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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN466-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n011.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 02:09:55 PM UTC 2026

% Result   : Unsatisfiable 0.44s 0.28s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( hskp25
    | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

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

fof(f3,negated_conjecture,
    ( ~ hskp30
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

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

fof(f34,negated_conjecture,
    ( hskp31
    | hskp30
    | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f35,negated_conjecture,
    ( hskp5
    | hskp15
    | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f36,negated_conjecture,
    ( hskp5
    | hskp16
    | hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f37,negated_conjecture,
    ( hskp5
    | hskp4
    | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f41,negated_conjecture,
    ( ~ hskp31
    | c0_1(a141) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( ~ hskp31
    | c1_1(a141) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( ~ hskp31
    | c3_1(a141) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp30
    | c0_1(a131) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp30
    | c2_1(a131) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp30
    | c3_1(a131) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp29
    | c0_1(a128) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp29
    | c1_1(a128) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp29
    | c2_1(a128) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( ~ hskp28
    | c1_1(a118) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp28
    | c2_1(a118) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp28
    | c3_1(a118) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f55,negated_conjecture,
    ( ~ hskp25
    | c1_1(a167) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( ~ hskp21
    | c3_1(a143) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( ~ hskp20
    | c0_1(a139) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( ~ hskp19
    | c0_1(a135) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp18
    | c0_1(a134) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp18
    | c3_1(a134) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp17
    | c3_1(a132) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp16
    | c1_1(a126) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp16
    | c3_1(a126) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp15
    | c0_1(a117) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( ~ hskp15
    | c3_1(a117) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( ~ hskp14
    | c0_1(a116) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( ~ hskp14
    | c2_1(a116) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp13
    | c1_1(a114) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp13
    | c2_1(a114) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp12
    | c3_1(a113) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp11
    | c1_1(a112) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp9
    | c2_1(a110) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp8
    | c1_1(a109) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f76,negated_conjecture,
    ( ~ hskp6
    | c1_1(a107) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp6
    | c2_1(a107) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp5
    | c0_1(a106) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp5
    | c1_1(a106) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp4
    | c2_1(a105) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp4
    | c3_1(a105) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp3
    | c0_1(a104) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ hskp3
    | c2_1(a104) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ hskp2
    | c0_1(a103) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f86,negated_conjecture,
    ( ~ hskp1
    | c2_1(a102) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f93,negated_conjecture,
    ( ~ c0_1(a167)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ c2_1(a167)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ c1_1(a163)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ c2_1(a163)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ c3_1(a163)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ c0_1(a153)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c1_1(a153)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c3_1(a153)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ c0_1(a145)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ c1_1(a145)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ c2_1(a145)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ c1_1(a143)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ c2_1(a143)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c1_1(a139)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c3_1(a139)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c2_1(a135)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ c3_1(a135)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c2_1(a134)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ c0_1(a132)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ c1_1(a132)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ c2_1(a126)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c1_1(a117)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c3_1(a116)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c3_1(a114)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c0_1(a113)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c2_1(a113)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ c2_1(a112)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ c3_1(a112)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c0_1(a111)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c2_1(a111)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ c3_1(a111)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ c1_1(a110)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ c3_1(a110)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ c0_1(a109)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ c3_1(a109)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f130,negated_conjecture,
    ( ~ c2_1(a106)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ( ~ c1_1(a105)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( ~ c1_1(a104)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f133,negated_conjecture,
    ( ~ c3_1(a103)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ( ~ c0_1(a102)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f135,negated_conjecture,
    ( ~ c1_1(a102)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

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

fof(f142,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp15
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp19
      | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f147,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp19
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f150,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp29
      | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f151,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp31
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f154,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp4
      | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f156,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp29
      | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f157,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp1
      | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f160,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp13
      | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f161,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp19
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f165,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f167,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f168,negated_conjecture,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X0)
      | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f171,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f172,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f173,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f175,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X1)
      | c1_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f180,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f184,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f187,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

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

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

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

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

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

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

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

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

fof(f196,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).

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

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

fof(f201,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f202,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f201]) ).

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

fof(f208,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f209,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f210,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f196,f208,f204,f201,f198]) ).

fof(f212,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f213,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f215,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f216,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f218,definition,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f219,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f220,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f195,f218,f204,f215,f212]) ).

fof(f222,definition,
    ( spl0_8
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f223,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f225,definition,
    ( spl0_9
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f226,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f227,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f194,f201,f204,f225,f222]) ).

fof(f229,definition,
    ( spl0_10
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f230,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f232,definition,
    ( spl0_11
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f233,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f234,plain,
    ( spl0_1
    | spl0_10
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f193,f232,f204,f229,f198]) ).

fof(f236,definition,
    ( spl0_12
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f237,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f239,definition,
    ( spl0_13
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f240,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f241,plain,
    ( spl0_12
    | spl0_13
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f192,f208,f204,f239,f236]) ).

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

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

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

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

fof(f248,plain,
    ( spl0_14
    | spl0_13
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f191,f246,f204,f239,f243]) ).

fof(f250,definition,
    ( spl0_16
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f251,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f253,definition,
    ( spl0_17
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f254,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f255,plain,
    ( spl0_14
    | spl0_16
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f190,f253,f204,f250,f243]) ).

fof(f257,definition,
    ( spl0_18
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f258,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f259,plain,
    ( spl0_1
    | spl0_18
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f189,f215,f204,f257,f198]) ).

fof(f261,definition,
    ( spl0_19
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f262,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f264,definition,
    ( spl0_20
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f265,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f266,plain,
    ( spl0_19
    | spl0_20
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f188,f208,f204,f264,f261]) ).

fof(f268,definition,
    ( spl0_21
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f269,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f271,definition,
    ( spl0_22
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f272,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f274,definition,
    ( spl0_23
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f275,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f276,plain,
    ( spl0_21
    | spl0_22
    | ~ spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f187,f274,f204,f271,f268]) ).

fof(f278,definition,
    ( spl0_24
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f283,definition,
    ( spl0_25
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f291,definition,
    ( spl0_27
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f294,plain,
    ( spl0_27
    | spl0_6
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f184,f246,f204,f215,f291]) ).

fof(f296,definition,
    ( spl0_28
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f300,definition,
    ( spl0_29
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f301,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f302,plain,
    ( spl0_28
    | spl0_17
    | ~ spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f183,f300,f204,f253,f296]) ).

fof(f304,definition,
    ( spl0_30
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f311,plain,
    ( spl0_30
    | spl0_5
    | ~ spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f181,f274,f204,f212,f304]) ).

fof(f313,definition,
    ( spl0_32
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f316,plain,
    ( spl0_32
    | spl0_5
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f180,f253,f204,f212,f313]) ).

fof(f323,definition,
    ( spl0_34
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f327,definition,
    ( spl0_35
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f328,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f331,definition,
    ( spl0_36
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f335,plain,
    ( spl0_34
    | spl0_20
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f176,f232,f204,f264,f323]) ).

fof(f337,definition,
    ( spl0_37
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f340,plain,
    ( spl0_37
    | spl0_8
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f175,f246,f204,f222,f337]) ).

fof(f341,plain,
    ( spl0_30
    | spl0_18
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f174,f215,f204,f257,f304]) ).

fof(f343,definition,
    ( spl0_38
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f346,plain,
    ( spl0_38
    | spl0_10
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f173,f212,f204,f229,f343]) ).

fof(f348,definition,
    ( spl0_39
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f352,definition,
    ( spl0_40
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f353,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f354,plain,
    ( spl0_39
    | spl0_40
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f172,f232,f204,f352,f348]) ).

fof(f355,plain,
    ( spl0_27
    | spl0_1
    | ~ spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f171,f274,f204,f198,f291]) ).

fof(f357,definition,
    ( spl0_41
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f361,definition,
    ( spl0_42
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f362,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f365,definition,
    ( spl0_43
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f368,plain,
    ( spl0_43
    | spl0_18
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f169,f250,f204,f257,f365]) ).

fof(f369,plain,
    ( spl0_43
    | spl0_12
    | spl0_35
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f168,f204,f327,f236,f365]) ).

fof(f371,definition,
    ( spl0_44
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f375,definition,
    ( spl0_45
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f376,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f377,plain,
    ( spl0_44
    | spl0_45
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f167,f250,f204,f375,f371]) ).

fof(f379,definition,
    ( spl0_46
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f387,definition,
    ( spl0_48
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f390,plain,
    ( spl0_48
    | spl0_19
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f165,f225,f204,f261,f387]) ).

fof(f398,definition,
    ( spl0_50
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f403,definition,
    ( spl0_51
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f406,plain,
    ( spl0_46
    | spl0_51
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f161,f201,f204,f403,f379]) ).

fof(f408,definition,
    ( spl0_52
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f411,plain,
    ( spl0_52
    | spl0_39
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f160,f246,f204,f348,f408]) ).

fof(f415,definition,
    ( spl0_53
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f418,plain,
    ( spl0_53
    | spl0_24
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f157,f215,f204,f278,f415]) ).

fof(f420,definition,
    ( spl0_54
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f423,plain,
    ( spl0_52
    | spl0_54
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f156,f215,f204,f420,f408]) ).

fof(f426,definition,
    ( spl0_55
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f429,plain,
    ( spl0_55
    | spl0_52
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f154,f253,f204,f408,f426]) ).

fof(f431,definition,
    ( spl0_56
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f436,definition,
    ( spl0_57
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f440,plain,
    ( spl0_56
    | spl0_25
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f151,f253,f204,f283,f431]) ).

fof(f442,definition,
    ( spl0_58
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f445,plain,
    ( spl0_58
    | spl0_54
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f150,f212,f204,f420,f442]) ).

fof(f451,plain,
    ( spl0_36
    | spl0_51
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f147,f239,f204,f403,f331]) ).

fof(f453,plain,
    ( spl0_30
    | spl0_51
    | ~ spl0_3
    | spl0_42 ),
    inference(avatar_split_clause,[],[f145,f361,f204,f403,f304]) ).

fof(f456,plain,
    ( spl0_56
    | spl0_57
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f142,f229,f204,f436,f431]) ).

fof(f459,definition,
    ( spl0_60
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f465,definition,
    ( spl0_61
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f468,plain,
    ( spl0_52
    | spl0_61
    | spl0_19
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f138,f204,f261,f465,f408]) ).

fof(f470,definition,
    ( spl0_62
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f473,plain,
    ( spl0_62
    | spl0_21
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f137,f204,f268,f470]) ).

fof(f480,definition,
    ( spl0_64
  <=> c1_1(a102) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f482,plain,
    ( ~ c1_1(a102)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f483,plain,
    ( ~ spl0_24
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f135,f480,f278]) ).

fof(f485,definition,
    ( spl0_65
  <=> c0_1(a102) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f487,plain,
    ( ~ c0_1(a102)
    | spl0_65 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f488,plain,
    ( ~ spl0_24
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f134,f485,f278]) ).

fof(f490,definition,
    ( spl0_66
  <=> c3_1(a103) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f493,plain,
    ( ~ spl0_48
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f133,f490,f387]) ).

fof(f495,definition,
    ( spl0_67
  <=> c1_1(a104) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f498,plain,
    ( ~ spl0_61
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f132,f495,f465]) ).

fof(f500,definition,
    ( spl0_68
  <=> c1_1(a105) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f502,plain,
    ( ~ c1_1(a105)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f503,plain,
    ( ~ spl0_52
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f131,f500,f408]) ).

fof(f505,definition,
    ( spl0_69
  <=> c2_1(a106) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f507,plain,
    ( ~ c2_1(a106)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f508,plain,
    ( ~ spl0_62
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f130,f505,f470]) ).

fof(f520,definition,
    ( spl0_72
  <=> c3_1(a109) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f523,plain,
    ( ~ spl0_36
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f127,f520,f331]) ).

fof(f525,definition,
    ( spl0_73
  <=> c0_1(a109) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f527,plain,
    ( ~ c0_1(a109)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f528,plain,
    ( ~ spl0_36
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f126,f525,f331]) ).

fof(f530,definition,
    ( spl0_74
  <=> c3_1(a110) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f532,plain,
    ( ~ c3_1(a110)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f533,plain,
    ( ~ spl0_60
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f125,f530,f459]) ).

fof(f535,definition,
    ( spl0_75
  <=> c1_1(a110) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f537,plain,
    ( ~ c1_1(a110)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f538,plain,
    ( ~ spl0_60
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f124,f535,f459]) ).

fof(f540,definition,
    ( spl0_76
  <=> c3_1(a111) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f543,plain,
    ( ~ spl0_34
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f123,f540,f323]) ).

fof(f545,definition,
    ( spl0_77
  <=> c2_1(a111) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f547,plain,
    ( ~ c2_1(a111)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f548,plain,
    ( ~ spl0_34
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f122,f545,f323]) ).

fof(f550,definition,
    ( spl0_78
  <=> c0_1(a111) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f552,plain,
    ( ~ c0_1(a111)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f553,plain,
    ( ~ spl0_34
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f121,f550,f323]) ).

fof(f555,definition,
    ( spl0_79
  <=> c3_1(a112) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f557,plain,
    ( ~ c3_1(a112)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f558,plain,
    ( ~ spl0_46
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f120,f555,f379]) ).

fof(f560,definition,
    ( spl0_80
  <=> c2_1(a112) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f562,plain,
    ( ~ c2_1(a112)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f563,plain,
    ( ~ spl0_46
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f119,f560,f379]) ).

fof(f565,definition,
    ( spl0_81
  <=> c2_1(a113) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f567,plain,
    ( ~ c2_1(a113)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f568,plain,
    ( ~ spl0_27
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f118,f565,f291]) ).

fof(f570,definition,
    ( spl0_82
  <=> c0_1(a113) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f573,plain,
    ( ~ spl0_27
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f117,f570,f291]) ).

fof(f575,definition,
    ( spl0_83
  <=> c3_1(a114) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f578,plain,
    ( ~ spl0_39
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f116,f575,f348]) ).

fof(f580,definition,
    ( spl0_84
  <=> c3_1(a116) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f582,plain,
    ( ~ c3_1(a116)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f583,plain,
    ( ~ spl0_38
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f115,f580,f343]) ).

fof(f585,definition,
    ( spl0_85
  <=> c1_1(a117) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f587,plain,
    ( ~ c1_1(a117)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f588,plain,
    ( ~ spl0_57
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f114,f585,f436]) ).

fof(f590,definition,
    ( spl0_86
  <=> c2_1(a126) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f592,plain,
    ( ~ c2_1(a126)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f593,plain,
    ( ~ spl0_43
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f113,f590,f365]) ).

fof(f595,definition,
    ( spl0_87
  <=> c1_1(a132) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f598,plain,
    ( ~ spl0_30
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f112,f595,f304]) ).

fof(f600,definition,
    ( spl0_88
  <=> c0_1(a132) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f602,plain,
    ( ~ c0_1(a132)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f603,plain,
    ( ~ spl0_30
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f111,f600,f304]) ).

fof(f605,definition,
    ( spl0_89
  <=> c2_1(a134) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f607,plain,
    ( ~ c2_1(a134)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f608,plain,
    ( ~ spl0_37
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f110,f605,f337]) ).

fof(f610,definition,
    ( spl0_90
  <=> c3_1(a135) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f612,plain,
    ( ~ c3_1(a135)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f613,plain,
    ( ~ spl0_51
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f109,f610,f403]) ).

fof(f615,definition,
    ( spl0_91
  <=> c2_1(a135) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f617,plain,
    ( ~ c2_1(a135)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f618,plain,
    ( ~ spl0_51
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f108,f615,f403]) ).

fof(f620,definition,
    ( spl0_92
  <=> c3_1(a139) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f623,plain,
    ( ~ spl0_32
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f107,f620,f313]) ).

fof(f625,definition,
    ( spl0_93
  <=> c1_1(a139) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f627,plain,
    ( ~ c1_1(a139)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f628,plain,
    ( ~ spl0_32
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f106,f625,f313]) ).

fof(f630,definition,
    ( spl0_94
  <=> c2_1(a143) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f632,plain,
    ( ~ c2_1(a143)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f633,plain,
    ( ~ spl0_58
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f105,f630,f442]) ).

fof(f635,definition,
    ( spl0_95
  <=> c1_1(a143) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f637,plain,
    ( ~ c1_1(a143)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f638,plain,
    ( ~ spl0_58
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f104,f635,f442]) ).

fof(f640,definition,
    ( spl0_96
  <=> c2_1(a145) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f642,plain,
    ( ~ c2_1(a145)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f643,plain,
    ( ~ spl0_28
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f103,f640,f296]) ).

fof(f645,definition,
    ( spl0_97
  <=> c1_1(a145) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f647,plain,
    ( ~ c1_1(a145)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f648,plain,
    ( ~ spl0_28
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f102,f645,f296]) ).

fof(f650,definition,
    ( spl0_98
  <=> c0_1(a145) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f653,plain,
    ( ~ spl0_28
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f101,f650,f296]) ).

fof(f655,definition,
    ( spl0_99
  <=> c3_1(a153) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f657,plain,
    ( ~ c3_1(a153)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f658,plain,
    ( ~ spl0_55
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f100,f655,f426]) ).

fof(f660,definition,
    ( spl0_100
  <=> c1_1(a153) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f662,plain,
    ( ~ c1_1(a153)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f663,plain,
    ( ~ spl0_55
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f99,f660,f426]) ).

fof(f665,definition,
    ( spl0_101
  <=> c0_1(a153) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f667,plain,
    ( ~ c0_1(a153)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f668,plain,
    ( ~ spl0_55
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f98,f665,f426]) ).

fof(f670,definition,
    ( spl0_102
  <=> c3_1(a163) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f672,plain,
    ( ~ c3_1(a163)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f673,plain,
    ( ~ spl0_53
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f97,f670,f415]) ).

fof(f675,definition,
    ( spl0_103
  <=> c2_1(a163) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f677,plain,
    ( ~ c2_1(a163)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f678,plain,
    ( ~ spl0_53
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f96,f675,f415]) ).

fof(f680,definition,
    ( spl0_104
  <=> c1_1(a163) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f682,plain,
    ( ~ c1_1(a163)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f683,plain,
    ( ~ spl0_53
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f95,f680,f415]) ).

fof(f685,definition,
    ( spl0_105
  <=> c2_1(a167) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f687,plain,
    ( ~ c2_1(a167)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f688,plain,
    ( ~ spl0_50
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f94,f685,f398]) ).

fof(f690,definition,
    ( spl0_106
  <=> c0_1(a167) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f692,plain,
    ( ~ c0_1(a167)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f690]) ).

fof(f693,plain,
    ( ~ spl0_50
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f93,f690,f398]) ).

fof(f733,definition,
    ( spl0_115
  <=> c2_1(a102) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f735,plain,
    ( c2_1(a102)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f736,plain,
    ( spl0_115
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f86,f278,f733]) ).

fof(f743,definition,
    ( spl0_117
  <=> c0_1(a103) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f745,plain,
    ( c0_1(a103)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f746,plain,
    ( spl0_117
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f84,f387,f743]) ).

fof(f748,definition,
    ( spl0_118
  <=> c2_1(a104) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f750,plain,
    ( c2_1(a104)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f751,plain,
    ( spl0_118
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f83,f465,f748]) ).

fof(f753,definition,
    ( spl0_119
  <=> c0_1(a104) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f755,plain,
    ( c0_1(a104)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f756,plain,
    ( spl0_119
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f82,f465,f753]) ).

fof(f758,definition,
    ( spl0_120
  <=> c3_1(a105) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f760,plain,
    ( c3_1(a105)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f761,plain,
    ( spl0_120
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f81,f408,f758]) ).

fof(f763,definition,
    ( spl0_121
  <=> c2_1(a105) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f765,plain,
    ( c2_1(a105)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f763]) ).

fof(f766,plain,
    ( spl0_121
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f80,f408,f763]) ).

fof(f768,definition,
    ( spl0_122
  <=> c1_1(a106) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f770,plain,
    ( c1_1(a106)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f771,plain,
    ( spl0_122
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f79,f470,f768]) ).

fof(f773,definition,
    ( spl0_123
  <=> c0_1(a106) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f775,plain,
    ( c0_1(a106)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f776,plain,
    ( spl0_123
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f78,f470,f773]) ).

fof(f778,definition,
    ( spl0_124
  <=> c2_1(a107) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f780,plain,
    ( c2_1(a107)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f781,plain,
    ( spl0_124
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f77,f371,f778]) ).

fof(f783,definition,
    ( spl0_125
  <=> c1_1(a107) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f786,plain,
    ( spl0_125
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f76,f371,f783]) ).

fof(f798,definition,
    ( spl0_128
  <=> c1_1(a109) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f800,plain,
    ( c1_1(a109)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f798]) ).

fof(f801,plain,
    ( spl0_128
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f73,f331,f798]) ).

fof(f803,definition,
    ( spl0_129
  <=> c2_1(a110) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f805,plain,
    ( c2_1(a110)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f803]) ).

fof(f806,plain,
    ( spl0_129
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f72,f459,f803]) ).

fof(f808,definition,
    ( spl0_130
  <=> c1_1(a112) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f810,plain,
    ( c1_1(a112)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f808]) ).

fof(f811,plain,
    ( spl0_130
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f71,f379,f808]) ).

fof(f813,definition,
    ( spl0_131
  <=> c3_1(a113) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f815,plain,
    ( c3_1(a113)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f813]) ).

fof(f816,plain,
    ( spl0_131
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f70,f291,f813]) ).

fof(f818,definition,
    ( spl0_132
  <=> c2_1(a114) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f820,plain,
    ( c2_1(a114)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f821,plain,
    ( spl0_132
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f69,f348,f818]) ).

fof(f823,definition,
    ( spl0_133
  <=> c1_1(a114) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f825,plain,
    ( c1_1(a114)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f826,plain,
    ( spl0_133
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f68,f348,f823]) ).

fof(f828,definition,
    ( spl0_134
  <=> c2_1(a116) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f830,plain,
    ( c2_1(a116)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f831,plain,
    ( spl0_134
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f67,f343,f828]) ).

fof(f833,definition,
    ( spl0_135
  <=> c0_1(a116) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f835,plain,
    ( c0_1(a116)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f836,plain,
    ( spl0_135
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f66,f343,f833]) ).

fof(f838,definition,
    ( spl0_136
  <=> c3_1(a117) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f840,plain,
    ( c3_1(a117)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f841,plain,
    ( spl0_136
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f65,f436,f838]) ).

fof(f843,definition,
    ( spl0_137
  <=> c0_1(a117) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f845,plain,
    ( c0_1(a117)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f846,plain,
    ( spl0_137
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f64,f436,f843]) ).

fof(f848,definition,
    ( spl0_138
  <=> c3_1(a126) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f850,plain,
    ( c3_1(a126)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f851,plain,
    ( spl0_138
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f63,f365,f848]) ).

fof(f853,definition,
    ( spl0_139
  <=> c1_1(a126) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f855,plain,
    ( c1_1(a126)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f856,plain,
    ( spl0_139
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f62,f365,f853]) ).

fof(f858,definition,
    ( spl0_140
  <=> c3_1(a132) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f860,plain,
    ( c3_1(a132)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f858]) ).

fof(f861,plain,
    ( spl0_140
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f61,f304,f858]) ).

fof(f863,definition,
    ( spl0_141
  <=> c3_1(a134) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f865,plain,
    ( c3_1(a134)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f863]) ).

fof(f866,plain,
    ( spl0_141
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f60,f337,f863]) ).

fof(f868,definition,
    ( spl0_142
  <=> c0_1(a134) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f870,plain,
    ( c0_1(a134)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f868]) ).

fof(f871,plain,
    ( spl0_142
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f59,f337,f868]) ).

fof(f873,definition,
    ( spl0_143
  <=> c0_1(a135) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f874,plain,
    ( ~ c0_1(a135)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f873]) ).

fof(f875,plain,
    ( c0_1(a135)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f873]) ).

fof(f876,plain,
    ( spl0_143
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f58,f403,f873]) ).

fof(f878,definition,
    ( spl0_144
  <=> c0_1(a139) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f880,plain,
    ( c0_1(a139)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f878]) ).

fof(f881,plain,
    ( spl0_144
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f57,f313,f878]) ).

fof(f883,definition,
    ( spl0_145
  <=> c3_1(a143) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f885,plain,
    ( c3_1(a143)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f883]) ).

fof(f886,plain,
    ( spl0_145
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f56,f442,f883]) ).

fof(f888,definition,
    ( spl0_146
  <=> c1_1(a167) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f890,plain,
    ( c1_1(a167)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f888]) ).

fof(f891,plain,
    ( spl0_146
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f55,f398,f888]) ).

fof(f903,definition,
    ( spl0_149
  <=> c3_1(a118) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f906,plain,
    ( spl0_149
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f52,f431,f903]) ).

fof(f908,definition,
    ( spl0_150
  <=> c2_1(a118) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f910,plain,
    ( c2_1(a118)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f911,plain,
    ( spl0_150
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f51,f431,f908]) ).

fof(f913,definition,
    ( spl0_151
  <=> c1_1(a118) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f915,plain,
    ( c1_1(a118)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f916,plain,
    ( spl0_151
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f50,f431,f913]) ).

fof(f918,definition,
    ( spl0_152
  <=> c2_1(a128) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f920,plain,
    ( c2_1(a128)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f921,plain,
    ( spl0_152
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f49,f420,f918]) ).

fof(f923,definition,
    ( spl0_153
  <=> c1_1(a128) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f925,plain,
    ( c1_1(a128)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f926,plain,
    ( spl0_153
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f48,f420,f923]) ).

fof(f928,definition,
    ( spl0_154
  <=> c0_1(a128) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f930,plain,
    ( c0_1(a128)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f931,plain,
    ( spl0_154
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f47,f420,f928]) ).

fof(f933,definition,
    ( spl0_155
  <=> c3_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f935,plain,
    ( c3_1(a131)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f933]) ).

fof(f936,plain,
    ( spl0_155
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f46,f357,f933]) ).

fof(f938,definition,
    ( spl0_156
  <=> c2_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f940,plain,
    ( c2_1(a131)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f938]) ).

fof(f941,plain,
    ( spl0_156
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f45,f357,f938]) ).

fof(f943,definition,
    ( spl0_157
  <=> c0_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f945,plain,
    ( c0_1(a131)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f943]) ).

fof(f946,plain,
    ( spl0_157
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f44,f357,f943]) ).

fof(f948,definition,
    ( spl0_158
  <=> c3_1(a141) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f950,plain,
    ( c3_1(a141)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f948]) ).

fof(f951,plain,
    ( spl0_158
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f43,f283,f948]) ).

fof(f953,definition,
    ( spl0_159
  <=> c1_1(a141) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f955,plain,
    ( c1_1(a141)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f953]) ).

fof(f956,plain,
    ( spl0_159
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f42,f283,f953]) ).

fof(f958,definition,
    ( spl0_160
  <=> c0_1(a141) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f960,plain,
    ( c0_1(a141)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f958]) ).

fof(f961,plain,
    ( spl0_160
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f41,f283,f958]) ).

fof(f965,plain,
    ( spl0_60
    | spl0_52
    | spl0_62 ),
    inference(avatar_split_clause,[],[f37,f470,f408,f459]) ).

fof(f966,plain,
    ( spl0_50
    | spl0_43
    | spl0_62 ),
    inference(avatar_split_clause,[],[f36,f470,f365,f398]) ).

fof(f967,plain,
    ( spl0_39
    | spl0_57
    | spl0_62 ),
    inference(avatar_split_clause,[],[f35,f470,f436,f348]) ).

fof(f968,plain,
    ( spl0_53
    | spl0_41
    | spl0_25 ),
    inference(avatar_split_clause,[],[f34,f283,f357,f415]) ).

fof(f993,plain,
    ( spl0_3
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f9,f415,f204]) ).

fof(f999,plain,
    ( spl0_3
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f3,f357,f204]) ).

fof(f1000,plain,
    ( spl0_3
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f2,f283,f204]) ).

fof(f1001,plain,
    ( spl0_36
    | spl0_50 ),
    inference(avatar_split_clause,[],[f1,f398,f331]) ).

fof(f1009,plain,
    ( c1_1(a105)
    | ~ c0_1(a105)
    | ~ spl0_5
    | ~ spl0_121 ),
    inference(resolution,[],[f213,f765]) ).

fof(f1010,plain,
    ( c2_1(a106)
    | ~ c0_1(a106)
    | ~ spl0_6
    | ~ spl0_122 ),
    inference(resolution,[],[f216,f770]) ).

fof(f1015,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f247,f209]) ).

fof(f1018,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[],[f219,f202]) ).

fof(f1026,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f230,f1018]) ).

fof(f1058,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_5
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f258,f213]) ).

fof(f1059,plain,
    ( ~ c1_1(a107)
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_124 ),
    inference(resolution,[],[f780,f1015]) ).

fof(f1063,plain,
    ( ~ spl0_125
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1059,f778,f246,f208,f783]) ).

fof(f1064,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f226,f209]) ).

fof(f1076,plain,
    ( c2_1(a113)
    | c0_1(a113)
    | ~ spl0_10
    | ~ spl0_131 ),
    inference(resolution,[],[f230,f815]) ).

fof(f1077,plain,
    ( c0_1(a113)
    | ~ spl0_10
    | spl0_81
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f1076,f567]) ).

fof(f1081,plain,
    ( c1_1(a117)
    | ~ spl0_5
    | ~ spl0_18
    | ~ spl0_137 ),
    inference(resolution,[],[f845,f1058]) ).

fof(f1082,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_18
    | spl0_85
    | ~ spl0_137 ),
    inference(forward_subsumption_resolution,[],[f1081,f587]) ).

fof(f1083,plain,
    ( ~ spl0_5
    | ~ spl0_18
    | spl0_85
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f1082]) ).

fof(f1087,plain,
    ( spl0_82
    | ~ spl0_10
    | spl0_81
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1077,f813,f565,f229,f570]) ).

fof(f1095,plain,
    ( c2_1(a143)
    | c0_1(a143)
    | ~ spl0_10
    | ~ spl0_145 ),
    inference(resolution,[],[f230,f885]) ).

fof(f1100,plain,
    ( c0_1(a143)
    | ~ spl0_10
    | spl0_94
    | ~ spl0_145 ),
    inference(forward_subsumption_resolution,[],[f1095,f632]) ).

fof(f1105,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f251,f1064]) ).

fof(f1106,plain,
    ( c2_1(a143)
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_16
    | ~ spl0_145 ),
    inference(resolution,[],[f1105,f885]) ).

fof(f1121,plain,
    ( c2_1(a143)
    | c1_1(a143)
    | ~ spl0_16
    | ~ spl0_145 ),
    inference(resolution,[],[f251,f885]) ).

fof(f1122,plain,
    ( c2_1(a117)
    | c1_1(a117)
    | ~ spl0_16
    | ~ spl0_136 ),
    inference(resolution,[],[f251,f840]) ).

fof(f1127,plain,
    ( c2_1(a117)
    | ~ spl0_16
    | spl0_85
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[],[f1122,f587]) ).

fof(f1131,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f254,f223]) ).

fof(f1134,plain,
    ( c1_1(a143)
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_17
    | spl0_94
    | ~ spl0_145 ),
    inference(resolution,[],[f1131,f1100]) ).

fof(f1135,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_17
    | spl0_94
    | spl0_95
    | ~ spl0_145 ),
    inference(forward_subsumption_resolution,[],[f1134,f637]) ).

fof(f1136,plain,
    ( ~ spl0_8
    | ~ spl0_10
    | ~ spl0_17
    | spl0_94
    | spl0_95
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f1135]) ).

fof(f1141,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_11
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[],[f301,f233]) ).

fof(f1142,plain,
    ( c2_1(a112)
    | ~ c0_1(a112)
    | ~ spl0_6
    | ~ spl0_130 ),
    inference(resolution,[],[f810,f216]) ).

fof(f1143,plain,
    ( ~ c0_1(a112)
    | ~ spl0_6
    | spl0_80
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f1142,f562]) ).

fof(f1148,plain,
    ( c3_1(a139)
    | c1_1(a139)
    | ~ spl0_8
    | ~ spl0_144 ),
    inference(resolution,[],[f880,f223]) ).

fof(f1153,plain,
    ( ~ c0_1(a134)
    | ~ c1_1(a134)
    | ~ spl0_11
    | ~ spl0_141 ),
    inference(resolution,[],[f865,f233]) ).

fof(f1157,definition,
    ( spl0_162
  <=> c1_1(a134) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1158,plain,
    ( c1_1(a134)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1157]) ).

fof(f1163,plain,
    ( ~ c0_1(a141)
    | ~ c1_1(a141)
    | ~ spl0_11
    | ~ spl0_158 ),
    inference(resolution,[],[f950,f233]) ).

fof(f1166,definition,
    ( spl0_163
  <=> c2_1(a141) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1168,plain,
    ( c2_1(a141)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1166]) ).

fof(f1171,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_10
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[],[f353,f230]) ).

fof(f1177,plain,
    ( c0_1(a167)
    | ~ spl0_10
    | ~ spl0_40
    | spl0_105 ),
    inference(resolution,[],[f1171,f687]) ).

fof(f1184,plain,
    ( c0_1(a111)
    | ~ spl0_10
    | ~ spl0_40
    | spl0_77 ),
    inference(resolution,[],[f1171,f547]) ).

fof(f1185,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_40
    | spl0_77
    | spl0_78 ),
    inference(forward_subsumption_resolution,[],[f1184,f552]) ).

fof(f1186,plain,
    ( ~ spl0_10
    | ~ spl0_40
    | spl0_77
    | spl0_78 ),
    inference(avatar_contradiction_clause,[],[f1185]) ).

fof(f1189,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_40
    | spl0_105
    | spl0_106 ),
    inference(forward_subsumption_resolution,[],[f1177,f692]) ).

fof(f1190,plain,
    ( ~ spl0_10
    | ~ spl0_40
    | spl0_105
    | spl0_106 ),
    inference(avatar_contradiction_clause,[],[f1189]) ).

fof(f1197,plain,
    ( c3_1(a112)
    | c0_1(a112)
    | ~ spl0_14
    | ~ spl0_130 ),
    inference(resolution,[],[f244,f810]) ).

fof(f1198,plain,
    ( c3_1(a109)
    | c0_1(a109)
    | ~ spl0_14
    | ~ spl0_128 ),
    inference(resolution,[],[f244,f800]) ).

fof(f1215,plain,
    ( ~ c3_1(a128)
    | ~ c1_1(a128)
    | ~ spl0_4
    | ~ spl0_152 ),
    inference(resolution,[],[f920,f209]) ).

fof(f1218,definition,
    ( spl0_164
  <=> c3_1(a128) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1219,plain,
    ( c3_1(a128)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1218]) ).

fof(f1231,plain,
    ( ~ c3_1(a117)
    | ~ c0_1(a117)
    | ~ spl0_2
    | ~ spl0_16
    | spl0_85
    | ~ spl0_136 ),
    inference(resolution,[],[f1127,f202]) ).

fof(f1232,plain,
    ( ~ c0_1(a117)
    | ~ spl0_2
    | ~ spl0_16
    | spl0_85
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[],[f1231,f840]) ).

fof(f1237,plain,
    ( c1_1(a132)
    | c0_1(a132)
    | ~ spl0_1
    | ~ spl0_140 ),
    inference(resolution,[],[f199,f860]) ).

fof(f1239,plain,
    ( c1_1(a105)
    | c0_1(a105)
    | ~ spl0_1
    | ~ spl0_120 ),
    inference(resolution,[],[f199,f760]) ).

fof(f1246,plain,
    ( c1_1(a132)
    | ~ spl0_1
    | spl0_88
    | ~ spl0_140 ),
    inference(forward_subsumption_resolution,[],[f1237,f602]) ).

fof(f1247,plain,
    ( spl0_87
    | ~ spl0_1
    | spl0_88
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1246,f858,f600,f198,f595]) ).

fof(f1250,plain,
    ( c2_1(a134)
    | ~ c1_1(a134)
    | ~ spl0_9
    | ~ spl0_141 ),
    inference(resolution,[],[f226,f865]) ).

fof(f1265,plain,
    ( c3_1(a163)
    | c1_1(a163)
    | ~ spl0_12
    | spl0_103 ),
    inference(resolution,[],[f237,f677]) ).

fof(f1268,plain,
    ( c1_1(a163)
    | ~ spl0_12
    | spl0_102
    | spl0_103 ),
    inference(forward_subsumption_resolution,[],[f1265,f672]) ).

fof(f1271,plain,
    ( $false
    | ~ spl0_12
    | spl0_102
    | spl0_103
    | spl0_104 ),
    inference(forward_subsumption_resolution,[],[f1268,f682]) ).

fof(f1272,plain,
    ( ~ spl0_12
    | spl0_102
    | spl0_103
    | spl0_104 ),
    inference(avatar_contradiction_clause,[],[f1271]) ).

fof(f1277,plain,
    ( ~ c3_1(a128)
    | ~ spl0_4
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(forward_subsumption_resolution,[],[f1215,f925]) ).

fof(f1278,plain,
    ( ~ spl0_164
    | ~ spl0_4
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1277,f923,f918,f208,f1218]) ).

fof(f1279,plain,
    ( c2_1(a126)
    | ~ c1_1(a126)
    | ~ spl0_9
    | ~ spl0_138 ),
    inference(resolution,[],[f850,f226]) ).

fof(f1281,plain,
    ( c2_1(a126)
    | c0_1(a126)
    | ~ spl0_10
    | ~ spl0_138 ),
    inference(resolution,[],[f850,f230]) ).

fof(f1282,plain,
    ( c0_1(a126)
    | ~ spl0_10
    | spl0_86
    | ~ spl0_138 ),
    inference(forward_subsumption_resolution,[],[f1281,f592]) ).

fof(f1284,definition,
    ( spl0_165
  <=> c0_1(a126) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1288,plain,
    ( ~ c1_1(a126)
    | ~ spl0_9
    | spl0_86
    | ~ spl0_138 ),
    inference(forward_subsumption_resolution,[],[f1279,f592]) ).

fof(f1289,plain,
    ( spl0_165
    | ~ spl0_10
    | spl0_86
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1282,f848,f590,f229,f1284]) ).

fof(f1290,plain,
    ( ~ spl0_139
    | ~ spl0_9
    | spl0_86
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1288,f848,f590,f225,f853]) ).

fof(f1294,plain,
    ( c2_1(a126)
    | ~ c0_1(a126)
    | ~ spl0_6
    | ~ spl0_139 ),
    inference(resolution,[],[f855,f216]) ).

fof(f1295,plain,
    ( ~ c0_1(a126)
    | ~ spl0_6
    | spl0_86
    | ~ spl0_139 ),
    inference(forward_subsumption_resolution,[],[f1294,f592]) ).

fof(f1296,plain,
    ( ~ spl0_165
    | ~ spl0_6
    | spl0_86
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1295,f853,f590,f215,f1284]) ).

fof(f1304,plain,
    ( ~ c1_1(a128)
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_152 ),
    inference(resolution,[],[f1015,f920]) ).

fof(f1307,plain,
    ( ~ c1_1(a114)
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_132 ),
    inference(resolution,[],[f1015,f820]) ).

fof(f1311,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f1307,f825]) ).

fof(f1312,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f1311]) ).

fof(f1315,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(forward_subsumption_resolution,[],[f1304,f925]) ).

fof(f1316,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f1315]) ).

fof(f1319,plain,
    ( c3_1(a112)
    | ~ spl0_6
    | ~ spl0_14
    | spl0_80
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f1197,f1143]) ).

fof(f1320,plain,
    ( c3_1(a109)
    | ~ spl0_14
    | spl0_73
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f1198,f527]) ).

fof(f1322,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f254,f199]) ).

fof(f1323,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_45 ),
    inference(forward_subsumption_resolution,[],[f376,f1015]) ).

fof(f1327,definition,
    ( spl0_167
  <=> c0_1(a114) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1332,plain,
    ( spl0_79
    | ~ spl0_6
    | ~ spl0_14
    | spl0_80
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1319,f808,f560,f243,f215,f555]) ).

fof(f1333,plain,
    ( spl0_72
    | ~ spl0_14
    | spl0_73
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1320,f798,f525,f243,f520]) ).

fof(f1346,plain,
    ( c1_1(a134)
    | ~ spl0_1
    | ~ spl0_17
    | ~ spl0_141 ),
    inference(resolution,[],[f1322,f865]) ).

fof(f1353,plain,
    ( c1_1(a105)
    | ~ spl0_1
    | ~ spl0_17
    | ~ spl0_120 ),
    inference(resolution,[],[f1322,f760]) ).

fof(f1365,plain,
    ( ~ c1_1(a141)
    | ~ spl0_11
    | ~ spl0_158
    | ~ spl0_160 ),
    inference(forward_subsumption_resolution,[],[f1163,f960]) ).

fof(f1366,plain,
    ( ~ spl0_159
    | ~ spl0_11
    | ~ spl0_158
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1365,f958,f948,f232,f953]) ).

fof(f1373,plain,
    ( ~ c0_1(a112)
    | ~ spl0_11
    | ~ spl0_29
    | ~ spl0_130 ),
    inference(resolution,[],[f1141,f810]) ).

fof(f1401,plain,
    ( c0_1(a167)
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_45
    | ~ spl0_146 ),
    inference(resolution,[],[f1323,f890]) ).

fof(f1406,plain,
    ( c0_1(a109)
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_45
    | ~ spl0_128 ),
    inference(resolution,[],[f1323,f800]) ).

fof(f1410,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_45
    | spl0_73
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f1406,f527]) ).

fof(f1411,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | ~ spl0_45
    | spl0_73
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f1410]) ).

fof(f1418,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_45
    | spl0_106
    | ~ spl0_146 ),
    inference(forward_subsumption_resolution,[],[f1401,f692]) ).

fof(f1419,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | ~ spl0_45
    | spl0_106
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f1418]) ).

fof(f1423,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f213,f1015]) ).

fof(f1424,plain,
    ( ~ c0_1(a105)
    | ~ spl0_5
    | spl0_68
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f1009,f502]) ).

fof(f1428,plain,
    ( spl0_94
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_16
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1106,f883,f250,f225,f208,f630]) ).

fof(f1430,plain,
    ( c2_1(a143)
    | ~ spl0_16
    | spl0_95
    | ~ spl0_145 ),
    inference(forward_subsumption_resolution,[],[f1121,f637]) ).

fof(f1434,plain,
    ( spl0_94
    | ~ spl0_16
    | spl0_95
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1430,f883,f635,f250,f630]) ).

fof(f1437,definition,
    ( spl0_168
  <=> c3_1(a106) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1439,plain,
    ( c3_1(a106)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1437]) ).

fof(f1442,plain,
    ( ~ spl0_123
    | spl0_69
    | ~ spl0_6
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1010,f768,f215,f505,f773]) ).

fof(f1478,plain,
    ( c0_1(a105)
    | ~ spl0_1
    | spl0_68
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f1239,f502]) ).

fof(f1483,plain,
    ( c3_1(a139)
    | ~ spl0_8
    | spl0_93
    | ~ spl0_144 ),
    inference(forward_subsumption_resolution,[],[f1148,f627]) ).

fof(f1489,plain,
    ( spl0_92
    | ~ spl0_8
    | spl0_93
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1483,f878,f625,f222,f620]) ).

fof(f1532,plain,
    ( ~ spl0_137
    | ~ spl0_2
    | ~ spl0_16
    | spl0_85
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1232,f838,f585,f250,f201,f843]) ).

fof(f1534,definition,
    ( spl0_169
  <=> c2_1(a117) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1535,plain,
    ( ~ c2_1(a117)
    | spl0_169 ),
    inference(avatar_component_clause,[],[f1534]) ).

fof(f1536,plain,
    ( c2_1(a117)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1534]) ).

fof(f1552,plain,
    ( c2_1(a117)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_136 ),
    inference(resolution,[],[f1026,f840]) ).

fof(f1555,plain,
    ( spl0_169
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1552,f838,f229,f218,f201,f1534]) ).

fof(f1585,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c1_1(X2) )
    | ~ spl0_5
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f262,f1058]) ).

fof(f1606,plain,
    ( ~ c0_1(a117)
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_15
    | ~ spl0_169 ),
    inference(resolution,[],[f1536,f1423]) ).

fof(f1608,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_5
    | ~ spl0_18
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f269,f1058]) ).

fof(f1658,plain,
    ( ~ c0_1(a131)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_155 ),
    inference(resolution,[],[f935,f1018]) ).

fof(f1659,plain,
    ( ~ spl0_157
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1658,f933,f218,f201,f943]) ).

fof(f1662,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f233,f1058]) ).

fof(f1667,plain,
    ( ~ c0_1(a131)
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_18
    | ~ spl0_155 ),
    inference(resolution,[],[f1662,f935]) ).

fof(f1676,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_18
    | ~ spl0_155
    | ~ spl0_157 ),
    inference(forward_subsumption_resolution,[],[f1667,f945]) ).

fof(f1677,plain,
    ( ~ spl0_5
    | ~ spl0_11
    | ~ spl0_18
    | ~ spl0_155
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f1676]) ).

fof(f1683,plain,
    ( ~ spl0_137
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_15
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1606,f1534,f246,f212,f208,f843]) ).

fof(f1688,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f230,f1662]) ).

fof(f1758,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_18
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[],[f328,f1688]) ).

fof(f1759,plain,
    ( ! [X1] : ~ c3_1(X1)
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_18
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[],[f1758,f1662]) ).

fof(f1764,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_18
    | ~ spl0_35
    | ~ spl0_120 ),
    inference(resolution,[],[f1759,f760]) ).

fof(f1767,plain,
    ( ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_18
    | ~ spl0_35
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f1764]) ).

fof(f1772,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f199,f1058]) ).

fof(f1777,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_68
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f1478,f1424]) ).

fof(f1778,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_68
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f1777]) ).

fof(f1800,plain,
    ( c1_1(a104)
    | ~ spl0_5
    | ~ spl0_18
    | ~ spl0_119 ),
    inference(resolution,[],[f755,f1058]) ).

fof(f1804,plain,
    ( spl0_67
    | ~ spl0_5
    | ~ spl0_18
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1800,f753,f257,f212,f495]) ).

fof(f1902,plain,
    ( ~ c3_1(a141)
    | ~ c1_1(a141)
    | ~ spl0_4
    | ~ spl0_163 ),
    inference(resolution,[],[f209,f1168]) ).

fof(f1904,plain,
    ( ~ c3_1(a118)
    | ~ c1_1(a118)
    | ~ spl0_4
    | ~ spl0_150 ),
    inference(resolution,[],[f209,f910]) ).

fof(f1932,plain,
    ( ~ c3_1(a141)
    | ~ spl0_4
    | ~ spl0_159
    | ~ spl0_163 ),
    inference(forward_subsumption_resolution,[],[f1902,f955]) ).

fof(f1933,plain,
    ( ~ c3_1(a118)
    | ~ spl0_4
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(forward_subsumption_resolution,[],[f1904,f915]) ).

fof(f1940,plain,
    ( ~ spl0_158
    | ~ spl0_4
    | ~ spl0_159
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1932,f1166,f953,f208,f948]) ).

fof(f1941,plain,
    ( ~ spl0_149
    | ~ spl0_4
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1933,f913,f908,f208,f903]) ).

fof(f1950,plain,
    ( ~ c3_1(a131)
    | ~ c1_1(a131)
    | ~ spl0_4
    | ~ spl0_156 ),
    inference(resolution,[],[f940,f209]) ).

fof(f2024,plain,
    ( c3_1(a102)
    | c0_1(a102)
    | ~ spl0_22
    | ~ spl0_115 ),
    inference(resolution,[],[f272,f735]) ).

fof(f2029,plain,
    ( c3_1(a102)
    | ~ spl0_22
    | spl0_65
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f2024,f487]) ).

fof(f2253,plain,
    ( ~ c3_1(a141)
    | ~ c0_1(a141)
    | ~ spl0_2
    | ~ spl0_163 ),
    inference(resolution,[],[f202,f1168]) ).

fof(f2257,plain,
    ( ~ c3_1(a117)
    | ~ c0_1(a117)
    | ~ spl0_2
    | ~ spl0_169 ),
    inference(resolution,[],[f202,f1536]) ).

fof(f2273,plain,
    ( c1_1(a117)
    | ~ c0_1(a117)
    | ~ spl0_5
    | ~ spl0_169 ),
    inference(resolution,[],[f213,f1536]) ).

fof(f2281,plain,
    ( c1_1(a104)
    | ~ c0_1(a104)
    | ~ spl0_5
    | ~ spl0_118 ),
    inference(resolution,[],[f213,f750]) ).

fof(f2291,plain,
    ( c2_1(a134)
    | ~ c0_1(a134)
    | ~ spl0_6
    | ~ spl0_162 ),
    inference(resolution,[],[f216,f1158]) ).

fof(f2329,plain,
    ( c2_1(a134)
    | c1_1(a134)
    | ~ spl0_16
    | ~ spl0_141 ),
    inference(resolution,[],[f251,f865]) ).

fof(f2346,definition,
    ( spl0_173
  <=> c1_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f2349,plain,
    ( ~ spl0_173
    | ~ spl0_155
    | ~ spl0_4
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1950,f938,f208,f933,f2346]) ).

fof(f2363,plain,
    ( c1_1(a131)
    | ~ c0_1(a131)
    | ~ spl0_5
    | ~ spl0_156 ),
    inference(resolution,[],[f940,f213]) ).

fof(f2368,plain,
    ( c1_1(a131)
    | ~ spl0_8
    | ~ spl0_17
    | ~ spl0_157 ),
    inference(resolution,[],[f1131,f945]) ).

fof(f2371,plain,
    ( spl0_173
    | ~ spl0_8
    | ~ spl0_17
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2368,f943,f253,f222,f2346]) ).

fof(f2387,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_8
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f269,f1131]) ).

fof(f2403,plain,
    ( c1_1(a110)
    | ~ spl0_8
    | ~ spl0_17
    | ~ spl0_21
    | spl0_74 ),
    inference(resolution,[],[f2387,f532]) ).

fof(f2409,plain,
    ( c1_1(a163)
    | ~ spl0_8
    | ~ spl0_17
    | ~ spl0_21
    | spl0_102 ),
    inference(resolution,[],[f2387,f672]) ).

fof(f2412,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_17
    | ~ spl0_21
    | spl0_102
    | spl0_104 ),
    inference(forward_subsumption_resolution,[],[f2409,f682]) ).

fof(f2413,plain,
    ( ~ spl0_8
    | ~ spl0_17
    | ~ spl0_21
    | spl0_102
    | spl0_104 ),
    inference(avatar_contradiction_clause,[],[f2412]) ).

fof(f2436,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f254,f233]) ).

fof(f2437,plain,
    ( ~ c0_1(a134)
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_141 ),
    inference(resolution,[],[f2436,f865]) ).

fof(f2439,plain,
    ( ~ c0_1(a117)
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_136 ),
    inference(resolution,[],[f2436,f840]) ).

fof(f2454,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_6
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f258,f216]) ).

fof(f2461,plain,
    ( c2_1(a134)
    | ~ spl0_6
    | ~ spl0_18
    | ~ spl0_142 ),
    inference(resolution,[],[f2454,f870]) ).

fof(f2462,plain,
    ( c2_1(a117)
    | ~ spl0_6
    | ~ spl0_18
    | ~ spl0_137 ),
    inference(resolution,[],[f2454,f845]) ).

fof(f2465,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_18
    | ~ spl0_137
    | spl0_169 ),
    inference(forward_subsumption_resolution,[],[f2462,f1535]) ).

fof(f2466,plain,
    ( ~ spl0_6
    | ~ spl0_18
    | ~ spl0_137
    | spl0_169 ),
    inference(avatar_contradiction_clause,[],[f2465]) ).

fof(f2467,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_18
    | spl0_89
    | ~ spl0_142 ),
    inference(forward_subsumption_resolution,[],[f2461,f607]) ).

fof(f2468,plain,
    ( ~ spl0_6
    | ~ spl0_18
    | spl0_89
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f2467]) ).

fof(f2470,definition,
    ( spl0_174
  <=> c0_1(a105) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f2479,plain,
    ( spl0_162
    | ~ spl0_1
    | ~ spl0_17
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1346,f863,f253,f198,f1157]) ).

fof(f2480,plain,
    ( spl0_68
    | ~ spl0_1
    | ~ spl0_17
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1353,f758,f253,f198,f500]) ).

fof(f2483,plain,
    ( ~ spl0_162
    | spl0_89
    | ~ spl0_9
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1250,f863,f225,f605,f1157]) ).

fof(f2485,plain,
    ( spl0_162
    | spl0_89
    | ~ spl0_16
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2329,f863,f250,f605,f1157]) ).

fof(f2489,plain,
    ( c2_1(a134)
    | ~ spl0_6
    | ~ spl0_142
    | ~ spl0_162 ),
    inference(forward_subsumption_resolution,[],[f2291,f870]) ).

fof(f2494,plain,
    ( spl0_89
    | ~ spl0_6
    | ~ spl0_142
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2489,f1157,f868,f215,f605]) ).

fof(f2541,plain,
    ( c3_1(a128)
    | ~ c1_1(a128)
    | ~ spl0_15
    | ~ spl0_152 ),
    inference(resolution,[],[f247,f920]) ).

fof(f2547,plain,
    ( c3_1(a114)
    | ~ c1_1(a114)
    | ~ spl0_15
    | ~ spl0_132 ),
    inference(resolution,[],[f247,f820]) ).

fof(f2592,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_17
    | ~ spl0_21
    | spl0_74
    | spl0_75 ),
    inference(forward_subsumption_resolution,[],[f2403,f537]) ).

fof(f2593,plain,
    ( ~ spl0_8
    | ~ spl0_17
    | ~ spl0_21
    | spl0_74
    | spl0_75 ),
    inference(avatar_contradiction_clause,[],[f2592]) ).

fof(f2605,plain,
    ( ~ spl0_160
    | ~ spl0_158
    | ~ spl0_2
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f2253,f1166,f201,f948,f958]) ).

fof(f2623,plain,
    ( c1_1(a104)
    | ~ spl0_5
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(forward_subsumption_resolution,[],[f2281,f755]) ).

fof(f2626,definition,
    ( spl0_177
  <=> c0_1(a163) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f2627,plain,
    ( c0_1(a163)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f2626]) ).

fof(f2628,plain,
    ( ~ c0_1(a163)
    | spl0_177 ),
    inference(avatar_component_clause,[],[f2626]) ).

fof(f2637,plain,
    ( spl0_67
    | ~ spl0_5
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f2623,f753,f748,f212,f495]) ).

fof(f2638,plain,
    ( c3_1(a106)
    | c2_1(a106)
    | ~ spl0_13
    | ~ spl0_123 ),
    inference(resolution,[],[f775,f240]) ).

fof(f2642,plain,
    ( c3_1(a106)
    | ~ spl0_13
    | spl0_69
    | ~ spl0_123 ),
    inference(forward_subsumption_resolution,[],[f2638,f507]) ).

fof(f2643,plain,
    ( spl0_168
    | ~ spl0_13
    | spl0_69
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2642,f773,f505,f239,f1437]) ).

fof(f2680,plain,
    ( ! [X2] : c1_1(X2)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_18
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f1608,f1322]) ).

fof(f2682,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_18
    | ~ spl0_21
    | spl0_64 ),
    inference(resolution,[],[f2680,f482]) ).

fof(f2685,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_18
    | ~ spl0_21
    | spl0_64 ),
    inference(avatar_contradiction_clause,[],[f2682]) ).

fof(f2707,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_5
    | ~ spl0_18
    | ~ spl0_19
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f265,f1585]) ).

fof(f2708,plain,
    ( ! [X1] : c1_1(X1)
    | ~ spl0_5
    | ~ spl0_18
    | ~ spl0_19
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f2707,f1058]) ).

fof(f2710,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_18
    | ~ spl0_19
    | ~ spl0_20
    | spl0_64 ),
    inference(resolution,[],[f2708,f482]) ).

fof(f2713,plain,
    ( ~ spl0_5
    | ~ spl0_18
    | ~ spl0_19
    | ~ spl0_20
    | spl0_64 ),
    inference(avatar_contradiction_clause,[],[f2710]) ).

fof(f2715,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f275,f202]) ).

fof(f2717,plain,
    ( ~ c0_1(a131)
    | ~ spl0_2
    | ~ spl0_23
    | ~ spl0_156 ),
    inference(resolution,[],[f2715,f940]) ).

fof(f2727,plain,
    ( ~ c0_1(a104)
    | ~ spl0_2
    | ~ spl0_23
    | ~ spl0_118 ),
    inference(resolution,[],[f2715,f750]) ).

fof(f2733,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_23
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(forward_subsumption_resolution,[],[f2727,f755]) ).

fof(f2734,plain,
    ( ~ spl0_2
    | ~ spl0_23
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(avatar_contradiction_clause,[],[f2733]) ).

fof(f2739,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_23
    | ~ spl0_156
    | ~ spl0_157 ),
    inference(forward_subsumption_resolution,[],[f2717,f945]) ).

fof(f2740,plain,
    ( ~ spl0_2
    | ~ spl0_23
    | ~ spl0_156
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f2739]) ).

fof(f2839,plain,
    ( c1_1(a102)
    | ~ spl0_1
    | ~ spl0_17
    | ~ spl0_22
    | spl0_65
    | ~ spl0_115 ),
    inference(resolution,[],[f2029,f1322]) ).

fof(f2840,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_17
    | ~ spl0_22
    | spl0_64
    | spl0_65
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f2839,f482]) ).

fof(f2841,plain,
    ( ~ spl0_1
    | ~ spl0_17
    | ~ spl0_22
    | spl0_64
    | spl0_65
    | ~ spl0_115 ),
    inference(avatar_contradiction_clause,[],[f2840]) ).

fof(f2849,plain,
    ( c3_1(a128)
    | ~ spl0_15
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(forward_subsumption_resolution,[],[f2541,f925]) ).

fof(f2851,plain,
    ( c3_1(a114)
    | ~ spl0_15
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f2547,f825]) ).

fof(f2858,plain,
    ( spl0_164
    | ~ spl0_15
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f2849,f923,f918,f246,f1218]) ).

fof(f2861,plain,
    ( spl0_83
    | ~ spl0_15
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2851,f823,f818,f246,f575]) ).

fof(f2914,plain,
    ( c3_1(a116)
    | ~ c0_1(a116)
    | ~ spl0_23
    | ~ spl0_134 ),
    inference(resolution,[],[f275,f830]) ).

fof(f2915,plain,
    ( c3_1(a114)
    | ~ c0_1(a114)
    | ~ spl0_23
    | ~ spl0_132 ),
    inference(resolution,[],[f275,f820]) ).

fof(f2949,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_15
    | ~ spl0_40 ),
    inference(resolution,[],[f353,f247]) ).

fof(f2957,plain,
    ( c3_1(a111)
    | c0_1(a111)
    | ~ spl0_40
    | spl0_77 ),
    inference(resolution,[],[f353,f547]) ).

fof(f2958,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_15
    | ~ spl0_40 ),
    inference(duplicate_literal_removal,[],[f2949]) ).

fof(f2966,plain,
    ( spl0_14
    | ~ spl0_15
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f2958,f352,f246,f243]) ).

fof(f2975,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_13
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f240,f275]) ).

fof(f2982,plain,
    ( ~ spl0_167
    | spl0_83
    | ~ spl0_23
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f2915,f818,f274,f575,f1327]) ).

fof(f2993,plain,
    ( c3_1(a128)
    | ~ spl0_13
    | ~ spl0_23
    | ~ spl0_154 ),
    inference(resolution,[],[f2975,f930]) ).

fof(f2995,plain,
    ( c3_1(a106)
    | ~ spl0_13
    | ~ spl0_23
    | ~ spl0_123 ),
    inference(resolution,[],[f2975,f775]) ).

fof(f2997,plain,
    ( c3_1(a103)
    | ~ spl0_13
    | ~ spl0_23
    | ~ spl0_117 ),
    inference(resolution,[],[f2975,f745]) ).

fof(f3000,plain,
    ( spl0_168
    | ~ spl0_13
    | ~ spl0_23
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2995,f773,f274,f239,f1437]) ).

fof(f3006,plain,
    ( spl0_66
    | ~ spl0_13
    | ~ spl0_23
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2997,f743,f274,f239,f490]) ).

fof(f3009,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_5
    | ~ spl0_18
    | ~ spl0_19
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f362,f1585]) ).

fof(f3014,plain,
    ( c3_1(a135)
    | ~ spl0_13
    | ~ spl0_23
    | ~ spl0_143 ),
    inference(resolution,[],[f875,f2975]) ).

fof(f3016,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_23
    | spl0_90
    | ~ spl0_143 ),
    inference(forward_subsumption_resolution,[],[f3014,f612]) ).

fof(f3017,plain,
    ( ~ spl0_13
    | ~ spl0_23
    | spl0_90
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f3016]) ).

fof(f3051,plain,
    ( c3_1(a111)
    | ~ spl0_40
    | spl0_77
    | spl0_78 ),
    inference(forward_subsumption_resolution,[],[f2957,f552]) ).

fof(f3054,plain,
    ( ~ c0_1(a116)
    | ~ spl0_23
    | spl0_84
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f2914,f582]) ).

fof(f3059,plain,
    ( spl0_76
    | ~ spl0_40
    | spl0_77
    | spl0_78 ),
    inference(avatar_split_clause,[],[f3051,f550,f545,f352,f540]) ).

fof(f3060,plain,
    ( $false
    | ~ spl0_23
    | spl0_84
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f3054,f835]) ).

fof(f3061,plain,
    ( ~ spl0_23
    | spl0_84
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f3060]) ).

fof(f3064,plain,
    ( ~ c0_1(a134)
    | ~ spl0_11
    | ~ spl0_141
    | ~ spl0_162 ),
    inference(forward_subsumption_resolution,[],[f1153,f1158]) ).

fof(f3067,plain,
    ( ~ spl0_142
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2437,f863,f253,f232,f868]) ).

fof(f3068,plain,
    ( ~ spl0_137
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f2439,f838,f253,f232,f843]) ).

fof(f3071,plain,
    ( ~ spl0_142
    | ~ spl0_11
    | ~ spl0_141
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f3064,f1157,f863,f232,f868]) ).

fof(f3099,plain,
    ( ~ c0_1(a131)
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_155 ),
    inference(resolution,[],[f2436,f935]) ).

fof(f3109,plain,
    ( ~ c0_1(a106)
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_168 ),
    inference(resolution,[],[f2436,f1439]) ).

fof(f3116,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_123
    | ~ spl0_168 ),
    inference(forward_subsumption_resolution,[],[f3109,f775]) ).

fof(f3117,plain,
    ( ~ spl0_11
    | ~ spl0_17
    | ~ spl0_123
    | ~ spl0_168 ),
    inference(avatar_contradiction_clause,[],[f3116]) ).

fof(f3120,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_155
    | ~ spl0_157 ),
    inference(forward_subsumption_resolution,[],[f3099,f945]) ).

fof(f3121,plain,
    ( ~ spl0_11
    | ~ spl0_17
    | ~ spl0_155
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f3120]) ).

fof(f3129,plain,
    ( ~ spl0_137
    | ~ spl0_136
    | ~ spl0_2
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f2257,f1534,f201,f838,f843]) ).

fof(f3143,definition,
    ( spl0_180
  <=> c3_1(a104) ),
    introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).

fof(f3202,definition,
    ( spl0_181
  <=> c0_1(a112) ),
    introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).

fof(f3248,plain,
    ( c2_1(a141)
    | ~ c0_1(a141)
    | ~ spl0_6
    | ~ spl0_159 ),
    inference(resolution,[],[f216,f955]) ).

fof(f3266,plain,
    ( c3_1(a104)
    | c1_1(a104)
    | ~ spl0_8
    | ~ spl0_119 ),
    inference(resolution,[],[f223,f755]) ).

fof(f3269,plain,
    ( spl0_67
    | spl0_180
    | ~ spl0_8
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f3266,f753,f222,f3143,f495]) ).

fof(f3275,plain,
    ( ~ c0_1(a128)
    | ~ c1_1(a128)
    | ~ spl0_11
    | ~ spl0_164 ),
    inference(resolution,[],[f233,f1219]) ).

fof(f3279,plain,
    ( ~ c0_1(a126)
    | ~ c1_1(a126)
    | ~ spl0_11
    | ~ spl0_138 ),
    inference(resolution,[],[f233,f850]) ).

fof(f3286,plain,
    ( ~ c0_1(a106)
    | ~ c1_1(a106)
    | ~ spl0_11
    | ~ spl0_168 ),
    inference(resolution,[],[f233,f1439]) ).

fof(f3292,plain,
    ( c3_1(a135)
    | c2_1(a135)
    | ~ spl0_13
    | ~ spl0_143 ),
    inference(resolution,[],[f240,f875]) ).

fof(f3297,plain,
    ( c2_1(a135)
    | ~ spl0_13
    | spl0_90
    | ~ spl0_143 ),
    inference(forward_subsumption_resolution,[],[f3292,f612]) ).

fof(f3305,plain,
    ( spl0_91
    | ~ spl0_13
    | spl0_90
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f3297,f873,f610,f239,f615]) ).

fof(f3316,plain,
    ( c3_1(a114)
    | c0_1(a114)
    | ~ spl0_14
    | ~ spl0_133 ),
    inference(resolution,[],[f244,f825]) ).

fof(f3374,plain,
    ( c0_1(a163)
    | c1_1(a163)
    | ~ spl0_19
    | spl0_103 ),
    inference(resolution,[],[f262,f677]) ).

fof(f3375,plain,
    ( c0_1(a145)
    | c1_1(a145)
    | ~ spl0_19
    | spl0_96 ),
    inference(resolution,[],[f262,f642]) ).

fof(f3389,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_14
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[],[f301,f244]) ).

fof(f3390,plain,
    ( ~ spl0_181
    | ~ spl0_11
    | ~ spl0_29
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1373,f808,f300,f232,f3202]) ).

fof(f3392,plain,
    ( c0_1(a163)
    | ~ spl0_19
    | spl0_103
    | spl0_104 ),
    inference(forward_subsumption_resolution,[],[f3374,f682]) ).

fof(f3394,plain,
    ( c0_1(a145)
    | ~ spl0_19
    | spl0_96
    | spl0_97 ),
    inference(forward_subsumption_resolution,[],[f3375,f647]) ).

fof(f3396,plain,
    ( spl0_177
    | ~ spl0_19
    | spl0_103
    | spl0_104 ),
    inference(avatar_split_clause,[],[f3392,f680,f675,f261,f2626]) ).

fof(f3397,plain,
    ( spl0_98
    | ~ spl0_19
    | spl0_96
    | spl0_97 ),
    inference(avatar_split_clause,[],[f3394,f645,f640,f261,f650]) ).

fof(f3410,plain,
    ( ~ c3_1(a131)
    | ~ c0_1(a131)
    | ~ spl0_2
    | ~ spl0_156 ),
    inference(resolution,[],[f940,f202]) ).

fof(f3431,plain,
    ( c3_1(a114)
    | ~ spl0_14
    | ~ spl0_29
    | ~ spl0_133 ),
    inference(resolution,[],[f3389,f825]) ).

fof(f3438,plain,
    ( c3_1(a163)
    | c2_1(a163)
    | ~ spl0_13
    | ~ spl0_177 ),
    inference(resolution,[],[f2627,f240]) ).

fof(f3441,plain,
    ( c2_1(a163)
    | ~ spl0_13
    | spl0_102
    | ~ spl0_177 ),
    inference(forward_subsumption_resolution,[],[f3438,f672]) ).

fof(f3444,plain,
    ( $false
    | ~ spl0_13
    | spl0_102
    | spl0_103
    | ~ spl0_177 ),
    inference(forward_subsumption_resolution,[],[f3441,f677]) ).

fof(f3445,plain,
    ( ~ spl0_13
    | spl0_102
    | spl0_103
    | ~ spl0_177 ),
    inference(avatar_contradiction_clause,[],[f3444]) ).

fof(f3446,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c3_1(X2) )
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[],[f237,f3389]) ).

fof(f3449,plain,
    ( ~ c0_1(a131)
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_29
    | ~ spl0_156 ),
    inference(forward_subsumption_resolution,[],[f2363,f1141]) ).

fof(f3454,plain,
    ( ~ spl0_157
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_29
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f3449,f938,f300,f232,f212,f943]) ).

fof(f3468,plain,
    ( ~ spl0_157
    | ~ spl0_155
    | ~ spl0_2
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f3410,f938,f201,f933,f943]) ).

fof(f3531,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_5
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f265,f213]) ).

fof(f3540,plain,
    ( c1_1(a110)
    | ~ spl0_5
    | ~ spl0_20
    | ~ spl0_129 ),
    inference(resolution,[],[f3531,f805]) ).

fof(f3543,plain,
    ( c1_1(a105)
    | ~ spl0_5
    | ~ spl0_20
    | ~ spl0_121 ),
    inference(resolution,[],[f3531,f765]) ).

fof(f3548,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_20
    | spl0_68
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f3543,f502]) ).

fof(f3549,plain,
    ( ~ spl0_5
    | ~ spl0_20
    | spl0_68
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f3548]) ).

fof(f3550,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_20
    | spl0_75
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f3540,f537]) ).

fof(f3551,plain,
    ( ~ spl0_5
    | ~ spl0_20
    | spl0_75
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f3550]) ).

fof(f3558,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_8
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[],[f301,f223]) ).

fof(f3566,plain,
    ( ~ spl0_160
    | spl0_163
    | ~ spl0_6
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f3248,f953,f215,f1166,f958]) ).

fof(f3570,plain,
    ( c1_1(a117)
    | ~ spl0_5
    | ~ spl0_137
    | ~ spl0_169 ),
    inference(forward_subsumption_resolution,[],[f2273,f845]) ).

fof(f3571,plain,
    ( spl0_85
    | spl0_169
    | ~ spl0_16
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1122,f838,f250,f1534,f585]) ).

fof(f3573,plain,
    ( spl0_85
    | ~ spl0_5
    | ~ spl0_137
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f3570,f1534,f843,f212,f585]) ).

fof(f3684,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_8
    | ~ spl0_21
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[],[f269,f3558]) ).

fof(f3696,plain,
    ( c1_1(a110)
    | ~ spl0_8
    | ~ spl0_21
    | ~ spl0_29
    | spl0_74 ),
    inference(resolution,[],[f3684,f532]) ).

fof(f3700,plain,
    ( c1_1(a153)
    | ~ spl0_8
    | ~ spl0_21
    | ~ spl0_29
    | spl0_99 ),
    inference(resolution,[],[f3684,f657]) ).

fof(f3707,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_21
    | ~ spl0_29
    | spl0_99
    | spl0_100 ),
    inference(forward_subsumption_resolution,[],[f3700,f662]) ).

fof(f3708,plain,
    ( ~ spl0_8
    | ~ spl0_21
    | ~ spl0_29
    | spl0_99
    | spl0_100 ),
    inference(avatar_contradiction_clause,[],[f3707]) ).

fof(f3713,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_21
    | ~ spl0_29
    | spl0_74
    | spl0_75 ),
    inference(forward_subsumption_resolution,[],[f3696,f537]) ).

fof(f3714,plain,
    ( ~ spl0_8
    | ~ spl0_21
    | ~ spl0_29
    | spl0_74
    | spl0_75 ),
    inference(avatar_contradiction_clause,[],[f3713]) ).

fof(f3725,plain,
    ( spl0_164
    | ~ spl0_13
    | ~ spl0_23
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2993,f928,f274,f239,f1218]) ).

fof(f3783,plain,
    ( ! [X0] : c1_1(X0)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_18
    | ~ spl0_19
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f3009,f1772]) ).

fof(f3789,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_18
    | ~ spl0_19
    | ~ spl0_42
    | spl0_64 ),
    inference(resolution,[],[f3783,f482]) ).

fof(f3791,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_18
    | ~ spl0_19
    | ~ spl0_42
    | spl0_100 ),
    inference(resolution,[],[f3783,f662]) ).

fof(f3794,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_18
    | ~ spl0_19
    | ~ spl0_42
    | spl0_100 ),
    inference(avatar_contradiction_clause,[],[f3791]) ).

fof(f3796,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_18
    | ~ spl0_19
    | ~ spl0_42
    | spl0_64 ),
    inference(avatar_contradiction_clause,[],[f3789]) ).

fof(f3815,plain,
    ( ~ c0_1(a128)
    | ~ spl0_11
    | ~ spl0_153
    | ~ spl0_164 ),
    inference(forward_subsumption_resolution,[],[f3275,f925]) ).

fof(f3818,plain,
    ( ~ c1_1(a106)
    | ~ spl0_11
    | ~ spl0_123
    | ~ spl0_168 ),
    inference(forward_subsumption_resolution,[],[f3286,f775]) ).

fof(f3837,plain,
    ( spl0_83
    | ~ spl0_14
    | ~ spl0_29
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f3431,f823,f300,f243,f575]) ).

fof(f3863,plain,
    ( ~ spl0_154
    | ~ spl0_11
    | ~ spl0_153
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f3815,f1218,f923,f232,f928]) ).

fof(f3864,plain,
    ( ~ spl0_122
    | ~ spl0_11
    | ~ spl0_123
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f3818,f1437,f773,f232,f768]) ).

fof(f3928,plain,
    ( c2_1(a135)
    | ~ spl0_6
    | ~ spl0_18
    | ~ spl0_143 ),
    inference(resolution,[],[f2454,f875]) ).

fof(f3940,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_18
    | spl0_91
    | ~ spl0_143 ),
    inference(forward_subsumption_resolution,[],[f3928,f617]) ).

fof(f3941,plain,
    ( ~ spl0_6
    | ~ spl0_18
    | spl0_91
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f3940]) ).

fof(f3959,plain,
    ( c3_1(a135)
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_29
    | spl0_91 ),
    inference(resolution,[],[f3446,f617]) ).

fof(f3969,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_29
    | spl0_90
    | spl0_91 ),
    inference(forward_subsumption_resolution,[],[f3959,f612]) ).

fof(f3970,plain,
    ( ~ spl0_12
    | ~ spl0_14
    | ~ spl0_29
    | spl0_90
    | spl0_91 ),
    inference(avatar_contradiction_clause,[],[f3969]) ).

fof(f4002,plain,
    ( ~ spl0_139
    | ~ spl0_165
    | ~ spl0_11
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f3279,f848,f232,f1284,f853]) ).

fof(f4006,plain,
    ( spl0_167
    | spl0_83
    | ~ spl0_14
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f3316,f823,f243,f575,f1327]) ).

fof(f4018,plain,
    ( ~ c3_1(a105)
    | ~ c0_1(a105)
    | ~ spl0_2
    | ~ spl0_121 ),
    inference(resolution,[],[f202,f765]) ).

fof(f4019,plain,
    ( ~ c3_1(a104)
    | ~ c0_1(a104)
    | ~ spl0_2
    | ~ spl0_118 ),
    inference(resolution,[],[f202,f750]) ).

fof(f4092,plain,
    ( c1_1(a105)
    | c0_1(a105)
    | ~ spl0_20
    | ~ spl0_121 ),
    inference(resolution,[],[f265,f765]) ).

fof(f4095,plain,
    ( c1_1(a102)
    | c0_1(a102)
    | ~ spl0_20
    | ~ spl0_115 ),
    inference(resolution,[],[f265,f735]) ).

fof(f4098,plain,
    ( c0_1(a105)
    | ~ spl0_20
    | spl0_68
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f4092,f502]) ).

fof(f4103,plain,
    ( spl0_174
    | ~ spl0_20
    | spl0_68
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f4098,f763,f500,f264,f2470]) ).

fof(f4116,plain,
    ( ~ spl0_174
    | ~ spl0_120
    | ~ spl0_2
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f4018,f763,f201,f758,f2470]) ).

fof(f4120,plain,
    ( ~ spl0_119
    | ~ spl0_180
    | ~ spl0_2
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f4019,f748,f201,f3143,f753]) ).

fof(f4122,plain,
    ( c1_1(a102)
    | ~ spl0_20
    | spl0_65
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f4095,f487]) ).

fof(f4123,plain,
    ( spl0_64
    | ~ spl0_20
    | spl0_65
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f4122,f733,f485,f264,f480]) ).

fof(f4131,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_14
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f269,f244]) ).

fof(f4135,plain,
    ( c0_1(a135)
    | ~ spl0_14
    | ~ spl0_21
    | spl0_90 ),
    inference(resolution,[],[f4131,f612]) ).

fof(f4138,plain,
    ( c0_1(a112)
    | ~ spl0_14
    | ~ spl0_21
    | spl0_79 ),
    inference(resolution,[],[f4131,f557]) ).

fof(f4142,plain,
    ( c0_1(a163)
    | ~ spl0_14
    | ~ spl0_21
    | spl0_102 ),
    inference(resolution,[],[f4131,f672]) ).

fof(f4143,plain,
    ( c0_1(a153)
    | ~ spl0_14
    | ~ spl0_21
    | spl0_99 ),
    inference(resolution,[],[f4131,f657]) ).

fof(f4150,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_21
    | spl0_99
    | spl0_101 ),
    inference(forward_subsumption_resolution,[],[f4143,f667]) ).

fof(f4151,plain,
    ( ~ spl0_14
    | ~ spl0_21
    | spl0_99
    | spl0_101 ),
    inference(avatar_contradiction_clause,[],[f4150]) ).

fof(f4152,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_21
    | spl0_102
    | spl0_177 ),
    inference(forward_subsumption_resolution,[],[f4142,f2628]) ).

fof(f4153,plain,
    ( ~ spl0_14
    | ~ spl0_21
    | spl0_102
    | spl0_177 ),
    inference(avatar_contradiction_clause,[],[f4152]) ).

fof(f4156,plain,
    ( spl0_181
    | ~ spl0_14
    | ~ spl0_21
    | spl0_79 ),
    inference(avatar_split_clause,[],[f4138,f555,f268,f243,f3202]) ).

fof(f4157,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_21
    | spl0_90
    | spl0_143 ),
    inference(forward_subsumption_resolution,[],[f4135,f874]) ).

fof(f4158,plain,
    ( ~ spl0_14
    | ~ spl0_21
    | spl0_90
    | spl0_143 ),
    inference(avatar_contradiction_clause,[],[f4157]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f210]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f220]) ).

cnf(s3,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f227]) ).

cnf(s4,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f234]) ).

cnf(s5,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f241]) ).

cnf(s6,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(sat_conversion,[],[f248]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f255]) ).

cnf(s8,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_6
    | spl0_18 ),
    inference(sat_conversion,[],[f259]) ).

cnf(s9,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f266]) ).

cnf(s10,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f276]) ).

cnf(s13,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_15
    | spl0_27 ),
    inference(sat_conversion,[],[f294]) ).

cnf(s14,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_28
    | spl0_29 ),
    inference(sat_conversion,[],[f302]) ).

cnf(s16,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_23
    | spl0_30 ),
    inference(sat_conversion,[],[f311]) ).

cnf(s17,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_17
    | spl0_32 ),
    inference(sat_conversion,[],[f316]) ).

cnf(s21,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_20
    | spl0_34 ),
    inference(sat_conversion,[],[f335]) ).

cnf(s22,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_15
    | spl0_37 ),
    inference(sat_conversion,[],[f340]) ).

cnf(s23,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_18
    | spl0_30 ),
    inference(sat_conversion,[],[f341]) ).

cnf(s24,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_10
    | spl0_38 ),
    inference(sat_conversion,[],[f346]) ).

cnf(s25,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_39
    | spl0_40 ),
    inference(sat_conversion,[],[f354]) ).

cnf(s26,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_23
    | spl0_27 ),
    inference(sat_conversion,[],[f355]) ).

cnf(s28,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_18
    | spl0_43 ),
    inference(sat_conversion,[],[f368]) ).

cnf(s29,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_35
    | spl0_43 ),
    inference(sat_conversion,[],[f369]) ).

cnf(s30,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_44
    | spl0_45 ),
    inference(sat_conversion,[],[f377]) ).

cnf(s32,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_19
    | spl0_48 ),
    inference(sat_conversion,[],[f390]) ).

cnf(s36,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_46
    | spl0_51 ),
    inference(sat_conversion,[],[f406]) ).

cnf(s37,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_39
    | spl0_52 ),
    inference(sat_conversion,[],[f411]) ).

cnf(s40,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_24
    | spl0_53 ),
    inference(sat_conversion,[],[f418]) ).

cnf(s41,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_52
    | spl0_54 ),
    inference(sat_conversion,[],[f423]) ).

cnf(s43,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_52
    | spl0_55 ),
    inference(sat_conversion,[],[f429]) ).

cnf(s46,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_25
    | spl0_56 ),
    inference(sat_conversion,[],[f440]) ).

cnf(s47,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_54
    | spl0_58 ),
    inference(sat_conversion,[],[f445]) ).

cnf(s50,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_36
    | spl0_51 ),
    inference(sat_conversion,[],[f451]) ).

cnf(s52,plain,
    ( ~ spl0_3
    | spl0_30
    | spl0_42
    | spl0_51 ),
    inference(sat_conversion,[],[f453]) ).

cnf(s55,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_56
    | spl0_57 ),
    inference(sat_conversion,[],[f456]) ).

cnf(s59,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_52
    | spl0_61 ),
    inference(sat_conversion,[],[f468]) ).

cnf(s60,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_62 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s62,plain,
    ( ~ spl0_24
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f483]) ).

cnf(s63,plain,
    ( ~ spl0_24
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f488]) ).

cnf(s64,plain,
    ( ~ spl0_48
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f493]) ).

cnf(s65,plain,
    ( ~ spl0_61
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f498]) ).

cnf(s66,plain,
    ( ~ spl0_52
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f503]) ).

cnf(s67,plain,
    ( ~ spl0_62
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f508]) ).

cnf(s70,plain,
    ( ~ spl0_36
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f523]) ).

cnf(s71,plain,
    ( ~ spl0_36
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f528]) ).

cnf(s72,plain,
    ( ~ spl0_60
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f533]) ).

cnf(s73,plain,
    ( ~ spl0_60
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f538]) ).

cnf(s74,plain,
    ( ~ spl0_34
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f543]) ).

cnf(s75,plain,
    ( ~ spl0_34
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f548]) ).

cnf(s76,plain,
    ( ~ spl0_34
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f553]) ).

cnf(s77,plain,
    ( ~ spl0_46
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f558]) ).

cnf(s78,plain,
    ( ~ spl0_46
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f563]) ).

cnf(s79,plain,
    ( ~ spl0_27
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f568]) ).

cnf(s80,plain,
    ( ~ spl0_27
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f573]) ).

cnf(s81,plain,
    ( ~ spl0_39
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f578]) ).

cnf(s82,plain,
    ( ~ spl0_38
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f583]) ).

cnf(s83,plain,
    ( ~ spl0_57
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f588]) ).

cnf(s84,plain,
    ( ~ spl0_43
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f593]) ).

cnf(s85,plain,
    ( ~ spl0_30
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f598]) ).

cnf(s86,plain,
    ( ~ spl0_30
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f603]) ).

cnf(s87,plain,
    ( ~ spl0_37
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f608]) ).

cnf(s88,plain,
    ( ~ spl0_51
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f613]) ).

cnf(s89,plain,
    ( ~ spl0_51
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f618]) ).

cnf(s90,plain,
    ( ~ spl0_32
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s91,plain,
    ( ~ spl0_32
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s92,plain,
    ( ~ spl0_58
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s93,plain,
    ( ~ spl0_58
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f638]) ).

cnf(s94,plain,
    ( ~ spl0_28
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s95,plain,
    ( ~ spl0_28
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f648]) ).

cnf(s96,plain,
    ( ~ spl0_28
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f653]) ).

cnf(s97,plain,
    ( ~ spl0_55
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f658]) ).

cnf(s98,plain,
    ( ~ spl0_55
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f663]) ).

cnf(s99,plain,
    ( ~ spl0_55
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f668]) ).

cnf(s100,plain,
    ( ~ spl0_53
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f673]) ).

cnf(s101,plain,
    ( ~ spl0_53
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f678]) ).

cnf(s102,plain,
    ( ~ spl0_53
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f683]) ).

cnf(s103,plain,
    ( ~ spl0_50
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f688]) ).

cnf(s104,plain,
    ( ~ spl0_50
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f693]) ).

cnf(s111,plain,
    ( ~ spl0_24
    | spl0_115 ),
    inference(sat_conversion,[],[f736]) ).

cnf(s113,plain,
    ( ~ spl0_48
    | spl0_117 ),
    inference(sat_conversion,[],[f746]) ).

cnf(s114,plain,
    ( ~ spl0_61
    | spl0_118 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s115,plain,
    ( ~ spl0_61
    | spl0_119 ),
    inference(sat_conversion,[],[f756]) ).

cnf(s116,plain,
    ( ~ spl0_52
    | spl0_120 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s117,plain,
    ( ~ spl0_52
    | spl0_121 ),
    inference(sat_conversion,[],[f766]) ).

cnf(s118,plain,
    ( ~ spl0_62
    | spl0_122 ),
    inference(sat_conversion,[],[f771]) ).

cnf(s119,plain,
    ( ~ spl0_62
    | spl0_123 ),
    inference(sat_conversion,[],[f776]) ).

cnf(s120,plain,
    ( ~ spl0_44
    | spl0_124 ),
    inference(sat_conversion,[],[f781]) ).

cnf(s121,plain,
    ( ~ spl0_44
    | spl0_125 ),
    inference(sat_conversion,[],[f786]) ).

cnf(s124,plain,
    ( ~ spl0_36
    | spl0_128 ),
    inference(sat_conversion,[],[f801]) ).

cnf(s125,plain,
    ( ~ spl0_60
    | spl0_129 ),
    inference(sat_conversion,[],[f806]) ).

cnf(s126,plain,
    ( ~ spl0_46
    | spl0_130 ),
    inference(sat_conversion,[],[f811]) ).

cnf(s127,plain,
    ( ~ spl0_27
    | spl0_131 ),
    inference(sat_conversion,[],[f816]) ).

cnf(s128,plain,
    ( ~ spl0_39
    | spl0_132 ),
    inference(sat_conversion,[],[f821]) ).

cnf(s129,plain,
    ( ~ spl0_39
    | spl0_133 ),
    inference(sat_conversion,[],[f826]) ).

cnf(s130,plain,
    ( ~ spl0_38
    | spl0_134 ),
    inference(sat_conversion,[],[f831]) ).

cnf(s131,plain,
    ( ~ spl0_38
    | spl0_135 ),
    inference(sat_conversion,[],[f836]) ).

cnf(s132,plain,
    ( ~ spl0_57
    | spl0_136 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s133,plain,
    ( ~ spl0_57
    | spl0_137 ),
    inference(sat_conversion,[],[f846]) ).

cnf(s134,plain,
    ( ~ spl0_43
    | spl0_138 ),
    inference(sat_conversion,[],[f851]) ).

cnf(s135,plain,
    ( ~ spl0_43
    | spl0_139 ),
    inference(sat_conversion,[],[f856]) ).

cnf(s136,plain,
    ( ~ spl0_30
    | spl0_140 ),
    inference(sat_conversion,[],[f861]) ).

cnf(s137,plain,
    ( ~ spl0_37
    | spl0_141 ),
    inference(sat_conversion,[],[f866]) ).

cnf(s138,plain,
    ( ~ spl0_37
    | spl0_142 ),
    inference(sat_conversion,[],[f871]) ).

cnf(s139,plain,
    ( ~ spl0_51
    | spl0_143 ),
    inference(sat_conversion,[],[f876]) ).

cnf(s140,plain,
    ( ~ spl0_32
    | spl0_144 ),
    inference(sat_conversion,[],[f881]) ).

cnf(s141,plain,
    ( ~ spl0_58
    | spl0_145 ),
    inference(sat_conversion,[],[f886]) ).

cnf(s142,plain,
    ( ~ spl0_50
    | spl0_146 ),
    inference(sat_conversion,[],[f891]) ).

cnf(s145,plain,
    ( ~ spl0_56
    | spl0_149 ),
    inference(sat_conversion,[],[f906]) ).

cnf(s146,plain,
    ( ~ spl0_56
    | spl0_150 ),
    inference(sat_conversion,[],[f911]) ).

cnf(s147,plain,
    ( ~ spl0_56
    | spl0_151 ),
    inference(sat_conversion,[],[f916]) ).

cnf(s148,plain,
    ( ~ spl0_54
    | spl0_152 ),
    inference(sat_conversion,[],[f921]) ).

cnf(s149,plain,
    ( ~ spl0_54
    | spl0_153 ),
    inference(sat_conversion,[],[f926]) ).

cnf(s150,plain,
    ( ~ spl0_54
    | spl0_154 ),
    inference(sat_conversion,[],[f931]) ).

cnf(s151,plain,
    ( ~ spl0_41
    | spl0_155 ),
    inference(sat_conversion,[],[f936]) ).

cnf(s152,plain,
    ( ~ spl0_41
    | spl0_156 ),
    inference(sat_conversion,[],[f941]) ).

cnf(s153,plain,
    ( ~ spl0_41
    | spl0_157 ),
    inference(sat_conversion,[],[f946]) ).

cnf(s154,plain,
    ( ~ spl0_25
    | spl0_158 ),
    inference(sat_conversion,[],[f951]) ).

cnf(s155,plain,
    ( ~ spl0_25
    | spl0_159 ),
    inference(sat_conversion,[],[f956]) ).

cnf(s156,plain,
    ( ~ spl0_25
    | spl0_160 ),
    inference(sat_conversion,[],[f961]) ).

cnf(s160,plain,
    ( spl0_52
    | spl0_60
    | spl0_62 ),
    inference(sat_conversion,[],[f965]) ).

cnf(s161,plain,
    ( spl0_43
    | spl0_50
    | spl0_62 ),
    inference(sat_conversion,[],[f966]) ).

cnf(s162,plain,
    ( spl0_39
    | spl0_57
    | spl0_62 ),
    inference(sat_conversion,[],[f967]) ).

cnf(s163,plain,
    ( spl0_25
    | spl0_41
    | spl0_53 ),
    inference(sat_conversion,[],[f968]) ).

cnf(s188,plain,
    ( spl0_3
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f993]) ).

cnf(s194,plain,
    ( spl0_3
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f999]) ).

cnf(s195,plain,
    ( spl0_3
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f1000]) ).

cnf(s196,plain,
    ( spl0_36
    | spl0_50 ),
    inference(sat_conversion,[],[f1001]) ).

cnf(s201,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1063]) ).

cnf(s204,plain,
    ( ~ spl0_5
    | ~ spl0_18
    | spl0_85
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1083]) ).

cnf(s206,plain,
    ( ~ spl0_10
    | spl0_81
    | spl0_82
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f1087]) ).

cnf(s212,plain,
    ( ~ spl0_8
    | ~ spl0_10
    | ~ spl0_17
    | spl0_94
    | spl0_95
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1136]) ).

cnf(s221,plain,
    ( ~ spl0_10
    | ~ spl0_40
    | spl0_77
    | spl0_78 ),
    inference(sat_conversion,[],[f1186]) ).

cnf(s223,plain,
    ( ~ spl0_10
    | ~ spl0_40
    | spl0_105
    | spl0_106 ),
    inference(sat_conversion,[],[f1190]) ).

cnf(s233,plain,
    ( ~ spl0_1
    | spl0_87
    | spl0_88
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1247]) ).

cnf(s236,plain,
    ( ~ spl0_12
    | spl0_102
    | spl0_103
    | spl0_104 ),
    inference(sat_conversion,[],[f1272]) ).

cnf(s239,plain,
    ( ~ spl0_4
    | ~ spl0_152
    | ~ spl0_153
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1278]) ).

cnf(s241,plain,
    ( ~ spl0_10
    | spl0_86
    | ~ spl0_138
    | spl0_165 ),
    inference(sat_conversion,[],[f1289]) ).

cnf(s242,plain,
    ( ~ spl0_9
    | spl0_86
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1290]) ).

cnf(s244,plain,
    ( ~ spl0_6
    | spl0_86
    | ~ spl0_139
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1296]) ).

cnf(s246,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1312]) ).

cnf(s248,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1316]) ).

cnf(s252,plain,
    ( ~ spl0_6
    | ~ spl0_14
    | spl0_79
    | spl0_80
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1332]) ).

cnf(s253,plain,
    ( ~ spl0_14
    | spl0_72
    | spl0_73
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1333]) ).

cnf(s262,plain,
    ( ~ spl0_11
    | ~ spl0_158
    | ~ spl0_159
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1366]) ).

cnf(s276,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | ~ spl0_45
    | spl0_73
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1411]) ).

cnf(s281,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | ~ spl0_45
    | spl0_106
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1419]) ).

cnf(s285,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | ~ spl0_16
    | spl0_94
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1428]) ).

cnf(s287,plain,
    ( ~ spl0_16
    | spl0_94
    | spl0_95
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1434]) ).

cnf(s291,plain,
    ( ~ spl0_6
    | spl0_69
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f1442]) ).

cnf(s306,plain,
    ( ~ spl0_8
    | spl0_92
    | spl0_93
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1489]) ).

cnf(s318,plain,
    ( ~ spl0_2
    | ~ spl0_16
    | spl0_85
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1532]) ).

cnf(s325,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_136
    | spl0_169 ),
    inference(sat_conversion,[],[f1555]) ).

cnf(s344,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | ~ spl0_155
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1659]) ).

cnf(s350,plain,
    ( ~ spl0_5
    | ~ spl0_11
    | ~ spl0_18
    | ~ spl0_155
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1677]) ).

cnf(s352,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_15
    | ~ spl0_137
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1683]) ).

cnf(s373,plain,
    ( ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_18
    | ~ spl0_35
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1767]) ).

cnf(s379,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_68
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1778]) ).

cnf(s389,plain,
    ( ~ spl0_5
    | ~ spl0_18
    | spl0_67
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f1804]) ).

cnf(s421,plain,
    ( ~ spl0_4
    | ~ spl0_158
    | ~ spl0_159
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1940]) ).

cnf(s422,plain,
    ( ~ spl0_4
    | ~ spl0_149
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1941]) ).

cnf(s497,plain,
    ( ~ spl0_4
    | ~ spl0_155
    | ~ spl0_156
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f2349]) ).

cnf(s507,plain,
    ( ~ spl0_8
    | ~ spl0_17
    | ~ spl0_157
    | spl0_173 ),
    inference(sat_conversion,[],[f2371]) ).

cnf(s511,plain,
    ( ~ spl0_8
    | ~ spl0_17
    | ~ spl0_21
    | spl0_102
    | spl0_104 ),
    inference(sat_conversion,[],[f2413]) ).

cnf(s526,plain,
    ( ~ spl0_6
    | ~ spl0_18
    | ~ spl0_137
    | spl0_169 ),
    inference(sat_conversion,[],[f2466]) ).

cnf(s527,plain,
    ( ~ spl0_6
    | ~ spl0_18
    | spl0_89
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f2468]) ).

cnf(s532,plain,
    ( ~ spl0_1
    | ~ spl0_17
    | ~ spl0_141
    | spl0_162 ),
    inference(sat_conversion,[],[f2479]) ).

cnf(s533,plain,
    ( ~ spl0_1
    | ~ spl0_17
    | spl0_68
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f2480]) ).

cnf(s535,plain,
    ( ~ spl0_9
    | spl0_89
    | ~ spl0_141
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2483]) ).

cnf(s537,plain,
    ( ~ spl0_16
    | spl0_89
    | ~ spl0_141
    | spl0_162 ),
    inference(sat_conversion,[],[f2485]) ).

cnf(s542,plain,
    ( ~ spl0_6
    | spl0_89
    | ~ spl0_142
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2494]) ).

cnf(s567,plain,
    ( ~ spl0_8
    | ~ spl0_17
    | ~ spl0_21
    | spl0_74
    | spl0_75 ),
    inference(sat_conversion,[],[f2593]) ).

cnf(s573,plain,
    ( ~ spl0_2
    | ~ spl0_158
    | ~ spl0_160
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2605]) ).

cnf(s607,plain,
    ( ~ spl0_5
    | spl0_67
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f2637]) ).

cnf(s609,plain,
    ( ~ spl0_13
    | spl0_69
    | ~ spl0_123
    | spl0_168 ),
    inference(sat_conversion,[],[f2643]) ).

cnf(s615,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_18
    | ~ spl0_21
    | spl0_64 ),
    inference(sat_conversion,[],[f2685]) ).

cnf(s620,plain,
    ( ~ spl0_5
    | ~ spl0_18
    | ~ spl0_19
    | ~ spl0_20
    | spl0_64 ),
    inference(sat_conversion,[],[f2713]) ).

cnf(s623,plain,
    ( ~ spl0_2
    | ~ spl0_23
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f2734]) ).

cnf(s626,plain,
    ( ~ spl0_2
    | ~ spl0_23
    | ~ spl0_156
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f2740]) ).

cnf(s658,plain,
    ( ~ spl0_1
    | ~ spl0_17
    | ~ spl0_22
    | spl0_64
    | spl0_65
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f2841]) ).

cnf(s666,plain,
    ( ~ spl0_15
    | ~ spl0_152
    | ~ spl0_153
    | spl0_164 ),
    inference(sat_conversion,[],[f2858]) ).

cnf(s668,plain,
    ( ~ spl0_15
    | spl0_83
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f2861]) ).

cnf(s681,plain,
    ( spl0_14
    | ~ spl0_15
    | ~ spl0_40 ),
    inference(sat_conversion,[],[f2966]) ).

cnf(s690,plain,
    ( ~ spl0_23
    | spl0_83
    | ~ spl0_132
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f2982]) ).

cnf(s694,plain,
    ( ~ spl0_13
    | ~ spl0_23
    | ~ spl0_123
    | spl0_168 ),
    inference(sat_conversion,[],[f3000]) ).

cnf(s696,plain,
    ( ~ spl0_13
    | ~ spl0_23
    | spl0_66
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f3006]) ).

cnf(s698,plain,
    ( ~ spl0_13
    | ~ spl0_23
    | spl0_90
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f3017]) ).

cnf(s724,plain,
    ( ~ spl0_40
    | spl0_76
    | spl0_77
    | spl0_78 ),
    inference(sat_conversion,[],[f3059]) ).

cnf(s725,plain,
    ( ~ spl0_23
    | spl0_84
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f3061]) ).

cnf(s726,plain,
    ( ~ spl0_11
    | ~ spl0_17
    | ~ spl0_141
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f3067]) ).

cnf(s727,plain,
    ( ~ spl0_11
    | ~ spl0_17
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f3068]) ).

cnf(s731,plain,
    ( ~ spl0_11
    | ~ spl0_141
    | ~ spl0_142
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f3071]) ).

cnf(s738,plain,
    ( ~ spl0_11
    | ~ spl0_17
    | ~ spl0_123
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f3117]) ).

cnf(s740,plain,
    ( ~ spl0_11
    | ~ spl0_17
    | ~ spl0_155
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f3121]) ).

cnf(s746,plain,
    ( ~ spl0_2
    | ~ spl0_136
    | ~ spl0_137
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f3129]) ).

cnf(s827,plain,
    ( ~ spl0_8
    | spl0_67
    | ~ spl0_119
    | spl0_180 ),
    inference(sat_conversion,[],[f3269]) ).

cnf(s831,plain,
    ( ~ spl0_13
    | spl0_90
    | spl0_91
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f3305]) ).

cnf(s848,plain,
    ( ~ spl0_11
    | ~ spl0_29
    | ~ spl0_130
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f3390]) ).

cnf(s851,plain,
    ( ~ spl0_19
    | spl0_103
    | spl0_104
    | spl0_177 ),
    inference(sat_conversion,[],[f3396]) ).

cnf(s852,plain,
    ( ~ spl0_19
    | spl0_96
    | spl0_97
    | spl0_98 ),
    inference(sat_conversion,[],[f3397]) ).

cnf(s860,plain,
    ( ~ spl0_13
    | spl0_102
    | spl0_103
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f3445]) ).

cnf(s866,plain,
    ( ~ spl0_5
    | ~ spl0_11
    | ~ spl0_29
    | ~ spl0_156
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f3454]) ).

cnf(s885,plain,
    ( ~ spl0_2
    | ~ spl0_155
    | ~ spl0_156
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f3468]) ).

cnf(s921,plain,
    ( ~ spl0_5
    | ~ spl0_20
    | spl0_68
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f3549]) ).

cnf(s922,plain,
    ( ~ spl0_5
    | ~ spl0_20
    | spl0_75
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f3551]) ).

cnf(s931,plain,
    ( ~ spl0_6
    | ~ spl0_159
    | ~ spl0_160
    | spl0_163 ),
    inference(sat_conversion,[],[f3566]) ).

cnf(s939,plain,
    ( ~ spl0_16
    | spl0_85
    | ~ spl0_136
    | spl0_169 ),
    inference(sat_conversion,[],[f3571]) ).

cnf(s940,plain,
    ( ~ spl0_5
    | spl0_85
    | ~ spl0_137
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f3573]) ).

cnf(s975,plain,
    ( ~ spl0_8
    | ~ spl0_21
    | ~ spl0_29
    | spl0_99
    | spl0_100 ),
    inference(sat_conversion,[],[f3708]) ).

cnf(s978,plain,
    ( ~ spl0_8
    | ~ spl0_21
    | ~ spl0_29
    | spl0_74
    | spl0_75 ),
    inference(sat_conversion,[],[f3714]) ).

cnf(s990,plain,
    ( ~ spl0_13
    | ~ spl0_23
    | ~ spl0_154
    | spl0_164 ),
    inference(sat_conversion,[],[f3725]) ).

cnf(s1000,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_18
    | ~ spl0_19
    | ~ spl0_42
    | spl0_100 ),
    inference(sat_conversion,[],[f3794]) ).

cnf(s1002,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_18
    | ~ spl0_19
    | ~ spl0_42
    | spl0_64 ),
    inference(sat_conversion,[],[f3796]) ).

cnf(s1030,plain,
    ( ~ spl0_14
    | ~ spl0_29
    | spl0_83
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f3837]) ).

cnf(s1054,plain,
    ( ~ spl0_11
    | ~ spl0_153
    | ~ spl0_154
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f3863]) ).

cnf(s1056,plain,
    ( ~ spl0_11
    | ~ spl0_122
    | ~ spl0_123
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f3864]) ).

cnf(s1110,plain,
    ( ~ spl0_6
    | ~ spl0_18
    | spl0_91
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f3941]) ).

cnf(s1115,plain,
    ( ~ spl0_12
    | ~ spl0_14
    | ~ spl0_29
    | spl0_90
    | spl0_91 ),
    inference(sat_conversion,[],[f3970]) ).

cnf(s1148,plain,
    ( ~ spl0_11
    | ~ spl0_138
    | ~ spl0_139
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f4002]) ).

cnf(s1153,plain,
    ( ~ spl0_14
    | spl0_83
    | ~ spl0_133
    | spl0_167 ),
    inference(sat_conversion,[],[f4006]) ).

cnf(s1176,plain,
    ( ~ spl0_20
    | spl0_68
    | ~ spl0_121
    | spl0_174 ),
    inference(sat_conversion,[],[f4103]) ).

cnf(s1189,plain,
    ( ~ spl0_2
    | ~ spl0_120
    | ~ spl0_121
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f4116]) ).

cnf(s1193,plain,
    ( ~ spl0_2
    | ~ spl0_118
    | ~ spl0_119
    | ~ spl0_180 ),
    inference(sat_conversion,[],[f4120]) ).

cnf(s1197,plain,
    ( ~ spl0_20
    | spl0_64
    | spl0_65
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f4123]) ).

cnf(s1201,plain,
    ( ~ spl0_14
    | ~ spl0_21
    | spl0_99
    | spl0_101 ),
    inference(sat_conversion,[],[f4151]) ).

cnf(s1202,plain,
    ( ~ spl0_14
    | ~ spl0_21
    | spl0_102
    | spl0_177 ),
    inference(sat_conversion,[],[f4153]) ).

cnf(s1205,plain,
    ( ~ spl0_14
    | ~ spl0_21
    | spl0_79
    | spl0_181 ),
    inference(sat_conversion,[],[f4156]) ).

cnf(s1206,plain,
    ( ~ spl0_14
    | ~ spl0_21
    | spl0_90
    | spl0_143 ),
    inference(sat_conversion,[],[f4158]) ).

cnf(s1207,plain,
    spl0_3,
    inference(rat,[],[s163,s188,s194,s195]) ).

cnf(s1208,plain,
    ( ~ spl0_43
    | ~ spl0_9 ),
    inference(rat,[],[s242,s84,s134,s135]) ).

cnf(s1209,plain,
    ( ~ spl0_44
    | ~ spl0_15
    | ~ spl0_4 ),
    inference(rat,[],[s201,s120,s121]) ).

cnf(s1210,plain,
    ( ~ spl0_36
    | ~ spl0_45
    | ~ spl0_15
    | ~ spl0_4 ),
    inference(rat,[],[s276,s71,s124]) ).

cnf(s1211,plain,
    ( ~ spl0_45
    | ~ spl0_15
    | ~ spl0_4 ),
    inference(rat,[],[s281,s104,s142,s196,s1210]) ).

cnf(s1212,plain,
    ( ~ spl0_15
    | spl0_16
    | ~ spl0_4 ),
    inference(rat,[],[s1211,s30,s1209,s1207]) ).

cnf(s1213,plain,
    ( ~ spl0_36
    | ~ spl0_14 ),
    inference(rat,[],[s253,s70,s71,s124]) ).

cnf(s1214,plain,
    ( ~ spl0_56
    | ~ spl0_4 ),
    inference(rat,[],[s422,s145,s146,s147]) ).

cnf(s1216,plain,
    ( ~ spl0_27
    | ~ spl0_10 ),
    inference(rat,[],[s206,s79,s80,s127]) ).

cnf(s1218,plain,
    ( ~ spl0_25
    | ~ spl0_11 ),
    inference(rat,[],[s262,s154,s155,s156]) ).

cnf(s1219,plain,
    ( ~ spl0_38
    | ~ spl0_23 ),
    inference(rat,[],[s725,s82,s130,s131]) ).

cnf(s1220,plain,
    ( ~ spl0_54
    | ~ spl0_15
    | ~ spl0_4 ),
    inference(rat,[],[s248,s148,s149]) ).

cnf(s1222,plain,
    ( ~ spl0_15
    | spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s287,s92,s93,s141,s47,s1220,s1212,s1207]) ).

cnf(s1223,plain,
    ( spl0_10
    | spl0_56
    | spl0_1 ),
    inference(rat,[],[s727,s46,s132,s133,s1218,s55,s4,s1207]) ).

cnf(s1224,plain,
    ( ~ spl0_37
    | ~ spl0_16
    | ~ spl0_9 ),
    inference(rat,[],[s535,s537,s87,s137]) ).

cnf(s1226,plain,
    ( ~ spl0_58
    | ~ spl0_16
    | ~ spl0_9
    | ~ spl0_4 ),
    inference(rat,[],[s285,s92,s141]) ).

cnf(s1227,plain,
    ( ~ spl0_57
    | ~ spl0_17
    | ~ spl0_11 ),
    inference(rat,[],[s727,s132,s133]) ).

cnf(s1230,plain,
    ( ~ spl0_62
    | ~ spl0_6 ),
    inference(rat,[],[s291,s67,s118,s119]) ).

cnf(s1231,plain,
    ( ~ spl0_39
    | ~ spl0_14
    | ~ spl0_23 ),
    inference(rat,[],[s690,s1153,s81,s128,s129]) ).

cnf(s1232,plain,
    ( spl0_39
    | spl0_40
    | spl0_62
    | spl0_56 ),
    inference(rat,[],[s46,s1227,s1218,s162,s25,s1207]) ).

cnf(s1234,plain,
    ( ~ spl0_37
    | ~ spl0_9
    | ~ spl0_6 ),
    inference(rat,[],[s28,s527,s1224,s87,s138,s1208,s1207]) ).

cnf(s1235,plain,
    ( ~ spl0_54
    | ~ spl0_13
    | ~ spl0_23
    | ~ spl0_4 ),
    inference(rat,[],[s239,s990,s148,s149,s150]) ).

cnf(s1236,plain,
    ( ~ spl0_9
    | spl0_5
    | ~ spl0_23
    | ~ spl0_10
    | ~ spl0_4 ),
    inference(rat,[],[s7,s212,s1226,s92,s93,s141,s47,s1235,s22,s1234,s6,s1231,s1232,s223,s103,s104,s161,s1208,s1214,s1230,s13,s1216,s1222,s1207]) ).

cnf(s1237,plain,
    ( ~ spl0_58
    | ~ spl0_16 ),
    inference(rat,[],[s287,s92,s93,s141]) ).

cnf(s1238,plain,
    ( ~ spl0_14
    | spl0_62
    | ~ spl0_23
    | ~ spl0_10
    | spl0_56 ),
    inference(rat,[],[s223,s103,s104,s1232,s196,s1231,s1213]) ).

cnf(s1239,plain,
    ( spl0_5
    | ~ spl0_23
    | ~ spl0_10
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s7,s212,s1237,s92,s93,s141,s47,s1235,s6,s1238,s3,s1236,s1230,s13,s1222,s1214,s1216,s1207]) ).

cnf(s1240,plain,
    ( ~ spl0_61
    | ~ spl0_18
    | ~ spl0_5 ),
    inference(rat,[],[s389,s65,s115]) ).

cnf(s1244,plain,
    ( ~ spl0_11
    | spl0_53
    | ~ spl0_18
    | ~ spl0_5 ),
    inference(rat,[],[s350,s151,s153,s163,s1218]) ).

cnf(s1245,plain,
    ( ~ spl0_39
    | ~ spl0_15
    | ~ spl0_4 ),
    inference(rat,[],[s246,s128,s129]) ).

cnf(s1246,plain,
    ( spl0_40
    | ~ spl0_15
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s241,s1148,s84,s134,s135,s29,s236,s373,s100,s101,s102,s116,s1244,s41,s8,s1230,s25,s1232,s1239,s26,s1216,s1223,s1214,s1220,s1245,s1,s1207]) ).

cnf(s1247,plain,
    ( ~ spl0_15
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s223,s103,s104,s196,s1213,s681,s1246,s1223,s1214,s1,s1207]) ).

cnf(s1249,plain,
    ( ~ spl0_53
    | ~ spl0_8
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(rat,[],[s511,s100,s102]) ).

cnf(s1250,plain,
    ( ~ spl0_41
    | ~ spl0_17
    | ~ spl0_11 ),
    inference(rat,[],[s740,s151,s153]) ).

cnf(s1251,plain,
    ( spl0_8
    | ~ spl0_6
    | spl0_15
    | spl0_2 ),
    inference(rat,[],[s1234,s22,s3,s1207]) ).

cnf(s1253,plain,
    ( ~ spl0_41
    | ~ spl0_17
    | ~ spl0_8
    | ~ spl0_4 ),
    inference(rat,[],[s497,s507,s151,s152,s153]) ).

cnf(s1254,plain,
    ( ~ spl0_25
    | ~ spl0_6
    | ~ spl0_4 ),
    inference(rat,[],[s421,s931,s154,s155,s156]) ).

cnf(s1255,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s163,s1253,s1249,s46,s1254,s1251,s60,s1230,s13,s1247,s1216,s1223,s1214,s1,s1207]) ).

cnf(s1256,plain,
    ( spl0_11
    | spl0_20
    | spl0_39
    | ~ spl0_10 ),
    inference(rat,[],[s221,s75,s76,s21,s25,s1207]) ).

cnf(s1257,plain,
    ( spl0_6
    | spl0_39
    | ~ spl0_5
    | spl0_54
    | ~ spl0_10
    | spl0_1 ),
    inference(rat,[],[s241,s1148,s84,s134,s135,s29,s236,s100,s101,s102,s373,s1244,s1256,s921,s66,s116,s117,s41,s8,s1207]) ).

cnf(s1258,plain,
    ( ~ spl0_15
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s681,s1232,s1238,s1230,s1257,s1245,s1222,s1220,s26,s1216,s1223,s1214,s1207]) ).

cnf(s1259,plain,
    ( ~ spl0_48
    | ~ spl0_13
    | ~ spl0_23 ),
    inference(rat,[],[s696,s64,s113]) ).

cnf(s1260,plain,
    ( ~ spl0_53
    | spl0_48
    | ~ spl0_13
    | ~ spl0_17
    | ~ spl0_6
    | spl0_15 ),
    inference(rat,[],[s32,s1234,s851,s22,s860,s1249,s100,s101,s102,s60,s1230,s1207]) ).

cnf(s1261,plain,
    ( ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s626,s152,s153,s163,s1260,s1259,s6,s46,s1238,s1254,s1230,s13,s1258,s26,s1216,s1223,s1214,s1255,s1207]) ).

cnf(s1262,plain,
    ( ~ spl0_5
    | ~ spl0_20
    | spl0_19
    | ~ spl0_18 ),
    inference(rat,[],[s921,s66,s117,s59,s1240,s1207]) ).

cnf(s1263,plain,
    ( ~ spl0_39
    | ~ spl0_15 ),
    inference(rat,[],[s668,s81,s128,s129]) ).

cnf(s1264,plain,
    ( ~ spl0_40
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(rat,[],[s223,s103,s104,s196,s1213,s681]) ).

cnf(s1266,plain,
    ( ~ spl0_17
    | ~ spl0_13
    | ~ spl0_11
    | ~ spl0_23
    | spl0_39 ),
    inference(rat,[],[s738,s694,s119,s162,s1227]) ).

cnf(s1267,plain,
    ( ~ spl0_62
    | ~ spl0_13
    | ~ spl0_11
    | ~ spl0_23 ),
    inference(rat,[],[s1056,s694,s118,s119]) ).

cnf(s1268,plain,
    ( ~ spl0_53
    | ~ spl0_11
    | ~ spl0_10
    | spl0_6
    | spl0_39
    | spl0_1 ),
    inference(rat,[],[s325,s746,s132,s133,s162,s1267,s2,s1262,s9,s851,s860,s5,s236,s100,s101,s102,s1255,s1261,s8,s26,s1216,s1207]) ).

cnf(s1269,plain,
    ( ~ spl0_10
    | spl0_6
    | ~ spl0_15
    | spl0_1 ),
    inference(rat,[],[s626,s152,s153,s163,s1268,s1218,s25,s1264,s26,s1216,s1255,s1263,s1207]) ).

cnf(s1271,plain,
    ( ~ spl0_62
    | ~ spl0_13
    | ~ spl0_11 ),
    inference(rat,[],[s609,s1056,s67,s118,s119]) ).

cnf(s1272,plain,
    ( ~ spl0_53
    | ~ spl0_11
    | spl0_39
    | spl0_1 ),
    inference(rat,[],[s318,s7,s1227,s83,s132,s133,s1202,s162,s60,s1271,s860,s5,s236,s100,s101,s102,s1255,s1261,s1207]) ).

cnf(s1273,plain,
    ( spl0_6
    | ~ spl0_15
    | spl0_1 ),
    inference(rat,[],[s344,s2,s151,s153,s1244,s163,s1272,s1218,s4,s1269,s8,s1255,s1263,s1207]) ).

cnf(s1274,plain,
    ( ~ spl0_41
    | ~ spl0_2 ),
    inference(rat,[],[s885,s151,s152,s153]) ).

cnf(s1275,plain,
    ( ~ spl0_15
    | spl0_1 ),
    inference(rat,[],[s163,s1272,s1218,s4,s241,s244,s84,s134,s135,s28,s526,s318,s746,s83,s132,s133,s162,s1230,s1273,s1263,s1274,s1255,s1207]) ).

cnf(s1277,plain,
    ( ~ spl0_52
    | ~ spl0_5
    | ~ spl0_20 ),
    inference(rat,[],[s921,s66,s117]) ).

cnf(s1278,plain,
    ( ~ spl0_61
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(rat,[],[s623,s114,s115]) ).

cnf(s1279,plain,
    ( spl0_19
    | spl0_61
    | spl0_1 ),
    inference(rat,[],[s1176,s1189,s66,s116,s117,s59,s9,s1255,s1261,s1207]) ).

cnf(s1280,plain,
    ( ~ spl0_53
    | ~ spl0_19
    | spl0_4 ),
    inference(rat,[],[s5,s860,s236,s851,s100,s101,s102,s1207]) ).

cnf(s1281,plain,
    ( spl0_27
    | spl0_1 ),
    inference(rat,[],[s573,s931,s154,s155,s156,s163,s1280,s1279,s1278,s13,s26,s1261,s1274,s1255,s1275,s1207]) ).

cnf(s1282,plain,
    spl0_1,
    inference(rat,[],[s7,s537,s726,s731,s87,s137,s138,s22,s1202,s827,s60,s1193,s1271,s860,s65,s114,s115,s5,s1279,s236,s1280,s100,s101,s102,s163,s1218,s4,s1216,s1281,s1275,s1274,s1261,s1255,s1207]) ).

cnf(s1283,plain,
    ( spl0_40
    | spl0_39
    | spl0_54
    | spl0_56 ),
    inference(rat,[],[s533,s66,s116,s46,s41,s1218,s1230,s25,s1232,s1282,s1207]) ).

cnf(s1284,plain,
    ( ~ spl0_15
    | ~ spl0_4 ),
    inference(rat,[],[s939,s352,s83,s132,s133,s55,s1264,s1283,s1263,s1222,s1220,s1212,s1214,s1207]) ).

cnf(s1286,plain,
    ( ~ spl0_37
    | ~ spl0_17
    | ~ spl0_6 ),
    inference(rat,[],[s542,s532,s87,s137,s138,s1282]) ).

cnf(s1287,plain,
    ( ~ spl0_6
    | ~ spl0_4 ),
    inference(rat,[],[s163,s1253,s1249,s22,s1286,s46,s60,s1254,s1230,s1214,s1284,s1207]) ).

cnf(s1289,plain,
    ~ spl0_30,
    inference(rat,[],[s233,s85,s86,s136,s1282]) ).

cnf(s1290,plain,
    ( spl0_5
    | spl0_10 ),
    inference(rat,[],[s1219,s16,s24,s1289,s1207]) ).

cnf(s1291,plain,
    ~ spl0_4,
    inference(rat,[],[s1290,s204,s23,s83,s133,s55,s1216,s13,s1287,s1284,s1214,s1289,s1207]) ).

cnf(s1292,plain,
    ( ~ spl0_53
    | ~ spl0_18
    | ~ spl0_11
    | spl0_39 ),
    inference(rat,[],[s1054,s990,s149,s150,s47,s1237,s7,s1202,s1266,s60,s16,s1271,s860,s1262,s5,s9,s236,s1280,s100,s101,s102,s1207,s1289,s1291]) ).

cnf(s1293,plain,
    ( ~ spl0_54
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(rat,[],[s666,s1054,s148,s149,s150]) ).

cnf(s1294,plain,
    ( ~ spl0_28
    | ~ spl0_19 ),
    inference(rat,[],[s852,s94,s95,s96]) ).

cnf(s1295,plain,
    ( spl0_13
    | ~ spl0_29
    | ~ spl0_14 ),
    inference(rat,[],[s1115,s88,s89,s50,s5,s1213,s1207,s1291]) ).

cnf(s1296,plain,
    ( spl0_90
    | ~ spl0_21
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_23 ),
    inference(rat,[],[s1206,s698]) ).

cnf(s1297,plain,
    ( spl0_6
    | spl0_54
    | ~ spl0_11
    | spl0_39 ),
    inference(rat,[],[s1205,s848,s77,s126,s36,s88,s1296,s60,s1271,s1295,s14,s1294,s7,s1237,s47,s9,s1197,s16,s1274,s1250,s62,s63,s111,s1244,s163,s40,s1292,s23,s1218,s1207,s1291,s1289]) ).

cnf(s1298,plain,
    ( ~ spl0_16
    | spl0_85
    | ~ spl0_136
    | ~ spl0_137
    | spl0_54 ),
    inference(rat,[],[s940,s47,s939,s1237,s1207]) ).

cnf(s1299,plain,
    ( ~ spl0_53
    | ~ spl0_14
    | ~ spl0_21 ),
    inference(rat,[],[s860,s5,s1202,s236,s100,s101,s102,s1207,s1291]) ).

cnf(s1300,plain,
    ( ~ spl0_43
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(rat,[],[s241,s244,s84,s134,s135]) ).

cnf(s1301,plain,
    ( ~ spl0_51
    | ~ spl0_18
    | ~ spl0_6 ),
    inference(rat,[],[s1110,s89,s139]) ).

cnf(s1302,plain,
    ( ~ spl0_15
    | ~ spl0_10 ),
    inference(rat,[],[s252,s77,s78,s126,s36,s1301,s28,s1300,s1274,s163,s1299,s7,s1298,s1227,s83,s132,s133,s162,s60,s1230,s1297,s1293,s1218,s25,s1264,s1263,s1207]) ).

cnf(s1303,plain,
    ( ~ spl0_17
    | ~ spl0_11
    | ~ spl0_10 ),
    inference(rat,[],[s1249,s163,s22,s1250,s1286,s60,s1230,s13,s1302,s1216,s1218,s1207]) ).

cnf(s1304,plain,
    ( spl0_5
    | spl0_58
    | ~ spl0_13
    | ~ spl0_11 ),
    inference(rat,[],[s1054,s990,s149,s150,s47,s16,s1207,s1289]) ).

cnf(s1305,plain,
    ( ~ spl0_53
    | ~ spl0_11
    | ~ spl0_10 ),
    inference(rat,[],[s607,s65,s114,s115,s59,s1277,s1304,s1237,s7,s6,s9,s1299,s1280,s60,s1230,s13,s1302,s1216,s1303,s1207,s1291]) ).

cnf(s1306,plain,
    ( ~ spl0_5
    | ~ spl0_156
    | ~ spl0_157
    | spl0_17
    | ~ spl0_11 ),
    inference(rat,[],[s607,s65,s114,s115,s59,s1277,s9,s1294,s14,s866,s1207,s1291]) ).

cnf(s1307,plain,
    ( ~ spl0_11
    | ~ spl0_10 ),
    inference(rat,[],[s306,s90,s91,s140,s17,s1306,s1251,s1274,s152,s153,s163,s1305,s1303,s1218,s13,s1302,s1216,s1207]) ).

cnf(s1310,plain,
    ( ~ spl0_52
    | ~ spl0_5 ),
    inference(rat,[],[s379,s66,s116,s117,s1282]) ).

cnf(s1311,plain,
    ( ~ spl0_60
    | ~ spl0_8
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(rat,[],[s567,s72,s73]) ).

cnf(s1312,plain,
    ( ~ spl0_17
    | ~ spl0_10 ),
    inference(rat,[],[s533,s66,s116,s160,s1311,s22,s1286,s60,s1230,s13,s1302,s1216,s1282,s1207]) ).

cnf(s1313,plain,
    ( ~ spl0_5
    | ~ spl0_10 ),
    inference(rat,[],[s537,s542,s87,s137,s138,s22,s978,s14,s1294,s9,s7,s922,s1201,s72,s73,s125,s97,s99,s160,s43,s1310,s60,s1230,s13,s1302,s1216,s1312,s1207,s1291]) ).

cnf(s1314,plain,
    ~ spl0_10,
    inference(rat,[],[s537,s542,s87,s137,s138,s22,s306,s7,s90,s91,s140,s1231,s17,s16,s1313,s1312,s25,s1307,s223,s103,s104,s161,s1300,s1230,s13,s1302,s1216,s1207,s1289]) ).

cnf(s1315,plain,
    spl0_5,
    inference(rat,[],[s1290,s1314]) ).

cnf(s1316,plain,
    ~ spl0_52,
    inference(rat,[],[s1310,s1315]) ).

cnf(s1317,plain,
    ( ~ spl0_11
    | ~ spl0_17
    | ~ spl0_15 ),
    inference(rat,[],[s1230,s162,s41,s1227,s1293,s1263,s1207,s1316]) ).

cnf(s1318,plain,
    ( ~ spl0_34
    | ~ spl0_40 ),
    inference(rat,[],[s724,s74,s75,s76]) ).

cnf(s1319,plain,
    ( spl0_6
    | ~ spl0_20 ),
    inference(rat,[],[s62,s40,s620,s1280,s1262,s23,s1207,s1315,s1291,s1289]) ).

cnf(s1320,plain,
    ~ spl0_20,
    inference(rat,[],[s922,s73,s125,s160,s1230,s1319,s1315,s1316]) ).

cnf(s1321,plain,
    spl0_19,
    inference(rat,[],[s9,s1291,s1207,s1320]) ).

cnf(s1322,plain,
    ~ spl0_53,
    inference(rat,[],[s1280,s1291,s1321]) ).

cnf(s1323,plain,
    ~ spl0_28,
    inference(rat,[],[s1294,s1321]) ).

cnf(s1324,plain,
    ( spl0_11
    | spl0_39 ),
    inference(rat,[],[s1318,s21,s25,s1320,s1207]) ).

cnf(s1325,plain,
    ~ spl0_15,
    inference(rat,[],[s866,s152,s153,s14,s163,s1317,s1218,s1324,s1263,s1315,s1207,s1323,s1322]) ).

cnf(s1326,plain,
    spl0_39,
    inference(rat,[],[s37,s1316,s1207,s1325]) ).

cnf(s1327,plain,
    spl0_133,
    inference(rat,[],[s129,s1326]) ).

cnf(s1329,plain,
    ~ spl0_83,
    inference(rat,[],[s81,s1326]) ).

cnf(s1331,plain,
    ( spl0_6
    | ~ spl0_17 ),
    inference(rat,[],[s698,s6,s88,s139,s1231,s52,s10,s1002,s615,s658,s62,s63,s111,s40,s23,s1207,s1325,s1326,s1289,s1282,s1315,s1321,s1322]) ).

cnf(s1332,plain,
    ~ spl0_17,
    inference(rat,[],[s1311,s22,s160,s60,s1286,s1230,s1331,s1207,s1325,s1316]) ).

cnf(s1334,plain,
    spl0_55,
    inference(rat,[],[s43,s1316,s1207,s1332]) ).

cnf(s1336,plain,
    spl0_29,
    inference(rat,[],[s14,s1323,s1207,s1332]) ).

cnf(s1338,plain,
    ~ spl0_100,
    inference(rat,[],[s98,s1334]) ).

cnf(s1339,plain,
    ~ spl0_99,
    inference(rat,[],[s97,s1334]) ).

cnf(s1344,plain,
    ~ spl0_14,
    inference(rat,[],[s1030,s1327,s1329,s1336]) ).

cnf(s1345,plain,
    spl0_13,
    inference(rat,[],[s6,s1325,s1207,s1344]) ).

cnf(s1346,plain,
    spl0_16,
    inference(rat,[],[s7,s1332,s1207,s1344]) ).

cnf(s1353,plain,
    ~ spl0_51,
    inference(rat,[],[s831,s88,s89,s139,s1345]) ).

cnf(s1355,plain,
    spl0_42,
    inference(rat,[],[s52,s1289,s1207,s1353]) ).

cnf(s1356,plain,
    ~ spl0_18,
    inference(rat,[],[s1000,s1321,s1338,s1315,s1282,s1355]) ).

cnf(s1357,plain,
    spl0_6,
    inference(rat,[],[s23,s1207,s1289,s1356]) ).

cnf(s1358,plain,
    ~ spl0_62,
    inference(rat,[],[s1230,s1357]) ).

cnf(s1359,plain,
    spl0_21,
    inference(rat,[],[s60,s1207,s1358]) ).

cnf(s1361,plain,
    ~ spl0_8,
    inference(rat,[],[s975,s1338,s1339,s1336,s1359]) ).

cnf(s1365,plain,
    spl0_37,
    inference(rat,[],[s22,s1325,s1207,s1361]) ).

cnf(s1369,plain,
    spl0_142,
    inference(rat,[],[s138,s1365]) ).

cnf(s1370,plain,
    spl0_141,
    inference(rat,[],[s137,s1365]) ).

cnf(s1371,plain,
    ~ spl0_89,
    inference(rat,[],[s87,s1365]) ).

cnf(s1375,plain,
    ~ spl0_162,
    inference(rat,[],[s542,s1369,s1357,s1371]) ).

cnf(s1376,plain,
    $false,
    inference(rat,[],[s537,s1346,s1370,s1371,s1375]) ).

fof(f4159,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1376]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN466-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.17  % Computer : n011.cluster.edu
% 0.11/0.17  % Model    : x86_64 x86_64
% 0.11/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17  % Memory   : 8046.5625MB
% 0.11/0.17  % OS       : Linux 6.8.0-71-generic
% 0.11/0.17  % CPULimit : 300
% 0.11/0.17  % WCLimit  : 300
% 0.11/0.17  % DateTime : Mon Sep 28 16:09:31 UTC 2026
% 0.11/0.17  % CPUTime  : 
% 0.11/0.17  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.20  Running first-order model finding
% 0.11/0.20  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/0.28  % (3502094)Will run a generic schedule for satisfiability detection.
% 0.44/0.28  % (3502102)dis+10_1_sil=32000:sp=arity:random_seed=923904637:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.44/0.28  % (3502099)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2716704573_2999 on theBenchmark for (2999ds/0Mi)
% 0.44/0.28  % (3502101)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2687889158:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.44/0.28  % (3502103)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=109000501:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.44/0.28  % (3502104)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=607151870:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.44/0.28  % (3502105)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3089865075:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.44/0.28  % (3502100)% WARNING: option uhcvi not known.
% 0.44/0.28  % Detected minimum model sizes of [1]
% 0.44/0.28  % Detected maximum model sizes of [32]
% 0.44/0.28  % TRYING [1]
% 0.44/0.28  % (3502100)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3794145634:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.44/0.28  % TRYING [2]
% 0.44/0.28  % TRYING [3]
% 0.44/0.28  % TRYING [4]
% 0.44/0.28  % (3502102) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3502094-3502102"...
% 0.44/0.28  % (3502105) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3502094-3502105"...
% 0.44/0.28  % (3502102)...printing done.
% 0.44/0.28  % (3502102)Refutation found. Thanks to Tanya!
% 0.44/0.28  % SZS status Unsatisfiable for theBenchmark
% 0.44/0.28  % SZS output start Proof for theBenchmark
% See solution above
% 0.44/0.29  % (3502102)------------------------------
% 0.44/0.29  % (3502102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.29  % (3502102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.29  % (3502102)CaDiCaL version: 2.1.3
% 0.44/0.29  % (3502102)Termination reason: Refutation
% 0.44/0.29  % (3502102)Time elapsed: 0.036 s
% 0.44/0.29  % (3502102)Peak memory usage: 13 MB
% 0.44/0.29  % (3502102)Instructions burned: 97 (million)
% 0.44/0.29  % (3502094)Success in time 0.069 s
% 0.44/0.29  % Vampire exiting
%------------------------------------------------------------------------------