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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN472-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:10:55 PM UTC 2026

% Result   : Unsatisfiable 0.25s 0.37s
% Output   : Refutation 0.25s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( ~ hskp30
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f11,negated_conjecture,
    ( ~ hskp20
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).

fof(f30,negated_conjecture,
    ( ~ hskp1
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).

fof(f35,negated_conjecture,
    ( hskp29
    | hskp7
    | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

fof(f37,negated_conjecture,
    ( hskp23
    | hskp18
    | hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ( hskp13
    | hskp20
    | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ( ~ hskp30
    | c1_1(a733) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ( ~ hskp30
    | c2_1(a733) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( ~ hskp30
    | c3_1(a733) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( ~ hskp29
    | c0_1(a713) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp29
    | c2_1(a713) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp29
    | c3_1(a713) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp28
    | c0_1(a695) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f48,negated_conjecture,
    ( ~ hskp28
    | c2_1(a695) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp27
    | c0_1(a691) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f51,negated_conjecture,
    ( ~ hskp27
    | c3_1(a691) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f56,negated_conjecture,
    ( ~ hskp23
    | c0_1(a763) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( ~ hskp22
    | c1_1(a761) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( ~ hskp21
    | c1_1(a760) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp21
    | c3_1(a760) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp20
    | c2_1(a754) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp19
    | c0_1(a752) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp18
    | c0_1(a751) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp16
    | c2_1(a738) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp16
    | c3_1(a738) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( ~ hskp15
    | c3_1(a734) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( ~ hskp14
    | c0_1(a730) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( ~ hskp14
    | c1_1(a730) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp13
    | c1_1(a726) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp11
    | c0_1(a722) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp11
    | c3_1(a722) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp10
    | c1_1(a717) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp10
    | c3_1(a717) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp8
    | c2_1(a710) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp8
    | c3_1(a710) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp7
    | c1_1(a708) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp7
    | c2_1(a708) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp6
    | c0_1(a702) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp6
    | c3_1(a702) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp5
    | c0_1(a701) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp5
    | c2_1(a701) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp3
    | c0_1(a697) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp3
    | c2_1(a697) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ hskp2
    | c0_1(a696) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ hskp2
    | c1_1(a696) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ hskp1
    | c2_1(a693) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( ~ hskp0
    | c2_1(a692) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f92,negated_conjecture,
    ( ~ c1_1(a763)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ c2_1(a763)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ c0_1(a761)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ c2_1(a761)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ c0_1(a760)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ c0_1(a754)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ c3_1(a754)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c2_1(a752)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c3_1(a752)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ c1_1(a751)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ c3_1(a751)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ c1_1(a744)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ c2_1(a744)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ c3_1(a744)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c1_1(a738)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c1_1(a734)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c2_1(a734)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ c3_1(a730)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c0_1(a726)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ c3_1(a726)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ c0_1(a725)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ c1_1(a725)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c3_1(a725)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c1_1(a722)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c2_1(a717)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f120,negated_conjecture,
    ( ~ c0_1(a710)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c3_1(a708)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c2_1(a702)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ c1_1(a701)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ c0_1(a698)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ c2_1(a698)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f127,negated_conjecture,
    ( ~ c3_1(a697)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ c2_1(a696)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ c1_1(a693)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ c3_1(a693)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ( ~ c0_1(a692)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( ~ c1_1(a692)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f134,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp27
      | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f135,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp2
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f136,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp5
      | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f138,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp3
      | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f140,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp3
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f141,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp14
      | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp14
      | hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp15
      | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f146,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp7
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f147,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp5
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp18
      | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f149,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp16
      | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f151,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp16
      | hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f152,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp21
      | hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f157,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f158,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f159,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f162,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

fof(f163,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f164,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f165,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f167,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f171,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f173,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f175,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f178,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f180,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f184,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | c0_1(X2)
      | c2_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f186,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c2_1(X1)
      | hskp28 ),
    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)
      | ~ c2_1(X1)
      | c3_1(X1)
      | hskp3 ),
    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
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

fof(f189,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | c1_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

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

fof(f191,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X2)
      | c3_1(X0)
      | c1_1(X1)
      | c3_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)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X2)
      | c2_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).

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

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

fof(f195,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c0_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
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | c3_1(X0)
      | c1_1(X1)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).

fof(f197,plain,
    ( ~ hskp30
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f1]) ).

fof(f207,plain,
    ( hskp20
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f11]) ).

fof(f226,plain,
    ( ~ hskp1
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f30]) ).

fof(f231,plain,
    ( hskp29
    | ~ hskp7
    | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f35]) ).

fof(f233,plain,
    ( ~ hskp23
    | hskp18
    | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f37]) ).

fof(f234,plain,
    ( hskp30
    | ~ hskp20
    | hskp1 ),
    inference(consistent_polarity_flipping,[],[f38]) ).

fof(f235,plain,
    ( ~ hskp13
    | ~ hskp20
    | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f39]) ).

fof(f236,plain,
    ( ~ hskp30
    | ~ c2_1(a733) ),
    inference(consistent_polarity_flipping,[],[f41]) ).

fof(f237,plain,
    ( ~ hskp30
    | ~ c3_1(a733) ),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f238,plain,
    ( ~ hskp29
    | ~ c0_1(a713) ),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f239,plain,
    ( ~ hskp29
    | ~ c2_1(a713) ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f240,plain,
    ( ~ hskp29
    | ~ c3_1(a713) ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f241,plain,
    ( ~ hskp28
    | ~ c0_1(a695) ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f242,plain,
    ( ~ hskp28
    | ~ c2_1(a695) ),
    inference(consistent_polarity_flipping,[],[f48]) ).

fof(f243,plain,
    ( hskp27
    | ~ c0_1(a691) ),
    inference(consistent_polarity_flipping,[],[f49]) ).

fof(f245,plain,
    ( hskp27
    | ~ c3_1(a691) ),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f250,plain,
    ( hskp23
    | ~ c0_1(a763) ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f251,plain,
    ( hskp21
    | c1_1(a760) ),
    inference(consistent_polarity_flipping,[],[f58]) ).

fof(f252,plain,
    ( hskp21
    | ~ c3_1(a760) ),
    inference(consistent_polarity_flipping,[],[f59]) ).

fof(f253,plain,
    ( hskp20
    | ~ c2_1(a754) ),
    inference(consistent_polarity_flipping,[],[f60]) ).

fof(f254,plain,
    ( ~ hskp19
    | ~ c0_1(a752) ),
    inference(consistent_polarity_flipping,[],[f61]) ).

fof(f255,plain,
    ( ~ hskp18
    | ~ c0_1(a751) ),
    inference(consistent_polarity_flipping,[],[f62]) ).

fof(f256,plain,
    ( hskp16
    | ~ c2_1(a738) ),
    inference(consistent_polarity_flipping,[],[f63]) ).

fof(f257,plain,
    ( hskp16
    | ~ c3_1(a738) ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f258,plain,
    ( ~ hskp15
    | ~ c3_1(a734) ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f259,plain,
    ( ~ hskp14
    | ~ c0_1(a730) ),
    inference(consistent_polarity_flipping,[],[f66]) ).

fof(f260,plain,
    ( hskp13
    | c1_1(a726) ),
    inference(consistent_polarity_flipping,[],[f68]) ).

fof(f261,plain,
    ( ~ hskp11
    | ~ c0_1(a722) ),
    inference(consistent_polarity_flipping,[],[f69]) ).

fof(f262,plain,
    ( ~ hskp11
    | ~ c3_1(a722) ),
    inference(consistent_polarity_flipping,[],[f70]) ).

fof(f263,plain,
    ( hskp10
    | c1_1(a717) ),
    inference(consistent_polarity_flipping,[],[f71]) ).

fof(f264,plain,
    ( hskp10
    | ~ c3_1(a717) ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f265,plain,
    ( ~ hskp8
    | ~ c2_1(a710) ),
    inference(consistent_polarity_flipping,[],[f73]) ).

fof(f266,plain,
    ( ~ hskp8
    | ~ c3_1(a710) ),
    inference(consistent_polarity_flipping,[],[f74]) ).

fof(f267,plain,
    ( hskp7
    | c1_1(a708) ),
    inference(consistent_polarity_flipping,[],[f75]) ).

fof(f268,plain,
    ( hskp7
    | ~ c2_1(a708) ),
    inference(consistent_polarity_flipping,[],[f76]) ).

fof(f269,plain,
    ( hskp6
    | ~ c0_1(a702) ),
    inference(consistent_polarity_flipping,[],[f77]) ).

fof(f270,plain,
    ( hskp6
    | ~ c3_1(a702) ),
    inference(consistent_polarity_flipping,[],[f78]) ).

fof(f271,plain,
    ( ~ hskp5
    | ~ c0_1(a701) ),
    inference(consistent_polarity_flipping,[],[f79]) ).

fof(f272,plain,
    ( ~ hskp5
    | ~ c2_1(a701) ),
    inference(consistent_polarity_flipping,[],[f80]) ).

fof(f273,plain,
    ( ~ hskp3
    | ~ c0_1(a697) ),
    inference(consistent_polarity_flipping,[],[f81]) ).

fof(f274,plain,
    ( ~ hskp3
    | ~ c2_1(a697) ),
    inference(consistent_polarity_flipping,[],[f82]) ).

fof(f275,plain,
    ( hskp2
    | ~ c0_1(a696) ),
    inference(consistent_polarity_flipping,[],[f83]) ).

fof(f276,plain,
    ( hskp2
    | c1_1(a696) ),
    inference(consistent_polarity_flipping,[],[f84]) ).

fof(f277,plain,
    ( ~ hskp1
    | ~ c2_1(a693) ),
    inference(consistent_polarity_flipping,[],[f85]) ).

fof(f278,plain,
    ( hskp0
    | ~ c2_1(a692) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f284,plain,
    ( ~ c1_1(a763)
    | hskp23 ),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f285,plain,
    ( c2_1(a763)
    | hskp23 ),
    inference(consistent_polarity_flipping,[],[f93]) ).

fof(f286,plain,
    ( c0_1(a761)
    | ~ hskp22 ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f287,plain,
    ( c2_1(a761)
    | ~ hskp22 ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f288,plain,
    ( c0_1(a760)
    | hskp21 ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f289,plain,
    ( c0_1(a754)
    | hskp20 ),
    inference(consistent_polarity_flipping,[],[f97]) ).

fof(f290,plain,
    ( c3_1(a754)
    | hskp20 ),
    inference(consistent_polarity_flipping,[],[f98]) ).

fof(f291,plain,
    ( c2_1(a752)
    | ~ hskp19 ),
    inference(consistent_polarity_flipping,[],[f99]) ).

fof(f292,plain,
    ( c3_1(a752)
    | ~ hskp19 ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f293,plain,
    ( c3_1(a751)
    | ~ hskp18 ),
    inference(consistent_polarity_flipping,[],[f102]) ).

fof(f294,plain,
    ( ~ c1_1(a744)
    | hskp17 ),
    inference(consistent_polarity_flipping,[],[f103]) ).

fof(f295,plain,
    ( c2_1(a744)
    | hskp17 ),
    inference(consistent_polarity_flipping,[],[f104]) ).

fof(f296,plain,
    ( c3_1(a744)
    | hskp17 ),
    inference(consistent_polarity_flipping,[],[f105]) ).

fof(f297,plain,
    ( ~ c1_1(a738)
    | hskp16 ),
    inference(consistent_polarity_flipping,[],[f106]) ).

fof(f298,plain,
    ( c2_1(a734)
    | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f108]) ).

fof(f299,plain,
    ( c3_1(a730)
    | ~ hskp14 ),
    inference(consistent_polarity_flipping,[],[f109]) ).

fof(f300,plain,
    ( c0_1(a726)
    | hskp13 ),
    inference(consistent_polarity_flipping,[],[f110]) ).

fof(f301,plain,
    ( c3_1(a726)
    | hskp13 ),
    inference(consistent_polarity_flipping,[],[f111]) ).

fof(f302,plain,
    ( c0_1(a725)
    | hskp12 ),
    inference(consistent_polarity_flipping,[],[f112]) ).

fof(f303,plain,
    ( ~ c1_1(a725)
    | hskp12 ),
    inference(consistent_polarity_flipping,[],[f113]) ).

fof(f304,plain,
    ( c3_1(a725)
    | hskp12 ),
    inference(consistent_polarity_flipping,[],[f114]) ).

fof(f305,plain,
    ( c2_1(a717)
    | hskp10 ),
    inference(consistent_polarity_flipping,[],[f116]) ).

fof(f308,plain,
    ( c0_1(a710)
    | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f120]) ).

fof(f309,plain,
    ( c3_1(a708)
    | hskp7 ),
    inference(consistent_polarity_flipping,[],[f121]) ).

fof(f310,plain,
    ( c2_1(a702)
    | hskp6 ),
    inference(consistent_polarity_flipping,[],[f122]) ).

fof(f311,plain,
    ( c0_1(a698)
    | ~ hskp4 ),
    inference(consistent_polarity_flipping,[],[f124]) ).

fof(f312,plain,
    ( c2_1(a698)
    | ~ hskp4 ),
    inference(consistent_polarity_flipping,[],[f125]) ).

fof(f314,plain,
    ( c3_1(a697)
    | ~ hskp3 ),
    inference(consistent_polarity_flipping,[],[f127]) ).

fof(f315,plain,
    ( c2_1(a696)
    | hskp2 ),
    inference(consistent_polarity_flipping,[],[f128]) ).

fof(f316,plain,
    ( c3_1(a693)
    | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f317,plain,
    ( c0_1(a692)
    | hskp0 ),
    inference(consistent_polarity_flipping,[],[f131]) ).

fof(f318,plain,
    ( ~ c1_1(a692)
    | hskp0 ),
    inference(consistent_polarity_flipping,[],[f132]) ).

fof(f320,plain,
    ! [X0] :
      ( ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ hskp27
      | ~ hskp6 ),
    inference(consistent_polarity_flipping,[],[f134]) ).

fof(f321,plain,
    ! [X0] :
      ( ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ hskp2
      | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f135]) ).

fof(f322,plain,
    ! [X0] :
      ( ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | hskp5
      | hskp8 ),
    inference(consistent_polarity_flipping,[],[f136]) ).

fof(f324,plain,
    ! [X0] :
      ( c2_1(X0)
      | ndr1_0
      | ~ c0_1(X0)
      | c1_1(X0)
      | hskp3
      | hskp4 ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f326,plain,
    ! [X0] :
      ( c3_1(X0)
      | ndr1_0
      | c1_1(X0)
      | ~ c2_1(X0)
      | hskp3
      | hskp1 ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f327,plain,
    ! [X0] :
      ( c0_1(X0)
      | ndr1_0
      | c1_1(X0)
      | ~ c3_1(X0)
      | hskp14
      | hskp3 ),
    inference(consistent_polarity_flipping,[],[f141]) ).

fof(f328,plain,
    ! [X0] :
      ( c0_1(X0)
      | ndr1_0
      | c1_1(X0)
      | ~ c3_1(X0)
      | hskp14
      | hskp30 ),
    inference(consistent_polarity_flipping,[],[f142]) ).

fof(f329,plain,
    ! [X0] :
      ( c0_1(X0)
      | ndr1_0
      | c1_1(X0)
      | ~ c3_1(X0)
      | hskp15
      | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f332,plain,
    ! [X0] :
      ( c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c1_1(X0)
      | ~ hskp7
      | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f146]) ).

fof(f333,plain,
    ! [X0] :
      ( c0_1(X0)
      | ~ c1_1(X0)
      | ndr1_0
      | ~ c2_1(X0)
      | hskp5
      | hskp1 ),
    inference(consistent_polarity_flipping,[],[f147]) ).

fof(f334,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c2_1(X0)
      | hskp18
      | hskp19 ),
    inference(consistent_polarity_flipping,[],[f148]) ).

fof(f335,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c2_1(X0)
      | ~ hskp16
      | ~ hskp20 ),
    inference(consistent_polarity_flipping,[],[f149]) ).

fof(f337,plain,
    ! [X0] :
      ( c0_1(X0)
      | ~ c1_1(X0)
      | ndr1_0
      | ~ c3_1(X0)
      | ~ hskp16
      | hskp15 ),
    inference(consistent_polarity_flipping,[],[f151]) ).

fof(f338,plain,
    ! [X0] :
      ( c0_1(X0)
      | c2_1(X0)
      | ndr1_0
      | ~ c3_1(X0)
      | ~ hskp21
      | hskp22 ),
    inference(consistent_polarity_flipping,[],[f152]) ).

fof(f343,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ hskp6 ),
    inference(consistent_polarity_flipping,[],[f157]) ).

fof(f344,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ndr1_0
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | c1_1(X1)
      | ~ hskp27 ),
    inference(consistent_polarity_flipping,[],[f158]) ).

fof(f345,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | ndr1_0
      | c2_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | c1_1(X1)
      | hskp28 ),
    inference(consistent_polarity_flipping,[],[f159]) ).

fof(f348,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f162]) ).

fof(f349,plain,
    ! [X0,X1] :
      ( c3_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | hskp29 ),
    inference(consistent_polarity_flipping,[],[f163]) ).

fof(f350,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | ndr1_0
      | c3_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | hskp5 ),
    inference(consistent_polarity_flipping,[],[f164]) ).

fof(f351,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ndr1_0
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ hskp6 ),
    inference(consistent_polarity_flipping,[],[f165]) ).

fof(f353,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | ndr1_0
      | c3_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f355,plain,
    ! [X0,X1] :
      ( c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c2_1(X1)
      | c1_1(X0)
      | ~ c0_1(X1)
      | c1_1(X1)
      | ~ hskp2 ),
    inference(consistent_polarity_flipping,[],[f169]) ).

fof(f357,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f171]) ).

fof(f359,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | ndr1_0
      | c2_1(X1)
      | c3_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f173]) ).

fof(f361,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c0_1(X1)
      | ~ c2_1(X0)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f175]) ).

fof(f364,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c2_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | hskp8 ),
    inference(consistent_polarity_flipping,[],[f178]) ).

fof(f366,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c2_1(X1)
      | c1_1(X1)
      | ~ c3_1(X1)
      | hskp14 ),
    inference(consistent_polarity_flipping,[],[f180]) ).

fof(f367,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | ~ c3_1(X0)
      | c1_1(X1)
      | ~ hskp16 ),
    inference(consistent_polarity_flipping,[],[f181]) ).

fof(f368,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | hskp30 ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f369,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | ~ c1_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f183]) ).

fof(f370,plain,
    ! [X2,X0,X1] :
      ( ndr1_0
      | ~ c1_1(X0)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X2)
      | ~ c2_1(X2)
      | ~ c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f184]) ).

fof(f372,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c0_1(X1)
      | c3_1(X1)
      | ~ c2_1(X1)
      | hskp28 ),
    inference(consistent_polarity_flipping,[],[f186]) ).

fof(f373,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | ~ c3_1(X1)
      | hskp3 ),
    inference(consistent_polarity_flipping,[],[f187]) ).

fof(f374,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ hskp20 ),
    inference(consistent_polarity_flipping,[],[f188]) ).

fof(f375,plain,
    ! [X2,X0,X1] :
      ( c2_1(X0)
      | ndr1_0
      | c3_1(X1)
      | c3_1(X2)
      | c1_1(X0)
      | ~ c3_1(X0)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X2)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f189]) ).

fof(f376,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | ndr1_0
      | c0_1(X1)
      | c2_1(X2)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X2)
      | ~ c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f190]) ).

fof(f377,plain,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c0_1(X1)
      | c2_1(X2)
      | ~ c3_1(X0)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X2)
      | c1_1(X2) ),
    inference(consistent_polarity_flipping,[],[f191]) ).

fof(f378,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c2_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X2)
      | ~ c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f192]) ).

fof(f379,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X2)
      | ~ c2_1(X2)
      | ~ c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f193]) ).

fof(f380,plain,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X2)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f194]) ).

fof(f381,plain,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ndr1_0
      | c2_1(X1)
      | c3_1(X1)
      | c2_1(X2)
      | c3_1(X2)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X1)
      | ~ c0_1(X2) ),
    inference(consistent_polarity_flipping,[],[f195]) ).

fof(f382,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | ~ c1_1(X0)
      | ndr1_0
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X2)
      | ~ c3_1(X0)
      | c1_1(X1)
      | c1_1(X2)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f196]) ).

fof(f384,definition,
    ( spl0_1
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f385,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f387,definition,
    ( spl0_2
  <=> ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f388,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f390,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f394,definition,
    ( spl0_4
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f395,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f396,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f382,f394,f390,f387,f384]) ).

fof(f398,definition,
    ( spl0_5
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c0_1(X2)
        | c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f399,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | c2_1(X2)
        | c3_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f401,definition,
    ( spl0_6
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f402,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f403,plain,
    ( spl0_5
    | spl0_2
    | spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f381,f401,f390,f387,f398]) ).

fof(f405,definition,
    ( spl0_7
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f406,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f408,definition,
    ( spl0_8
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f409,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f410,plain,
    ( spl0_7
    | spl0_4
    | spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f380,f408,f390,f394,f405]) ).

fof(f412,definition,
    ( spl0_9
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f413,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | ~ c3_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f415,definition,
    ( spl0_10
  <=> ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f416,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f417,plain,
    ( spl0_9
    | spl0_4
    | spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f379,f415,f390,f394,f412]) ).

fof(f419,definition,
    ( spl0_11
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f420,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | ~ c3_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f422,definition,
    ( spl0_12
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f423,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f425,definition,
    ( spl0_13
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f426,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f427,plain,
    ( spl0_11
    | spl0_12
    | spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f378,f425,f390,f422,f419]) ).

fof(f429,definition,
    ( spl0_14
  <=> ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f430,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f432,definition,
    ( spl0_15
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f433,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f434,plain,
    ( spl0_14
    | spl0_15
    | spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f377,f408,f390,f432,f429]) ).

fof(f436,definition,
    ( spl0_16
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f437,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f439,definition,
    ( spl0_17
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f440,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f441,plain,
    ( spl0_12
    | spl0_16
    | spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f376,f439,f390,f436,f422]) ).

fof(f443,definition,
    ( spl0_18
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f444,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f446,definition,
    ( spl0_19
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f447,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f448,plain,
    ( spl0_18
    | spl0_1
    | spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f375,f446,f390,f384,f443]) ).

fof(f450,definition,
    ( spl0_20
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f453,plain,
    ( ~ spl0_20
    | spl0_8
    | spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f374,f415,f390,f408,f450]) ).

fof(f455,definition,
    ( spl0_21
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f459,definition,
    ( spl0_22
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f460,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f462,definition,
    ( spl0_23
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f463,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f464,plain,
    ( spl0_21
    | spl0_22
    | spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f373,f462,f390,f459,f455]) ).

fof(f466,definition,
    ( spl0_24
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f469,plain,
    ( spl0_24
    | spl0_13
    | spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f372,f462,f390,f425,f466]) ).

fof(f471,definition,
    ( spl0_25
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f479,definition,
    ( spl0_27
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f480,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f481,plain,
    ( spl0_9
    | spl0_27
    | spl0_7
    | spl0_3 ),
    inference(avatar_split_clause,[],[f370,f390,f405,f479,f412]) ).

fof(f483,definition,
    ( spl0_28
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f487,definition,
    ( spl0_29
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f488,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f489,plain,
    ( ~ spl0_28
    | spl0_29
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f369,f394,f390,f487,f483]) ).

fof(f491,definition,
    ( spl0_30
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f494,plain,
    ( spl0_30
    | spl0_6
    | spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f368,f415,f390,f401,f491]) ).

fof(f496,definition,
    ( spl0_31
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f500,definition,
    ( spl0_32
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f501,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f502,plain,
    ( ~ spl0_31
    | spl0_32
    | spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f367,f408,f390,f500,f496]) ).

fof(f504,definition,
    ( spl0_33
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f507,plain,
    ( spl0_33
    | spl0_19
    | spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f366,f415,f390,f446,f504]) ).

fof(f509,definition,
    ( spl0_34
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f516,definition,
    ( spl0_36
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f517,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f519,plain,
    ( spl0_25
    | spl0_12
    | spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f364,f462,f390,f422,f471]) ).

fof(f523,definition,
    ( spl0_37
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f526,plain,
    ( ~ spl0_37
    | spl0_15
    | spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f361,f425,f390,f432,f523]) ).

fof(f528,definition,
    ( spl0_38
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f533,definition,
    ( spl0_39
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f536,plain,
    ( spl0_39
    | spl0_5
    | spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f359,f439,f390,f398,f533]) ).

fof(f538,definition,
    ( spl0_40
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f542,definition,
    ( spl0_41
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f543,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f546,definition,
    ( spl0_42
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f549,plain,
    ( ~ spl0_42
    | spl0_12
    | spl0_3
    | spl0_41 ),
    inference(avatar_split_clause,[],[f357,f542,f390,f422,f546]) ).

fof(f551,definition,
    ( spl0_43
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f556,definition,
    ( spl0_44
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f559,plain,
    ( ~ spl0_44
    | spl0_14
    | spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f355,f387,f390,f429,f556]) ).

fof(f562,definition,
    ( spl0_45
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f565,plain,
    ( ~ spl0_45
    | spl0_1
    | spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f353,f432,f390,f384,f562]) ).

fof(f568,definition,
    ( spl0_46
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f571,plain,
    ( ~ spl0_46
    | spl0_12
    | spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f351,f401,f390,f422,f568]) ).

fof(f572,plain,
    ( spl0_34
    | spl0_18
    | spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f350,f436,f390,f443,f509]) ).

fof(f573,plain,
    ( spl0_43
    | spl0_7
    | spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f349,f384,f390,f405,f551]) ).

fof(f574,plain,
    ( ~ spl0_37
    | spl0_9
    | spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f348,f425,f390,f412,f523]) ).

fof(f580,plain,
    ( spl0_24
    | spl0_14
    | spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f345,f436,f390,f429,f466]) ).

fof(f582,definition,
    ( spl0_48
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f585,plain,
    ( ~ spl0_48
    | spl0_14
    | spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f344,f405,f390,f429,f582]) ).

fof(f586,plain,
    ( ~ spl0_46
    | spl0_9
    | spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f343,f419,f390,f412,f568]) ).

fof(f593,definition,
    ( spl0_50
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f602,definition,
    ( spl0_52
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f610,definition,
    ( spl0_54
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f614,definition,
    ( spl0_55
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f617,plain,
    ( spl0_54
    | ~ spl0_55
    | spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f338,f459,f390,f614,f610]) ).

fof(f619,definition,
    ( spl0_56
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f622,plain,
    ( spl0_56
    | ~ spl0_31
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f337,f394,f390,f496,f619]) ).

fof(f624,definition,
    ( spl0_57
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f628,plain,
    ( ~ spl0_20
    | ~ spl0_31
    | spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f335,f487,f390,f496,f450]) ).

fof(f630,definition,
    ( spl0_58
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f633,plain,
    ( spl0_58
    | spl0_50
    | spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f334,f487,f390,f593,f630]) ).

fof(f635,definition,
    ( spl0_59
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f638,plain,
    ( spl0_59
    | spl0_34
    | spl0_3
    | spl0_36 ),
    inference(avatar_split_clause,[],[f333,f516,f390,f509,f635]) ).

fof(f639,plain,
    ( ~ spl0_45
    | ~ spl0_57
    | spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f332,f387,f390,f624,f562]) ).

fof(f642,plain,
    ( ~ spl0_38
    | spl0_56
    | spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f329,f432,f390,f619,f528]) ).

fof(f643,plain,
    ( spl0_30
    | spl0_33
    | spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f328,f432,f390,f504,f491]) ).

fof(f644,plain,
    ( spl0_21
    | spl0_33
    | spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f327,f432,f390,f504,f455]) ).

fof(f645,plain,
    ( spl0_59
    | spl0_21
    | spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f326,f384,f390,f455,f635]) ).

fof(f647,plain,
    ( spl0_40
    | spl0_21
    | spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f324,f429,f390,f455,f538]) ).

fof(f653,plain,
    ( spl0_25
    | spl0_34
    | spl0_9
    | spl0_3 ),
    inference(avatar_split_clause,[],[f322,f390,f412,f509,f471]) ).

fof(f654,plain,
    ( ~ spl0_57
    | ~ spl0_44
    | spl0_9
    | spl0_3 ),
    inference(avatar_split_clause,[],[f321,f390,f412,f556,f624]) ).

fof(f655,plain,
    ( ~ spl0_46
    | ~ spl0_48
    | spl0_9
    | spl0_3 ),
    inference(avatar_split_clause,[],[f320,f390,f412,f582,f568]) ).

fof(f658,definition,
    ( spl0_61
  <=> c1_1(a692) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f660,plain,
    ( ~ c1_1(a692)
    | spl0_61 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f661,plain,
    ( spl0_37
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f318,f658,f523]) ).

fof(f663,definition,
    ( spl0_62
  <=> c0_1(a692) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f665,plain,
    ( c0_1(a692)
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f666,plain,
    ( spl0_37
    | spl0_62 ),
    inference(avatar_split_clause,[],[f317,f663,f523]) ).

fof(f668,definition,
    ( spl0_63
  <=> c3_1(a693) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f670,plain,
    ( c3_1(a693)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f671,plain,
    ( ~ spl0_59
    | spl0_63 ),
    inference(avatar_split_clause,[],[f316,f668,f635]) ).

fof(f673,definition,
    ( spl0_64
  <=> c1_1(a693) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f675,plain,
    ( ~ c1_1(a693)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f676,plain,
    ( ~ spl0_59
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f129,f673,f635]) ).

fof(f678,definition,
    ( spl0_65
  <=> c2_1(a696) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f680,plain,
    ( c2_1(a696)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f681,plain,
    ( spl0_44
    | spl0_65 ),
    inference(avatar_split_clause,[],[f315,f678,f556]) ).

fof(f683,definition,
    ( spl0_66
  <=> c3_1(a697) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f685,plain,
    ( c3_1(a697)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f686,plain,
    ( ~ spl0_21
    | spl0_66 ),
    inference(avatar_split_clause,[],[f314,f683,f455]) ).

fof(f693,definition,
    ( spl0_68
  <=> c2_1(a698) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f695,plain,
    ( c2_1(a698)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f696,plain,
    ( ~ spl0_40
    | spl0_68 ),
    inference(avatar_split_clause,[],[f312,f693,f538]) ).

fof(f698,definition,
    ( spl0_69
  <=> c0_1(a698) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f701,plain,
    ( ~ spl0_40
    | spl0_69 ),
    inference(avatar_split_clause,[],[f311,f698,f538]) ).

fof(f703,definition,
    ( spl0_70
  <=> c1_1(a701) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f705,plain,
    ( ~ c1_1(a701)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f703]) ).

fof(f706,plain,
    ( ~ spl0_34
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f123,f703,f509]) ).

fof(f708,definition,
    ( spl0_71
  <=> c2_1(a702) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f710,plain,
    ( c2_1(a702)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f711,plain,
    ( spl0_46
    | spl0_71 ),
    inference(avatar_split_clause,[],[f310,f708,f568]) ).

fof(f713,definition,
    ( spl0_72
  <=> c3_1(a708) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f715,plain,
    ( c3_1(a708)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f716,plain,
    ( spl0_57
    | spl0_72 ),
    inference(avatar_split_clause,[],[f309,f713,f624]) ).

fof(f718,definition,
    ( spl0_73
  <=> c0_1(a710) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f720,plain,
    ( c0_1(a710)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f718]) ).

fof(f721,plain,
    ( ~ spl0_25
    | spl0_73 ),
    inference(avatar_split_clause,[],[f308,f718,f471]) ).

fof(f738,definition,
    ( spl0_77
  <=> c2_1(a717) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f740,plain,
    ( c2_1(a717)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f741,plain,
    ( spl0_42
    | spl0_77 ),
    inference(avatar_split_clause,[],[f305,f738,f546]) ).

fof(f743,definition,
    ( spl0_78
  <=> c1_1(a722) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f745,plain,
    ( ~ c1_1(a722)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f746,plain,
    ( ~ spl0_39
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f115,f743,f533]) ).

fof(f748,definition,
    ( spl0_79
  <=> c3_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f750,plain,
    ( c3_1(a725)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f751,plain,
    ( spl0_38
    | spl0_79 ),
    inference(avatar_split_clause,[],[f304,f748,f528]) ).

fof(f753,definition,
    ( spl0_80
  <=> c1_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f755,plain,
    ( ~ c1_1(a725)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f756,plain,
    ( spl0_38
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f303,f753,f528]) ).

fof(f758,definition,
    ( spl0_81
  <=> c0_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f760,plain,
    ( c0_1(a725)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f761,plain,
    ( spl0_38
    | spl0_81 ),
    inference(avatar_split_clause,[],[f302,f758,f528]) ).

fof(f763,definition,
    ( spl0_82
  <=> c3_1(a726) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f765,plain,
    ( c3_1(a726)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f763]) ).

fof(f766,plain,
    ( spl0_45
    | spl0_82 ),
    inference(avatar_split_clause,[],[f301,f763,f562]) ).

fof(f768,definition,
    ( spl0_83
  <=> c0_1(a726) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f770,plain,
    ( c0_1(a726)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f771,plain,
    ( spl0_45
    | spl0_83 ),
    inference(avatar_split_clause,[],[f300,f768,f562]) ).

fof(f773,definition,
    ( spl0_84
  <=> c3_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f775,plain,
    ( c3_1(a730)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f776,plain,
    ( ~ spl0_33
    | spl0_84 ),
    inference(avatar_split_clause,[],[f299,f773,f504]) ).

fof(f778,definition,
    ( spl0_85
  <=> c2_1(a734) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f780,plain,
    ( c2_1(a734)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f781,plain,
    ( ~ spl0_56
    | spl0_85 ),
    inference(avatar_split_clause,[],[f298,f778,f619]) ).

fof(f783,definition,
    ( spl0_86
  <=> c1_1(a734) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f786,plain,
    ( ~ spl0_56
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f107,f783,f619]) ).

fof(f788,definition,
    ( spl0_87
  <=> c1_1(a738) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f790,plain,
    ( ~ c1_1(a738)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f788]) ).

fof(f791,plain,
    ( spl0_31
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f297,f788,f496]) ).

fof(f793,definition,
    ( spl0_88
  <=> c3_1(a744) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f795,plain,
    ( c3_1(a744)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f796,plain,
    ( spl0_28
    | spl0_88 ),
    inference(avatar_split_clause,[],[f296,f793,f483]) ).

fof(f798,definition,
    ( spl0_89
  <=> c2_1(a744) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f800,plain,
    ( c2_1(a744)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f798]) ).

fof(f801,plain,
    ( spl0_28
    | spl0_89 ),
    inference(avatar_split_clause,[],[f295,f798,f483]) ).

fof(f803,definition,
    ( spl0_90
  <=> c1_1(a744) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f805,plain,
    ( ~ c1_1(a744)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f803]) ).

fof(f806,plain,
    ( spl0_28
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f294,f803,f483]) ).

fof(f808,definition,
    ( spl0_91
  <=> c3_1(a751) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f810,plain,
    ( c3_1(a751)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f808]) ).

fof(f811,plain,
    ( ~ spl0_50
    | spl0_91 ),
    inference(avatar_split_clause,[],[f293,f808,f593]) ).

fof(f813,definition,
    ( spl0_92
  <=> c1_1(a751) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f815,plain,
    ( ~ c1_1(a751)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f813]) ).

fof(f816,plain,
    ( ~ spl0_50
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f101,f813,f593]) ).

fof(f818,definition,
    ( spl0_93
  <=> c3_1(a752) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f820,plain,
    ( c3_1(a752)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f821,plain,
    ( ~ spl0_58
    | spl0_93 ),
    inference(avatar_split_clause,[],[f292,f818,f630]) ).

fof(f823,definition,
    ( spl0_94
  <=> c2_1(a752) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f825,plain,
    ( c2_1(a752)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f826,plain,
    ( ~ spl0_58
    | spl0_94 ),
    inference(avatar_split_clause,[],[f291,f823,f630]) ).

fof(f828,definition,
    ( spl0_95
  <=> c3_1(a754) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f830,plain,
    ( c3_1(a754)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f831,plain,
    ( spl0_20
    | spl0_95 ),
    inference(avatar_split_clause,[],[f290,f828,f450]) ).

fof(f833,definition,
    ( spl0_96
  <=> c0_1(a754) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f835,plain,
    ( c0_1(a754)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f836,plain,
    ( spl0_20
    | spl0_96 ),
    inference(avatar_split_clause,[],[f289,f833,f450]) ).

fof(f838,definition,
    ( spl0_97
  <=> c0_1(a760) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f840,plain,
    ( c0_1(a760)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f841,plain,
    ( spl0_55
    | spl0_97 ),
    inference(avatar_split_clause,[],[f288,f838,f614]) ).

fof(f843,definition,
    ( spl0_98
  <=> c2_1(a761) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f845,plain,
    ( c2_1(a761)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f846,plain,
    ( ~ spl0_54
    | spl0_98 ),
    inference(avatar_split_clause,[],[f287,f843,f610]) ).

fof(f848,definition,
    ( spl0_99
  <=> c0_1(a761) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f850,plain,
    ( c0_1(a761)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f851,plain,
    ( ~ spl0_54
    | spl0_99 ),
    inference(avatar_split_clause,[],[f286,f848,f610]) ).

fof(f853,definition,
    ( spl0_100
  <=> c2_1(a763) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f855,plain,
    ( c2_1(a763)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f856,plain,
    ( spl0_52
    | spl0_100 ),
    inference(avatar_split_clause,[],[f285,f853,f602]) ).

fof(f858,definition,
    ( spl0_101
  <=> c1_1(a763) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f861,plain,
    ( spl0_52
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f284,f858,f602]) ).

fof(f896,definition,
    ( spl0_109
  <=> c2_1(a692) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f898,plain,
    ( ~ c2_1(a692)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f896]) ).

fof(f899,plain,
    ( ~ spl0_109
    | spl0_37 ),
    inference(avatar_split_clause,[],[f278,f523,f896]) ).

fof(f901,definition,
    ( spl0_110
  <=> c2_1(a693) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f904,plain,
    ( ~ spl0_110
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f277,f635,f901]) ).

fof(f906,definition,
    ( spl0_111
  <=> c1_1(a696) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f908,plain,
    ( c1_1(a696)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f909,plain,
    ( spl0_111
    | spl0_44 ),
    inference(avatar_split_clause,[],[f276,f556,f906]) ).

fof(f911,definition,
    ( spl0_112
  <=> c0_1(a696) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f913,plain,
    ( ~ c0_1(a696)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f914,plain,
    ( ~ spl0_112
    | spl0_44 ),
    inference(avatar_split_clause,[],[f275,f556,f911]) ).

fof(f916,definition,
    ( spl0_113
  <=> c2_1(a697) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f918,plain,
    ( ~ c2_1(a697)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f916]) ).

fof(f919,plain,
    ( ~ spl0_113
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f274,f455,f916]) ).

fof(f921,definition,
    ( spl0_114
  <=> c0_1(a697) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f923,plain,
    ( ~ c0_1(a697)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f921]) ).

fof(f924,plain,
    ( ~ spl0_114
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f273,f455,f921]) ).

fof(f926,definition,
    ( spl0_115
  <=> c2_1(a701) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f928,plain,
    ( ~ c2_1(a701)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f926]) ).

fof(f929,plain,
    ( ~ spl0_115
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f272,f509,f926]) ).

fof(f931,definition,
    ( spl0_116
  <=> c0_1(a701) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f933,plain,
    ( ~ c0_1(a701)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f931]) ).

fof(f934,plain,
    ( ~ spl0_116
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f271,f509,f931]) ).

fof(f936,definition,
    ( spl0_117
  <=> c3_1(a702) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f938,plain,
    ( ~ c3_1(a702)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f939,plain,
    ( ~ spl0_117
    | spl0_46 ),
    inference(avatar_split_clause,[],[f270,f568,f936]) ).

fof(f941,definition,
    ( spl0_118
  <=> c0_1(a702) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f944,plain,
    ( ~ spl0_118
    | spl0_46 ),
    inference(avatar_split_clause,[],[f269,f568,f941]) ).

fof(f946,definition,
    ( spl0_119
  <=> c2_1(a708) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f948,plain,
    ( ~ c2_1(a708)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f949,plain,
    ( ~ spl0_119
    | spl0_57 ),
    inference(avatar_split_clause,[],[f268,f624,f946]) ).

fof(f951,definition,
    ( spl0_120
  <=> c1_1(a708) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f953,plain,
    ( c1_1(a708)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f954,plain,
    ( spl0_120
    | spl0_57 ),
    inference(avatar_split_clause,[],[f267,f624,f951]) ).

fof(f956,definition,
    ( spl0_121
  <=> c3_1(a710) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f958,plain,
    ( ~ c3_1(a710)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f959,plain,
    ( ~ spl0_121
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f266,f471,f956]) ).

fof(f961,definition,
    ( spl0_122
  <=> c2_1(a710) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f963,plain,
    ( ~ c2_1(a710)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f964,plain,
    ( ~ spl0_122
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f265,f471,f961]) ).

fof(f966,definition,
    ( spl0_123
  <=> c3_1(a717) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f968,plain,
    ( ~ c3_1(a717)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f969,plain,
    ( ~ spl0_123
    | spl0_42 ),
    inference(avatar_split_clause,[],[f264,f546,f966]) ).

fof(f971,definition,
    ( spl0_124
  <=> c1_1(a717) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f973,plain,
    ( c1_1(a717)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f971]) ).

fof(f974,plain,
    ( spl0_124
    | spl0_42 ),
    inference(avatar_split_clause,[],[f263,f546,f971]) ).

fof(f976,definition,
    ( spl0_125
  <=> c3_1(a722) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f979,plain,
    ( ~ spl0_125
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f262,f533,f976]) ).

fof(f981,definition,
    ( spl0_126
  <=> c0_1(a722) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f983,plain,
    ( ~ c0_1(a722)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f981]) ).

fof(f984,plain,
    ( ~ spl0_126
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f261,f533,f981]) ).

fof(f986,definition,
    ( spl0_127
  <=> c1_1(a726) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f988,plain,
    ( c1_1(a726)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f989,plain,
    ( spl0_127
    | spl0_45 ),
    inference(avatar_split_clause,[],[f260,f562,f986]) ).

fof(f991,definition,
    ( spl0_128
  <=> c1_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f993,plain,
    ( c1_1(a730)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f991]) ).

fof(f994,plain,
    ( spl0_128
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f67,f504,f991]) ).

fof(f996,definition,
    ( spl0_129
  <=> c0_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f998,plain,
    ( ~ c0_1(a730)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f996]) ).

fof(f999,plain,
    ( ~ spl0_129
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f259,f504,f996]) ).

fof(f1001,definition,
    ( spl0_130
  <=> c3_1(a734) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f1003,plain,
    ( ~ c3_1(a734)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f1001]) ).

fof(f1004,plain,
    ( ~ spl0_130
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f258,f619,f1001]) ).

fof(f1006,definition,
    ( spl0_131
  <=> c3_1(a738) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f1008,plain,
    ( ~ c3_1(a738)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f1006]) ).

fof(f1009,plain,
    ( ~ spl0_131
    | spl0_31 ),
    inference(avatar_split_clause,[],[f257,f496,f1006]) ).

fof(f1011,definition,
    ( spl0_132
  <=> c2_1(a738) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f1013,plain,
    ( ~ c2_1(a738)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f1011]) ).

fof(f1014,plain,
    ( ~ spl0_132
    | spl0_31 ),
    inference(avatar_split_clause,[],[f256,f496,f1011]) ).

fof(f1016,definition,
    ( spl0_133
  <=> c0_1(a751) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f1019,plain,
    ( ~ spl0_133
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f255,f593,f1016]) ).

fof(f1021,definition,
    ( spl0_134
  <=> c0_1(a752) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f1023,plain,
    ( ~ c0_1(a752)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f1021]) ).

fof(f1024,plain,
    ( ~ spl0_134
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f254,f630,f1021]) ).

fof(f1026,definition,
    ( spl0_135
  <=> c2_1(a754) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f1029,plain,
    ( ~ spl0_135
    | spl0_20 ),
    inference(avatar_split_clause,[],[f253,f450,f1026]) ).

fof(f1031,definition,
    ( spl0_136
  <=> c3_1(a760) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f1033,plain,
    ( ~ c3_1(a760)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f1031]) ).

fof(f1034,plain,
    ( ~ spl0_136
    | spl0_55 ),
    inference(avatar_split_clause,[],[f252,f614,f1031]) ).

fof(f1036,definition,
    ( spl0_137
  <=> c1_1(a760) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f1038,plain,
    ( c1_1(a760)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f1036]) ).

fof(f1039,plain,
    ( spl0_137
    | spl0_55 ),
    inference(avatar_split_clause,[],[f251,f614,f1036]) ).

fof(f1041,definition,
    ( spl0_138
  <=> c1_1(a761) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f1044,plain,
    ( spl0_138
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f57,f610,f1041]) ).

fof(f1046,definition,
    ( spl0_139
  <=> c0_1(a763) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f1049,plain,
    ( ~ spl0_139
    | spl0_52 ),
    inference(avatar_split_clause,[],[f250,f602,f1046]) ).

fof(f1071,definition,
    ( spl0_144
  <=> c3_1(a691) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1074,plain,
    ( ~ spl0_144
    | spl0_48 ),
    inference(avatar_split_clause,[],[f245,f582,f1071]) ).

fof(f1081,definition,
    ( spl0_146
  <=> c0_1(a691) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1083,plain,
    ( ~ c0_1(a691)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f1081]) ).

fof(f1084,plain,
    ( ~ spl0_146
    | spl0_48 ),
    inference(avatar_split_clause,[],[f243,f582,f1081]) ).

fof(f1086,definition,
    ( spl0_147
  <=> c2_1(a695) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1088,plain,
    ( ~ c2_1(a695)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f1086]) ).

fof(f1089,plain,
    ( ~ spl0_147
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f242,f466,f1086]) ).

fof(f1096,definition,
    ( spl0_149
  <=> c0_1(a695) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1098,plain,
    ( ~ c0_1(a695)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f1096]) ).

fof(f1099,plain,
    ( ~ spl0_149
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f241,f466,f1096]) ).

fof(f1101,definition,
    ( spl0_150
  <=> c3_1(a713) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1103,plain,
    ( ~ c3_1(a713)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f1101]) ).

fof(f1104,plain,
    ( ~ spl0_150
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f240,f551,f1101]) ).

fof(f1106,definition,
    ( spl0_151
  <=> c2_1(a713) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1108,plain,
    ( ~ c2_1(a713)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f1106]) ).

fof(f1109,plain,
    ( ~ spl0_151
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f239,f551,f1106]) ).

fof(f1111,definition,
    ( spl0_152
  <=> c0_1(a713) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1113,plain,
    ( ~ c0_1(a713)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f1111]) ).

fof(f1114,plain,
    ( ~ spl0_152
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f238,f551,f1111]) ).

fof(f1116,definition,
    ( spl0_153
  <=> c3_1(a733) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1118,plain,
    ( ~ c3_1(a733)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f1116]) ).

fof(f1119,plain,
    ( ~ spl0_153
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f237,f491,f1116]) ).

fof(f1121,definition,
    ( spl0_154
  <=> c2_1(a733) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1123,plain,
    ( ~ c2_1(a733)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f1121]) ).

fof(f1124,plain,
    ( ~ spl0_154
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f236,f491,f1121]) ).

fof(f1126,definition,
    ( spl0_155
  <=> c1_1(a733) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1128,plain,
    ( c1_1(a733)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1126]) ).

fof(f1129,plain,
    ( spl0_155
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f40,f491,f1126]) ).

fof(f1130,plain,
    ( ~ spl0_38
    | ~ spl0_20
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f235,f562,f450,f528]) ).

fof(f1131,plain,
    ( spl0_59
    | ~ spl0_20
    | spl0_30 ),
    inference(avatar_split_clause,[],[f234,f491,f450,f635]) ).

fof(f1132,plain,
    ( ~ spl0_55
    | spl0_50
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f233,f602,f593,f614]) ).

fof(f1134,plain,
    ( ~ spl0_45
    | ~ spl0_57
    | spl0_43 ),
    inference(avatar_split_clause,[],[f231,f551,f624,f562]) ).

fof(f1139,plain,
    ( ~ spl0_3
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f226,f635,f390]) ).

fof(f1158,plain,
    ( ~ spl0_3
    | spl0_20 ),
    inference(avatar_split_clause,[],[f207,f450,f390]) ).

fof(f1168,plain,
    ( ~ spl0_3
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f197,f491,f390]) ).

fof(f1171,plain,
    ( c2_1(a738)
    | c3_1(a738)
    | ~ spl0_2
    | spl0_87 ),
    inference(resolution,[],[f388,f790]) ).

fof(f1173,plain,
    ( c2_1(a701)
    | c3_1(a701)
    | ~ spl0_2
    | spl0_70 ),
    inference(resolution,[],[f388,f705]) ).

fof(f1176,plain,
    ( c3_1(a701)
    | ~ spl0_2
    | spl0_70
    | spl0_115 ),
    inference(forward_subsumption_resolution,[],[f1173,f928]) ).

fof(f1178,plain,
    ( c3_1(a738)
    | ~ spl0_2
    | spl0_87
    | spl0_132 ),
    inference(forward_subsumption_resolution,[],[f1171,f1013]) ).

fof(f1191,plain,
    ( ~ c2_1(a761)
    | ~ c1_1(a761)
    | ~ spl0_7
    | ~ spl0_99 ),
    inference(resolution,[],[f406,f850]) ).

fof(f1193,plain,
    ( ~ c1_1(a761)
    | ~ spl0_7
    | ~ spl0_98
    | ~ spl0_99 ),
    inference(forward_subsumption_resolution,[],[f1191,f845]) ).

fof(f1196,plain,
    ( ~ c3_1(a725)
    | ~ c2_1(a725)
    | ~ spl0_9
    | ~ spl0_81 ),
    inference(resolution,[],[f413,f760]) ).

fof(f1200,plain,
    ( ~ c2_1(a725)
    | ~ spl0_9
    | ~ spl0_79
    | ~ spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1196,f750]) ).

fof(f1202,plain,
    ( c3_1(a713)
    | c2_1(a713)
    | ~ spl0_10
    | spl0_152 ),
    inference(resolution,[],[f416,f1113]) ).

fof(f1205,plain,
    ( c3_1(a701)
    | c2_1(a701)
    | ~ spl0_10
    | spl0_116 ),
    inference(resolution,[],[f416,f933]) ).

fof(f1206,plain,
    ( c2_1(a713)
    | ~ spl0_10
    | spl0_150
    | spl0_152 ),
    inference(forward_subsumption_resolution,[],[f1202,f1103]) ).

fof(f1209,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_2
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f447,f388]) ).

fof(f1213,definition,
    ( spl0_156
  <=> c1_1(a754) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1225,plain,
    ( c2_1(a693)
    | ~ spl0_2
    | ~ spl0_19
    | spl0_64 ),
    inference(resolution,[],[f1209,f675]) ).

fof(f1232,definition,
    ( spl0_157
  <=> c0_1(a693) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1234,plain,
    ( c0_1(a693)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1232]) ).

fof(f1237,plain,
    ( c0_1(a697)
    | ~ c1_1(a697)
    | ~ spl0_4
    | ~ spl0_66 ),
    inference(resolution,[],[f685,f395]) ).

fof(f1239,definition,
    ( spl0_158
  <=> c1_1(a697) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1240,plain,
    ( c1_1(a697)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1239]) ).

fof(f1241,plain,
    ( ~ c1_1(a697)
    | spl0_158 ),
    inference(avatar_component_clause,[],[f1239]) ).

fof(f1244,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f423,f413]) ).

fof(f1248,plain,
    ( ~ c3_1(a725)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_81 ),
    inference(resolution,[],[f1244,f760]) ).

fof(f1279,definition,
    ( spl0_161
  <=> c2_1(a726) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1281,plain,
    ( ~ c2_1(a726)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f1279]) ).

fof(f1291,plain,
    ( c2_1(a725)
    | ~ c0_1(a725)
    | ~ spl0_14
    | spl0_80 ),
    inference(resolution,[],[f430,f755]) ).

fof(f1292,plain,
    ( ~ c0_1(a725)
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_79
    | spl0_80
    | ~ spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1291,f1200]) ).

fof(f1295,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_79
    | spl0_80
    | ~ spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1292,f760]) ).

fof(f1296,plain,
    ( ~ spl0_9
    | ~ spl0_14
    | ~ spl0_79
    | spl0_80
    | ~ spl0_81 ),
    inference(avatar_contradiction_clause,[],[f1295]) ).

fof(f1298,plain,
    ( c0_1(a696)
    | c3_1(a696)
    | ~ spl0_13
    | ~ spl0_65 ),
    inference(resolution,[],[f680,f426]) ).

fof(f1300,definition,
    ( spl0_162
  <=> c3_1(a696) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1301,plain,
    ( ~ c3_1(a696)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1300]) ).

fof(f1302,plain,
    ( c3_1(a696)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1300]) ).

fof(f1304,plain,
    ( c0_1(a702)
    | c3_1(a702)
    | ~ spl0_13
    | ~ spl0_71 ),
    inference(resolution,[],[f710,f426]) ).

fof(f1305,plain,
    ( spl0_117
    | spl0_118
    | ~ spl0_13
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1304,f708,f425,f941,f936]) ).

fof(f1307,plain,
    ( ~ spl0_138
    | ~ spl0_7
    | ~ spl0_98
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1193,f848,f843,f405,f1041]) ).

fof(f1335,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f433,f395]) ).

fof(f1339,plain,
    ( c0_1(a697)
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_66 ),
    inference(resolution,[],[f1335,f685]) ).

fof(f1345,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[],[f409,f402]) ).

fof(f1348,plain,
    ( ~ c1_1(a726)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_82 ),
    inference(resolution,[],[f1345,f765]) ).

fof(f1354,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f420,f395]) ).

fof(f1360,plain,
    ( ~ c1_1(a726)
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_82 ),
    inference(resolution,[],[f1354,f765]) ).

fof(f1377,definition,
    ( spl0_164
  <=> c0_1(a734) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1407,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f440,f426]) ).

fof(f1425,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_9
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f444,f413]) ).

fof(f1426,plain,
    ( ! [X2] : ~ c2_1(X2)
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f1425,f1407]) ).

fof(f1439,plain,
    ( c0_1(a734)
    | c3_1(a734)
    | ~ spl0_13
    | ~ spl0_85 ),
    inference(resolution,[],[f780,f426]) ).

fof(f1440,plain,
    ( c0_1(a734)
    | ~ spl0_13
    | ~ spl0_85
    | spl0_130 ),
    inference(forward_subsumption_resolution,[],[f1439,f1003]) ).

fof(f1442,plain,
    ( spl0_164
    | ~ spl0_13
    | ~ spl0_85
    | spl0_130 ),
    inference(avatar_split_clause,[],[f1440,f1001,f778,f425,f1377]) ).

fof(f1459,plain,
    ( c2_1(a697)
    | c1_1(a697)
    | ~ spl0_19
    | ~ spl0_66 ),
    inference(resolution,[],[f447,f685]) ).

fof(f1462,plain,
    ( c1_1(a697)
    | ~ spl0_19
    | ~ spl0_66
    | spl0_113 ),
    inference(forward_subsumption_resolution,[],[f1459,f918]) ).

fof(f1469,plain,
    ( ~ c1_1(a730)
    | ~ c2_1(a730)
    | ~ spl0_6
    | ~ spl0_84 ),
    inference(resolution,[],[f775,f402]) ).

fof(f1470,plain,
    ( c0_1(a730)
    | ~ c1_1(a730)
    | ~ spl0_4
    | ~ spl0_84 ),
    inference(resolution,[],[f775,f395]) ).

fof(f1471,plain,
    ( ~ spl0_128
    | spl0_129
    | ~ spl0_4
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1470,f773,f394,f996,f991]) ).

fof(f1473,definition,
    ( spl0_165
  <=> c2_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1475,plain,
    ( ~ c2_1(a730)
    | spl0_165 ),
    inference(avatar_component_clause,[],[f1473]) ).

fof(f1477,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f416,f426]) ).

fof(f1478,plain,
    ( c3_1(a701)
    | ~ spl0_10
    | spl0_115
    | spl0_116 ),
    inference(forward_subsumption_resolution,[],[f1205,f928]) ).

fof(f1488,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(resolution,[],[f1477,f406]) ).

fof(f1489,plain,
    ( c3_1(a691)
    | ~ spl0_10
    | ~ spl0_13
    | spl0_146 ),
    inference(resolution,[],[f1477,f1083]) ).

fof(f1499,plain,
    ( spl0_144
    | ~ spl0_10
    | ~ spl0_13
    | spl0_146 ),
    inference(avatar_split_clause,[],[f1489,f1081,f425,f415,f1071]) ).

fof(f1514,plain,
    ( c3_1(a734)
    | c1_1(a734)
    | ~ spl0_1
    | ~ spl0_85 ),
    inference(resolution,[],[f385,f780]) ).

fof(f1524,plain,
    ( ! [X1] : c0_1(X1)
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f1335,f1477]) ).

fof(f1525,plain,
    ( spl0_114
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1339,f683,f432,f394,f921]) ).

fof(f1531,plain,
    ( spl0_158
    | ~ spl0_19
    | ~ spl0_66
    | spl0_113 ),
    inference(avatar_split_clause,[],[f1462,f916,f683,f446,f1239]) ).

fof(f1543,plain,
    ( c2_1(a693)
    | ~ c0_1(a693)
    | ~ spl0_14
    | spl0_64 ),
    inference(resolution,[],[f675,f430]) ).

fof(f1547,plain,
    ( ~ c2_1(a760)
    | ~ c1_1(a760)
    | ~ spl0_7
    | ~ spl0_97 ),
    inference(resolution,[],[f840,f406]) ).

fof(f1549,definition,
    ( spl0_168
  <=> c2_1(a760) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1588,plain,
    ( c3_1(a733)
    | c2_1(a733)
    | ~ spl0_23
    | ~ spl0_155 ),
    inference(resolution,[],[f463,f1128]) ).

fof(f1590,plain,
    ( c3_1(a760)
    | c2_1(a760)
    | ~ spl0_23
    | ~ spl0_137 ),
    inference(resolution,[],[f463,f1038]) ).

fof(f1604,plain,
    ( c2_1(a760)
    | ~ spl0_23
    | spl0_136
    | ~ spl0_137 ),
    inference(forward_subsumption_resolution,[],[f1590,f1033]) ).

fof(f1614,plain,
    ( spl0_168
    | ~ spl0_23
    | spl0_136
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1604,f1036,f1031,f462,f1549]) ).

fof(f1639,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_6
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f480,f402]) ).

fof(f1650,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_1
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[],[f488,f385]) ).

fof(f1656,plain,
    ( c3_1(a702)
    | c1_1(a702)
    | ~ spl0_1
    | ~ spl0_71 ),
    inference(resolution,[],[f710,f385]) ).

fof(f1664,plain,
    ( c0_1(a752)
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_93 ),
    inference(resolution,[],[f820,f1335]) ).

fof(f1668,definition,
    ( spl0_170
  <=> c1_1(a752) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1673,plain,
    ( spl0_134
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1664,f818,f432,f394,f1021]) ).

fof(f1679,definition,
    ( spl0_171
  <=> c1_1(a702) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1695,plain,
    ( c0_1(a752)
    | c1_1(a752)
    | ~ spl0_16
    | ~ spl0_94 ),
    inference(resolution,[],[f825,f437]) ).

fof(f1696,plain,
    ( c0_1(a752)
    | c3_1(a752)
    | ~ spl0_13
    | ~ spl0_94 ),
    inference(resolution,[],[f825,f426]) ).

fof(f1697,plain,
    ( c0_1(a752)
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_94 ),
    inference(forward_subsumption_resolution,[],[f1696,f1335]) ).

fof(f1701,plain,
    ( spl0_134
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1697,f823,f432,f425,f394,f1021]) ).

fof(f1715,plain,
    ( c2_1(a754)
    | c1_1(a754)
    | ~ spl0_19
    | ~ spl0_95 ),
    inference(resolution,[],[f447,f830]) ).

fof(f1720,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_16
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[],[f501,f437]) ).

fof(f1724,plain,
    ( c0_1(a722)
    | ~ spl0_16
    | ~ spl0_32
    | spl0_78 ),
    inference(resolution,[],[f1720,f745]) ).

fof(f1737,plain,
    ( ~ c1_1(a760)
    | c3_1(a760)
    | ~ spl0_41
    | ~ spl0_97 ),
    inference(resolution,[],[f543,f840]) ).

fof(f1742,plain,
    ( ~ c1_1(a710)
    | c3_1(a710)
    | ~ spl0_41
    | ~ spl0_73 ),
    inference(resolution,[],[f543,f720]) ).

fof(f1747,plain,
    ( ~ c1_1(a710)
    | ~ spl0_41
    | ~ spl0_73
    | spl0_121 ),
    inference(forward_subsumption_resolution,[],[f1742,f958]) ).

fof(f1756,plain,
    ( ! [X1] : ~ c3_1(X1)
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f1244,f1335]) ).

fof(f1763,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_15
    | ~ spl0_82 ),
    inference(backward_subsumption_resolution,[],[f765,f1756]) ).

fof(f1767,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_15
    | ~ spl0_82 ),
    inference(avatar_contradiction_clause,[],[f1763]) ).

fof(f1770,plain,
    ( ~ c2_1(a730)
    | ~ spl0_6
    | ~ spl0_84
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f1469,f993]) ).

fof(f1773,plain,
    ( spl0_29
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f1488,f425,f415,f405,f487]) ).

fof(f1788,plain,
    ( ~ spl0_165
    | ~ spl0_6
    | ~ spl0_84
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1770,f991,f773,f401,f1473]) ).

fof(f1802,plain,
    ( c2_1(a693)
    | c1_1(a693)
    | ~ spl0_19
    | ~ spl0_63 ),
    inference(resolution,[],[f670,f447]) ).

fof(f1825,plain,
    ( c0_1(a763)
    | c1_1(a763)
    | ~ spl0_16
    | ~ spl0_100 ),
    inference(resolution,[],[f855,f437]) ).

fof(f1847,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_17
    | ~ spl0_18
    | ~ spl0_77 ),
    inference(backward_subsumption_resolution,[],[f740,f1426]) ).

fof(f1849,plain,
    ( ~ spl0_9
    | ~ spl0_13
    | ~ spl0_17
    | ~ spl0_18
    | ~ spl0_77 ),
    inference(avatar_contradiction_clause,[],[f1847]) ).

fof(f1858,definition,
    ( spl0_173
  <=> c0_1(a744) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1860,plain,
    ( c0_1(a744)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1858]) ).

fof(f1867,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_15
    | spl0_149 ),
    inference(backward_subsumption_resolution,[],[f1098,f1524]) ).

fof(f1869,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_15
    | spl0_134 ),
    inference(backward_subsumption_resolution,[],[f1023,f1524]) ).

fof(f1871,plain,
    ( ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_15
    | spl0_149 ),
    inference(avatar_contradiction_clause,[],[f1867]) ).

fof(f1873,plain,
    ( ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_15
    | spl0_134 ),
    inference(avatar_contradiction_clause,[],[f1869]) ).

fof(f1881,plain,
    ( ! [X2] : ~ c2_1(X2)
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f1425,f1524]) ).

fof(f1882,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_18
    | ~ spl0_77 ),
    inference(backward_subsumption_resolution,[],[f740,f1881]) ).

fof(f1885,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_18
    | ~ spl0_77 ),
    inference(avatar_contradiction_clause,[],[f1882]) ).

fof(f1888,plain,
    ( ~ spl0_127
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1348,f763,f408,f401,f986]) ).

fof(f1897,plain,
    ( c0_1(a696)
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_65 ),
    inference(forward_subsumption_resolution,[],[f1298,f1335]) ).

fof(f1917,plain,
    ( spl0_112
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1897,f678,f432,f425,f394,f911]) ).

fof(f1922,plain,
    ( spl0_131
    | ~ spl0_2
    | spl0_87
    | spl0_132 ),
    inference(avatar_split_clause,[],[f1178,f1011,f788,f387,f1006]) ).

fof(f1923,plain,
    ( spl0_110
    | ~ spl0_2
    | ~ spl0_19
    | spl0_64 ),
    inference(avatar_split_clause,[],[f1225,f673,f446,f387,f901]) ).

fof(f1930,plain,
    ( spl0_64
    | spl0_110
    | ~ spl0_19
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1802,f668,f446,f901,f673]) ).

fof(f1985,plain,
    ( c0_1(a734)
    | c1_1(a734)
    | ~ spl0_16
    | ~ spl0_85 ),
    inference(resolution,[],[f780,f437]) ).

fof(f2011,plain,
    ( ~ spl0_127
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1360,f763,f419,f394,f986]) ).

fof(f2032,plain,
    ( spl0_156
    | spl0_135
    | ~ spl0_19
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1715,f828,f446,f1026,f1213]) ).

fof(f2064,plain,
    ( c0_1(a744)
    | c1_1(a744)
    | ~ spl0_16
    | ~ spl0_89 ),
    inference(resolution,[],[f800,f437]) ).

fof(f2075,plain,
    ( ~ c1_1(a708)
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_72 ),
    inference(resolution,[],[f1354,f715]) ).

fof(f2080,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_72
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f2075,f953]) ).

fof(f2081,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_72
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f2080]) ).

fof(f2089,plain,
    ( ~ spl0_79
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1248,f758,f422,f412,f748]) ).

fof(f2104,plain,
    ( spl0_86
    | spl0_164
    | ~ spl0_16
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1985,f778,f436,f1377,f783]) ).

fof(f2141,plain,
    ( ~ c3_1(a726)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_83 ),
    inference(resolution,[],[f1244,f770]) ).

fof(f2150,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_82
    | ~ spl0_83 ),
    inference(forward_subsumption_resolution,[],[f2141,f765]) ).

fof(f2151,plain,
    ( ~ spl0_9
    | ~ spl0_12
    | ~ spl0_82
    | ~ spl0_83 ),
    inference(avatar_contradiction_clause,[],[f2150]) ).

fof(f2172,plain,
    ( ~ c1_1(a708)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_72 ),
    inference(resolution,[],[f1345,f715]) ).

fof(f2178,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_72
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f2172,f953]) ).

fof(f2179,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_72
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f2178]) ).

fof(f2205,plain,
    ( ~ c0_1(a698)
    | ~ spl0_9
    | ~ spl0_18
    | ~ spl0_68 ),
    inference(resolution,[],[f1425,f695]) ).

fof(f2237,plain,
    ( ~ spl0_157
    | spl0_110
    | ~ spl0_14
    | spl0_64 ),
    inference(avatar_split_clause,[],[f1543,f673,f429,f901,f1232]) ).

fof(f2241,plain,
    ( ~ spl0_69
    | ~ spl0_9
    | ~ spl0_18
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f2205,f693,f443,f412,f698]) ).

fof(f2298,plain,
    ( ~ c3_1(a754)
    | ~ c1_1(a754)
    | ~ spl0_11
    | ~ spl0_96 ),
    inference(resolution,[],[f420,f835]) ).

fof(f2300,plain,
    ( ~ c3_1(a726)
    | ~ c1_1(a726)
    | ~ spl0_11
    | ~ spl0_83 ),
    inference(resolution,[],[f420,f770]) ).

fof(f2306,plain,
    ( ~ c1_1(a726)
    | ~ spl0_11
    | ~ spl0_82
    | ~ spl0_83 ),
    inference(forward_subsumption_resolution,[],[f2300,f765]) ).

fof(f2307,plain,
    ( ~ c1_1(a754)
    | ~ spl0_11
    | ~ spl0_95
    | ~ spl0_96 ),
    inference(forward_subsumption_resolution,[],[f2298,f830]) ).

fof(f2312,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_82
    | ~ spl0_83
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f2306,f988]) ).

fof(f2313,plain,
    ( ~ spl0_11
    | ~ spl0_82
    | ~ spl0_83
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f2312]) ).

fof(f2314,plain,
    ( ~ spl0_156
    | ~ spl0_11
    | ~ spl0_95
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2307,f833,f828,f419,f1213]) ).

fof(f2321,plain,
    ( spl0_151
    | ~ spl0_10
    | spl0_150
    | spl0_152 ),
    inference(avatar_split_clause,[],[f1206,f1111,f1101,f415,f1106]) ).

fof(f2329,plain,
    ( spl0_126
    | ~ spl0_16
    | ~ spl0_32
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1724,f743,f500,f436,f981]) ).

fof(f2348,plain,
    ( c3_1(a713)
    | ~ spl0_10
    | ~ spl0_13
    | spl0_152 ),
    inference(resolution,[],[f1477,f1113]) ).

fof(f2364,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_13
    | spl0_150
    | spl0_152 ),
    inference(forward_subsumption_resolution,[],[f2348,f1103]) ).

fof(f2365,plain,
    ( ~ spl0_10
    | ~ spl0_13
    | spl0_150
    | spl0_152 ),
    inference(avatar_contradiction_clause,[],[f2364]) ).

fof(f2416,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c2_1(X2) )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f399,f1477]) ).

fof(f2417,plain,
    ( c2_1(a733)
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13
    | spl0_153 ),
    inference(resolution,[],[f2416,f1118]) ).

fof(f2437,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13
    | spl0_153
    | spl0_154 ),
    inference(forward_subsumption_resolution,[],[f2417,f1123]) ).

fof(f2438,plain,
    ( ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13
    | spl0_153
    | spl0_154 ),
    inference(avatar_contradiction_clause,[],[f2437]) ).

fof(f2468,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[],[f543,f1477]) ).

fof(f2471,plain,
    ( ~ c1_1(a760)
    | ~ spl0_41
    | ~ spl0_97
    | spl0_136 ),
    inference(forward_subsumption_resolution,[],[f1737,f1033]) ).

fof(f2474,plain,
    ( ~ spl0_137
    | ~ spl0_168
    | ~ spl0_7
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1547,f838,f405,f1549,f1036]) ).

fof(f2481,plain,
    ( ~ spl0_137
    | ~ spl0_41
    | ~ spl0_97
    | spl0_136 ),
    inference(avatar_split_clause,[],[f2471,f1031,f838,f542,f1036]) ).

fof(f2536,plain,
    ( c3_1(a722)
    | ~ spl0_10
    | ~ spl0_13
    | spl0_126 ),
    inference(resolution,[],[f983,f1477]) ).

fof(f2540,plain,
    ( spl0_125
    | ~ spl0_10
    | ~ spl0_13
    | spl0_126 ),
    inference(avatar_split_clause,[],[f2536,f981,f425,f415,f976]) ).

fof(f2547,plain,
    ( c3_1(a733)
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_41
    | ~ spl0_155 ),
    inference(resolution,[],[f2468,f1128]) ).

fof(f2580,plain,
    ( spl0_153
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_41
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f2547,f1126,f542,f425,f415,f1116]) ).

fof(f2614,plain,
    ( ~ c1_1(a696)
    | ~ c2_1(a696)
    | ~ spl0_6
    | ~ spl0_162 ),
    inference(resolution,[],[f1302,f402]) ).

fof(f2691,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[],[f402,f1650]) ).

fof(f2768,plain,
    ( ~ c1_1(a696)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_29
    | ~ spl0_65 ),
    inference(resolution,[],[f680,f2691]) ).

fof(f2771,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_29
    | ~ spl0_65
    | ~ spl0_111 ),
    inference(forward_subsumption_resolution,[],[f2768,f908]) ).

fof(f2772,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_29
    | ~ spl0_65
    | ~ spl0_111 ),
    inference(avatar_contradiction_clause,[],[f2771]) ).

fof(f2780,plain,
    ( spl0_90
    | spl0_173
    | ~ spl0_16
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f2064,f798,f436,f1858,f803]) ).

fof(f2788,plain,
    ( ~ c2_1(a696)
    | ~ spl0_6
    | ~ spl0_111
    | ~ spl0_162 ),
    inference(forward_subsumption_resolution,[],[f2614,f908]) ).

fof(f2791,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_65
    | ~ spl0_111
    | ~ spl0_162 ),
    inference(forward_subsumption_resolution,[],[f2788,f680]) ).

fof(f2792,plain,
    ( ~ spl0_6
    | ~ spl0_65
    | ~ spl0_111
    | ~ spl0_162 ),
    inference(avatar_contradiction_clause,[],[f2791]) ).

fof(f2795,plain,
    ( spl0_162
    | spl0_112
    | ~ spl0_13
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1298,f678,f425,f911,f1300]) ).

fof(f2812,plain,
    ( c2_1(a760)
    | c3_1(a760)
    | ~ spl0_5
    | ~ spl0_97 ),
    inference(resolution,[],[f399,f840]) ).

fof(f2819,plain,
    ( c2_1(a692)
    | c3_1(a692)
    | ~ spl0_5
    | ~ spl0_62 ),
    inference(resolution,[],[f399,f665]) ).

fof(f2823,plain,
    ( c3_1(a692)
    | ~ spl0_5
    | ~ spl0_62
    | spl0_109 ),
    inference(forward_subsumption_resolution,[],[f2819,f898]) ).

fof(f2879,plain,
    ( ~ c3_1(a744)
    | ~ c2_1(a744)
    | ~ spl0_9
    | ~ spl0_173 ),
    inference(resolution,[],[f1860,f413]) ).

fof(f2881,plain,
    ( ~ c2_1(a744)
    | ~ spl0_9
    | ~ spl0_88
    | ~ spl0_173 ),
    inference(forward_subsumption_resolution,[],[f2879,f795]) ).

fof(f2882,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_88
    | ~ spl0_89
    | ~ spl0_173 ),
    inference(forward_subsumption_resolution,[],[f2881,f800]) ).

fof(f2883,plain,
    ( ~ spl0_9
    | ~ spl0_88
    | ~ spl0_89
    | ~ spl0_173 ),
    inference(avatar_contradiction_clause,[],[f2882]) ).

fof(f2891,definition,
    ( spl0_180
  <=> c3_1(a692) ),
    introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).

fof(f2895,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_9
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f440,f413]) ).

fof(f2897,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_7
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f517,f406]) ).

fof(f2908,plain,
    ( ~ c3_1(a744)
    | ~ spl0_9
    | ~ spl0_17
    | ~ spl0_89 ),
    inference(resolution,[],[f2895,f800]) ).

fof(f2913,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_6
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[],[f488,f402]) ).

fof(f2914,plain,
    ( ~ spl0_88
    | ~ spl0_9
    | ~ spl0_17
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f2908,f798,f439,f412,f793]) ).

fof(f2926,plain,
    ( c2_1(a710)
    | c3_1(a710)
    | ~ spl0_2
    | ~ spl0_41
    | ~ spl0_73
    | spl0_121 ),
    inference(resolution,[],[f388,f1747]) ).

fof(f2928,plain,
    ( c2_1(a692)
    | c3_1(a692)
    | ~ spl0_2
    | spl0_61 ),
    inference(resolution,[],[f388,f660]) ).

fof(f2930,plain,
    ( c3_1(a692)
    | ~ spl0_2
    | spl0_61
    | spl0_109 ),
    inference(forward_subsumption_resolution,[],[f2928,f898]) ).

fof(f2931,plain,
    ( c3_1(a710)
    | ~ spl0_2
    | ~ spl0_41
    | ~ spl0_73
    | spl0_121
    | spl0_122 ),
    inference(forward_subsumption_resolution,[],[f2926,f963]) ).

fof(f2933,plain,
    ( spl0_180
    | ~ spl0_2
    | spl0_61
    | spl0_109 ),
    inference(avatar_split_clause,[],[f2930,f896,f658,f387,f2891]) ).

fof(f2934,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_41
    | ~ spl0_73
    | spl0_121
    | spl0_122 ),
    inference(forward_subsumption_resolution,[],[f2931,f958]) ).

fof(f2935,plain,
    ( ~ spl0_2
    | ~ spl0_41
    | ~ spl0_73
    | spl0_121
    | spl0_122 ),
    inference(avatar_contradiction_clause,[],[f2934]) ).

fof(f2942,plain,
    ( spl0_180
    | ~ spl0_5
    | ~ spl0_62
    | spl0_109 ),
    inference(avatar_split_clause,[],[f2823,f896,f663,f398,f2891]) ).

fof(f2943,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_2
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f463,f388]) ).

fof(f2959,plain,
    ( spl0_154
    | spl0_153
    | ~ spl0_23
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1588,f1126,f462,f1116,f1121]) ).

fof(f2981,plain,
    ( c2_1(a713)
    | ~ spl0_2
    | ~ spl0_23
    | spl0_150 ),
    inference(resolution,[],[f2943,f1103]) ).

fof(f2988,plain,
    ( c2_1(a710)
    | ~ spl0_2
    | ~ spl0_23
    | spl0_121 ),
    inference(resolution,[],[f2943,f958]) ).

fof(f2993,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_23
    | spl0_121
    | spl0_122 ),
    inference(forward_subsumption_resolution,[],[f2988,f963]) ).

fof(f2994,plain,
    ( ~ spl0_2
    | ~ spl0_23
    | spl0_121
    | spl0_122 ),
    inference(avatar_contradiction_clause,[],[f2993]) ).

fof(f3000,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_23
    | spl0_150
    | spl0_151 ),
    inference(forward_subsumption_resolution,[],[f2981,f1108]) ).

fof(f3001,plain,
    ( ~ spl0_2
    | ~ spl0_23
    | spl0_150
    | spl0_151 ),
    inference(avatar_contradiction_clause,[],[f3000]) ).

fof(f3071,plain,
    ( ~ c3_1(a751)
    | c0_1(a751)
    | ~ spl0_15
    | spl0_92 ),
    inference(resolution,[],[f433,f815]) ).

fof(f3075,plain,
    ( ~ c3_1(a701)
    | c0_1(a701)
    | ~ spl0_15
    | spl0_70 ),
    inference(resolution,[],[f433,f705]) ).

fof(f3077,plain,
    ( ~ c3_1(a744)
    | c0_1(a744)
    | ~ spl0_15
    | spl0_90 ),
    inference(resolution,[],[f433,f805]) ).

fof(f3079,plain,
    ( c0_1(a701)
    | ~ spl0_2
    | ~ spl0_15
    | spl0_70
    | spl0_115 ),
    inference(forward_subsumption_resolution,[],[f3075,f1176]) ).

fof(f3080,plain,
    ( c0_1(a751)
    | ~ spl0_15
    | ~ spl0_91
    | spl0_92 ),
    inference(forward_subsumption_resolution,[],[f3071,f810]) ).

fof(f3087,plain,
    ( spl0_133
    | ~ spl0_15
    | ~ spl0_91
    | spl0_92 ),
    inference(avatar_split_clause,[],[f3080,f813,f808,f432,f1016]) ).

fof(f3088,plain,
    ( spl0_116
    | ~ spl0_2
    | ~ spl0_15
    | spl0_70
    | spl0_115 ),
    inference(avatar_split_clause,[],[f3079,f926,f703,f432,f387,f931]) ).

fof(f3109,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_2
    | ~ spl0_22
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f460,f2943]) ).

fof(f3124,plain,
    ( c2_1(a730)
    | ~ spl0_2
    | ~ spl0_22
    | ~ spl0_23
    | spl0_129 ),
    inference(resolution,[],[f3109,f998]) ).

fof(f3130,plain,
    ( c2_1(a697)
    | ~ spl0_2
    | ~ spl0_22
    | ~ spl0_23
    | spl0_114 ),
    inference(resolution,[],[f3109,f923]) ).

fof(f3141,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_22
    | ~ spl0_23
    | spl0_113
    | spl0_114 ),
    inference(forward_subsumption_resolution,[],[f3130,f918]) ).

fof(f3142,plain,
    ( ~ spl0_2
    | ~ spl0_22
    | ~ spl0_23
    | spl0_113
    | spl0_114 ),
    inference(avatar_contradiction_clause,[],[f3141]) ).

fof(f3150,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_22
    | ~ spl0_23
    | spl0_129
    | spl0_165 ),
    inference(forward_subsumption_resolution,[],[f3124,f1475]) ).

fof(f3151,plain,
    ( ~ spl0_2
    | ~ spl0_22
    | ~ spl0_23
    | spl0_129
    | spl0_165 ),
    inference(avatar_contradiction_clause,[],[f3150]) ).

fof(f3165,plain,
    ( spl0_86
    | spl0_130
    | ~ spl0_1
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1514,f778,f384,f1001,f783]) ).

fof(f3166,plain,
    ( ! [X1] : ~ c2_1(X1)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_17
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[],[f1650,f2895]) ).

fof(f3200,definition,
    ( spl0_182
  <=> c3_1(a701) ),
    introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).

fof(f3225,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_100 ),
    inference(backward_subsumption_resolution,[],[f855,f3166]) ).

fof(f3227,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_100 ),
    inference(avatar_contradiction_clause,[],[f3225]) ).

fof(f3231,plain,
    ( spl0_182
    | ~ spl0_10
    | spl0_115
    | spl0_116 ),
    inference(avatar_split_clause,[],[f1478,f931,f926,f415,f3200]) ).

fof(f3235,plain,
    ( spl0_170
    | spl0_134
    | ~ spl0_16
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1695,f823,f436,f1021,f1668]) ).

fof(f3248,plain,
    ( spl0_171
    | spl0_117
    | ~ spl0_1
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1656,f708,f384,f936,f1679]) ).

fof(f3252,plain,
    ( c2_1(a760)
    | ~ spl0_5
    | ~ spl0_97
    | spl0_136 ),
    inference(forward_subsumption_resolution,[],[f2812,f1033]) ).

fof(f3258,plain,
    ( spl0_168
    | ~ spl0_5
    | ~ spl0_97
    | spl0_136 ),
    inference(avatar_split_clause,[],[f3252,f1031,f838,f398,f1549]) ).

fof(f3265,plain,
    ( spl0_101
    | spl0_139
    | ~ spl0_16
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1825,f853,f436,f1046,f858]) ).

fof(f3324,plain,
    ( ~ c3_1(a708)
    | c2_1(a708)
    | ~ spl0_8
    | ~ spl0_120 ),
    inference(resolution,[],[f409,f953]) ).

fof(f3325,plain,
    ( ~ c3_1(a697)
    | c2_1(a697)
    | ~ spl0_8
    | ~ spl0_158 ),
    inference(resolution,[],[f409,f1240]) ).

fof(f3328,plain,
    ( c2_1(a697)
    | ~ spl0_8
    | ~ spl0_66
    | ~ spl0_158 ),
    inference(forward_subsumption_resolution,[],[f3325,f685]) ).

fof(f3329,plain,
    ( c2_1(a708)
    | ~ spl0_8
    | ~ spl0_72
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f3324,f715]) ).

fof(f3338,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_66
    | spl0_113
    | ~ spl0_158 ),
    inference(forward_subsumption_resolution,[],[f3328,f918]) ).

fof(f3339,plain,
    ( ~ spl0_8
    | ~ spl0_66
    | spl0_113
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f3338]) ).

fof(f3340,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_72
    | spl0_119
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f3329,f948]) ).

fof(f3341,plain,
    ( ~ spl0_8
    | ~ spl0_72
    | spl0_119
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f3340]) ).

fof(f3368,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f416,f399]) ).

fof(f3371,plain,
    ( c2_1(a738)
    | ~ spl0_5
    | ~ spl0_10
    | spl0_131 ),
    inference(resolution,[],[f3368,f1008]) ).

fof(f3376,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_10
    | spl0_131
    | spl0_132 ),
    inference(forward_subsumption_resolution,[],[f3371,f1013]) ).

fof(f3377,plain,
    ( ~ spl0_5
    | ~ spl0_10
    | spl0_131
    | spl0_132 ),
    inference(avatar_contradiction_clause,[],[f3376]) ).

fof(f3381,plain,
    ( ~ c1_1(a697)
    | ~ spl0_4
    | ~ spl0_66
    | spl0_114 ),
    inference(forward_subsumption_resolution,[],[f1237,f923]) ).

fof(f3397,plain,
    ( ~ spl0_158
    | ~ spl0_4
    | ~ spl0_66
    | spl0_114 ),
    inference(avatar_split_clause,[],[f3381,f921,f683,f394,f1239]) ).

fof(f3406,plain,
    ( ~ c3_1(a744)
    | ~ spl0_6
    | ~ spl0_27
    | ~ spl0_89 ),
    inference(resolution,[],[f1639,f800]) ).

fof(f3410,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_27
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(forward_subsumption_resolution,[],[f3406,f795]) ).

fof(f3411,plain,
    ( ~ spl0_6
    | ~ spl0_27
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(avatar_contradiction_clause,[],[f3410]) ).

fof(f3454,plain,
    ( ~ c1_1(a752)
    | ~ c2_1(a752)
    | ~ spl0_6
    | ~ spl0_93 ),
    inference(resolution,[],[f402,f820]) ).

fof(f3457,plain,
    ( ~ c1_1(a726)
    | ~ c2_1(a726)
    | ~ spl0_6
    | ~ spl0_82 ),
    inference(resolution,[],[f402,f765]) ).

fof(f3470,plain,
    ( ~ c2_1(a726)
    | ~ c1_1(a726)
    | ~ spl0_7
    | ~ spl0_83 ),
    inference(resolution,[],[f406,f770]) ).

fof(f3519,plain,
    ( ~ c3_1(a754)
    | c2_1(a754)
    | ~ spl0_12
    | ~ spl0_96 ),
    inference(resolution,[],[f423,f835]) ).

fof(f3520,plain,
    ( ~ c3_1(a726)
    | c2_1(a726)
    | ~ spl0_12
    | ~ spl0_83 ),
    inference(resolution,[],[f423,f770]) ).

fof(f3523,plain,
    ( ~ c3_1(a693)
    | c2_1(a693)
    | ~ spl0_12
    | ~ spl0_157 ),
    inference(resolution,[],[f423,f1234]) ).

fof(f3524,plain,
    ( ~ c3_1(a692)
    | c2_1(a692)
    | ~ spl0_12
    | ~ spl0_62 ),
    inference(resolution,[],[f423,f665]) ).

fof(f3529,plain,
    ( ~ c3_1(a692)
    | ~ spl0_12
    | ~ spl0_62
    | spl0_109 ),
    inference(forward_subsumption_resolution,[],[f3524,f898]) ).

fof(f3530,plain,
    ( c2_1(a693)
    | ~ spl0_12
    | ~ spl0_63
    | ~ spl0_157 ),
    inference(forward_subsumption_resolution,[],[f3523,f670]) ).

fof(f3533,plain,
    ( c2_1(a726)
    | ~ spl0_12
    | ~ spl0_82
    | ~ spl0_83 ),
    inference(forward_subsumption_resolution,[],[f3520,f765]) ).

fof(f3534,plain,
    ( c2_1(a754)
    | ~ spl0_12
    | ~ spl0_95
    | ~ spl0_96 ),
    inference(forward_subsumption_resolution,[],[f3519,f830]) ).

fof(f3537,plain,
    ( ~ spl0_180
    | ~ spl0_12
    | ~ spl0_62
    | spl0_109 ),
    inference(avatar_split_clause,[],[f3529,f896,f663,f422,f2891]) ).

fof(f3543,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_82
    | ~ spl0_83
    | spl0_161 ),
    inference(forward_subsumption_resolution,[],[f3533,f1281]) ).

fof(f3544,plain,
    ( ~ spl0_12
    | ~ spl0_82
    | ~ spl0_83
    | spl0_161 ),
    inference(avatar_contradiction_clause,[],[f3543]) ).

fof(f3555,plain,
    ( ~ spl0_161
    | ~ spl0_127
    | ~ spl0_6
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f3457,f763,f401,f986,f1279]) ).

fof(f3556,plain,
    ( ~ spl0_127
    | ~ spl0_161
    | ~ spl0_7
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f3470,f768,f405,f1279,f986]) ).

fof(f3557,plain,
    ( spl0_161
    | ~ spl0_12
    | ~ spl0_82
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f3533,f768,f763,f422,f1279]) ).

fof(f3559,plain,
    ( spl0_135
    | ~ spl0_12
    | ~ spl0_95
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f3534,f833,f828,f422,f1026]) ).

fof(f3580,plain,
    ( c2_1(a692)
    | ~ c0_1(a692)
    | ~ spl0_14
    | spl0_61 ),
    inference(resolution,[],[f430,f660]) ).

fof(f3585,plain,
    ( ~ c0_1(a692)
    | ~ spl0_14
    | spl0_61
    | spl0_109 ),
    inference(forward_subsumption_resolution,[],[f3580,f898]) ).

fof(f3591,plain,
    ( $false
    | ~ spl0_14
    | spl0_61
    | ~ spl0_62
    | spl0_109 ),
    inference(forward_subsumption_resolution,[],[f3585,f665]) ).

fof(f3592,plain,
    ( ~ spl0_14
    | spl0_61
    | ~ spl0_62
    | spl0_109 ),
    inference(avatar_contradiction_clause,[],[f3591]) ).

fof(f3607,plain,
    ( spl0_116
    | ~ spl0_182
    | ~ spl0_15
    | spl0_70 ),
    inference(avatar_split_clause,[],[f3075,f703,f432,f3200,f931]) ).

fof(f3608,plain,
    ( c0_1(a744)
    | ~ spl0_15
    | ~ spl0_88
    | spl0_90 ),
    inference(forward_subsumption_resolution,[],[f3077,f795]) ).

fof(f3613,plain,
    ( spl0_173
    | ~ spl0_15
    | ~ spl0_88
    | spl0_90 ),
    inference(avatar_split_clause,[],[f3608,f803,f793,f432,f1858]) ).

fof(f3671,plain,
    ( ~ c3_1(a697)
    | c0_1(a697)
    | ~ spl0_15
    | spl0_158 ),
    inference(resolution,[],[f433,f1241]) ).

fof(f3672,plain,
    ( ~ c3_1(a693)
    | c0_1(a693)
    | ~ spl0_15
    | spl0_64 ),
    inference(resolution,[],[f433,f675]) ).

fof(f3678,plain,
    ( c0_1(a693)
    | ~ spl0_15
    | ~ spl0_63
    | spl0_64 ),
    inference(forward_subsumption_resolution,[],[f3672,f670]) ).

fof(f3679,plain,
    ( c0_1(a697)
    | ~ spl0_15
    | ~ spl0_66
    | spl0_158 ),
    inference(forward_subsumption_resolution,[],[f3671,f685]) ).

fof(f3682,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_66
    | spl0_114
    | spl0_158 ),
    inference(forward_subsumption_resolution,[],[f3679,f923]) ).

fof(f3683,plain,
    ( ~ spl0_15
    | ~ spl0_66
    | spl0_114
    | spl0_158 ),
    inference(avatar_contradiction_clause,[],[f3682]) ).

fof(f3684,plain,
    ( spl0_157
    | ~ spl0_15
    | ~ spl0_63
    | spl0_64 ),
    inference(avatar_split_clause,[],[f3678,f673,f668,f432,f1232]) ).

fof(f3687,plain,
    ( ~ c3_1(a752)
    | c0_1(a752)
    | ~ spl0_17
    | ~ spl0_94 ),
    inference(resolution,[],[f440,f825]) ).

fof(f3692,plain,
    ( ~ c3_1(a696)
    | c0_1(a696)
    | ~ spl0_17
    | ~ spl0_65 ),
    inference(resolution,[],[f440,f680]) ).

fof(f3697,plain,
    ( ~ c3_1(a696)
    | ~ spl0_17
    | ~ spl0_65
    | spl0_112 ),
    inference(forward_subsumption_resolution,[],[f3692,f913]) ).

fof(f3698,plain,
    ( c0_1(a752)
    | ~ spl0_17
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(forward_subsumption_resolution,[],[f3687,f820]) ).

fof(f3700,plain,
    ( ~ spl0_162
    | ~ spl0_17
    | ~ spl0_65
    | spl0_112 ),
    inference(avatar_split_clause,[],[f3697,f911,f678,f439,f1300]) ).

fof(f3701,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_93
    | ~ spl0_94
    | spl0_134 ),
    inference(forward_subsumption_resolution,[],[f3698,f1023]) ).

fof(f3702,plain,
    ( ~ spl0_17
    | ~ spl0_93
    | ~ spl0_94
    | spl0_134 ),
    inference(avatar_contradiction_clause,[],[f3701]) ).

fof(f3722,plain,
    ( spl0_110
    | ~ spl0_12
    | ~ spl0_63
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f3530,f1232,f668,f422,f901]) ).

fof(f3742,plain,
    ( ~ c1_1(a696)
    | ~ spl0_7
    | ~ spl0_36
    | ~ spl0_65 ),
    inference(resolution,[],[f2897,f680]) ).

fof(f3748,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_36
    | ~ spl0_65
    | ~ spl0_111 ),
    inference(forward_subsumption_resolution,[],[f3742,f908]) ).

fof(f3749,plain,
    ( ~ spl0_7
    | ~ spl0_36
    | ~ spl0_65
    | ~ spl0_111 ),
    inference(avatar_contradiction_clause,[],[f3748]) ).

fof(f3774,plain,
    ( ~ spl0_94
    | ~ spl0_170
    | ~ spl0_6
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f3454,f818,f401,f1668,f823]) ).

fof(f3781,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_29 ),
    inference(resolution,[],[f2913,f433]) ).

fof(f3784,plain,
    ( ~ c2_1(a760)
    | ~ spl0_6
    | ~ spl0_29
    | ~ spl0_137 ),
    inference(resolution,[],[f2913,f1038]) ).

fof(f3787,plain,
    ( ~ c2_1(a717)
    | ~ spl0_6
    | ~ spl0_29
    | ~ spl0_124 ),
    inference(resolution,[],[f2913,f973]) ).

fof(f3792,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_29
    | ~ spl0_77
    | ~ spl0_124 ),
    inference(forward_subsumption_resolution,[],[f3787,f740]) ).

fof(f3793,plain,
    ( ~ spl0_6
    | ~ spl0_29
    | ~ spl0_77
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f3792]) ).

fof(f3795,plain,
    ( ~ spl0_168
    | ~ spl0_6
    | ~ spl0_29
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f3784,f1036,f487,f401,f1549]) ).

fof(f3796,plain,
    ( spl0_17
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f3781,f487,f432,f401,f439]) ).

fof(f3840,plain,
    ( c3_1(a734)
    | ~ c0_1(a734)
    | ~ spl0_18
    | ~ spl0_85 ),
    inference(resolution,[],[f444,f780]) ).

fof(f3849,plain,
    ( ~ c0_1(a734)
    | ~ spl0_18
    | ~ spl0_85
    | spl0_130 ),
    inference(forward_subsumption_resolution,[],[f3840,f1003]) ).

fof(f3852,plain,
    ( ~ spl0_164
    | ~ spl0_18
    | ~ spl0_85
    | spl0_130 ),
    inference(avatar_split_clause,[],[f3849,f1001,f778,f443,f1377]) ).

fof(f3860,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[],[f460,f416]) ).

fof(f3861,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(resolution,[],[f3860,f420]) ).

fof(f3863,plain,
    ( c2_1(a695)
    | ~ spl0_10
    | ~ spl0_22
    | spl0_149 ),
    inference(resolution,[],[f3860,f1098]) ).

fof(f3869,plain,
    ( c2_1(a730)
    | ~ spl0_10
    | ~ spl0_22
    | spl0_129 ),
    inference(resolution,[],[f3860,f998]) ).

fof(f3872,plain,
    ( c2_1(a697)
    | ~ spl0_10
    | ~ spl0_22
    | spl0_114 ),
    inference(resolution,[],[f3860,f923]) ).

fof(f3874,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_22
    | spl0_113
    | spl0_114 ),
    inference(forward_subsumption_resolution,[],[f3872,f918]) ).

fof(f3875,plain,
    ( ~ spl0_10
    | ~ spl0_22
    | spl0_113
    | spl0_114 ),
    inference(avatar_contradiction_clause,[],[f3874]) ).

fof(f3877,plain,
    ( spl0_165
    | ~ spl0_10
    | ~ spl0_22
    | spl0_129 ),
    inference(avatar_split_clause,[],[f3869,f996,f459,f415,f1473]) ).

fof(f3883,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_22
    | spl0_147
    | spl0_149 ),
    inference(forward_subsumption_resolution,[],[f3863,f1088]) ).

fof(f3884,plain,
    ( ~ spl0_10
    | ~ spl0_22
    | spl0_147
    | spl0_149 ),
    inference(avatar_contradiction_clause,[],[f3883]) ).

fof(f3885,plain,
    ( spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f3861,f459,f419,f415,f408]) ).

fof(f3917,plain,
    ( ~ c1_1(a717)
    | c3_1(a717)
    | ~ spl0_29
    | ~ spl0_77 ),
    inference(resolution,[],[f488,f740]) ).

fof(f3918,plain,
    ( ~ c1_1(a702)
    | c3_1(a702)
    | ~ spl0_29
    | ~ spl0_71 ),
    inference(resolution,[],[f488,f710]) ).

fof(f3919,plain,
    ( ~ c1_1(a696)
    | c3_1(a696)
    | ~ spl0_29
    | ~ spl0_65 ),
    inference(resolution,[],[f488,f680]) ).

fof(f3923,plain,
    ( c3_1(a696)
    | ~ spl0_29
    | ~ spl0_65
    | ~ spl0_111 ),
    inference(forward_subsumption_resolution,[],[f3919,f908]) ).

fof(f3924,plain,
    ( ~ c1_1(a702)
    | ~ spl0_29
    | ~ spl0_71
    | spl0_117 ),
    inference(forward_subsumption_resolution,[],[f3918,f938]) ).

fof(f3925,plain,
    ( c3_1(a717)
    | ~ spl0_29
    | ~ spl0_77
    | ~ spl0_124 ),
    inference(forward_subsumption_resolution,[],[f3917,f973]) ).

fof(f3926,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_65
    | ~ spl0_111
    | spl0_162 ),
    inference(forward_subsumption_resolution,[],[f3923,f1301]) ).

fof(f3927,plain,
    ( ~ spl0_29
    | ~ spl0_65
    | ~ spl0_111
    | spl0_162 ),
    inference(avatar_contradiction_clause,[],[f3926]) ).

fof(f3928,plain,
    ( ~ spl0_171
    | ~ spl0_29
    | ~ spl0_71
    | spl0_117 ),
    inference(avatar_split_clause,[],[f3924,f936,f708,f487,f1679]) ).

fof(f3929,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_77
    | spl0_123
    | ~ spl0_124 ),
    inference(forward_subsumption_resolution,[],[f3925,f968]) ).

fof(f3930,plain,
    ( ~ spl0_29
    | ~ spl0_77
    | spl0_123
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f3929]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f396]) ).

cnf(s2,plain,
    ( spl0_2
    | spl0_3
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f403]) ).

cnf(s3,plain,
    ( spl0_3
    | spl0_4
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f410]) ).

cnf(s4,plain,
    ( spl0_3
    | spl0_4
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f417]) ).

cnf(s5,plain,
    ( spl0_3
    | spl0_11
    | spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f427]) ).

cnf(s6,plain,
    ( spl0_3
    | spl0_8
    | spl0_14
    | spl0_15 ),
    inference(sat_conversion,[],[f434]) ).

cnf(s7,plain,
    ( spl0_3
    | spl0_12
    | spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f441]) ).

cnf(s8,plain,
    ( spl0_1
    | spl0_3
    | spl0_18
    | spl0_19 ),
    inference(sat_conversion,[],[f448]) ).

cnf(s9,plain,
    ( spl0_3
    | spl0_8
    | spl0_10
    | ~ spl0_20 ),
    inference(sat_conversion,[],[f453]) ).

cnf(s10,plain,
    ( spl0_3
    | spl0_21
    | spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f464]) ).

cnf(s11,plain,
    ( spl0_3
    | spl0_13
    | spl0_23
    | spl0_24 ),
    inference(sat_conversion,[],[f469]) ).

cnf(s13,plain,
    ( spl0_3
    | spl0_7
    | spl0_9
    | spl0_27 ),
    inference(sat_conversion,[],[f481]) ).

cnf(s14,plain,
    ( spl0_3
    | spl0_4
    | ~ spl0_28
    | spl0_29 ),
    inference(sat_conversion,[],[f489]) ).

cnf(s15,plain,
    ( spl0_3
    | spl0_6
    | spl0_10
    | spl0_30 ),
    inference(sat_conversion,[],[f494]) ).

cnf(s16,plain,
    ( spl0_3
    | spl0_8
    | ~ spl0_31
    | spl0_32 ),
    inference(sat_conversion,[],[f502]) ).

cnf(s17,plain,
    ( spl0_3
    | spl0_10
    | spl0_19
    | spl0_33 ),
    inference(sat_conversion,[],[f507]) ).

cnf(s19,plain,
    ( spl0_3
    | spl0_12
    | spl0_23
    | spl0_25 ),
    inference(sat_conversion,[],[f519]) ).

cnf(s22,plain,
    ( spl0_3
    | spl0_13
    | spl0_15
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f526]) ).

cnf(s24,plain,
    ( spl0_3
    | spl0_5
    | spl0_17
    | spl0_39 ),
    inference(sat_conversion,[],[f536]) ).

cnf(s26,plain,
    ( spl0_3
    | spl0_12
    | spl0_41
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f549]) ).

cnf(s28,plain,
    ( spl0_2
    | spl0_3
    | spl0_14
    | ~ spl0_44 ),
    inference(sat_conversion,[],[f559]) ).

cnf(s30,plain,
    ( spl0_1
    | spl0_3
    | spl0_15
    | ~ spl0_45 ),
    inference(sat_conversion,[],[f565]) ).

cnf(s32,plain,
    ( spl0_3
    | spl0_6
    | spl0_12
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f571]) ).

cnf(s33,plain,
    ( spl0_3
    | spl0_16
    | spl0_18
    | spl0_34 ),
    inference(sat_conversion,[],[f572]) ).

cnf(s34,plain,
    ( spl0_1
    | spl0_3
    | spl0_7
    | spl0_43 ),
    inference(sat_conversion,[],[f573]) ).

cnf(s35,plain,
    ( spl0_3
    | spl0_9
    | spl0_13
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f574]) ).

cnf(s38,plain,
    ( spl0_3
    | spl0_14
    | spl0_16
    | spl0_24 ),
    inference(sat_conversion,[],[f580]) ).

cnf(s39,plain,
    ( spl0_3
    | spl0_7
    | spl0_14
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s40,plain,
    ( spl0_3
    | spl0_9
    | spl0_11
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f586]) ).

cnf(s45,plain,
    ( spl0_3
    | spl0_22
    | spl0_54
    | ~ spl0_55 ),
    inference(sat_conversion,[],[f617]) ).

cnf(s46,plain,
    ( spl0_3
    | spl0_4
    | ~ spl0_31
    | spl0_56 ),
    inference(sat_conversion,[],[f622]) ).

cnf(s48,plain,
    ( spl0_3
    | ~ spl0_20
    | spl0_29
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s49,plain,
    ( spl0_3
    | spl0_29
    | spl0_50
    | spl0_58 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s50,plain,
    ( spl0_3
    | spl0_34
    | spl0_36
    | spl0_59 ),
    inference(sat_conversion,[],[f638]) ).

cnf(s51,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_45
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f639]) ).

cnf(s54,plain,
    ( spl0_3
    | spl0_15
    | ~ spl0_38
    | spl0_56 ),
    inference(sat_conversion,[],[f642]) ).

cnf(s55,plain,
    ( spl0_3
    | spl0_15
    | spl0_30
    | spl0_33 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s56,plain,
    ( spl0_3
    | spl0_15
    | spl0_21
    | spl0_33 ),
    inference(sat_conversion,[],[f644]) ).

cnf(s57,plain,
    ( spl0_1
    | spl0_3
    | spl0_21
    | spl0_59 ),
    inference(sat_conversion,[],[f645]) ).

cnf(s59,plain,
    ( spl0_3
    | spl0_14
    | spl0_21
    | spl0_40 ),
    inference(sat_conversion,[],[f647]) ).

cnf(s61,plain,
    ( spl0_3
    | spl0_9
    | spl0_25
    | spl0_34 ),
    inference(sat_conversion,[],[f653]) ).

cnf(s62,plain,
    ( spl0_3
    | spl0_9
    | ~ spl0_44
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f654]) ).

cnf(s63,plain,
    ( spl0_3
    | spl0_9
    | ~ spl0_46
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s65,plain,
    ( spl0_37
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f661]) ).

cnf(s66,plain,
    ( spl0_37
    | spl0_62 ),
    inference(sat_conversion,[],[f666]) ).

cnf(s67,plain,
    ( ~ spl0_59
    | spl0_63 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s68,plain,
    ( ~ spl0_59
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f676]) ).

cnf(s69,plain,
    ( spl0_44
    | spl0_65 ),
    inference(sat_conversion,[],[f681]) ).

cnf(s70,plain,
    ( ~ spl0_21
    | spl0_66 ),
    inference(sat_conversion,[],[f686]) ).

cnf(s72,plain,
    ( ~ spl0_40
    | spl0_68 ),
    inference(sat_conversion,[],[f696]) ).

cnf(s73,plain,
    ( ~ spl0_40
    | spl0_69 ),
    inference(sat_conversion,[],[f701]) ).

cnf(s74,plain,
    ( ~ spl0_34
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f706]) ).

cnf(s75,plain,
    ( spl0_46
    | spl0_71 ),
    inference(sat_conversion,[],[f711]) ).

cnf(s76,plain,
    ( spl0_57
    | spl0_72 ),
    inference(sat_conversion,[],[f716]) ).

cnf(s77,plain,
    ( ~ spl0_25
    | spl0_73 ),
    inference(sat_conversion,[],[f721]) ).

cnf(s81,plain,
    ( spl0_42
    | spl0_77 ),
    inference(sat_conversion,[],[f741]) ).

cnf(s82,plain,
    ( ~ spl0_39
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f746]) ).

cnf(s83,plain,
    ( spl0_38
    | spl0_79 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s84,plain,
    ( spl0_38
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f756]) ).

cnf(s85,plain,
    ( spl0_38
    | spl0_81 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s86,plain,
    ( spl0_45
    | spl0_82 ),
    inference(sat_conversion,[],[f766]) ).

cnf(s87,plain,
    ( spl0_45
    | spl0_83 ),
    inference(sat_conversion,[],[f771]) ).

cnf(s88,plain,
    ( ~ spl0_33
    | spl0_84 ),
    inference(sat_conversion,[],[f776]) ).

cnf(s89,plain,
    ( ~ spl0_56
    | spl0_85 ),
    inference(sat_conversion,[],[f781]) ).

cnf(s90,plain,
    ( ~ spl0_56
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f786]) ).

cnf(s91,plain,
    ( spl0_31
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f791]) ).

cnf(s92,plain,
    ( spl0_28
    | spl0_88 ),
    inference(sat_conversion,[],[f796]) ).

cnf(s93,plain,
    ( spl0_28
    | spl0_89 ),
    inference(sat_conversion,[],[f801]) ).

cnf(s94,plain,
    ( spl0_28
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f806]) ).

cnf(s95,plain,
    ( ~ spl0_50
    | spl0_91 ),
    inference(sat_conversion,[],[f811]) ).

cnf(s96,plain,
    ( ~ spl0_50
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f816]) ).

cnf(s97,plain,
    ( ~ spl0_58
    | spl0_93 ),
    inference(sat_conversion,[],[f821]) ).

cnf(s98,plain,
    ( ~ spl0_58
    | spl0_94 ),
    inference(sat_conversion,[],[f826]) ).

cnf(s99,plain,
    ( spl0_20
    | spl0_95 ),
    inference(sat_conversion,[],[f831]) ).

cnf(s100,plain,
    ( spl0_20
    | spl0_96 ),
    inference(sat_conversion,[],[f836]) ).

cnf(s101,plain,
    ( spl0_55
    | spl0_97 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s102,plain,
    ( ~ spl0_54
    | spl0_98 ),
    inference(sat_conversion,[],[f846]) ).

cnf(s103,plain,
    ( ~ spl0_54
    | spl0_99 ),
    inference(sat_conversion,[],[f851]) ).

cnf(s104,plain,
    ( spl0_52
    | spl0_100 ),
    inference(sat_conversion,[],[f856]) ).

cnf(s105,plain,
    ( spl0_52
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f861]) ).

cnf(s111,plain,
    ( spl0_37
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f899]) ).

cnf(s112,plain,
    ( ~ spl0_59
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f904]) ).

cnf(s113,plain,
    ( spl0_44
    | spl0_111 ),
    inference(sat_conversion,[],[f909]) ).

cnf(s114,plain,
    ( spl0_44
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f914]) ).

cnf(s115,plain,
    ( ~ spl0_21
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f919]) ).

cnf(s116,plain,
    ( ~ spl0_21
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f924]) ).

cnf(s117,plain,
    ( ~ spl0_34
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f929]) ).

cnf(s118,plain,
    ( ~ spl0_34
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f934]) ).

cnf(s119,plain,
    ( spl0_46
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f939]) ).

cnf(s120,plain,
    ( spl0_46
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f944]) ).

cnf(s121,plain,
    ( spl0_57
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f949]) ).

cnf(s122,plain,
    ( spl0_57
    | spl0_120 ),
    inference(sat_conversion,[],[f954]) ).

cnf(s123,plain,
    ( ~ spl0_25
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f959]) ).

cnf(s124,plain,
    ( ~ spl0_25
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f964]) ).

cnf(s125,plain,
    ( spl0_42
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f969]) ).

cnf(s126,plain,
    ( spl0_42
    | spl0_124 ),
    inference(sat_conversion,[],[f974]) ).

cnf(s127,plain,
    ( ~ spl0_39
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f979]) ).

cnf(s128,plain,
    ( ~ spl0_39
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f984]) ).

cnf(s129,plain,
    ( spl0_45
    | spl0_127 ),
    inference(sat_conversion,[],[f989]) ).

cnf(s130,plain,
    ( ~ spl0_33
    | spl0_128 ),
    inference(sat_conversion,[],[f994]) ).

cnf(s131,plain,
    ( ~ spl0_33
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f999]) ).

cnf(s132,plain,
    ( ~ spl0_56
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1004]) ).

cnf(s133,plain,
    ( spl0_31
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f1009]) ).

cnf(s134,plain,
    ( spl0_31
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f1014]) ).

cnf(s135,plain,
    ( ~ spl0_50
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1019]) ).

cnf(s136,plain,
    ( ~ spl0_58
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1024]) ).

cnf(s137,plain,
    ( spl0_20
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1029]) ).

cnf(s138,plain,
    ( spl0_55
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f1034]) ).

cnf(s139,plain,
    ( spl0_55
    | spl0_137 ),
    inference(sat_conversion,[],[f1039]) ).

cnf(s140,plain,
    ( ~ spl0_54
    | spl0_138 ),
    inference(sat_conversion,[],[f1044]) ).

cnf(s141,plain,
    ( spl0_52
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1049]) ).

cnf(s146,plain,
    ( spl0_48
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1074]) ).

cnf(s148,plain,
    ( spl0_48
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1084]) ).

cnf(s149,plain,
    ( ~ spl0_24
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1089]) ).

cnf(s151,plain,
    ( ~ spl0_24
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1099]) ).

cnf(s152,plain,
    ( ~ spl0_43
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1104]) ).

cnf(s153,plain,
    ( ~ spl0_43
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1109]) ).

cnf(s154,plain,
    ( ~ spl0_43
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1114]) ).

cnf(s155,plain,
    ( ~ spl0_30
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1119]) ).

cnf(s156,plain,
    ( ~ spl0_30
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1124]) ).

cnf(s157,plain,
    ( ~ spl0_30
    | spl0_155 ),
    inference(sat_conversion,[],[f1129]) ).

cnf(s158,plain,
    ( ~ spl0_20
    | ~ spl0_38
    | ~ spl0_45 ),
    inference(sat_conversion,[],[f1130]) ).

cnf(s159,plain,
    ( ~ spl0_20
    | spl0_30
    | spl0_59 ),
    inference(sat_conversion,[],[f1131]) ).

cnf(s160,plain,
    ( spl0_50
    | ~ spl0_52
    | ~ spl0_55 ),
    inference(sat_conversion,[],[f1132]) ).

cnf(s162,plain,
    ( spl0_43
    | ~ spl0_45
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f1134]) ).

cnf(s167,plain,
    ( ~ spl0_3
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f1139]) ).

cnf(s186,plain,
    ( ~ spl0_3
    | spl0_20 ),
    inference(sat_conversion,[],[f1158]) ).

cnf(s196,plain,
    ( ~ spl0_3
    | ~ spl0_30 ),
    inference(sat_conversion,[],[f1168]) ).

cnf(s218,plain,
    ( ~ spl0_9
    | ~ spl0_14
    | ~ spl0_79
    | spl0_80
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f1296]) ).

cnf(s220,plain,
    ( ~ spl0_13
    | ~ spl0_71
    | spl0_117
    | spl0_118 ),
    inference(sat_conversion,[],[f1305]) ).

cnf(s221,plain,
    ( ~ spl0_7
    | ~ spl0_98
    | ~ spl0_99
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f1307]) ).

cnf(s253,plain,
    ( ~ spl0_13
    | ~ spl0_85
    | spl0_130
    | spl0_164 ),
    inference(sat_conversion,[],[f1442]) ).

cnf(s258,plain,
    ( ~ spl0_4
    | ~ spl0_84
    | ~ spl0_128
    | spl0_129 ),
    inference(sat_conversion,[],[f1471]) ).

cnf(s264,plain,
    ( ~ spl0_10
    | ~ spl0_13
    | spl0_144
    | spl0_146 ),
    inference(sat_conversion,[],[f1499]) ).

cnf(s270,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | ~ spl0_66
    | spl0_114 ),
    inference(sat_conversion,[],[f1525]) ).

cnf(s273,plain,
    ( ~ spl0_19
    | ~ spl0_66
    | spl0_113
    | spl0_158 ),
    inference(sat_conversion,[],[f1531]) ).

cnf(s301,plain,
    ( ~ spl0_23
    | spl0_136
    | ~ spl0_137
    | spl0_168 ),
    inference(sat_conversion,[],[f1614]) ).

cnf(s313,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | ~ spl0_93
    | spl0_134 ),
    inference(sat_conversion,[],[f1673]) ).

cnf(s330,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_94
    | spl0_134 ),
    inference(sat_conversion,[],[f1701]) ).

cnf(s341,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_15
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f1767]) ).

cnf(s344,plain,
    ( ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13
    | spl0_29 ),
    inference(sat_conversion,[],[f1773]) ).

cnf(s352,plain,
    ( ~ spl0_6
    | ~ spl0_84
    | ~ spl0_128
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1788]) ).

cnf(s374,plain,
    ( ~ spl0_9
    | ~ spl0_13
    | ~ spl0_17
    | ~ spl0_18
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f1849]) ).

cnf(s380,plain,
    ( ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_15
    | spl0_149 ),
    inference(sat_conversion,[],[f1871]) ).

cnf(s382,plain,
    ( ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_15
    | spl0_134 ),
    inference(sat_conversion,[],[f1873]) ).

cnf(s386,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_18
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f1885]) ).

cnf(s389,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_82
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f1888]) ).

cnf(s409,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_65
    | spl0_112 ),
    inference(sat_conversion,[],[f1917]) ).

cnf(s418,plain,
    ( ~ spl0_2
    | spl0_87
    | spl0_131
    | spl0_132 ),
    inference(sat_conversion,[],[f1922]) ).

cnf(s419,plain,
    ( ~ spl0_2
    | ~ spl0_19
    | spl0_64
    | spl0_110 ),
    inference(sat_conversion,[],[f1923]) ).

cnf(s424,plain,
    ( ~ spl0_19
    | ~ spl0_63
    | spl0_64
    | spl0_110 ),
    inference(sat_conversion,[],[f1930]) ).

cnf(s462,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_82
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f2011]) ).

cnf(s478,plain,
    ( ~ spl0_19
    | ~ spl0_95
    | spl0_135
    | spl0_156 ),
    inference(sat_conversion,[],[f2032]) ).

cnf(s496,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_72
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f2081]) ).

cnf(s505,plain,
    ( ~ spl0_9
    | ~ spl0_12
    | ~ spl0_79
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f2089]) ).

cnf(s526,plain,
    ( ~ spl0_16
    | ~ spl0_85
    | spl0_86
    | spl0_164 ),
    inference(sat_conversion,[],[f2104]) ).

cnf(s555,plain,
    ( ~ spl0_9
    | ~ spl0_12
    | ~ spl0_82
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f2151]) ).

cnf(s574,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_72
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f2179]) ).

cnf(s620,plain,
    ( ~ spl0_14
    | spl0_64
    | spl0_110
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f2237]) ).

cnf(s638,plain,
    ( ~ spl0_9
    | ~ spl0_18
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f2241]) ).

cnf(s658,plain,
    ( ~ spl0_11
    | ~ spl0_82
    | ~ spl0_83
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f2313]) ).

cnf(s659,plain,
    ( ~ spl0_11
    | ~ spl0_95
    | ~ spl0_96
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f2314]) ).

cnf(s662,plain,
    ( ~ spl0_10
    | spl0_150
    | spl0_151
    | spl0_152 ),
    inference(sat_conversion,[],[f2321]) ).

cnf(s673,plain,
    ( ~ spl0_16
    | ~ spl0_32
    | spl0_78
    | spl0_126 ),
    inference(sat_conversion,[],[f2329]) ).

cnf(s716,plain,
    ( ~ spl0_10
    | ~ spl0_13
    | spl0_150
    | spl0_152 ),
    inference(sat_conversion,[],[f2365]) ).

cnf(s767,plain,
    ( ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13
    | spl0_153
    | spl0_154 ),
    inference(sat_conversion,[],[f2438]) ).

cnf(s784,plain,
    ( ~ spl0_7
    | ~ spl0_97
    | ~ spl0_137
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2474]) ).

cnf(s786,plain,
    ( ~ spl0_41
    | ~ spl0_97
    | spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f2481]) ).

cnf(s813,plain,
    ( ~ spl0_10
    | ~ spl0_13
    | spl0_125
    | spl0_126 ),
    inference(sat_conversion,[],[f2540]) ).

cnf(s830,plain,
    ( ~ spl0_10
    | ~ spl0_13
    | ~ spl0_41
    | spl0_153
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2580]) ).

cnf(s924,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_29
    | ~ spl0_65
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f2772]) ).

cnf(s935,plain,
    ( ~ spl0_16
    | ~ spl0_89
    | spl0_90
    | spl0_173 ),
    inference(sat_conversion,[],[f2780]) ).

cnf(s951,plain,
    ( ~ spl0_6
    | ~ spl0_65
    | ~ spl0_111
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2792]) ).

cnf(s956,plain,
    ( ~ spl0_13
    | ~ spl0_65
    | spl0_112
    | spl0_162 ),
    inference(sat_conversion,[],[f2795]) ).

cnf(s973,plain,
    ( ~ spl0_9
    | ~ spl0_88
    | ~ spl0_89
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f2883]) ).

cnf(s986,plain,
    ( ~ spl0_9
    | ~ spl0_17
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f2914]) ).

cnf(s989,plain,
    ( ~ spl0_2
    | spl0_61
    | spl0_109
    | spl0_180 ),
    inference(sat_conversion,[],[f2933]) ).

cnf(s990,plain,
    ( ~ spl0_2
    | ~ spl0_41
    | ~ spl0_73
    | spl0_121
    | spl0_122 ),
    inference(sat_conversion,[],[f2935]) ).

cnf(s993,plain,
    ( ~ spl0_5
    | ~ spl0_62
    | spl0_109
    | spl0_180 ),
    inference(sat_conversion,[],[f2942]) ).

cnf(s1005,plain,
    ( ~ spl0_23
    | spl0_153
    | spl0_154
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2959]) ).

cnf(s1010,plain,
    ( ~ spl0_2
    | ~ spl0_23
    | spl0_121
    | spl0_122 ),
    inference(sat_conversion,[],[f2994]) ).

cnf(s1014,plain,
    ( ~ spl0_2
    | ~ spl0_23
    | spl0_150
    | spl0_151 ),
    inference(sat_conversion,[],[f3001]) ).

cnf(s1037,plain,
    ( ~ spl0_15
    | ~ spl0_91
    | spl0_92
    | spl0_133 ),
    inference(sat_conversion,[],[f3087]) ).

cnf(s1038,plain,
    ( ~ spl0_2
    | ~ spl0_15
    | spl0_70
    | spl0_115
    | spl0_116 ),
    inference(sat_conversion,[],[f3088]) ).

cnf(s1046,plain,
    ( ~ spl0_2
    | ~ spl0_22
    | ~ spl0_23
    | spl0_113
    | spl0_114 ),
    inference(sat_conversion,[],[f3142]) ).

cnf(s1051,plain,
    ( ~ spl0_2
    | ~ spl0_22
    | ~ spl0_23
    | spl0_129
    | spl0_165 ),
    inference(sat_conversion,[],[f3151]) ).

cnf(s1058,plain,
    ( ~ spl0_1
    | ~ spl0_85
    | spl0_86
    | spl0_130 ),
    inference(sat_conversion,[],[f3165]) ).

cnf(s1101,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f3227]) ).

cnf(s1104,plain,
    ( ~ spl0_10
    | spl0_115
    | spl0_116
    | spl0_182 ),
    inference(sat_conversion,[],[f3231]) ).

cnf(s1111,plain,
    ( ~ spl0_16
    | ~ spl0_94
    | spl0_134
    | spl0_170 ),
    inference(sat_conversion,[],[f3235]) ).

cnf(s1127,plain,
    ( ~ spl0_1
    | ~ spl0_71
    | spl0_117
    | spl0_171 ),
    inference(sat_conversion,[],[f3248]) ).

cnf(s1146,plain,
    ( ~ spl0_5
    | ~ spl0_97
    | spl0_136
    | spl0_168 ),
    inference(sat_conversion,[],[f3258]) ).

cnf(s1159,plain,
    ( ~ spl0_16
    | ~ spl0_100
    | spl0_101
    | spl0_139 ),
    inference(sat_conversion,[],[f3265]) ).

cnf(s1172,plain,
    ( ~ spl0_8
    | ~ spl0_66
    | spl0_113
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f3339]) ).

cnf(s1173,plain,
    ( ~ spl0_8
    | ~ spl0_72
    | spl0_119
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f3341]) ).

cnf(s1190,plain,
    ( ~ spl0_5
    | ~ spl0_10
    | spl0_131
    | spl0_132 ),
    inference(sat_conversion,[],[f3377]) ).

cnf(s1197,plain,
    ( ~ spl0_4
    | ~ spl0_66
    | spl0_114
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f3397]) ).

cnf(s1211,plain,
    ( ~ spl0_6
    | ~ spl0_27
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f3411]) ).

cnf(s1244,plain,
    ( ~ spl0_12
    | ~ spl0_62
    | spl0_109
    | ~ spl0_180 ),
    inference(sat_conversion,[],[f3537]) ).

cnf(s1248,plain,
    ( ~ spl0_12
    | ~ spl0_82
    | ~ spl0_83
    | spl0_161 ),
    inference(sat_conversion,[],[f3544]) ).

cnf(s1259,plain,
    ( ~ spl0_6
    | ~ spl0_82
    | ~ spl0_127
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f3555]) ).

cnf(s1260,plain,
    ( ~ spl0_7
    | ~ spl0_83
    | ~ spl0_127
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f3556]) ).

cnf(s1261,plain,
    ( ~ spl0_12
    | ~ spl0_82
    | ~ spl0_83
    | spl0_161 ),
    inference(sat_conversion,[],[f3557]) ).

cnf(s1263,plain,
    ( ~ spl0_12
    | ~ spl0_95
    | ~ spl0_96
    | spl0_135 ),
    inference(sat_conversion,[],[f3559]) ).

cnf(s1270,plain,
    ( ~ spl0_14
    | spl0_61
    | ~ spl0_62
    | spl0_109 ),
    inference(sat_conversion,[],[f3592]) ).

cnf(s1283,plain,
    ( ~ spl0_15
    | spl0_70
    | spl0_116
    | ~ spl0_182 ),
    inference(sat_conversion,[],[f3607]) ).

cnf(s1295,plain,
    ( ~ spl0_15
    | ~ spl0_88
    | spl0_90
    | spl0_173 ),
    inference(sat_conversion,[],[f3613]) ).

cnf(s1306,plain,
    ( ~ spl0_15
    | ~ spl0_66
    | spl0_114
    | spl0_158 ),
    inference(sat_conversion,[],[f3683]) ).

cnf(s1307,plain,
    ( ~ spl0_15
    | ~ spl0_63
    | spl0_64
    | spl0_157 ),
    inference(sat_conversion,[],[f3684]) ).

cnf(s1309,plain,
    ( ~ spl0_17
    | ~ spl0_65
    | spl0_112
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f3700]) ).

cnf(s1310,plain,
    ( ~ spl0_17
    | ~ spl0_93
    | ~ spl0_94
    | spl0_134 ),
    inference(sat_conversion,[],[f3702]) ).

cnf(s1320,plain,
    ( ~ spl0_12
    | ~ spl0_63
    | spl0_110
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f3722]) ).

cnf(s1344,plain,
    ( ~ spl0_7
    | ~ spl0_36
    | ~ spl0_65
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f3749]) ).

cnf(s1377,plain,
    ( ~ spl0_6
    | ~ spl0_93
    | ~ spl0_94
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f3774]) ).

cnf(s1392,plain,
    ( ~ spl0_6
    | ~ spl0_29
    | ~ spl0_77
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f3793]) ).

cnf(s1394,plain,
    ( ~ spl0_6
    | ~ spl0_29
    | ~ spl0_137
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f3795]) ).

cnf(s1395,plain,
    ( ~ spl0_6
    | ~ spl0_15
    | spl0_17
    | ~ spl0_29 ),
    inference(sat_conversion,[],[f3796]) ).

cnf(s1409,plain,
    ( ~ spl0_18
    | ~ spl0_85
    | spl0_130
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f3852]) ).

cnf(s1417,plain,
    ( ~ spl0_10
    | ~ spl0_22
    | spl0_113
    | spl0_114 ),
    inference(sat_conversion,[],[f3875]) ).

cnf(s1419,plain,
    ( ~ spl0_10
    | ~ spl0_22
    | spl0_129
    | spl0_165 ),
    inference(sat_conversion,[],[f3877]) ).

cnf(s1423,plain,
    ( ~ spl0_10
    | ~ spl0_22
    | spl0_147
    | spl0_149 ),
    inference(sat_conversion,[],[f3884]) ).

cnf(s1424,plain,
    ( spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f3885]) ).

cnf(s1430,plain,
    ( ~ spl0_29
    | ~ spl0_65
    | ~ spl0_111
    | spl0_162 ),
    inference(sat_conversion,[],[f3927]) ).

cnf(s1431,plain,
    ( ~ spl0_29
    | ~ spl0_71
    | spl0_117
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f3928]) ).

cnf(s1432,plain,
    ( ~ spl0_29
    | ~ spl0_77
    | spl0_123
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f3930]) ).

cnf(s1433,plain,
    ( spl0_11
    | spl0_9
    | spl0_12
    | spl0_3 ),
    inference(rat,[],[s220,s75,s119,s120,s40,s5]) ).

cnf(s1434,plain,
    ( ~ spl0_33
    | ~ spl0_4 ),
    inference(rat,[],[s258,s88,s130,s131]) ).

cnf(s1435,plain,
    ( spl0_46
    | ~ spl0_13 ),
    inference(rat,[],[s220,s75,s119,s120]) ).

cnf(s1437,plain,
    ( spl0_44
    | ~ spl0_15
    | ~ spl0_13
    | ~ spl0_4 ),
    inference(rat,[],[s409,s69,s114]) ).

cnf(s1438,plain,
    ( ~ spl0_59
    | ~ spl0_15
    | ~ spl0_14 ),
    inference(rat,[],[s1307,s620,s67,s68,s112]) ).

cnf(s1439,plain,
    ( ~ spl0_15
    | ~ spl0_14
    | ~ spl0_4
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s270,s70,s116,s57,s1438]) ).

cnf(s1440,plain,
    ( ~ spl0_21
    | ~ spl0_19
    | ~ spl0_4 ),
    inference(rat,[],[s273,s1197,s70,s115,s116]) ).

cnf(s1441,plain,
    ( ~ spl0_19
    | ~ spl0_4
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s424,s67,s68,s112,s57,s1440]) ).

cnf(s1442,plain,
    ( ~ spl0_15
    | ~ spl0_13
    | spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s28,s1437,s1439,s1]) ).

cnf(s1443,plain,
    ( spl0_12
    | spl0_11
    | spl0_5
    | spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s813,s127,s128,s24,s374,s81,s26,s830,s155,s157,s55,s1442,s1433,s5,s17,s1434,s8,s1441,s1]) ).

cnf(s1444,plain,
    ( ~ spl0_13
    | ~ spl0_12
    | spl0_11
    | spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s555,s86,s87,s30,s40,s1442,s1435]) ).

cnf(s1445,plain,
    ( ~ spl0_59
    | ~ spl0_15
    | ~ spl0_12 ),
    inference(rat,[],[s1307,s1320,s67,s68,s112]) ).

cnf(s1446,plain,
    ( ~ spl0_15
    | ~ spl0_12
    | ~ spl0_4
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s270,s70,s116,s57,s1445]) ).

cnf(s1447,plain,
    ( ~ spl0_12
    | ~ spl0_6
    | ~ spl0_4
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s1259,s1261,s86,s87,s129,s30,s1446]) ).

cnf(s1448,plain,
    ( spl0_45
    | ~ spl0_11
    | ~ spl0_4 ),
    inference(rat,[],[s462,s86,s129]) ).

cnf(s1449,plain,
    ( ~ spl0_11
    | ~ spl0_4
    | spl0_3
    | spl0_2 ),
    inference(rat,[],[s496,s76,s122,s51,s1448]) ).

cnf(s1450,plain,
    ( spl0_12
    | spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s767,s155,s156,s55,s1442,s5,s1443,s17,s1441,s1434,s1449,s1]) ).

cnf(s1451,plain,
    ( spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s993,s1244,s66,s111,s2,s22,s1447,s1446,s1444,s1450,s1449,s1]) ).

cnf(s1452,plain,
    ~ spl0_3,
    inference(rat,[],[s159,s167,s186,s196]) ).

cnf(s1453,plain,
    ( spl0_23
    | spl0_21
    | spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s1423,s149,s151,s10,s11,s1452]) ).

cnf(s1454,plain,
    ( ~ spl0_30
    | ~ spl0_23 ),
    inference(rat,[],[s1005,s155,s156,s157]) ).

cnf(s1455,plain,
    ( spl0_57
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(rat,[],[s496,s76,s122]) ).

cnf(s1456,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_1 ),
    inference(rat,[],[s662,s152,s153,s154,s162,s1455,s17,s1448,s1441,s1434,s1452]) ).

cnf(s1457,plain,
    ( spl0_45
    | ~ spl0_11 ),
    inference(rat,[],[s658,s86,s87,s129]) ).

cnf(s1459,plain,
    ( spl0_28
    | ~ spl0_27
    | ~ spl0_6 ),
    inference(rat,[],[s1211,s92,s93]) ).

cnf(s1460,plain,
    ( spl0_42
    | ~ spl0_29
    | ~ spl0_6 ),
    inference(rat,[],[s1392,s81,s126]) ).

cnf(s1461,plain,
    ( ~ spl0_25
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(rat,[],[s1010,s123,s124]) ).

cnf(s1462,plain,
    ( ~ spl0_34
    | ~ spl0_15
    | ~ spl0_2 ),
    inference(rat,[],[s1038,s74,s117,s118]) ).

cnf(s1463,plain,
    ( spl0_21
    | spl0_13
    | ~ spl0_15
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s1461,s1453,s61,s4,s638,s72,s73,s8,s59,s419,s1438,s68,s112,s57,s1462,s1451,s1452]) ).

cnf(s1464,plain,
    ( spl0_55
    | ~ spl0_29
    | ~ spl0_23
    | ~ spl0_6 ),
    inference(rat,[],[s301,s1394,s138,s139]) ).

cnf(s1465,plain,
    ( ~ spl0_54
    | ~ spl0_7 ),
    inference(rat,[],[s221,s102,s103,s140]) ).

cnf(s1466,plain,
    ( spl0_52
    | ~ spl0_16 ),
    inference(rat,[],[s1159,s104,s105,s141]) ).

cnf(s1467,plain,
    ( spl0_31
    | ~ spl0_2 ),
    inference(rat,[],[s418,s91,s133,s134]) ).

cnf(s1468,plain,
    ( ~ spl0_58
    | ~ spl0_17 ),
    inference(rat,[],[s1310,s97,s98,s136]) ).

cnf(s1469,plain,
    ( ~ spl0_50
    | ~ spl0_15 ),
    inference(rat,[],[s1037,s95,s96,s135]) ).

cnf(s1470,plain,
    ( ~ spl0_21
    | spl0_12
    | ~ spl0_10
    | ~ spl0_15
    | spl0_4
    | ~ spl0_31 ),
    inference(rat,[],[s673,s82,s128,s7,s24,s1468,s49,s1432,s81,s125,s126,s1146,s26,s784,s786,s101,s138,s139,s45,s1465,s16,s3,s1172,s1306,s1417,s70,s115,s116,s1469,s1452]) ).

cnf(s1471,plain,
    ( spl0_21
    | ~ spl0_11
    | spl0_1 ),
    inference(rat,[],[s8,s1409,s419,s253,s68,s112,s1463,s57,s30,s1457,s132,s89,s46,s1467,s1451,s1456,s1452]) ).

cnf(s1472,plain,
    ( spl0_20
    | ~ spl0_12 ),
    inference(rat,[],[s1263,s99,s100,s137]) ).

cnf(s1473,plain,
    ( spl0_37
    | ~ spl0_12
    | ~ spl0_2 ),
    inference(rat,[],[s989,s1244,s65,s66,s111]) ).

cnf(s1474,plain,
    ( ~ spl0_10
    | ~ spl0_21
    | ~ spl0_15
    | ~ spl0_45
    | spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s264,s146,s148,s63,s1435,s35,s1473,s505,s83,s85,s158,s1472,s1470,s1467,s1452]) ).

cnf(s1475,plain,
    ( ~ spl0_25
    | ~ spl0_41
    | ~ spl0_2 ),
    inference(rat,[],[s990,s77,s123,s124]) ).

cnf(s1476,plain,
    ( ~ spl0_6
    | ~ spl0_29
    | spl0_12
    | spl0_54
    | spl0_113
    | spl0_114
    | ~ spl0_2 ),
    inference(rat,[],[s45,s1464,s1046,s19,s1475,s26,s1460,s1452]) ).

cnf(s1477,plain,
    ( ~ spl0_11
    | spl0_1 ),
    inference(rat,[],[s1432,s81,s125,s126,s26,s1475,s19,s1454,s15,s1476,s49,s1468,s7,s526,s1409,s8,s478,s659,s1472,s99,s100,s137,s9,s1474,s1465,s3,s1172,s1306,s70,s115,s116,s1471,s1469,s89,s90,s132,s46,s30,s1457,s1456,s1467,s1451,s1452]) ).

cnf(s1478,plain,
    ( ~ spl0_15
    | spl0_18
    | ~ spl0_6
    | ~ spl0_9
    | spl0_12
    | spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s973,s1295,s92,s93,s94,s14,s1460,s26,s786,s101,s138,s139,s160,s1466,s33,s1469,s1462,s1452]) ).

cnf(s1479,plain,
    ( ~ spl0_10
    | ~ spl0_7
    | spl0_15
    | ~ spl0_13
    | spl0_12
    | ~ spl0_2 ),
    inference(rat,[],[s352,s1419,s88,s130,s131,s45,s55,s1464,s1454,s19,s1475,s26,s1460,s344,s32,s1435,s1465,s1452]) ).

cnf(s1480,plain,
    ( spl0_28
    | ~ spl0_9
    | spl0_12 ),
    inference(rat,[],[s7,s935,s986,s973,s92,s93,s94,s1452]) ).

cnf(s1481,plain,
    ( spl0_12
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s352,s1051,s88,s130,s131,s45,s55,s1464,s1454,s19,s1475,s26,s1460,s14,s1480,s1465,s3,s389,s86,s129,s30,s1478,s1409,s32,s253,s1435,s1433,s5,s1477,s132,s89,s46,s1467,s1451,s1452]) ).

cnf(s1482,plain,
    ( ~ spl0_15
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s1260,s1248,s86,s87,s129,s1474,s9,s3,s1172,s1306,s70,s115,s116,s57,s1445,s1451,s1472,s1481,s1452]) ).

cnf(s1483,plain,
    ( spl0_4
    | spl0_1 ),
    inference(rat,[],[s40,s555,s1435,s86,s87,s22,s30,s1482,s1473,s1481,s1451,s1477,s1452]) ).

cnf(s1484,plain,
    ( ~ spl0_15
    | spl0_12
    | spl0_1 ),
    inference(rat,[],[s1464,s19,s160,s1475,s1466,s26,s38,s49,s81,s151,s136,s386,s380,s382,s1439,s1469,s1451,s8,s17,s1441,s1434,s1483,s1433,s32,s1435,s5,s1477,s1452]) ).

cnf(s1485,plain,
    ( spl0_12
    | spl0_1 ),
    inference(rat,[],[s716,s152,s154,s34,s1479,s1484,s5,s1451,s1477,s17,s1441,s1434,s1483,s1452]) ).

cnf(s1486,plain,
    spl0_1,
    inference(rat,[],[s40,s555,s1435,s86,s87,s22,s30,s1473,s1446,s1485,s1483,s1477,s1451,s1452]) ).

cnf(s1487,plain,
    ~ spl0_56,
    inference(rat,[],[s1058,s89,s90,s132,s1486]) ).

cnf(s1488,plain,
    ( ~ spl0_11
    | ~ spl0_2
    | spl0_12 ),
    inference(rat,[],[s478,s659,s99,s100,s137,s48,s1432,s81,s125,s126,s26,s1475,s17,s19,s662,s1014,s152,s153,s154,s162,s1455,s1457,s1434,s46,s1467,s1452,s1487]) ).

cnf(s1489,plain,
    ( ~ spl0_29
    | ~ spl0_15
    | ~ spl0_2
    | spl0_12 ),
    inference(rat,[],[s1464,s160,s19,s104,s1475,s1101,s26,s1395,s1460,s1433,s32,s1435,s5,s1488,s1469,s1452,s1486]) ).

cnf(s1490,plain,
    ( ~ spl0_15
    | ~ spl0_2
    | spl0_12 ),
    inference(rat,[],[s330,s98,s136,s49,s1489,s1469,s46,s1467,s5,s1488,s1452,s1487]) ).

cnf(s1491,plain,
    ( ~ spl0_2
    | spl0_12 ),
    inference(rat,[],[s264,s146,s148,s39,s1479,s218,s17,s83,s84,s85,s1440,s54,s56,s1490,s1433,s5,s1488,s1434,s46,s1467,s1452,s1487]) ).

cnf(s1492,plain,
    ( spl0_29
    | spl0_50
    | spl0_4
    | spl0_12 ),
    inference(rat,[],[s1377,s2,s1111,s1190,s7,s4,s1468,s97,s98,s136,s1480,s49,s14,s1491,s134,s133,s46,s1452,s1487]) ).

cnf(s1493,plain,
    ( ~ spl0_10
    | ~ spl0_29
    | spl0_54
    | ~ spl0_11
    | spl0_31
    | spl0_12 ),
    inference(rat,[],[s26,s786,s1460,s101,s138,s139,s2,s45,s1190,s1424,s134,s133,s1173,s76,s121,s122,s51,s1457,s1491,s1452]) ).

cnf(s1494,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | ~ spl0_29
    | ~ spl0_15
    | spl0_12 ),
    inference(rat,[],[s786,s101,s138,s139,s160,s104,s1101,s26,s1395,s1460,s1469,s1486,s1452]) ).

cnf(s1495,plain,
    ( ~ spl0_9
    | ~ spl0_29
    | spl0_12
    | ~ spl0_15 ),
    inference(rat,[],[s1431,s1127,s75,s119,s32,s1494,s1452,s1486]) ).

cnf(s1496,plain,
    ( ~ spl0_15
    | ~ spl0_11
    | spl0_4
    | spl0_12 ),
    inference(rat,[],[s1495,s4,s1493,s1492,s1469,s46,s1465,s3,s1173,s76,s121,s122,s51,s1457,s1491,s1452,s1487]) ).

cnf(s1497,plain,
    ( ~ spl0_11
    | spl0_4
    | spl0_12 ),
    inference(rat,[],[s1270,s65,s66,s111,s35,s344,s1493,s4,s218,s83,s84,s85,s6,s54,s1496,s1465,s3,s1173,s76,s121,s122,s51,s1457,s1491,s46,s1452,s1487]) ).

cnf(s1498,plain,
    ( spl0_4
    | spl0_12 ),
    inference(rat,[],[s951,s956,s69,s113,s114,s28,s218,s83,s84,s85,s54,s1495,s14,s32,s1480,s1435,s1433,s5,s1497,s1491,s1452,s1487]) ).

cnf(s1499,plain,
    ( ~ spl0_15
    | spl0_12 ),
    inference(rat,[],[s313,s97,s136,s49,s1495,s1469,s1433,s1449,s1498,s1491,s1452]) ).

cnf(s1500,plain,
    spl0_12,
    inference(rat,[],[s951,s956,s69,s113,s114,s28,s218,s83,s84,s85,s54,s1499,s32,s1435,s1433,s5,s1449,s1498,s1491,s1452,s1487]) ).

cnf(s1501,plain,
    spl0_20,
    inference(rat,[],[s1472,s1500]) ).

cnf(s1502,plain,
    ( spl0_29
    | spl0_4
    | ~ spl0_15 ),
    inference(rat,[],[s1104,s1283,s74,s117,s118,s50,s1344,s69,s113,s28,s1270,s65,s66,s111,s35,s813,s13,s127,s128,s1459,s24,s2,s1190,s4,s973,s1295,s1468,s92,s93,s94,s49,s14,s1469,s1445,s134,s133,s1467,s46,s1452,s1487,s1500]) ).

cnf(s1503,plain,
    ( spl0_44
    | ~ spl0_17
    | ~ spl0_29 ),
    inference(rat,[],[s1430,s1309,s69,s113,s114]) ).

cnf(s1504,plain,
    ( spl0_37
    | ~ spl0_14 ),
    inference(rat,[],[s1270,s65,s66,s111]) ).

cnf(s1505,plain,
    ( ~ spl0_45
    | spl0_4
    | ~ spl0_15 ),
    inference(rat,[],[s264,s146,s148,s63,s1435,s35,s1504,s28,s1503,s1395,s2,s1190,s9,s505,s1173,s83,s85,s76,s121,s122,s158,s51,s134,s133,s1467,s46,s1502,s1452,s1501,s1500,s1487]) ).

cnf(s1506,plain,
    ( spl0_4
    | ~ spl0_15 ),
    inference(rat,[],[s1190,s2,s4,s1259,s555,s1248,s86,s87,s129,s1505,s1467,s133,s134,s46,s1452,s1500,s1487]) ).

cnf(s1507,plain,
    ( spl0_9
    | ~ spl0_37
    | ~ spl0_15 ),
    inference(rat,[],[s1455,s62,s40,s1437,s1435,s35,s1506,s1452]) ).

cnf(s1508,plain,
    ( ~ spl0_9
    | ~ spl0_15
    | ~ spl0_4 ),
    inference(rat,[],[s505,s83,s85,s158,s86,s341,s1501,s1500]) ).

cnf(s1509,plain,
    ~ spl0_15,
    inference(rat,[],[s313,s97,s136,s49,s924,s2,s69,s113,s993,s28,s1244,s1504,s1473,s66,s111,s1507,s1508,s1506,s1469,s1452,s1486,s1500]) ).

cnf(s1510,plain,
    ~ spl0_38,
    inference(rat,[],[s54,s1487,s1452,s1509]) ).

cnf(s1511,plain,
    spl0_81,
    inference(rat,[],[s85,s1510]) ).

cnf(s1513,plain,
    spl0_79,
    inference(rat,[],[s83,s1510]) ).

cnf(s1514,plain,
    ~ spl0_9,
    inference(rat,[],[s505,s1511,s1500,s1513]) ).

cnf(s1515,plain,
    ( spl0_57
    | ~ spl0_8
    | ~ spl0_6 ),
    inference(rat,[],[s574,s76,s122]) ).

cnf(s1516,plain,
    ( ~ spl0_8
    | spl0_4 ),
    inference(rat,[],[s389,s86,s129,s51,s1515,s2,s1190,s4,s133,s134,s1467,s46,s1452,s1487,s1514]) ).

cnf(s1517,plain,
    spl0_4,
    inference(rat,[],[s264,s146,s148,s63,s1435,s22,s1504,s6,s1516,s4,s1452,s1514,s1509]) ).

cnf(s1518,plain,
    ~ spl0_33,
    inference(rat,[],[s1434,s1517]) ).

cnf(s1520,plain,
    spl0_21,
    inference(rat,[],[s56,s1452,s1509,s1518]) ).

cnf(s1528,plain,
    ~ spl0_19,
    inference(rat,[],[s1440,s1517,s1520]) ).

cnf(s1530,plain,
    spl0_10,
    inference(rat,[],[s17,s1518,s1452,s1528]) ).

cnf(s1532,plain,
    ~ spl0_13,
    inference(rat,[],[s264,s146,s148,s63,s1435,s1530,s1452,s1514]) ).

cnf(s1533,plain,
    ~ spl0_37,
    inference(rat,[],[s35,s1514,s1452,s1532]) ).

cnf(s1535,plain,
    ~ spl0_109,
    inference(rat,[],[s111,s1533]) ).

cnf(s1536,plain,
    spl0_62,
    inference(rat,[],[s66,s1533]) ).

cnf(s1538,plain,
    ~ spl0_2,
    inference(rat,[],[s1473,s1500,s1533]) ).

cnf(s1539,plain,
    ~ spl0_14,
    inference(rat,[],[s1504,s1533]) ).

cnf(s1543,plain,
    ~ spl0_180,
    inference(rat,[],[s1244,s1535,s1500,s1536]) ).

cnf(s1546,plain,
    spl0_8,
    inference(rat,[],[s6,s1509,s1452,s1539]) ).

cnf(s1547,plain,
    ~ spl0_5,
    inference(rat,[],[s993,s1535,s1536,s1543]) ).

cnf(s1552,plain,
    spl0_6,
    inference(rat,[],[s2,s1452,s1538,s1547]) ).

cnf(s1558,plain,
    spl0_57,
    inference(rat,[],[s1515,s1546,s1552]) ).

cnf(s1562,plain,
    ~ spl0_45,
    inference(rat,[],[s51,s1452,s1538,s1558]) ).

cnf(s1568,plain,
    spl0_127,
    inference(rat,[],[s129,s1562]) ).

cnf(s1570,plain,
    spl0_82,
    inference(rat,[],[s86,s1562]) ).

cnf(s1578,plain,
    $false,
    inference(rat,[],[s389,s1552,s1546,s1568,s1570]) ).

fof(f3931,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1578]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN472-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23  % Computer : n013.cluster.edu
% 0.10/0.23  % Model    : x86_64 x86_64
% 0.10/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23  % Memory   : 8046.5625MB
% 0.10/0.23  % OS       : Linux 6.8.0-71-generic
% 0.10/0.23  % CPULimit : 300
% 0.10/0.23  % WCLimit  : 300
% 0.10/0.23  % DateTime : Mon Sep 28 16:10:52 UTC 2026
% 0.10/0.24  % CPUTime  : 
% 0.10/0.24  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.28  Running first-order model finding
% 0.10/0.28  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.25/0.37  % (1303479)Will run a generic schedule for satisfiability detection.
% 0.25/0.37  % (1303485)% WARNING: option uhcvi not known.
% 0.25/0.37  % (1303485)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1250947863:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.25/0.37  % (1303484)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2751584843_2999 on theBenchmark for (2999ds/0Mi)
% 0.25/0.37  % Detected minimum model sizes of [1]
% 0.25/0.37  % Detected maximum model sizes of [31]
% 0.25/0.37  % TRYING [1]
% 0.25/0.37  % TRYING [2]
% 0.25/0.37  % (1303486)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3400216306:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.25/0.37  % (1303488)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4100659769:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.25/0.37  % (1303487)dis+10_1_sil=32000:sp=arity:random_seed=1950319767:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.25/0.37  % TRYING [3]
% 0.25/0.37  % (1303489)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=834636233:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.25/0.37  % (1303490)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1187502479:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.25/0.37  % TRYING [4]
% 0.25/0.37  % (1303485) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1303479-1303485"...
% 0.25/0.37  % (1303490) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1303479-1303490"...
% 0.25/0.37  % (1303485)...printing done.
% 0.25/0.37  % (1303485)Refutation found. Thanks to Tanya!
% 0.25/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.25/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.38  % (1303485)------------------------------
% 0.25/0.38  % (1303485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.38  % (1303485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.38  % (1303485)CaDiCaL version: 2.1.3
% 0.25/0.38  % (1303485)Termination reason: Refutation
% 0.25/0.38  % (1303485)Time elapsed: 0.046 s
% 0.25/0.38  % (1303485)Peak memory usage: 14 MB
% 0.25/0.38  % (1303485)Instructions burned: 97 (million)
% 0.25/0.38  % (1303479)Success in time 0.075 s
% 0.25/0.38  % Vampire exiting
%------------------------------------------------------------------------------