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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN476-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n002.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 02:11:52 PM UTC 2026

% Result   : Unsatisfiable 0.19s 0.32s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( hskp23
    | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f6,negated_conjecture,
    ( ~ hskp27
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).

fof(f17,negated_conjecture,
    ( ~ hskp16
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).

fof(f20,negated_conjecture,
    ( ~ hskp13
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).

fof(f34,negated_conjecture,
    ( hskp6
    | hskp21
    | hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f41,negated_conjecture,
    ( hskp16
    | hskp13
    | hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( hskp19
    | hskp12
    | hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( ~ hskp31
    | c0_1(a1148) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp31
    | c1_1(a1148) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp31
    | c3_1(a1148) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp30
    | c1_1(a1136) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp30
    | c2_1(a1136) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp30
    | c3_1(a1136) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp29
    | c0_1(a1116) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( ~ hskp29
    | c2_1(a1116) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp29
    | c3_1(a1116) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp28
    | c0_1(a1111) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( ~ hskp28
    | c1_1(a1111) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( ~ hskp28
    | c2_1(a1111) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f56,negated_conjecture,
    ( ~ hskp24
    | c2_1(a1149) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( ~ hskp24
    | c3_1(a1149) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( ~ hskp23
    | c0_1(a1147) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f61,negated_conjecture,
    ( ~ hskp21
    | c1_1(a1131) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp19
    | c1_1(a1127) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp19
    | c3_1(a1127) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp18
    | c0_1(a1125) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( ~ hskp18
    | c2_1(a1125) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( ~ hskp17
    | c0_1(a1124) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f69,negated_conjecture,
    ( ~ hskp15
    | c1_1(a1119) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp14
    | c1_1(a1118) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp13
    | c2_1(a1115) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp12
    | c2_1(a1114) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp11
    | c0_1(a1113) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp11
    | c3_1(a1113) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp10
    | c3_1(a1110) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp9
    | c0_1(a1108) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp8
    | c3_1(a1107) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp7
    | c0_1(a1105) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp7
    | c3_1(a1105) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp6
    | c0_1(a1104) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp6
    | c1_1(a1104) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp5
    | c3_1(a1103) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ hskp4
    | c0_1(a1102) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ hskp4
    | c1_1(a1102) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ hskp3
    | c1_1(a1101) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( ~ hskp3
    | c2_1(a1101) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ hskp2
    | c0_1(a1100) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ hskp2
    | c2_1(a1100) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ hskp1
    | c1_1(a1099) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ hskp1
    | c2_1(a1099) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f94,negated_conjecture,
    ( ~ c0_1(a1180)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ c1_1(a1180)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ c2_1(a1180)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f99,negated_conjecture,
    ( ~ c0_1(a1149)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c2_1(a1147)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ c3_1(a1147)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f103,negated_conjecture,
    ( ~ c0_1(a1131)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ c3_1(a1131)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ c0_1(a1130)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c2_1(a1130)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c3_1(a1130)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c2_1(a1127)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ c1_1(a1125)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c1_1(a1124)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ c2_1(a1124)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f113,negated_conjecture,
    ( ~ c0_1(a1119)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c2_1(a1119)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c2_1(a1118)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c3_1(a1118)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c1_1(a1115)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c3_1(a1115)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ c0_1(a1114)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ c3_1(a1114)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c2_1(a1113)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c1_1(a1110)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ c2_1(a1110)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ c1_1(a1108)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ c3_1(a1108)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f127,negated_conjecture,
    ( ~ c1_1(a1107)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ c1_1(a1105)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ c2_1(a1104)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ c0_1(a1103)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ( ~ c2_1(a1103)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f133,negated_conjecture,
    ( ~ c3_1(a1101)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ( ~ c3_1(a1100)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f135,negated_conjecture,
    ( ~ c0_1(a1099)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp19
      | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp28
      | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f149,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp31
      | hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f150,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp28
      | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f154,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp18
      | hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f155,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp19
      | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f157,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp18
      | hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f158,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp9
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f159,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp30
      | hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f161,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp9
      | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f163,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f164,negated_conjecture,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f166,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f170,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f171,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f172,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f173,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f175,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f178,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c0_1(X1)
      | c2_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f184,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f186,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f187,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

fof(f188,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c3_1(X0)
      | c3_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

fof(f189,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c0_1(X1)
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

fof(f190,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X1)
      | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).

fof(f191,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c2_1(X1)
      | hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).

fof(f192,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c2_1(X1)
      | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).

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

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

fof(f196,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).

fof(f197,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).

fof(f198,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).

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

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

fof(f201,plain,
    ( hskp23
    | ~ hskp14 ),
    inference(consistent_polarity_flipping,[],[f1]) ).

fof(f206,plain,
    ( hskp27
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f6]) ).

fof(f217,plain,
    ( ~ hskp16
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f17]) ).

fof(f220,plain,
    ( ~ hskp13
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f20]) ).

fof(f234,plain,
    ( hskp6
    | ~ hskp21
    | hskp24 ),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f240,plain,
    ( hskp16
    | hskp13
    | ~ hskp27 ),
    inference(consistent_polarity_flipping,[],[f41]) ).

fof(f241,plain,
    ( ~ hskp19
    | ~ hskp12
    | hskp26 ),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f242,plain,
    ( hskp31
    | ~ c0_1(a1148) ),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f243,plain,
    ( hskp31
    | c1_1(a1148) ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f244,plain,
    ( hskp31
    | c3_1(a1148) ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f245,plain,
    ( hskp30
    | c1_1(a1136) ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f246,plain,
    ( hskp30
    | ~ c2_1(a1136) ),
    inference(consistent_polarity_flipping,[],[f47]) ).

fof(f247,plain,
    ( hskp30
    | c3_1(a1136) ),
    inference(consistent_polarity_flipping,[],[f48]) ).

fof(f248,plain,
    ( hskp29
    | ~ c0_1(a1116) ),
    inference(consistent_polarity_flipping,[],[f49]) ).

fof(f249,plain,
    ( hskp29
    | ~ c2_1(a1116) ),
    inference(consistent_polarity_flipping,[],[f50]) ).

fof(f250,plain,
    ( hskp29
    | c3_1(a1116) ),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f251,plain,
    ( hskp28
    | ~ c0_1(a1111) ),
    inference(consistent_polarity_flipping,[],[f52]) ).

fof(f252,plain,
    ( hskp28
    | c1_1(a1111) ),
    inference(consistent_polarity_flipping,[],[f53]) ).

fof(f253,plain,
    ( hskp28
    | ~ c2_1(a1111) ),
    inference(consistent_polarity_flipping,[],[f54]) ).

fof(f255,plain,
    ( ~ hskp24
    | ~ c2_1(a1149) ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f256,plain,
    ( ~ hskp23
    | ~ c0_1(a1147) ),
    inference(consistent_polarity_flipping,[],[f58]) ).

fof(f258,plain,
    ( hskp21
    | c1_1(a1131) ),
    inference(consistent_polarity_flipping,[],[f61]) ).

fof(f259,plain,
    ( hskp19
    | c1_1(a1127) ),
    inference(consistent_polarity_flipping,[],[f62]) ).

fof(f260,plain,
    ( hskp19
    | c3_1(a1127) ),
    inference(consistent_polarity_flipping,[],[f63]) ).

fof(f261,plain,
    ( hskp18
    | ~ c0_1(a1125) ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f262,plain,
    ( hskp18
    | ~ c2_1(a1125) ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f263,plain,
    ( hskp17
    | ~ c0_1(a1124) ),
    inference(consistent_polarity_flipping,[],[f66]) ).

fof(f264,plain,
    ( hskp15
    | c1_1(a1119) ),
    inference(consistent_polarity_flipping,[],[f69]) ).

fof(f265,plain,
    ( hskp14
    | c1_1(a1118) ),
    inference(consistent_polarity_flipping,[],[f70]) ).

fof(f266,plain,
    ( ~ hskp13
    | ~ c2_1(a1115) ),
    inference(consistent_polarity_flipping,[],[f71]) ).

fof(f267,plain,
    ( hskp12
    | ~ c2_1(a1114) ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f268,plain,
    ( ~ hskp11
    | ~ c0_1(a1113) ),
    inference(consistent_polarity_flipping,[],[f73]) ).

fof(f269,plain,
    ( ~ hskp9
    | ~ c0_1(a1108) ),
    inference(consistent_polarity_flipping,[],[f76]) ).

fof(f270,plain,
    ( hskp8
    | c3_1(a1107) ),
    inference(consistent_polarity_flipping,[],[f77]) ).

fof(f271,plain,
    ( ~ hskp7
    | ~ c0_1(a1105) ),
    inference(consistent_polarity_flipping,[],[f78]) ).

fof(f272,plain,
    ( ~ hskp6
    | ~ c0_1(a1104) ),
    inference(consistent_polarity_flipping,[],[f80]) ).

fof(f273,plain,
    ( ~ hskp4
    | ~ c0_1(a1102) ),
    inference(consistent_polarity_flipping,[],[f83]) ).

fof(f274,plain,
    ( hskp3
    | c1_1(a1101) ),
    inference(consistent_polarity_flipping,[],[f85]) ).

fof(f275,plain,
    ( hskp3
    | ~ c2_1(a1101) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f276,plain,
    ( hskp2
    | ~ c0_1(a1100) ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f277,plain,
    ( hskp2
    | ~ c2_1(a1100) ),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f278,plain,
    ( hskp1
    | c1_1(a1099) ),
    inference(consistent_polarity_flipping,[],[f89]) ).

fof(f279,plain,
    ( hskp1
    | ~ c2_1(a1099) ),
    inference(consistent_polarity_flipping,[],[f90]) ).

fof(f283,plain,
    ( c0_1(a1180)
    | ~ hskp26 ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f284,plain,
    ( c2_1(a1180)
    | ~ hskp26 ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f287,plain,
    ( c0_1(a1149)
    | ~ hskp24 ),
    inference(consistent_polarity_flipping,[],[f99]) ).

fof(f288,plain,
    ( c2_1(a1147)
    | ~ hskp23 ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f289,plain,
    ( c0_1(a1131)
    | hskp21 ),
    inference(consistent_polarity_flipping,[],[f103]) ).

fof(f290,plain,
    ( ~ c3_1(a1131)
    | hskp21 ),
    inference(consistent_polarity_flipping,[],[f104]) ).

fof(f291,plain,
    ( c0_1(a1130)
    | hskp20 ),
    inference(consistent_polarity_flipping,[],[f105]) ).

fof(f292,plain,
    ( c2_1(a1130)
    | hskp20 ),
    inference(consistent_polarity_flipping,[],[f106]) ).

fof(f293,plain,
    ( ~ c3_1(a1130)
    | hskp20 ),
    inference(consistent_polarity_flipping,[],[f107]) ).

fof(f294,plain,
    ( c2_1(a1127)
    | hskp19 ),
    inference(consistent_polarity_flipping,[],[f108]) ).

fof(f295,plain,
    ( ~ c1_1(a1125)
    | hskp18 ),
    inference(consistent_polarity_flipping,[],[f109]) ).

fof(f296,plain,
    ( ~ c1_1(a1124)
    | hskp17 ),
    inference(consistent_polarity_flipping,[],[f110]) ).

fof(f297,plain,
    ( c2_1(a1124)
    | hskp17 ),
    inference(consistent_polarity_flipping,[],[f111]) ).

fof(f299,plain,
    ( c0_1(a1119)
    | hskp15 ),
    inference(consistent_polarity_flipping,[],[f113]) ).

fof(f300,plain,
    ( c2_1(a1119)
    | hskp15 ),
    inference(consistent_polarity_flipping,[],[f114]) ).

fof(f301,plain,
    ( c2_1(a1118)
    | hskp14 ),
    inference(consistent_polarity_flipping,[],[f115]) ).

fof(f302,plain,
    ( ~ c3_1(a1118)
    | hskp14 ),
    inference(consistent_polarity_flipping,[],[f116]) ).

fof(f303,plain,
    ( c0_1(a1114)
    | hskp12 ),
    inference(consistent_polarity_flipping,[],[f119]) ).

fof(f304,plain,
    ( ~ c3_1(a1114)
    | hskp12 ),
    inference(consistent_polarity_flipping,[],[f120]) ).

fof(f305,plain,
    ( c2_1(a1113)
    | ~ hskp11 ),
    inference(consistent_polarity_flipping,[],[f121]) ).

fof(f306,plain,
    ( c2_1(a1110)
    | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f123]) ).

fof(f308,plain,
    ( ~ c1_1(a1107)
    | hskp8 ),
    inference(consistent_polarity_flipping,[],[f127]) ).

fof(f309,plain,
    ( c2_1(a1104)
    | ~ hskp6 ),
    inference(consistent_polarity_flipping,[],[f129]) ).

fof(f310,plain,
    ( c0_1(a1103)
    | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f311,plain,
    ( c2_1(a1103)
    | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f131]) ).

fof(f312,plain,
    ( ~ c3_1(a1101)
    | hskp3 ),
    inference(consistent_polarity_flipping,[],[f133]) ).

fof(f313,plain,
    ( ~ c3_1(a1100)
    | hskp2 ),
    inference(consistent_polarity_flipping,[],[f134]) ).

fof(f314,plain,
    ( c0_1(a1099)
    | hskp1 ),
    inference(consistent_polarity_flipping,[],[f135]) ).

fof(f319,plain,
    ! [X0] :
      ( ndr1_0
      | c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ hskp19
      | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f142]) ).

fof(f320,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ hskp28
      | ~ hskp2 ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f326,plain,
    ! [X0] :
      ( c0_1(X0)
      | ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | ~ hskp31
      | hskp24 ),
    inference(consistent_polarity_flipping,[],[f149]) ).

fof(f327,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | ~ c0_1(X0)
      | ~ hskp28
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f150]) ).

fof(f331,plain,
    ! [X0] :
      ( c0_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c1_1(X0)
      | ~ hskp18
      | ~ hskp30 ),
    inference(consistent_polarity_flipping,[],[f154]) ).

fof(f332,plain,
    ! [X0] :
      ( c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c1_1(X0)
      | ~ hskp19
      | ~ hskp14 ),
    inference(consistent_polarity_flipping,[],[f155]) ).

fof(f334,plain,
    ! [X0] :
      ( c0_1(X0)
      | ~ c1_1(X0)
      | ndr1_0
      | c3_1(X0)
      | ~ hskp18
      | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f157]) ).

fof(f335,plain,
    ! [X0] :
      ( c0_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c3_1(X0)
      | hskp9
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f158]) ).

fof(f336,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c3_1(X0)
      | ~ hskp30
      | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f159]) ).

fof(f338,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | hskp9
      | ~ hskp19 ),
    inference(consistent_polarity_flipping,[],[f161]) ).

fof(f340,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ndr1_0
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f163]) ).

fof(f341,plain,
    ! [X0,X1] :
      ( ndr1_0
      | ~ c1_1(X0)
      | c1_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f164]) ).

fof(f343,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c3_1(X0)
      | ~ c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | ~ hskp3 ),
    inference(consistent_polarity_flipping,[],[f166]) ).

fof(f346,plain,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f169]) ).

fof(f347,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ hskp29 ),
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f348,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c1_1(X0)
      | c1_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | ~ hskp30 ),
    inference(consistent_polarity_flipping,[],[f171]) ).

fof(f349,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c2_1(X1)
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f172]) ).

fof(f350,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | hskp9 ),
    inference(consistent_polarity_flipping,[],[f173]) ).

fof(f351,plain,
    ! [X0,X1] :
      ( c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ hskp3 ),
    inference(consistent_polarity_flipping,[],[f174]) ).

fof(f352,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | c2_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ hskp29 ),
    inference(consistent_polarity_flipping,[],[f175]) ).

fof(f353,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | ndr1_0
      | c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | hskp4 ),
    inference(consistent_polarity_flipping,[],[f176]) ).

fof(f355,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | hskp10 ),
    inference(consistent_polarity_flipping,[],[f178]) ).

fof(f358,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c2_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f181]) ).

fof(f359,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c2_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ hskp20 ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f360,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f183]) ).

fof(f361,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp23 ),
    inference(consistent_polarity_flipping,[],[f184]) ).

fof(f363,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | ~ c2_1(X0)
      | c1_1(X1)
      | ~ hskp20 ),
    inference(consistent_polarity_flipping,[],[f186]) ).

fof(f364,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | hskp24 ),
    inference(consistent_polarity_flipping,[],[f187]) ).

fof(f365,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c0_1(X1)
      | ~ c1_1(X1)
      | c3_1(X0)
      | c3_1(X1)
      | hskp5 ),
    inference(consistent_polarity_flipping,[],[f188]) ).

fof(f366,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | hskp7 ),
    inference(consistent_polarity_flipping,[],[f189]) ).

fof(f367,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X1)
      | ~ hskp2 ),
    inference(consistent_polarity_flipping,[],[f190]) ).

fof(f368,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ hskp28 ),
    inference(consistent_polarity_flipping,[],[f191]) ).

fof(f369,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ hskp2 ),
    inference(consistent_polarity_flipping,[],[f192]) ).

fof(f370,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | ~ c1_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X2)
      | c1_1(X2)
      | c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f193]) ).

fof(f372,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c0_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X1)
      | c3_1(X1)
      | ~ c0_1(X2)
      | c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f195]) ).

fof(f373,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | ~ c1_1(X0)
      | ndr1_0
      | c0_1(X1)
      | ~ c1_1(X2)
      | c2_1(X2)
      | ~ c2_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | ~ c0_1(X2) ),
    inference(consistent_polarity_flipping,[],[f196]) ).

fof(f374,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c0_1(X1)
      | ~ c3_1(X1)
      | c2_1(X2)
      | c1_1(X1)
      | ~ c0_1(X2)
      | c1_1(X2) ),
    inference(consistent_polarity_flipping,[],[f197]) ).

fof(f375,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c0_1(X1)
      | ~ c1_1(X2)
      | c2_1(X2)
      | c1_1(X1)
      | c3_1(X1)
      | ~ c0_1(X2) ),
    inference(consistent_polarity_flipping,[],[f198]) ).

fof(f376,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | c1_1(X2)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f199]) ).

fof(f377,plain,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X2)
      | ~ c3_1(X2)
      | c3_1(X1)
      | ~ c0_1(X2) ),
    inference(consistent_polarity_flipping,[],[f200]) ).

fof(f379,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f380,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f382,definition,
    ( spl0_2
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f383,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f385,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f389,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f390,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f391,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f377,f389,f385,f382,f379]) ).

fof(f393,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f394,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | ~ c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f396,definition,
    ( spl0_6
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f397,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f399,definition,
    ( spl0_7
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f400,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f399]) ).

fof(f401,plain,
    ( spl0_5
    | spl0_6
    | spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f376,f399,f385,f396,f393]) ).

fof(f403,definition,
    ( spl0_8
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ c0_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f404,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f406,definition,
    ( spl0_9
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f407,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f409,definition,
    ( spl0_10
  <=> ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f410,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f411,plain,
    ( spl0_8
    | spl0_9
    | spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f375,f409,f385,f406,f403]) ).

fof(f413,definition,
    ( spl0_11
  <=> ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f414,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f416,definition,
    ( spl0_12
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f417,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f418,plain,
    ( spl0_11
    | spl0_12
    | spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f374,f399,f385,f416,f413]) ).

fof(f419,plain,
    ( spl0_8
    | spl0_9
    | spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f373,f396,f385,f406,f403]) ).

fof(f421,definition,
    ( spl0_13
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f422,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c1_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f424,definition,
    ( spl0_14
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f425,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f426,plain,
    ( spl0_13
    | spl0_14
    | spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f372,f399,f385,f424,f421]) ).

fof(f428,definition,
    ( spl0_15
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f429,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f432,definition,
    ( spl0_16
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f433,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f434,plain,
    ( spl0_16
    | spl0_1
    | spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f370,f382,f385,f379,f432]) ).

fof(f436,definition,
    ( spl0_17
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f440,definition,
    ( spl0_18
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f441,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f442,plain,
    ( ~ spl0_17
    | spl0_18
    | spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f369,f399,f385,f440,f436]) ).

fof(f444,definition,
    ( spl0_19
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f448,definition,
    ( spl0_20
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f449,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f450,plain,
    ( ~ spl0_19
    | spl0_18
    | spl0_3
    | spl0_20 ),
    inference(avatar_split_clause,[],[f368,f448,f385,f440,f444]) ).

fof(f452,definition,
    ( spl0_21
  <=> ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f453,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f454,plain,
    ( ~ spl0_17
    | spl0_21
    | spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f367,f399,f385,f452,f436]) ).

fof(f456,definition,
    ( spl0_22
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f460,definition,
    ( spl0_23
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f461,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f462,plain,
    ( spl0_22
    | spl0_23
    | spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f366,f399,f385,f460,f456]) ).

fof(f464,definition,
    ( spl0_24
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f468,definition,
    ( spl0_25
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f469,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f470,plain,
    ( spl0_24
    | spl0_2
    | spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f365,f468,f385,f382,f464]) ).

fof(f472,definition,
    ( spl0_26
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f476,definition,
    ( spl0_27
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f477,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f478,plain,
    ( spl0_26
    | spl0_27
    | spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f364,f468,f385,f476,f472]) ).

fof(f480,definition,
    ( spl0_28
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f484,definition,
    ( spl0_29
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f485,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f486,plain,
    ( ~ spl0_28
    | spl0_27
    | spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f363,f484,f385,f476,f480]) ).

fof(f489,definition,
    ( spl0_30
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f492,plain,
    ( spl0_30
    | spl0_9
    | spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f361,f409,f385,f406,f489]) ).

fof(f494,definition,
    ( spl0_31
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f497,plain,
    ( ~ spl0_31
    | spl0_23
    | spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f360,f440,f385,f460,f494]) ).

fof(f499,definition,
    ( spl0_32
  <=> ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f500,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f501,plain,
    ( ~ spl0_28
    | spl0_1
    | spl0_3
    | spl0_32 ),
    inference(avatar_split_clause,[],[f359,f499,f385,f379,f480]) ).

fof(f503,definition,
    ( spl0_33
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f506,plain,
    ( ~ spl0_33
    | spl0_1
    | spl0_3
    | spl0_32 ),
    inference(avatar_split_clause,[],[f358,f499,f385,f379,f503]) ).

fof(f508,definition,
    ( spl0_34
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f513,definition,
    ( spl0_35
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f518,definition,
    ( spl0_36
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f522,definition,
    ( spl0_37
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f523,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f524,plain,
    ( spl0_36
    | spl0_37
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f355,f389,f385,f522,f518]) ).

fof(f526,definition,
    ( spl0_38
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f531,definition,
    ( spl0_39
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f534,plain,
    ( spl0_39
    | spl0_23
    | spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f353,f428,f385,f460,f531]) ).

fof(f536,definition,
    ( spl0_40
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f539,plain,
    ( ~ spl0_40
    | spl0_8
    | spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f352,f406,f385,f403,f536]) ).

fof(f541,definition,
    ( spl0_41
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f544,plain,
    ( ~ spl0_41
    | spl0_37
    | spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f351,f460,f385,f522,f541]) ).

fof(f545,plain,
    ( spl0_38
    | spl0_37
    | spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f350,f403,f385,f522,f526]) ).

fof(f547,definition,
    ( spl0_42
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f551,definition,
    ( spl0_43
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f552,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f553,plain,
    ( spl0_42
    | spl0_5
    | spl0_3
    | spl0_43 ),
    inference(avatar_split_clause,[],[f349,f551,f385,f393,f547]) ).

fof(f555,definition,
    ( spl0_44
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f559,definition,
    ( spl0_45
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f560,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f561,plain,
    ( ~ spl0_44
    | spl0_45
    | spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f348,f416,f385,f559,f555]) ).

fof(f563,definition,
    ( spl0_46
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f564,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f565,plain,
    ( ~ spl0_40
    | spl0_46
    | spl0_3
    | spl0_43 ),
    inference(avatar_split_clause,[],[f347,f551,f385,f563,f536]) ).

fof(f567,definition,
    ( spl0_47
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f570,plain,
    ( spl0_47
    | spl0_46
    | spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f346,f393,f385,f563,f567]) ).

fof(f576,plain,
    ( ~ spl0_41
    | spl0_16
    | spl0_3
    | spl0_32 ),
    inference(avatar_split_clause,[],[f343,f499,f385,f432,f541]) ).

fof(f578,plain,
    ( ~ spl0_33
    | spl0_45
    | spl0_13
    | spl0_3 ),
    inference(avatar_split_clause,[],[f341,f385,f421,f559,f503]) ).

fof(f580,definition,
    ( spl0_49
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f583,plain,
    ( ~ spl0_49
    | spl0_16
    | spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f340,f421,f385,f432,f580]) ).

fof(f592,plain,
    ( ~ spl0_35
    | spl0_38
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f338,f389,f385,f526,f513]) ).

fof(f598,definition,
    ( spl0_53
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f602,plain,
    ( ~ spl0_31
    | ~ spl0_44
    | spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f336,f468,f385,f555,f494]) ).

fof(f603,plain,
    ( spl0_47
    | spl0_38
    | spl0_3
    | spl0_32 ),
    inference(avatar_split_clause,[],[f335,f499,f385,f526,f567]) ).

fof(f604,plain,
    ( ~ spl0_33
    | ~ spl0_53
    | spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f334,f382,f385,f598,f503]) ).

fof(f606,definition,
    ( spl0_54
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f611,definition,
    ( spl0_55
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f614,plain,
    ( ~ spl0_55
    | ~ spl0_35
    | spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f332,f452,f385,f513,f611]) ).

fof(f615,plain,
    ( ~ spl0_44
    | ~ spl0_53
    | spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f331,f416,f385,f598,f555]) ).

fof(f620,definition,
    ( spl0_56
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f623,plain,
    ( ~ spl0_56
    | ~ spl0_19
    | spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f327,f403,f385,f444,f620]) ).

fof(f625,definition,
    ( spl0_57
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f628,plain,
    ( spl0_26
    | ~ spl0_57
    | spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f326,f406,f385,f625,f472]) ).

fof(f641,definition,
    ( spl0_60
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f645,plain,
    ( ~ spl0_17
    | ~ spl0_19
    | spl0_3
    | spl0_37 ),
    inference(avatar_split_clause,[],[f320,f522,f385,f444,f436]) ).

fof(f646,plain,
    ( ~ spl0_54
    | ~ spl0_35
    | spl0_45
    | spl0_3 ),
    inference(avatar_split_clause,[],[f319,f385,f559,f513,f606]) ).

fof(f649,definition,
    ( spl0_61
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f670,definition,
    ( spl0_65
  <=> c0_1(a1099) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f673,plain,
    ( spl0_49
    | spl0_65 ),
    inference(avatar_split_clause,[],[f314,f670,f580]) ).

fof(f675,definition,
    ( spl0_66
  <=> c3_1(a1100) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f677,plain,
    ( ~ c3_1(a1100)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f678,plain,
    ( spl0_17
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f313,f675,f436]) ).

fof(f680,definition,
    ( spl0_67
  <=> c3_1(a1101) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f682,plain,
    ( ~ c3_1(a1101)
    | spl0_67 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f683,plain,
    ( spl0_41
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f312,f680,f541]) ).

fof(f690,definition,
    ( spl0_69
  <=> c2_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f692,plain,
    ( c2_1(a1103)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f690]) ).

fof(f693,plain,
    ( ~ spl0_24
    | spl0_69 ),
    inference(avatar_split_clause,[],[f311,f690,f464]) ).

fof(f695,definition,
    ( spl0_70
  <=> c0_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f698,plain,
    ( ~ spl0_24
    | spl0_70 ),
    inference(avatar_split_clause,[],[f310,f695,f464]) ).

fof(f700,definition,
    ( spl0_71
  <=> c2_1(a1104) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f702,plain,
    ( c2_1(a1104)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f703,plain,
    ( ~ spl0_61
    | spl0_71 ),
    inference(avatar_split_clause,[],[f309,f700,f649]) ).

fof(f705,definition,
    ( spl0_72
  <=> c1_1(a1105) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f708,plain,
    ( ~ spl0_22
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f128,f705,f456]) ).

fof(f710,definition,
    ( spl0_73
  <=> c1_1(a1107) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f713,plain,
    ( spl0_54
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f308,f710,f606]) ).

fof(f720,definition,
    ( spl0_75
  <=> c3_1(a1108) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f722,plain,
    ( ~ c3_1(a1108)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f723,plain,
    ( ~ spl0_38
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f125,f720,f526]) ).

fof(f725,definition,
    ( spl0_76
  <=> c1_1(a1108) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f728,plain,
    ( ~ spl0_38
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f124,f725,f526]) ).

fof(f730,definition,
    ( spl0_77
  <=> c2_1(a1110) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f732,plain,
    ( c2_1(a1110)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f733,plain,
    ( ~ spl0_36
    | spl0_77 ),
    inference(avatar_split_clause,[],[f306,f730,f518]) ).

fof(f735,definition,
    ( spl0_78
  <=> c1_1(a1110) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f738,plain,
    ( ~ spl0_36
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f122,f735,f518]) ).

fof(f740,definition,
    ( spl0_79
  <=> c2_1(a1113) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f742,plain,
    ( c2_1(a1113)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f743,plain,
    ( ~ spl0_42
    | spl0_79 ),
    inference(avatar_split_clause,[],[f305,f740,f547]) ).

fof(f745,definition,
    ( spl0_80
  <=> c3_1(a1114) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f747,plain,
    ( ~ c3_1(a1114)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f748,plain,
    ( spl0_60
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f304,f745,f641]) ).

fof(f750,definition,
    ( spl0_81
  <=> c0_1(a1114) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f753,plain,
    ( spl0_60
    | spl0_81 ),
    inference(avatar_split_clause,[],[f303,f750,f641]) ).

fof(f755,definition,
    ( spl0_82
  <=> c3_1(a1115) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f757,plain,
    ( ~ c3_1(a1115)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f755]) ).

fof(f758,plain,
    ( ~ spl0_47
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f118,f755,f567]) ).

fof(f760,definition,
    ( spl0_83
  <=> c1_1(a1115) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f763,plain,
    ( ~ spl0_47
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f117,f760,f567]) ).

fof(f765,definition,
    ( spl0_84
  <=> c3_1(a1118) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f767,plain,
    ( ~ c3_1(a1118)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f765]) ).

fof(f768,plain,
    ( spl0_55
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f302,f765,f611]) ).

fof(f770,definition,
    ( spl0_85
  <=> c2_1(a1118) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f772,plain,
    ( c2_1(a1118)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f773,plain,
    ( spl0_55
    | spl0_85 ),
    inference(avatar_split_clause,[],[f301,f770,f611]) ).

fof(f775,definition,
    ( spl0_86
  <=> c2_1(a1119) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f777,plain,
    ( c2_1(a1119)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f778,plain,
    ( spl0_33
    | spl0_86 ),
    inference(avatar_split_clause,[],[f300,f775,f503]) ).

fof(f780,definition,
    ( spl0_87
  <=> c0_1(a1119) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f783,plain,
    ( spl0_33
    | spl0_87 ),
    inference(avatar_split_clause,[],[f299,f780,f503]) ).

fof(f790,definition,
    ( spl0_89
  <=> c2_1(a1124) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f792,plain,
    ( c2_1(a1124)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f793,plain,
    ( spl0_56
    | spl0_89 ),
    inference(avatar_split_clause,[],[f297,f790,f620]) ).

fof(f795,definition,
    ( spl0_90
  <=> c1_1(a1124) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f798,plain,
    ( spl0_56
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f296,f795,f620]) ).

fof(f800,definition,
    ( spl0_91
  <=> c1_1(a1125) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f803,plain,
    ( spl0_53
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f295,f800,f598]) ).

fof(f805,definition,
    ( spl0_92
  <=> c2_1(a1127) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f807,plain,
    ( c2_1(a1127)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f808,plain,
    ( spl0_35
    | spl0_92 ),
    inference(avatar_split_clause,[],[f294,f805,f513]) ).

fof(f810,definition,
    ( spl0_93
  <=> c3_1(a1130) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f812,plain,
    ( ~ c3_1(a1130)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f813,plain,
    ( spl0_28
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f293,f810,f480]) ).

fof(f815,definition,
    ( spl0_94
  <=> c2_1(a1130) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f817,plain,
    ( c2_1(a1130)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f818,plain,
    ( spl0_28
    | spl0_94 ),
    inference(avatar_split_clause,[],[f292,f815,f480]) ).

fof(f820,definition,
    ( spl0_95
  <=> c0_1(a1130) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f823,plain,
    ( spl0_28
    | spl0_95 ),
    inference(avatar_split_clause,[],[f291,f820,f480]) ).

fof(f825,definition,
    ( spl0_96
  <=> c3_1(a1131) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f827,plain,
    ( ~ c3_1(a1131)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f825]) ).

fof(f828,plain,
    ( spl0_31
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f290,f825,f494]) ).

fof(f830,definition,
    ( spl0_97
  <=> c0_1(a1131) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f833,plain,
    ( spl0_31
    | spl0_97 ),
    inference(avatar_split_clause,[],[f289,f830,f494]) ).

fof(f840,definition,
    ( spl0_99
  <=> c3_1(a1147) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f842,plain,
    ( ~ c3_1(a1147)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f843,plain,
    ( ~ spl0_30
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f101,f840,f489]) ).

fof(f845,definition,
    ( spl0_100
  <=> c2_1(a1147) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f847,plain,
    ( c2_1(a1147)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f848,plain,
    ( ~ spl0_30
    | spl0_100 ),
    inference(avatar_split_clause,[],[f288,f845,f489]) ).

fof(f850,definition,
    ( spl0_101
  <=> c0_1(a1149) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f853,plain,
    ( ~ spl0_26
    | spl0_101 ),
    inference(avatar_split_clause,[],[f287,f850,f472]) ).

fof(f865,definition,
    ( spl0_104
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f869,definition,
    ( spl0_105
  <=> c2_1(a1180) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f871,plain,
    ( c2_1(a1180)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f872,plain,
    ( ~ spl0_104
    | spl0_105 ),
    inference(avatar_split_clause,[],[f284,f869,f865]) ).

fof(f874,definition,
    ( spl0_106
  <=> c1_1(a1180) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f877,plain,
    ( ~ spl0_104
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f95,f874,f865]) ).

fof(f879,definition,
    ( spl0_107
  <=> c0_1(a1180) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f882,plain,
    ( ~ spl0_104
    | spl0_107 ),
    inference(avatar_split_clause,[],[f283,f879,f865]) ).

fof(f884,definition,
    ( spl0_108
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f903,definition,
    ( spl0_112
  <=> c2_1(a1099) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f905,plain,
    ( ~ c2_1(a1099)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f906,plain,
    ( ~ spl0_112
    | spl0_49 ),
    inference(avatar_split_clause,[],[f279,f580,f903]) ).

fof(f908,definition,
    ( spl0_113
  <=> c1_1(a1099) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f911,plain,
    ( spl0_113
    | spl0_49 ),
    inference(avatar_split_clause,[],[f278,f580,f908]) ).

fof(f913,definition,
    ( spl0_114
  <=> c2_1(a1100) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f915,plain,
    ( ~ c2_1(a1100)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f916,plain,
    ( ~ spl0_114
    | spl0_17 ),
    inference(avatar_split_clause,[],[f277,f436,f913]) ).

fof(f918,definition,
    ( spl0_115
  <=> c0_1(a1100) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f921,plain,
    ( ~ spl0_115
    | spl0_17 ),
    inference(avatar_split_clause,[],[f276,f436,f918]) ).

fof(f923,definition,
    ( spl0_116
  <=> c2_1(a1101) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f925,plain,
    ( ~ c2_1(a1101)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f926,plain,
    ( ~ spl0_116
    | spl0_41 ),
    inference(avatar_split_clause,[],[f275,f541,f923]) ).

fof(f928,definition,
    ( spl0_117
  <=> c1_1(a1101) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f931,plain,
    ( spl0_117
    | spl0_41 ),
    inference(avatar_split_clause,[],[f274,f541,f928]) ).

fof(f933,definition,
    ( spl0_118
  <=> c1_1(a1102) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f935,plain,
    ( c1_1(a1102)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f933]) ).

fof(f936,plain,
    ( spl0_118
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f84,f531,f933]) ).

fof(f938,definition,
    ( spl0_119
  <=> c0_1(a1102) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f941,plain,
    ( ~ spl0_119
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f273,f531,f938]) ).

fof(f943,definition,
    ( spl0_120
  <=> c3_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f945,plain,
    ( c3_1(a1103)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f943]) ).

fof(f946,plain,
    ( spl0_120
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f82,f464,f943]) ).

fof(f948,definition,
    ( spl0_121
  <=> c1_1(a1104) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f951,plain,
    ( spl0_121
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f81,f649,f948]) ).

fof(f953,definition,
    ( spl0_122
  <=> c0_1(a1104) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f956,plain,
    ( ~ spl0_122
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f272,f649,f953]) ).

fof(f958,definition,
    ( spl0_123
  <=> c3_1(a1105) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f960,plain,
    ( c3_1(a1105)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f958]) ).

fof(f961,plain,
    ( spl0_123
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f79,f456,f958]) ).

fof(f963,definition,
    ( spl0_124
  <=> c0_1(a1105) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f966,plain,
    ( ~ spl0_124
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f271,f456,f963]) ).

fof(f968,definition,
    ( spl0_125
  <=> c3_1(a1107) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f970,plain,
    ( c3_1(a1107)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f968]) ).

fof(f971,plain,
    ( spl0_125
    | spl0_54 ),
    inference(avatar_split_clause,[],[f270,f606,f968]) ).

fof(f973,definition,
    ( spl0_126
  <=> c0_1(a1108) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f976,plain,
    ( ~ spl0_126
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f269,f526,f973]) ).

fof(f978,definition,
    ( spl0_127
  <=> c3_1(a1110) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f981,plain,
    ( spl0_127
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f75,f518,f978]) ).

fof(f983,definition,
    ( spl0_128
  <=> c3_1(a1113) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f986,plain,
    ( spl0_128
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f74,f547,f983]) ).

fof(f988,definition,
    ( spl0_129
  <=> c0_1(a1113) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f991,plain,
    ( ~ spl0_129
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f268,f547,f988]) ).

fof(f993,definition,
    ( spl0_130
  <=> c2_1(a1114) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f995,plain,
    ( ~ c2_1(a1114)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f993]) ).

fof(f996,plain,
    ( ~ spl0_130
    | spl0_60 ),
    inference(avatar_split_clause,[],[f267,f641,f993]) ).

fof(f998,definition,
    ( spl0_131
  <=> c2_1(a1115) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f1000,plain,
    ( ~ c2_1(a1115)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f998]) ).

fof(f1001,plain,
    ( ~ spl0_131
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f266,f567,f998]) ).

fof(f1003,definition,
    ( spl0_132
  <=> c1_1(a1118) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f1005,plain,
    ( c1_1(a1118)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f1003]) ).

fof(f1006,plain,
    ( spl0_132
    | spl0_55 ),
    inference(avatar_split_clause,[],[f265,f611,f1003]) ).

fof(f1008,definition,
    ( spl0_133
  <=> c1_1(a1119) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f1011,plain,
    ( spl0_133
    | spl0_33 ),
    inference(avatar_split_clause,[],[f264,f503,f1008]) ).

fof(f1023,definition,
    ( spl0_136
  <=> c0_1(a1124) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f1026,plain,
    ( ~ spl0_136
    | spl0_56 ),
    inference(avatar_split_clause,[],[f263,f620,f1023]) ).

fof(f1028,definition,
    ( spl0_137
  <=> c2_1(a1125) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f1030,plain,
    ( ~ c2_1(a1125)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f1028]) ).

fof(f1031,plain,
    ( ~ spl0_137
    | spl0_53 ),
    inference(avatar_split_clause,[],[f262,f598,f1028]) ).

fof(f1033,definition,
    ( spl0_138
  <=> c0_1(a1125) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f1036,plain,
    ( ~ spl0_138
    | spl0_53 ),
    inference(avatar_split_clause,[],[f261,f598,f1033]) ).

fof(f1038,definition,
    ( spl0_139
  <=> c3_1(a1127) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f1040,plain,
    ( c3_1(a1127)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f1038]) ).

fof(f1041,plain,
    ( spl0_139
    | spl0_35 ),
    inference(avatar_split_clause,[],[f260,f513,f1038]) ).

fof(f1043,definition,
    ( spl0_140
  <=> c1_1(a1127) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1046,plain,
    ( spl0_140
    | spl0_35 ),
    inference(avatar_split_clause,[],[f259,f513,f1043]) ).

fof(f1048,definition,
    ( spl0_141
  <=> c1_1(a1131) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f1050,plain,
    ( c1_1(a1131)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f1048]) ).

fof(f1051,plain,
    ( spl0_141
    | spl0_31 ),
    inference(avatar_split_clause,[],[f258,f494,f1048]) ).

fof(f1063,definition,
    ( spl0_144
  <=> c0_1(a1147) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1066,plain,
    ( ~ spl0_144
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f256,f489,f1063]) ).

fof(f1068,definition,
    ( spl0_145
  <=> c3_1(a1149) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1070,plain,
    ( c3_1(a1149)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f1068]) ).

fof(f1071,plain,
    ( spl0_145
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f57,f472,f1068]) ).

fof(f1073,definition,
    ( spl0_146
  <=> c2_1(a1149) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1075,plain,
    ( ~ c2_1(a1149)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f1073]) ).

fof(f1076,plain,
    ( ~ spl0_146
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f255,f472,f1073]) ).

fof(f1083,definition,
    ( spl0_148
  <=> c2_1(a1111) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1085,plain,
    ( ~ c2_1(a1111)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f1083]) ).

fof(f1086,plain,
    ( ~ spl0_148
    | spl0_19 ),
    inference(avatar_split_clause,[],[f253,f444,f1083]) ).

fof(f1088,definition,
    ( spl0_149
  <=> c1_1(a1111) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1091,plain,
    ( spl0_149
    | spl0_19 ),
    inference(avatar_split_clause,[],[f252,f444,f1088]) ).

fof(f1093,definition,
    ( spl0_150
  <=> c0_1(a1111) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1096,plain,
    ( ~ spl0_150
    | spl0_19 ),
    inference(avatar_split_clause,[],[f251,f444,f1093]) ).

fof(f1098,definition,
    ( spl0_151
  <=> c3_1(a1116) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1101,plain,
    ( spl0_151
    | spl0_40 ),
    inference(avatar_split_clause,[],[f250,f536,f1098]) ).

fof(f1103,definition,
    ( spl0_152
  <=> c2_1(a1116) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1105,plain,
    ( ~ c2_1(a1116)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f1103]) ).

fof(f1106,plain,
    ( ~ spl0_152
    | spl0_40 ),
    inference(avatar_split_clause,[],[f249,f536,f1103]) ).

fof(f1108,definition,
    ( spl0_153
  <=> c0_1(a1116) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1111,plain,
    ( ~ spl0_153
    | spl0_40 ),
    inference(avatar_split_clause,[],[f248,f536,f1108]) ).

fof(f1113,definition,
    ( spl0_154
  <=> c3_1(a1136) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1116,plain,
    ( spl0_154
    | spl0_44 ),
    inference(avatar_split_clause,[],[f247,f555,f1113]) ).

fof(f1118,definition,
    ( spl0_155
  <=> c2_1(a1136) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1120,plain,
    ( ~ c2_1(a1136)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f1118]) ).

fof(f1121,plain,
    ( ~ spl0_155
    | spl0_44 ),
    inference(avatar_split_clause,[],[f246,f555,f1118]) ).

fof(f1123,definition,
    ( spl0_156
  <=> c1_1(a1136) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1126,plain,
    ( spl0_156
    | spl0_44 ),
    inference(avatar_split_clause,[],[f245,f555,f1123]) ).

fof(f1128,definition,
    ( spl0_157
  <=> c3_1(a1148) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1130,plain,
    ( c3_1(a1148)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1128]) ).

fof(f1131,plain,
    ( spl0_157
    | spl0_57 ),
    inference(avatar_split_clause,[],[f244,f625,f1128]) ).

fof(f1133,definition,
    ( spl0_158
  <=> c1_1(a1148) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1135,plain,
    ( c1_1(a1148)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1133]) ).

fof(f1136,plain,
    ( spl0_158
    | spl0_57 ),
    inference(avatar_split_clause,[],[f243,f625,f1133]) ).

fof(f1138,definition,
    ( spl0_159
  <=> c0_1(a1148) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1141,plain,
    ( ~ spl0_159
    | spl0_57 ),
    inference(avatar_split_clause,[],[f242,f625,f1138]) ).

fof(f1142,plain,
    ( spl0_104
    | ~ spl0_60
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f241,f513,f641,f865]) ).

fof(f1143,plain,
    ( ~ spl0_108
    | spl0_47
    | spl0_34 ),
    inference(avatar_split_clause,[],[f240,f508,f567,f884]) ).

fof(f1150,plain,
    ( spl0_26
    | ~ spl0_31
    | spl0_61 ),
    inference(avatar_split_clause,[],[f234,f649,f494,f472]) ).

fof(f1164,plain,
    ( ~ spl0_3
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f220,f567,f385]) ).

fof(f1167,plain,
    ( ~ spl0_3
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f217,f508,f385]) ).

fof(f1178,plain,
    ( ~ spl0_3
    | spl0_108 ),
    inference(avatar_split_clause,[],[f206,f884,f385]) ).

fof(f1183,plain,
    ( ~ spl0_55
    | spl0_30 ),
    inference(avatar_split_clause,[],[f201,f489,f611]) ).

fof(f1188,plain,
    ( c0_1(a1147)
    | ~ c1_1(a1147)
    | ~ spl0_2
    | spl0_99 ),
    inference(resolution,[],[f383,f842]) ).

fof(f1193,plain,
    ( c0_1(a1118)
    | ~ c1_1(a1118)
    | ~ spl0_2
    | spl0_84 ),
    inference(resolution,[],[f383,f767]) ).

fof(f1204,plain,
    ( c0_1(a1100)
    | ~ c1_1(a1100)
    | ~ spl0_2
    | spl0_66 ),
    inference(resolution,[],[f383,f677]) ).

fof(f1209,definition,
    ( spl0_160
  <=> c1_1(a1130) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1210,plain,
    ( c1_1(a1130)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1209]) ).

fof(f1214,definition,
    ( spl0_161
  <=> c1_1(a1100) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1217,plain,
    ( ~ spl0_161
    | spl0_115
    | ~ spl0_2
    | spl0_66 ),
    inference(avatar_split_clause,[],[f1204,f675,f382,f918,f1214]) ).

fof(f1219,definition,
    ( spl0_162
  <=> c1_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1229,definition,
    ( spl0_164
  <=> c1_1(a1114) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1234,definition,
    ( spl0_165
  <=> c1_1(a1147) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1235,plain,
    ( c1_1(a1147)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1234]) ).

fof(f1239,definition,
    ( spl0_166
  <=> c1_1(a1149) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1248,plain,
    ( ~ c3_1(a1136)
    | ~ c1_1(a1136)
    | ~ spl0_4
    | spl0_155 ),
    inference(resolution,[],[f390,f1120]) ).

fof(f1269,plain,
    ( ~ c3_1(a1124)
    | c1_1(a1124)
    | ~ spl0_5
    | ~ spl0_89 ),
    inference(resolution,[],[f394,f792]) ).

fof(f1271,plain,
    ( ~ c3_1(a1180)
    | c1_1(a1180)
    | ~ spl0_5
    | ~ spl0_105 ),
    inference(resolution,[],[f394,f871]) ).

fof(f1275,definition,
    ( spl0_168
  <=> c3_1(a1180) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1277,plain,
    ( ~ c3_1(a1180)
    | spl0_168 ),
    inference(avatar_component_clause,[],[f1275]) ).

fof(f1278,plain,
    ( spl0_106
    | ~ spl0_168
    | ~ spl0_5
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1271,f869,f393,f1275,f874]) ).

fof(f1280,definition,
    ( spl0_169
  <=> c3_1(a1124) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1281,plain,
    ( c3_1(a1124)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1280]) ).

fof(f1282,plain,
    ( ~ c3_1(a1124)
    | spl0_169 ),
    inference(avatar_component_clause,[],[f1280]) ).

fof(f1283,plain,
    ( spl0_90
    | ~ spl0_169
    | ~ spl0_5
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1269,f790,f393,f1280,f795]) ).

fof(f1287,plain,
    ( ~ c3_1(a1136)
    | c0_1(a1136)
    | ~ spl0_7
    | spl0_155 ),
    inference(resolution,[],[f400,f1120]) ).

fof(f1289,plain,
    ( ~ c3_1(a1111)
    | c0_1(a1111)
    | ~ spl0_7
    | spl0_148 ),
    inference(resolution,[],[f400,f1085]) ).

fof(f1294,plain,
    ( ~ c3_1(a1125)
    | c0_1(a1125)
    | ~ spl0_7
    | spl0_137 ),
    inference(resolution,[],[f400,f1030]) ).

fof(f1313,definition,
    ( spl0_171
  <=> c3_1(a1119) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1314,plain,
    ( c3_1(a1119)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1313]) ).

fof(f1318,definition,
    ( spl0_172
  <=> c3_1(a1125) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1320,plain,
    ( ~ c3_1(a1125)
    | spl0_172 ),
    inference(avatar_component_clause,[],[f1318]) ).

fof(f1328,definition,
    ( spl0_174
  <=> c3_1(a1111) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1330,plain,
    ( ~ c3_1(a1111)
    | spl0_174 ),
    inference(avatar_component_clause,[],[f1328]) ).

fof(f1337,plain,
    ( c0_1(a1111)
    | ~ c1_1(a1111)
    | ~ spl0_2
    | spl0_174 ),
    inference(resolution,[],[f1330,f383]) ).

fof(f1344,plain,
    ( c0_1(a1147)
    | c1_1(a1147)
    | ~ spl0_9
    | spl0_99 ),
    inference(resolution,[],[f407,f842]) ).

fof(f1348,plain,
    ( c0_1(a1125)
    | c1_1(a1125)
    | ~ spl0_9
    | spl0_172 ),
    inference(resolution,[],[f407,f1320]) ).

fof(f1349,plain,
    ( c0_1(a1124)
    | c1_1(a1124)
    | ~ spl0_9
    | spl0_169 ),
    inference(resolution,[],[f407,f1282]) ).

fof(f1357,plain,
    ( c0_1(a1108)
    | c1_1(a1108)
    | ~ spl0_9
    | spl0_75 ),
    inference(resolution,[],[f407,f722]) ).

fof(f1363,plain,
    ( c0_1(a1100)
    | c1_1(a1100)
    | ~ spl0_9
    | spl0_66 ),
    inference(resolution,[],[f407,f677]) ).

fof(f1379,definition,
    ( spl0_176
  <=> c0_1(a1101) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1396,definition,
    ( spl0_178
  <=> c0_1(a1115) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1401,definition,
    ( spl0_179
  <=> c0_1(a1118) ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

fof(f1408,plain,
    ( spl0_91
    | spl0_138
    | ~ spl0_9
    | spl0_172 ),
    inference(avatar_split_clause,[],[f1348,f1318,f406,f1033,f800]) ).

fof(f1410,definition,
    ( spl0_180
  <=> c0_1(a1127) ),
    introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).

fof(f1426,definition,
    ( spl0_182
  <=> c0_1(a1136) ),
    introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).

fof(f1432,plain,
    ( ~ c0_1(a1149)
    | ~ c1_1(a1149)
    | ~ spl0_1
    | ~ spl0_145 ),
    inference(resolution,[],[f380,f1070]) ).

fof(f1439,plain,
    ( ~ c0_1(a1149)
    | ~ c1_1(a1149)
    | ~ spl0_8
    | spl0_146 ),
    inference(resolution,[],[f404,f1075]) ).

fof(f1450,plain,
    ( ~ c0_1(a1101)
    | ~ c1_1(a1101)
    | ~ spl0_8
    | spl0_116 ),
    inference(resolution,[],[f404,f925]) ).

fof(f1452,plain,
    ( ~ c0_1(a1099)
    | ~ c1_1(a1099)
    | ~ spl0_8
    | spl0_112 ),
    inference(resolution,[],[f404,f905]) ).

fof(f1458,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(resolution,[],[f422,f380]) ).

fof(f1466,plain,
    ( ~ c1_1(a1131)
    | ~ c0_1(a1131)
    | ~ spl0_13
    | spl0_96 ),
    inference(resolution,[],[f422,f827]) ).

fof(f1489,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f1458]) ).

fof(f1495,plain,
    ( c0_1(a1124)
    | c1_1(a1124)
    | ~ spl0_15
    | ~ spl0_89 ),
    inference(resolution,[],[f429,f792]) ).

fof(f1503,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(resolution,[],[f441,f404]) ).

fof(f1504,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(resolution,[],[f441,f400]) ).

fof(f1505,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(resolution,[],[f441,f390]) ).

fof(f1511,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f1505]) ).

fof(f1512,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f1504]) ).

fof(f1513,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f1503]) ).

fof(f1525,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_2
    | ~ spl0_20 ),
    inference(resolution,[],[f449,f383]) ).

fof(f1528,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_20 ),
    inference(duplicate_literal_removal,[],[f1525]) ).

fof(f1532,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_5
    | ~ spl0_21 ),
    inference(resolution,[],[f453,f394]) ).

fof(f1537,plain,
    ( c1_1(a1149)
    | ~ c3_1(a1149)
    | ~ spl0_21
    | spl0_146 ),
    inference(resolution,[],[f453,f1075]) ).

fof(f1540,plain,
    ( c1_1(a1125)
    | ~ c3_1(a1125)
    | ~ spl0_21
    | spl0_137 ),
    inference(resolution,[],[f453,f1030]) ).

fof(f1552,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_5
    | ~ spl0_21 ),
    inference(duplicate_literal_removal,[],[f1532]) ).

fof(f1558,plain,
    ( ~ c0_1(a1118)
    | ~ spl0_1
    | ~ spl0_13
    | ~ spl0_132 ),
    inference(resolution,[],[f1005,f1489]) ).

fof(f1580,plain,
    ( ~ c0_1(a1131)
    | ~ spl0_1
    | ~ spl0_13
    | ~ spl0_141 ),
    inference(resolution,[],[f1050,f1489]) ).

fof(f1581,plain,
    ( ~ spl0_97
    | ~ spl0_1
    | ~ spl0_13
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1580,f1048,f421,f379,f830]) ).

fof(f1589,plain,
    ( c0_1(a1148)
    | ~ c1_1(a1148)
    | ~ spl0_20
    | ~ spl0_157 ),
    inference(resolution,[],[f1130,f449]) ).

fof(f1592,plain,
    ( ~ c1_1(a1148)
    | ~ spl0_4
    | ~ spl0_18
    | ~ spl0_157 ),
    inference(resolution,[],[f1511,f1130]) ).

fof(f1596,plain,
    ( ~ spl0_158
    | ~ spl0_4
    | ~ spl0_18
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1592,f1128,f440,f389,f1133]) ).

fof(f1597,plain,
    ( ~ c0_1(a1127)
    | ~ c1_1(a1127)
    | ~ spl0_1
    | ~ spl0_139 ),
    inference(resolution,[],[f1040,f380]) ).

fof(f1604,plain,
    ( c0_1(a1118)
    | ~ c1_1(a1118)
    | ~ spl0_6
    | ~ spl0_85 ),
    inference(resolution,[],[f397,f772]) ).

fof(f1605,plain,
    ( c0_1(a1104)
    | ~ c1_1(a1104)
    | ~ spl0_6
    | ~ spl0_71 ),
    inference(resolution,[],[f397,f702]) ).

fof(f1613,plain,
    ( spl0_20
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f1512,f440,f399,f448]) ).

fof(f1616,plain,
    ( ~ spl0_121
    | spl0_122
    | ~ spl0_6
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1605,f700,f396,f953,f948]) ).

fof(f1618,plain,
    ( ~ spl0_166
    | ~ spl0_101
    | ~ spl0_1
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1432,f1068,f379,f850,f1239]) ).

fof(f1626,plain,
    ( c1_1(a1107)
    | ~ spl0_5
    | ~ spl0_21
    | ~ spl0_125 ),
    inference(resolution,[],[f1552,f970]) ).

fof(f1627,plain,
    ( spl0_73
    | ~ spl0_5
    | ~ spl0_21
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1626,f968,f452,f393,f710]) ).

fof(f1631,plain,
    ( ~ c3_1(a1111)
    | ~ c1_1(a1111)
    | ~ spl0_4
    | spl0_148 ),
    inference(resolution,[],[f390,f1085]) ).

fof(f1646,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(resolution,[],[f397,f390]) ).

fof(f1657,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(duplicate_literal_removal,[],[f1646]) ).

fof(f1658,plain,
    ( spl0_20
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f1657,f396,f389,f448]) ).

fof(f1662,plain,
    ( spl0_165
    | spl0_144
    | ~ spl0_9
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1344,f840,f406,f1063,f1234]) ).

fof(f1663,plain,
    ( spl0_90
    | spl0_136
    | ~ spl0_9
    | spl0_169 ),
    inference(avatar_split_clause,[],[f1349,f1280,f406,f1023,f795]) ).

fof(f1670,plain,
    ( spl0_161
    | spl0_115
    | ~ spl0_9
    | spl0_66 ),
    inference(avatar_split_clause,[],[f1363,f675,f406,f918,f1214]) ).

fof(f1676,plain,
    ( spl0_90
    | spl0_136
    | ~ spl0_15
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1495,f790,f428,f1023,f795]) ).

fof(f1677,plain,
    ( ~ spl0_158
    | spl0_159
    | ~ spl0_20
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1589,f1128,f448,f1138,f1133]) ).

fof(f1686,plain,
    ( ~ spl0_132
    | spl0_179
    | ~ spl0_6
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1604,f770,f396,f1401,f1003]) ).

fof(f1737,plain,
    ( c1_1(a1124)
    | c0_1(a1124)
    | ~ spl0_12
    | ~ spl0_169 ),
    inference(resolution,[],[f417,f1281]) ).

fof(f1741,plain,
    ( c1_1(a1105)
    | c0_1(a1105)
    | ~ spl0_12
    | ~ spl0_123 ),
    inference(resolution,[],[f417,f960]) ).

fof(f1750,plain,
    ( spl0_136
    | spl0_90
    | ~ spl0_12
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1737,f1280,f416,f795,f1023]) ).

fof(f1762,plain,
    ( ~ spl0_149
    | spl0_150
    | ~ spl0_2
    | spl0_174 ),
    inference(avatar_split_clause,[],[f1337,f1328,f382,f1093,f1088]) ).

fof(f1764,plain,
    ( spl0_76
    | spl0_126
    | ~ spl0_9
    | spl0_75 ),
    inference(avatar_split_clause,[],[f1357,f720,f406,f973,f725]) ).

fof(f1765,plain,
    ( spl0_182
    | ~ spl0_154
    | ~ spl0_7
    | spl0_155 ),
    inference(avatar_split_clause,[],[f1287,f1118,f399,f1113,f1426]) ).

fof(f1784,plain,
    ( c0_1(a1147)
    | ~ spl0_2
    | ~ spl0_20
    | ~ spl0_165 ),
    inference(resolution,[],[f1528,f1235]) ).

fof(f1789,plain,
    ( c0_1(a1118)
    | ~ spl0_2
    | ~ spl0_20
    | ~ spl0_132 ),
    inference(resolution,[],[f1528,f1005]) ).

fof(f1799,plain,
    ( spl0_144
    | ~ spl0_2
    | ~ spl0_20
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1784,f1234,f448,f382,f1063]) ).

fof(f1842,plain,
    ( ~ c0_1(a1115)
    | c1_1(a1115)
    | ~ spl0_16
    | spl0_82 ),
    inference(resolution,[],[f433,f757]) ).

fof(f1849,plain,
    ( ~ c0_1(a1180)
    | c1_1(a1180)
    | ~ spl0_16
    | spl0_168 ),
    inference(resolution,[],[f433,f1277]) ).

fof(f1850,plain,
    ( ~ c0_1(a1130)
    | c1_1(a1130)
    | ~ spl0_16
    | spl0_93 ),
    inference(resolution,[],[f433,f812]) ).

fof(f1854,plain,
    ( spl0_106
    | ~ spl0_107
    | ~ spl0_16
    | spl0_168 ),
    inference(avatar_split_clause,[],[f1849,f1275,f432,f879,f874]) ).

fof(f1859,plain,
    ( spl0_83
    | ~ spl0_178
    | ~ spl0_16
    | spl0_82 ),
    inference(avatar_split_clause,[],[f1842,f755,f432,f1396,f760]) ).

fof(f1869,plain,
    ( spl0_1
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f1513,f440,f403,f379]) ).

fof(f1872,plain,
    ( ~ spl0_166
    | ~ spl0_101
    | ~ spl0_8
    | spl0_146 ),
    inference(avatar_split_clause,[],[f1439,f1073,f403,f850,f1239]) ).

fof(f1874,plain,
    ( ~ spl0_140
    | ~ spl0_180
    | ~ spl0_1
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1597,f1038,f379,f1410,f1043]) ).

fof(f1875,plain,
    ( ~ spl0_113
    | ~ spl0_65
    | ~ spl0_8
    | spl0_112 ),
    inference(avatar_split_clause,[],[f1452,f903,f403,f670,f908]) ).

fof(f1888,plain,
    ( c0_1(a1101)
    | ~ c1_1(a1101)
    | ~ spl0_2
    | spl0_67 ),
    inference(resolution,[],[f383,f682]) ).

fof(f2015,plain,
    ( ~ c0_1(a1119)
    | ~ c1_1(a1119)
    | ~ spl0_1
    | ~ spl0_171 ),
    inference(resolution,[],[f380,f1314]) ).

fof(f2021,plain,
    ( ~ c0_1(a1103)
    | ~ c1_1(a1103)
    | ~ spl0_1
    | ~ spl0_120 ),
    inference(resolution,[],[f380,f945]) ).

fof(f2022,plain,
    ( ~ spl0_162
    | ~ spl0_70
    | ~ spl0_1
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f2021,f943,f379,f695,f1219]) ).

fof(f2025,plain,
    ( ~ spl0_133
    | ~ spl0_87
    | ~ spl0_1
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f2015,f1313,f379,f780,f1008]) ).

fof(f2063,plain,
    ( ~ spl0_149
    | ~ spl0_174
    | ~ spl0_4
    | spl0_148 ),
    inference(avatar_split_clause,[],[f1631,f1083,f389,f1328,f1088]) ).

fof(f2118,plain,
    ( ~ c0_1(a1149)
    | ~ c3_1(a1149)
    | ~ spl0_23
    | spl0_146 ),
    inference(resolution,[],[f461,f1075]) ).

fof(f2125,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_6
    | ~ spl0_25 ),
    inference(resolution,[],[f469,f397]) ).

fof(f2127,plain,
    ( c3_1(a1111)
    | ~ c1_1(a1111)
    | ~ spl0_25
    | spl0_148 ),
    inference(resolution,[],[f469,f1085]) ).

fof(f2134,plain,
    ( c3_1(a1100)
    | ~ c1_1(a1100)
    | ~ spl0_25
    | spl0_114 ),
    inference(resolution,[],[f469,f915]) ).

fof(f2137,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_6
    | ~ spl0_25 ),
    inference(duplicate_literal_removal,[],[f2125]) ).

fof(f2145,plain,
    ( spl0_2
    | ~ spl0_6
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f2137,f468,f396,f382]) ).

fof(f2147,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_14
    | ~ spl0_27 ),
    inference(resolution,[],[f477,f425]) ).

fof(f2154,plain,
    ( c1_1(a1125)
    | c0_1(a1125)
    | ~ spl0_27
    | spl0_137 ),
    inference(resolution,[],[f477,f1030]) ).

fof(f2155,plain,
    ( c1_1(a1100)
    | c0_1(a1100)
    | ~ spl0_27
    | spl0_114 ),
    inference(resolution,[],[f477,f915]) ).

fof(f2157,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_14
    | ~ spl0_27 ),
    inference(duplicate_literal_removal,[],[f2147]) ).

fof(f2159,plain,
    ( spl0_138
    | spl0_91
    | ~ spl0_27
    | spl0_137 ),
    inference(avatar_split_clause,[],[f2154,f1028,f476,f800,f1033]) ).

fof(f2181,plain,
    ( c1_1(a1115)
    | c0_1(a1115)
    | ~ spl0_27
    | spl0_131 ),
    inference(resolution,[],[f1000,f477]) ).

fof(f2220,plain,
    ( ~ c3_1(a1110)
    | c1_1(a1110)
    | ~ spl0_5
    | ~ spl0_77 ),
    inference(resolution,[],[f394,f732]) ).

fof(f2222,plain,
    ( ~ c3_1(a1103)
    | c1_1(a1103)
    | ~ spl0_5
    | ~ spl0_69 ),
    inference(resolution,[],[f394,f692]) ).

fof(f2230,plain,
    ( spl0_162
    | ~ spl0_120
    | ~ spl0_5
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2222,f690,f393,f943,f1219]) ).

fof(f2251,plain,
    ( c0_1(a1113)
    | ~ c3_1(a1113)
    | ~ spl0_29
    | ~ spl0_79 ),
    inference(resolution,[],[f485,f742]) ).

fof(f2265,plain,
    ( c3_1(a1111)
    | c0_1(a1111)
    | ~ spl0_32
    | spl0_148 ),
    inference(resolution,[],[f500,f1085]) ).

fof(f2270,plain,
    ( c3_1(a1125)
    | c0_1(a1125)
    | ~ spl0_32
    | spl0_137 ),
    inference(resolution,[],[f500,f1030]) ).

fof(f2273,plain,
    ( c3_1(a1100)
    | c0_1(a1100)
    | ~ spl0_32
    | spl0_114 ),
    inference(resolution,[],[f500,f915]) ).

fof(f2278,plain,
    ( spl0_115
    | spl0_66
    | ~ spl0_32
    | spl0_114 ),
    inference(avatar_split_clause,[],[f2273,f913,f499,f675,f918]) ).

fof(f2280,plain,
    ( spl0_138
    | spl0_172
    | ~ spl0_32
    | spl0_137 ),
    inference(avatar_split_clause,[],[f2270,f1028,f499,f1318,f1033]) ).

fof(f2282,plain,
    ( spl0_150
    | spl0_174
    | ~ spl0_32
    | spl0_148 ),
    inference(avatar_split_clause,[],[f2265,f1083,f499,f1328,f1093]) ).

fof(f2292,plain,
    ( ~ c1_1(a1119)
    | ~ c0_1(a1119)
    | ~ spl0_37
    | ~ spl0_86 ),
    inference(resolution,[],[f523,f777]) ).

fof(f2293,plain,
    ( ~ c1_1(a1118)
    | ~ c0_1(a1118)
    | ~ spl0_37
    | ~ spl0_85 ),
    inference(resolution,[],[f523,f772]) ).

fof(f2300,plain,
    ( ~ c1_1(a1130)
    | ~ c0_1(a1130)
    | ~ spl0_37
    | ~ spl0_94 ),
    inference(resolution,[],[f523,f817]) ).

fof(f2306,plain,
    ( ~ spl0_179
    | ~ spl0_132
    | ~ spl0_37
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f2293,f770,f522,f1003,f1401]) ).

fof(f2307,plain,
    ( ~ spl0_87
    | ~ spl0_133
    | ~ spl0_37
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f2292,f775,f522,f1008,f780]) ).

fof(f2310,plain,
    ( spl0_78
    | ~ spl0_127
    | ~ spl0_5
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f2220,f730,f393,f978,f735]) ).

fof(f2311,plain,
    ( ~ spl0_117
    | ~ spl0_176
    | ~ spl0_8
    | spl0_116 ),
    inference(avatar_split_clause,[],[f1450,f923,f403,f1379,f928]) ).

fof(f2317,plain,
    ( ~ spl0_179
    | ~ spl0_1
    | ~ spl0_13
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1558,f1003,f421,f379,f1401]) ).

fof(f2320,plain,
    ( ~ spl0_97
    | ~ spl0_141
    | ~ spl0_13
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1466,f825,f421,f1048,f830]) ).

fof(f2328,plain,
    ( ~ spl0_149
    | spl0_174
    | ~ spl0_25
    | spl0_148 ),
    inference(avatar_split_clause,[],[f2127,f1083,f468,f1328,f1088]) ).

fof(f2330,plain,
    ( ~ spl0_161
    | spl0_66
    | ~ spl0_25
    | spl0_114 ),
    inference(avatar_split_clause,[],[f2134,f913,f468,f675,f1214]) ).

fof(f2335,plain,
    ( ~ spl0_128
    | spl0_129
    | ~ spl0_29
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f2251,f740,f484,f988,f983]) ).

fof(f2342,plain,
    ( c0_1(a1127)
    | ~ c3_1(a1127)
    | ~ spl0_29
    | ~ spl0_92 ),
    inference(resolution,[],[f807,f485]) ).

fof(f2385,plain,
    ( ~ c0_1(a1136)
    | ~ c1_1(a1136)
    | ~ spl0_8
    | spl0_155 ),
    inference(resolution,[],[f404,f1120]) ).

fof(f2399,plain,
    ( c1_1(a1149)
    | ~ c0_1(a1149)
    | ~ spl0_11
    | spl0_146 ),
    inference(resolution,[],[f414,f1075]) ).

fof(f2441,plain,
    ( c3_1(a1101)
    | ~ c1_1(a1101)
    | ~ spl0_25
    | spl0_116 ),
    inference(resolution,[],[f469,f925]) ).

fof(f2443,plain,
    ( ~ spl0_117
    | spl0_67
    | ~ spl0_25
    | spl0_116 ),
    inference(avatar_split_clause,[],[f2441,f923,f468,f680,f928]) ).

fof(f2446,plain,
    ( spl0_160
    | ~ spl0_95
    | ~ spl0_16
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1850,f810,f432,f820,f1209]) ).

fof(f2465,plain,
    ( ~ c0_1(a1130)
    | ~ spl0_1
    | ~ spl0_13
    | ~ spl0_160 ),
    inference(resolution,[],[f1210,f1489]) ).

fof(f2466,plain,
    ( ~ spl0_95
    | ~ spl0_1
    | ~ spl0_13
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f2465,f1209,f421,f379,f820]) ).

fof(f2469,plain,
    ( spl0_150
    | ~ spl0_174
    | ~ spl0_7
    | spl0_148 ),
    inference(avatar_split_clause,[],[f1289,f1083,f399,f1328,f1093]) ).

fof(f2474,plain,
    ( spl0_138
    | ~ spl0_172
    | ~ spl0_7
    | spl0_137 ),
    inference(avatar_split_clause,[],[f1294,f1028,f399,f1318,f1033]) ).

fof(f2482,plain,
    ( ~ spl0_156
    | ~ spl0_154
    | ~ spl0_4
    | spl0_155 ),
    inference(avatar_split_clause,[],[f1248,f1118,f389,f1113,f1123]) ).

fof(f2484,plain,
    ( ~ spl0_139
    | spl0_180
    | ~ spl0_29
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f2342,f805,f484,f1410,f1038]) ).

fof(f2488,plain,
    ( ~ c0_1(a1114)
    | ~ c1_1(a1114)
    | ~ spl0_8
    | spl0_130 ),
    inference(resolution,[],[f995,f404]) ).

fof(f2553,plain,
    ( ~ c0_1(a1114)
    | c1_1(a1114)
    | ~ spl0_16
    | spl0_80 ),
    inference(resolution,[],[f433,f747]) ).

fof(f2576,plain,
    ( ~ c1_1(a1127)
    | ~ c3_1(a1127)
    | ~ spl0_18
    | ~ spl0_92 ),
    inference(resolution,[],[f441,f807]) ).

fof(f2650,plain,
    ( c3_1(a1119)
    | ~ c1_1(a1119)
    | ~ spl0_43
    | ~ spl0_86 ),
    inference(resolution,[],[f552,f777]) ).

fof(f2651,plain,
    ( c3_1(a1118)
    | ~ c1_1(a1118)
    | ~ spl0_43
    | ~ spl0_85 ),
    inference(resolution,[],[f552,f772]) ).

fof(f2657,plain,
    ( c3_1(a1130)
    | ~ c1_1(a1130)
    | ~ spl0_43
    | ~ spl0_94 ),
    inference(resolution,[],[f552,f817]) ).

fof(f2663,plain,
    ( ~ spl0_160
    | spl0_93
    | ~ spl0_43
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f2657,f815,f551,f810,f1209]) ).

fof(f2666,plain,
    ( ~ spl0_132
    | spl0_84
    | ~ spl0_43
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f2651,f770,f551,f765,f1003]) ).

fof(f2667,plain,
    ( ~ spl0_133
    | spl0_171
    | ~ spl0_43
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f2650,f775,f551,f1313,f1008]) ).

fof(f2671,plain,
    ( ~ spl0_95
    | ~ spl0_160
    | ~ spl0_37
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f2300,f815,f522,f1209,f820]) ).

fof(f2684,plain,
    ( c3_1(a1147)
    | c1_1(a1147)
    | ~ spl0_45
    | ~ spl0_100 ),
    inference(resolution,[],[f560,f847]) ).

fof(f2699,plain,
    ( ~ c3_1(a1116)
    | c0_1(a1116)
    | ~ spl0_7
    | spl0_152 ),
    inference(resolution,[],[f1105,f400]) ).

fof(f2719,plain,
    ( ~ c3_1(a1103)
    | ~ c0_1(a1103)
    | ~ spl0_46
    | ~ spl0_69 ),
    inference(resolution,[],[f564,f692]) ).

fof(f2730,plain,
    ( spl0_153
    | ~ spl0_151
    | ~ spl0_7
    | spl0_152 ),
    inference(avatar_split_clause,[],[f2699,f1103,f399,f1098,f1108]) ).

fof(f2736,plain,
    ( ~ spl0_132
    | spl0_179
    | ~ spl0_2
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1193,f765,f382,f1401,f1003]) ).

fof(f2745,plain,
    ( spl0_179
    | ~ spl0_2
    | ~ spl0_20
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1789,f1003,f448,f382,f1401]) ).

fof(f2747,plain,
    ( ~ spl0_70
    | ~ spl0_120
    | ~ spl0_46
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2719,f690,f563,f943,f695]) ).

fof(f2748,plain,
    ( spl0_164
    | ~ spl0_81
    | ~ spl0_16
    | spl0_80 ),
    inference(avatar_split_clause,[],[f2553,f745,f432,f750,f1229]) ).

fof(f2749,plain,
    ( spl0_165
    | spl0_99
    | ~ spl0_45
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f2684,f845,f559,f840,f1234]) ).

fof(f2751,plain,
    ( ~ spl0_164
    | ~ spl0_81
    | ~ spl0_8
    | spl0_130 ),
    inference(avatar_split_clause,[],[f2488,f993,f403,f750,f1229]) ).

fof(f2763,plain,
    ( spl0_124
    | spl0_72
    | ~ spl0_12
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1741,f958,f416,f705,f963]) ).

fof(f2767,plain,
    ( spl0_9
    | ~ spl0_14
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f2157,f476,f424,f406]) ).

fof(f2775,plain,
    ( ~ spl0_145
    | ~ spl0_101
    | ~ spl0_23
    | spl0_146 ),
    inference(avatar_split_clause,[],[f2118,f1073,f460,f850,f1068]) ).

fof(f2782,plain,
    ( spl0_115
    | spl0_161
    | ~ spl0_27
    | spl0_114 ),
    inference(avatar_split_clause,[],[f2155,f913,f476,f1214,f918]) ).

fof(f2785,plain,
    ( spl0_178
    | spl0_83
    | ~ spl0_27
    | spl0_131 ),
    inference(avatar_split_clause,[],[f2181,f998,f476,f760,f1396]) ).

fof(f2787,plain,
    ( ~ spl0_165
    | spl0_144
    | ~ spl0_2
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1188,f840,f382,f1063,f1234]) ).

fof(f2789,plain,
    ( ~ spl0_117
    | spl0_176
    | ~ spl0_2
    | spl0_67 ),
    inference(avatar_split_clause,[],[f1888,f680,f382,f1379,f928]) ).

fof(f2794,plain,
    ( ~ spl0_101
    | spl0_166
    | ~ spl0_11
    | spl0_146 ),
    inference(avatar_split_clause,[],[f2399,f1073,f413,f1239,f850]) ).

fof(f2799,plain,
    ( ~ spl0_145
    | spl0_166
    | ~ spl0_21
    | spl0_146 ),
    inference(avatar_split_clause,[],[f1537,f1073,f452,f1239,f1068]) ).

fof(f2800,plain,
    ( ~ spl0_172
    | spl0_91
    | ~ spl0_21
    | spl0_137 ),
    inference(avatar_split_clause,[],[f1540,f1028,f452,f800,f1318]) ).

fof(f2825,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(resolution,[],[f410,f397]) ).

fof(f2828,plain,
    ( c0_1(a1111)
    | ~ c1_1(a1111)
    | ~ spl0_10
    | spl0_148 ),
    inference(resolution,[],[f410,f1085]) ).

fof(f2842,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(duplicate_literal_removal,[],[f2825]) ).

fof(f2845,plain,
    ( ~ spl0_149
    | spl0_150
    | ~ spl0_10
    | spl0_148 ),
    inference(avatar_split_clause,[],[f2828,f1083,f409,f1093,f1088]) ).

fof(f2851,plain,
    ( ~ spl0_156
    | ~ spl0_182
    | ~ spl0_8
    | spl0_155 ),
    inference(avatar_split_clause,[],[f2385,f1118,f403,f1426,f1123]) ).

fof(f2857,plain,
    ( ~ spl0_139
    | ~ spl0_140
    | ~ spl0_18
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f2576,f805,f440,f1043,f1038]) ).

fof(f2883,plain,
    ( c0_1(a1148)
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_158 ),
    inference(resolution,[],[f2842,f1135]) ).

fof(f2893,plain,
    ( c0_1(a1102)
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_118 ),
    inference(resolution,[],[f2842,f935]) ).

fof(f2897,plain,
    ( spl0_119
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f2893,f933,f409,f396,f938]) ).

fof(f2900,plain,
    ( spl0_159
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2883,f1133,f409,f396,f1138]) ).

fof(f2930,plain,
    ( c3_1(a1147)
    | c0_1(a1147)
    | ~ spl0_14
    | ~ spl0_100 ),
    inference(resolution,[],[f425,f847]) ).

fof(f2945,plain,
    ( spl0_144
    | spl0_99
    | ~ spl0_14
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f2930,f845,f424,f840,f1063]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f391]) ).

cnf(s2,plain,
    ( spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f401]) ).

cnf(s3,plain,
    ( spl0_3
    | spl0_8
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f411]) ).

cnf(s4,plain,
    ( spl0_3
    | spl0_7
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f418]) ).

cnf(s5,plain,
    ( spl0_3
    | spl0_6
    | spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f419]) ).

cnf(s6,plain,
    ( spl0_3
    | spl0_7
    | spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f426]) ).

cnf(s8,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_16 ),
    inference(sat_conversion,[],[f434]) ).

cnf(s9,plain,
    ( spl0_3
    | spl0_7
    | ~ spl0_17
    | spl0_18 ),
    inference(sat_conversion,[],[f442]) ).

cnf(s10,plain,
    ( spl0_3
    | spl0_18
    | ~ spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f450]) ).

cnf(s11,plain,
    ( spl0_3
    | spl0_7
    | ~ spl0_17
    | spl0_21 ),
    inference(sat_conversion,[],[f454]) ).

cnf(s12,plain,
    ( spl0_3
    | spl0_7
    | spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f462]) ).

cnf(s13,plain,
    ( spl0_2
    | spl0_3
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f470]) ).

cnf(s14,plain,
    ( spl0_3
    | spl0_25
    | spl0_26
    | spl0_27 ),
    inference(sat_conversion,[],[f478]) ).

cnf(s15,plain,
    ( spl0_3
    | spl0_27
    | ~ spl0_28
    | spl0_29 ),
    inference(sat_conversion,[],[f486]) ).

cnf(s17,plain,
    ( spl0_3
    | spl0_9
    | spl0_10
    | spl0_30 ),
    inference(sat_conversion,[],[f492]) ).

cnf(s18,plain,
    ( spl0_3
    | spl0_18
    | spl0_23
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f497]) ).

cnf(s19,plain,
    ( spl0_1
    | spl0_3
    | ~ spl0_28
    | spl0_32 ),
    inference(sat_conversion,[],[f501]) ).

cnf(s20,plain,
    ( spl0_1
    | spl0_3
    | spl0_32
    | ~ spl0_33 ),
    inference(sat_conversion,[],[f506]) ).

cnf(s23,plain,
    ( spl0_3
    | spl0_4
    | spl0_36
    | spl0_37 ),
    inference(sat_conversion,[],[f524]) ).

cnf(s25,plain,
    ( spl0_3
    | spl0_15
    | spl0_23
    | spl0_39 ),
    inference(sat_conversion,[],[f534]) ).

cnf(s26,plain,
    ( spl0_3
    | spl0_8
    | spl0_9
    | ~ spl0_40 ),
    inference(sat_conversion,[],[f539]) ).

cnf(s27,plain,
    ( spl0_3
    | spl0_23
    | spl0_37
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f544]) ).

cnf(s28,plain,
    ( spl0_3
    | spl0_8
    | spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f545]) ).

cnf(s29,plain,
    ( spl0_3
    | spl0_5
    | spl0_42
    | spl0_43 ),
    inference(sat_conversion,[],[f553]) ).

cnf(s30,plain,
    ( spl0_3
    | spl0_12
    | ~ spl0_44
    | spl0_45 ),
    inference(sat_conversion,[],[f561]) ).

cnf(s31,plain,
    ( spl0_3
    | ~ spl0_40
    | spl0_43
    | spl0_46 ),
    inference(sat_conversion,[],[f565]) ).

cnf(s32,plain,
    ( spl0_3
    | spl0_5
    | spl0_46
    | spl0_47 ),
    inference(sat_conversion,[],[f570]) ).

cnf(s35,plain,
    ( spl0_3
    | spl0_16
    | spl0_32
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f576]) ).

cnf(s37,plain,
    ( spl0_3
    | spl0_13
    | ~ spl0_33
    | spl0_45 ),
    inference(sat_conversion,[],[f578]) ).

cnf(s38,plain,
    ( spl0_3
    | spl0_13
    | spl0_16
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f583]) ).

cnf(s40,plain,
    ( spl0_3
    | spl0_4
    | ~ spl0_35
    | spl0_38 ),
    inference(sat_conversion,[],[f592]) ).

cnf(s42,plain,
    ( spl0_3
    | spl0_25
    | ~ spl0_31
    | ~ spl0_44 ),
    inference(sat_conversion,[],[f602]) ).

cnf(s43,plain,
    ( spl0_3
    | spl0_32
    | spl0_38
    | spl0_47 ),
    inference(sat_conversion,[],[f603]) ).

cnf(s44,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_33
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f604]) ).

cnf(s46,plain,
    ( spl0_3
    | spl0_21
    | ~ spl0_35
    | ~ spl0_55 ),
    inference(sat_conversion,[],[f614]) ).

cnf(s47,plain,
    ( spl0_3
    | spl0_12
    | ~ spl0_44
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f615]) ).

cnf(s51,plain,
    ( spl0_3
    | spl0_8
    | ~ spl0_19
    | ~ spl0_56 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s52,plain,
    ( spl0_3
    | spl0_9
    | spl0_26
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s58,plain,
    ( spl0_3
    | ~ spl0_17
    | ~ spl0_19
    | spl0_37 ),
    inference(sat_conversion,[],[f645]) ).

cnf(s59,plain,
    ( spl0_3
    | ~ spl0_35
    | spl0_45
    | ~ spl0_54 ),
    inference(sat_conversion,[],[f646]) ).

cnf(s66,plain,
    ( spl0_49
    | spl0_65 ),
    inference(sat_conversion,[],[f673]) ).

cnf(s67,plain,
    ( spl0_17
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f678]) ).

cnf(s68,plain,
    ( spl0_41
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f683]) ).

cnf(s70,plain,
    ( ~ spl0_24
    | spl0_69 ),
    inference(sat_conversion,[],[f693]) ).

cnf(s71,plain,
    ( ~ spl0_24
    | spl0_70 ),
    inference(sat_conversion,[],[f698]) ).

cnf(s72,plain,
    ( ~ spl0_61
    | spl0_71 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s73,plain,
    ( ~ spl0_22
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f708]) ).

cnf(s74,plain,
    ( spl0_54
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f713]) ).

cnf(s76,plain,
    ( ~ spl0_38
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f723]) ).

cnf(s77,plain,
    ( ~ spl0_38
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f728]) ).

cnf(s78,plain,
    ( ~ spl0_36
    | spl0_77 ),
    inference(sat_conversion,[],[f733]) ).

cnf(s79,plain,
    ( ~ spl0_36
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f738]) ).

cnf(s80,plain,
    ( ~ spl0_42
    | spl0_79 ),
    inference(sat_conversion,[],[f743]) ).

cnf(s81,plain,
    ( spl0_60
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f748]) ).

cnf(s82,plain,
    ( spl0_60
    | spl0_81 ),
    inference(sat_conversion,[],[f753]) ).

cnf(s83,plain,
    ( ~ spl0_47
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f758]) ).

cnf(s84,plain,
    ( ~ spl0_47
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f763]) ).

cnf(s85,plain,
    ( spl0_55
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f768]) ).

cnf(s86,plain,
    ( spl0_55
    | spl0_85 ),
    inference(sat_conversion,[],[f773]) ).

cnf(s87,plain,
    ( spl0_33
    | spl0_86 ),
    inference(sat_conversion,[],[f778]) ).

cnf(s88,plain,
    ( spl0_33
    | spl0_87 ),
    inference(sat_conversion,[],[f783]) ).

cnf(s90,plain,
    ( spl0_56
    | spl0_89 ),
    inference(sat_conversion,[],[f793]) ).

cnf(s91,plain,
    ( spl0_56
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f798]) ).

cnf(s92,plain,
    ( spl0_53
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f803]) ).

cnf(s93,plain,
    ( spl0_35
    | spl0_92 ),
    inference(sat_conversion,[],[f808]) ).

cnf(s94,plain,
    ( spl0_28
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f813]) ).

cnf(s95,plain,
    ( spl0_28
    | spl0_94 ),
    inference(sat_conversion,[],[f818]) ).

cnf(s96,plain,
    ( spl0_28
    | spl0_95 ),
    inference(sat_conversion,[],[f823]) ).

cnf(s97,plain,
    ( spl0_31
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f828]) ).

cnf(s98,plain,
    ( spl0_31
    | spl0_97 ),
    inference(sat_conversion,[],[f833]) ).

cnf(s100,plain,
    ( ~ spl0_30
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f843]) ).

cnf(s101,plain,
    ( ~ spl0_30
    | spl0_100 ),
    inference(sat_conversion,[],[f848]) ).

cnf(s102,plain,
    ( ~ spl0_26
    | spl0_101 ),
    inference(sat_conversion,[],[f853]) ).

cnf(s105,plain,
    ( ~ spl0_104
    | spl0_105 ),
    inference(sat_conversion,[],[f872]) ).

cnf(s106,plain,
    ( ~ spl0_104
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f877]) ).

cnf(s107,plain,
    ( ~ spl0_104
    | spl0_107 ),
    inference(sat_conversion,[],[f882]) ).

cnf(s111,plain,
    ( spl0_49
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f906]) ).

cnf(s112,plain,
    ( spl0_49
    | spl0_113 ),
    inference(sat_conversion,[],[f911]) ).

cnf(s113,plain,
    ( spl0_17
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f916]) ).

cnf(s114,plain,
    ( spl0_17
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f921]) ).

cnf(s115,plain,
    ( spl0_41
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f926]) ).

cnf(s116,plain,
    ( spl0_41
    | spl0_117 ),
    inference(sat_conversion,[],[f931]) ).

cnf(s117,plain,
    ( ~ spl0_39
    | spl0_118 ),
    inference(sat_conversion,[],[f936]) ).

cnf(s118,plain,
    ( ~ spl0_39
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f941]) ).

cnf(s119,plain,
    ( ~ spl0_24
    | spl0_120 ),
    inference(sat_conversion,[],[f946]) ).

cnf(s120,plain,
    ( ~ spl0_61
    | spl0_121 ),
    inference(sat_conversion,[],[f951]) ).

cnf(s121,plain,
    ( ~ spl0_61
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f956]) ).

cnf(s122,plain,
    ( ~ spl0_22
    | spl0_123 ),
    inference(sat_conversion,[],[f961]) ).

cnf(s123,plain,
    ( ~ spl0_22
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f966]) ).

cnf(s124,plain,
    ( spl0_54
    | spl0_125 ),
    inference(sat_conversion,[],[f971]) ).

cnf(s125,plain,
    ( ~ spl0_38
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f976]) ).

cnf(s126,plain,
    ( ~ spl0_36
    | spl0_127 ),
    inference(sat_conversion,[],[f981]) ).

cnf(s127,plain,
    ( ~ spl0_42
    | spl0_128 ),
    inference(sat_conversion,[],[f986]) ).

cnf(s128,plain,
    ( ~ spl0_42
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f991]) ).

cnf(s129,plain,
    ( spl0_60
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f996]) ).

cnf(s130,plain,
    ( ~ spl0_47
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f1001]) ).

cnf(s131,plain,
    ( spl0_55
    | spl0_132 ),
    inference(sat_conversion,[],[f1006]) ).

cnf(s132,plain,
    ( spl0_33
    | spl0_133 ),
    inference(sat_conversion,[],[f1011]) ).

cnf(s135,plain,
    ( spl0_56
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f1026]) ).

cnf(s136,plain,
    ( spl0_53
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1031]) ).

cnf(s137,plain,
    ( spl0_53
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f1036]) ).

cnf(s138,plain,
    ( spl0_35
    | spl0_139 ),
    inference(sat_conversion,[],[f1041]) ).

cnf(s139,plain,
    ( spl0_35
    | spl0_140 ),
    inference(sat_conversion,[],[f1046]) ).

cnf(s140,plain,
    ( spl0_31
    | spl0_141 ),
    inference(sat_conversion,[],[f1051]) ).

cnf(s143,plain,
    ( ~ spl0_30
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1066]) ).

cnf(s144,plain,
    ( ~ spl0_26
    | spl0_145 ),
    inference(sat_conversion,[],[f1071]) ).

cnf(s145,plain,
    ( ~ spl0_26
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1076]) ).

cnf(s147,plain,
    ( spl0_19
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1086]) ).

cnf(s148,plain,
    ( spl0_19
    | spl0_149 ),
    inference(sat_conversion,[],[f1091]) ).

cnf(s149,plain,
    ( spl0_19
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1096]) ).

cnf(s150,plain,
    ( spl0_40
    | spl0_151 ),
    inference(sat_conversion,[],[f1101]) ).

cnf(s151,plain,
    ( spl0_40
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1106]) ).

cnf(s152,plain,
    ( spl0_40
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1111]) ).

cnf(s153,plain,
    ( spl0_44
    | spl0_154 ),
    inference(sat_conversion,[],[f1116]) ).

cnf(s154,plain,
    ( spl0_44
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1121]) ).

cnf(s155,plain,
    ( spl0_44
    | spl0_156 ),
    inference(sat_conversion,[],[f1126]) ).

cnf(s156,plain,
    ( spl0_57
    | spl0_157 ),
    inference(sat_conversion,[],[f1131]) ).

cnf(s157,plain,
    ( spl0_57
    | spl0_158 ),
    inference(sat_conversion,[],[f1136]) ).

cnf(s158,plain,
    ( spl0_57
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1141]) ).

cnf(s159,plain,
    ( ~ spl0_35
    | ~ spl0_60
    | spl0_104 ),
    inference(sat_conversion,[],[f1142]) ).

cnf(s160,plain,
    ( spl0_34
    | spl0_47
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f1143]) ).

cnf(s167,plain,
    ( spl0_26
    | ~ spl0_31
    | spl0_61 ),
    inference(sat_conversion,[],[f1150]) ).

cnf(s181,plain,
    ( ~ spl0_3
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f1164]) ).

cnf(s184,plain,
    ( ~ spl0_3
    | ~ spl0_34 ),
    inference(sat_conversion,[],[f1167]) ).

cnf(s195,plain,
    ( ~ spl0_3
    | spl0_108 ),
    inference(sat_conversion,[],[f1178]) ).

cnf(s200,plain,
    ( spl0_30
    | ~ spl0_55 ),
    inference(sat_conversion,[],[f1183]) ).

cnf(s202,plain,
    ( ~ spl0_2
    | spl0_66
    | spl0_115
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1217]) ).

cnf(s209,plain,
    ( ~ spl0_5
    | ~ spl0_105
    | spl0_106
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1278]) ).

cnf(s210,plain,
    ( ~ spl0_5
    | ~ spl0_89
    | spl0_90
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1283]) ).

cnf(s236,plain,
    ( ~ spl0_9
    | spl0_91
    | spl0_138
    | spl0_172 ),
    inference(sat_conversion,[],[f1408]) ).

cnf(s255,plain,
    ( ~ spl0_1
    | ~ spl0_13
    | ~ spl0_97
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f1581]) ).

cnf(s260,plain,
    ( ~ spl0_4
    | ~ spl0_18
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1596]) ).

cnf(s265,plain,
    ( ~ spl0_7
    | ~ spl0_18
    | spl0_20 ),
    inference(sat_conversion,[],[f1613]) ).

cnf(s268,plain,
    ( ~ spl0_6
    | ~ spl0_71
    | ~ spl0_121
    | spl0_122 ),
    inference(sat_conversion,[],[f1616]) ).

cnf(s270,plain,
    ( ~ spl0_1
    | ~ spl0_101
    | ~ spl0_145
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1618]) ).

cnf(s271,plain,
    ( ~ spl0_5
    | ~ spl0_21
    | spl0_73
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1627]) ).

cnf(s273,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | spl0_20 ),
    inference(sat_conversion,[],[f1658]) ).

cnf(s277,plain,
    ( ~ spl0_9
    | spl0_99
    | spl0_144
    | spl0_165 ),
    inference(sat_conversion,[],[f1662]) ).

cnf(s278,plain,
    ( ~ spl0_9
    | spl0_90
    | spl0_136
    | spl0_169 ),
    inference(sat_conversion,[],[f1663]) ).

cnf(s285,plain,
    ( ~ spl0_9
    | spl0_66
    | spl0_115
    | spl0_161 ),
    inference(sat_conversion,[],[f1670]) ).

cnf(s291,plain,
    ( ~ spl0_15
    | ~ spl0_89
    | spl0_90
    | spl0_136 ),
    inference(sat_conversion,[],[f1676]) ).

cnf(s292,plain,
    ( ~ spl0_20
    | ~ spl0_157
    | ~ spl0_158
    | spl0_159 ),
    inference(sat_conversion,[],[f1677]) ).

cnf(s301,plain,
    ( ~ spl0_6
    | ~ spl0_85
    | ~ spl0_132
    | spl0_179 ),
    inference(sat_conversion,[],[f1686]) ).

cnf(s313,plain,
    ( ~ spl0_12
    | spl0_90
    | spl0_136
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1750]) ).

cnf(s325,plain,
    ( ~ spl0_2
    | ~ spl0_149
    | spl0_150
    | spl0_174 ),
    inference(sat_conversion,[],[f1762]) ).

cnf(s327,plain,
    ( ~ spl0_9
    | spl0_75
    | spl0_76
    | spl0_126 ),
    inference(sat_conversion,[],[f1764]) ).

cnf(s328,plain,
    ( ~ spl0_7
    | ~ spl0_154
    | spl0_155
    | spl0_182 ),
    inference(sat_conversion,[],[f1765]) ).

cnf(s343,plain,
    ( ~ spl0_2
    | ~ spl0_20
    | spl0_144
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1799]) ).

cnf(s354,plain,
    ( ~ spl0_16
    | spl0_106
    | ~ spl0_107
    | spl0_168 ),
    inference(sat_conversion,[],[f1854]) ).

cnf(s359,plain,
    ( ~ spl0_16
    | spl0_82
    | spl0_83
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f1859]) ).

cnf(s369,plain,
    ( spl0_1
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f1869]) ).

cnf(s372,plain,
    ( ~ spl0_8
    | ~ spl0_101
    | spl0_146
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1872]) ).

cnf(s374,plain,
    ( ~ spl0_1
    | ~ spl0_139
    | ~ spl0_140
    | ~ spl0_180 ),
    inference(sat_conversion,[],[f1874]) ).

cnf(s375,plain,
    ( ~ spl0_8
    | ~ spl0_65
    | spl0_112
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f1875]) ).

cnf(s412,plain,
    ( ~ spl0_1
    | ~ spl0_70
    | ~ spl0_120
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2022]) ).

cnf(s415,plain,
    ( ~ spl0_1
    | ~ spl0_87
    | ~ spl0_133
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f2025]) ).

cnf(s425,plain,
    ( ~ spl0_4
    | spl0_148
    | ~ spl0_149
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f2063]) ).

cnf(s436,plain,
    ( spl0_2
    | ~ spl0_6
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f2145]) ).

cnf(s437,plain,
    ( ~ spl0_27
    | spl0_91
    | spl0_137
    | spl0_138 ),
    inference(sat_conversion,[],[f2159]) ).

cnf(s456,plain,
    ( ~ spl0_5
    | ~ spl0_69
    | ~ spl0_120
    | spl0_162 ),
    inference(sat_conversion,[],[f2230]) ).

cnf(s460,plain,
    ( ~ spl0_32
    | spl0_66
    | spl0_114
    | spl0_115 ),
    inference(sat_conversion,[],[f2278]) ).

cnf(s462,plain,
    ( ~ spl0_32
    | spl0_137
    | spl0_138
    | spl0_172 ),
    inference(sat_conversion,[],[f2280]) ).

cnf(s464,plain,
    ( ~ spl0_32
    | spl0_148
    | spl0_150
    | spl0_174 ),
    inference(sat_conversion,[],[f2282]) ).

cnf(s467,plain,
    ( ~ spl0_37
    | ~ spl0_85
    | ~ spl0_132
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f2306]) ).

cnf(s468,plain,
    ( ~ spl0_37
    | ~ spl0_86
    | ~ spl0_87
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f2307]) ).

cnf(s471,plain,
    ( ~ spl0_5
    | ~ spl0_77
    | spl0_78
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f2310]) ).

cnf(s472,plain,
    ( ~ spl0_8
    | spl0_116
    | ~ spl0_117
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2311]) ).

cnf(s478,plain,
    ( ~ spl0_1
    | ~ spl0_13
    | ~ spl0_132
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f2317]) ).

cnf(s481,plain,
    ( ~ spl0_13
    | spl0_96
    | ~ spl0_97
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f2320]) ).

cnf(s490,plain,
    ( ~ spl0_25
    | spl0_148
    | ~ spl0_149
    | spl0_174 ),
    inference(sat_conversion,[],[f2328]) ).

cnf(s492,plain,
    ( ~ spl0_25
    | spl0_66
    | spl0_114
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2330]) ).

cnf(s497,plain,
    ( ~ spl0_29
    | ~ spl0_79
    | ~ spl0_128
    | spl0_129 ),
    inference(sat_conversion,[],[f2335]) ).

cnf(s504,plain,
    ( ~ spl0_25
    | spl0_67
    | spl0_116
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f2443]) ).

cnf(s507,plain,
    ( ~ spl0_16
    | spl0_93
    | ~ spl0_95
    | spl0_160 ),
    inference(sat_conversion,[],[f2446]) ).

cnf(s517,plain,
    ( ~ spl0_1
    | ~ spl0_13
    | ~ spl0_95
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2466]) ).

cnf(s520,plain,
    ( ~ spl0_7
    | spl0_148
    | spl0_150
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f2469]) ).

cnf(s525,plain,
    ( ~ spl0_7
    | spl0_137
    | spl0_138
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2474]) ).

cnf(s534,plain,
    ( ~ spl0_4
    | ~ spl0_154
    | spl0_155
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f2482]) ).

cnf(s536,plain,
    ( ~ spl0_29
    | ~ spl0_92
    | ~ spl0_139
    | spl0_180 ),
    inference(sat_conversion,[],[f2484]) ).

cnf(s543,plain,
    ( ~ spl0_43
    | spl0_93
    | ~ spl0_94
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2663]) ).

cnf(s546,plain,
    ( ~ spl0_43
    | spl0_84
    | ~ spl0_85
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f2666]) ).

cnf(s547,plain,
    ( ~ spl0_43
    | ~ spl0_86
    | ~ spl0_133
    | spl0_171 ),
    inference(sat_conversion,[],[f2667]) ).

cnf(s551,plain,
    ( ~ spl0_37
    | ~ spl0_94
    | ~ spl0_95
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2671]) ).

cnf(s558,plain,
    ( ~ spl0_7
    | ~ spl0_151
    | spl0_152
    | spl0_153 ),
    inference(sat_conversion,[],[f2730]) ).

cnf(s564,plain,
    ( ~ spl0_2
    | spl0_84
    | ~ spl0_132
    | spl0_179 ),
    inference(sat_conversion,[],[f2736]) ).

cnf(s574,plain,
    ( ~ spl0_2
    | ~ spl0_20
    | ~ spl0_132
    | spl0_179 ),
    inference(sat_conversion,[],[f2745]) ).

cnf(s576,plain,
    ( ~ spl0_46
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f2747]) ).

cnf(s577,plain,
    ( ~ spl0_16
    | spl0_80
    | ~ spl0_81
    | spl0_164 ),
    inference(sat_conversion,[],[f2748]) ).

cnf(s578,plain,
    ( ~ spl0_45
    | spl0_99
    | ~ spl0_100
    | spl0_165 ),
    inference(sat_conversion,[],[f2749]) ).

cnf(s580,plain,
    ( ~ spl0_8
    | ~ spl0_81
    | spl0_130
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2751]) ).

cnf(s592,plain,
    ( ~ spl0_12
    | spl0_72
    | ~ spl0_123
    | spl0_124 ),
    inference(sat_conversion,[],[f2763]) ).

cnf(s596,plain,
    ( spl0_9
    | ~ spl0_14
    | ~ spl0_27 ),
    inference(sat_conversion,[],[f2767]) ).

cnf(s604,plain,
    ( ~ spl0_23
    | ~ spl0_101
    | ~ spl0_145
    | spl0_146 ),
    inference(sat_conversion,[],[f2775]) ).

cnf(s611,plain,
    ( ~ spl0_27
    | spl0_114
    | spl0_115
    | spl0_161 ),
    inference(sat_conversion,[],[f2782]) ).

cnf(s614,plain,
    ( ~ spl0_27
    | spl0_83
    | spl0_131
    | spl0_178 ),
    inference(sat_conversion,[],[f2785]) ).

cnf(s616,plain,
    ( ~ spl0_2
    | spl0_99
    | spl0_144
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2787]) ).

cnf(s618,plain,
    ( ~ spl0_2
    | spl0_67
    | ~ spl0_117
    | spl0_176 ),
    inference(sat_conversion,[],[f2789]) ).

cnf(s623,plain,
    ( ~ spl0_11
    | ~ spl0_101
    | spl0_146
    | spl0_166 ),
    inference(sat_conversion,[],[f2794]) ).

cnf(s628,plain,
    ( ~ spl0_21
    | ~ spl0_145
    | spl0_146
    | spl0_166 ),
    inference(sat_conversion,[],[f2799]) ).

cnf(s629,plain,
    ( ~ spl0_21
    | spl0_91
    | spl0_137
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2800]) ).

cnf(s632,plain,
    ( ~ spl0_10
    | spl0_148
    | ~ spl0_149
    | spl0_150 ),
    inference(sat_conversion,[],[f2845]) ).

cnf(s638,plain,
    ( ~ spl0_8
    | spl0_155
    | ~ spl0_156
    | ~ spl0_182 ),
    inference(sat_conversion,[],[f2851]) ).

cnf(s644,plain,
    ( ~ spl0_18
    | ~ spl0_92
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f2857]) ).

cnf(s645,plain,
    ( ~ spl0_6
    | ~ spl0_10
    | ~ spl0_118
    | spl0_119 ),
    inference(sat_conversion,[],[f2897]) ).

cnf(s648,plain,
    ( ~ spl0_6
    | ~ spl0_10
    | ~ spl0_158
    | spl0_159 ),
    inference(sat_conversion,[],[f2900]) ).

cnf(s651,plain,
    ( ~ spl0_14
    | spl0_99
    | ~ spl0_100
    | spl0_144 ),
    inference(sat_conversion,[],[f2945]) ).

cnf(s652,plain,
    ( ~ spl0_38
    | ~ spl0_9 ),
    inference(rat,[],[s327,s76,s77,s125]) ).

cnf(s653,plain,
    ( ~ spl0_33
    | ~ spl0_7
    | spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s462,s525,s136,s137,s20,s44]) ).

cnf(s654,plain,
    ( spl0_53
    | ~ spl0_32
    | ~ spl0_7 ),
    inference(rat,[],[s462,s525,s136,s137]) ).

cnf(s656,plain,
    ( spl0_8
    | spl0_37
    | spl0_6
    | spl0_3 ),
    inference(rat,[],[s652,s28,s5]) ).

cnf(s657,plain,
    ( spl0_44
    | ~ spl0_4 ),
    inference(rat,[],[s534,s153,s154,s155]) ).

cnf(s658,plain,
    ( ~ spl0_47
    | ~ spl0_27
    | ~ spl0_16 ),
    inference(rat,[],[s359,s614,s83,s84,s130]) ).

cnf(s660,plain,
    ( spl0_41
    | ~ spl0_25 ),
    inference(rat,[],[s504,s68,s115,s116]) ).

cnf(s663,plain,
    ( spl0_19
    | ~ spl0_25
    | ~ spl0_7 ),
    inference(rat,[],[s490,s520,s147,s148,s149]) ).

cnf(s664,plain,
    ( spl0_17
    | ~ spl0_32 ),
    inference(rat,[],[s460,s67,s113,s114]) ).

cnf(s665,plain,
    ( ~ spl0_32
    | spl0_37
    | ~ spl0_7
    | spl0_3 ),
    inference(rat,[],[s464,s520,s147,s149,s58,s664]) ).

cnf(s666,plain,
    ( spl0_57
    | ~ spl0_20 ),
    inference(rat,[],[s292,s156,s157,s158]) ).

cnf(s667,plain,
    ( ~ spl0_25
    | spl0_18
    | spl0_37
    | ~ spl0_7
    | spl0_3 ),
    inference(rat,[],[s604,s102,s144,s145,s52,s666,s285,s492,s67,s113,s114,s10,s58,s27,s663,s660]) ).

cnf(s669,plain,
    ( ~ spl0_7
    | spl0_46
    | spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s558,s150,s151,s152,s31,s543,s507,s94,s95,s96,s19,s665,s468,s87,s88,s132,s653,s8]) ).

cnf(s670,plain,
    ( ~ spl0_39
    | ~ spl0_10
    | ~ spl0_6 ),
    inference(rat,[],[s645,s117,s118]) ).

cnf(s671,plain,
    ( spl0_56
    | ~ spl0_15 ),
    inference(rat,[],[s291,s90,s91,s135]) ).

cnf(s673,plain,
    ( ~ spl0_24
    | ~ spl0_46 ),
    inference(rat,[],[s576,s70,s71,s119]) ).

cnf(s674,plain,
    ( ~ spl0_7
    | spl0_3
    | spl0_1
    | spl0_2 ),
    inference(rat,[],[s369,s656,s667,s436,s13,s673,s468,s87,s88,s132,s669,s653]) ).

cnf(s675,plain,
    ( ~ spl0_26
    | ~ spl0_23 ),
    inference(rat,[],[s604,s102,s144,s145]) ).

cnf(s676,plain,
    ( spl0_19
    | ~ spl0_25
    | ~ spl0_4 ),
    inference(rat,[],[s425,s490,s147,s148]) ).

cnf(s677,plain,
    ( spl0_37
    | ~ spl0_19
    | ~ spl0_25
    | spl0_6
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s52,s285,s666,s492,s10,s67,s113,s114,s675,s369,s58,s27,s656,s660]) ).

cnf(s678,plain,
    ( spl0_33
    | ~ spl0_37 ),
    inference(rat,[],[s468,s87,s88,s132]) ).

cnf(s679,plain,
    ( ~ spl0_33
    | spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s629,s11,s462,s664,s92,s136,s137,s20,s44,s674]) ).

cnf(s680,plain,
    ( ~ spl0_25
    | spl0_6
    | spl0_37
    | ~ spl0_4
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s677,s676]) ).

cnf(s681,plain,
    ( ~ spl0_26
    | ~ spl0_8
    | spl0_7
    | spl0_3 ),
    inference(rat,[],[s592,s4,s73,s122,s123,s623,s12,s372,s675,s102,s145]) ).

cnf(s682,plain,
    ( spl0_6
    | spl0_37
    | spl0_7
    | ~ spl0_4
    | ~ spl0_16
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s652,s596,s43,s658,s14,s681,s6,s481,s97,s98,s140,s42,s680,s664,s9,s369,s656,s657]) ).

cnf(s683,plain,
    ( ~ spl0_8
    | ~ spl0_57
    | spl0_25
    | spl0_7
    | ~ spl0_16
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s43,s652,s658,s664,s52,s14,s9,s681,s369]) ).

cnf(s684,plain,
    ( spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s632,s147,s148,s149,s51,s671,s25,s670,s675,s3,s52,s652,s28,s683,s666,s273,s436,s682,s678,s679,s674,s1,s8]) ).

cnf(s685,plain,
    ~ spl0_3,
    inference(rat,[],[s160,s181,s184,s195]) ).

cnf(s686,plain,
    ( spl0_37
    | ~ spl0_25
    | spl0_1
    | spl0_6 ),
    inference(rat,[],[s471,s78,s79,s126,s2,s23,s663,s680,s677,s685]) ).

cnf(s687,plain,
    ( ~ spl0_30
    | ~ spl0_45
    | ~ spl0_20
    | ~ spl0_2 ),
    inference(rat,[],[s578,s343,s100,s101,s143]) ).

cnf(s688,plain,
    ( spl0_55
    | ~ spl0_20
    | ~ spl0_37
    | ~ spl0_2 ),
    inference(rat,[],[s467,s574,s86,s131]) ).

cnf(s689,plain,
    ( spl0_18
    | ~ spl0_19
    | ~ spl0_37
    | ~ spl0_2 ),
    inference(rat,[],[s481,s97,s98,s140,s18,s675,s52,s37,s277,s343,s687,s100,s143,s200,s688,s666,s10,s678,s685]) ).

cnf(s690,plain,
    ( ~ spl0_7
    | ~ spl0_25
    | spl0_6
    | spl0_1 ),
    inference(rat,[],[s277,s343,s100,s143,s200,s5,s688,s369,s265,s689,s663,s684,s686,s685]) ).

cnf(s691,plain,
    ( spl0_56
    | ~ spl0_9
    | ~ spl0_5 ),
    inference(rat,[],[s210,s278,s90,s91,s135]) ).

cnf(s692,plain,
    ( ~ spl0_25
    | spl0_6
    | spl0_1 ),
    inference(rat,[],[s644,s93,s138,s139,s40,s676,s51,s691,s652,s5,s369,s9,s2,s690,s664,s20,s678,s686,s685]) ).

cnf(s693,plain,
    ( spl0_41
    | ~ spl0_8
    | ~ spl0_2 ),
    inference(rat,[],[s618,s472,s68,s115,s116]) ).

cnf(s694,plain,
    ( spl0_19
    | ~ spl0_7
    | ~ spl0_2 ),
    inference(rat,[],[s325,s520,s147,s148,s149]) ).

cnf(s695,plain,
    ( ~ spl0_8
    | ~ spl0_19
    | spl0_25
    | spl0_1 ),
    inference(rat,[],[s202,s611,s14,s67,s113,s114,s675,s58,s27,s689,s693,s369,s684,s685]) ).

cnf(s696,plain,
    ( ~ spl0_7
    | spl0_6
    | spl0_1 ),
    inference(rat,[],[s277,s343,s100,s143,s200,s688,s265,s689,s656,s5,s695,s694,s684,s692,s685]) ).

cnf(s697,plain,
    ( ~ spl0_8
    | spl0_6
    | spl0_1 ),
    inference(rat,[],[s202,s611,s67,s113,s114,s14,s9,s681,s369,s684,s692,s696,s685]) ).

cnf(s698,plain,
    ( spl0_6
    | spl0_1 ),
    inference(rat,[],[s644,s93,s138,s139,s40,s425,s9,s464,s664,s147,s148,s149,s20,s51,s678,s691,s652,s656,s5,s697,s2,s696,s685]) ).

cnf(s699,plain,
    ( ~ spl0_8
    | ~ spl0_7
    | spl0_1 ),
    inference(rat,[],[s689,s667,s695,s369,s694,s684,s685]) ).

cnf(s701,plain,
    ( ~ spl0_37
    | ~ spl0_7
    | spl0_1 ),
    inference(rat,[],[s25,s670,s675,s3,s52,s277,s343,s100,s143,s200,s688,s666,s265,s689,s698,s671,s51,s699,s694,s684,s685]) ).

cnf(s702,plain,
    ( ~ spl0_7
    | spl0_1 ),
    inference(rat,[],[s558,s150,s151,s152,s26,s652,s28,s701,s699,s685]) ).

cnf(s704,plain,
    ( ~ spl0_61
    | ~ spl0_6 ),
    inference(rat,[],[s268,s72,s120,s121]) ).

cnf(s705,plain,
    ( ~ spl0_8
    | spl0_1 ),
    inference(rat,[],[s481,s97,s98,s140,s167,s6,s651,s100,s101,s143,s17,s648,s157,s158,s52,s285,s202,s67,s114,s9,s681,s369,s684,s702,s704,s698,s685]) ).

cnf(s706,plain,
    ( spl0_57
    | ~ spl0_10
    | ~ spl0_6 ),
    inference(rat,[],[s648,s157,s158]) ).

cnf(s707,plain,
    ( spl0_9
    | spl0_1 ),
    inference(rat,[],[s632,s147,s148,s149,s51,s671,s25,s675,s52,s706,s670,s3,s698,s705,s685]) ).

cnf(s708,plain,
    ( spl0_35
    | ~ spl0_18 ),
    inference(rat,[],[s644,s93,s138,s139]) ).

cnf(s709,plain,
    spl0_1,
    inference(rat,[],[s277,s343,s100,s143,s200,s688,s273,s40,s708,s9,s664,s20,s678,s28,s652,s707,s705,s702,s698,s684,s685]) ).

cnf(s710,plain,
    ( ~ spl0_30
    | ~ spl0_14 ),
    inference(rat,[],[s651,s100,s101,s143]) ).

cnf(s711,plain,
    ( spl0_9
    | spl0_30
    | ~ spl0_6
    | spl0_26 ),
    inference(rat,[],[s706,s17,s52,s685]) ).

cnf(s712,plain,
    ( spl0_17
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(rat,[],[s285,s202,s67,s114]) ).

cnf(s713,plain,
    ( ~ spl0_25
    | ~ spl0_9
    | spl0_37
    | ~ spl0_6
    | spl0_7 ),
    inference(rat,[],[s40,s708,s676,s9,s58,s712,s436,s652,s685]) ).

cnf(s714,plain,
    ( spl0_49
    | ~ spl0_8 ),
    inference(rat,[],[s375,s66,s111,s112]) ).

cnf(s715,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | spl0_7 ),
    inference(rat,[],[s425,s40,s464,s708,s147,s148,s149,s9,s58,s664,s43,s658,s38,s14,s713,s652,s711,s467,s301,s86,s131,s200,s710,s6,s255,s98,s140,s167,s704,s681,s714,s685,s709]) ).

cnf(s716,plain,
    ( ~ spl0_36
    | ~ spl0_5 ),
    inference(rat,[],[s471,s78,s79,s126]) ).

cnf(s717,plain,
    ( ~ spl0_4
    | ~ spl0_25
    | spl0_57 ),
    inference(rat,[],[s10,s260,s676,s157,s156,s666,s685]) ).

cnf(s718,plain,
    ( spl0_28
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(rat,[],[s507,s517,s94,s96,s709]) ).

cnf(s719,plain,
    ( spl0_35
    | ~ spl0_29 ),
    inference(rat,[],[s536,s374,s93,s138,s139,s709]) ).

cnf(s720,plain,
    ( ~ spl0_2
    | ~ spl0_35
    | ~ spl0_13
    | spl0_99
    | ~ spl0_100
    | spl0_144
    | ~ spl0_5 ),
    inference(rat,[],[s564,s478,s85,s131,s46,s271,s74,s124,s59,s578,s616,s709,s685]) ).

cnf(s724,plain,
    ( ~ spl0_104
    | ~ spl0_16
    | ~ spl0_5 ),
    inference(rat,[],[s209,s354,s105,s106,s107]) ).

cnf(s725,plain,
    ( spl0_18
    | ~ spl0_25
    | spl0_9
    | ~ spl0_8
    | spl0_7 ),
    inference(rat,[],[s577,s580,s81,s82,s129,s159,s724,s719,s15,s718,s6,s710,s17,s611,s632,s35,s492,s147,s148,s149,s664,s67,s113,s114,s10,s9,s2,s715,s666,s52,s681,s660,s685]) ).

cnf(s726,plain,
    ( ~ spl0_16
    | ~ spl0_35
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(rat,[],[s577,s580,s81,s82,s129,s159,s724]) ).

cnf(s727,plain,
    ( spl0_53
    | ~ spl0_21
    | ~ spl0_32 ),
    inference(rat,[],[s629,s462,s92,s136,s137]) ).

cnf(s728,plain,
    ( ~ spl0_30
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_35
    | ~ spl0_5 ),
    inference(rat,[],[s720,s100,s101,s143]) ).

cnf(s729,plain,
    ( ~ spl0_2
    | ~ spl0_13
    | ~ spl0_5
    | ~ spl0_35 ),
    inference(rat,[],[s564,s478,s85,s131,s200,s728,s709]) ).

cnf(s730,plain,
    ( ~ spl0_25
    | spl0_9
    | ~ spl0_8
    | spl0_7 ),
    inference(rat,[],[s729,s44,s38,s727,s11,s664,s35,s726,s708,s725,s678,s23,s717,s660,s714,s716,s2,s715,s52,s681,s685]) ).

cnf(s731,plain,
    ( ~ spl0_24
    | ~ spl0_5 ),
    inference(rat,[],[s456,s412,s70,s71,s119,s709]) ).

cnf(s732,plain,
    ( spl0_9
    | ~ spl0_8
    | spl0_7 ),
    inference(rat,[],[s202,s611,s67,s113,s114,s9,s708,s729,s13,s6,s596,s14,s730,s681,s731,s2,s715,s685]) ).

cnf(s733,plain,
    ( spl0_17
    | ~ spl0_25
    | ~ spl0_9 ),
    inference(rat,[],[s285,s492,s67,s113,s114]) ).

cnf(s734,plain,
    ( ~ spl0_25
    | ~ spl0_8
    | spl0_7 ),
    inference(rat,[],[s44,s678,s729,s727,s58,s38,s35,s676,s726,s40,s708,s9,s11,s733,s660,s714,s2,s715,s652,s732,s685]) ).

cnf(s735,plain,
    ( ~ spl0_8
    | spl0_7 ),
    inference(rat,[],[s38,s729,s726,s708,s9,s712,s13,s734,s732,s731,s2,s715,s714,s685]) ).

cnf(s736,plain,
    ( ~ spl0_26
    | spl0_7 ),
    inference(rat,[],[s592,s4,s73,s122,s123,s623,s12,s270,s675,s102,s144,s145,s685,s709]) ).

cnf(s737,plain,
    ( spl0_9
    | spl0_7 ),
    inference(rat,[],[s706,s52,s3,s5,s735,s736,s685]) ).

cnf(s738,plain,
    ( ~ spl0_25
    | spl0_7 ),
    inference(rat,[],[s200,s687,s688,s30,s273,s436,s313,s2,s278,s691,s91,s135,s51,s676,s657,s40,s708,s9,s733,s28,s652,s737,s735,s685]) ).

cnf(s739,plain,
    ( ~ spl0_6
    | spl0_7 ),
    inference(rat,[],[s467,s301,s86,s131,s200,s710,s6,s255,s98,s140,s167,s704,s736,s28,s652,s737,s735,s685,s709]) ).

cnf(s740,plain,
    spl0_7,
    inference(rat,[],[s40,s425,s708,s325,s9,s147,s148,s149,s712,s51,s13,s691,s731,s2,s739,s738,s652,s737,s735,s685]) ).

cnf(s742,plain,
    ( spl0_18
    | ~ spl0_2
    | ~ spl0_25 ),
    inference(rat,[],[s667,s689,s663,s740,s685]) ).

cnf(s744,plain,
    ( ~ spl0_2
    | spl0_18
    | spl0_9
    | ~ spl0_8 ),
    inference(rat,[],[s52,s675,s666,s27,s10,s689,s694,s693,s685,s740]) ).

cnf(s746,plain,
    spl0_40,
    inference(rat,[],[s558,s150,s151,s152,s740]) ).

cnf(s751,plain,
    ( ~ spl0_2
    | ~ spl0_25
    | spl0_9 ),
    inference(rat,[],[s46,s688,s628,s27,s270,s675,s102,s144,s145,s52,s666,s708,s265,s742,s660,s685,s709,s740]) ).

cnf(s752,plain,
    ( spl0_35
    | spl0_2
    | ~ spl0_25 ),
    inference(rat,[],[s507,s551,s94,s95,s96,s15,s35,s437,s654,s92,s136,s137,s44,s678,s667,s719,s708,s660,s685,s740]) ).

cnf(s753,plain,
    ( spl0_37
    | ~ spl0_25
    | spl0_9 ),
    inference(rat,[],[s52,s666,s675,s265,s27,s667,s660,s685,s740]) ).

cnf(s754,plain,
    ( spl0_28
    | ~ spl0_16
    | ~ spl0_37 ),
    inference(rat,[],[s507,s551,s94,s95,s96]) ).

cnf(s755,plain,
    ( ~ spl0_42
    | ~ spl0_29 ),
    inference(rat,[],[s497,s80,s127,s128]) ).

cnf(s756,plain,
    ( spl0_55
    | ~ spl0_43 ),
    inference(rat,[],[s546,s85,s86,s131]) ).

cnf(s757,plain,
    ( ~ spl0_26
    | ~ spl0_21 ),
    inference(rat,[],[s270,s628,s102,s144,s145,s709]) ).

cnf(s758,plain,
    ( ~ spl0_25
    | spl0_9
    | ~ spl0_8 ),
    inference(rat,[],[s10,s265,s666,s52,s757,s46,s756,s29,s755,s15,s754,s726,s35,s437,s654,s92,s136,s137,s44,s678,s753,s752,s751,s663,s660,s685,s740]) ).

cnf(s759,plain,
    ( spl0_44
    | ~ spl0_8 ),
    inference(rat,[],[s328,s638,s153,s154,s155,s740]) ).

cnf(s760,plain,
    ( spl0_35
    | spl0_9
    | ~ spl0_8 ),
    inference(rat,[],[s543,s507,s94,s95,s96,s15,s658,s31,s32,s731,s673,s13,s744,s719,s708,s38,s255,s98,s140,s42,s759,s758,s714,s685,s746,s709]) ).

cnf(s761,plain,
    ( ~ spl0_2
    | spl0_9
    | ~ spl0_8 ),
    inference(rat,[],[s688,s46,s27,s757,s675,s52,s666,s265,s744,s693,s760,s685,s740]) ).

cnf(s762,plain,
    ( spl0_9
    | ~ spl0_8 ),
    inference(rat,[],[s757,s46,s14,s756,s658,s31,s32,s673,s13,s761,s726,s760,s38,s255,s98,s140,s42,s758,s714,s759,s685,s746,s709]) ).

cnf(s764,plain,
    ( ~ spl0_2
    | ~ spl0_25
    | ~ spl0_9 ),
    inference(rat,[],[s277,s343,s100,s143,s200,s688,s265,s742,s58,s733,s663,s740,s685]) ).

cnf(s765,plain,
    ( spl0_53
    | ~ spl0_9 ),
    inference(rat,[],[s236,s525,s92,s136,s137,s740]) ).

cnf(s766,plain,
    ( ~ spl0_25
    | ~ spl0_9 ),
    inference(rat,[],[s678,s44,s58,s764,s733,s663,s765,s685,s740]) ).

cnf(s767,plain,
    ( ~ spl0_2
    | ~ spl0_8 ),
    inference(rat,[],[s200,s688,s687,s265,s37,s689,s678,s58,s694,s712,s255,s98,s140,s42,s766,s762,s759,s740,s685,s709]) ).

cnf(s768,plain,
    ~ spl0_8,
    inference(rat,[],[s547,s415,s31,s87,s88,s132,s673,s44,s13,s767,s766,s765,s762,s709,s746,s685]) ).

cnf(s769,plain,
    spl0_9,
    inference(rat,[],[s26,s685,s768,s746]) ).

cnf(s770,plain,
    ~ spl0_38,
    inference(rat,[],[s652,s769]) ).

cnf(s771,plain,
    spl0_53,
    inference(rat,[],[s765,s769]) ).

cnf(s773,plain,
    spl0_37,
    inference(rat,[],[s28,s768,s685,s770]) ).

cnf(s775,plain,
    spl0_33,
    inference(rat,[],[s678,s773]) ).

cnf(s779,plain,
    spl0_2,
    inference(rat,[],[s44,s685,s771,s775]) ).

cnf(s783,plain,
    spl0_19,
    inference(rat,[],[s694,s740,s779]) ).

cnf(s784,plain,
    spl0_18,
    inference(rat,[],[s689,s773,s783,s779]) ).

cnf(s787,plain,
    ~ spl0_56,
    inference(rat,[],[s51,s768,s685,s783]) ).

cnf(s789,plain,
    spl0_35,
    inference(rat,[],[s708,s784]) ).

cnf(s791,plain,
    ~ spl0_136,
    inference(rat,[],[s135,s787]) ).

cnf(s792,plain,
    ~ spl0_90,
    inference(rat,[],[s91,s787]) ).

cnf(s798,plain,
    spl0_4,
    inference(rat,[],[s40,s770,s685,s789]) ).

cnf(s801,plain,
    spl0_169,
    inference(rat,[],[s278,s791,s769,s792]) ).

cnf(s803,plain,
    spl0_44,
    inference(rat,[],[s657,s798]) ).

cnf(s807,plain,
    ~ spl0_12,
    inference(rat,[],[s313,s792,s791,s801]) ).

cnf(s813,plain,
    $false,
    inference(rat,[],[s47,s771,s685,s803,s807]) ).

fof(f2946,plain,
    $false,
    inference(avatar_sat_refutation,[],[s813]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN476-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19  % Computer : n002.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 16:14:07 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23  Running first-order model finding
% 0.09/0.23  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.32  % (482302)Will run a generic schedule for satisfiability detection.
% 0.19/0.32  % (482310)dis+10_1_sil=32000:sp=arity:random_seed=1191906266:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.32  % (482308)% WARNING: option uhcvi not known.
% 0.19/0.32  % (482307)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2473880039_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.32  % (482308)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3520670560:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.32  % (482309)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2648368787:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.32  % (482312)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1083051340:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.32  % (482311)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=496413357:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.32  % (482313)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2513200386:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.32  % Detected minimum model sizes of [1]
% 0.19/0.32  % Detected maximum model sizes of [32]
% 0.19/0.32  % TRYING [1]
% 0.19/0.32  % TRYING [2]
% 0.19/0.32  % TRYING [3]
% 0.19/0.32  % TRYING [4]
% 0.19/0.32  % (482310)Instruction limit reached! 
% 0.19/0.32  % (482310)------------------------------
% 0.19/0.32  % (482310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.32  % (482310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.32  % (482310)CaDiCaL version: 2.1.3
% 0.19/0.32  % (482310)Termination reason: Instruction limit
% 0.19/0.32  % (482310)Termination phase: Saturation
% 0.19/0.32  % (482310)Time elapsed: 0.038 s
% 0.19/0.32  % (482310)Peak memory usage: 13 MB
% 0.19/0.32  % (482310)Instructions burned: 105 (million)
% 0.19/0.32  % (482313) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-482302-482313"...
% 0.19/0.32  % (482321)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2492153489:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.19/0.32  % Detected minimum model sizes of [1]
% 0.19/0.32  % Detected maximum model sizes of [32]
% 0.19/0.32  % TRYING [1]
% 0.19/0.32  % TRYING [2]
% 0.19/0.32  % (482313)...printing done.
% 0.19/0.32  % TRYING [3]
% 0.19/0.32  % (482313)Refutation found. Thanks to Tanya!
% 0.19/0.32  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.32  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.33  % (482313)------------------------------
% 0.19/0.33  % (482313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.33  % (482313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.33  % (482313)CaDiCaL version: 2.1.3
% 0.19/0.33  % (482313)Termination reason: Refutation
% 0.19/0.33  % (482313)Time elapsed: 0.042 s
% 0.19/0.33  % (482313)Peak memory usage: 13 MB
% 0.19/0.33  % (482313)Instructions burned: 66 (million)
% 0.19/0.33  % (482302)Success in time 0.082 s
% 0.19/0.33  % Vampire exiting
%------------------------------------------------------------------------------