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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN470-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:53:44 PM UTC 2026

% Result   : Unsatisfiable 1.88s 0.78s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :  304
% Syntax   : Number of formulae    : 1035 (  24 unt; 165 def)
%            Number of atoms       : 3246 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3965 (1754   ~;2046   |;   0   &)
%                                         ( 165 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  201 ( 200 usr; 197 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  169 (   0 sgn 169   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,negated_conjecture,
    ( ~ hskp28
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

fof(f19,negated_conjecture,
    ( ~ hskp13
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).

fof(f22,negated_conjecture,
    ( ~ hskp10
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).

fof(f33,negated_conjecture,
    ( hskp15
    | hskp13
    | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

fof(f34,negated_conjecture,
    ( hskp28
    | hskp13
    | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f36,negated_conjecture,
    ( hskp13
    | hskp6
    | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f38,negated_conjecture,
    ( hskp11
    | hskp17
    | hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ( hskp4
    | hskp8
    | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ( ~ hskp31
    | c0_1(a522) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ( ~ hskp31
    | c1_1(a522) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( ~ hskp31
    | c2_1(a522) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( ~ hskp30
    | c1_1(a512) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp30
    | c2_1(a512) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp30
    | c3_1(a512) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp29
    | c0_1(a504) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp29
    | c1_1(a504) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp29
    | c3_1(a504) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp28
    | c0_1(a500) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( ~ hskp28
    | c2_1(a500) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp28
    | c3_1(a500) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp27
    | c0_1(a568) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( ~ hskp27
    | c3_1(a568) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f55,negated_conjecture,
    ( ~ hskp24
    | c0_1(a554) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( ~ hskp23
    | c0_1(a541) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( ~ hskp23
    | c1_1(a541) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( ~ hskp22
    | c1_1(a540) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp22
    | c3_1(a540) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp21
    | c0_1(a538) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp19
    | c1_1(a534) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp18
    | c1_1(a533) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp18
    | c2_1(a533) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp17
    | c3_1(a532) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f67,negated_conjecture,
    ( ~ hskp15
    | c0_1(a528) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp15
    | c1_1(a528) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp14
    | c2_1(a527) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp13
    | c0_1(a520) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp13
    | c2_1(a520) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp12
    | c1_1(a514) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp12
    | c3_1(a514) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp11
    | c0_1(a510) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp10
    | c0_1(a509) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp10
    | c3_1(a509) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp9
    | c3_1(a507) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp8
    | c2_1(a505) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp8
    | c3_1(a505) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp6
    | c1_1(a501) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp6
    | c2_1(a501) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp5
    | c0_1(a499) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ hskp5
    | c2_1(a499) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ hskp4
    | c1_1(a498) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ hskp3
    | c2_1(a497) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( ~ hskp1
    | c1_1(a495) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ hskp0
    | c3_1(a494) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ c1_1(a568)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ c0_1(a559)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ c2_1(a559)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( ~ c3_1(a559)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f94,negated_conjecture,
    ( ~ c2_1(a554)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ c3_1(a554)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ c2_1(a541)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ c0_1(a540)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ c1_1(a538)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c3_1(a538)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c0_1(a536)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ c1_1(a536)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ c2_1(a536)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ c2_1(a534)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ c3_1(a534)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ c0_1(a533)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c1_1(a532)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c2_1(a532)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f109,negated_conjecture,
    ( ~ c3_1(a528)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c1_1(a527)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ c3_1(a527)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ c3_1(a520)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ c2_1(a514)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c1_1(a510)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c2_1(a510)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c2_1(a509)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c0_1(a507)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c1_1(a507)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ c0_1(a505)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ c0_1(a502)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c1_1(a502)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c3_1(a502)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ c3_1(a501)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ c1_1(a499)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ c0_1(a498)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ c2_1(a498)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ c0_1(a497)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ c1_1(a497)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ c1_1(a496)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ c2_1(a496)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ( ~ c3_1(a496)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( ~ c0_1(a495)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f133,negated_conjecture,
    ( ~ c3_1(a495)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ( ~ c0_1(a494)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f135,negated_conjecture,
    ( ~ c2_1(a494)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f136,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp10
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp18
      | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f144,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp13
      | hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp31
      | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp31
      | hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

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

fof(f152,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp5
      | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f156,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp12
      | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f158,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp27
      | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f159,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp22
      | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f160,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f161,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f162,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

fof(f163,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f165,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f166,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f168,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f171,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f172,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f175,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f177,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

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

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

fof(f180,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f184,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c2_1(X0)
      | c2_1(X1)
      | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f185,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f186,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f187,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c2_1(X1)
      | hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

fof(f188,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c3_1(X1)
      | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

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

fof(f191,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).

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

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

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

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

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

fof(f198,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f199,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f198]) ).

fof(f201,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f202,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f201]) ).

fof(f204,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f207,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f208,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f207]) ).

fof(f209,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f196,f207,f204,f201,f198]) ).

fof(f211,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f212,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f214,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f215,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f217,definition,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f218,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f219,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f195,f217,f204,f214,f211]) ).

fof(f221,definition,
    ( spl0_8
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f222,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | c2_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f224,definition,
    ( spl0_9
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f225,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f226,plain,
    ( spl0_8
    | spl0_6
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f194,f224,f204,f214,f221]) ).

fof(f228,definition,
    ( spl0_10
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f229,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f231,definition,
    ( spl0_11
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f232,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f233,plain,
    ( spl0_10
    | spl0_11
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f193,f207,f204,f231,f228]) ).

fof(f235,definition,
    ( spl0_12
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f236,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f237,plain,
    ( spl0_8
    | spl0_12
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f192,f207,f204,f235,f221]) ).

fof(f239,definition,
    ( spl0_13
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f240,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f241,plain,
    ( spl0_13
    | spl0_5
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f191,f217,f204,f211,f239]) ).

fof(f243,definition,
    ( spl0_14
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f244,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f246,definition,
    ( spl0_15
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f247,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f248,plain,
    ( spl0_14
    | spl0_8
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f190,f246,f204,f221,f243]) ).

fof(f250,definition,
    ( spl0_16
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f253,definition,
    ( spl0_17
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f254,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f257,definition,
    ( spl0_18
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f259,plain,
    ( spl0_18
    | spl0_4
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f188,f253,f204,f207,f257]) ).

fof(f261,definition,
    ( spl0_19
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f263,plain,
    ( spl0_19
    | spl0_12
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f187,f224,f204,f235,f261]) ).

fof(f265,definition,
    ( spl0_20
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f268,definition,
    ( spl0_21
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f269,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f270,plain,
    ( spl0_20
    | spl0_7
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f186,f268,f204,f217,f265]) ).

fof(f272,definition,
    ( spl0_22
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f275,definition,
    ( spl0_23
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f276,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f277,plain,
    ( spl0_22
    | spl0_23
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f185,f268,f204,f275,f272]) ).

fof(f278,plain,
    ( spl0_18
    | spl0_12
    | ~ spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f184,f275,f204,f235,f257]) ).

fof(f280,definition,
    ( spl0_24
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f283,definition,
    ( spl0_25
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f284,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f283]) ).

fof(f287,definition,
    ( spl0_26
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f289,plain,
    ( spl0_26
    | spl0_2
    | ~ spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f182,f283,f204,f201,f287]) ).

fof(f291,definition,
    ( spl0_27
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f294,definition,
    ( spl0_28
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f295,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f297,definition,
    ( spl0_29
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f298,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f299,plain,
    ( spl0_27
    | spl0_28
    | ~ spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f181,f297,f204,f294,f291]) ).

fof(f301,definition,
    ( spl0_30
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f304,definition,
    ( spl0_31
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f305,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f306,plain,
    ( spl0_30
    | spl0_31
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f180,f235,f204,f304,f301]) ).

fof(f308,definition,
    ( spl0_32
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f311,definition,
    ( spl0_33
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f312,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f313,plain,
    ( spl0_32
    | spl0_33
    | ~ spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f179,f297,f204,f311,f308]) ).

fof(f315,definition,
    ( spl0_34
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f318,definition,
    ( spl0_35
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f319,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f320,plain,
    ( spl0_34
    | spl0_35
    | ~ spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f178,f297,f204,f318,f315]) ).

fof(f322,definition,
    ( spl0_36
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f325,definition,
    ( spl0_37
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f326,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f327,plain,
    ( spl0_36
    | spl0_37
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f177,f207,f204,f325,f322]) ).

fof(f329,definition,
    ( spl0_38
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f331,plain,
    ( spl0_38
    | spl0_28
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f176,f246,f204,f294,f329]) ).

fof(f333,definition,
    ( spl0_39
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f335,plain,
    ( spl0_39
    | spl0_28
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f175,f207,f204,f294,f333]) ).

fof(f337,definition,
    ( spl0_40
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f338,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f339,plain,
    ( spl0_24
    | spl0_28
    | ~ spl0_3
    | spl0_40 ),
    inference(avatar_split_clause,[],[f174,f337,f204,f294,f280]) ).

fof(f341,definition,
    ( spl0_41
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f345,definition,
    ( spl0_42
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f347,plain,
    ( spl0_42
    | spl0_1
    | ~ spl0_3
    | spl0_28 ),
    inference(avatar_split_clause,[],[f172,f294,f204,f198,f345]) ).

fof(f349,definition,
    ( spl0_43
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f351,plain,
    ( spl0_43
    | spl0_11
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f171,f201,f204,f231,f349]) ).

fof(f354,definition,
    ( spl0_44
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f356,plain,
    ( spl0_44
    | spl0_13
    | ~ spl0_3
    | spl0_40 ),
    inference(avatar_split_clause,[],[f169,f337,f204,f239,f354]) ).

fof(f358,definition,
    ( spl0_45
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f360,plain,
    ( spl0_45
    | spl0_35
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f168,f268,f204,f318,f358]) ).

fof(f362,plain,
    ( spl0_18
    | spl0_14
    | ~ spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f166,f297,f204,f243,f257]) ).

fof(f364,definition,
    ( spl0_46
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f367,definition,
    ( spl0_47
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f368,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f369,plain,
    ( spl0_46
    | spl0_37
    | ~ spl0_3
    | spl0_47 ),
    inference(avatar_split_clause,[],[f165,f367,f204,f325,f364]) ).

fof(f374,plain,
    ( spl0_39
    | spl0_5
    | ~ spl0_3
    | spl0_28 ),
    inference(avatar_split_clause,[],[f163,f294,f204,f211,f333]) ).

fof(f376,definition,
    ( spl0_49
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f378,plain,
    ( spl0_49
    | spl0_8
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f162,f235,f204,f221,f376]) ).

fof(f380,definition,
    ( spl0_50
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f382,plain,
    ( spl0_50
    | spl0_14
    | ~ spl0_3
    | spl0_37 ),
    inference(avatar_split_clause,[],[f161,f325,f204,f243,f380]) ).

fof(f384,definition,
    ( spl0_51
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f385,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f387,definition,
    ( spl0_52
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f388,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f389,plain,
    ( spl0_16
    | spl0_51
    | ~ spl0_3
    | spl0_52 ),
    inference(avatar_split_clause,[],[f160,f387,f204,f384,f250]) ).

fof(f390,plain,
    ( spl0_20
    | spl0_46
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f159,f224,f204,f364,f265]) ).

fof(f392,definition,
    ( spl0_53
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f395,definition,
    ( spl0_54
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f397,plain,
    ( spl0_53
    | spl0_54
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f158,f224,f204,f395,f392]) ).

fof(f399,definition,
    ( spl0_55
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f403,definition,
    ( spl0_56
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f405,plain,
    ( spl0_43
    | spl0_56
    | ~ spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f156,f297,f204,f403,f349]) ).

fof(f414,definition,
    ( spl0_59
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f418,plain,
    ( spl0_45
    | spl0_34
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f152,f235,f204,f315,f358]) ).

fof(f419,plain,
    ( spl0_20
    | spl0_45
    | ~ spl0_3
    | spl0_31 ),
    inference(avatar_split_clause,[],[f151,f304,f204,f358,f265]) ).

fof(f423,definition,
    ( spl0_60
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f425,plain,
    ( spl0_60
    | spl0_19
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f148,f214,f204,f261,f423]) ).

fof(f428,plain,
    ( spl0_45
    | spl0_19
    | ~ spl0_3
    | spl0_37 ),
    inference(avatar_split_clause,[],[f145,f325,f204,f261,f358]) ).

fof(f429,plain,
    ( spl0_60
    | spl0_55
    | ~ spl0_3
    | spl0_33 ),
    inference(avatar_split_clause,[],[f144,f311,f204,f399,f423]) ).

fof(f437,definition,
    ( spl0_61
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f440,definition,
    ( spl0_62
  <=> ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f441,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f442,plain,
    ( spl0_53
    | spl0_61
    | spl0_62
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f137,f204,f440,f437,f392]) ).

fof(f444,definition,
    ( spl0_63
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f446,plain,
    ( spl0_63
    | spl0_42
    | spl0_8
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f136,f204,f221,f345,f444]) ).

fof(f449,definition,
    ( spl0_64
  <=> c2_1(a494) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f451,plain,
    ( ~ spl0_16
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f135,f449,f250]) ).

fof(f453,definition,
    ( spl0_65
  <=> c0_1(a494) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f455,plain,
    ( ~ spl0_16
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f134,f453,f250]) ).

fof(f458,definition,
    ( spl0_66
  <=> c3_1(a495) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f459,plain,
    ( ~ c3_1(a495)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f460,plain,
    ( ~ spl0_50
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f133,f458,f380]) ).

fof(f462,definition,
    ( spl0_67
  <=> c0_1(a495) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f464,plain,
    ( ~ spl0_50
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f132,f462,f380]) ).

fof(f467,definition,
    ( spl0_68
  <=> c3_1(a496) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f468,plain,
    ( ~ c3_1(a496)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f469,plain,
    ( ~ spl0_18
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f131,f467,f257]) ).

fof(f471,definition,
    ( spl0_69
  <=> c2_1(a496) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f472,plain,
    ( ~ c2_1(a496)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f473,plain,
    ( ~ spl0_18
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f130,f471,f257]) ).

fof(f475,definition,
    ( spl0_70
  <=> c1_1(a496) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f477,plain,
    ( ~ spl0_18
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f129,f475,f257]) ).

fof(f480,definition,
    ( spl0_71
  <=> c1_1(a497) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f482,plain,
    ( ~ spl0_27
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f128,f480,f291]) ).

fof(f484,definition,
    ( spl0_72
  <=> c0_1(a497) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f486,plain,
    ( ~ spl0_27
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f127,f484,f291]) ).

fof(f489,definition,
    ( spl0_73
  <=> c2_1(a498) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f490,plain,
    ( ~ c2_1(a498)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f491,plain,
    ( ~ spl0_45
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f126,f489,f358]) ).

fof(f493,definition,
    ( spl0_74
  <=> c0_1(a498) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f495,plain,
    ( ~ spl0_45
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f125,f493,f358]) ).

fof(f498,definition,
    ( spl0_75
  <=> c1_1(a499) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f500,plain,
    ( ~ spl0_34
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f124,f498,f315]) ).

fof(f503,definition,
    ( spl0_76
  <=> c3_1(a501) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f504,plain,
    ( ~ c3_1(a501)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f505,plain,
    ( ~ spl0_49
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f123,f503,f376]) ).

fof(f508,definition,
    ( spl0_77
  <=> c3_1(a502) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f509,plain,
    ( ~ c3_1(a502)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f510,plain,
    ( ~ spl0_44
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f122,f508,f354]) ).

fof(f512,definition,
    ( spl0_78
  <=> c1_1(a502) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f514,plain,
    ( ~ spl0_44
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f121,f512,f354]) ).

fof(f516,definition,
    ( spl0_79
  <=> c0_1(a502) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f518,plain,
    ( ~ spl0_44
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f120,f516,f354]) ).

fof(f521,definition,
    ( spl0_80
  <=> c0_1(a505) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f523,plain,
    ( ~ spl0_43
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f119,f521,f349]) ).

fof(f526,definition,
    ( spl0_81
  <=> c1_1(a507) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f528,plain,
    ( ~ spl0_39
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f118,f526,f333]) ).

fof(f530,definition,
    ( spl0_82
  <=> c0_1(a507) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f532,plain,
    ( ~ spl0_39
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f117,f530,f333]) ).

fof(f535,definition,
    ( spl0_83
  <=> c2_1(a509) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f536,plain,
    ( ~ c2_1(a509)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f537,plain,
    ( ~ spl0_42
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f116,f535,f345]) ).

fof(f540,definition,
    ( spl0_84
  <=> c2_1(a510) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f541,plain,
    ( ~ c2_1(a510)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f542,plain,
    ( ~ spl0_63
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f115,f540,f444]) ).

fof(f544,definition,
    ( spl0_85
  <=> c1_1(a510) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f546,plain,
    ( ~ spl0_63
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f114,f544,f444]) ).

fof(f549,definition,
    ( spl0_86
  <=> c2_1(a514) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f550,plain,
    ( ~ c2_1(a514)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f551,plain,
    ( ~ spl0_56
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f113,f549,f403]) ).

fof(f554,definition,
    ( spl0_87
  <=> c3_1(a520) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f555,plain,
    ( ~ c3_1(a520)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f556,plain,
    ( ~ spl0_55
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f112,f554,f399]) ).

fof(f559,definition,
    ( spl0_88
  <=> c3_1(a527) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f560,plain,
    ( ~ c3_1(a527)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f561,plain,
    ( ~ spl0_41
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f111,f559,f341]) ).

fof(f563,definition,
    ( spl0_89
  <=> c1_1(a527) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f565,plain,
    ( ~ spl0_41
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f110,f563,f341]) ).

fof(f568,definition,
    ( spl0_90
  <=> c3_1(a528) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f569,plain,
    ( ~ c3_1(a528)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f570,plain,
    ( ~ spl0_30
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f109,f568,f301]) ).

fof(f578,definition,
    ( spl0_92
  <=> c2_1(a532) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f579,plain,
    ( ~ c2_1(a532)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f580,plain,
    ( ~ spl0_20
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f107,f578,f265]) ).

fof(f582,definition,
    ( spl0_93
  <=> c1_1(a532) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f584,plain,
    ( ~ spl0_20
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f106,f582,f265]) ).

fof(f587,definition,
    ( spl0_94
  <=> c0_1(a533) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f589,plain,
    ( ~ spl0_61
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f105,f587,f437]) ).

fof(f592,definition,
    ( spl0_95
  <=> c3_1(a534) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f593,plain,
    ( ~ c3_1(a534)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f594,plain,
    ( ~ spl0_53
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f104,f592,f392]) ).

fof(f596,definition,
    ( spl0_96
  <=> c2_1(a534) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f597,plain,
    ( ~ c2_1(a534)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f598,plain,
    ( ~ spl0_53
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f103,f596,f392]) ).

fof(f601,definition,
    ( spl0_97
  <=> c2_1(a536) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f602,plain,
    ( ~ c2_1(a536)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f603,plain,
    ( ~ spl0_24
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f102,f601,f280]) ).

fof(f605,definition,
    ( spl0_98
  <=> c1_1(a536) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f607,plain,
    ( ~ spl0_24
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f101,f605,f280]) ).

fof(f609,definition,
    ( spl0_99
  <=> c0_1(a536) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f611,plain,
    ( ~ spl0_24
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f100,f609,f280]) ).

fof(f614,definition,
    ( spl0_100
  <=> c3_1(a538) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f615,plain,
    ( ~ c3_1(a538)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f614]) ).

fof(f616,plain,
    ( ~ spl0_38
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f99,f614,f329]) ).

fof(f618,definition,
    ( spl0_101
  <=> c1_1(a538) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f620,plain,
    ( ~ spl0_38
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f98,f618,f329]) ).

fof(f623,definition,
    ( spl0_102
  <=> c0_1(a540) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f625,plain,
    ( ~ spl0_46
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f97,f623,f364]) ).

fof(f628,definition,
    ( spl0_103
  <=> c2_1(a541) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f629,plain,
    ( ~ c2_1(a541)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f630,plain,
    ( ~ spl0_36
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f96,f628,f322]) ).

fof(f633,definition,
    ( spl0_104
  <=> c3_1(a554) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f634,plain,
    ( ~ c3_1(a554)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f633]) ).

fof(f635,plain,
    ( ~ spl0_22
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f95,f633,f272]) ).

fof(f637,definition,
    ( spl0_105
  <=> c2_1(a554) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f639,plain,
    ( ~ spl0_22
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f94,f637,f272]) ).

fof(f651,definition,
    ( spl0_108
  <=> c3_1(a559) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f652,plain,
    ( ~ c3_1(a559)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f653,plain,
    ( ~ spl0_59
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f91,f651,f414]) ).

fof(f655,definition,
    ( spl0_109
  <=> c2_1(a559) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f657,plain,
    ( ~ spl0_59
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f90,f655,f414]) ).

fof(f659,definition,
    ( spl0_110
  <=> c0_1(a559) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f661,plain,
    ( ~ spl0_59
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f89,f659,f414]) ).

fof(f664,definition,
    ( spl0_111
  <=> c1_1(a568) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f666,plain,
    ( ~ spl0_54
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f88,f664,f395]) ).

fof(f668,definition,
    ( spl0_112
  <=> c3_1(a494) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f669,plain,
    ( c3_1(a494)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f670,plain,
    ( spl0_112
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f87,f250,f668]) ).

fof(f672,definition,
    ( spl0_113
  <=> c1_1(a495) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f674,plain,
    ( spl0_113
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f86,f380,f672]) ).

fof(f676,definition,
    ( spl0_114
  <=> c2_1(a497) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f677,plain,
    ( c2_1(a497)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f678,plain,
    ( spl0_114
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f85,f291,f676]) ).

fof(f680,definition,
    ( spl0_115
  <=> c1_1(a498) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f682,plain,
    ( spl0_115
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f84,f358,f680]) ).

fof(f684,definition,
    ( spl0_116
  <=> c2_1(a499) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f685,plain,
    ( c2_1(a499)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f686,plain,
    ( spl0_116
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f83,f315,f684]) ).

fof(f688,definition,
    ( spl0_117
  <=> c0_1(a499) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f690,plain,
    ( spl0_117
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f82,f315,f688]) ).

fof(f692,definition,
    ( spl0_118
  <=> c2_1(a501) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f693,plain,
    ( c2_1(a501)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f692]) ).

fof(f694,plain,
    ( spl0_118
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f81,f376,f692]) ).

fof(f696,definition,
    ( spl0_119
  <=> c1_1(a501) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f697,plain,
    ( c1_1(a501)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f698,plain,
    ( spl0_119
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f80,f376,f696]) ).

fof(f700,definition,
    ( spl0_120
  <=> c3_1(a505) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f701,plain,
    ( c3_1(a505)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f702,plain,
    ( spl0_120
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f79,f349,f700]) ).

fof(f704,definition,
    ( spl0_121
  <=> c2_1(a505) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f705,plain,
    ( c2_1(a505)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f706,plain,
    ( spl0_121
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f78,f349,f704]) ).

fof(f708,definition,
    ( spl0_122
  <=> c3_1(a507) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f709,plain,
    ( c3_1(a507)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f710,plain,
    ( spl0_122
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f77,f333,f708]) ).

fof(f712,definition,
    ( spl0_123
  <=> c3_1(a509) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f713,plain,
    ( c3_1(a509)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f712]) ).

fof(f714,plain,
    ( spl0_123
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f76,f345,f712]) ).

fof(f716,definition,
    ( spl0_124
  <=> c0_1(a509) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f718,plain,
    ( spl0_124
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f75,f345,f716]) ).

fof(f720,definition,
    ( spl0_125
  <=> c0_1(a510) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f722,plain,
    ( spl0_125
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f74,f444,f720]) ).

fof(f724,definition,
    ( spl0_126
  <=> c3_1(a514) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f725,plain,
    ( c3_1(a514)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f726,plain,
    ( spl0_126
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f73,f403,f724]) ).

fof(f728,definition,
    ( spl0_127
  <=> c1_1(a514) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f729,plain,
    ( c1_1(a514)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f728]) ).

fof(f730,plain,
    ( spl0_127
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f72,f403,f728]) ).

fof(f732,definition,
    ( spl0_128
  <=> c2_1(a520) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f733,plain,
    ( c2_1(a520)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f734,plain,
    ( spl0_128
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f71,f399,f732]) ).

fof(f736,definition,
    ( spl0_129
  <=> c0_1(a520) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f738,plain,
    ( spl0_129
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f70,f399,f736]) ).

fof(f740,definition,
    ( spl0_130
  <=> c2_1(a527) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f741,plain,
    ( c2_1(a527)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f742,plain,
    ( spl0_130
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f69,f341,f740]) ).

fof(f744,definition,
    ( spl0_131
  <=> c1_1(a528) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f746,plain,
    ( spl0_131
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f68,f301,f744]) ).

fof(f748,definition,
    ( spl0_132
  <=> c0_1(a528) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f750,plain,
    ( spl0_132
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f67,f301,f748]) ).

fof(f760,definition,
    ( spl0_135
  <=> c3_1(a532) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f761,plain,
    ( c3_1(a532)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f762,plain,
    ( spl0_135
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f64,f265,f760]) ).

fof(f764,definition,
    ( spl0_136
  <=> c2_1(a533) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f765,plain,
    ( c2_1(a533)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f766,plain,
    ( spl0_136
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f63,f437,f764]) ).

fof(f768,definition,
    ( spl0_137
  <=> c1_1(a533) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f770,plain,
    ( spl0_137
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f62,f437,f768]) ).

fof(f772,definition,
    ( spl0_138
  <=> c1_1(a534) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f774,plain,
    ( spl0_138
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f61,f392,f772]) ).

fof(f776,definition,
    ( spl0_139
  <=> c0_1(a538) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f778,plain,
    ( spl0_139
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f60,f329,f776]) ).

fof(f780,definition,
    ( spl0_140
  <=> c3_1(a540) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f781,plain,
    ( c3_1(a540)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f782,plain,
    ( spl0_140
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f59,f364,f780]) ).

fof(f784,definition,
    ( spl0_141
  <=> c1_1(a540) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f786,plain,
    ( spl0_141
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f58,f364,f784]) ).

fof(f788,definition,
    ( spl0_142
  <=> c1_1(a541) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f790,plain,
    ( spl0_142
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f57,f322,f788]) ).

fof(f792,definition,
    ( spl0_143
  <=> c0_1(a541) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f794,plain,
    ( spl0_143
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f56,f322,f792]) ).

fof(f796,definition,
    ( spl0_144
  <=> c0_1(a554) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f798,plain,
    ( spl0_144
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f55,f272,f796]) ).

fof(f804,definition,
    ( spl0_146
  <=> c3_1(a568) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f805,plain,
    ( c3_1(a568)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f806,plain,
    ( spl0_146
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f53,f395,f804]) ).

fof(f808,definition,
    ( spl0_147
  <=> c0_1(a568) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f810,plain,
    ( spl0_147
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f52,f395,f808]) ).

fof(f812,definition,
    ( spl0_148
  <=> c3_1(a500) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f813,plain,
    ( c3_1(a500)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f815,plain,
    ( spl0_148
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f51,f308,f812]) ).

fof(f817,definition,
    ( spl0_149
  <=> c2_1(a500) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f819,plain,
    ( spl0_149
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f50,f308,f817]) ).

fof(f821,definition,
    ( spl0_150
  <=> c0_1(a500) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f823,plain,
    ( spl0_150
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f49,f308,f821]) ).

fof(f825,definition,
    ( spl0_151
  <=> c3_1(a504) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f826,plain,
    ( c3_1(a504)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f825]) ).

fof(f828,plain,
    ( spl0_151
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f48,f287,f825]) ).

fof(f830,definition,
    ( spl0_152
  <=> c1_1(a504) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f832,plain,
    ( spl0_152
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f47,f287,f830]) ).

fof(f834,definition,
    ( spl0_153
  <=> c0_1(a504) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f836,plain,
    ( spl0_153
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f46,f287,f834]) ).

fof(f838,definition,
    ( spl0_154
  <=> c3_1(a512) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f839,plain,
    ( c3_1(a512)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f841,plain,
    ( spl0_154
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f45,f423,f838]) ).

fof(f843,definition,
    ( spl0_155
  <=> c2_1(a512) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f844,plain,
    ( c2_1(a512)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f845,plain,
    ( spl0_155
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f44,f423,f843]) ).

fof(f847,definition,
    ( spl0_156
  <=> c1_1(a512) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f849,plain,
    ( spl0_156
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f43,f423,f847]) ).

fof(f851,definition,
    ( spl0_157
  <=> c2_1(a522) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f852,plain,
    ( c2_1(a522)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f854,plain,
    ( spl0_157
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f42,f261,f851]) ).

fof(f856,definition,
    ( spl0_158
  <=> c1_1(a522) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f858,plain,
    ( spl0_158
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f41,f261,f856]) ).

fof(f860,definition,
    ( spl0_159
  <=> c0_1(a522) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f862,plain,
    ( spl0_159
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f40,f261,f860]) ).

fof(f863,plain,
    ( spl0_18
    | spl0_43
    | spl0_45 ),
    inference(avatar_split_clause,[],[f39,f358,f349,f257]) ).

fof(f864,plain,
    ( spl0_59
    | spl0_20
    | spl0_63 ),
    inference(avatar_split_clause,[],[f38,f444,f265,f414]) ).

fof(f866,plain,
    ( spl0_41
    | spl0_49
    | spl0_55 ),
    inference(avatar_split_clause,[],[f36,f399,f376,f341]) ).

fof(f868,plain,
    ( spl0_42
    | spl0_55
    | spl0_32 ),
    inference(avatar_split_clause,[],[f34,f308,f399,f345]) ).

fof(f869,plain,
    ( spl0_56
    | spl0_55
    | spl0_30 ),
    inference(avatar_split_clause,[],[f33,f301,f399,f403]) ).

fof(f881,plain,
    ( spl0_3
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f22,f345,f204]) ).

fof(f884,plain,
    ( spl0_3
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f19,f399,f204]) ).

fof(f899,plain,
    ( spl0_3
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f4,f308,f204]) ).

fof(f907,definition,
    ( spl0_160
  <=> c1_1(a509) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f910,plain,
    ( ~ c0_1(a501)
    | ~ c1_1(a501)
    | ~ spl0_4
    | spl0_76 ),
    inference(resolution,[],[f208,f504]) ).

fof(f915,definition,
    ( spl0_161
  <=> c0_1(a501) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f917,plain,
    ( ~ spl0_119
    | ~ spl0_161
    | ~ spl0_4
    | spl0_76 ),
    inference(avatar_split_clause,[],[f910,f503,f207,f915,f696]) ).

fof(f918,plain,
    ( ~ c1_1(a514)
    | c0_1(a514)
    | ~ spl0_5
    | spl0_86 ),
    inference(resolution,[],[f212,f550]) ).

fof(f929,definition,
    ( spl0_163
  <=> c0_1(a514) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f932,plain,
    ( spl0_163
    | ~ spl0_127
    | ~ spl0_5
    | spl0_86 ),
    inference(avatar_split_clause,[],[f918,f549,f211,f728,f929]) ).

fof(f933,plain,
    ( c0_1(a501)
    | ~ c1_1(a501)
    | ~ spl0_6
    | ~ spl0_118 ),
    inference(resolution,[],[f215,f693]) ).

fof(f935,plain,
    ( ~ spl0_119
    | spl0_161
    | ~ spl0_6
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f933,f692,f214,f915,f696]) ).

fof(f936,plain,
    ( ~ c0_1(a520)
    | ~ c1_1(a520)
    | ~ spl0_4
    | spl0_87 ),
    inference(resolution,[],[f555,f208]) ).

fof(f938,definition,
    ( spl0_164
  <=> c1_1(a520) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f941,plain,
    ( ~ spl0_164
    | ~ spl0_129
    | ~ spl0_4
    | spl0_87 ),
    inference(avatar_split_clause,[],[f936,f554,f207,f736,f938]) ).

fof(f946,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(resolution,[],[f225,f208]) ).

fof(f947,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(duplicate_literal_removal,[],[f946]) ).

fof(f948,plain,
    ( spl0_29
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f947,f224,f207,f297]) ).

fof(f949,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(resolution,[],[f232,f225]) ).

fof(f954,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f949]) ).

fof(f958,plain,
    ( ~ c0_1(a514)
    | ~ c1_1(a514)
    | ~ spl0_12
    | spl0_86 ),
    inference(resolution,[],[f236,f550]) ).

fof(f959,plain,
    ( ~ c0_1(a509)
    | ~ c1_1(a509)
    | ~ spl0_12
    | spl0_83 ),
    inference(resolution,[],[f236,f536]) ).

fof(f966,plain,
    ( ~ spl0_160
    | ~ spl0_124
    | ~ spl0_12
    | spl0_83 ),
    inference(avatar_split_clause,[],[f959,f535,f235,f716,f907]) ).

fof(f968,plain,
    ( ~ spl0_127
    | ~ spl0_163
    | ~ spl0_12
    | spl0_86 ),
    inference(avatar_split_clause,[],[f958,f549,f235,f929,f728]) ).

fof(f975,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(resolution,[],[f247,f225]) ).

fof(f979,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f975]) ).

fof(f981,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(resolution,[],[f979,f236]) ).

fof(f982,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f981]) ).

fof(f985,plain,
    ( ~ c0_1(a520)
    | ~ c2_1(a520)
    | ~ spl0_21
    | spl0_87 ),
    inference(resolution,[],[f269,f555]) ).

fof(f993,definition,
    ( spl0_165
  <=> c0_1(a532) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f996,plain,
    ( c1_1(a532)
    | c0_1(a532)
    | ~ spl0_13
    | ~ spl0_135 ),
    inference(resolution,[],[f761,f240]) ).

fof(f1000,plain,
    ( spl0_165
    | spl0_93
    | ~ spl0_13
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f996,f760,f239,f582,f993]) ).

fof(f1003,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(resolution,[],[f276,f208]) ).

fof(f1007,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(duplicate_literal_removal,[],[f1003]) ).

fof(f1030,plain,
    ( ~ c0_1(a501)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_15
    | ~ spl0_119 ),
    inference(resolution,[],[f982,f697]) ).

fof(f1036,plain,
    ( ~ c0_1(a532)
    | c1_1(a532)
    | ~ spl0_28
    | spl0_92 ),
    inference(resolution,[],[f295,f579]) ).

fof(f1038,plain,
    ( ~ c0_1(a509)
    | c1_1(a509)
    | ~ spl0_28
    | spl0_83 ),
    inference(resolution,[],[f295,f536]) ).

fof(f1045,definition,
    ( spl0_167
  <=> c0_1(a496) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1048,plain,
    ( spl0_160
    | ~ spl0_124
    | ~ spl0_28
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1038,f535,f294,f716,f907]) ).

fof(f1053,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(resolution,[],[f212,f215]) ).

fof(f1061,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(duplicate_literal_removal,[],[f1053]) ).

fof(f1066,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(resolution,[],[f305,f247]) ).

fof(f1067,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(resolution,[],[f305,f232]) ).

fof(f1072,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(duplicate_literal_removal,[],[f1067]) ).

fof(f1073,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(duplicate_literal_removal,[],[f1066]) ).

fof(f1076,plain,
    ( c0_1(a514)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_127 ),
    inference(resolution,[],[f1061,f729]) ).

fof(f1077,plain,
    ( spl0_163
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1076,f728,f214,f211,f929]) ).

fof(f1083,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_13
    | ~ spl0_33 ),
    inference(resolution,[],[f312,f240]) ).

fof(f1084,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_9
    | ~ spl0_33 ),
    inference(resolution,[],[f312,f225]) ).

fof(f1089,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_9
    | ~ spl0_33 ),
    inference(duplicate_literal_removal,[],[f1084]) ).

fof(f1090,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_13
    | ~ spl0_33 ),
    inference(duplicate_literal_removal,[],[f1083]) ).

fof(f1093,plain,
    ( spl0_35
    | ~ spl0_13
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f1090,f311,f239,f318]) ).

fof(f1097,plain,
    ( spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f954,f231,f224,f214]) ).

fof(f1098,plain,
    ( spl0_6
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f1072,f304,f231,f214]) ).

fof(f1099,plain,
    ( spl0_6
    | ~ spl0_9
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f1089,f311,f224,f214]) ).

fof(f1105,definition,
    ( spl0_168
  <=> c2_1(a502) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1114,definition,
    ( spl0_169
  <=> c2_1(a528) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1115,plain,
    ( ~ c2_1(a528)
    | spl0_169 ),
    inference(avatar_component_clause,[],[f1114]) ).

fof(f1119,definition,
    ( spl0_170
  <=> c0_1(a534) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1122,plain,
    ( ~ c1_1(a534)
    | c0_1(a534)
    | ~ spl0_5
    | spl0_96 ),
    inference(resolution,[],[f597,f212]) ).

fof(f1127,plain,
    ( spl0_170
    | ~ spl0_138
    | ~ spl0_5
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1122,f596,f211,f772,f1119]) ).

fof(f1130,plain,
    ( c1_1(a507)
    | c0_1(a507)
    | ~ spl0_13
    | ~ spl0_122 ),
    inference(resolution,[],[f709,f240]) ).

fof(f1133,plain,
    ( spl0_82
    | spl0_81
    | ~ spl0_13
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1130,f708,f239,f526,f530]) ).

fof(f1142,definition,
    ( spl0_172
  <=> c2_1(a504) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1143,plain,
    ( ~ c2_1(a504)
    | spl0_172 ),
    inference(avatar_component_clause,[],[f1142]) ).

fof(f1165,plain,
    ( c0_1(a559)
    | c2_1(a559)
    | ~ spl0_8
    | spl0_108 ),
    inference(resolution,[],[f222,f652]) ).

fof(f1176,plain,
    ( spl0_109
    | spl0_110
    | ~ spl0_8
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1165,f651,f221,f659,f655]) ).

fof(f1186,plain,
    ( ~ c1_1(a504)
    | ~ c2_1(a504)
    | ~ spl0_9
    | ~ spl0_151 ),
    inference(resolution,[],[f225,f826]) ).

fof(f1192,plain,
    ( ~ c0_1(a504)
    | ~ c1_1(a504)
    | ~ spl0_12
    | spl0_172 ),
    inference(resolution,[],[f1143,f236]) ).

fof(f1195,plain,
    ( ~ c1_1(a505)
    | ~ c2_1(a505)
    | ~ spl0_9
    | ~ spl0_120 ),
    inference(resolution,[],[f701,f225]) ).

fof(f1198,plain,
    ( c0_1(a505)
    | ~ c2_1(a505)
    | ~ spl0_31
    | ~ spl0_120 ),
    inference(resolution,[],[f701,f305]) ).

fof(f1199,plain,
    ( c1_1(a505)
    | ~ c2_1(a505)
    | ~ spl0_25
    | ~ spl0_120 ),
    inference(resolution,[],[f701,f284]) ).

fof(f1202,definition,
    ( spl0_173
  <=> c1_1(a505) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1204,plain,
    ( ~ spl0_121
    | spl0_173
    | ~ spl0_25
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1199,f700,f283,f1202,f704]) ).

fof(f1206,plain,
    ( ~ spl0_121
    | spl0_80
    | ~ spl0_31
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1198,f700,f304,f521,f704]) ).

fof(f1230,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(resolution,[],[f218,f208]) ).

fof(f1232,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(duplicate_literal_removal,[],[f1230]) ).

fof(f1238,plain,
    ( c1_1(a505)
    | c0_1(a505)
    | ~ spl0_13
    | ~ spl0_120 ),
    inference(resolution,[],[f240,f701]) ).

fof(f1239,plain,
    ( spl0_80
    | spl0_173
    | ~ spl0_13
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1238,f700,f239,f1202,f521]) ).

fof(f1245,plain,
    ( ~ c1_1(a500)
    | ~ c2_1(a500)
    | ~ spl0_9
    | ~ spl0_148 ),
    inference(resolution,[],[f813,f225]) ).

fof(f1247,plain,
    ( c1_1(a500)
    | ~ c2_1(a500)
    | ~ spl0_25
    | ~ spl0_148 ),
    inference(resolution,[],[f813,f284]) ).

fof(f1252,definition,
    ( spl0_174
  <=> c1_1(a500) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1254,plain,
    ( ~ spl0_149
    | spl0_174
    | ~ spl0_25
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1247,f812,f283,f1252,f817]) ).

fof(f1257,plain,
    ( ~ spl0_149
    | ~ spl0_174
    | ~ spl0_9
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1245,f812,f224,f1252,f817]) ).

fof(f1265,definition,
    ( spl0_175
  <=> c2_1(a540) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1271,plain,
    ( c1_1(a568)
    | ~ c0_1(a568)
    | ~ spl0_2
    | ~ spl0_146 ),
    inference(resolution,[],[f805,f202]) ).

fof(f1283,plain,
    ( ~ spl0_147
    | spl0_111
    | ~ spl0_2
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1271,f804,f201,f664,f808]) ).

fof(f1285,plain,
    ( ~ spl0_121
    | ~ spl0_173
    | ~ spl0_9
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1195,f700,f224,f1202,f704]) ).

fof(f1294,definition,
    ( spl0_177
  <=> c0_1(a512) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1341,plain,
    ( c2_1(a540)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1265]) ).

fof(f1350,plain,
    ( c2_1(a514)
    | ~ c1_1(a514)
    | ~ spl0_7
    | ~ spl0_126 ),
    inference(resolution,[],[f725,f218]) ).

fof(f1355,plain,
    ( ~ spl0_127
    | spl0_86
    | ~ spl0_7
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1350,f724,f217,f549,f728]) ).

fof(f1382,plain,
    ( ~ c1_1(a512)
    | ~ c2_1(a512)
    | ~ spl0_9
    | ~ spl0_154 ),
    inference(resolution,[],[f225,f839]) ).

fof(f1383,plain,
    ( ~ c1_1(a540)
    | ~ c2_1(a540)
    | ~ spl0_9
    | ~ spl0_140 ),
    inference(resolution,[],[f225,f781]) ).

fof(f1385,plain,
    ( ~ spl0_175
    | ~ spl0_141
    | ~ spl0_9
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1383,f780,f224,f784,f1265]) ).

fof(f1386,plain,
    ( ~ spl0_155
    | ~ spl0_156
    | ~ spl0_9
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1382,f838,f224,f847,f843]) ).

fof(f1400,plain,
    ( c0_1(a502)
    | c1_1(a502)
    | ~ spl0_14
    | spl0_77 ),
    inference(resolution,[],[f244,f509]) ).

fof(f1407,plain,
    ( spl0_78
    | spl0_79
    | ~ spl0_14
    | spl0_77 ),
    inference(avatar_split_clause,[],[f1400,f508,f243,f516,f512]) ).

fof(f1412,definition,
    ( spl0_180
  <=> c0_1(a527) ),
    introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).

fof(f1424,plain,
    ( spl0_6
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f1073,f304,f246,f214]) ).

fof(f1425,plain,
    ( ~ spl0_161
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_15
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1030,f696,f246,f235,f224,f915]) ).

fof(f1429,plain,
    ( c0_1(a512)
    | ~ c1_1(a512)
    | ~ spl0_6
    | ~ spl0_155 ),
    inference(resolution,[],[f215,f844]) ).

fof(f1441,plain,
    ( ~ spl0_156
    | spl0_177
    | ~ spl0_6
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1429,f843,f214,f1294,f847]) ).

fof(f1478,plain,
    ( ~ c0_1(a496)
    | c1_1(a496)
    | ~ spl0_28
    | spl0_69 ),
    inference(resolution,[],[f295,f472]) ).

fof(f1479,plain,
    ( spl0_70
    | ~ spl0_167
    | ~ spl0_28
    | spl0_69 ),
    inference(avatar_split_clause,[],[f1478,f471,f294,f1045,f475]) ).

fof(f1557,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_17
    | ~ spl0_37 ),
    inference(resolution,[],[f326,f254]) ).

fof(f1565,plain,
    ( ~ c0_1(a520)
    | c1_1(a520)
    | ~ spl0_37
    | spl0_87 ),
    inference(resolution,[],[f326,f555]) ).

fof(f1571,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_17
    | ~ spl0_37 ),
    inference(duplicate_literal_removal,[],[f1557]) ).

fof(f1583,plain,
    ( spl0_40
    | ~ spl0_17
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f1571,f325,f253,f337]) ).

fof(f1592,plain,
    ( ~ spl0_172
    | ~ spl0_152
    | ~ spl0_9
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1186,f825,f224,f830,f1142]) ).

fof(f1596,plain,
    ( spl0_12
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f1232,f217,f207,f235]) ).

fof(f1598,plain,
    ( ~ spl0_152
    | ~ spl0_153
    | ~ spl0_12
    | spl0_172 ),
    inference(avatar_split_clause,[],[f1192,f1142,f235,f834,f830]) ).

fof(f1605,plain,
    ( spl0_12
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f1007,f275,f207,f235]) ).

fof(f1619,plain,
    ( ~ c0_1(a534)
    | ~ c1_1(a534)
    | ~ spl0_4
    | spl0_95 ),
    inference(resolution,[],[f593,f208]) ).

fof(f1620,plain,
    ( ~ spl0_138
    | ~ spl0_170
    | ~ spl0_4
    | spl0_95 ),
    inference(avatar_split_clause,[],[f1619,f592,f207,f1119,f772]) ).

fof(f1635,plain,
    ( c0_1(a505)
    | ~ c1_1(a505)
    | ~ spl0_1
    | ~ spl0_120 ),
    inference(resolution,[],[f701,f199]) ).

fof(f1639,plain,
    ( ~ spl0_173
    | spl0_80
    | ~ spl0_1
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1635,f700,f198,f521,f1202]) ).

fof(f1646,plain,
    ( c1_1(a509)
    | ~ c0_1(a509)
    | ~ spl0_2
    | ~ spl0_123 ),
    inference(resolution,[],[f713,f202]) ).

fof(f1647,plain,
    ( c2_1(a509)
    | ~ c1_1(a509)
    | ~ spl0_7
    | ~ spl0_123 ),
    inference(resolution,[],[f713,f218]) ).

fof(f1648,plain,
    ( ~ spl0_160
    | spl0_83
    | ~ spl0_7
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1647,f712,f217,f535,f907]) ).

fof(f1649,plain,
    ( ~ spl0_124
    | spl0_160
    | ~ spl0_2
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1646,f712,f201,f907,f716]) ).

fof(f1651,plain,
    ( c1_1(a532)
    | ~ c0_1(a532)
    | ~ spl0_2
    | ~ spl0_135 ),
    inference(resolution,[],[f761,f202]) ).

fof(f1653,plain,
    ( ~ spl0_165
    | spl0_93
    | ~ spl0_2
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1651,f760,f201,f582,f993]) ).

fof(f1655,plain,
    ( c1_1(a500)
    | ~ c0_1(a500)
    | ~ spl0_2
    | ~ spl0_148 ),
    inference(resolution,[],[f813,f202]) ).

fof(f1657,plain,
    ( ~ spl0_150
    | spl0_174
    | ~ spl0_2
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1655,f812,f201,f1252,f821]) ).

fof(f1658,plain,
    ( c0_1(a512)
    | ~ c1_1(a512)
    | ~ spl0_1
    | ~ spl0_154 ),
    inference(resolution,[],[f839,f199]) ).

fof(f1662,plain,
    ( ~ spl0_156
    | spl0_177
    | ~ spl0_1
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1658,f838,f198,f1294,f847]) ).

fof(f1666,plain,
    ( ~ c0_1(a534)
    | ~ c1_1(a534)
    | ~ spl0_12
    | spl0_96 ),
    inference(resolution,[],[f236,f597]) ).

fof(f1677,plain,
    ( ~ spl0_138
    | ~ spl0_170
    | ~ spl0_12
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1666,f596,f235,f1119,f772]) ).

fof(f1684,plain,
    ( c0_1(a527)
    | c1_1(a527)
    | ~ spl0_14
    | spl0_88 ),
    inference(resolution,[],[f244,f560]) ).

fof(f1688,plain,
    ( c0_1(a496)
    | c1_1(a496)
    | ~ spl0_14
    | spl0_68 ),
    inference(resolution,[],[f244,f468]) ).

fof(f1691,plain,
    ( spl0_70
    | spl0_167
    | ~ spl0_14
    | spl0_68 ),
    inference(avatar_split_clause,[],[f1688,f467,f243,f1045,f475]) ).

fof(f1693,plain,
    ( spl0_89
    | spl0_180
    | ~ spl0_14
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1684,f559,f243,f1412,f563]) ).

fof(f1699,plain,
    ( c2_1(a509)
    | ~ c0_1(a509)
    | ~ spl0_23
    | ~ spl0_123 ),
    inference(resolution,[],[f276,f713]) ).

fof(f1704,plain,
    ( ~ spl0_124
    | spl0_83
    | ~ spl0_23
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1699,f712,f275,f535,f716]) ).

fof(f1712,plain,
    ( c1_1(a520)
    | ~ c0_1(a520)
    | ~ spl0_40
    | ~ spl0_128 ),
    inference(resolution,[],[f338,f733]) ).

fof(f1714,plain,
    ( c1_1(a499)
    | ~ c0_1(a499)
    | ~ spl0_40
    | ~ spl0_116 ),
    inference(resolution,[],[f338,f685]) ).

fof(f1719,plain,
    ( ~ spl0_117
    | spl0_75
    | ~ spl0_40
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1714,f684,f337,f498,f688]) ).

fof(f1720,plain,
    ( ~ spl0_129
    | spl0_164
    | ~ spl0_40
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1712,f732,f337,f938,f736]) ).

fof(f1734,plain,
    ( ~ c1_1(a520)
    | ~ c2_1(a520)
    | ~ spl0_15
    | spl0_87 ),
    inference(resolution,[],[f247,f555]) ).

fof(f1746,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_47 ),
    inference(resolution,[],[f368,f202]) ).

fof(f1748,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_23
    | ~ spl0_47 ),
    inference(resolution,[],[f368,f276]) ).

fof(f1749,plain,
    ( ~ c0_1(a554)
    | c2_1(a554)
    | ~ spl0_47
    | spl0_104 ),
    inference(resolution,[],[f368,f634]) ).

fof(f1757,plain,
    ( ~ c0_1(a496)
    | c2_1(a496)
    | ~ spl0_47
    | spl0_68 ),
    inference(resolution,[],[f368,f468]) ).

fof(f1758,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_23
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f1748]) ).

fof(f1760,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_2
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f1746]) ).

fof(f1767,plain,
    ( spl0_105
    | ~ spl0_144
    | ~ spl0_47
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1749,f633,f367,f796,f637]) ).

fof(f1768,plain,
    ( spl0_28
    | ~ spl0_2
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f1760,f367,f201,f294]) ).

fof(f1771,plain,
    ( c0_1(a540)
    | ~ c1_1(a540)
    | ~ spl0_1
    | ~ spl0_140 ),
    inference(resolution,[],[f781,f199]) ).

fof(f1773,plain,
    ( c2_1(a540)
    | ~ c1_1(a540)
    | ~ spl0_7
    | ~ spl0_140 ),
    inference(resolution,[],[f781,f218]) ).

fof(f1775,plain,
    ( ~ spl0_141
    | spl0_175
    | ~ spl0_7
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1773,f780,f217,f1265,f784]) ).

fof(f1779,plain,
    ( spl0_164
    | ~ spl0_129
    | ~ spl0_37
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1565,f554,f325,f736,f938]) ).

fof(f1789,plain,
    ( ~ spl0_128
    | ~ spl0_164
    | ~ spl0_15
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1734,f554,f246,f938,f732]) ).

fof(f1794,plain,
    ( ~ spl0_128
    | ~ spl0_129
    | ~ spl0_21
    | spl0_87 ),
    inference(avatar_split_clause,[],[f985,f554,f268,f736,f732]) ).

fof(f1795,plain,
    ( ~ c1_1(a528)
    | ~ c2_1(a528)
    | ~ spl0_15
    | spl0_90 ),
    inference(resolution,[],[f569,f247]) ).

fof(f1797,plain,
    ( ~ c0_1(a541)
    | ~ c1_1(a541)
    | ~ spl0_12
    | spl0_103 ),
    inference(resolution,[],[f629,f236]) ).

fof(f1800,plain,
    ( ~ spl0_142
    | ~ spl0_143
    | ~ spl0_12
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1797,f628,f235,f792,f788]) ).

fof(f1825,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(resolution,[],[f232,f218]) ).

fof(f1832,plain,
    ( ~ c1_1(a495)
    | c0_1(a495)
    | ~ spl0_11
    | spl0_66 ),
    inference(resolution,[],[f232,f459]) ).

fof(f1836,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f1825]) ).

fof(f1839,plain,
    ( spl0_67
    | ~ spl0_113
    | ~ spl0_11
    | spl0_66 ),
    inference(avatar_split_clause,[],[f1832,f458,f231,f672,f462]) ).

fof(f1843,plain,
    ( spl0_5
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f1836,f231,f217,f211]) ).

fof(f1852,plain,
    ( c2_1(a504)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1142]) ).

fof(f1859,plain,
    ( c2_1(a540)
    | c0_1(a540)
    | ~ spl0_10
    | ~ spl0_140 ),
    inference(resolution,[],[f229,f781]) ).

fof(f1860,plain,
    ( c2_1(a532)
    | c0_1(a532)
    | ~ spl0_10
    | ~ spl0_135 ),
    inference(resolution,[],[f229,f761]) ).

fof(f1864,plain,
    ( c2_1(a494)
    | c0_1(a494)
    | ~ spl0_10
    | ~ spl0_112 ),
    inference(resolution,[],[f229,f669]) ).

fof(f1865,plain,
    ( spl0_65
    | spl0_64
    | ~ spl0_10
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1864,f668,f228,f449,f453]) ).

fof(f1867,plain,
    ( spl0_165
    | spl0_92
    | ~ spl0_10
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1860,f760,f228,f578,f993]) ).

fof(f1868,plain,
    ( spl0_102
    | spl0_175
    | ~ spl0_10
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1859,f780,f228,f1265,f623]) ).

fof(f1875,plain,
    ( ~ c0_1(a528)
    | ~ c2_1(a528)
    | ~ spl0_21
    | spl0_90 ),
    inference(resolution,[],[f269,f569]) ).

fof(f1876,plain,
    ( ~ c0_1(a527)
    | ~ c2_1(a527)
    | ~ spl0_21
    | spl0_88 ),
    inference(resolution,[],[f269,f560]) ).

fof(f1883,plain,
    ( ~ spl0_130
    | ~ spl0_180
    | ~ spl0_21
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1876,f559,f268,f1412,f740]) ).

fof(f1884,plain,
    ( ~ spl0_169
    | ~ spl0_132
    | ~ spl0_21
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1875,f568,f268,f748,f1114]) ).

fof(f1890,plain,
    ( ~ c0_1(a538)
    | c1_1(a538)
    | ~ spl0_37
    | spl0_100 ),
    inference(resolution,[],[f326,f615]) ).

fof(f1898,plain,
    ( ~ c0_1(a496)
    | c1_1(a496)
    | ~ spl0_37
    | spl0_68 ),
    inference(resolution,[],[f326,f468]) ).

fof(f1899,plain,
    ( spl0_70
    | ~ spl0_167
    | ~ spl0_37
    | spl0_68 ),
    inference(avatar_split_clause,[],[f1898,f467,f325,f1045,f475]) ).

fof(f1901,plain,
    ( spl0_101
    | ~ spl0_139
    | ~ spl0_37
    | spl0_100 ),
    inference(avatar_split_clause,[],[f1890,f614,f325,f776,f618]) ).

fof(f1929,plain,
    ( c0_1(a536)
    | c1_1(a536)
    | ~ spl0_51
    | spl0_97 ),
    inference(resolution,[],[f385,f602]) ).

fof(f1937,plain,
    ( spl0_98
    | spl0_99
    | ~ spl0_51
    | spl0_97 ),
    inference(avatar_split_clause,[],[f1929,f601,f384,f609,f605]) ).

fof(f1940,plain,
    ( ~ c0_1(a528)
    | ~ c1_1(a528)
    | ~ spl0_12
    | spl0_169 ),
    inference(resolution,[],[f1115,f236]) ).

fof(f1941,plain,
    ( ~ spl0_131
    | ~ spl0_132
    | ~ spl0_12
    | spl0_169 ),
    inference(avatar_split_clause,[],[f1940,f1114,f235,f748,f744]) ).

fof(f1955,plain,
    ( spl0_93
    | ~ spl0_165
    | ~ spl0_28
    | spl0_92 ),
    inference(avatar_split_clause,[],[f1036,f578,f294,f993,f582]) ).

fof(f1966,plain,
    ( ~ c0_1(a528)
    | ~ c1_1(a528)
    | ~ spl0_4
    | spl0_90 ),
    inference(resolution,[],[f208,f569]) ).

fof(f1973,plain,
    ( ~ spl0_131
    | ~ spl0_132
    | ~ spl0_4
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1966,f568,f207,f748,f744]) ).

fof(f1974,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(resolution,[],[f222,f218]) ).

fof(f1981,plain,
    ( c0_1(a502)
    | c2_1(a502)
    | ~ spl0_8
    | spl0_77 ),
    inference(resolution,[],[f222,f509]) ).

fof(f1982,plain,
    ( c0_1(a496)
    | c2_1(a496)
    | ~ spl0_8
    | spl0_68 ),
    inference(resolution,[],[f222,f468]) ).

fof(f1983,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(duplicate_literal_removal,[],[f1974]) ).

fof(f1984,plain,
    ( spl0_69
    | spl0_167
    | ~ spl0_8
    | spl0_68 ),
    inference(avatar_split_clause,[],[f1982,f467,f221,f1045,f471]) ).

fof(f1985,plain,
    ( spl0_168
    | spl0_79
    | ~ spl0_8
    | spl0_77 ),
    inference(avatar_split_clause,[],[f1981,f508,f221,f516,f1105]) ).

fof(f1989,plain,
    ( spl0_5
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f1983,f221,f217,f211]) ).

fof(f2004,plain,
    ( ~ c1_1(a498)
    | c0_1(a498)
    | ~ spl0_5
    | spl0_73 ),
    inference(resolution,[],[f212,f490]) ).

fof(f2007,plain,
    ( spl0_74
    | ~ spl0_115
    | ~ spl0_5
    | spl0_73 ),
    inference(avatar_split_clause,[],[f2004,f489,f211,f680,f493]) ).

fof(f2050,plain,
    ( ~ c0_1(a510)
    | c1_1(a510)
    | ~ spl0_28
    | spl0_84 ),
    inference(resolution,[],[f295,f541]) ).

fof(f2055,plain,
    ( spl0_85
    | ~ spl0_125
    | ~ spl0_28
    | spl0_84 ),
    inference(avatar_split_clause,[],[f2050,f540,f294,f720,f544]) ).

fof(f2060,plain,
    ( ~ c0_1(a522)
    | ~ c1_1(a522)
    | ~ spl0_29
    | ~ spl0_157 ),
    inference(resolution,[],[f298,f852]) ).

fof(f2061,plain,
    ( ~ c0_1(a512)
    | ~ c1_1(a512)
    | ~ spl0_29
    | ~ spl0_155 ),
    inference(resolution,[],[f298,f844]) ).

fof(f2075,plain,
    ( ~ spl0_156
    | ~ spl0_177
    | ~ spl0_29
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f2061,f843,f297,f1294,f847]) ).

fof(f2078,plain,
    ( ~ spl0_158
    | ~ spl0_159
    | ~ spl0_29
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2060,f851,f297,f860,f856]) ).

fof(f2085,plain,
    ( ~ spl0_169
    | ~ spl0_131
    | ~ spl0_15
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1795,f568,f246,f744,f1114]) ).

fof(f2100,plain,
    ( c0_1(a505)
    | ~ c1_1(a505)
    | ~ spl0_6
    | ~ spl0_121 ),
    inference(resolution,[],[f215,f705]) ).

fof(f2104,plain,
    ( ~ spl0_173
    | spl0_80
    | ~ spl0_6
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f2100,f704,f214,f521,f1202]) ).

fof(f2124,plain,
    ( c1_1(a527)
    | c0_1(a527)
    | ~ spl0_35
    | ~ spl0_130 ),
    inference(resolution,[],[f319,f741]) ).

fof(f2126,plain,
    ( c1_1(a505)
    | c0_1(a505)
    | ~ spl0_35
    | ~ spl0_121 ),
    inference(resolution,[],[f319,f705]) ).

fof(f2128,plain,
    ( c1_1(a497)
    | c0_1(a497)
    | ~ spl0_35
    | ~ spl0_114 ),
    inference(resolution,[],[f319,f677]) ).

fof(f2129,plain,
    ( spl0_72
    | spl0_71
    | ~ spl0_35
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2128,f676,f318,f480,f484]) ).

fof(f2130,plain,
    ( spl0_80
    | spl0_173
    | ~ spl0_35
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f2126,f704,f318,f1202,f521]) ).

fof(f2131,plain,
    ( spl0_180
    | spl0_89
    | ~ spl0_35
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2124,f740,f318,f563,f1412]) ).

fof(f2144,plain,
    ( ~ c2_1(a502)
    | c1_1(a502)
    | ~ spl0_52
    | spl0_77 ),
    inference(resolution,[],[f388,f509]) ).

fof(f2146,plain,
    ( spl0_78
    | ~ spl0_168
    | ~ spl0_52
    | spl0_77 ),
    inference(avatar_split_clause,[],[f2144,f508,f387,f1105,f512]) ).

fof(f2162,plain,
    ( c1_1(a496)
    | c2_1(a496)
    | ~ spl0_62
    | spl0_68 ),
    inference(resolution,[],[f441,f468]) ).

fof(f2164,plain,
    ( spl0_69
    | spl0_70
    | ~ spl0_62
    | spl0_68 ),
    inference(avatar_split_clause,[],[f2162,f467,f440,f475,f471]) ).

fof(f2168,plain,
    ( c0_1(a533)
    | ~ c1_1(a533)
    | ~ spl0_6
    | ~ spl0_136 ),
    inference(resolution,[],[f765,f215]) ).

fof(f2172,plain,
    ( ~ spl0_137
    | spl0_94
    | ~ spl0_6
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f2168,f764,f214,f587,f768]) ).

fof(f2181,plain,
    ( c0_1(a540)
    | ~ c1_1(a540)
    | ~ spl0_6
    | ~ spl0_175 ),
    inference(resolution,[],[f1341,f215]) ).

fof(f2183,plain,
    ( ~ spl0_141
    | spl0_102
    | ~ spl0_6
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f2181,f1265,f214,f623,f784]) ).

fof(f2185,plain,
    ( ~ spl0_141
    | spl0_102
    | ~ spl0_1
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1771,f780,f198,f623,f784]) ).

fof(f2188,plain,
    ( spl0_69
    | ~ spl0_167
    | ~ spl0_47
    | spl0_68 ),
    inference(avatar_split_clause,[],[f1757,f467,f367,f1045,f471]) ).

fof(f2242,plain,
    ( ~ c0_1(a504)
    | ~ c1_1(a504)
    | ~ spl0_29
    | ~ spl0_172 ),
    inference(resolution,[],[f1852,f298]) ).

fof(f2243,plain,
    ( ~ spl0_152
    | ~ spl0_153
    | ~ spl0_29
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f2242,f1142,f297,f834,f830]) ).

fof(f2252,plain,
    ( ~ c0_1(a510)
    | ~ spl0_23
    | ~ spl0_47
    | spl0_84 ),
    inference(resolution,[],[f1758,f541]) ).

fof(f2253,plain,
    ( ~ c0_1(a509)
    | ~ spl0_23
    | ~ spl0_47
    | spl0_83 ),
    inference(resolution,[],[f1758,f536]) ).

fof(f2260,plain,
    ( ~ spl0_124
    | ~ spl0_23
    | ~ spl0_47
    | spl0_83 ),
    inference(avatar_split_clause,[],[f2253,f535,f367,f275,f716]) ).

fof(f2261,plain,
    ( ~ spl0_125
    | ~ spl0_23
    | ~ spl0_47
    | spl0_84 ),
    inference(avatar_split_clause,[],[f2252,f540,f367,f275,f720]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f209]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f219]) ).

cnf(s3,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f226]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f233]) ).

cnf(s5,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_8
    | spl0_12 ),
    inference(sat_conversion,[],[f237]) ).

cnf(s6,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_7
    | spl0_13 ),
    inference(sat_conversion,[],[f241]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_14
    | spl0_15 ),
    inference(sat_conversion,[],[f248]) ).

cnf(s9,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_17
    | spl0_18 ),
    inference(sat_conversion,[],[f259]) ).

cnf(s10,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_12
    | spl0_19 ),
    inference(sat_conversion,[],[f263]) ).

cnf(s11,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f270]) ).

cnf(s12,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f277]) ).

cnf(s13,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_18
    | spl0_23 ),
    inference(sat_conversion,[],[f278]) ).

cnf(s15,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_25
    | spl0_26 ),
    inference(sat_conversion,[],[f289]) ).

cnf(s16,plain,
    ( ~ spl0_3
    | spl0_27
    | spl0_28
    | spl0_29 ),
    inference(sat_conversion,[],[f299]) ).

cnf(s17,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_30
    | spl0_31 ),
    inference(sat_conversion,[],[f306]) ).

cnf(s18,plain,
    ( ~ spl0_3
    | spl0_29
    | spl0_32
    | spl0_33 ),
    inference(sat_conversion,[],[f313]) ).

cnf(s19,plain,
    ( ~ spl0_3
    | spl0_29
    | spl0_34
    | spl0_35 ),
    inference(sat_conversion,[],[f320]) ).

cnf(s20,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_36
    | spl0_37 ),
    inference(sat_conversion,[],[f327]) ).

cnf(s21,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_28
    | spl0_38 ),
    inference(sat_conversion,[],[f331]) ).

cnf(s22,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_28
    | spl0_39 ),
    inference(sat_conversion,[],[f335]) ).

cnf(s23,plain,
    ( ~ spl0_3
    | spl0_24
    | spl0_28
    | spl0_40 ),
    inference(sat_conversion,[],[f339]) ).

cnf(s25,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_28
    | spl0_42 ),
    inference(sat_conversion,[],[f347]) ).

cnf(s26,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_11
    | spl0_43 ),
    inference(sat_conversion,[],[f351]) ).

cnf(s28,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_40
    | spl0_44 ),
    inference(sat_conversion,[],[f356]) ).

cnf(s29,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_35
    | spl0_45 ),
    inference(sat_conversion,[],[f360]) ).

cnf(s31,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_18
    | spl0_29 ),
    inference(sat_conversion,[],[f362]) ).

cnf(s32,plain,
    ( ~ spl0_3
    | spl0_37
    | spl0_46
    | spl0_47 ),
    inference(sat_conversion,[],[f369]) ).

cnf(s34,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_28
    | spl0_39 ),
    inference(sat_conversion,[],[f374]) ).

cnf(s35,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_12
    | spl0_49 ),
    inference(sat_conversion,[],[f378]) ).

cnf(s36,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_37
    | spl0_50 ),
    inference(sat_conversion,[],[f382]) ).

cnf(s37,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_51
    | spl0_52 ),
    inference(sat_conversion,[],[f389]) ).

cnf(s38,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_20
    | spl0_46 ),
    inference(sat_conversion,[],[f390]) ).

cnf(s39,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_53
    | spl0_54 ),
    inference(sat_conversion,[],[f397]) ).

cnf(s41,plain,
    ( ~ spl0_3
    | spl0_29
    | spl0_43
    | spl0_56 ),
    inference(sat_conversion,[],[f405]) ).

cnf(s45,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_34
    | spl0_45 ),
    inference(sat_conversion,[],[f418]) ).

cnf(s46,plain,
    ( ~ spl0_3
    | spl0_20
    | spl0_31
    | spl0_45 ),
    inference(sat_conversion,[],[f419]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_19
    | spl0_60 ),
    inference(sat_conversion,[],[f425]) ).

cnf(s52,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_37
    | spl0_45 ),
    inference(sat_conversion,[],[f428]) ).

cnf(s53,plain,
    ( ~ spl0_3
    | spl0_33
    | spl0_55
    | spl0_60 ),
    inference(sat_conversion,[],[f429]) ).

cnf(s60,plain,
    ( ~ spl0_3
    | spl0_53
    | spl0_61
    | spl0_62 ),
    inference(sat_conversion,[],[f442]) ).

cnf(s61,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_42
    | spl0_63 ),
    inference(sat_conversion,[],[f446]) ).

cnf(s62,plain,
    ( ~ spl0_16
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f451]) ).

cnf(s63,plain,
    ( ~ spl0_16
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f455]) ).

cnf(s64,plain,
    ( ~ spl0_50
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f460]) ).

cnf(s65,plain,
    ( ~ spl0_50
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f464]) ).

cnf(s66,plain,
    ( ~ spl0_18
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f469]) ).

cnf(s67,plain,
    ( ~ spl0_18
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s68,plain,
    ( ~ spl0_18
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f477]) ).

cnf(s69,plain,
    ( ~ spl0_27
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f482]) ).

cnf(s70,plain,
    ( ~ spl0_27
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f486]) ).

cnf(s71,plain,
    ( ~ spl0_45
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f491]) ).

cnf(s72,plain,
    ( ~ spl0_45
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f495]) ).

cnf(s73,plain,
    ( ~ spl0_34
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f500]) ).

cnf(s74,plain,
    ( ~ spl0_49
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f505]) ).

cnf(s75,plain,
    ( ~ spl0_44
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f510]) ).

cnf(s76,plain,
    ( ~ spl0_44
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f514]) ).

cnf(s77,plain,
    ( ~ spl0_44
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f518]) ).

cnf(s78,plain,
    ( ~ spl0_43
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f523]) ).

cnf(s79,plain,
    ( ~ spl0_39
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f528]) ).

cnf(s80,plain,
    ( ~ spl0_39
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f532]) ).

cnf(s81,plain,
    ( ~ spl0_42
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f537]) ).

cnf(s82,plain,
    ( ~ spl0_63
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f542]) ).

cnf(s83,plain,
    ( ~ spl0_63
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f546]) ).

cnf(s84,plain,
    ( ~ spl0_56
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f551]) ).

cnf(s85,plain,
    ( ~ spl0_55
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f556]) ).

cnf(s86,plain,
    ( ~ spl0_41
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f561]) ).

cnf(s87,plain,
    ( ~ spl0_41
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f565]) ).

cnf(s88,plain,
    ( ~ spl0_30
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f570]) ).

cnf(s90,plain,
    ( ~ spl0_20
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f580]) ).

cnf(s91,plain,
    ( ~ spl0_20
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f584]) ).

cnf(s92,plain,
    ( ~ spl0_61
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f589]) ).

cnf(s93,plain,
    ( ~ spl0_53
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f594]) ).

cnf(s94,plain,
    ( ~ spl0_53
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f598]) ).

cnf(s95,plain,
    ( ~ spl0_24
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f603]) ).

cnf(s96,plain,
    ( ~ spl0_24
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f607]) ).

cnf(s97,plain,
    ( ~ spl0_24
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f611]) ).

cnf(s98,plain,
    ( ~ spl0_38
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f616]) ).

cnf(s99,plain,
    ( ~ spl0_38
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f620]) ).

cnf(s100,plain,
    ( ~ spl0_46
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f625]) ).

cnf(s101,plain,
    ( ~ spl0_36
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f630]) ).

cnf(s102,plain,
    ( ~ spl0_22
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f635]) ).

cnf(s103,plain,
    ( ~ spl0_22
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f639]) ).

cnf(s106,plain,
    ( ~ spl0_59
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f653]) ).

cnf(s107,plain,
    ( ~ spl0_59
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f657]) ).

cnf(s108,plain,
    ( ~ spl0_59
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f661]) ).

cnf(s109,plain,
    ( ~ spl0_54
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f666]) ).

cnf(s110,plain,
    ( ~ spl0_16
    | spl0_112 ),
    inference(sat_conversion,[],[f670]) ).

cnf(s111,plain,
    ( ~ spl0_50
    | spl0_113 ),
    inference(sat_conversion,[],[f674]) ).

cnf(s112,plain,
    ( ~ spl0_27
    | spl0_114 ),
    inference(sat_conversion,[],[f678]) ).

cnf(s113,plain,
    ( ~ spl0_45
    | spl0_115 ),
    inference(sat_conversion,[],[f682]) ).

cnf(s114,plain,
    ( ~ spl0_34
    | spl0_116 ),
    inference(sat_conversion,[],[f686]) ).

cnf(s115,plain,
    ( ~ spl0_34
    | spl0_117 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s116,plain,
    ( ~ spl0_49
    | spl0_118 ),
    inference(sat_conversion,[],[f694]) ).

cnf(s117,plain,
    ( ~ spl0_49
    | spl0_119 ),
    inference(sat_conversion,[],[f698]) ).

cnf(s118,plain,
    ( ~ spl0_43
    | spl0_120 ),
    inference(sat_conversion,[],[f702]) ).

cnf(s119,plain,
    ( ~ spl0_43
    | spl0_121 ),
    inference(sat_conversion,[],[f706]) ).

cnf(s120,plain,
    ( ~ spl0_39
    | spl0_122 ),
    inference(sat_conversion,[],[f710]) ).

cnf(s121,plain,
    ( ~ spl0_42
    | spl0_123 ),
    inference(sat_conversion,[],[f714]) ).

cnf(s122,plain,
    ( ~ spl0_42
    | spl0_124 ),
    inference(sat_conversion,[],[f718]) ).

cnf(s123,plain,
    ( ~ spl0_63
    | spl0_125 ),
    inference(sat_conversion,[],[f722]) ).

cnf(s124,plain,
    ( ~ spl0_56
    | spl0_126 ),
    inference(sat_conversion,[],[f726]) ).

cnf(s125,plain,
    ( ~ spl0_56
    | spl0_127 ),
    inference(sat_conversion,[],[f730]) ).

cnf(s126,plain,
    ( ~ spl0_55
    | spl0_128 ),
    inference(sat_conversion,[],[f734]) ).

cnf(s127,plain,
    ( ~ spl0_55
    | spl0_129 ),
    inference(sat_conversion,[],[f738]) ).

cnf(s128,plain,
    ( ~ spl0_41
    | spl0_130 ),
    inference(sat_conversion,[],[f742]) ).

cnf(s129,plain,
    ( ~ spl0_30
    | spl0_131 ),
    inference(sat_conversion,[],[f746]) ).

cnf(s130,plain,
    ( ~ spl0_30
    | spl0_132 ),
    inference(sat_conversion,[],[f750]) ).

cnf(s133,plain,
    ( ~ spl0_20
    | spl0_135 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s134,plain,
    ( ~ spl0_61
    | spl0_136 ),
    inference(sat_conversion,[],[f766]) ).

cnf(s135,plain,
    ( ~ spl0_61
    | spl0_137 ),
    inference(sat_conversion,[],[f770]) ).

cnf(s136,plain,
    ( ~ spl0_53
    | spl0_138 ),
    inference(sat_conversion,[],[f774]) ).

cnf(s137,plain,
    ( ~ spl0_38
    | spl0_139 ),
    inference(sat_conversion,[],[f778]) ).

cnf(s138,plain,
    ( ~ spl0_46
    | spl0_140 ),
    inference(sat_conversion,[],[f782]) ).

cnf(s139,plain,
    ( ~ spl0_46
    | spl0_141 ),
    inference(sat_conversion,[],[f786]) ).

cnf(s140,plain,
    ( ~ spl0_36
    | spl0_142 ),
    inference(sat_conversion,[],[f790]) ).

cnf(s141,plain,
    ( ~ spl0_36
    | spl0_143 ),
    inference(sat_conversion,[],[f794]) ).

cnf(s142,plain,
    ( ~ spl0_22
    | spl0_144 ),
    inference(sat_conversion,[],[f798]) ).

cnf(s144,plain,
    ( ~ spl0_54
    | spl0_146 ),
    inference(sat_conversion,[],[f806]) ).

cnf(s145,plain,
    ( ~ spl0_54
    | spl0_147 ),
    inference(sat_conversion,[],[f810]) ).

cnf(s146,plain,
    ( ~ spl0_32
    | spl0_148 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s147,plain,
    ( ~ spl0_32
    | spl0_149 ),
    inference(sat_conversion,[],[f819]) ).

cnf(s148,plain,
    ( ~ spl0_32
    | spl0_150 ),
    inference(sat_conversion,[],[f823]) ).

cnf(s149,plain,
    ( ~ spl0_26
    | spl0_151 ),
    inference(sat_conversion,[],[f828]) ).

cnf(s150,plain,
    ( ~ spl0_26
    | spl0_152 ),
    inference(sat_conversion,[],[f832]) ).

cnf(s151,plain,
    ( ~ spl0_26
    | spl0_153 ),
    inference(sat_conversion,[],[f836]) ).

cnf(s152,plain,
    ( ~ spl0_60
    | spl0_154 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s153,plain,
    ( ~ spl0_60
    | spl0_155 ),
    inference(sat_conversion,[],[f845]) ).

cnf(s154,plain,
    ( ~ spl0_60
    | spl0_156 ),
    inference(sat_conversion,[],[f849]) ).

cnf(s155,plain,
    ( ~ spl0_19
    | spl0_157 ),
    inference(sat_conversion,[],[f854]) ).

cnf(s156,plain,
    ( ~ spl0_19
    | spl0_158 ),
    inference(sat_conversion,[],[f858]) ).

cnf(s157,plain,
    ( ~ spl0_19
    | spl0_159 ),
    inference(sat_conversion,[],[f862]) ).

cnf(s158,plain,
    ( spl0_18
    | spl0_43
    | spl0_45 ),
    inference(sat_conversion,[],[f863]) ).

cnf(s159,plain,
    ( spl0_20
    | spl0_59
    | spl0_63 ),
    inference(sat_conversion,[],[f864]) ).

cnf(s161,plain,
    ( spl0_41
    | spl0_49
    | spl0_55 ),
    inference(sat_conversion,[],[f866]) ).

cnf(s163,plain,
    ( spl0_32
    | spl0_42
    | spl0_55 ),
    inference(sat_conversion,[],[f868]) ).

cnf(s164,plain,
    ( spl0_30
    | spl0_55
    | spl0_56 ),
    inference(sat_conversion,[],[f869]) ).

cnf(s175,plain,
    ( spl0_3
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f881]) ).

cnf(s178,plain,
    ( spl0_3
    | ~ spl0_55 ),
    inference(sat_conversion,[],[f884]) ).

cnf(s193,plain,
    ( spl0_3
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f899]) ).

cnf(s198,plain,
    ( ~ spl0_4
    | spl0_76
    | ~ spl0_119
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f917]) ).

cnf(s200,plain,
    ( ~ spl0_5
    | spl0_86
    | ~ spl0_127
    | spl0_163 ),
    inference(sat_conversion,[],[f932]) ).

cnf(s201,plain,
    ( ~ spl0_6
    | ~ spl0_118
    | ~ spl0_119
    | spl0_161 ),
    inference(sat_conversion,[],[f935]) ).

cnf(s202,plain,
    ( ~ spl0_4
    | spl0_87
    | ~ spl0_129
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f941]) ).

cnf(s204,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | spl0_29 ),
    inference(sat_conversion,[],[f948]) ).

cnf(s207,plain,
    ( ~ spl0_12
    | spl0_83
    | ~ spl0_124
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f966]) ).

cnf(s208,plain,
    ( ~ spl0_12
    | spl0_86
    | ~ spl0_127
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f968]) ).

cnf(s211,plain,
    ( ~ spl0_13
    | spl0_93
    | ~ spl0_135
    | spl0_165 ),
    inference(sat_conversion,[],[f1000]) ).

cnf(s218,plain,
    ( ~ spl0_28
    | spl0_83
    | ~ spl0_124
    | spl0_160 ),
    inference(sat_conversion,[],[f1048]) ).

cnf(s223,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_127
    | spl0_163 ),
    inference(sat_conversion,[],[f1077]) ).

cnf(s225,plain,
    ( ~ spl0_13
    | ~ spl0_33
    | spl0_35 ),
    inference(sat_conversion,[],[f1093]) ).

cnf(s228,plain,
    ( spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f1097]) ).

cnf(s229,plain,
    ( spl0_6
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f1098]) ).

cnf(s230,plain,
    ( spl0_6
    | ~ spl0_9
    | ~ spl0_33 ),
    inference(sat_conversion,[],[f1099]) ).

cnf(s237,plain,
    ( ~ spl0_5
    | spl0_96
    | ~ spl0_138
    | spl0_170 ),
    inference(sat_conversion,[],[f1127]) ).

cnf(s238,plain,
    ( ~ spl0_13
    | spl0_81
    | spl0_82
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f1133]) ).

cnf(s246,plain,
    ( ~ spl0_8
    | spl0_108
    | spl0_109
    | spl0_110 ),
    inference(sat_conversion,[],[f1176]) ).

cnf(s252,plain,
    ( ~ spl0_25
    | ~ spl0_120
    | ~ spl0_121
    | spl0_173 ),
    inference(sat_conversion,[],[f1204]) ).

cnf(s253,plain,
    ( ~ spl0_31
    | spl0_80
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1206]) ).

cnf(s263,plain,
    ( ~ spl0_13
    | spl0_80
    | ~ spl0_120
    | spl0_173 ),
    inference(sat_conversion,[],[f1239]) ).

cnf(s272,plain,
    ( ~ spl0_25
    | ~ spl0_148
    | ~ spl0_149
    | spl0_174 ),
    inference(sat_conversion,[],[f1254]) ).

cnf(s274,plain,
    ( ~ spl0_9
    | ~ spl0_148
    | ~ spl0_149
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f1257]) ).

cnf(s282,plain,
    ( ~ spl0_2
    | spl0_111
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1283]) ).

cnf(s285,plain,
    ( ~ spl0_9
    | ~ spl0_120
    | ~ spl0_121
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1285]) ).

cnf(s303,plain,
    ( ~ spl0_7
    | spl0_86
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f1355]) ).

cnf(s311,plain,
    ( ~ spl0_9
    | ~ spl0_140
    | ~ spl0_141
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f1385]) ).

cnf(s312,plain,
    ( ~ spl0_9
    | ~ spl0_154
    | ~ spl0_155
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1386]) ).

cnf(s316,plain,
    ( ~ spl0_14
    | spl0_77
    | spl0_78
    | spl0_79 ),
    inference(sat_conversion,[],[f1407]) ).

cnf(s326,plain,
    ( spl0_6
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f1424]) ).

cnf(s327,plain,
    ( ~ spl0_9
    | ~ spl0_12
    | ~ spl0_15
    | ~ spl0_119
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1425]) ).

cnf(s331,plain,
    ( ~ spl0_6
    | ~ spl0_155
    | ~ spl0_156
    | spl0_177 ),
    inference(sat_conversion,[],[f1441]) ).

cnf(s336,plain,
    ( ~ spl0_28
    | spl0_69
    | spl0_70
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1479]) ).

cnf(s361,plain,
    ( ~ spl0_17
    | ~ spl0_37
    | spl0_40 ),
    inference(sat_conversion,[],[f1583]) ).

cnf(s369,plain,
    ( ~ spl0_9
    | ~ spl0_151
    | ~ spl0_152
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1592]) ).

cnf(s373,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | spl0_12 ),
    inference(sat_conversion,[],[f1596]) ).

cnf(s377,plain,
    ( ~ spl0_12
    | ~ spl0_152
    | ~ spl0_153
    | spl0_172 ),
    inference(sat_conversion,[],[f1598]) ).

cnf(s384,plain,
    ( ~ spl0_4
    | spl0_12
    | ~ spl0_23 ),
    inference(sat_conversion,[],[f1605]) ).

cnf(s397,plain,
    ( ~ spl0_4
    | spl0_95
    | ~ spl0_138
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1620]) ).

cnf(s402,plain,
    ( ~ spl0_1
    | spl0_80
    | ~ spl0_120
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1639]) ).

cnf(s404,plain,
    ( ~ spl0_7
    | spl0_83
    | ~ spl0_123
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1648]) ).

cnf(s405,plain,
    ( ~ spl0_2
    | ~ spl0_123
    | ~ spl0_124
    | spl0_160 ),
    inference(sat_conversion,[],[f1649]) ).

cnf(s406,plain,
    ( ~ spl0_2
    | spl0_93
    | ~ spl0_135
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1653]) ).

cnf(s407,plain,
    ( ~ spl0_2
    | ~ spl0_148
    | ~ spl0_150
    | spl0_174 ),
    inference(sat_conversion,[],[f1657]) ).

cnf(s409,plain,
    ( ~ spl0_1
    | ~ spl0_154
    | ~ spl0_156
    | spl0_177 ),
    inference(sat_conversion,[],[f1662]) ).

cnf(s410,plain,
    ( ~ spl0_12
    | spl0_96
    | ~ spl0_138
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1677]) ).

cnf(s411,plain,
    ( ~ spl0_14
    | spl0_68
    | spl0_70
    | spl0_167 ),
    inference(sat_conversion,[],[f1691]) ).

cnf(s413,plain,
    ( ~ spl0_14
    | spl0_88
    | spl0_89
    | spl0_180 ),
    inference(sat_conversion,[],[f1693]) ).

cnf(s414,plain,
    ( ~ spl0_23
    | spl0_83
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1704]) ).

cnf(s416,plain,
    ( ~ spl0_40
    | spl0_75
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f1719]) ).

cnf(s417,plain,
    ( ~ spl0_40
    | ~ spl0_128
    | ~ spl0_129
    | spl0_164 ),
    inference(sat_conversion,[],[f1720]) ).

cnf(s425,plain,
    ( ~ spl0_47
    | spl0_104
    | spl0_105
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1767]) ).

cnf(s426,plain,
    ( ~ spl0_2
    | spl0_28
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f1768]) ).

cnf(s429,plain,
    ( ~ spl0_7
    | ~ spl0_140
    | ~ spl0_141
    | spl0_175 ),
    inference(sat_conversion,[],[f1775]) ).

cnf(s433,plain,
    ( ~ spl0_37
    | spl0_87
    | ~ spl0_129
    | spl0_164 ),
    inference(sat_conversion,[],[f1779]) ).

cnf(s443,plain,
    ( ~ spl0_15
    | spl0_87
    | ~ spl0_128
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1789]) ).

cnf(s447,plain,
    ( ~ spl0_21
    | spl0_87
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f1794]) ).

cnf(s449,plain,
    ( ~ spl0_12
    | spl0_103
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1800]) ).

cnf(s459,plain,
    ( ~ spl0_11
    | spl0_66
    | spl0_67
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f1839]) ).

cnf(s463,plain,
    ( spl0_5
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f1843]) ).

cnf(s472,plain,
    ( ~ spl0_10
    | spl0_64
    | spl0_65
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f1865]) ).

cnf(s474,plain,
    ( ~ spl0_10
    | spl0_92
    | ~ spl0_135
    | spl0_165 ),
    inference(sat_conversion,[],[f1867]) ).

cnf(s475,plain,
    ( ~ spl0_10
    | spl0_102
    | ~ spl0_140
    | spl0_175 ),
    inference(sat_conversion,[],[f1868]) ).

cnf(s476,plain,
    ( ~ spl0_21
    | spl0_88
    | ~ spl0_130
    | ~ spl0_180 ),
    inference(sat_conversion,[],[f1883]) ).

cnf(s477,plain,
    ( ~ spl0_21
    | spl0_90
    | ~ spl0_132
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1884]) ).

cnf(s479,plain,
    ( ~ spl0_37
    | spl0_68
    | spl0_70
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1899]) ).

cnf(s481,plain,
    ( ~ spl0_37
    | spl0_100
    | spl0_101
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1901]) ).

cnf(s488,plain,
    ( ~ spl0_51
    | spl0_97
    | spl0_98
    | spl0_99 ),
    inference(sat_conversion,[],[f1937]) ).

cnf(s491,plain,
    ( ~ spl0_12
    | ~ spl0_131
    | ~ spl0_132
    | spl0_169 ),
    inference(sat_conversion,[],[f1941]) ).

cnf(s504,plain,
    ( ~ spl0_28
    | spl0_92
    | spl0_93
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1955]) ).

cnf(s511,plain,
    ( ~ spl0_4
    | spl0_90
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f1973]) ).

cnf(s512,plain,
    ( ~ spl0_8
    | spl0_68
    | spl0_69
    | spl0_167 ),
    inference(sat_conversion,[],[f1984]) ).

cnf(s513,plain,
    ( ~ spl0_8
    | spl0_77
    | spl0_79
    | spl0_168 ),
    inference(sat_conversion,[],[f1985]) ).

cnf(s516,plain,
    ( spl0_5
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f1989]) ).

cnf(s528,plain,
    ( ~ spl0_5
    | spl0_73
    | spl0_74
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f2007]) ).

cnf(s539,plain,
    ( ~ spl0_28
    | spl0_84
    | spl0_85
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f2055]) ).

cnf(s542,plain,
    ( ~ spl0_29
    | ~ spl0_155
    | ~ spl0_156
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f2075]) ).

cnf(s543,plain,
    ( ~ spl0_29
    | ~ spl0_157
    | ~ spl0_158
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f2078]) ).

cnf(s550,plain,
    ( ~ spl0_15
    | spl0_90
    | ~ spl0_131
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f2085]) ).

cnf(s555,plain,
    ( ~ spl0_6
    | spl0_80
    | ~ spl0_121
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f2104]) ).

cnf(s559,plain,
    ( ~ spl0_35
    | spl0_71
    | spl0_72
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f2129]) ).

cnf(s560,plain,
    ( ~ spl0_35
    | spl0_80
    | ~ spl0_121
    | spl0_173 ),
    inference(sat_conversion,[],[f2130]) ).

cnf(s561,plain,
    ( ~ spl0_35
    | spl0_89
    | ~ spl0_130
    | spl0_180 ),
    inference(sat_conversion,[],[f2131]) ).

cnf(s564,plain,
    ( ~ spl0_52
    | spl0_77
    | spl0_78
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2146]) ).

cnf(s569,plain,
    ( ~ spl0_62
    | spl0_68
    | spl0_69
    | spl0_70 ),
    inference(sat_conversion,[],[f2164]) ).

cnf(s573,plain,
    ( ~ spl0_6
    | spl0_94
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f2172]) ).

cnf(s578,plain,
    ( ~ spl0_6
    | spl0_102
    | ~ spl0_141
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f2183]) ).

cnf(s580,plain,
    ( ~ spl0_1
    | spl0_102
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f2185]) ).

cnf(s583,plain,
    ( ~ spl0_47
    | spl0_68
    | spl0_69
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f2188]) ).

cnf(s590,plain,
    ( ~ spl0_29
    | ~ spl0_152
    | ~ spl0_153
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2243]) ).

cnf(s591,plain,
    ( ~ spl0_23
    | ~ spl0_47
    | spl0_83
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f2260]) ).

cnf(s592,plain,
    ( ~ spl0_23
    | ~ spl0_47
    | spl0_84
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f2261]) ).

cnf(s594,plain,
    spl0_3,
    inference(rat,[],[s163,s175,s178,s193]) ).

cnf(s595,plain,
    ( spl0_6
    | spl0_5
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s377,s590,s150,s151,s15,s252,s285,s118,s119,s204,s26,s3,s373,s463,s516,s2,s594]) ).

cnf(s596,plain,
    ( ~ spl0_46
    | ~ spl0_7
    | ~ spl0_6 ),
    inference(rat,[],[s578,s429,s100,s138,s139]) ).

cnf(s598,plain,
    ( ~ spl0_49
    | ~ spl0_6
    | ~ spl0_4 ),
    inference(rat,[],[s198,s201,s74,s116,s117]) ).

cnf(s601,plain,
    ( ~ spl0_56
    | ~ spl0_7 ),
    inference(rat,[],[s303,s84,s124,s125]) ).

cnf(s603,plain,
    ( ~ spl0_63
    | ~ spl0_23
    | ~ spl0_47 ),
    inference(rat,[],[s592,s82,s123]) ).

cnf(s604,plain,
    ( ~ spl0_23
    | ~ spl0_47
    | spl0_8 ),
    inference(rat,[],[s591,s81,s122,s61,s603,s594]) ).

cnf(s605,plain,
    ( ~ spl0_55
    | spl0_46
    | ~ spl0_15
    | spl0_8 ),
    inference(rat,[],[s425,s102,s103,s142,s12,s604,s32,s433,s443,s447,s85,s126,s127,s594]) ).

cnf(s606,plain,
    ( ~ spl0_30
    | ~ spl0_4 ),
    inference(rat,[],[s511,s88,s129,s130]) ).

cnf(s607,plain,
    ( ~ spl0_7
    | spl0_5
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s316,s75,s76,s77,s28,s417,s7,s202,s263,s555,s605,s85,s126,s127,s78,s118,s119,s164,s26,s601,s596,s463,s516,s606,s595,s594]) ).

cnf(s608,plain,
    ( ~ spl0_129
    | spl0_164
    | ~ spl0_128
    | spl0_87
    | spl0_46
    | spl0_8 ),
    inference(rat,[],[s425,s102,s103,s142,s12,s604,s32,s433,s447,s594]) ).

cnf(s609,plain,
    ( ~ spl0_39
    | ~ spl0_13 ),
    inference(rat,[],[s238,s79,s80,s120]) ).

cnf(s610,plain,
    ( ~ spl0_20
    | ~ spl0_28
    | ~ spl0_13 ),
    inference(rat,[],[s504,s211,s90,s91,s133]) ).

cnf(s611,plain,
    ( ~ spl0_60
    | ~ spl0_29
    | ~ spl0_6 ),
    inference(rat,[],[s331,s542,s153,s154]) ).

cnf(s612,plain,
    ( spl0_55
    | spl0_60
    | ~ spl0_21
    | ~ spl0_13
    | spl0_49 ),
    inference(rat,[],[s561,s476,s225,s86,s87,s128,s53,s161,s594]) ).

cnf(s613,plain,
    ( ~ spl0_55
    | ~ spl0_21 ),
    inference(rat,[],[s447,s85,s126,s127]) ).

cnf(s614,plain,
    ( ~ spl0_43
    | ~ spl0_13
    | ~ spl0_6 ),
    inference(rat,[],[s263,s555,s78,s118,s119]) ).

cnf(s615,plain,
    ( ~ spl0_50
    | ~ spl0_11 ),
    inference(rat,[],[s459,s64,s65,s111]) ).

cnf(s616,plain,
    ( ~ spl0_63
    | ~ spl0_28 ),
    inference(rat,[],[s539,s82,s83,s123]) ).

cnf(s617,plain,
    ( spl0_8
    | ~ spl0_28
    | spl0_49 ),
    inference(rat,[],[s207,s218,s81,s122,s61,s35,s616,s594]) ).

cnf(s618,plain,
    ( spl0_5
    | spl0_2
    | ~ spl0_4 ),
    inference(rat,[],[s512,s617,s336,s66,s67,s68,s31,s413,s476,s611,s86,s87,s128,s612,s161,s613,s11,s610,s34,s609,s6,s607,s598,s595,s594]) ).

cnf(s619,plain,
    ( ~ spl0_45
    | ~ spl0_5 ),
    inference(rat,[],[s528,s71,s72,s113]) ).

cnf(s620,plain,
    ( spl0_56
    | ~ spl0_6
    | spl0_45
    | ~ spl0_4 ),
    inference(rat,[],[s560,s555,s78,s119,s41,s543,s155,s156,s157,s52,s433,s29,s202,s613,s85,s127,s164,s606,s594]) ).

cnf(s621,plain,
    ( ~ spl0_6
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s253,s78,s118,s119,s26,s615,s36,s413,s476,s86,s87,s128,s161,s613,s29,s559,s69,s70,s112,s16,s543,s155,s156,s157,s52,s479,s336,s512,s66,s67,s68,s17,s35,s13,s384,s208,s223,s84,s125,s620,s598,s606,s619,s618,s594]) ).

cnf(s622,plain,
    ( ~ spl0_27
    | ~ spl0_35 ),
    inference(rat,[],[s559,s69,s70,s112]) ).

cnf(s623,plain,
    ( spl0_56
    | spl0_6
    | spl0_45
    | ~ spl0_4 ),
    inference(rat,[],[s512,s336,s66,s67,s68,s31,s316,s75,s76,s77,s28,s610,s16,s622,s46,s253,s78,s118,s119,s3,s41,s204,s543,s155,s156,s157,s52,s433,s29,s417,s202,s613,s85,s126,s127,s164,s606,s594]) ).

cnf(s624,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s253,s78,s118,s119,s26,s229,s17,s208,s200,s84,s125,s623,s621,s619,s618,s606,s1,s594]) ).

cnf(s625,plain,
    ( ~ spl0_7
    | spl0_164
    | spl0_87
    | ~ spl0_128
    | ~ spl0_129
    | ~ spl0_6
    | spl0_5 ),
    inference(rat,[],[s608,s596,s516]) ).

cnf(s626,plain,
    ( ~ spl0_55
    | ~ spl0_6
    | ~ spl0_4
    | spl0_5 ),
    inference(rat,[],[s34,s610,s609,s11,s6,s625,s202,s613,s85,s126,s127,s594]) ).

cnf(s627,plain,
    ( ~ spl0_6
    | ~ spl0_4
    | spl0_5 ),
    inference(rat,[],[s246,s106,s107,s108,s159,s617,s616,s610,s34,s609,s6,s601,s164,s626,s598,s606,s594]) ).

cnf(s628,plain,
    ( ~ spl0_4
    | spl0_5 ),
    inference(rat,[],[s311,s429,s138,s139,s608,s202,s85,s126,s127,s164,s3,s601,s516,s2,s627,s606,s594]) ).

cnf(s629,plain,
    ( ~ spl0_42
    | ~ spl0_7
    | ~ spl0_2 ),
    inference(rat,[],[s404,s405,s81,s121,s122]) ).

cnf(s630,plain,
    ( ~ spl0_7
    | spl0_5
    | spl0_1 ),
    inference(rat,[],[s616,s61,s25,s629,s516,s624,s594]) ).

cnf(s631,plain,
    ( spl0_5
    | spl0_1 ),
    inference(rat,[],[s207,s405,s81,s121,s122,s61,s5,s246,s106,s107,s108,s159,s616,s610,s22,s609,s6,s630,s628,s624,s594]) ).

cnf(s632,plain,
    ( spl0_56
    | ~ spl0_4
    | spl0_45 ),
    inference(rat,[],[s623,s620]) ).

cnf(s633,plain,
    ( ~ spl0_54
    | ~ spl0_2 ),
    inference(rat,[],[s282,s109,s144,s145]) ).

cnf(s634,plain,
    ( ~ spl0_53
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(rat,[],[s397,s237,s93,s94,s136]) ).

cnf(s635,plain,
    ( ~ spl0_19
    | ~ spl0_29 ),
    inference(rat,[],[s543,s155,s156,s157]) ).

cnf(s636,plain,
    ( ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s312,s152,s153,s154,s49,s635,s573,s92,s134,s135,s204,s60,s39,s634,s569,s66,s67,s68,s13,s384,s208,s200,s84,s125,s632,s619,s631,s633,s624,s594]) ).

cnf(s637,plain,
    ( spl0_28
    | ~ spl0_8
    | ~ spl0_6
    | spl0_1 ),
    inference(rat,[],[s4,s615,s475,s36,s578,s316,s100,s138,s139,s75,s76,s77,s32,s28,s479,s416,s512,s73,s114,s115,s66,s67,s68,s45,s13,s207,s414,s405,s81,s121,s122,s609,s25,s22,s426,s624,s619,s631,s636,s594]) ).

cnf(s638,plain,
    ( ~ spl0_18
    | ~ spl0_28
    | ~ spl0_8 ),
    inference(rat,[],[s512,s336,s66,s67,s68]) ).

cnf(s639,plain,
    ( spl0_29
    | spl0_35
    | spl0_13
    | spl0_18 ),
    inference(rat,[],[s316,s75,s76,s77,s28,s416,s73,s114,s115,s19,s31,s594]) ).

cnf(s640,plain,
    ( spl0_9
    | spl0_19
    | spl0_1 ),
    inference(rat,[],[s237,s410,s94,s136,s10,s39,s631,s633,s624,s594]) ).

cnf(s641,plain,
    ( ~ spl0_34
    | ~ spl0_40 ),
    inference(rat,[],[s416,s73,s114,s115]) ).

cnf(s642,plain,
    ( ~ spl0_56
    | ~ spl0_12
    | ~ spl0_6
    | ~ spl0_5 ),
    inference(rat,[],[s208,s223,s84,s125]) ).

cnf(s643,plain,
    ( ~ spl0_30
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(rat,[],[s491,s477,s88,s129,s130]) ).

cnf(s644,plain,
    ( spl0_18
    | ~ spl0_6
    | spl0_1 ),
    inference(rat,[],[s164,s613,s643,s642,s45,s641,s361,s52,s635,s639,s29,s560,s555,s614,s78,s119,s9,s158,s619,s631,s636,s594]) ).

cnf(s645,plain,
    ( ~ spl0_8
    | ~ spl0_6
    | spl0_1 ),
    inference(rat,[],[s638,s637,s644]) ).

cnf(s646,plain,
    ( ~ spl0_42
    | ~ spl0_12
    | ~ spl0_2 ),
    inference(rat,[],[s207,s405,s81,s121,s122]) ).

cnf(s647,plain,
    ( spl0_8
    | spl0_1 ),
    inference(rat,[],[s616,s61,s25,s646,s5,s624,s636,s594]) ).

cnf(s648,plain,
    ( spl0_28
    | spl0_1 ),
    inference(rat,[],[s472,s4,s62,s63,s110,s615,s37,s36,s564,s316,s513,s488,s479,s75,s76,s77,s95,s96,s97,s512,s28,s23,s66,s67,s68,s641,s13,s45,s414,s646,s81,s121,s122,s609,s25,s22,s624,s619,s631,s636,s647,s594]) ).

cnf(s649,plain,
    spl0_1,
    inference(rat,[],[s316,s75,s76,s77,s28,s641,s45,s410,s31,s237,s635,s94,s136,s640,s39,s228,s4,s474,s406,s610,s90,s91,s133,s46,s253,s78,s118,s119,s158,s638,s648,s645,s647,s636,s633,s619,s631,s624,s594]) ).

cnf(s650,plain,
    ~ spl0_46,
    inference(rat,[],[s580,s100,s138,s139,s649]) ).

cnf(s651,plain,
    ( ~ spl0_167
    | ~ spl0_18 ),
    inference(rat,[],[s32,s479,s583,s68,s67,s66,s650,s594]) ).

cnf(s652,plain,
    ~ spl0_4,
    inference(rat,[],[s7,s411,s512,s651,s326,s573,s92,s134,s135,s60,s569,s66,s67,s68,s13,s17,s384,s208,s200,s84,s125,s632,s619,s634,s628,s606,s594]) ).

cnf(s653,plain,
    ( ~ spl0_18
    | ~ spl0_8 ),
    inference(rat,[],[s512,s651,s66,s67]) ).

cnf(s654,plain,
    ( ~ spl0_12
    | ~ spl0_21
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(rat,[],[s164,s643,s642,s613]) ).

cnf(s655,plain,
    ( spl0_18
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(rat,[],[s361,s52,s641,s635,s45,s639,s614,s654,s29,s560,s555,s78,s119,s9,s158,s619,s594,s652]) ).

cnf(s656,plain,
    ( ~ spl0_5
    | ~ spl0_6 ),
    inference(rat,[],[s550,s491,s88,s129,s130,s164,s605,s642,s7,s5,s411,s653,s651,s66,s68,s655,s652,s594,s650]) ).

cnf(s657,plain,
    ( ~ spl0_8
    | spl0_5 ),
    inference(rat,[],[s246,s106,s107,s108,s159,s610,s616,s22,s609,s6,s516,s652,s594]) ).

cnf(s658,plain,
    ( ~ spl0_30
    | ~ spl0_15
    | ~ spl0_12 ),
    inference(rat,[],[s550,s491,s88,s129,s130]) ).

cnf(s659,plain,
    ( ~ spl0_15
    | ~ spl0_6 ),
    inference(rat,[],[s327,s201,s38,s116,s117,s610,s617,s22,s609,s6,s601,s164,s658,s605,s5,s657,s656,s650,s594,s652]) ).

cnf(s660,plain,
    ( ~ spl0_36
    | ~ spl0_12 ),
    inference(rat,[],[s449,s101,s140,s141]) ).

cnf(s661,plain,
    ( ~ spl0_38
    | ~ spl0_37 ),
    inference(rat,[],[s481,s98,s99,s137]) ).

cnf(s662,plain,
    ~ spl0_6,
    inference(rat,[],[s218,s207,s81,s122,s61,s616,s21,s661,s20,s660,s659,s5,s657,s656,s594,s652]) ).

cnf(s663,plain,
    ~ spl0_29,
    inference(rat,[],[s409,s542,s152,s153,s154,s49,s635,s649,s662,s594]) ).

cnf(s664,plain,
    ( spl0_45
    | spl0_18 ),
    inference(rat,[],[s639,s263,s560,s402,s78,s118,s119,s158,s649,s663]) ).

cnf(s665,plain,
    ~ spl0_8,
    inference(rat,[],[s664,s619,s653,s657]) ).

cnf(s666,plain,
    spl0_12,
    inference(rat,[],[s5,s652,s594,s665]) ).

cnf(s667,plain,
    spl0_9,
    inference(rat,[],[s3,s662,s594,s665]) ).

cnf(s670,plain,
    ~ spl0_33,
    inference(rat,[],[s230,s662,s667]) ).

cnf(s673,plain,
    spl0_32,
    inference(rat,[],[s18,s663,s594,s670]) ).

cnf(s676,plain,
    spl0_150,
    inference(rat,[],[s148,s673]) ).

cnf(s677,plain,
    spl0_149,
    inference(rat,[],[s147,s673]) ).

cnf(s678,plain,
    spl0_148,
    inference(rat,[],[s146,s673]) ).

cnf(s680,plain,
    ~ spl0_174,
    inference(rat,[],[s274,s667,s677,s678]) ).

cnf(s683,plain,
    ~ spl0_25,
    inference(rat,[],[s272,s678,s677,s680]) ).

cnf(s684,plain,
    ~ spl0_2,
    inference(rat,[],[s407,s678,s676,s680]) ).

cnf(s690,plain,
    spl0_26,
    inference(rat,[],[s15,s683,s594,s684]) ).

cnf(s697,plain,
    spl0_153,
    inference(rat,[],[s151,s690]) ).

cnf(s698,plain,
    spl0_152,
    inference(rat,[],[s150,s690]) ).

cnf(s699,plain,
    spl0_151,
    inference(rat,[],[s149,s690]) ).

cnf(s703,plain,
    spl0_172,
    inference(rat,[],[s377,s666,s697,s698]) ).

cnf(s704,plain,
    $false,
    inference(rat,[],[s369,s703,s667,s698,s699]) ).

fof(f2263,plain,
    $false,
    inference(avatar_sat_refutation,[],[s704]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN470-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20  % Computer : n013.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 16:10:33 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.88/0.78  % (1302492)Input is clausal, will run a generic CNF schedule.
% 1.88/0.78  % (1302550)dis-21_1_sil=8000:lcm=predicate:random_seed=3310513590: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)
% 1.88/0.78  % (1302550)First to succeed.
% 1.88/0.78  % (1302550)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1302492"
% 1.88/0.78  % (1302545)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3273627535:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.88/0.78  % (1302542)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=82494295:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.88/0.78  % (1302543)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=387984879:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.88/0.78  % (1302546)lrs+10_1_sil=8000:sp=occurrence:random_seed=2144550564:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.88/0.78  % (1302548)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1170241216:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.88/0.78  % (1302547)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2086549354:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.88/0.78  % (1302548)Also succeeded, but the first one will report.
% 1.88/0.78  % (1302546)Also succeeded, but the first one will report.
% 1.88/0.78  % (1302547)Also succeeded, but the first one will report.
% 1.88/0.78  % (1302550)Refutation found. Thanks to Tanya!
% 1.88/0.78  % SZS status Unsatisfiable for theBenchmark
% 1.88/0.78  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.90  % (1302550)------------------------------
% 0.20/0.90  % (1302550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/0.90  % (1302550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.90  % (1302550)CaDiCaL version: 2.1.3
% 0.20/0.90  % (1302550)Termination reason: Refutation
% 0.20/0.90  % (1302550)Time elapsed: 0.019 s
% 0.20/0.90  % (1302550)Peak memory usage: 90 MB
% 0.20/0.90  % (1302550)Instructions burned: 55 (million)
% 0.20/0.90  % (1302550)------------------------------
% 0.20/0.90  % (1302550)------------------------------
% 0.20/0.90  % (1302492)Success in time 0.325 s
% 0.20/0.90  % Vampire exiting
%------------------------------------------------------------------------------