  <=> c3_1(a2279) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f468,plain,
    ( ~ spl0_49
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f137,f466,f381]) ).

fof(f470,definition,
    ( spl0_66
  <=> c2_1(a2279) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f471,plain,
    ( ~ c2_1(a2279)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f472,plain,
    ( ~ spl0_49
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f136,f470,f381]) ).

fof(f475,definition,
    ( spl0_67
  <=> c2_1(a2280) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f477,plain,
    ( ~ spl0_16
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f135,f475,f255]) ).

fof(f489,definition,
    ( spl0_70
  <=> c3_1(a2284) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f491,plain,
    ( ~ spl0_39
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f132,f489,f339]) ).

fof(f493,definition,
    ( spl0_71
  <=> c1_1(a2284) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f494,plain,
    ( ~ c1_1(a2284)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f495,plain,
    ( ~ spl0_39
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f131,f493,f339]) ).

fof(f497,definition,
    ( spl0_72
  <=> c0_1(a2284) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f499,plain,
    ( ~ spl0_39
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f130,f497,f339]) ).

fof(f502,definition,
    ( spl0_73
  <=> c3_1(a2285) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f504,plain,
    ( ~ spl0_60
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f129,f502,f438]) ).

fof(f507,definition,
    ( spl0_74
  <=> c2_1(a2286) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f508,plain,
    ( ~ c2_1(a2286)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f509,plain,
    ( ~ spl0_50
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f128,f507,f385]) ).

fof(f511,definition,
    ( spl0_75
  <=> c0_1(a2286) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f513,plain,
    ( ~ spl0_50
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f127,f511,f385]) ).

fof(f521,definition,
    ( spl0_77
  <=> c2_1(a2291) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f522,plain,
    ( ~ c2_1(a2291)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f523,plain,
    ( ~ spl0_45
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f125,f521,f365]) ).

fof(f525,definition,
    ( spl0_78
  <=> c1_1(a2291) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f526,plain,
    ( ~ c1_1(a2291)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f527,plain,
    ( ~ spl0_45
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f124,f525,f365]) ).

fof(f529,definition,
    ( spl0_79
  <=> c0_1(a2291) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f531,plain,
    ( ~ spl0_45
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f123,f529,f365]) ).

fof(f534,definition,
    ( spl0_80
  <=> c3_1(a2293) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f536,plain,
    ( ~ spl0_62
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f122,f534,f448]) ).

fof(f539,definition,
    ( spl0_81
  <=> c2_1(a2294) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f540,plain,
    ( ~ c2_1(a2294)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f539]) ).

fof(f541,plain,
    ( ~ spl0_41
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f121,f539,f348]) ).

fof(f543,definition,
    ( spl0_82
  <=> c1_1(a2294) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f544,plain,
    ( ~ c1_1(a2294)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f545,plain,
    ( ~ spl0_41
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f120,f543,f348]) ).

fof(f548,definition,
    ( spl0_83
  <=> c3_1(a2295) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f550,plain,
    ( ~ spl0_22
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f119,f548,f276]) ).

fof(f552,definition,
    ( spl0_84
  <=> c1_1(a2295) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f553,plain,
    ( ~ c1_1(a2295)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f554,plain,
    ( ~ spl0_22
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f118,f552,f276]) ).

fof(f557,definition,
    ( spl0_85
  <=> c3_1(a2299) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f559,plain,
    ( ~ spl0_48
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f117,f557,f377]) ).

fof(f561,definition,
    ( spl0_86
  <=> c1_1(a2299) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f562,plain,
    ( ~ c1_1(a2299)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f563,plain,
    ( ~ spl0_48
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f116,f561,f377]) ).

fof(f566,definition,
    ( spl0_87
  <=> c0_1(a2302) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f568,plain,
    ( ~ spl0_33
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f115,f566,f315]) ).

fof(f576,definition,
    ( spl0_89
  <=> c3_1(a2304) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f578,plain,
    ( ~ spl0_51
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f113,f576,f389]) ).

fof(f580,definition,
    ( spl0_90
  <=> c2_1(a2304) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f581,plain,
    ( ~ c2_1(a2304)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f582,plain,
    ( ~ spl0_51
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f112,f580,f389]) ).

fof(f584,definition,
    ( spl0_91
  <=> c0_1(a2304) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f586,plain,
    ( ~ spl0_51
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f111,f584,f389]) ).

fof(f589,definition,
    ( spl0_92
  <=> c3_1(a2306) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f591,plain,
    ( ~ spl0_38
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f110,f589,f335]) ).

fof(f593,definition,
    ( spl0_93
  <=> c2_1(a2306) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f595,plain,
    ( ~ spl0_38
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f109,f593,f335]) ).

fof(f597,definition,
    ( spl0_94
  <=> c1_1(a2306) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f598,plain,
    ( ~ c1_1(a2306)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f599,plain,
    ( ~ spl0_38
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f108,f597,f335]) ).

fof(f602,definition,
    ( spl0_95
  <=> c2_1(a2308) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f603,plain,
    ( ~ c2_1(a2308)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f604,plain,
    ( ~ spl0_19
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f107,f602,f265]) ).

fof(f606,definition,
    ( spl0_96
  <=> c1_1(a2308) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f607,plain,
    ( ~ c1_1(a2308)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f608,plain,
    ( ~ spl0_19
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f106,f606,f265]) ).

fof(f611,definition,
    ( spl0_97
  <=> c3_1(a2316) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f613,plain,
    ( ~ spl0_35
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f105,f611,f323]) ).

fof(f615,definition,
    ( spl0_98
  <=> c2_1(a2316) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f616,plain,
    ( ~ c2_1(a2316)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f617,plain,
    ( ~ spl0_35
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f104,f615,f323]) ).

fof(f620,definition,
    ( spl0_99
  <=> c1_1(a2323) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f621,plain,
    ( ~ c1_1(a2323)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f622,plain,
    ( ~ spl0_56
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f103,f620,f419]) ).

fof(f625,definition,
    ( spl0_100
  <=> c3_1(a2324) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f627,plain,
    ( ~ spl0_53
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f102,f625,f397]) ).

fof(f629,definition,
    ( spl0_101
  <=> c0_1(a2324) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f631,plain,
    ( ~ spl0_53
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f101,f629,f397]) ).

fof(f634,definition,
    ( spl0_102
  <=> c1_1(a2325) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f635,plain,
    ( ~ c1_1(a2325)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f634]) ).

fof(f636,plain,
    ( ~ spl0_61
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f100,f634,f443]) ).

fof(f638,definition,
    ( spl0_103
  <=> c0_1(a2325) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f640,plain,
    ( ~ spl0_61
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f99,f638,f443]) ).

fof(f643,definition,
    ( spl0_104
  <=> c2_1(a2327) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f644,plain,
    ( ~ c2_1(a2327)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f643]) ).

fof(f645,plain,
    ( ~ spl0_34
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f98,f643,f319]) ).

fof(f647,definition,
    ( spl0_105
  <=> c0_1(a2327) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f649,plain,
    ( ~ spl0_34
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f97,f647,f319]) ).

fof(f652,definition,
    ( spl0_106
  <=> c1_1(a2337) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f653,plain,
    ( ~ c1_1(a2337)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f654,plain,
    ( ~ spl0_54
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f96,f652,f404]) ).

fof(f657,definition,
    ( spl0_107
  <=> c2_1(a2342) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f658,plain,
    ( ~ c2_1(a2342)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f659,plain,
    ( ~ spl0_31
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f95,f657,f308]) ).

fof(f662,definition,
    ( spl0_108
  <=> c1_1(a2345) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f663,plain,
    ( ~ c1_1(a2345)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f664,plain,
    ( ~ spl0_20
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f94,f662,f269]) ).

fof(f666,definition,
    ( spl0_109
  <=> c0_1(a2345) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f668,plain,
    ( ~ spl0_20
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f93,f666,f269]) ).

fof(f675,definition,
    ( spl0_111
  <=> c3_1(a2276) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f677,plain,
    ( spl0_111
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f91,f283,f675]) ).

fof(f679,definition,
    ( spl0_112
  <=> c1_1(a2276) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f680,plain,
    ( c1_1(a2276)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f681,plain,
    ( spl0_112
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f90,f283,f679]) ).

fof(f683,definition,
    ( spl0_113
  <=> c1_1(a2277) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f684,plain,
    ( c1_1(a2277)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f685,plain,
    ( spl0_113
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f89,f290,f683]) ).

fof(f687,definition,
    ( spl0_114
  <=> c0_1(a2277) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f689,plain,
    ( spl0_114
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f88,f290,f687]) ).

fof(f691,definition,
    ( spl0_115
  <=> c0_1(a2279) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f693,plain,
    ( spl0_115
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f87,f381,f691]) ).

fof(f695,definition,
    ( spl0_116
  <=> c3_1(a2280) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f697,plain,
    ( spl0_116
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f86,f255,f695]) ).

fof(f699,definition,
    ( spl0_117
  <=> c1_1(a2280) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f700,plain,
    ( c1_1(a2280)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f699]) ).

fof(f701,plain,
    ( spl0_117
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f85,f255,f699]) ).

fof(f707,definition,
    ( spl0_119
  <=> c1_1(a2285) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f708,plain,
    ( c1_1(a2285)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f709,plain,
    ( spl0_119
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f83,f438,f707]) ).

fof(f711,definition,
    ( spl0_120
  <=> c0_1(a2285) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f713,plain,
    ( spl0_120
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f82,f438,f711]) ).

fof(f715,definition,
    ( spl0_121
  <=> c1_1(a2286) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f716,plain,
    ( c1_1(a2286)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f717,plain,
    ( spl0_121
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f81,f385,f715]) ).

fof(f719,definition,
    ( spl0_122
  <=> c2_1(a2287) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f720,plain,
    ( c2_1(a2287)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f721,plain,
    ( spl0_122
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f80,f331,f719]) ).

fof(f723,definition,
    ( spl0_123
  <=> c0_1(a2287) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f725,plain,
    ( spl0_123
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f79,f331,f723]) ).

fof(f727,definition,
    ( spl0_124
  <=> c2_1(a2293) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f728,plain,
    ( c2_1(a2293)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f729,plain,
    ( spl0_124
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f78,f448,f727]) ).

fof(f731,definition,
    ( spl0_125
  <=> c0_1(a2293) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f733,plain,
    ( spl0_125
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f77,f448,f731]) ).

fof(f735,definition,
    ( spl0_126
  <=> c0_1(a2294) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f737,plain,
    ( spl0_126
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f76,f348,f735]) ).

fof(f739,definition,
    ( spl0_127
  <=> c0_1(a2295) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f741,plain,
    ( spl0_127
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f75,f276,f739]) ).

fof(f743,definition,
    ( spl0_128
  <=> c2_1(a2299) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f744,plain,
    ( c2_1(a2299)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f745,plain,
    ( spl0_128
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f74,f377,f743]) ).

fof(f747,definition,
    ( spl0_129
  <=> c3_1(a2302) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f749,plain,
    ( spl0_129
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f73,f315,f747]) ).

fof(f751,definition,
    ( spl0_130
  <=> c2_1(a2302) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f752,plain,
    ( c2_1(a2302)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f753,plain,
    ( spl0_130
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f72,f315,f751]) ).

fof(f763,definition,
    ( spl0_133
  <=> c3_1(a2308) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f765,plain,
    ( spl0_133
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f69,f265,f763]) ).

fof(f767,definition,
    ( spl0_134
  <=> c1_1(a2316) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f768,plain,
    ( c1_1(a2316)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f769,plain,
    ( spl0_134
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f68,f323,f767]) ).

fof(f771,definition,
    ( spl0_135
  <=> c3_1(a2323) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f773,plain,
    ( spl0_135
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f67,f419,f771]) ).

fof(f775,definition,
    ( spl0_136
  <=> c2_1(a2323) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f776,plain,
    ( c2_1(a2323)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f777,plain,
    ( spl0_136
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f66,f419,f775]) ).

fof(f779,definition,
    ( spl0_137
  <=> c1_1(a2324) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f780,plain,
    ( c1_1(a2324)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f781,plain,
    ( spl0_137
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f65,f397,f779]) ).

fof(f783,definition,
    ( spl0_138
  <=> c2_1(a2325) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f784,plain,
    ( c2_1(a2325)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f785,plain,
    ( spl0_138
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f64,f443,f783]) ).

fof(f787,definition,
    ( spl0_139
  <=> c3_1(a2327) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f789,plain,
    ( spl0_139
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f63,f319,f787]) ).

fof(f791,definition,
    ( spl0_140
  <=> c3_1(a2337) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f793,plain,
    ( spl0_140
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f62,f404,f791]) ).

fof(f795,definition,
    ( spl0_141
  <=> c0_1(a2337) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f797,plain,
    ( spl0_141
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f61,f404,f795]) ).

fof(f799,definition,
    ( spl0_142
  <=> c3_1(a2342) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f801,plain,
    ( spl0_142
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f60,f308,f799]) ).

fof(f803,definition,
    ( spl0_143
  <=> c0_1(a2342) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f805,plain,
    ( spl0_143
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f59,f308,f803]) ).

fof(f807,definition,
    ( spl0_144
  <=> c3_1(a2345) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f809,plain,
    ( spl0_144
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f58,f269,f807]) ).

fof(f819,definition,
    ( spl0_147
  <=> c3_1(a2278) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f822,plain,
    ( spl0_147
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f55,f355,f819]) ).

fof(f824,definition,
    ( spl0_148
  <=> c1_1(a2278) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f825,plain,
    ( c1_1(a2278)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f824]) ).

fof(f826,plain,
    ( spl0_148
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f54,f355,f824]) ).

fof(f828,definition,
    ( spl0_149
  <=> c0_1(a2278) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f830,plain,
    ( spl0_149
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f53,f355,f828]) ).

fof(f845,definition,
    ( spl0_153
  <=> c3_1(a2315) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f848,plain,
    ( spl0_153
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f49,f327,f845]) ).

fof(f850,definition,
    ( spl0_154
  <=> c2_1(a2315) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f851,plain,
    ( c2_1(a2315)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f852,plain,
    ( spl0_154
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f48,f327,f850]) ).

fof(f854,definition,
    ( spl0_155
  <=> c1_1(a2315) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f855,plain,
    ( c1_1(a2315)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f856,plain,
    ( spl0_155
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f47,f327,f854]) ).

fof(f858,definition,
    ( spl0_156
  <=> c3_1(a2387) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f861,definition,
    ( spl0_157
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f863,plain,
    ( spl0_156
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f46,f861,f858]) ).

fof(f865,definition,
    ( spl0_158
  <=> c2_1(a2387) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f866,plain,
    ( c2_1(a2387)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f865]) ).

fof(f867,plain,
    ( spl0_158
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f45,f861,f865]) ).

fof(f869,definition,
    ( spl0_159
  <=> c0_1(a2387) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f871,plain,
    ( spl0_159
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f44,f861,f869]) ).

fof(f872,plain,
    ( spl0_61
    | spl0_33
    | spl0_16 ),
    inference(avatar_split_clause,[],[f43,f255,f315,f443]) ).

fof(f873,plain,
    ( spl0_48
    | spl0_61
    | spl0_54 ),
    inference(avatar_split_clause,[],[f42,f404,f443,f377]) ).

fof(f876,plain,
    ( spl0_19
    | spl0_61
    | spl0_157 ),
    inference(avatar_split_clause,[],[f40,f861,f443,f265]) ).

fof(f877,plain,
    ( spl0_33
    | spl0_50
    | spl0_157 ),
    inference(avatar_split_clause,[],[f39,f861,f385,f315]) ).

fof(f878,plain,
    ( spl0_24
    | spl0_22
    | spl0_60 ),
    inference(avatar_split_clause,[],[f38,f438,f276,f283]) ).

fof(f879,plain,
    ( spl0_36
    | spl0_41
    | spl0_60 ),
    inference(avatar_split_clause,[],[f37,f438,f348,f327]) ).

fof(f880,plain,
    ( spl0_56
    | spl0_33
    | spl0_26 ),
    inference(avatar_split_clause,[],[f36,f290,f315,f419]) ).

fof(f881,plain,
    ( spl0_51
    | spl0_20
    | spl0_43 ),
    inference(avatar_split_clause,[],[f35,f355,f269,f389]) ).

fof(f882,plain,
    ( spl0_48
    | spl0_24
    | spl0_43 ),
    inference(avatar_split_clause,[],[f34,f355,f283,f377]) ).

fof(f891,plain,
    ( spl0_3
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f26,f438,f211]) ).

fof(f896,plain,
    ( spl0_3
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f21,f348,f211]) ).

fof(f915,plain,
    ( spl0_3
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f2,f327,f211]) ).

fof(f923,definition,
    ( spl0_160
  <=> c3_1(a2277) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f932,plain,
    ( c3_1(a2287)
    | ~ c0_1(a2287)
    | ~ spl0_6
    | ~ spl0_122 ),
    inference(resolution,[],[f222,f720]) ).

fof(f935,definition,
    ( spl0_162
  <=> c0_1(a2299) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f941,definition,
    ( spl0_163
  <=> c3_1(a2287) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f949,definition,
    ( spl0_164
  <=> c2_1(a2285) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f950,plain,
    ( ~ c2_1(a2285)
    | spl0_164 ),
    inference(avatar_component_clause,[],[f949]) ).

fof(f958,plain,
    ( c3_1(a2306)
    | c2_1(a2306)
    | ~ spl0_8
    | spl0_94 ),
    inference(resolution,[],[f229,f598]) ).

fof(f963,plain,
    ( ~ c0_1(a2308)
    | ~ c3_1(a2308)
    | ~ spl0_9
    | spl0_95 ),
    inference(resolution,[],[f232,f603]) ).

fof(f976,definition,
    ( spl0_166
  <=> c0_1(a2308) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f978,plain,
    ( ~ spl0_133
    | ~ spl0_166
    | ~ spl0_9
    | spl0_95 ),
    inference(avatar_split_clause,[],[f963,f602,f231,f976,f763]) ).

fof(f993,plain,
    ( c2_1(a2286)
    | ~ c3_1(a2286)
    | ~ spl0_13
    | ~ spl0_121 ),
    inference(resolution,[],[f245,f716]) ).

fof(f995,plain,
    ( c2_1(a2280)
    | ~ c3_1(a2280)
    | ~ spl0_13
    | ~ spl0_117 ),
    inference(resolution,[],[f245,f700]) ).

fof(f1000,plain,
    ( ~ spl0_116
    | spl0_67
    | ~ spl0_13
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f995,f699,f244,f475,f695]) ).

fof(f1002,definition,
    ( spl0_167
  <=> c3_1(a2286) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1005,plain,
    ( ~ spl0_167
    | spl0_74
    | ~ spl0_13
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f993,f715,f244,f507,f1002]) ).

fof(f1006,plain,
    ( c3_1(a2324)
    | ~ c2_1(a2324)
    | ~ spl0_7
    | ~ spl0_137 ),
    inference(resolution,[],[f780,f225]) ).

fof(f1009,definition,
    ( spl0_168
  <=> c2_1(a2324) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1010,plain,
    ( ~ c2_1(a2324)
    | spl0_168 ),
    inference(avatar_component_clause,[],[f1009]) ).

fof(f1012,plain,
    ( ~ spl0_168
    | spl0_100
    | ~ spl0_7
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1006,f779,f224,f625,f1009]) ).

fof(f1014,plain,
    ( c3_1(a2286)
    | c0_1(a2286)
    | ~ spl0_14
    | spl0_74 ),
    inference(resolution,[],[f249,f508]) ).

fof(f1028,definition,
    ( spl0_169
  <=> c3_1(a2291) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1032,plain,
    ( c3_1(a2291)
    | c2_1(a2291)
    | ~ spl0_8
    | spl0_78 ),
    inference(resolution,[],[f526,f229]) ).

fof(f1038,definition,
    ( spl0_170
  <=> c3_1(a2294) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1059,plain,
    ( c2_1(a2277)
    | ~ c0_1(a2277)
    | ~ spl0_2
    | ~ spl0_113 ),
    inference(resolution,[],[f209,f684]) ).

fof(f1074,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(resolution,[],[f235,f206]) ).

fof(f1083,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(duplicate_literal_removal,[],[f1074]) ).

fof(f1086,plain,
    ( spl0_18
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f1083,f234,f205,f261]) ).

fof(f1091,plain,
    ( ~ c3_1(a2286)
    | c0_1(a2286)
    | ~ spl0_15
    | spl0_74 ),
    inference(resolution,[],[f252,f508]) ).

fof(f1098,plain,
    ( ~ c3_1(a2291)
    | c0_1(a2291)
    | ~ spl0_15
    | spl0_77 ),
    inference(resolution,[],[f252,f522]) ).

fof(f1100,plain,
    ( spl0_79
    | ~ spl0_169
    | ~ spl0_15
    | spl0_77 ),
    inference(avatar_split_clause,[],[f1098,f521,f251,f1028,f529]) ).

fof(f1105,plain,
    ( spl0_75
    | ~ spl0_167
    | ~ spl0_15
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1091,f507,f251,f1002,f511]) ).

fof(f1113,definition,
    ( spl0_172
  <=> c3_1(a2325) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1123,plain,
    ( c3_1(a2285)
    | ~ c0_1(a2285)
    | ~ spl0_17
    | ~ spl0_119 ),
    inference(resolution,[],[f259,f708]) ).

fof(f1132,plain,
    ( ~ c3_1(a2387)
    | ~ c0_1(a2387)
    | ~ spl0_18
    | ~ spl0_158 ),
    inference(resolution,[],[f262,f866]) ).

fof(f1145,plain,
    ( ~ spl0_159
    | ~ spl0_156
    | ~ spl0_18
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1132,f865,f261,f858,f869]) ).

fof(f1146,plain,
    ( spl0_77
    | spl0_169
    | ~ spl0_8
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1032,f525,f228,f1028,f521]) ).

fof(f1156,plain,
    ( ~ c3_1(a2308)
    | c0_1(a2308)
    | ~ spl0_15
    | spl0_95 ),
    inference(resolution,[],[f603,f252]) ).

fof(f1157,plain,
    ( spl0_166
    | ~ spl0_133
    | ~ spl0_15
    | spl0_95 ),
    inference(avatar_split_clause,[],[f1156,f602,f251,f763,f976]) ).

fof(f1169,plain,
    ( ~ c3_1(a2278)
    | ~ c0_1(a2278)
    | ~ spl0_4
    | ~ spl0_148 ),
    inference(resolution,[],[f215,f825]) ).

fof(f1176,plain,
    ( ~ c3_1(a2277)
    | ~ c0_1(a2277)
    | ~ spl0_4
    | ~ spl0_113 ),
    inference(resolution,[],[f215,f684]) ).

fof(f1189,definition,
    ( spl0_174
  <=> c2_1(a2345) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1192,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(resolution,[],[f219,f242]) ).

fof(f1195,plain,
    ( c0_1(a2324)
    | ~ c2_1(a2324)
    | ~ spl0_5
    | ~ spl0_137 ),
    inference(resolution,[],[f219,f780]) ).

fof(f1200,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(duplicate_literal_removal,[],[f1192]) ).

fof(f1204,definition,
    ( spl0_175
  <=> c2_1(a2278) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1207,plain,
    ( spl0_30
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f1200,f241,f218,f304]) ).

fof(f1222,plain,
    ( c3_1(a2299)
    | ~ c0_1(a2299)
    | ~ spl0_6
    | ~ spl0_128 ),
    inference(resolution,[],[f222,f744]) ).

fof(f1223,plain,
    ( c3_1(a2293)
    | ~ c0_1(a2293)
    | ~ spl0_6
    | ~ spl0_124 ),
    inference(resolution,[],[f222,f728]) ).

fof(f1234,definition,
    ( spl0_176
  <=> c0_1(a2315) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1251,plain,
    ( c2_1(a2278)
    | ~ c0_1(a2278)
    | ~ spl0_2
    | ~ spl0_148 ),
    inference(resolution,[],[f209,f825]) ).

fof(f1254,plain,
    ( c2_1(a2316)
    | ~ c0_1(a2316)
    | ~ spl0_2
    | ~ spl0_134 ),
    inference(resolution,[],[f209,f768]) ).

fof(f1255,plain,
    ( c2_1(a2285)
    | ~ c0_1(a2285)
    | ~ spl0_2
    | ~ spl0_119 ),
    inference(resolution,[],[f209,f708]) ).

fof(f1258,definition,
    ( spl0_177
  <=> c0_1(a2316) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1261,plain,
    ( ~ spl0_177
    | spl0_98
    | ~ spl0_2
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1254,f767,f208,f615,f1258]) ).

fof(f1275,plain,
    ( ~ c2_1(a2325)
    | c0_1(a2325)
    | ~ spl0_11
    | spl0_102 ),
    inference(resolution,[],[f239,f635]) ).

fof(f1320,definition,
    ( spl0_178
  <=> c2_1(a2276) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1340,plain,
    ( c3_1(a2316)
    | c0_1(a2316)
    | ~ spl0_14
    | spl0_98 ),
    inference(resolution,[],[f249,f616]) ).

fof(f1346,plain,
    ( c3_1(a2304)
    | c0_1(a2304)
    | ~ spl0_14
    | spl0_90 ),
    inference(resolution,[],[f249,f581]) ).

fof(f1358,plain,
    ( ~ spl0_168
    | spl0_101
    | ~ spl0_5
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1195,f779,f218,f629,f1009]) ).

fof(f1369,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(resolution,[],[f206,f245]) ).

fof(f1375,plain,
    ( ~ c0_1(a2294)
    | ~ c3_1(a2294)
    | ~ spl0_1
    | spl0_82 ),
    inference(resolution,[],[f206,f544]) ).

fof(f1379,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f1369]) ).

fof(f1381,plain,
    ( c3_1(a2324)
    | c0_1(a2324)
    | ~ spl0_14
    | spl0_168 ),
    inference(resolution,[],[f1010,f249]) ).

fof(f1384,plain,
    ( spl0_101
    | spl0_100
    | ~ spl0_14
    | spl0_168 ),
    inference(avatar_split_clause,[],[f1381,f1009,f248,f625,f629]) ).

fof(f1438,definition,
    ( spl0_179
  <=> c2_1(a2295) ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

fof(f1447,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_17
    | ~ spl0_25 ),
    inference(resolution,[],[f287,f259]) ).

fof(f1451,plain,
    ( c3_1(a2325)
    | ~ c2_1(a2325)
    | ~ spl0_25
    | spl0_102 ),
    inference(resolution,[],[f287,f635]) ).

fof(f1452,plain,
    ( c3_1(a2299)
    | ~ c2_1(a2299)
    | ~ spl0_25
    | spl0_86 ),
    inference(resolution,[],[f287,f562]) ).

fof(f1453,plain,
    ( c3_1(a2295)
    | ~ c2_1(a2295)
    | ~ spl0_25
    | spl0_84 ),
    inference(resolution,[],[f287,f553]) ).

fof(f1459,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_17
    | ~ spl0_25 ),
    inference(duplicate_literal_removal,[],[f1447]) ).

fof(f1464,plain,
    ( ~ spl0_179
    | spl0_83
    | ~ spl0_25
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1453,f552,f286,f548,f1438]) ).

fof(f1465,plain,
    ( ~ spl0_128
    | spl0_85
    | ~ spl0_25
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1452,f561,f286,f557,f743]) ).

fof(f1467,plain,
    ( ~ spl0_138
    | spl0_172
    | ~ spl0_25
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1451,f634,f286,f1113,f783]) ).

fof(f1469,plain,
    ( spl0_6
    | ~ spl0_17
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f1459,f286,f258,f221]) ).

fof(f1479,plain,
    ( c3_1(a2295)
    | c2_1(a2295)
    | ~ spl0_8
    | spl0_84 ),
    inference(resolution,[],[f229,f553]) ).

fof(f1494,plain,
    ( ~ c2_1(a2345)
    | c0_1(a2345)
    | ~ spl0_11
    | spl0_108 ),
    inference(resolution,[],[f239,f663]) ).

fof(f1495,plain,
    ( ~ c2_1(a2299)
    | c0_1(a2299)
    | ~ spl0_11
    | spl0_86 ),
    inference(resolution,[],[f239,f562]) ).

fof(f1503,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_21
    | ~ spl0_27 ),
    inference(resolution,[],[f294,f273]) ).

fof(f1504,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_7
    | ~ spl0_27 ),
    inference(resolution,[],[f294,f225]) ).

fof(f1508,plain,
    ( c3_1(a2299)
    | ~ c0_1(a2299)
    | ~ spl0_27
    | spl0_86 ),
    inference(resolution,[],[f294,f562]) ).

fof(f1509,plain,
    ( c3_1(a2295)
    | ~ c0_1(a2295)
    | ~ spl0_27
    | spl0_84 ),
    inference(resolution,[],[f294,f553]) ).

fof(f1510,plain,
    ( c3_1(a2294)
    | ~ c0_1(a2294)
    | ~ spl0_27
    | spl0_82 ),
    inference(resolution,[],[f294,f544]) ).

fof(f1512,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_7
    | ~ spl0_27 ),
    inference(duplicate_literal_removal,[],[f1504]) ).

fof(f1513,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_21
    | ~ spl0_27 ),
    inference(duplicate_literal_removal,[],[f1503]) ).

fof(f1514,plain,
    ( ~ spl0_126
    | spl0_170
    | ~ spl0_27
    | spl0_82 ),
    inference(avatar_split_clause,[],[f1510,f543,f293,f1038,f735]) ).

fof(f1517,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f1512,f293,f224,f221]) ).

fof(f1518,plain,
    ( spl0_32
    | ~ spl0_21
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f1513,f293,f272,f311]) ).

fof(f1535,plain,
    ( ~ c0_1(a2337)
    | ~ c3_1(a2337)
    | ~ spl0_1
    | spl0_106 ),
    inference(resolution,[],[f653,f206]) ).

fof(f1538,plain,
    ( ~ spl0_140
    | ~ spl0_141
    | ~ spl0_1
    | spl0_106 ),
    inference(avatar_split_clause,[],[f1535,f652,f205,f795,f791]) ).

fof(f1547,plain,
    ( c3_1(a2277)
    | c2_1(a2277)
    | ~ spl0_21
    | ~ spl0_113 ),
    inference(resolution,[],[f684,f273]) ).

fof(f1568,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_17
    | ~ spl0_28 ),
    inference(resolution,[],[f298,f259]) ).

fof(f1575,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_17
    | ~ spl0_28 ),
    inference(duplicate_literal_removal,[],[f1568]) ).

fof(f1579,plain,
    ( spl0_32
    | ~ spl0_17
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f1575,f297,f258,f311]) ).

fof(f1590,plain,
    ( c0_1(a2276)
    | ~ c3_1(a2276)
    | ~ spl0_29
    | ~ spl0_112 ),
    inference(resolution,[],[f302,f680]) ).

fof(f1594,plain,
    ( ~ spl0_111
    | spl0_63
    | ~ spl0_29
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1590,f679,f301,f456,f675]) ).

fof(f1601,plain,
    ( c0_1(a2315)
    | ~ c3_1(a2315)
    | ~ spl0_30
    | ~ spl0_154 ),
    inference(resolution,[],[f305,f851]) ).

fof(f1623,plain,
    ( ~ c2_1(a2284)
    | c0_1(a2284)
    | ~ spl0_11
    | spl0_71 ),
    inference(resolution,[],[f494,f239]) ).

fof(f1624,plain,
    ( c3_1(a2284)
    | c2_1(a2284)
    | ~ spl0_8
    | spl0_71 ),
    inference(resolution,[],[f494,f229]) ).

fof(f1627,definition,
    ( spl0_181
  <=> c2_1(a2284) ),
    introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).

fof(f1630,plain,
    ( spl0_181
    | spl0_70
    | ~ spl0_8
    | spl0_71 ),
    inference(avatar_split_clause,[],[f1624,f493,f228,f489,f1627]) ).

fof(f1657,definition,
    ( spl0_182
  <=> c0_1(a2323) ),
    introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).

fof(f1662,plain,
    ( ~ c3_1(a2327)
    | c0_1(a2327)
    | ~ spl0_15
    | spl0_104 ),
    inference(resolution,[],[f644,f252]) ).

fof(f1665,plain,
    ( spl0_105
    | ~ spl0_139
    | ~ spl0_15
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1662,f643,f251,f787,f647]) ).

fof(f1675,plain,
    ( ~ c2_1(a2315)
    | ~ c0_1(a2315)
    | ~ spl0_10
    | ~ spl0_155 ),
    inference(resolution,[],[f235,f855]) ).

fof(f1676,plain,
    ( ~ c2_1(a2278)
    | ~ c0_1(a2278)
    | ~ spl0_10
    | ~ spl0_148 ),
    inference(resolution,[],[f235,f825]) ).

fof(f1684,plain,
    ( ~ spl0_149
    | ~ spl0_175
    | ~ spl0_10
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1676,f824,f234,f1204,f828]) ).

fof(f1685,plain,
    ( ~ spl0_176
    | ~ spl0_154
    | ~ spl0_10
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1675,f854,f234,f850,f1234]) ).

fof(f1689,plain,
    ( ~ c2_1(a2345)
    | ~ c3_1(a2345)
    | ~ spl0_12
    | spl0_108 ),
    inference(resolution,[],[f242,f663]) ).

fof(f1691,plain,
    ( ~ c2_1(a2323)
    | ~ c3_1(a2323)
    | ~ spl0_12
    | spl0_99 ),
    inference(resolution,[],[f242,f621]) ).

fof(f1701,plain,
    ( ~ spl0_135
    | ~ spl0_136
    | ~ spl0_12
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1691,f620,f241,f775,f771]) ).

fof(f1703,plain,
    ( ~ spl0_144
    | ~ spl0_174
    | ~ spl0_12
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1689,f662,f241,f1189,f807]) ).

fof(f1709,plain,
    ( c3_1(a2316)
    | ~ c0_1(a2316)
    | ~ spl0_17
    | ~ spl0_134 ),
    inference(resolution,[],[f259,f768]) ).

fof(f1712,plain,
    ( c3_1(a2277)
    | ~ c0_1(a2277)
    | ~ spl0_17
    | ~ spl0_113 ),
    inference(resolution,[],[f259,f684]) ).

fof(f1716,plain,
    ( ~ spl0_177
    | spl0_97
    | ~ spl0_17
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1709,f767,f258,f611,f1258]) ).

fof(f1723,plain,
    ( ~ c3_1(a2287)
    | ~ c0_1(a2287)
    | ~ spl0_18
    | ~ spl0_122 ),
    inference(resolution,[],[f262,f720]) ).

fof(f1732,plain,
    ( c0_1(a2325)
    | ~ c3_1(a2325)
    | ~ spl0_30
    | ~ spl0_138 ),
    inference(resolution,[],[f305,f784]) ).

fof(f1733,plain,
    ( c0_1(a2302)
    | ~ c3_1(a2302)
    | ~ spl0_30
    | ~ spl0_130 ),
    inference(resolution,[],[f305,f752]) ).

fof(f1740,plain,
    ( ~ spl0_129
    | spl0_87
    | ~ spl0_30
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1733,f751,f304,f566,f747]) ).

fof(f1746,plain,
    ( c3_1(a2316)
    | ~ c0_1(a2316)
    | ~ spl0_32
    | spl0_98 ),
    inference(resolution,[],[f312,f616]) ).

fof(f1747,plain,
    ( c3_1(a2294)
    | ~ c0_1(a2294)
    | ~ spl0_32
    | spl0_81 ),
    inference(resolution,[],[f312,f540]) ).

fof(f1750,plain,
    ( c3_1(a2279)
    | ~ c0_1(a2279)
    | ~ spl0_32
    | spl0_66 ),
    inference(resolution,[],[f312,f471]) ).

fof(f1761,plain,
    ( ~ spl0_177
    | spl0_97
    | ~ spl0_32
    | spl0_98 ),
    inference(avatar_split_clause,[],[f1746,f615,f311,f611,f1258]) ).

fof(f1769,plain,
    ( spl0_9
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f1379,f244,f205,f231]) ).

fof(f1782,plain,
    ( ~ c3_1(a2323)
    | ~ c0_1(a2323)
    | ~ spl0_18
    | ~ spl0_136 ),
    inference(resolution,[],[f776,f262]) ).

fof(f1810,plain,
    ( c2_1(a2278)
    | ~ c3_1(a2278)
    | ~ spl0_13
    | ~ spl0_148 ),
    inference(resolution,[],[f245,f825]) ).

fof(f1815,plain,
    ( c2_1(a2276)
    | ~ c3_1(a2276)
    | ~ spl0_13
    | ~ spl0_112 ),
    inference(resolution,[],[f245,f680]) ).

fof(f1819,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_13
    | ~ spl0_40 ),
    inference(resolution,[],[f343,f245]) ).

fof(f1823,plain,
    ( ~ c3_1(a2345)
    | c0_1(a2345)
    | ~ spl0_40
    | spl0_108 ),
    inference(resolution,[],[f343,f663]) ).

fof(f1825,plain,
    ( ~ c3_1(a2323)
    | c0_1(a2323)
    | ~ spl0_40
    | spl0_99 ),
    inference(resolution,[],[f343,f621]) ).

fof(f1833,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_13
    | ~ spl0_40 ),
    inference(duplicate_literal_removal,[],[f1819]) ).

fof(f1844,plain,
    ( c3_1(a2324)
    | c0_1(a2324)
    | ~ spl0_42
    | ~ spl0_137 ),
    inference(resolution,[],[f352,f780]) ).

fof(f1845,plain,
    ( c3_1(a2316)
    | c0_1(a2316)
    | ~ spl0_42
    | ~ spl0_134 ),
    inference(resolution,[],[f352,f768]) ).

fof(f1849,plain,
    ( spl0_177
    | spl0_97
    | ~ spl0_42
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1845,f767,f351,f611,f1258]) ).

fof(f1850,plain,
    ( spl0_101
    | spl0_100
    | ~ spl0_42
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1844,f779,f351,f625,f629]) ).

fof(f1852,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_13
    | ~ spl0_44 ),
    inference(resolution,[],[f359,f245]) ).

fof(f1856,plain,
    ( c2_1(a2345)
    | c0_1(a2345)
    | ~ spl0_44
    | spl0_108 ),
    inference(resolution,[],[f359,f663]) ).

fof(f1864,plain,
    ( c2_1(a2291)
    | c0_1(a2291)
    | ~ spl0_44
    | spl0_78 ),
    inference(resolution,[],[f359,f526]) ).

fof(f1866,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_13
    | ~ spl0_44 ),
    inference(duplicate_literal_removal,[],[f1852]) ).

fof(f1868,plain,
    ( spl0_79
    | spl0_77
    | ~ spl0_44
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1864,f525,f358,f521,f529]) ).

fof(f1879,plain,
    ( spl0_103
    | ~ spl0_138
    | ~ spl0_11
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1275,f634,f238,f783,f638]) ).

fof(f1882,plain,
    ( spl0_72
    | ~ spl0_181
    | ~ spl0_11
    | spl0_71 ),
    inference(avatar_split_clause,[],[f1623,f493,f238,f1627,f497]) ).

fof(f1883,plain,
    ( spl0_109
    | ~ spl0_174
    | ~ spl0_11
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1494,f662,f238,f1189,f666]) ).

fof(f1884,plain,
    ( spl0_162
    | ~ spl0_128
    | ~ spl0_11
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1495,f561,f238,f743,f935]) ).

fof(f1885,plain,
    ( ~ spl0_153
    | spl0_176
    | ~ spl0_30
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1601,f850,f304,f1234,f845]) ).

fof(f1889,plain,
    ( ~ spl0_172
    | spl0_103
    | ~ spl0_30
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1732,f783,f304,f638,f1113]) ).

fof(f1899,plain,
    ( c3_1(a2277)
    | ~ c0_1(a2277)
    | ~ spl0_32
    | spl0_64 ),
    inference(resolution,[],[f462,f312]) ).

fof(f1900,plain,
    ( ~ spl0_114
    | spl0_160
    | ~ spl0_32
    | spl0_64 ),
    inference(avatar_split_clause,[],[f1899,f461,f311,f923,f687]) ).

fof(f1904,plain,
    ( ~ c0_1(a2308)
    | ~ c3_1(a2308)
    | ~ spl0_1
    | spl0_96 ),
    inference(resolution,[],[f607,f206]) ).

fof(f1905,plain,
    ( ~ spl0_133
    | ~ spl0_166
    | ~ spl0_1
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1904,f606,f205,f976,f763]) ).

fof(f1914,plain,
    ( c3_1(a2285)
    | ~ c2_1(a2285)
    | ~ spl0_7
    | ~ spl0_119 ),
    inference(resolution,[],[f708,f225]) ).

fof(f1915,plain,
    ( ~ c2_1(a2285)
    | ~ c0_1(a2285)
    | ~ spl0_10
    | ~ spl0_119 ),
    inference(resolution,[],[f708,f235]) ).

fof(f1916,plain,
    ( ~ spl0_120
    | ~ spl0_164
    | ~ spl0_10
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1915,f707,f234,f949,f711]) ).

fof(f1937,plain,
    ( c0_1(a2276)
    | ~ c2_1(a2276)
    | ~ spl0_5
    | ~ spl0_112 ),
    inference(resolution,[],[f219,f680]) ).

fof(f1938,plain,
    ( ~ spl0_178
    | spl0_63
    | ~ spl0_5
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1937,f679,f218,f456,f1320]) ).

fof(f1939,plain,
    ( c3_1(a2285)
    | ~ c0_1(a2285)
    | ~ spl0_32
    | spl0_164 ),
    inference(resolution,[],[f950,f312]) ).

fof(f1950,plain,
    ( ~ spl0_170
    | ~ spl0_126
    | ~ spl0_1
    | spl0_82 ),
    inference(avatar_split_clause,[],[f1375,f543,f205,f735,f1038]) ).

fof(f1951,plain,
    ( c0_1(a2315)
    | ~ c2_1(a2315)
    | ~ spl0_5
    | ~ spl0_155 ),
    inference(resolution,[],[f855,f219]) ).

fof(f1953,plain,
    ( ~ spl0_154
    | spl0_176
    | ~ spl0_5
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1951,f854,f218,f1234,f850]) ).

fof(f1954,plain,
    ( ~ c0_1(a2342)
    | ~ c3_1(a2342)
    | ~ spl0_9
    | spl0_107 ),
    inference(resolution,[],[f232,f658]) ).

fof(f1959,plain,
    ( ~ c0_1(a2294)
    | ~ c3_1(a2294)
    | ~ spl0_9
    | spl0_81 ),
    inference(resolution,[],[f232,f540]) ).

fof(f1963,plain,
    ( ~ c0_1(a2277)
    | ~ c3_1(a2277)
    | ~ spl0_9
    | spl0_64 ),
    inference(resolution,[],[f232,f462]) ).

fof(f1967,plain,
    ( ~ spl0_160
    | ~ spl0_114
    | ~ spl0_9
    | spl0_64 ),
    inference(avatar_split_clause,[],[f1963,f461,f231,f687,f923]) ).

fof(f1968,plain,
    ( ~ spl0_170
    | ~ spl0_126
    | ~ spl0_9
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1959,f539,f231,f735,f1038]) ).

fof(f1971,plain,
    ( ~ spl0_142
    | ~ spl0_143
    | ~ spl0_9
    | spl0_107 ),
    inference(avatar_split_clause,[],[f1954,f657,f231,f803,f799]) ).

fof(f1974,plain,
    ( ~ spl0_149
    | ~ spl0_147
    | ~ spl0_4
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1169,f824,f214,f819,f828]) ).

fof(f1976,plain,
    ( ~ spl0_114
    | ~ spl0_160
    | ~ spl0_4
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1176,f683,f214,f923,f687]) ).

fof(f1977,plain,
    ( ~ spl0_123
    | spl0_163
    | ~ spl0_6
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f932,f719,f221,f941,f723]) ).

fof(f1981,plain,
    ( ~ spl0_162
    | spl0_85
    | ~ spl0_6
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1222,f743,f221,f557,f935]) ).

fof(f1982,plain,
    ( ~ spl0_125
    | spl0_80
    | ~ spl0_6
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1223,f727,f221,f534,f731]) ).

fof(f1987,plain,
    ( ~ spl0_147
    | spl0_175
    | ~ spl0_13
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1810,f824,f244,f1204,f819]) ).

fof(f1988,plain,
    ( ~ spl0_111
    | spl0_178
    | ~ spl0_13
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1815,f679,f244,f1320,f675]) ).

fof(f1989,plain,
    ( spl0_75
    | spl0_167
    | ~ spl0_14
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1014,f507,f248,f1002,f511]) ).

fof(f1992,plain,
    ( spl0_177
    | spl0_97
    | ~ spl0_14
    | spl0_98 ),
    inference(avatar_split_clause,[],[f1340,f615,f248,f611,f1258]) ).

fof(f1995,plain,
    ( spl0_91
    | spl0_89
    | ~ spl0_14
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1346,f580,f248,f576,f584]) ).

fof(f2001,plain,
    ( ~ spl0_123
    | ~ spl0_163
    | ~ spl0_18
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1723,f719,f261,f941,f723]) ).

fof(f2002,plain,
    ( ~ spl0_182
    | ~ spl0_135
    | ~ spl0_18
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1782,f775,f261,f771,f1657]) ).

fof(f2006,plain,
    ( ~ spl0_114
    | spl0_64
    | ~ spl0_2
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1059,f683,f208,f461,f687]) ).

fof(f2010,plain,
    ( ~ spl0_149
    | spl0_175
    | ~ spl0_2
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1251,f824,f208,f1204,f828]) ).

fof(f2011,plain,
    ( ~ spl0_120
    | spl0_164
    | ~ spl0_2
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1255,f707,f208,f949,f711]) ).

fof(f2021,plain,
    ( ~ spl0_164
    | spl0_73
    | ~ spl0_7
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1914,f707,f224,f502,f949]) ).

fof(f2026,plain,
    ( spl0_93
    | spl0_92
    | ~ spl0_8
    | spl0_94 ),
    inference(avatar_split_clause,[],[f958,f597,f228,f589,f593]) ).

fof(f2028,plain,
    ( spl0_179
    | spl0_83
    | ~ spl0_8
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1479,f552,f228,f548,f1438]) ).

fof(f2031,plain,
    ( ~ spl0_120
    | spl0_73
    | ~ spl0_17
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1123,f707,f258,f502,f711]) ).

fof(f2038,plain,
    ( ~ spl0_114
    | spl0_160
    | ~ spl0_17
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1712,f683,f258,f923,f687]) ).

fof(f2041,plain,
    ( spl0_64
    | spl0_160
    | ~ spl0_21
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1547,f683,f272,f923,f461]) ).

fof(f2042,plain,
    ( ~ spl0_162
    | spl0_85
    | ~ spl0_27
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1508,f561,f293,f557,f935]) ).

fof(f2043,plain,
    ( ~ spl0_127
    | spl0_83
    | ~ spl0_27
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1509,f552,f293,f548,f739]) ).

fof(f2044,plain,
    ( ~ spl0_120
    | spl0_73
    | ~ spl0_32
    | spl0_164 ),
    inference(avatar_split_clause,[],[f1939,f949,f311,f502,f711]) ).

fof(f2045,plain,
    ( ~ spl0_126
    | spl0_170
    | ~ spl0_32
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1747,f539,f311,f1038,f735]) ).

fof(f2046,plain,
    ( ~ spl0_115
    | spl0_65
    | ~ spl0_32
    | spl0_66 ),
    inference(avatar_split_clause,[],[f1750,f470,f311,f466,f691]) ).

fof(f2048,plain,
    ( spl0_15
    | ~ spl0_13
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f1833,f342,f244,f251]) ).

fof(f2049,plain,
    ( spl0_109
    | ~ spl0_144
    | ~ spl0_40
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1823,f662,f342,f807,f666]) ).

fof(f2051,plain,
    ( spl0_182
    | ~ spl0_135
    | ~ spl0_40
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1825,f620,f342,f771,f1657]) ).

fof(f2054,plain,
    ( spl0_15
    | ~ spl0_13
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f1866,f358,f244,f251]) ).

fof(f2055,plain,
    ( spl0_109
    | spl0_174
    | ~ spl0_44
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1856,f662,f358,f1189,f666]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f216]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f226]) ).

cnf(s3,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f236]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f246]) ).

cnf(s5,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_14
    | spl0_15 ),
    inference(sat_conversion,[],[f253]) ).

cnf(s6,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_17
    | spl0_18 ),
    inference(sat_conversion,[],[f263]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_18
    | spl0_19 ),
    inference(sat_conversion,[],[f267]) ).

cnf(s10,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f288]) ).

cnf(s11,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_26
    | spl0_27 ),
    inference(sat_conversion,[],[f295]) ).

cnf(s12,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_24
    | spl0_28 ),
    inference(sat_conversion,[],[f299]) ).

cnf(s14,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_31
    | spl0_32 ),
    inference(sat_conversion,[],[f313]) ).

cnf(s15,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_32
    | spl0_33 ),
    inference(sat_conversion,[],[f317]) ).

cnf(s16,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_25
    | spl0_34 ),
    inference(sat_conversion,[],[f321]) ).

cnf(s17,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_30
    | spl0_35 ),
    inference(sat_conversion,[],[f325]) ).

cnf(s18,plain,
    ( ~ spl0_3
    | spl0_25
    | spl0_30
    | spl0_36 ),
    inference(sat_conversion,[],[f329]) ).

cnf(s20,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_21
    | spl0_38 ),
    inference(sat_conversion,[],[f337]) ).

cnf(s22,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_13
    | spl0_26 ),
    inference(sat_conversion,[],[f345]) ).

cnf(s23,plain,
    ( ~ spl0_3
    | spl0_27
    | spl0_32
    | spl0_34 ),
    inference(sat_conversion,[],[f346]) ).

cnf(s25,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_43
    | spl0_44 ),
    inference(sat_conversion,[],[f360]) ).

cnf(s26,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_27
    | spl0_39 ),
    inference(sat_conversion,[],[f361]) ).

cnf(s27,plain,
    ( ~ spl0_3
    | spl0_25
    | spl0_26
    | spl0_44 ),
    inference(sat_conversion,[],[f362]) ).

cnf(s28,plain,
    ( ~ spl0_3
    | spl0_24
    | spl0_40
    | spl0_44 ),
    inference(sat_conversion,[],[f363]) ).

cnf(s32,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_19
    | spl0_48 ),
    inference(sat_conversion,[],[f379]) ).

cnf(s33,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_19
    | spl0_49 ),
    inference(sat_conversion,[],[f383]) ).

cnf(s34,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_35
    | spl0_50 ),
    inference(sat_conversion,[],[f387]) ).

cnf(s37,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_51
    | spl0_53 ),
    inference(sat_conversion,[],[f399]) ).

cnf(s39,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_22
    | spl0_35 ),
    inference(sat_conversion,[],[f401]) ).

cnf(s41,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_53
    | spl0_54 ),
    inference(sat_conversion,[],[f406]) ).

cnf(s45,plain,
    ( ~ spl0_3
    | spl0_22
    | spl0_30
    | spl0_48 ),
    inference(sat_conversion,[],[f410]) ).

cnf(s47,plain,
    ( ~ spl0_3
    | spl0_29
    | spl0_33
    | spl0_38 ),
    inference(sat_conversion,[],[f415]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | spl0_31
    | spl0_32
    | spl0_54 ),
    inference(sat_conversion,[],[f417]) ).

cnf(s50,plain,
    ( ~ spl0_3
    | spl0_30
    | spl0_56 ),
    inference(sat_conversion,[],[f421]) ).

cnf(s53,plain,
    ( ~ spl0_3
    | spl0_26
    | spl0_33
    | spl0_42 ),
    inference(sat_conversion,[],[f430]) ).

cnf(s56,plain,
    ( ~ spl0_3
    | spl0_37
    | spl0_40
    | spl0_50 ),
    inference(sat_conversion,[],[f436]) ).

cnf(s57,plain,
    ( ~ spl0_3
    | spl0_40
    | spl0_50
    | spl0_60 ),
    inference(sat_conversion,[],[f440]) ).

cnf(s58,plain,
    ( ~ spl0_3
    | spl0_22
    | spl0_27 ),
    inference(sat_conversion,[],[f441]) ).

cnf(s59,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_53
    | spl0_61 ),
    inference(sat_conversion,[],[f445]) ).

cnf(s60,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_22
    | spl0_41 ),
    inference(sat_conversion,[],[f446]) ).

cnf(s61,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_60
    | spl0_62 ),
    inference(sat_conversion,[],[f450]) ).

cnf(s62,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_43
    | spl0_45 ),
    inference(sat_conversion,[],[f451]) ).

cnf(s64,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_44
    | spl0_49 ),
    inference(sat_conversion,[],[f453]) ).

cnf(s65,plain,
    ( ~ spl0_24
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f458]) ).

cnf(s66,plain,
    ( ~ spl0_26
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f463]) ).

cnf(s67,plain,
    ( ~ spl0_49
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f468]) ).

cnf(s68,plain,
    ( ~ spl0_49
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s69,plain,
    ( ~ spl0_16
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f477]) ).

cnf(s72,plain,
    ( ~ spl0_39
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f491]) ).

cnf(s73,plain,
    ( ~ spl0_39
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f495]) ).

cnf(s74,plain,
    ( ~ spl0_39
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f499]) ).

cnf(s75,plain,
    ( ~ spl0_60
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f504]) ).

cnf(s76,plain,
    ( ~ spl0_50
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f509]) ).

cnf(s77,plain,
    ( ~ spl0_50
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f513]) ).

cnf(s79,plain,
    ( ~ spl0_45
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f523]) ).

cnf(s80,plain,
    ( ~ spl0_45
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f527]) ).

cnf(s81,plain,
    ( ~ spl0_45
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f531]) ).

cnf(s82,plain,
    ( ~ spl0_62
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f536]) ).

cnf(s83,plain,
    ( ~ spl0_41
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f541]) ).

cnf(s84,plain,
    ( ~ spl0_41
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f545]) ).

cnf(s85,plain,
    ( ~ spl0_22
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f550]) ).

cnf(s86,plain,
    ( ~ spl0_22
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f554]) ).

cnf(s87,plain,
    ( ~ spl0_48
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f559]) ).

cnf(s88,plain,
    ( ~ spl0_48
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f563]) ).

cnf(s89,plain,
    ( ~ spl0_33
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f568]) ).

cnf(s91,plain,
    ( ~ spl0_51
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f578]) ).

cnf(s92,plain,
    ( ~ spl0_51
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f582]) ).

cnf(s93,plain,
    ( ~ spl0_51
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f586]) ).

cnf(s94,plain,
    ( ~ spl0_38
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f591]) ).

cnf(s95,plain,
    ( ~ spl0_38
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s96,plain,
    ( ~ spl0_38
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f599]) ).

cnf(s97,plain,
    ( ~ spl0_19
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f604]) ).

cnf(s98,plain,
    ( ~ spl0_19
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f608]) ).

cnf(s99,plain,
    ( ~ spl0_35
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f613]) ).

cnf(s100,plain,
    ( ~ spl0_35
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f617]) ).

cnf(s101,plain,
    ( ~ spl0_56
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f622]) ).

cnf(s102,plain,
    ( ~ spl0_53
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f627]) ).

cnf(s103,plain,
    ( ~ spl0_53
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f631]) ).

cnf(s104,plain,
    ( ~ spl0_61
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f636]) ).

cnf(s105,plain,
    ( ~ spl0_61
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f640]) ).

cnf(s106,plain,
    ( ~ spl0_34
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f645]) ).

cnf(s107,plain,
    ( ~ spl0_34
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f649]) ).

cnf(s108,plain,
    ( ~ spl0_54
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f654]) ).

cnf(s109,plain,
    ( ~ spl0_31
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f659]) ).

cnf(s110,plain,
    ( ~ spl0_20
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f664]) ).

cnf(s111,plain,
    ( ~ spl0_20
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f668]) ).

cnf(s113,plain,
    ( ~ spl0_24
    | spl0_111 ),
    inference(sat_conversion,[],[f677]) ).

cnf(s114,plain,
    ( ~ spl0_24
    | spl0_112 ),
    inference(sat_conversion,[],[f681]) ).

cnf(s115,plain,
    ( ~ spl0_26
    | spl0_113 ),
    inference(sat_conversion,[],[f685]) ).

cnf(s116,plain,
    ( ~ spl0_26
    | spl0_114 ),
    inference(sat_conversion,[],[f689]) ).

cnf(s117,plain,
    ( ~ spl0_49
    | spl0_115 ),
    inference(sat_conversion,[],[f693]) ).

cnf(s118,plain,
    ( ~ spl0_16
    | spl0_116 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s119,plain,
    ( ~ spl0_16
    | spl0_117 ),
    inference(sat_conversion,[],[f701]) ).

cnf(s121,plain,
    ( ~ spl0_60
    | spl0_119 ),
    inference(sat_conversion,[],[f709]) ).

cnf(s122,plain,
    ( ~ spl0_60
    | spl0_120 ),
    inference(sat_conversion,[],[f713]) ).

cnf(s123,plain,
    ( ~ spl0_50
    | spl0_121 ),
    inference(sat_conversion,[],[f717]) ).

cnf(s124,plain,
    ( ~ spl0_37
    | spl0_122 ),
    inference(sat_conversion,[],[f721]) ).

cnf(s125,plain,
    ( ~ spl0_37
    | spl0_123 ),
    inference(sat_conversion,[],[f725]) ).

cnf(s126,plain,
    ( ~ spl0_62
    | spl0_124 ),
    inference(sat_conversion,[],[f729]) ).

cnf(s127,plain,
    ( ~ spl0_62
    | spl0_125 ),
    inference(sat_conversion,[],[f733]) ).

cnf(s128,plain,
    ( ~ spl0_41
    | spl0_126 ),
    inference(sat_conversion,[],[f737]) ).

cnf(s129,plain,
    ( ~ spl0_22
    | spl0_127 ),
    inference(sat_conversion,[],[f741]) ).

cnf(s130,plain,
    ( ~ spl0_48
    | spl0_128 ),
    inference(sat_conversion,[],[f745]) ).

cnf(s131,plain,
    ( ~ spl0_33
    | spl0_129 ),
    inference(sat_conversion,[],[f749]) ).

cnf(s132,plain,
    ( ~ spl0_33
    | spl0_130 ),
    inference(sat_conversion,[],[f753]) ).

cnf(s135,plain,
    ( ~ spl0_19
    | spl0_133 ),
    inference(sat_conversion,[],[f765]) ).

cnf(s136,plain,
    ( ~ spl0_35
    | spl0_134 ),
    inference(sat_conversion,[],[f769]) ).

cnf(s137,plain,
    ( ~ spl0_56
    | spl0_135 ),
    inference(sat_conversion,[],[f773]) ).

cnf(s138,plain,
    ( ~ spl0_56
    | spl0_136 ),
    inference(sat_conversion,[],[f777]) ).

cnf(s139,plain,
    ( ~ spl0_53
    | spl0_137 ),
    inference(sat_conversion,[],[f781]) ).

cnf(s140,plain,
    ( ~ spl0_61
    | spl0_138 ),
    inference(sat_conversion,[],[f785]) ).

cnf(s141,plain,
    ( ~ spl0_34
    | spl0_139 ),
    inference(sat_conversion,[],[f789]) ).

cnf(s142,plain,
    ( ~ spl0_54
    | spl0_140 ),
    inference(sat_conversion,[],[f793]) ).

cnf(s143,plain,
    ( ~ spl0_54
    | spl0_141 ),
    inference(sat_conversion,[],[f797]) ).

cnf(s144,plain,
    ( ~ spl0_31
    | spl0_142 ),
    inference(sat_conversion,[],[f801]) ).

cnf(s145,plain,
    ( ~ spl0_31
    | spl0_143 ),
    inference(sat_conversion,[],[f805]) ).

cnf(s146,plain,
    ( ~ spl0_20
    | spl0_144 ),
    inference(sat_conversion,[],[f809]) ).

cnf(s149,plain,
    ( ~ spl0_43
    | spl0_147 ),
    inference(sat_conversion,[],[f822]) ).

cnf(s150,plain,
    ( ~ spl0_43
    | spl0_148 ),
    inference(sat_conversion,[],[f826]) ).

cnf(s151,plain,
    ( ~ spl0_43
    | spl0_149 ),
    inference(sat_conversion,[],[f830]) ).

cnf(s155,plain,
    ( ~ spl0_36
    | spl0_153 ),
    inference(sat_conversion,[],[f848]) ).

cnf(s156,plain,
    ( ~ spl0_36
    | spl0_154 ),
    inference(sat_conversion,[],[f852]) ).

cnf(s157,plain,
    ( ~ spl0_36
    | spl0_155 ),
    inference(sat_conversion,[],[f856]) ).

cnf(s158,plain,
    ( spl0_156
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f863]) ).

cnf(s159,plain,
    ( ~ spl0_157
    | spl0_158 ),
    inference(sat_conversion,[],[f867]) ).

cnf(s160,plain,
    ( ~ spl0_157
    | spl0_159 ),
    inference(sat_conversion,[],[f871]) ).

cnf(s161,plain,
    ( spl0_16
    | spl0_33
    | spl0_61 ),
    inference(sat_conversion,[],[f872]) ).

cnf(s162,plain,
    ( spl0_48
    | spl0_54
    | spl0_61 ),
    inference(sat_conversion,[],[f873]) ).

cnf(s164,plain,
    ( spl0_19
    | spl0_61
    | spl0_157 ),
    inference(sat_conversion,[],[f876]) ).

cnf(s165,plain,
    ( spl0_33
    | spl0_50
    | spl0_157 ),
    inference(sat_conversion,[],[f877]) ).

cnf(s166,plain,
    ( spl0_22
    | spl0_24
    | spl0_60 ),
    inference(sat_conversion,[],[f878]) ).

cnf(s167,plain,
    ( spl0_36
    | spl0_41
    | spl0_60 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s168,plain,
    ( spl0_26
    | spl0_33
    | spl0_56 ),
    inference(sat_conversion,[],[f880]) ).

cnf(s169,plain,
    ( spl0_20
    | spl0_43
    | spl0_51 ),
    inference(sat_conversion,[],[f881]) ).

cnf(s170,plain,
    ( spl0_24
    | spl0_43
    | spl0_48 ),
    inference(sat_conversion,[],[f882]) ).

cnf(s178,plain,
    ( spl0_3
    | ~ spl0_60 ),
    inference(sat_conversion,[],[f891]) ).

cnf(s183,plain,
    ( spl0_3
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f896]) ).

cnf(s202,plain,
    ( spl0_3
    | ~ spl0_36 ),
    inference(sat_conversion,[],[f915]) ).

cnf(s211,plain,
    ( ~ spl0_9
    | spl0_95
    | ~ spl0_133
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f978]) ).

cnf(s214,plain,
    ( ~ spl0_13
    | spl0_67
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f1000]) ).

cnf(s215,plain,
    ( ~ spl0_13
    | spl0_74
    | ~ spl0_121
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1005]) ).

cnf(s216,plain,
    ( ~ spl0_7
    | spl0_100
    | ~ spl0_137
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1012]) ).

cnf(s229,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | spl0_18 ),
    inference(sat_conversion,[],[f1086]) ).

cnf(s230,plain,
    ( ~ spl0_15
    | spl0_77
    | spl0_79
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1100]) ).

cnf(s233,plain,
    ( ~ spl0_15
    | spl0_74
    | spl0_75
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1105]) ).

cnf(s242,plain,
    ( ~ spl0_18
    | ~ spl0_156
    | ~ spl0_158
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1145]) ).

cnf(s243,plain,
    ( ~ spl0_8
    | spl0_77
    | spl0_78
    | spl0_169 ),
    inference(sat_conversion,[],[f1146]) ).

cnf(s253,plain,
    ( ~ spl0_15
    | spl0_95
    | ~ spl0_133
    | spl0_166 ),
    inference(sat_conversion,[],[f1157]) ).

cnf(s266,plain,
    ( ~ spl0_5
    | ~ spl0_12
    | spl0_30 ),
    inference(sat_conversion,[],[f1207]) ).

cnf(s286,plain,
    ( ~ spl0_2
    | spl0_98
    | ~ spl0_134
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f1261]) ).

cnf(s316,plain,
    ( ~ spl0_5
    | spl0_101
    | ~ spl0_137
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1358]) ).

cnf(s327,plain,
    ( ~ spl0_14
    | spl0_100
    | spl0_101
    | spl0_168 ),
    inference(sat_conversion,[],[f1384]) ).

cnf(s345,plain,
    ( ~ spl0_25
    | spl0_83
    | spl0_84
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f1464]) ).

cnf(s346,plain,
    ( ~ spl0_25
    | spl0_85
    | spl0_86
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1465]) ).

cnf(s347,plain,
    ( ~ spl0_25
    | spl0_102
    | ~ spl0_138
    | spl0_172 ),
    inference(sat_conversion,[],[f1467]) ).

cnf(s349,plain,
    ( spl0_6
    | ~ spl0_17
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f1469]) ).

cnf(s359,plain,
    ( ~ spl0_27
    | spl0_82
    | ~ spl0_126
    | spl0_170 ),
    inference(sat_conversion,[],[f1514]) ).

cnf(s362,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_27 ),
    inference(sat_conversion,[],[f1517]) ).

cnf(s363,plain,
    ( ~ spl0_21
    | ~ spl0_27
    | spl0_32 ),
    inference(sat_conversion,[],[f1518]) ).

cnf(s373,plain,
    ( ~ spl0_1
    | spl0_106
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f1538]) ).

cnf(s386,plain,
    ( ~ spl0_17
    | ~ spl0_28
    | spl0_32 ),
    inference(sat_conversion,[],[f1579]) ).

cnf(s388,plain,
    ( ~ spl0_29
    | spl0_63
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f1594]) ).

cnf(s397,plain,
    ( ~ spl0_8
    | spl0_70
    | spl0_71
    | spl0_181 ),
    inference(sat_conversion,[],[f1630]) ).

cnf(s420,plain,
    ( ~ spl0_15
    | spl0_104
    | spl0_105
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1665]) ).

cnf(s427,plain,
    ( ~ spl0_10
    | ~ spl0_148
    | ~ spl0_149
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f1684]) ).

cnf(s428,plain,
    ( ~ spl0_10
    | ~ spl0_154
    | ~ spl0_155
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f1685]) ).

cnf(s430,plain,
    ( ~ spl0_12
    | spl0_99
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f1701]) ).

cnf(s432,plain,
    ( ~ spl0_12
    | spl0_108
    | ~ spl0_144
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f1703]) ).

cnf(s436,plain,
    ( ~ spl0_17
    | spl0_97
    | ~ spl0_134
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f1716]) ).

cnf(s438,plain,
    ( ~ spl0_30
    | spl0_87
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1740]) ).

cnf(s445,plain,
    ( ~ spl0_32
    | spl0_97
    | spl0_98
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f1761]) ).

cnf(s453,plain,
    ( ~ spl0_1
    | spl0_9
    | ~ spl0_13 ),
    inference(sat_conversion,[],[f1769]) ).

cnf(s474,plain,
    ( ~ spl0_42
    | spl0_97
    | ~ spl0_134
    | spl0_177 ),
    inference(sat_conversion,[],[f1849]) ).

cnf(s475,plain,
    ( ~ spl0_42
    | spl0_100
    | spl0_101
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1850]) ).

cnf(s478,plain,
    ( ~ spl0_44
    | spl0_77
    | spl0_78
    | spl0_79 ),
    inference(sat_conversion,[],[f1868]) ).

cnf(s488,plain,
    ( ~ spl0_11
    | spl0_102
    | spl0_103
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f1879]) ).

cnf(s491,plain,
    ( ~ spl0_11
    | spl0_71
    | spl0_72
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f1882]) ).

cnf(s492,plain,
    ( ~ spl0_11
    | spl0_108
    | spl0_109
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f1883]) ).

cnf(s493,plain,
    ( ~ spl0_11
    | spl0_86
    | ~ spl0_128
    | spl0_162 ),
    inference(sat_conversion,[],[f1884]) ).

cnf(s495,plain,
    ( ~ spl0_30
    | ~ spl0_153
    | ~ spl0_154
    | spl0_176 ),
    inference(sat_conversion,[],[f1885]) ).

cnf(s499,plain,
    ( ~ spl0_30
    | spl0_103
    | ~ spl0_138
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1889]) ).

cnf(s509,plain,
    ( ~ spl0_32
    | spl0_64
    | ~ spl0_114
    | spl0_160 ),
    inference(sat_conversion,[],[f1900]) ).

cnf(s511,plain,
    ( ~ spl0_1
    | spl0_96
    | ~ spl0_133
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1905]) ).

cnf(s513,plain,
    ( ~ spl0_10
    | ~ spl0_119
    | ~ spl0_120
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1916]) ).

cnf(s517,plain,
    ( ~ spl0_5
    | spl0_63
    | ~ spl0_112
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f1938]) ).

cnf(s528,plain,
    ( ~ spl0_1
    | spl0_82
    | ~ spl0_126
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1950]) ).

cnf(s529,plain,
    ( ~ spl0_5
    | ~ spl0_154
    | ~ spl0_155
    | spl0_176 ),
    inference(sat_conversion,[],[f1953]) ).

cnf(s530,plain,
    ( ~ spl0_9
    | spl0_64
    | ~ spl0_114
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1967]) ).

cnf(s531,plain,
    ( ~ spl0_9
    | spl0_81
    | ~ spl0_126
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1968]) ).

cnf(s533,plain,
    ( ~ spl0_9
    | spl0_107
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1971]) ).

cnf(s536,plain,
    ( ~ spl0_4
    | ~ spl0_147
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1974]) ).

cnf(s538,plain,
    ( ~ spl0_4
    | ~ spl0_113
    | ~ spl0_114
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1976]) ).

cnf(s539,plain,
    ( ~ spl0_6
    | ~ spl0_122
    | ~ spl0_123
    | spl0_163 ),
    inference(sat_conversion,[],[f1977]) ).

cnf(s543,plain,
    ( ~ spl0_6
    | spl0_85
    | ~ spl0_128
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1981]) ).

cnf(s544,plain,
    ( ~ spl0_6
    | spl0_80
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1982]) ).

cnf(s549,plain,
    ( ~ spl0_13
    | ~ spl0_147
    | ~ spl0_148
    | spl0_175 ),
    inference(sat_conversion,[],[f1987]) ).

cnf(s550,plain,
    ( ~ spl0_13
    | ~ spl0_111
    | ~ spl0_112
    | spl0_178 ),
    inference(sat_conversion,[],[f1988]) ).

cnf(s551,plain,
    ( ~ spl0_14
    | spl0_74
    | spl0_75
    | spl0_167 ),
    inference(sat_conversion,[],[f1989]) ).

cnf(s554,plain,
    ( ~ spl0_14
    | spl0_97
    | spl0_98
    | spl0_177 ),
    inference(sat_conversion,[],[f1992]) ).

cnf(s557,plain,
    ( ~ spl0_14
    | spl0_89
    | spl0_90
    | spl0_91 ),
    inference(sat_conversion,[],[f1995]) ).

cnf(s563,plain,
    ( ~ spl0_18
    | ~ spl0_122
    | ~ spl0_123
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2001]) ).

cnf(s564,plain,
    ( ~ spl0_18
    | ~ spl0_135
    | ~ spl0_136
    | ~ spl0_182 ),
    inference(sat_conversion,[],[f2002]) ).

cnf(s568,plain,
    ( ~ spl0_2
    | spl0_64
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f2006]) ).

cnf(s572,plain,
    ( ~ spl0_2
    | ~ spl0_148
    | ~ spl0_149
    | spl0_175 ),
    inference(sat_conversion,[],[f2010]) ).

cnf(s573,plain,
    ( ~ spl0_2
    | ~ spl0_119
    | ~ spl0_120
    | spl0_164 ),
    inference(sat_conversion,[],[f2011]) ).

cnf(s584,plain,
    ( ~ spl0_7
    | spl0_73
    | ~ spl0_119
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2021]) ).

cnf(s589,plain,
    ( ~ spl0_8
    | spl0_92
    | spl0_93
    | spl0_94 ),
    inference(sat_conversion,[],[f2026]) ).

cnf(s591,plain,
    ( ~ spl0_8
    | spl0_83
    | spl0_84
    | spl0_179 ),
    inference(sat_conversion,[],[f2028]) ).

cnf(s595,plain,
    ( ~ spl0_17
    | spl0_73
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f2031]) ).

cnf(s602,plain,
    ( ~ spl0_17
    | ~ spl0_113
    | ~ spl0_114
    | spl0_160 ),
    inference(sat_conversion,[],[f2038]) ).

cnf(s606,plain,
    ( ~ spl0_21
    | spl0_64
    | ~ spl0_113
    | spl0_160 ),
    inference(sat_conversion,[],[f2041]) ).

cnf(s607,plain,
    ( ~ spl0_27
    | spl0_85
    | spl0_86
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2042]) ).

cnf(s608,plain,
    ( ~ spl0_27
    | spl0_83
    | spl0_84
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f2043]) ).

cnf(s609,plain,
    ( ~ spl0_32
    | spl0_73
    | ~ spl0_120
    | spl0_164 ),
    inference(sat_conversion,[],[f2044]) ).

cnf(s610,plain,
    ( ~ spl0_32
    | spl0_81
    | ~ spl0_126
    | spl0_170 ),
    inference(sat_conversion,[],[f2045]) ).

cnf(s611,plain,
    ( ~ spl0_32
    | spl0_65
    | spl0_66
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f2046]) ).

cnf(s613,plain,
    ( ~ spl0_13
    | spl0_15
    | ~ spl0_40 ),
    inference(sat_conversion,[],[f2048]) ).

cnf(s614,plain,
    ( ~ spl0_40
    | spl0_108
    | spl0_109
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f2049]) ).

cnf(s616,plain,
    ( ~ spl0_40
    | spl0_99
    | ~ spl0_135
    | spl0_182 ),
    inference(sat_conversion,[],[f2051]) ).

cnf(s619,plain,
    ( ~ spl0_13
    | spl0_15
    | ~ spl0_44 ),
    inference(sat_conversion,[],[f2054]) ).

cnf(s620,plain,
    ( ~ spl0_44
    | spl0_108
    | spl0_109
    | spl0_174 ),
    inference(sat_conversion,[],[f2055]) ).

cnf(s628,plain,
    spl0_3,
    inference(rat,[],[s167,s178,s183,s202]) ).

cnf(s629,plain,
    ( ~ spl0_34
    | ~ spl0_15 ),
    inference(rat,[],[s420,s106,s107,s141]) ).

cnf(s630,plain,
    ( ~ spl0_49
    | ~ spl0_32 ),
    inference(rat,[],[s611,s67,s68,s117]) ).

cnf(s632,plain,
    ( ~ spl0_33
    | ~ spl0_30 ),
    inference(rat,[],[s438,s89,s131,s132]) ).

cnf(s633,plain,
    ( ~ spl0_30
    | ~ spl0_25
    | spl0_16 ),
    inference(rat,[],[s347,s499,s104,s105,s140,s161,s632]) ).

cnf(s634,plain,
    ( ~ spl0_157
    | ~ spl0_18 ),
    inference(rat,[],[s242,s158,s159,s160]) ).

cnf(s636,plain,
    ( ~ spl0_60
    | ~ spl0_32
    | ~ spl0_10 ),
    inference(rat,[],[s609,s513,s75,s121,s122]) ).

cnf(s637,plain,
    ( ~ spl0_45
    | ~ spl0_44 ),
    inference(rat,[],[s478,s79,s80,s81]) ).

cnf(s638,plain,
    ( ~ spl0_43
    | ~ spl0_4 ),
    inference(rat,[],[s536,s149,s150,s151]) ).

cnf(s639,plain,
    ( ~ spl0_16
    | ~ spl0_13 ),
    inference(rat,[],[s214,s69,s118,s119]) ).

cnf(s640,plain,
    ( ~ spl0_51
    | ~ spl0_14 ),
    inference(rat,[],[s557,s91,s92,s93]) ).

cnf(s641,plain,
    ( ~ spl0_32
    | ~ spl0_13
    | ~ spl0_10
    | spl0_43 ),
    inference(rat,[],[s233,s551,s76,s77,s57,s614,s110,s111,s146,s169,s640,s62,s637,s619,s64,s636,s630,s639,s628]) ).

cnf(s642,plain,
    ( ~ spl0_53
    | ~ spl0_14
    | ~ spl0_7 ),
    inference(rat,[],[s216,s327,s102,s103,s139]) ).

cnf(s643,plain,
    ( ~ spl0_13
    | ~ spl0_10
    | spl0_6
    | spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s538,s602,s115,s116,s27,s349,s37,s642,s640,s5,s619,s629,s23,s641,s638,s362,s2,s628]) ).

cnf(s644,plain,
    ( spl0_43
    | spl0_13 ),
    inference(rat,[],[s4,s432,s492,s620,s110,s111,s146,s169,s640,s62,s637,s25,s628]) ).

cnf(s645,plain,
    ( spl0_6
    | spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s3,s589,s533,s109,s144,s145,s94,s95,s96,s14,s20,s509,s606,s538,s66,s115,s116,s11,s643,s362,s2,s644,s638,s628]) ).

cnf(s646,plain,
    ( ~ spl0_62
    | ~ spl0_6 ),
    inference(rat,[],[s544,s82,s126,s127]) ).

cnf(s647,plain,
    ( ~ spl0_22
    | ~ spl0_27 ),
    inference(rat,[],[s608,s85,s86,s129]) ).

cnf(s648,plain,
    ( spl0_14
    | spl0_62
    | spl0_5
    | spl0_43
    | spl0_2 ),
    inference(rat,[],[s346,s87,s88,s130,s45,s647,s16,s595,s75,s121,s122,s61,s632,s23,s15,s630,s64,s637,s629,s62,s5,s639,s644,s628]) ).

cnf(s649,plain,
    ( spl0_34
    | spl0_30
    | spl0_32
    | ~ spl0_14 ),
    inference(rat,[],[s16,s436,s346,s554,s87,s88,s130,s99,s100,s136,s45,s17,s647,s363,s23,s628]) ).

cnf(s650,plain,
    ( ~ spl0_50
    | ~ spl0_14
    | ~ spl0_13 ),
    inference(rat,[],[s215,s551,s76,s77,s123]) ).

cnf(s651,plain,
    ( spl0_5
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s563,s6,s539,s595,s124,s125,s75,s121,s122,s56,s57,s650,s614,s110,s111,s146,s169,s640,s648,s646,s645,s639,s644,s638,s628]) ).

cnf(s652,plain,
    ( ~ spl0_24
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(rat,[],[s517,s550,s65,s113,s114]) ).

cnf(s653,plain,
    ( spl0_44
    | spl0_24
    | spl0_16
    | spl0_2 ),
    inference(rat,[],[s386,s12,s6,s564,s616,s28,s101,s137,s138,s50,s632,s15,s630,s64,s628]) ).

cnf(s654,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s595,s75,s121,s122,s57,s614,s110,s111,s146,s169,s650,s640,s16,s62,s629,s637,s619,s653,s346,s87,s88,s130,s170,s652,s651,s639,s644,s638,s1,s628]) ).

cnf(s655,plain,
    ( spl0_5
    | spl0_14
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s531,s359,s3,s83,s84,s128,s513,s60,s573,s647,s121,s122,s243,s23,s61,s230,s629,s646,s5,s645,s81,s80,s79,s630,s64,s637,s62,s639,s644,s638,s628]) ).

cnf(s656,plain,
    ( spl0_14
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s602,s538,s115,s116,s16,s27,s346,s629,s87,s88,s130,s613,s170,s28,s652,s655,s637,s62,s644,s638,s628]) ).

cnf(s657,plain,
    ( ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s554,s286,s99,s100,s136,s34,s584,s573,s75,s121,s122,s57,s614,s110,s111,s146,s169,s650,s640,s656,s644,s638,s628]) ).

cnf(s658,plain,
    ( ~ spl0_60
    | ~ spl0_10
    | ~ spl0_2 ),
    inference(rat,[],[s573,s513,s121,s122]) ).

cnf(s659,plain,
    ( spl0_5
    | spl0_43
    | spl0_14
    | ~ spl0_2 ),
    inference(rat,[],[s362,s2,s646,s61,s658,s3,s531,s359,s83,s84,s128,s60,s647,s243,s23,s230,s629,s5,s81,s80,s79,s630,s64,s637,s62,s639,s644,s628]) ).

cnf(s660,plain,
    ( spl0_43
    | spl0_14
    | ~ spl0_2 ),
    inference(rat,[],[s346,s87,s88,s130,s170,s10,s652,s659,s644,s657,s628]) ).

cnf(s661,plain,
    ( ~ spl0_48
    | ~ spl0_25 ),
    inference(rat,[],[s346,s87,s88,s130]) ).

cnf(s662,plain,
    ( ~ spl0_25
    | spl0_16
    | ~ spl0_15
    | spl0_10 ),
    inference(rat,[],[s591,s3,s345,s211,s253,s85,s86,s97,s135,s45,s32,s661,s633,s628]) ).

cnf(s663,plain,
    ( ~ spl0_60
    | ~ spl0_17 ),
    inference(rat,[],[s595,s75,s121,s122]) ).

cnf(s664,plain,
    ( ~ spl0_26
    | ~ spl0_2 ),
    inference(rat,[],[s568,s66,s115,s116]) ).

cnf(s665,plain,
    ( spl0_14
    | ~ spl0_2 ),
    inference(rat,[],[s362,s2,s646,s61,s663,s16,s629,s619,s652,s4,s493,s27,s10,s607,s430,s661,s87,s88,s130,s101,s137,s138,s45,s50,s632,s53,s474,s286,s99,s100,s136,s39,s531,s359,s83,s84,s128,s60,s647,s11,s427,s572,s150,s151,s660,s657,s664,s628]) ).

cnf(s666,plain,
    ( spl0_43
    | ~ spl0_15
    | ~ spl0_2 ),
    inference(rat,[],[s16,s662,s663,s658,s57,s614,s110,s111,s146,s650,s639,s169,s644,s640,s665,s629,s628]) ).

cnf(s667,plain,
    ( ~ spl0_35
    | ~ spl0_2 ),
    inference(rat,[],[s554,s286,s99,s100,s136,s665]) ).

cnf(s668,plain,
    ( ~ spl0_19
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(rat,[],[s211,s253,s97,s135]) ).

cnf(s669,plain,
    ( ~ spl0_15
    | spl0_5
    | ~ spl0_2 ),
    inference(rat,[],[s650,s22,s165,s493,s632,s607,s649,s634,s87,s88,s130,s630,s7,s32,s33,s668,s39,s647,s11,s427,s572,s150,s151,s666,s629,s664,s665,s667,s628]) ).

cnf(s670,plain,
    ( ~ spl0_13
    | spl0_15
    | ~ spl0_2 ),
    inference(rat,[],[s37,s663,s642,s57,s34,s613,s650,s640,s665,s667,s628]) ).

cnf(s672,plain,
    ( ~ spl0_61
    | ~ spl0_11 ),
    inference(rat,[],[s488,s104,s105,s140]) ).

cnf(s673,plain,
    ( spl0_33
    | spl0_29
    | spl0_61
    | spl0_26 ),
    inference(rat,[],[s475,s102,s103,s139,s59,s589,s94,s95,s96,s47,s53,s628]) ).

cnf(s674,plain,
    ( ~ spl0_48
    | ~ spl0_27
    | ~ spl0_11 ),
    inference(rat,[],[s607,s493,s87,s88,s130]) ).

cnf(s675,plain,
    ( ~ spl0_24
    | ~ spl0_29 ),
    inference(rat,[],[s388,s65,s113,s114]) ).

cnf(s676,plain,
    ( spl0_13
    | ~ spl0_2 ),
    inference(rat,[],[s475,s102,s103,s139,s37,s663,s166,s675,s673,s53,s632,s45,s674,s672,s647,s11,s427,s572,s150,s151,s22,s644,s664,s640,s665,s628]) ).

cnf(s677,plain,
    ~ spl0_2,
    inference(rat,[],[s662,s427,s10,s572,s652,s150,s151,s669,s666,s670,s639,s676,s657,s628]) ).

cnf(s678,plain,
    spl0_1,
    inference(rat,[],[s654,s677]) ).

cnf(s679,plain,
    ( ~ spl0_10
    | ~ spl0_32
    | ~ spl0_13 ),
    inference(rat,[],[s549,s427,s149,s150,s151,s641]) ).

cnf(s680,plain,
    ( ~ spl0_32
    | spl0_19
    | ~ spl0_13 ),
    inference(rat,[],[s679,s33,s630,s628]) ).

cnf(s681,plain,
    ( ~ spl0_27
    | spl0_14 ),
    inference(rat,[],[s359,s528,s84,s128,s60,s647,s678,s628]) ).

cnf(s682,plain,
    ( ~ spl0_13
    | ~ spl0_32
    | ~ spl0_15 ),
    inference(rat,[],[s668,s680,s453,s678]) ).

cnf(s683,plain,
    ( ~ spl0_19
    | ~ spl0_15 ),
    inference(rat,[],[s253,s511,s97,s98,s135,s678]) ).

cnf(s684,plain,
    ( ~ spl0_56
    | ~ spl0_12 ),
    inference(rat,[],[s430,s101,s137,s138]) ).

cnf(s685,plain,
    ( ~ spl0_36
    | ~ spl0_30
    | ~ spl0_10 ),
    inference(rat,[],[s495,s428,s155,s156,s157]) ).

cnf(s686,plain,
    ( ~ spl0_32
    | ~ spl0_15 ),
    inference(rat,[],[s610,s528,s83,s84,s128,s167,s685,s50,s684,s4,s672,s164,s634,s636,s229,s33,s682,s630,s683,s678,s628]) ).

cnf(s687,plain,
    ~ spl0_15,
    inference(rat,[],[s649,s681,s632,s23,s15,s686,s629,s628,s677]) ).

cnf(s688,plain,
    ~ spl0_13,
    inference(rat,[],[s2,s539,s642,s563,s37,s6,s124,s125,s663,s56,s57,s650,s640,s5,s652,s653,s613,s619,s639,s628,s687,s677]) ).

cnf(s689,plain,
    spl0_43,
    inference(rat,[],[s644,s688]) ).

cnf(s693,plain,
    ~ spl0_4,
    inference(rat,[],[s638,s689]) ).

cnf(s694,plain,
    ~ spl0_54,
    inference(rat,[],[s373,s108,s142,s143,s678]) ).

cnf(s695,plain,
    ( ~ spl0_36
    | ~ spl0_10
    | ~ spl0_5 ),
    inference(rat,[],[s529,s428,s156,s157]) ).

cnf(s696,plain,
    ( spl0_30
    | spl0_36
    | ~ spl0_5 ),
    inference(rat,[],[s162,s672,s661,s4,s18,s266,s694,s628,s688]) ).

cnf(s697,plain,
    ( ~ spl0_10
    | ~ spl0_5 ),
    inference(rat,[],[s610,s528,s83,s84,s128,s167,s636,s15,s632,s696,s695,s677,s628,s678]) ).

cnf(s698,plain,
    ( ~ spl0_9
    | ~ spl0_114
    | spl0_64 ),
    inference(rat,[],[s533,s109,s144,s145,s49,s509,s530,s694,s628]) ).

cnf(s699,plain,
    spl0_14,
    inference(rat,[],[s589,s94,s95,s96,s47,s632,s266,s675,s4,s10,s491,s345,s397,s591,s3,s698,s66,s116,s11,s697,s72,s73,s74,s85,s86,s26,s58,s5,s681,s628,s688,s693,s687]) ).

cnf(s701,plain,
    ( spl0_12
    | spl0_5 ),
    inference(rat,[],[s543,s493,s87,s88,s130,s2,s162,s642,s672,s41,s4,s628,s694,s699,s688]) ).

cnf(s702,plain,
    ~ spl0_10,
    inference(rat,[],[s610,s528,s83,s84,s128,s167,s636,s15,s685,s632,s50,s684,s701,s697,s678,s628,s677]) ).

cnf(s703,plain,
    spl0_12,
    inference(rat,[],[s327,s316,s102,s103,s139,s701,s41,s699,s628,s694]) ).

cnf(s704,plain,
    ~ spl0_56,
    inference(rat,[],[s684,s703]) ).

cnf(s705,plain,
    spl0_30,
    inference(rat,[],[s50,s628,s704]) ).

cnf(s706,plain,
    ~ spl0_33,
    inference(rat,[],[s632,s705]) ).

cnf(s707,plain,
    spl0_32,
    inference(rat,[],[s15,s677,s628,s706]) ).

cnf(s708,plain,
    spl0_26,
    inference(rat,[],[s168,s704,s706]) ).

cnf(s710,plain,
    spl0_114,
    inference(rat,[],[s116,s708]) ).

cnf(s712,plain,
    ~ spl0_64,
    inference(rat,[],[s66,s708]) ).

cnf(s714,plain,
    ~ spl0_9,
    inference(rat,[],[s698,s712,s710]) ).

cnf(s719,plain,
    spl0_8,
    inference(rat,[],[s3,s702,s628,s714]) ).

cnf(s721,plain,
    ( spl0_97
    | spl0_98 ),
    inference(rat,[],[s445,s554,s699,s707]) ).

cnf(s722,plain,
    ~ spl0_35,
    inference(rat,[],[s721,s99,s100]) ).

cnf(s723,plain,
    spl0_22,
    inference(rat,[],[s39,s714,s628,s722]) ).

cnf(s725,plain,
    ~ spl0_84,
    inference(rat,[],[s86,s723]) ).

cnf(s726,plain,
    ~ spl0_83,
    inference(rat,[],[s85,s723]) ).

cnf(s728,plain,
    spl0_179,
    inference(rat,[],[s591,s719,s725,s726]) ).

cnf(s729,plain,
    ~ spl0_25,
    inference(rat,[],[s345,s726,s725,s728]) ).

cnf(s731,plain,
    spl0_24,
    inference(rat,[],[s10,s693,s628,s729]) ).

cnf(s735,plain,
    ~ spl0_29,
    inference(rat,[],[s675,s731]) ).

cnf(s736,plain,
    spl0_38,
    inference(rat,[],[s47,s706,s628,s735]) ).

cnf(s737,plain,
    ~ spl0_94,
    inference(rat,[],[s96,s736]) ).

cnf(s738,plain,
    ~ spl0_93,
    inference(rat,[],[s95,s736]) ).

cnf(s739,plain,
    ~ spl0_92,
    inference(rat,[],[s94,s736]) ).

cnf(s740,plain,
    $false,
    inference(rat,[],[s589,s737,s719,s738,s739]) ).

fof(f2063,plain,
    $false,
    inference(avatar_sat_refutation,[],[s740]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SYN487-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.10  % Computer : n012.cluster.edu
% 0.00/0.10  % Model    : x86_64 x86_64
% 0.00/0.10  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10  % Memory   : 8046.5625MB
% 0.00/0.10  % OS       : Linux 6.8.0-71-generic
% 0.00/0.10  % CPULimit : 300
% 0.00/0.10  % WCLimit  : 300
% 0.00/0.10  % DateTime : Mon Sep 28 16:15:34 UTC 2026
% 0.00/0.10  % CPUTime  : 
% 0.00/0.10  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.12  Running first-order theorem proving
% 0.08/0.12  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.68/0.59  % (3490945)Input is clausal, will run a generic CNF schedule.
% 1.68/0.59  % (3490954)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3731036550:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.68/0.59  % (3490953)lrs+10_1_sil=8000:sp=occurrence:random_seed=285807543:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.68/0.59  % (3490956)dis-21_1_sil=8000:lcm=predicate:random_seed=1439656238:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 1.68/0.59  % (3490955)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3568917591:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.68/0.59  % (3490952)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3197043805:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.68/0.59  % (3490950)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1356168697:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.68/0.59  % (3490951)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=88712885:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.68/0.59  % (3490956)First to succeed.
% 1.68/0.59  % (3490956)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3490945"
% 1.68/0.59  % (3490954)Also succeeded, but the first one will report.
% 1.68/0.59  % (3490953)Also succeeded, but the first one will report.
% 1.68/0.59  % (3490955)Also succeeded, but the first one will report.
% 1.68/0.59  % (3490956)Refutation found. Thanks to Tanya!
% 1.68/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.68/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 2.14/0.69  % (3490956)------------------------------
% 2.14/0.69  % (3490956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.14/0.69  % (3490956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.69  % (3490956)CaDiCaL version: 2.1.3
% 2.14/0.69  % (3490956)Termination reason: Refutation
% 2.14/0.69  % (3490956)Time elapsed: 0.017 s
% 2.14/0.69  % (3490956)Peak memory usage: 90 MB
% 2.14/0.69  % (3490956)Instructions burned: 50 (million)
% 2.14/0.69  % (3490956)------------------------------
% 2.14/0.69  % (3490956)------------------------------
% 2.14/0.69  % (3490945)Success in time 0.278 s
% 2.14/0.69  % Vampire exiting
%------------------------------------------------------------------------------