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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN500-1 : 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 : n003.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 02:15:16 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,
    ( hskp27
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f4,negated_conjecture,
    ( ~ hskp27
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

fof(f22,negated_conjecture,
    ( ~ hskp9
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).

fof(f32,negated_conjecture,
    ( hskp14
    | hskp20
    | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).

fof(f33,negated_conjecture,
    ( hskp29
    | hskp24
    | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

fof(f35,negated_conjecture,
    ( hskp1
    | hskp27
    | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

fof(f36,negated_conjecture,
    ( hskp17
    | hskp22
    | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f37,negated_conjecture,
    ( hskp11
    | hskp0
    | hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( hskp11
    | hskp21
    | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ( ~ hskp29
    | c0_1(a77) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ( ~ hskp29
    | c2_1(a77) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ( ~ hskp29
    | c3_1(a77) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( ~ hskp28
    | c0_1(a23) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( ~ hskp28
    | c1_1(a23) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp28
    | c2_1(a23) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp27
    | c1_1(a13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp27
    | c2_1(a13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp27
    | c3_1(a13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp26
    | c0_1(a4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp26
    | c1_1(a4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( ~ hskp26
    | c3_1(a4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp25
    | c0_1(a73) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp25
    | c2_1(a73) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( ~ hskp24
    | c1_1(a64) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( ~ hskp24
    | c3_1(a64) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f55,negated_conjecture,
    ( ~ hskp23
    | c2_1(a63) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( ~ hskp22
    | c1_1(a48) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( ~ hskp21
    | c2_1(a47) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( ~ hskp21
    | c3_1(a47) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp20
    | c0_1(a43) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp20
    | c1_1(a43) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp19
    | c2_1(a40) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp18
    | c0_1(a39) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp18
    | c3_1(a39) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp17
    | c0_1(a33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( ~ hskp16
    | c0_1(a32) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( ~ hskp16
    | c2_1(a32) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( ~ hskp15
    | c2_1(a28) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp15
    | c3_1(a28) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp14
    | c0_1(a25) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp14
    | c1_1(a25) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp13
    | c3_1(a22) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp11
    | c1_1(a19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp11
    | c2_1(a19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f78,negated_conjecture,
    ( ~ hskp5
    | c1_1(a8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp3
    | c2_1(a5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp2
    | c3_1(a3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp1
    | c0_1(a2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp0
    | c1_1(a1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ hskp0
    | c3_1(a1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ c3_1(a73)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ c0_1(a64)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( ~ c1_1(a63)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ c3_1(a63)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ c0_1(a48)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ c3_1(a48)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ c0_1(a47)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( ~ c3_1(a43)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ c0_1(a40)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ c3_1(a40)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ c1_1(a39)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ c1_1(a33)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ c3_1(a33)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ c1_1(a32)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ c1_1(a28)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c2_1(a25)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c0_1(a22)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ c1_1(a22)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ c0_1(a20)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ c2_1(a20)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ c3_1(a20)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ c0_1(a19)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c1_1(a18)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c2_1(a18)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c3_1(a18)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ c0_1(a15)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c1_1(a15)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ c2_1(a15)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f117,negated_conjecture,
    ( ~ c2_1(a8)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c3_1(a8)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ c0_1(a7)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ c1_1(a7)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c3_1(a7)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c0_1(a5)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ c1_1(a5)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ c1_1(a3)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ c2_1(a3)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ c1_1(a2)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ c2_1(a2)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ c2_1(a1)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | hskp26
      | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp1
      | hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f133,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f136,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp1
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f139,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp15
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

fof(f140,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp1
      | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp26
      | hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp24
      | hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f144,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp26
      | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp17
      | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp18
      | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f149,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp11
      | hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f153,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f154,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f155,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f158,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f159,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f160,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f161,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f165,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f166,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f168,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f170,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f171,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f172,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f173,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f175,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f177,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f178,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c0_1(X1)
      | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f181,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f182,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c2_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X2)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

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

fof(f186,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f187,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

fof(f188,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

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

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

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

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

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

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

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

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

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

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

fof(f201,plain,
    ( ~ hskp27
    | hskp9 ),
    inference(consistent_polarity_flipping,[],[f1]) ).

fof(f204,plain,
    ( hskp27
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f4]) ).

fof(f222,plain,
    ( ~ hskp9
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f232,plain,
    ( ~ hskp14
    | hskp20
    | hskp12 ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f233,plain,
    ( ~ hskp29
    | hskp24
    | ~ hskp19 ),
    inference(consistent_polarity_flipping,[],[f33]) ).

fof(f235,plain,
    ( hskp1
    | ~ hskp27
    | ~ hskp4 ),
    inference(consistent_polarity_flipping,[],[f35]) ).

fof(f236,plain,
    ( hskp17
    | ~ hskp22
    | ~ hskp19 ),
    inference(consistent_polarity_flipping,[],[f36]) ).

fof(f237,plain,
    ( ~ hskp11
    | ~ hskp0
    | ~ hskp22 ),
    inference(consistent_polarity_flipping,[],[f37]) ).

fof(f238,plain,
    ( ~ hskp11
    | ~ hskp21
    | hskp12 ),
    inference(consistent_polarity_flipping,[],[f38]) ).

fof(f239,plain,
    ( hskp29
    | c0_1(a77) ),
    inference(consistent_polarity_flipping,[],[f39]) ).

fof(f240,plain,
    ( hskp29
    | ~ c2_1(a77) ),
    inference(consistent_polarity_flipping,[],[f40]) ).

fof(f241,plain,
    ( hskp29
    | ~ c3_1(a77) ),
    inference(consistent_polarity_flipping,[],[f41]) ).

fof(f242,plain,
    ( hskp28
    | c0_1(a23) ),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f243,plain,
    ( hskp28
    | ~ c1_1(a23) ),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f244,plain,
    ( hskp28
    | ~ c2_1(a23) ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f245,plain,
    ( hskp27
    | ~ c1_1(a13) ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f246,plain,
    ( hskp27
    | ~ c2_1(a13) ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f247,plain,
    ( hskp27
    | ~ c3_1(a13) ),
    inference(consistent_polarity_flipping,[],[f47]) ).

fof(f248,plain,
    ( hskp26
    | c0_1(a4) ),
    inference(consistent_polarity_flipping,[],[f48]) ).

fof(f249,plain,
    ( hskp26
    | ~ c1_1(a4) ),
    inference(consistent_polarity_flipping,[],[f49]) ).

fof(f250,plain,
    ( hskp26
    | ~ c3_1(a4) ),
    inference(consistent_polarity_flipping,[],[f50]) ).

fof(f251,plain,
    ( hskp25
    | c0_1(a73) ),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f252,plain,
    ( hskp25
    | ~ c2_1(a73) ),
    inference(consistent_polarity_flipping,[],[f52]) ).

fof(f253,plain,
    ( ~ hskp24
    | ~ c1_1(a64) ),
    inference(consistent_polarity_flipping,[],[f53]) ).

fof(f254,plain,
    ( ~ hskp24
    | ~ c3_1(a64) ),
    inference(consistent_polarity_flipping,[],[f54]) ).

fof(f255,plain,
    ( ~ hskp23
    | ~ c2_1(a63) ),
    inference(consistent_polarity_flipping,[],[f55]) ).

fof(f256,plain,
    ( hskp22
    | ~ c1_1(a48) ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f257,plain,
    ( hskp21
    | ~ c2_1(a47) ),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f258,plain,
    ( hskp21
    | ~ c3_1(a47) ),
    inference(consistent_polarity_flipping,[],[f58]) ).

fof(f259,plain,
    ( ~ hskp20
    | ~ c1_1(a43) ),
    inference(consistent_polarity_flipping,[],[f60]) ).

fof(f260,plain,
    ( hskp19
    | ~ c2_1(a40) ),
    inference(consistent_polarity_flipping,[],[f61]) ).

fof(f261,plain,
    ( ~ hskp18
    | ~ c3_1(a39) ),
    inference(consistent_polarity_flipping,[],[f63]) ).

fof(f262,plain,
    ( hskp16
    | c0_1(a32) ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f263,plain,
    ( hskp16
    | ~ c2_1(a32) ),
    inference(consistent_polarity_flipping,[],[f66]) ).

fof(f264,plain,
    ( ~ hskp15
    | ~ c2_1(a28) ),
    inference(consistent_polarity_flipping,[],[f67]) ).

fof(f265,plain,
    ( ~ hskp15
    | ~ c3_1(a28) ),
    inference(consistent_polarity_flipping,[],[f68]) ).

fof(f266,plain,
    ( hskp14
    | c0_1(a25) ),
    inference(consistent_polarity_flipping,[],[f69]) ).

fof(f267,plain,
    ( hskp14
    | ~ c1_1(a25) ),
    inference(consistent_polarity_flipping,[],[f70]) ).

fof(f268,plain,
    ( hskp13
    | ~ c3_1(a22) ),
    inference(consistent_polarity_flipping,[],[f71]) ).

fof(f269,plain,
    ( hskp11
    | ~ c1_1(a19) ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f270,plain,
    ( hskp11
    | ~ c2_1(a19) ),
    inference(consistent_polarity_flipping,[],[f73]) ).

fof(f274,plain,
    ( ~ hskp5
    | ~ c1_1(a8) ),
    inference(consistent_polarity_flipping,[],[f78]) ).

fof(f275,plain,
    ( hskp3
    | ~ c2_1(a5) ),
    inference(consistent_polarity_flipping,[],[f79]) ).

fof(f276,plain,
    ( ~ hskp2
    | ~ c3_1(a3) ),
    inference(consistent_polarity_flipping,[],[f80]) ).

fof(f277,plain,
    ( hskp0
    | ~ c1_1(a1) ),
    inference(consistent_polarity_flipping,[],[f82]) ).

fof(f278,plain,
    ( hskp0
    | ~ c3_1(a1) ),
    inference(consistent_polarity_flipping,[],[f83]) ).

fof(f279,plain,
    ( c3_1(a73)
    | hskp25 ),
    inference(consistent_polarity_flipping,[],[f84]) ).

fof(f280,plain,
    ( c1_1(a63)
    | ~ hskp23 ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f281,plain,
    ( c3_1(a63)
    | ~ hskp23 ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f282,plain,
    ( ~ c0_1(a48)
    | hskp22 ),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f283,plain,
    ( c3_1(a48)
    | hskp22 ),
    inference(consistent_polarity_flipping,[],[f89]) ).

fof(f284,plain,
    ( ~ c0_1(a47)
    | hskp21 ),
    inference(consistent_polarity_flipping,[],[f90]) ).

fof(f285,plain,
    ( c3_1(a43)
    | ~ hskp20 ),
    inference(consistent_polarity_flipping,[],[f91]) ).

fof(f286,plain,
    ( ~ c0_1(a40)
    | hskp19 ),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f287,plain,
    ( c3_1(a40)
    | hskp19 ),
    inference(consistent_polarity_flipping,[],[f93]) ).

fof(f288,plain,
    ( c1_1(a39)
    | ~ hskp18 ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f289,plain,
    ( c1_1(a33)
    | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f290,plain,
    ( c3_1(a33)
    | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f291,plain,
    ( c1_1(a32)
    | hskp16 ),
    inference(consistent_polarity_flipping,[],[f97]) ).

fof(f292,plain,
    ( c1_1(a28)
    | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f98]) ).

fof(f293,plain,
    ( c2_1(a25)
    | hskp14 ),
    inference(consistent_polarity_flipping,[],[f99]) ).

fof(f294,plain,
    ( ~ c0_1(a22)
    | hskp13 ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f295,plain,
    ( c1_1(a22)
    | hskp13 ),
    inference(consistent_polarity_flipping,[],[f101]) ).

fof(f296,plain,
    ( c2_1(a20)
    | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f103]) ).

fof(f297,plain,
    ( c3_1(a20)
    | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f104]) ).

fof(f298,plain,
    ( ~ c0_1(a19)
    | hskp11 ),
    inference(consistent_polarity_flipping,[],[f105]) ).

fof(f299,plain,
    ( c1_1(a18)
    | hskp10 ),
    inference(consistent_polarity_flipping,[],[f106]) ).

fof(f300,plain,
    ( c2_1(a18)
    | hskp10 ),
    inference(consistent_polarity_flipping,[],[f107]) ).

fof(f301,plain,
    ( c3_1(a18)
    | hskp10 ),
    inference(consistent_polarity_flipping,[],[f108]) ).

fof(f302,plain,
    ( c1_1(a15)
    | ~ hskp9 ),
    inference(consistent_polarity_flipping,[],[f110]) ).

fof(f303,plain,
    ( c2_1(a15)
    | ~ hskp9 ),
    inference(consistent_polarity_flipping,[],[f111]) ).

fof(f308,plain,
    ( c2_1(a8)
    | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f117]) ).

fof(f309,plain,
    ( c3_1(a8)
    | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f118]) ).

fof(f310,plain,
    ( ~ c0_1(a7)
    | hskp4 ),
    inference(consistent_polarity_flipping,[],[f119]) ).

fof(f311,plain,
    ( c1_1(a7)
    | hskp4 ),
    inference(consistent_polarity_flipping,[],[f120]) ).

fof(f312,plain,
    ( c3_1(a7)
    | hskp4 ),
    inference(consistent_polarity_flipping,[],[f121]) ).

fof(f313,plain,
    ( ~ c0_1(a5)
    | hskp3 ),
    inference(consistent_polarity_flipping,[],[f122]) ).

fof(f314,plain,
    ( c1_1(a5)
    | hskp3 ),
    inference(consistent_polarity_flipping,[],[f123]) ).

fof(f315,plain,
    ( c1_1(a3)
    | ~ hskp2 ),
    inference(consistent_polarity_flipping,[],[f124]) ).

fof(f316,plain,
    ( c2_1(a3)
    | ~ hskp2 ),
    inference(consistent_polarity_flipping,[],[f125]) ).

fof(f317,plain,
    ( c1_1(a2)
    | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f126]) ).

fof(f318,plain,
    ( c2_1(a2)
    | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f127]) ).

fof(f319,plain,
    ( c2_1(a1)
    | hskp0 ),
    inference(consistent_polarity_flipping,[],[f128]) ).

fof(f320,plain,
    ! [X0] :
      ( ndr1_0
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ hskp26
      | ~ hskp3 ),
    inference(consistent_polarity_flipping,[],[f129]) ).

fof(f321,plain,
    ! [X0] :
      ( ndr1_0
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | hskp1
      | ~ hskp27 ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f324,plain,
    ! [X0] :
      ( c1_1(X0)
      | ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ hskp19 ),
    inference(consistent_polarity_flipping,[],[f133]) ).

fof(f327,plain,
    ! [X0] :
      ( c1_1(X0)
      | ndr1_0
      | c0_1(X0)
      | ~ c2_1(X0)
      | hskp1
      | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f136]) ).

fof(f330,plain,
    ! [X0] :
      ( c2_1(X0)
      | ndr1_0
      | c0_1(X0)
      | ~ c3_1(X0)
      | hskp15
      | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f139]) ).

fof(f331,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | hskp1
      | hskp17 ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f333,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ hskp26
      | hskp23 ),
    inference(consistent_polarity_flipping,[],[f142]) ).

fof(f334,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | hskp24
      | ~ hskp22 ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f335,plain,
    ! [X0] :
      ( c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c0_1(X0)
      | ~ hskp26
      | ~ hskp16 ),
    inference(consistent_polarity_flipping,[],[f144]) ).

fof(f336,plain,
    ! [X0] :
      ( c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c0_1(X0)
      | hskp17
      | hskp5 ),
    inference(consistent_polarity_flipping,[],[f145]) ).

fof(f339,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | ndr1_0
      | ~ c1_1(X0)
      | hskp18
      | ~ hskp19 ),
    inference(consistent_polarity_flipping,[],[f148]) ).

fof(f340,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | ndr1_0
      | ~ c1_1(X0)
      | ~ hskp11
      | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f149]) ).

fof(f344,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ hskp25 ),
    inference(consistent_polarity_flipping,[],[f153]) ).

fof(f345,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f154]) ).

fof(f346,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c0_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | hskp1 ),
    inference(consistent_polarity_flipping,[],[f155]) ).

fof(f349,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | ndr1_0
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | hskp20 ),
    inference(consistent_polarity_flipping,[],[f158]) ).

fof(f350,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | ndr1_0
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | hskp1 ),
    inference(consistent_polarity_flipping,[],[f159]) ).

fof(f351,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c3_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | hskp5 ),
    inference(consistent_polarity_flipping,[],[f160]) ).

fof(f352,plain,
    ! [X0,X1] :
      ( c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c3_1(X1)
      | ~ c1_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | hskp2 ),
    inference(consistent_polarity_flipping,[],[f161]) ).

fof(f356,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ndr1_0
      | c1_1(X1)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X1)
      | ~ hskp3 ),
    inference(consistent_polarity_flipping,[],[f165]) ).

fof(f357,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ndr1_0
      | c1_1(X1)
      | c3_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X1)
      | hskp15 ),
    inference(consistent_polarity_flipping,[],[f166]) ).

fof(f359,plain,
    ! [X0,X1] :
      ( c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ hskp22 ),
    inference(consistent_polarity_flipping,[],[f168]) ).

fof(f360,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | hskp20 ),
    inference(consistent_polarity_flipping,[],[f169]) ).

fof(f361,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c1_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f362,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c1_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ hskp28 ),
    inference(consistent_polarity_flipping,[],[f171]) ).

fof(f363,plain,
    ! [X0,X1] :
      ( c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | hskp12 ),
    inference(consistent_polarity_flipping,[],[f172]) ).

fof(f364,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ndr1_0
      | c1_1(X1)
      | c3_1(X1)
      | ~ c3_1(X0)
      | c0_1(X1)
      | hskp18 ),
    inference(consistent_polarity_flipping,[],[f173]) ).

fof(f365,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f174]) ).

fof(f366,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | hskp12 ),
    inference(consistent_polarity_flipping,[],[f175]) ).

fof(f368,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f177]) ).

fof(f369,plain,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c0_1(X2)
      | ~ c1_1(X2)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f178]) ).

fof(f370,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | ~ hskp19 ),
    inference(consistent_polarity_flipping,[],[f179]) ).

fof(f372,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ndr1_0
      | c2_1(X1)
      | c3_1(X2)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c0_1(X2)
      | ~ c1_1(X2) ),
    inference(consistent_polarity_flipping,[],[f181]) ).

fof(f373,plain,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c0_1(X2)
      | ~ c2_1(X2)
      | ~ c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f374,plain,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | c1_1(X2)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c0_1(X2)
      | ~ c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f183]) ).

fof(f375,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c1_1(X1)
      | c3_1(X1)
      | ~ c1_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | ~ c1_1(X2)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f184]) ).

fof(f377,plain,
    ! [X2,X0,X1] :
      ( c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c1_1(X1)
      | c3_1(X2)
      | ~ c1_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | c0_1(X2)
      | ~ c1_1(X2) ),
    inference(consistent_polarity_flipping,[],[f186]) ).

fof(f378,plain,
    ! [X2,X0,X1] :
      ( c2_1(X0)
      | ndr1_0
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | ~ c1_1(X2) ),
    inference(consistent_polarity_flipping,[],[f187]) ).

fof(f379,plain,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c2_1(X1)
      | c3_1(X1)
      | ~ c1_1(X1)
      | c0_1(X2)
      | ~ c1_1(X2)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f188]) ).

fof(f381,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ndr1_0
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X2)
      | ~ c2_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | ~ c1_1(X2) ),
    inference(consistent_polarity_flipping,[],[f190]) ).

fof(f382,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | c2_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c0_1(X2)
      | ~ c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f191]) ).

fof(f383,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | c2_1(X1)
      | ~ c0_1(X2)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f192]) ).

fof(f384,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ndr1_0
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X2)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f193]) ).

fof(f385,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | c3_1(X1)
      | c2_1(X2)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2)
      | ~ c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f194]) ).

fof(f386,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | c2_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | ~ c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f195]) ).

fof(f387,plain,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c2_1(X1)
      | c3_1(X1)
      | c1_1(X2)
      | c3_1(X2)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | c0_1(X2) ),
    inference(consistent_polarity_flipping,[],[f196]) ).

fof(f389,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | c3_1(X1)
      | c2_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X2)
      | ~ c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f198]) ).

fof(f390,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ndr1_0
      | c2_1(X1)
      | c3_1(X1)
      | ~ c0_1(X2)
      | c2_1(X2)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(consistent_polarity_flipping,[],[f199]) ).

fof(f391,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c2_1(X1)
      | c3_1(X1)
      | ~ c0_1(X2)
      | c2_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(consistent_polarity_flipping,[],[f200]) ).

fof(f393,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c1_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f394,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c0_1(X2)
        | c2_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f396,definition,
    ( spl0_2
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f397,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f399,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f403,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f404,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f405,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f391,f403,f399,f396,f393]) ).

fof(f407,definition,
    ( spl0_5
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f408,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f409,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f390,f407,f399,f396,f393]) ).

fof(f411,definition,
    ( spl0_6
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c3_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f412,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c3_1(X2)
        | c2_1(X2) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f414,definition,
    ( spl0_7
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f415,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f417,definition,
    ( spl0_8
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f418,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f419,plain,
    ( spl0_6
    | spl0_7
    | spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f389,f417,f399,f414,f411]) ).

fof(f421,definition,
    ( spl0_9
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f422,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c2_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f424,definition,
    ( spl0_10
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f425,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f428,definition,
    ( spl0_11
  <=> ! [X2] :
        ( c1_1(X2)
        | c0_1(X2)
        | c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f429,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c0_1(X2)
        | c3_1(X2) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f431,definition,
    ( spl0_12
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f432,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f433,plain,
    ( spl0_11
    | spl0_2
    | spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f387,f431,f399,f396,f428]) ).

fof(f435,definition,
    ( spl0_13
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f436,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f437,plain,
    ( spl0_6
    | spl0_13
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f386,f403,f399,f435,f411]) ).

fof(f439,definition,
    ( spl0_14
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f440,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f441,plain,
    ( spl0_6
    | spl0_14
    | spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f385,f407,f399,f439,f411]) ).

fof(f443,definition,
    ( spl0_15
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f444,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c2_1(X2)
        | c3_1(X2) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f446,definition,
    ( spl0_16
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f447,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f448,plain,
    ( spl0_15
    | spl0_2
    | spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f384,f446,f399,f396,f443]) ).

fof(f449,plain,
    ( spl0_9
    | spl0_1
    | spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f383,f414,f399,f393,f421]) ).

fof(f451,definition,
    ( spl0_17
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f452,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f453,plain,
    ( spl0_17
    | spl0_13
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f382,f403,f399,f435,f451]) ).

fof(f455,definition,
    ( spl0_18
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f456,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f458,definition,
    ( spl0_19
  <=> ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f459,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f460,plain,
    ( spl0_18
    | spl0_19
    | spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f381,f407,f399,f458,f455]) ).

fof(f466,definition,
    ( spl0_21
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f467,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f469,definition,
    ( spl0_22
  <=> ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f470,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f471,plain,
    ( spl0_21
    | spl0_2
    | spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f379,f469,f399,f396,f466]) ).

fof(f472,plain,
    ( spl0_18
    | spl0_19
    | spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f378,f411,f399,f458,f455]) ).

fof(f474,definition,
    ( spl0_23
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f475,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f476,plain,
    ( spl0_18
    | spl0_23
    | spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f377,f396,f399,f474,f455]) ).

fof(f481,plain,
    ( spl0_21
    | spl0_11
    | spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f375,f439,f399,f428,f466]) ).

fof(f483,definition,
    ( spl0_25
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f484,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | ~ c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f486,definition,
    ( spl0_26
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f487,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f489,definition,
    ( spl0_27
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f490,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f491,plain,
    ( spl0_25
    | spl0_26
    | spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f374,f489,f399,f486,f483]) ).

fof(f493,definition,
    ( spl0_28
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f494,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f495,plain,
    ( spl0_28
    | spl0_6
    | spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f373,f431,f399,f411,f493]) ).

fof(f496,plain,
    ( spl0_18
    | spl0_6
    | spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f372,f435,f399,f411,f455]) ).

fof(f498,definition,
    ( spl0_29
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c3_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f499,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f502,definition,
    ( spl0_30
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f505,plain,
    ( ~ spl0_30
    | spl0_19
    | spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f370,f424,f399,f458,f502]) ).

fof(f507,definition,
    ( spl0_31
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f508,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f509,plain,
    ( spl0_21
    | spl0_31
    | spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f369,f489,f399,f507,f466]) ).

fof(f511,definition,
    ( spl0_32
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f514,plain,
    ( ~ spl0_32
    | spl0_13
    | spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f368,f417,f399,f435,f511]) ).

fof(f524,definition,
    ( spl0_35
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f527,plain,
    ( spl0_35
    | spl0_1
    | spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f366,f446,f399,f393,f524]) ).

fof(f529,definition,
    ( spl0_36
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f532,plain,
    ( ~ spl0_36
    | spl0_15
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f365,f403,f399,f443,f529]) ).

fof(f534,definition,
    ( spl0_37
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f537,plain,
    ( spl0_37
    | spl0_11
    | spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f364,f446,f399,f428,f534]) ).

fof(f538,plain,
    ( spl0_35
    | spl0_11
    | spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f363,f458,f399,f428,f524]) ).

fof(f540,definition,
    ( spl0_38
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f543,plain,
    ( ~ spl0_38
    | spl0_25
    | spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f362,f469,f399,f483,f540]) ).

fof(f544,plain,
    ( ~ spl0_32
    | spl0_25
    | spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f361,f417,f399,f483,f511]) ).

fof(f546,definition,
    ( spl0_39
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f549,plain,
    ( spl0_39
    | spl0_13
    | spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f360,f431,f399,f435,f546]) ).

fof(f551,definition,
    ( spl0_40
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f554,plain,
    ( ~ spl0_40
    | spl0_26
    | spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f359,f396,f399,f486,f551]) ).

fof(f557,definition,
    ( spl0_41
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f560,plain,
    ( spl0_41
    | spl0_11
    | spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f357,f435,f399,f428,f557]) ).

fof(f562,definition,
    ( spl0_42
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f566,definition,
    ( spl0_43
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f567,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f568,plain,
    ( ~ spl0_42
    | spl0_43
    | spl0_3
    | spl0_26 ),
    inference(avatar_split_clause,[],[f356,f486,f399,f566,f562]) ).

fof(f570,definition,
    ( spl0_44
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f580,definition,
    ( spl0_46
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f583,plain,
    ( spl0_46
    | spl0_18
    | spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f352,f396,f399,f455,f580]) ).

fof(f585,definition,
    ( spl0_47
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f588,plain,
    ( spl0_47
    | spl0_18
    | spl0_3
    | spl0_43 ),
    inference(avatar_split_clause,[],[f351,f566,f399,f455,f585]) ).

fof(f590,definition,
    ( spl0_48
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f593,plain,
    ( spl0_48
    | spl0_6
    | spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f350,f489,f399,f411,f590]) ).

fof(f594,plain,
    ( spl0_39
    | spl0_31
    | spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f349,f393,f399,f507,f546]) ).

fof(f596,definition,
    ( spl0_49
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f601,plain,
    ( spl0_48
    | spl0_29
    | spl0_3
    | spl0_43 ),
    inference(avatar_split_clause,[],[f346,f566,f399,f498,f590]) ).

fof(f603,definition,
    ( spl0_50
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f606,plain,
    ( ~ spl0_50
    | spl0_21
    | spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f345,f489,f399,f466,f603]) ).

fof(f608,definition,
    ( spl0_51
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f611,plain,
    ( ~ spl0_51
    | spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f344,f417,f399,f608]) ).

fof(f620,definition,
    ( spl0_53
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f623,plain,
    ( ~ spl0_36
    | ~ spl0_53
    | spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f340,f393,f399,f620,f529]) ).

fof(f624,plain,
    ( ~ spl0_30
    | spl0_37
    | spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f339,f393,f399,f534,f502]) ).

fof(f627,definition,
    ( spl0_54
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f632,definition,
    ( spl0_55
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f635,plain,
    ( spl0_47
    | spl0_55
    | spl0_3
    | spl0_43 ),
    inference(avatar_split_clause,[],[f336,f566,f399,f632,f585]) ).

fof(f637,definition,
    ( spl0_56
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f641,definition,
    ( spl0_57
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f644,plain,
    ( ~ spl0_56
    | ~ spl0_57
    | spl0_3
    | spl0_43 ),
    inference(avatar_split_clause,[],[f335,f566,f399,f641,f637]) ).

fof(f646,definition,
    ( spl0_58
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f649,plain,
    ( ~ spl0_40
    | spl0_58
    | spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f334,f435,f399,f646,f551]) ).

fof(f651,definition,
    ( spl0_59
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f654,plain,
    ( spl0_59
    | ~ spl0_57
    | spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f333,f435,f399,f641,f651]) ).

fof(f656,definition,
    ( spl0_60
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f660,plain,
    ( spl0_55
    | spl0_48
    | spl0_3
    | spl0_26 ),
    inference(avatar_split_clause,[],[f331,f486,f399,f590,f632]) ).

fof(f661,plain,
    ( ~ spl0_32
    | spl0_41
    | spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f330,f451,f399,f557,f511]) ).

fof(f664,plain,
    ( ~ spl0_54
    | spl0_48
    | spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f327,f474,f399,f590,f627]) ).

fof(f671,plain,
    ( ~ spl0_30
    | spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f324,f489,f399,f502]) ).

fof(f675,definition,
    ( spl0_62
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f678,plain,
    ( ~ spl0_62
    | spl0_48
    | spl0_28
    | spl0_3 ),
    inference(avatar_split_clause,[],[f321,f399,f493,f590,f675]) ).

fof(f679,plain,
    ( ~ spl0_42
    | ~ spl0_57
    | spl0_29
    | spl0_3 ),
    inference(avatar_split_clause,[],[f320,f399,f498,f641,f562]) ).

fof(f681,definition,
    ( spl0_63
  <=> c2_1(a1) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f684,plain,
    ( spl0_50
    | spl0_63 ),
    inference(avatar_split_clause,[],[f319,f681,f603]) ).

fof(f686,definition,
    ( spl0_64
  <=> c2_1(a2) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f688,plain,
    ( c2_1(a2)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f689,plain,
    ( ~ spl0_48
    | spl0_64 ),
    inference(avatar_split_clause,[],[f318,f686,f590]) ).

fof(f691,definition,
    ( spl0_65
  <=> c1_1(a2) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f693,plain,
    ( c1_1(a2)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f694,plain,
    ( ~ spl0_48
    | spl0_65 ),
    inference(avatar_split_clause,[],[f317,f691,f590]) ).

fof(f696,definition,
    ( spl0_66
  <=> c2_1(a3) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f699,plain,
    ( ~ spl0_46
    | spl0_66 ),
    inference(avatar_split_clause,[],[f316,f696,f580]) ).

fof(f701,definition,
    ( spl0_67
  <=> c1_1(a3) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f703,plain,
    ( c1_1(a3)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f704,plain,
    ( ~ spl0_46
    | spl0_67 ),
    inference(avatar_split_clause,[],[f315,f701,f580]) ).

fof(f706,definition,
    ( spl0_68
  <=> c1_1(a5) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f708,plain,
    ( c1_1(a5)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f709,plain,
    ( spl0_42
    | spl0_68 ),
    inference(avatar_split_clause,[],[f314,f706,f562]) ).

fof(f711,definition,
    ( spl0_69
  <=> c0_1(a5) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f714,plain,
    ( spl0_42
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f313,f711,f562]) ).

fof(f716,definition,
    ( spl0_70
  <=> c3_1(a7) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f718,plain,
    ( c3_1(a7)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f719,plain,
    ( spl0_49
    | spl0_70 ),
    inference(avatar_split_clause,[],[f312,f716,f596]) ).

fof(f721,definition,
    ( spl0_71
  <=> c1_1(a7) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f723,plain,
    ( c1_1(a7)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f724,plain,
    ( spl0_49
    | spl0_71 ),
    inference(avatar_split_clause,[],[f311,f721,f596]) ).

fof(f726,definition,
    ( spl0_72
  <=> c0_1(a7) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f729,plain,
    ( spl0_49
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f310,f726,f596]) ).

fof(f731,definition,
    ( spl0_73
  <=> c3_1(a8) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f734,plain,
    ( ~ spl0_47
    | spl0_73 ),
    inference(avatar_split_clause,[],[f309,f731,f585]) ).

fof(f736,definition,
    ( spl0_74
  <=> c2_1(a8) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f739,plain,
    ( ~ spl0_47
    | spl0_74 ),
    inference(avatar_split_clause,[],[f308,f736,f585]) ).

fof(f766,definition,
    ( spl0_80
  <=> c2_1(a15) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f769,plain,
    ( ~ spl0_60
    | spl0_80 ),
    inference(avatar_split_clause,[],[f303,f766,f656]) ).

fof(f771,definition,
    ( spl0_81
  <=> c1_1(a15) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f773,plain,
    ( c1_1(a15)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f774,plain,
    ( ~ spl0_60
    | spl0_81 ),
    inference(avatar_split_clause,[],[f302,f771,f656]) ).

fof(f776,definition,
    ( spl0_82
  <=> c0_1(a15) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f779,plain,
    ( ~ spl0_60
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f109,f776,f656]) ).

fof(f781,definition,
    ( spl0_83
  <=> c3_1(a18) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f783,plain,
    ( c3_1(a18)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f781]) ).

fof(f784,plain,
    ( spl0_54
    | spl0_83 ),
    inference(avatar_split_clause,[],[f301,f781,f627]) ).

fof(f786,definition,
    ( spl0_84
  <=> c2_1(a18) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f788,plain,
    ( c2_1(a18)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f789,plain,
    ( spl0_54
    | spl0_84 ),
    inference(avatar_split_clause,[],[f300,f786,f627]) ).

fof(f791,definition,
    ( spl0_85
  <=> c1_1(a18) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f793,plain,
    ( c1_1(a18)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f794,plain,
    ( spl0_54
    | spl0_85 ),
    inference(avatar_split_clause,[],[f299,f791,f627]) ).

fof(f796,definition,
    ( spl0_86
  <=> c0_1(a19) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f799,plain,
    ( spl0_53
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f298,f796,f620]) ).

fof(f801,definition,
    ( spl0_87
  <=> c3_1(a20) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f803,plain,
    ( c3_1(a20)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f804,plain,
    ( ~ spl0_35
    | spl0_87 ),
    inference(avatar_split_clause,[],[f297,f801,f524]) ).

fof(f806,definition,
    ( spl0_88
  <=> c2_1(a20) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f808,plain,
    ( c2_1(a20)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f809,plain,
    ( ~ spl0_35
    | spl0_88 ),
    inference(avatar_split_clause,[],[f296,f806,f524]) ).

fof(f811,definition,
    ( spl0_89
  <=> c0_1(a20) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f814,plain,
    ( ~ spl0_35
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f102,f811,f524]) ).

fof(f816,definition,
    ( spl0_90
  <=> c1_1(a22) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f818,plain,
    ( c1_1(a22)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f819,plain,
    ( spl0_32
    | spl0_90 ),
    inference(avatar_split_clause,[],[f295,f816,f511]) ).

fof(f821,definition,
    ( spl0_91
  <=> c0_1(a22) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f824,plain,
    ( spl0_32
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f294,f821,f511]) ).

fof(f826,definition,
    ( spl0_92
  <=> c2_1(a25) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f829,plain,
    ( spl0_44
    | spl0_92 ),
    inference(avatar_split_clause,[],[f293,f826,f570]) ).

fof(f831,definition,
    ( spl0_93
  <=> c1_1(a28) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f833,plain,
    ( c1_1(a28)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f834,plain,
    ( ~ spl0_41
    | spl0_93 ),
    inference(avatar_split_clause,[],[f292,f831,f557]) ).

fof(f836,definition,
    ( spl0_94
  <=> c1_1(a32) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f838,plain,
    ( c1_1(a32)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f839,plain,
    ( spl0_56
    | spl0_94 ),
    inference(avatar_split_clause,[],[f291,f836,f637]) ).

fof(f841,definition,
    ( spl0_95
  <=> c3_1(a33) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f843,plain,
    ( c3_1(a33)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f841]) ).

fof(f844,plain,
    ( ~ spl0_55
    | spl0_95 ),
    inference(avatar_split_clause,[],[f290,f841,f632]) ).

fof(f846,definition,
    ( spl0_96
  <=> c1_1(a33) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f848,plain,
    ( c1_1(a33)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f846]) ).

fof(f849,plain,
    ( ~ spl0_55
    | spl0_96 ),
    inference(avatar_split_clause,[],[f289,f846,f632]) ).

fof(f851,definition,
    ( spl0_97
  <=> c1_1(a39) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f853,plain,
    ( c1_1(a39)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f854,plain,
    ( ~ spl0_37
    | spl0_97 ),
    inference(avatar_split_clause,[],[f288,f851,f534]) ).

fof(f856,definition,
    ( spl0_98
  <=> c3_1(a40) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f858,plain,
    ( c3_1(a40)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f859,plain,
    ( spl0_30
    | spl0_98 ),
    inference(avatar_split_clause,[],[f287,f856,f502]) ).

fof(f861,definition,
    ( spl0_99
  <=> c0_1(a40) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f864,plain,
    ( spl0_30
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f286,f861,f502]) ).

fof(f866,definition,
    ( spl0_100
  <=> c3_1(a43) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f868,plain,
    ( c3_1(a43)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f869,plain,
    ( ~ spl0_39
    | spl0_100 ),
    inference(avatar_split_clause,[],[f285,f866,f546]) ).

fof(f871,definition,
    ( spl0_101
  <=> c0_1(a47) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f874,plain,
    ( spl0_36
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f284,f871,f529]) ).

fof(f876,definition,
    ( spl0_102
  <=> c3_1(a48) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f879,plain,
    ( spl0_40
    | spl0_102 ),
    inference(avatar_split_clause,[],[f283,f876,f551]) ).

fof(f881,definition,
    ( spl0_103
  <=> c0_1(a48) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f884,plain,
    ( spl0_40
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f282,f881,f551]) ).

fof(f886,definition,
    ( spl0_104
  <=> c3_1(a63) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f889,plain,
    ( ~ spl0_59
    | spl0_104 ),
    inference(avatar_split_clause,[],[f281,f886,f651]) ).

fof(f891,definition,
    ( spl0_105
  <=> c1_1(a63) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f893,plain,
    ( c1_1(a63)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f894,plain,
    ( ~ spl0_59
    | spl0_105 ),
    inference(avatar_split_clause,[],[f280,f891,f651]) ).

fof(f896,definition,
    ( spl0_106
  <=> c0_1(a64) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f899,plain,
    ( ~ spl0_58
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f85,f896,f646]) ).

fof(f901,definition,
    ( spl0_107
  <=> c3_1(a73) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f903,plain,
    ( c3_1(a73)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f904,plain,
    ( spl0_51
    | spl0_107 ),
    inference(avatar_split_clause,[],[f279,f901,f608]) ).

fof(f906,definition,
    ( spl0_108
  <=> c3_1(a1) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f908,plain,
    ( ~ c3_1(a1)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f909,plain,
    ( ~ spl0_108
    | spl0_50 ),
    inference(avatar_split_clause,[],[f278,f603,f906]) ).

fof(f911,definition,
    ( spl0_109
  <=> c1_1(a1) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f913,plain,
    ( ~ c1_1(a1)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f914,plain,
    ( ~ spl0_109
    | spl0_50 ),
    inference(avatar_split_clause,[],[f277,f603,f911]) ).

fof(f916,definition,
    ( spl0_110
  <=> c0_1(a2) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f919,plain,
    ( spl0_110
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f81,f590,f916]) ).

fof(f921,definition,
    ( spl0_111
  <=> c3_1(a3) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f924,plain,
    ( ~ spl0_111
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f276,f580,f921]) ).

fof(f926,definition,
    ( spl0_112
  <=> c2_1(a5) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f929,plain,
    ( ~ spl0_112
    | spl0_42 ),
    inference(avatar_split_clause,[],[f275,f562,f926]) ).

fof(f931,definition,
    ( spl0_113
  <=> c1_1(a8) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f933,plain,
    ( ~ c1_1(a8)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f931]) ).

fof(f934,plain,
    ( ~ spl0_113
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f274,f585,f931]) ).

fof(f956,definition,
    ( spl0_118
  <=> c2_1(a19) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f959,plain,
    ( ~ spl0_118
    | spl0_53 ),
    inference(avatar_split_clause,[],[f270,f620,f956]) ).

fof(f961,definition,
    ( spl0_119
  <=> c1_1(a19) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f963,plain,
    ( ~ c1_1(a19)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f964,plain,
    ( ~ spl0_119
    | spl0_53 ),
    inference(avatar_split_clause,[],[f269,f620,f961]) ).

fof(f966,definition,
    ( spl0_120
  <=> c3_1(a22) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f968,plain,
    ( ~ c3_1(a22)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f969,plain,
    ( ~ spl0_120
    | spl0_32 ),
    inference(avatar_split_clause,[],[f268,f511,f966]) ).

fof(f971,definition,
    ( spl0_121
  <=> c1_1(a25) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f973,plain,
    ( ~ c1_1(a25)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f971]) ).

fof(f974,plain,
    ( ~ spl0_121
    | spl0_44 ),
    inference(avatar_split_clause,[],[f267,f570,f971]) ).

fof(f976,definition,
    ( spl0_122
  <=> c0_1(a25) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f979,plain,
    ( spl0_122
    | spl0_44 ),
    inference(avatar_split_clause,[],[f266,f570,f976]) ).

fof(f981,definition,
    ( spl0_123
  <=> c3_1(a28) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f983,plain,
    ( ~ c3_1(a28)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f981]) ).

fof(f984,plain,
    ( ~ spl0_123
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f265,f557,f981]) ).

fof(f986,definition,
    ( spl0_124
  <=> c2_1(a28) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f988,plain,
    ( ~ c2_1(a28)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f989,plain,
    ( ~ spl0_124
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f264,f557,f986]) ).

fof(f991,definition,
    ( spl0_125
  <=> c2_1(a32) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f994,plain,
    ( ~ spl0_125
    | spl0_56 ),
    inference(avatar_split_clause,[],[f263,f637,f991]) ).

fof(f996,definition,
    ( spl0_126
  <=> c0_1(a32) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f999,plain,
    ( spl0_126
    | spl0_56 ),
    inference(avatar_split_clause,[],[f262,f637,f996]) ).

fof(f1001,definition,
    ( spl0_127
  <=> c0_1(a33) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f1004,plain,
    ( spl0_127
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f64,f632,f1001]) ).

fof(f1006,definition,
    ( spl0_128
  <=> c3_1(a39) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f1008,plain,
    ( ~ c3_1(a39)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f1006]) ).

fof(f1009,plain,
    ( ~ spl0_128
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f261,f534,f1006]) ).

fof(f1011,definition,
    ( spl0_129
  <=> c0_1(a39) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f1014,plain,
    ( spl0_129
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f62,f534,f1011]) ).

fof(f1016,definition,
    ( spl0_130
  <=> c2_1(a40) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f1019,plain,
    ( ~ spl0_130
    | spl0_30 ),
    inference(avatar_split_clause,[],[f260,f502,f1016]) ).

fof(f1021,definition,
    ( spl0_131
  <=> c1_1(a43) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f1023,plain,
    ( ~ c1_1(a43)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f1021]) ).

fof(f1024,plain,
    ( ~ spl0_131
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f259,f546,f1021]) ).

fof(f1026,definition,
    ( spl0_132
  <=> c0_1(a43) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f1029,plain,
    ( spl0_132
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f59,f546,f1026]) ).

fof(f1031,definition,
    ( spl0_133
  <=> c3_1(a47) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f1033,plain,
    ( ~ c3_1(a47)
    | spl0_133 ),
    inference(avatar_component_clause,[],[f1031]) ).

fof(f1034,plain,
    ( ~ spl0_133
    | spl0_36 ),
    inference(avatar_split_clause,[],[f258,f529,f1031]) ).

fof(f1036,definition,
    ( spl0_134
  <=> c2_1(a47) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f1039,plain,
    ( ~ spl0_134
    | spl0_36 ),
    inference(avatar_split_clause,[],[f257,f529,f1036]) ).

fof(f1041,definition,
    ( spl0_135
  <=> c1_1(a48) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f1043,plain,
    ( ~ c1_1(a48)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f1041]) ).

fof(f1044,plain,
    ( ~ spl0_135
    | spl0_40 ),
    inference(avatar_split_clause,[],[f256,f551,f1041]) ).

fof(f1046,definition,
    ( spl0_136
  <=> c2_1(a63) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f1049,plain,
    ( ~ spl0_136
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f255,f651,f1046]) ).

fof(f1051,definition,
    ( spl0_137
  <=> c3_1(a64) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f1054,plain,
    ( ~ spl0_137
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f254,f646,f1051]) ).

fof(f1056,definition,
    ( spl0_138
  <=> c1_1(a64) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f1058,plain,
    ( ~ c1_1(a64)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f1056]) ).

fof(f1059,plain,
    ( ~ spl0_138
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f253,f646,f1056]) ).

fof(f1061,definition,
    ( spl0_139
  <=> c2_1(a73) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f1063,plain,
    ( ~ c2_1(a73)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f1061]) ).

fof(f1064,plain,
    ( ~ spl0_139
    | spl0_51 ),
    inference(avatar_split_clause,[],[f252,f608,f1061]) ).

fof(f1066,definition,
    ( spl0_140
  <=> c0_1(a73) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1069,plain,
    ( spl0_140
    | spl0_51 ),
    inference(avatar_split_clause,[],[f251,f608,f1066]) ).

fof(f1071,definition,
    ( spl0_141
  <=> c3_1(a4) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f1074,plain,
    ( ~ spl0_141
    | spl0_57 ),
    inference(avatar_split_clause,[],[f250,f641,f1071]) ).

fof(f1076,definition,
    ( spl0_142
  <=> c1_1(a4) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f1078,plain,
    ( ~ c1_1(a4)
    | spl0_142 ),
    inference(avatar_component_clause,[],[f1076]) ).

fof(f1079,plain,
    ( ~ spl0_142
    | spl0_57 ),
    inference(avatar_split_clause,[],[f249,f641,f1076]) ).

fof(f1081,definition,
    ( spl0_143
  <=> c0_1(a4) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f1084,plain,
    ( spl0_143
    | spl0_57 ),
    inference(avatar_split_clause,[],[f248,f641,f1081]) ).

fof(f1086,definition,
    ( spl0_144
  <=> c3_1(a13) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1088,plain,
    ( ~ c3_1(a13)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f1086]) ).

fof(f1089,plain,
    ( ~ spl0_144
    | spl0_62 ),
    inference(avatar_split_clause,[],[f247,f675,f1086]) ).

fof(f1091,definition,
    ( spl0_145
  <=> c2_1(a13) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1094,plain,
    ( ~ spl0_145
    | spl0_62 ),
    inference(avatar_split_clause,[],[f246,f675,f1091]) ).

fof(f1096,definition,
    ( spl0_146
  <=> c1_1(a13) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1098,plain,
    ( ~ c1_1(a13)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f1096]) ).

fof(f1099,plain,
    ( ~ spl0_146
    | spl0_62 ),
    inference(avatar_split_clause,[],[f245,f675,f1096]) ).

fof(f1101,definition,
    ( spl0_147
  <=> c2_1(a23) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1104,plain,
    ( ~ spl0_147
    | spl0_38 ),
    inference(avatar_split_clause,[],[f244,f540,f1101]) ).

fof(f1106,definition,
    ( spl0_148
  <=> c1_1(a23) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1108,plain,
    ( ~ c1_1(a23)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f1106]) ).

fof(f1109,plain,
    ( ~ spl0_148
    | spl0_38 ),
    inference(avatar_split_clause,[],[f243,f540,f1106]) ).

fof(f1111,definition,
    ( spl0_149
  <=> c0_1(a23) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1114,plain,
    ( spl0_149
    | spl0_38 ),
    inference(avatar_split_clause,[],[f242,f540,f1111]) ).

fof(f1116,definition,
    ( spl0_150
  <=> c3_1(a77) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1118,plain,
    ( ~ c3_1(a77)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f1116]) ).

fof(f1120,definition,
    ( spl0_151
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1123,plain,
    ( ~ spl0_150
    | spl0_151 ),
    inference(avatar_split_clause,[],[f241,f1120,f1116]) ).

fof(f1125,definition,
    ( spl0_152
  <=> c2_1(a77) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1128,plain,
    ( ~ spl0_152
    | spl0_151 ),
    inference(avatar_split_clause,[],[f240,f1120,f1125]) ).

fof(f1130,definition,
    ( spl0_153
  <=> c0_1(a77) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1133,plain,
    ( spl0_153
    | spl0_151 ),
    inference(avatar_split_clause,[],[f239,f1120,f1130]) ).

fof(f1134,plain,
    ( spl0_35
    | ~ spl0_36
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f238,f620,f529,f524]) ).

fof(f1135,plain,
    ( ~ spl0_40
    | ~ spl0_50
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f237,f620,f603,f551]) ).

fof(f1136,plain,
    ( ~ spl0_30
    | ~ spl0_40
    | spl0_55 ),
    inference(avatar_split_clause,[],[f236,f632,f551,f502]) ).

fof(f1137,plain,
    ( ~ spl0_49
    | ~ spl0_62
    | spl0_48 ),
    inference(avatar_split_clause,[],[f235,f590,f675,f596]) ).

fof(f1139,plain,
    ( ~ spl0_30
    | spl0_58
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f233,f1120,f646,f502]) ).

fof(f1140,plain,
    ( spl0_35
    | spl0_39
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f232,f570,f546,f524]) ).

fof(f1150,plain,
    ( ~ spl0_3
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f222,f656,f399]) ).

fof(f1168,plain,
    ( ~ spl0_3
    | spl0_62 ),
    inference(avatar_split_clause,[],[f204,f675,f399]) ).

fof(f1171,plain,
    ( spl0_60
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f201,f675,f656]) ).

fof(f1180,plain,
    ( ~ c2_1(a43)
    | ~ c0_1(a43)
    | ~ spl0_5
    | spl0_131 ),
    inference(resolution,[],[f408,f1023]) ).

fof(f1185,plain,
    ( ~ c2_1(a25)
    | ~ c0_1(a25)
    | ~ spl0_5
    | spl0_121 ),
    inference(resolution,[],[f408,f973]) ).

fof(f1199,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(resolution,[],[f418,f397]) ).

fof(f1201,plain,
    ( c3_1(a13)
    | ~ c0_1(a13)
    | ~ spl0_8
    | spl0_146 ),
    inference(resolution,[],[f418,f1098]) ).

fof(f1202,plain,
    ( c3_1(a4)
    | ~ c0_1(a4)
    | ~ spl0_8
    | spl0_142 ),
    inference(resolution,[],[f418,f1078]) ).

fof(f1211,plain,
    ( c3_1(a25)
    | ~ c0_1(a25)
    | ~ spl0_8
    | spl0_121 ),
    inference(resolution,[],[f418,f973]) ).

fof(f1219,plain,
    ( c3_1(a1)
    | ~ c0_1(a1)
    | ~ spl0_8
    | spl0_109 ),
    inference(resolution,[],[f418,f913]) ).

fof(f1222,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(duplicate_literal_removal,[],[f1199]) ).

fof(f1224,definition,
    ( spl0_154
  <=> c0_1(a18) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1229,definition,
    ( spl0_155
  <=> c0_1(a1) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1244,definition,
    ( spl0_158
  <=> c0_1(a28) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1254,definition,
    ( spl0_160
  <=> c0_1(a13) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1258,plain,
    ( spl0_10
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f1222,f417,f396,f424]) ).

fof(f1261,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(resolution,[],[f422,f408]) ).

fof(f1262,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(duplicate_literal_removal,[],[f1261]) ).

fof(f1266,plain,
    ( ~ c0_1(a77)
    | c2_1(a77)
    | ~ spl0_10
    | spl0_150 ),
    inference(resolution,[],[f425,f1118]) ).

fof(f1267,plain,
    ( ~ c0_1(a13)
    | c2_1(a13)
    | ~ spl0_10
    | spl0_144 ),
    inference(resolution,[],[f425,f1088]) ).

fof(f1275,plain,
    ( ~ c0_1(a39)
    | c2_1(a39)
    | ~ spl0_10
    | spl0_128 ),
    inference(resolution,[],[f425,f1008]) ).

fof(f1277,plain,
    ( ~ c0_1(a28)
    | c2_1(a28)
    | ~ spl0_10
    | spl0_123 ),
    inference(resolution,[],[f425,f983]) ).

fof(f1288,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(resolution,[],[f429,f397]) ).

fof(f1290,plain,
    ( c0_1(a13)
    | c3_1(a13)
    | ~ spl0_11
    | spl0_146 ),
    inference(resolution,[],[f429,f1098]) ).

fof(f1292,plain,
    ( c0_1(a64)
    | c3_1(a64)
    | ~ spl0_11
    | spl0_138 ),
    inference(resolution,[],[f429,f1058]) ).

fof(f1302,plain,
    ( c0_1(a19)
    | c3_1(a19)
    | ~ spl0_11
    | spl0_119 ),
    inference(resolution,[],[f429,f963]) ).

fof(f1308,plain,
    ( c0_1(a1)
    | c3_1(a1)
    | ~ spl0_11
    | spl0_109 ),
    inference(resolution,[],[f429,f913]) ).

fof(f1311,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f1288]) ).

fof(f1316,definition,
    ( spl0_161
  <=> c3_1(a2) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1318,plain,
    ( c3_1(a2)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1316]) ).

fof(f1322,definition,
    ( spl0_162
  <=> c3_1(a5) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1323,plain,
    ( ~ c3_1(a5)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1322]) ).

fof(f1333,definition,
    ( spl0_164
  <=> c3_1(a19) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1334,plain,
    ( ~ c3_1(a19)
    | spl0_164 ),
    inference(avatar_component_clause,[],[f1333]) ).

fof(f1336,plain,
    ( spl0_164
    | spl0_86
    | ~ spl0_11
    | spl0_119 ),
    inference(avatar_split_clause,[],[f1302,f961,f428,f796,f1333]) ).

fof(f1339,definition,
    ( spl0_165
  <=> c3_1(a25) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1340,plain,
    ( ~ c3_1(a25)
    | spl0_165 ),
    inference(avatar_component_clause,[],[f1339]) ).

fof(f1345,definition,
    ( spl0_166
  <=> c3_1(a32) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1346,plain,
    ( ~ c3_1(a32)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f1345]) ).

fof(f1394,plain,
    ( ~ c0_1(a32)
    | c2_1(a32)
    | ~ spl0_10
    | spl0_166 ),
    inference(resolution,[],[f1346,f425]) ).

fof(f1413,plain,
    ( ~ c3_1(a43)
    | ~ c0_1(a43)
    | ~ spl0_16
    | spl0_131 ),
    inference(resolution,[],[f447,f1023]) ).

fof(f1418,plain,
    ( ~ c3_1(a25)
    | ~ c0_1(a25)
    | ~ spl0_16
    | spl0_121 ),
    inference(resolution,[],[f447,f973]) ).

fof(f1431,plain,
    ( c2_1(a40)
    | c0_1(a40)
    | ~ spl0_17
    | ~ spl0_98 ),
    inference(resolution,[],[f452,f858]) ).

fof(f1438,definition,
    ( spl0_168
  <=> c2_1(a22) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1447,plain,
    ( c2_1(a28)
    | c3_1(a28)
    | ~ spl0_2
    | ~ spl0_93 ),
    inference(resolution,[],[f833,f397]) ).

fof(f1454,plain,
    ( c2_1(a22)
    | c3_1(a22)
    | ~ spl0_2
    | ~ spl0_90 ),
    inference(resolution,[],[f818,f397]) ).

fof(f1464,plain,
    ( c3_1(a22)
    | c0_1(a22)
    | ~ spl0_18
    | ~ spl0_90 ),
    inference(resolution,[],[f456,f818]) ).

fof(f1465,plain,
    ( c3_1(a15)
    | c0_1(a15)
    | ~ spl0_18
    | ~ spl0_81 ),
    inference(resolution,[],[f456,f773]) ).

fof(f1469,definition,
    ( spl0_169
  <=> c3_1(a15) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1471,plain,
    ( c3_1(a15)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1469]) ).

fof(f1479,plain,
    ( c0_1(a13)
    | c2_1(a13)
    | ~ spl0_19
    | spl0_144 ),
    inference(resolution,[],[f459,f1088]) ).

fof(f1485,plain,
    ( c0_1(a47)
    | c2_1(a47)
    | ~ spl0_19
    | spl0_133 ),
    inference(resolution,[],[f459,f1033]) ).

fof(f1490,plain,
    ( c0_1(a28)
    | c2_1(a28)
    | ~ spl0_19
    | spl0_123 ),
    inference(resolution,[],[f459,f983]) ).

fof(f1492,plain,
    ( c0_1(a22)
    | c2_1(a22)
    | ~ spl0_19
    | spl0_120 ),
    inference(resolution,[],[f459,f968]) ).

fof(f1493,plain,
    ( c0_1(a19)
    | c2_1(a19)
    | ~ spl0_19
    | spl0_164 ),
    inference(resolution,[],[f459,f1334]) ).

fof(f1498,plain,
    ( c0_1(a5)
    | c2_1(a5)
    | ~ spl0_19
    | spl0_162 ),
    inference(resolution,[],[f459,f1323]) ).

fof(f1512,plain,
    ( spl0_118
    | spl0_86
    | ~ spl0_19
    | spl0_164 ),
    inference(avatar_split_clause,[],[f1493,f1333,f458,f796,f956]) ).

fof(f1517,definition,
    ( spl0_170
  <=> c2_1(a33) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1522,definition,
    ( spl0_171
  <=> c2_1(a39) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1524,plain,
    ( c2_1(a39)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1522]) ).

fof(f1527,definition,
    ( spl0_172
  <=> c2_1(a43) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1533,definition,
    ( spl0_173
  <=> c2_1(a48) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1564,definition,
    ( spl0_176
  <=> c2_1(a7) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1579,plain,
    ( ~ c2_1(a22)
    | c0_1(a22)
    | ~ spl0_21
    | ~ spl0_90 ),
    inference(resolution,[],[f467,f818]) ).

fof(f1581,plain,
    ( ~ c2_1(a15)
    | c0_1(a15)
    | ~ spl0_21
    | ~ spl0_81 ),
    inference(resolution,[],[f467,f773]) ).

fof(f1589,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(resolution,[],[f440,f418]) ).

fof(f1590,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(resolution,[],[f440,f408]) ).

fof(f1595,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f1590]) ).

fof(f1596,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f1589]) ).

fof(f1609,plain,
    ( ~ c0_1(a39)
    | ~ spl0_8
    | ~ spl0_14
    | spl0_128 ),
    inference(resolution,[],[f1596,f1008]) ).

fof(f1633,plain,
    ( c3_1(a13)
    | c2_1(a13)
    | ~ spl0_22
    | spl0_146 ),
    inference(resolution,[],[f470,f1098]) ).

fof(f1671,plain,
    ( spl0_145
    | spl0_144
    | ~ spl0_22
    | spl0_146 ),
    inference(avatar_split_clause,[],[f1633,f1096,f469,f1086,f1091]) ).

fof(f1695,plain,
    ( ~ c2_1(a1)
    | c0_1(a1)
    | ~ spl0_23
    | spl0_109 ),
    inference(resolution,[],[f475,f913]) ).

fof(f1700,plain,
    ( ~ c0_1(a18)
    | ~ c2_1(a18)
    | ~ spl0_13
    | ~ spl0_83 ),
    inference(resolution,[],[f783,f436]) ).

fof(f1701,plain,
    ( ~ c0_1(a18)
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_84 ),
    inference(resolution,[],[f788,f1262]) ).

fof(f1709,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_6
    | ~ spl0_25 ),
    inference(resolution,[],[f484,f412]) ).

fof(f1717,plain,
    ( ~ c3_1(a48)
    | c0_1(a48)
    | ~ spl0_25
    | spl0_135 ),
    inference(resolution,[],[f484,f1043]) ).

fof(f1724,plain,
    ( ~ c3_1(a19)
    | c0_1(a19)
    | ~ spl0_25
    | spl0_119 ),
    inference(resolution,[],[f484,f963]) ).

fof(f1730,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_6
    | ~ spl0_25 ),
    inference(duplicate_literal_removal,[],[f1709]) ).

fof(f1732,plain,
    ( spl0_17
    | ~ spl0_6
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f1730,f483,f411,f451]) ).

fof(f1738,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_16
    | ~ spl0_26 ),
    inference(resolution,[],[f487,f447]) ).

fof(f1739,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_5
    | ~ spl0_26 ),
    inference(resolution,[],[f487,f408]) ).

fof(f1745,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_5
    | ~ spl0_26 ),
    inference(duplicate_literal_removal,[],[f1739]) ).

fof(f1746,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_16
    | ~ spl0_26 ),
    inference(duplicate_literal_removal,[],[f1738]) ).

fof(f1747,plain,
    ( ~ c0_1(a73)
    | ~ spl0_16
    | ~ spl0_26
    | ~ spl0_107 ),
    inference(resolution,[],[f1746,f903]) ).

fof(f1752,plain,
    ( ~ spl0_140
    | ~ spl0_16
    | ~ spl0_26
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1747,f901,f486,f446,f1066]) ).

fof(f1753,plain,
    ( ~ c0_1(a2)
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_64 ),
    inference(resolution,[],[f688,f1262]) ).

fof(f1754,plain,
    ( ~ spl0_110
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1753,f686,f421,f407,f916]) ).

fof(f1755,plain,
    ( ~ c0_1(a2)
    | c3_1(a2)
    | ~ spl0_14
    | ~ spl0_65 ),
    inference(resolution,[],[f693,f440]) ).

fof(f1758,plain,
    ( ~ c2_1(a2)
    | ~ c0_1(a2)
    | ~ spl0_9
    | ~ spl0_65 ),
    inference(resolution,[],[f693,f422]) ).

fof(f1761,plain,
    ( spl0_161
    | ~ spl0_110
    | ~ spl0_14
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1755,f691,f439,f916,f1316]) ).

fof(f1767,plain,
    ( ~ c3_1(a33)
    | c2_1(a33)
    | ~ spl0_6
    | ~ spl0_96 ),
    inference(resolution,[],[f848,f412]) ).

fof(f1773,plain,
    ( spl0_19
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f1311,f428,f396,f458]) ).

fof(f1798,plain,
    ( spl0_125
    | ~ spl0_126
    | ~ spl0_10
    | spl0_166 ),
    inference(avatar_split_clause,[],[f1394,f1345,f424,f996,f991]) ).

fof(f1800,plain,
    ( spl0_7
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f1595,f439,f407,f414]) ).

fof(f1804,plain,
    ( spl0_82
    | spl0_169
    | ~ spl0_18
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1465,f771,f455,f1469,f776]) ).

fof(f1812,plain,
    ( spl0_152
    | ~ spl0_153
    | ~ spl0_10
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1266,f1116,f424,f1130,f1125]) ).

fof(f1825,plain,
    ( spl0_144
    | spl0_160
    | ~ spl0_11
    | spl0_146 ),
    inference(avatar_split_clause,[],[f1290,f1096,f428,f1254,f1086]) ).

fof(f1837,plain,
    ( ~ c0_1(a33)
    | ~ c2_1(a33)
    | ~ spl0_13
    | ~ spl0_95 ),
    inference(resolution,[],[f843,f436]) ).

fof(f1838,plain,
    ( ~ c0_1(a39)
    | c3_1(a39)
    | ~ spl0_14
    | ~ spl0_97 ),
    inference(resolution,[],[f853,f440]) ).

fof(f1857,plain,
    ( ~ c0_1(a39)
    | c2_1(a39)
    | ~ spl0_1
    | ~ spl0_97 ),
    inference(resolution,[],[f394,f853]) ).

fof(f1858,plain,
    ( ~ c0_1(a33)
    | c2_1(a33)
    | ~ spl0_1
    | ~ spl0_96 ),
    inference(resolution,[],[f394,f848]) ).

fof(f1877,plain,
    ( spl0_170
    | ~ spl0_127
    | ~ spl0_1
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1858,f846,f393,f1001,f1517]) ).

fof(f1884,plain,
    ( ~ c0_1(a2)
    | ~ c2_1(a2)
    | ~ spl0_13
    | ~ spl0_161 ),
    inference(resolution,[],[f1318,f436]) ).

fof(f1899,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(resolution,[],[f404,f394]) ).

fof(f1901,plain,
    ( c2_1(a23)
    | ~ c0_1(a23)
    | ~ spl0_4
    | spl0_148 ),
    inference(resolution,[],[f404,f1108]) ).

fof(f1902,plain,
    ( c2_1(a13)
    | ~ c0_1(a13)
    | ~ spl0_4
    | spl0_146 ),
    inference(resolution,[],[f404,f1098]) ).

fof(f1905,plain,
    ( c2_1(a43)
    | ~ c0_1(a43)
    | ~ spl0_4
    | spl0_131 ),
    inference(resolution,[],[f404,f1023]) ).

fof(f1916,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(duplicate_literal_removal,[],[f1899]) ).

fof(f1921,plain,
    ( ~ spl0_132
    | spl0_172
    | ~ spl0_4
    | spl0_131 ),
    inference(avatar_split_clause,[],[f1905,f1021,f403,f1527,f1026]) ).

fof(f1924,plain,
    ( ~ spl0_160
    | spl0_145
    | ~ spl0_4
    | spl0_146 ),
    inference(avatar_split_clause,[],[f1902,f1096,f403,f1091,f1254]) ).

fof(f1925,plain,
    ( ~ spl0_149
    | spl0_147
    | ~ spl0_4
    | spl0_148 ),
    inference(avatar_split_clause,[],[f1901,f1106,f403,f1101,f1111]) ).

fof(f1927,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(resolution,[],[f415,f436]) ).

fof(f1934,plain,
    ( ~ c2_1(a25)
    | ~ c0_1(a25)
    | ~ spl0_7
    | spl0_165 ),
    inference(resolution,[],[f415,f1340]) ).

fof(f1942,plain,
    ( ~ c2_1(a1)
    | ~ c0_1(a1)
    | ~ spl0_7
    | spl0_108 ),
    inference(resolution,[],[f415,f908]) ).

fof(f1945,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f1927]) ).

fof(f1951,plain,
    ( ~ spl0_122
    | ~ spl0_92
    | ~ spl0_7
    | spl0_165 ),
    inference(avatar_split_clause,[],[f1934,f1339,f414,f826,f976]) ).

fof(f1954,plain,
    ( spl0_123
    | spl0_124
    | ~ spl0_2
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1447,f831,f396,f986,f981]) ).

fof(f1955,plain,
    ( spl0_120
    | spl0_168
    | ~ spl0_2
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1454,f816,f396,f1438,f966]) ).

fof(f1990,plain,
    ( ~ c0_1(a2)
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_64 ),
    inference(resolution,[],[f1945,f688]) ).

fof(f1993,plain,
    ( ~ c0_1(a18)
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_84 ),
    inference(resolution,[],[f1945,f788]) ).

fof(f1997,plain,
    ( ~ spl0_110
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1990,f686,f435,f414,f916]) ).

fof(f2002,plain,
    ( ~ spl0_143
    | spl0_141
    | ~ spl0_8
    | spl0_142 ),
    inference(avatar_split_clause,[],[f1202,f1076,f417,f1071,f1081]) ).

fof(f2005,plain,
    ( ~ spl0_129
    | ~ spl0_8
    | ~ spl0_14
    | spl0_128 ),
    inference(avatar_split_clause,[],[f1609,f1006,f439,f417,f1011]) ).

fof(f2006,plain,
    ( spl0_145
    | ~ spl0_160
    | ~ spl0_10
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1267,f1086,f424,f1254,f1091]) ).

fof(f2007,plain,
    ( spl0_171
    | ~ spl0_129
    | ~ spl0_10
    | spl0_128 ),
    inference(avatar_split_clause,[],[f1275,f1006,f424,f1011,f1522]) ).

fof(f2009,plain,
    ( spl0_170
    | ~ spl0_95
    | ~ spl0_6
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1767,f846,f411,f841,f1517]) ).

fof(f2018,plain,
    ( ~ c0_1(a39)
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_171 ),
    inference(resolution,[],[f1524,f1945]) ).

fof(f2073,plain,
    ( ~ c0_1(a43)
    | ~ spl0_16
    | ~ spl0_26
    | ~ spl0_100 ),
    inference(resolution,[],[f1746,f868]) ).

fof(f2087,plain,
    ( ~ spl0_132
    | ~ spl0_16
    | ~ spl0_26
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f2073,f866,f486,f446,f1026]) ).

fof(f2101,plain,
    ( ~ c3_1(a32)
    | c2_1(a32)
    | ~ spl0_6
    | ~ spl0_94 ),
    inference(resolution,[],[f412,f838]) ).

fof(f2109,plain,
    ( ~ c3_1(a7)
    | c2_1(a7)
    | ~ spl0_6
    | ~ spl0_71 ),
    inference(resolution,[],[f412,f723]) ).

fof(f2119,plain,
    ( ~ c2_1(a22)
    | c3_1(a22)
    | ~ spl0_15
    | ~ spl0_90 ),
    inference(resolution,[],[f444,f818]) ).

fof(f2122,plain,
    ( ~ c2_1(a3)
    | c3_1(a3)
    | ~ spl0_15
    | ~ spl0_67 ),
    inference(resolution,[],[f444,f703]) ).

fof(f2128,plain,
    ( spl0_120
    | ~ spl0_168
    | ~ spl0_15
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f2119,f816,f443,f1438,f966]) ).

fof(f2171,plain,
    ( c0_1(a20)
    | ~ c2_1(a20)
    | ~ spl0_28
    | ~ spl0_87 ),
    inference(resolution,[],[f494,f803]) ).

fof(f2173,plain,
    ( c0_1(a15)
    | ~ c2_1(a15)
    | ~ spl0_28
    | ~ spl0_169 ),
    inference(resolution,[],[f494,f1471]) ).

fof(f2174,plain,
    ( c0_1(a7)
    | ~ c2_1(a7)
    | ~ spl0_28
    | ~ spl0_70 ),
    inference(resolution,[],[f494,f718]) ).

fof(f2175,plain,
    ( ~ spl0_176
    | spl0_72
    | ~ spl0_28
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f2174,f716,f493,f726,f1564]) ).

fof(f2176,plain,
    ( ~ spl0_80
    | spl0_82
    | ~ spl0_28
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f2173,f1469,f493,f776,f766]) ).

fof(f2178,plain,
    ( ~ spl0_88
    | spl0_89
    | ~ spl0_28
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f2171,f801,f493,f811,f806]) ).

fof(f2186,plain,
    ( spl0_144
    | spl0_160
    | ~ spl0_11
    | spl0_146 ),
    inference(avatar_split_clause,[],[f1290,f1096,f428,f1254,f1086]) ).

fof(f2199,plain,
    ( spl0_111
    | ~ spl0_66
    | ~ spl0_15
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f2122,f701,f443,f696,f921]) ).

fof(f2210,plain,
    ( spl0_128
    | ~ spl0_129
    | ~ spl0_14
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1838,f851,f439,f1011,f1006]) ).

fof(f2214,plain,
    ( ~ spl0_132
    | ~ spl0_172
    | ~ spl0_5
    | spl0_131 ),
    inference(avatar_split_clause,[],[f1180,f1021,f407,f1527,f1026]) ).

fof(f2225,plain,
    ( spl0_13
    | ~ spl0_5
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f1745,f486,f407,f435]) ).

fof(f2239,plain,
    ( ~ spl0_64
    | ~ spl0_110
    | ~ spl0_13
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1884,f1316,f435,f916,f686]) ).

fof(f2245,plain,
    ( spl0_108
    | spl0_155
    | ~ spl0_11
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1308,f911,f428,f1229,f906]) ).

fof(f2261,plain,
    ( ~ c0_1(a73)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_139 ),
    inference(resolution,[],[f1916,f1063]) ).

fof(f2265,plain,
    ( ~ c0_1(a28)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_124 ),
    inference(resolution,[],[f1916,f988]) ).

fof(f2267,plain,
    ( ~ spl0_158
    | ~ spl0_1
    | ~ spl0_4
    | spl0_124 ),
    inference(avatar_split_clause,[],[f2265,f986,f403,f393,f1244]) ).

fof(f2268,plain,
    ( ~ spl0_140
    | ~ spl0_1
    | ~ spl0_4
    | spl0_139 ),
    inference(avatar_split_clause,[],[f2261,f1061,f403,f393,f1066]) ).

fof(f2269,plain,
    ( ~ spl0_110
    | ~ spl0_64
    | ~ spl0_9
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1758,f691,f421,f686,f916]) ).

fof(f2274,plain,
    ( ~ spl0_155
    | ~ spl0_63
    | ~ spl0_7
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1942,f906,f414,f681,f1229]) ).

fof(f2275,plain,
    ( ~ spl0_160
    | spl0_144
    | ~ spl0_8
    | spl0_146 ),
    inference(avatar_split_clause,[],[f1201,f1096,f417,f1086,f1254]) ).

fof(f2276,plain,
    ( ~ spl0_155
    | spl0_108
    | ~ spl0_8
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1219,f911,f417,f906,f1229]) ).

fof(f2283,plain,
    ( spl0_91
    | spl0_120
    | ~ spl0_18
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1464,f816,f455,f966,f821]) ).

fof(f2287,plain,
    ( spl0_124
    | ~ spl0_158
    | ~ spl0_10
    | spl0_123 ),
    inference(avatar_split_clause,[],[f1277,f981,f424,f1244,f986]) ).

fof(f2319,plain,
    ( ~ c3_1(a48)
    | c2_1(a48)
    | ~ spl0_12
    | spl0_135 ),
    inference(resolution,[],[f432,f1043]) ).

fof(f2361,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_18
    | ~ spl0_22 ),
    inference(resolution,[],[f456,f470]) ).

fof(f2370,plain,
    ( c3_1(a28)
    | c0_1(a28)
    | ~ spl0_18
    | ~ spl0_93 ),
    inference(resolution,[],[f456,f833]) ).

fof(f2381,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_18
    | ~ spl0_22 ),
    inference(duplicate_literal_removal,[],[f2361]) ).

fof(f2387,plain,
    ( spl0_19
    | ~ spl0_18
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f2381,f469,f455,f458]) ).

fof(f2388,plain,
    ( ~ spl0_84
    | ~ spl0_154
    | ~ spl0_13
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1700,f781,f435,f1224,f786]) ).

fof(f2390,plain,
    ( ~ spl0_170
    | ~ spl0_127
    | ~ spl0_13
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1837,f841,f435,f1001,f1517]) ).

fof(f2394,plain,
    ( ~ spl0_154
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1993,f786,f435,f414,f1224]) ).

fof(f2395,plain,
    ( ~ spl0_129
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f2018,f1522,f435,f414,f1011]) ).

fof(f2400,plain,
    ( spl0_82
    | ~ spl0_80
    | ~ spl0_21
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1581,f771,f466,f766,f776]) ).

fof(f2402,plain,
    ( spl0_91
    | ~ spl0_168
    | ~ spl0_21
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1579,f816,f466,f1438,f821]) ).

fof(f2403,plain,
    ( spl0_155
    | ~ spl0_63
    | ~ spl0_23
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1695,f911,f474,f681,f1229]) ).

fof(f2409,plain,
    ( spl0_103
    | ~ spl0_102
    | ~ spl0_25
    | spl0_135 ),
    inference(avatar_split_clause,[],[f1717,f1041,f483,f876,f881]) ).

fof(f2410,plain,
    ( spl0_86
    | ~ spl0_164
    | ~ spl0_25
    | spl0_119 ),
    inference(avatar_split_clause,[],[f1724,f961,f483,f1333,f796]) ).

fof(f2415,plain,
    ( ~ spl0_154
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1701,f786,f421,f407,f1224]) ).

fof(f2417,plain,
    ( spl0_158
    | spl0_123
    | ~ spl0_18
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f2370,f831,f455,f981,f1244]) ).

fof(f2425,plain,
    ( ~ c3_1(a19)
    | c2_1(a19)
    | ~ spl0_12
    | spl0_119 ),
    inference(resolution,[],[f963,f432]) ).

fof(f2500,plain,
    ( ~ c2_1(a18)
    | c0_1(a18)
    | ~ spl0_21
    | ~ spl0_85 ),
    inference(resolution,[],[f467,f793]) ).

fof(f2504,plain,
    ( spl0_154
    | ~ spl0_84
    | ~ spl0_21
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f2500,f791,f466,f786,f1224]) ).

fof(f2522,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_21
    | ~ spl0_23 ),
    inference(resolution,[],[f475,f467]) ).

fof(f2536,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_21
    | ~ spl0_23 ),
    inference(duplicate_literal_removal,[],[f2522]) ).

fof(f2543,plain,
    ( c0_1(a20)
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_88 ),
    inference(resolution,[],[f2536,f808]) ).

fof(f2544,plain,
    ( spl0_89
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2543,f806,f474,f466,f811]) ).

fof(f2547,plain,
    ( spl0_171
    | ~ spl0_129
    | ~ spl0_1
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1857,f851,f393,f1011,f1522]) ).

fof(f2563,plain,
    ( spl0_176
    | ~ spl0_70
    | ~ spl0_6
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f2109,f721,f411,f716,f1564]) ).

fof(f2564,plain,
    ( ~ spl0_122
    | spl0_165
    | ~ spl0_8
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1211,f971,f417,f1339,f976]) ).

fof(f2565,plain,
    ( spl0_137
    | spl0_106
    | ~ spl0_11
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1292,f1056,f428,f896,f1051]) ).

fof(f2569,plain,
    ( spl0_164
    | spl0_86
    | ~ spl0_11
    | spl0_119 ),
    inference(avatar_split_clause,[],[f1302,f961,f428,f796,f1333]) ).

fof(f2571,plain,
    ( ~ spl0_132
    | ~ spl0_100
    | ~ spl0_16
    | spl0_131 ),
    inference(avatar_split_clause,[],[f1413,f1021,f446,f866,f1026]) ).

fof(f2573,plain,
    ( ~ spl0_122
    | ~ spl0_165
    | ~ spl0_16
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1418,f971,f446,f1339,f976]) ).

fof(f2574,plain,
    ( spl0_99
    | spl0_130
    | ~ spl0_17
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1431,f856,f451,f1016,f861]) ).

fof(f2576,plain,
    ( spl0_145
    | spl0_160
    | ~ spl0_19
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1479,f1086,f458,f1254,f1091]) ).

fof(f2577,plain,
    ( spl0_134
    | spl0_101
    | ~ spl0_19
    | spl0_133 ),
    inference(avatar_split_clause,[],[f1485,f1031,f458,f871,f1036]) ).

fof(f2578,plain,
    ( spl0_124
    | spl0_158
    | ~ spl0_19
    | spl0_123 ),
    inference(avatar_split_clause,[],[f1490,f981,f458,f1244,f986]) ).

fof(f2580,plain,
    ( spl0_168
    | spl0_91
    | ~ spl0_19
    | spl0_120 ),
    inference(avatar_split_clause,[],[f1492,f966,f458,f821,f1438]) ).

fof(f2581,plain,
    ( spl0_112
    | spl0_69
    | ~ spl0_19
    | spl0_162 ),
    inference(avatar_split_clause,[],[f1498,f1322,f458,f711,f926]) ).

fof(f2595,plain,
    ( ~ spl0_122
    | ~ spl0_92
    | ~ spl0_5
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1185,f971,f407,f826,f976]) ).

fof(f2653,plain,
    ( ~ c3_1(a63)
    | c2_1(a63)
    | ~ spl0_6
    | ~ spl0_105 ),
    inference(resolution,[],[f412,f893]) ).

fof(f2658,plain,
    ( ~ c3_1(a5)
    | c2_1(a5)
    | ~ spl0_6
    | ~ spl0_68 ),
    inference(resolution,[],[f412,f708]) ).

fof(f2666,plain,
    ( spl0_136
    | ~ spl0_104
    | ~ spl0_6
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2653,f891,f411,f886,f1046]) ).

fof(f2670,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(resolution,[],[f418,f394]) ).

fof(f2679,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(duplicate_literal_removal,[],[f2670]) ).

fof(f2743,plain,
    ( ~ c3_1(a48)
    | ~ c2_1(a48)
    | ~ spl0_27
    | spl0_135 ),
    inference(resolution,[],[f490,f1043]) ).

fof(f2749,plain,
    ( ~ c3_1(a8)
    | ~ c2_1(a8)
    | ~ spl0_27
    | spl0_113 ),
    inference(resolution,[],[f490,f933]) ).

fof(f2756,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_23
    | ~ spl0_29 ),
    inference(resolution,[],[f499,f475]) ).

fof(f2758,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_27
    | ~ spl0_29 ),
    inference(resolution,[],[f499,f490]) ).

fof(f2773,plain,
    ( ~ c3_1(a7)
    | c0_1(a7)
    | ~ spl0_29
    | ~ spl0_71 ),
    inference(resolution,[],[f499,f723]) ).

fof(f2774,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_27
    | ~ spl0_29 ),
    inference(duplicate_literal_removal,[],[f2758]) ).

fof(f2775,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_23
    | ~ spl0_29 ),
    inference(duplicate_literal_removal,[],[f2756]) ).

fof(f2778,plain,
    ( spl0_72
    | ~ spl0_70
    | ~ spl0_29
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f2773,f721,f498,f716,f726]) ).

fof(f2782,plain,
    ( spl0_28
    | ~ spl0_27
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f2774,f498,f489,f493]) ).

fof(f2783,plain,
    ( spl0_28
    | ~ spl0_23
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f2775,f498,f474,f493]) ).

fof(f2792,plain,
    ( spl0_173
    | ~ spl0_102
    | ~ spl0_12
    | spl0_135 ),
    inference(avatar_split_clause,[],[f2319,f1041,f431,f876,f1533]) ).

fof(f2794,plain,
    ( spl0_118
    | ~ spl0_164
    | ~ spl0_12
    | spl0_119 ),
    inference(avatar_split_clause,[],[f2425,f961,f431,f1333,f956]) ).

fof(f2796,plain,
    ( ~ spl0_173
    | ~ spl0_102
    | ~ spl0_27
    | spl0_135 ),
    inference(avatar_split_clause,[],[f2743,f1041,f489,f876,f1533]) ).

fof(f2801,plain,
    ( spl0_112
    | ~ spl0_162
    | ~ spl0_6
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f2658,f706,f411,f1322,f926]) ).

fof(f2810,plain,
    ( spl0_10
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f2679,f417,f393,f424]) ).

fof(f2909,plain,
    ( ~ c3_1(a18)
    | ~ c2_1(a18)
    | ~ spl0_31
    | ~ spl0_85 ),
    inference(resolution,[],[f508,f793]) ).

fof(f2918,plain,
    ( ~ spl0_84
    | ~ spl0_83
    | ~ spl0_31
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f2909,f791,f507,f781,f786]) ).

fof(f2937,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_6
    | ~ spl0_43 ),
    inference(resolution,[],[f567,f412]) ).

fof(f2939,plain,
    ( c0_1(a48)
    | c2_1(a48)
    | ~ spl0_43
    | spl0_135 ),
    inference(resolution,[],[f567,f1043]) ).

fof(f2942,plain,
    ( c0_1(a19)
    | c2_1(a19)
    | ~ spl0_43
    | spl0_119 ),
    inference(resolution,[],[f567,f963]) ).

fof(f2945,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_6
    | ~ spl0_43 ),
    inference(duplicate_literal_removal,[],[f2937]) ).

fof(f2947,plain,
    ( spl0_118
    | spl0_86
    | ~ spl0_43
    | spl0_119 ),
    inference(avatar_split_clause,[],[f2942,f961,f566,f796,f956]) ).

fof(f2950,plain,
    ( spl0_173
    | spl0_103
    | ~ spl0_43
    | spl0_135 ),
    inference(avatar_split_clause,[],[f2939,f1041,f566,f881,f1533]) ).

fof(f2951,plain,
    ( spl0_17
    | ~ spl0_6
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f2945,f566,f411,f451]) ).

fof(f2952,plain,
    ( spl0_125
    | ~ spl0_166
    | ~ spl0_6
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f2101,f836,f411,f1345,f991]) ).

fof(f2953,plain,
    ( ~ spl0_74
    | ~ spl0_73
    | ~ spl0_27
    | spl0_113 ),
    inference(avatar_split_clause,[],[f2749,f931,f489,f731,f736]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f405]) ).

cnf(s2,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_5 ),
    inference(sat_conversion,[],[f409]) ).

cnf(s3,plain,
    ( spl0_3
    | spl0_6
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f419]) ).

cnf(s5,plain,
    ( spl0_2
    | spl0_3
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f433]) ).

cnf(s6,plain,
    ( spl0_3
    | spl0_4
    | spl0_6
    | spl0_13 ),
    inference(sat_conversion,[],[f437]) ).

cnf(s7,plain,
    ( spl0_3
    | spl0_5
    | spl0_6
    | spl0_14 ),
    inference(sat_conversion,[],[f441]) ).

cnf(s8,plain,
    ( spl0_2
    | spl0_3
    | spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f448]) ).

cnf(s9,plain,
    ( spl0_1
    | spl0_3
    | spl0_7
    | spl0_9 ),
    inference(sat_conversion,[],[f449]) ).

cnf(s10,plain,
    ( spl0_3
    | spl0_4
    | spl0_13
    | spl0_17 ),
    inference(sat_conversion,[],[f453]) ).

cnf(s11,plain,
    ( spl0_3
    | spl0_5
    | spl0_18
    | spl0_19 ),
    inference(sat_conversion,[],[f460]) ).

cnf(s13,plain,
    ( spl0_2
    | spl0_3
    | spl0_21
    | spl0_22 ),
    inference(sat_conversion,[],[f471]) ).

cnf(s14,plain,
    ( spl0_3
    | spl0_6
    | spl0_18
    | spl0_19 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s15,plain,
    ( spl0_2
    | spl0_3
    | spl0_18
    | spl0_23 ),
    inference(sat_conversion,[],[f476]) ).

cnf(s17,plain,
    ( spl0_3
    | spl0_11
    | spl0_14
    | spl0_21 ),
    inference(sat_conversion,[],[f481]) ).

cnf(s18,plain,
    ( spl0_3
    | spl0_25
    | spl0_26
    | spl0_27 ),
    inference(sat_conversion,[],[f491]) ).

cnf(s19,plain,
    ( spl0_3
    | spl0_6
    | spl0_12
    | spl0_28 ),
    inference(sat_conversion,[],[f495]) ).

cnf(s20,plain,
    ( spl0_3
    | spl0_6
    | spl0_13
    | spl0_18 ),
    inference(sat_conversion,[],[f496]) ).

cnf(s22,plain,
    ( spl0_3
    | spl0_10
    | spl0_19
    | ~ spl0_30 ),
    inference(sat_conversion,[],[f505]) ).

cnf(s23,plain,
    ( spl0_3
    | spl0_21
    | spl0_27
    | spl0_31 ),
    inference(sat_conversion,[],[f509]) ).

cnf(s24,plain,
    ( spl0_3
    | spl0_8
    | spl0_13
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f514]) ).

cnf(s26,plain,
    ( spl0_1
    | spl0_3
    | spl0_16
    | spl0_35 ),
    inference(sat_conversion,[],[f527]) ).

cnf(s27,plain,
    ( spl0_3
    | spl0_4
    | spl0_15
    | ~ spl0_36 ),
    inference(sat_conversion,[],[f532]) ).

cnf(s28,plain,
    ( spl0_3
    | spl0_11
    | spl0_16
    | spl0_37 ),
    inference(sat_conversion,[],[f537]) ).

cnf(s29,plain,
    ( spl0_3
    | spl0_11
    | spl0_19
    | spl0_35 ),
    inference(sat_conversion,[],[f538]) ).

cnf(s30,plain,
    ( spl0_3
    | spl0_22
    | spl0_25
    | ~ spl0_38 ),
    inference(sat_conversion,[],[f543]) ).

cnf(s31,plain,
    ( spl0_3
    | spl0_8
    | spl0_25
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f544]) ).

cnf(s32,plain,
    ( spl0_3
    | spl0_12
    | spl0_13
    | spl0_39 ),
    inference(sat_conversion,[],[f549]) ).

cnf(s33,plain,
    ( spl0_2
    | spl0_3
    | spl0_26
    | ~ spl0_40 ),
    inference(sat_conversion,[],[f554]) ).

cnf(s35,plain,
    ( spl0_3
    | spl0_11
    | spl0_13
    | spl0_41 ),
    inference(sat_conversion,[],[f560]) ).

cnf(s36,plain,
    ( spl0_3
    | spl0_26
    | ~ spl0_42
    | spl0_43 ),
    inference(sat_conversion,[],[f568]) ).

cnf(s40,plain,
    ( spl0_2
    | spl0_3
    | spl0_18
    | spl0_46 ),
    inference(sat_conversion,[],[f583]) ).

cnf(s41,plain,
    ( spl0_3
    | spl0_18
    | spl0_43
    | spl0_47 ),
    inference(sat_conversion,[],[f588]) ).

cnf(s42,plain,
    ( spl0_3
    | spl0_6
    | spl0_27
    | spl0_48 ),
    inference(sat_conversion,[],[f593]) ).

cnf(s43,plain,
    ( spl0_1
    | spl0_3
    | spl0_31
    | spl0_39 ),
    inference(sat_conversion,[],[f594]) ).

cnf(s46,plain,
    ( spl0_3
    | spl0_29
    | spl0_43
    | spl0_48 ),
    inference(sat_conversion,[],[f601]) ).

cnf(s47,plain,
    ( spl0_3
    | spl0_21
    | spl0_27
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f606]) ).

cnf(s48,plain,
    ( spl0_3
    | spl0_8
    | ~ spl0_51 ),
    inference(sat_conversion,[],[f611]) ).

cnf(s52,plain,
    ( spl0_1
    | spl0_3
    | ~ spl0_36
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s53,plain,
    ( spl0_1
    | spl0_3
    | ~ spl0_30
    | spl0_37 ),
    inference(sat_conversion,[],[f624]) ).

cnf(s56,plain,
    ( spl0_3
    | spl0_43
    | spl0_47
    | spl0_55 ),
    inference(sat_conversion,[],[f635]) ).

cnf(s57,plain,
    ( spl0_3
    | spl0_43
    | ~ spl0_56
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f644]) ).

cnf(s58,plain,
    ( spl0_3
    | spl0_13
    | ~ spl0_40
    | spl0_58 ),
    inference(sat_conversion,[],[f649]) ).

cnf(s59,plain,
    ( spl0_3
    | spl0_13
    | ~ spl0_57
    | spl0_59 ),
    inference(sat_conversion,[],[f654]) ).

cnf(s61,plain,
    ( spl0_3
    | spl0_26
    | spl0_48
    | spl0_55 ),
    inference(sat_conversion,[],[f660]) ).

cnf(s62,plain,
    ( spl0_3
    | spl0_17
    | ~ spl0_32
    | spl0_41 ),
    inference(sat_conversion,[],[f661]) ).

cnf(s65,plain,
    ( spl0_3
    | spl0_23
    | spl0_48
    | ~ spl0_54 ),
    inference(sat_conversion,[],[f664]) ).

cnf(s68,plain,
    ( spl0_3
    | spl0_27
    | ~ spl0_30 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s71,plain,
    ( spl0_3
    | spl0_28
    | spl0_48
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f678]) ).

cnf(s72,plain,
    ( spl0_3
    | spl0_29
    | ~ spl0_42
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s73,plain,
    ( spl0_50
    | spl0_63 ),
    inference(sat_conversion,[],[f684]) ).

cnf(s74,plain,
    ( ~ spl0_48
    | spl0_64 ),
    inference(sat_conversion,[],[f689]) ).

cnf(s75,plain,
    ( ~ spl0_48
    | spl0_65 ),
    inference(sat_conversion,[],[f694]) ).

cnf(s76,plain,
    ( ~ spl0_46
    | spl0_66 ),
    inference(sat_conversion,[],[f699]) ).

cnf(s77,plain,
    ( ~ spl0_46
    | spl0_67 ),
    inference(sat_conversion,[],[f704]) ).

cnf(s78,plain,
    ( spl0_42
    | spl0_68 ),
    inference(sat_conversion,[],[f709]) ).

cnf(s79,plain,
    ( spl0_42
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f714]) ).

cnf(s80,plain,
    ( spl0_49
    | spl0_70 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s81,plain,
    ( spl0_49
    | spl0_71 ),
    inference(sat_conversion,[],[f724]) ).

cnf(s82,plain,
    ( spl0_49
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f729]) ).

cnf(s83,plain,
    ( ~ spl0_47
    | spl0_73 ),
    inference(sat_conversion,[],[f734]) ).

cnf(s84,plain,
    ( ~ spl0_47
    | spl0_74 ),
    inference(sat_conversion,[],[f739]) ).

cnf(s90,plain,
    ( ~ spl0_60
    | spl0_80 ),
    inference(sat_conversion,[],[f769]) ).

cnf(s91,plain,
    ( ~ spl0_60
    | spl0_81 ),
    inference(sat_conversion,[],[f774]) ).

cnf(s92,plain,
    ( ~ spl0_60
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f779]) ).

cnf(s93,plain,
    ( spl0_54
    | spl0_83 ),
    inference(sat_conversion,[],[f784]) ).

cnf(s94,plain,
    ( spl0_54
    | spl0_84 ),
    inference(sat_conversion,[],[f789]) ).

cnf(s95,plain,
    ( spl0_54
    | spl0_85 ),
    inference(sat_conversion,[],[f794]) ).

cnf(s96,plain,
    ( spl0_53
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f799]) ).

cnf(s97,plain,
    ( ~ spl0_35
    | spl0_87 ),
    inference(sat_conversion,[],[f804]) ).

cnf(s98,plain,
    ( ~ spl0_35
    | spl0_88 ),
    inference(sat_conversion,[],[f809]) ).

cnf(s99,plain,
    ( ~ spl0_35
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f814]) ).

cnf(s100,plain,
    ( spl0_32
    | spl0_90 ),
    inference(sat_conversion,[],[f819]) ).

cnf(s101,plain,
    ( spl0_32
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f824]) ).

cnf(s102,plain,
    ( spl0_44
    | spl0_92 ),
    inference(sat_conversion,[],[f829]) ).

cnf(s103,plain,
    ( ~ spl0_41
    | spl0_93 ),
    inference(sat_conversion,[],[f834]) ).

cnf(s104,plain,
    ( spl0_56
    | spl0_94 ),
    inference(sat_conversion,[],[f839]) ).

cnf(s105,plain,
    ( ~ spl0_55
    | spl0_95 ),
    inference(sat_conversion,[],[f844]) ).

cnf(s106,plain,
    ( ~ spl0_55
    | spl0_96 ),
    inference(sat_conversion,[],[f849]) ).

cnf(s107,plain,
    ( ~ spl0_37
    | spl0_97 ),
    inference(sat_conversion,[],[f854]) ).

cnf(s108,plain,
    ( spl0_30
    | spl0_98 ),
    inference(sat_conversion,[],[f859]) ).

cnf(s109,plain,
    ( spl0_30
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f864]) ).

cnf(s110,plain,
    ( ~ spl0_39
    | spl0_100 ),
    inference(sat_conversion,[],[f869]) ).

cnf(s111,plain,
    ( spl0_36
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f874]) ).

cnf(s112,plain,
    ( spl0_40
    | spl0_102 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s113,plain,
    ( spl0_40
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f884]) ).

cnf(s114,plain,
    ( ~ spl0_59
    | spl0_104 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s115,plain,
    ( ~ spl0_59
    | spl0_105 ),
    inference(sat_conversion,[],[f894]) ).

cnf(s116,plain,
    ( ~ spl0_58
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f899]) ).

cnf(s117,plain,
    ( spl0_51
    | spl0_107 ),
    inference(sat_conversion,[],[f904]) ).

cnf(s118,plain,
    ( spl0_50
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f909]) ).

cnf(s119,plain,
    ( spl0_50
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f914]) ).

cnf(s120,plain,
    ( ~ spl0_48
    | spl0_110 ),
    inference(sat_conversion,[],[f919]) ).

cnf(s121,plain,
    ( ~ spl0_46
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f924]) ).

cnf(s122,plain,
    ( spl0_42
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f929]) ).

cnf(s123,plain,
    ( ~ spl0_47
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f934]) ).

cnf(s128,plain,
    ( spl0_53
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f959]) ).

cnf(s129,plain,
    ( spl0_53
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f964]) ).

cnf(s130,plain,
    ( spl0_32
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f969]) ).

cnf(s131,plain,
    ( spl0_44
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f974]) ).

cnf(s132,plain,
    ( spl0_44
    | spl0_122 ),
    inference(sat_conversion,[],[f979]) ).

cnf(s133,plain,
    ( ~ spl0_41
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f984]) ).

cnf(s134,plain,
    ( ~ spl0_41
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f989]) ).

cnf(s135,plain,
    ( spl0_56
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f994]) ).

cnf(s136,plain,
    ( spl0_56
    | spl0_126 ),
    inference(sat_conversion,[],[f999]) ).

cnf(s137,plain,
    ( ~ spl0_55
    | spl0_127 ),
    inference(sat_conversion,[],[f1004]) ).

cnf(s138,plain,
    ( ~ spl0_37
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1009]) ).

cnf(s139,plain,
    ( ~ spl0_37
    | spl0_129 ),
    inference(sat_conversion,[],[f1014]) ).

cnf(s140,plain,
    ( spl0_30
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1019]) ).

cnf(s141,plain,
    ( ~ spl0_39
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f1024]) ).

cnf(s142,plain,
    ( ~ spl0_39
    | spl0_132 ),
    inference(sat_conversion,[],[f1029]) ).

cnf(s143,plain,
    ( spl0_36
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1034]) ).

cnf(s144,plain,
    ( spl0_36
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1039]) ).

cnf(s145,plain,
    ( spl0_40
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1044]) ).

cnf(s146,plain,
    ( ~ spl0_59
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f1049]) ).

cnf(s147,plain,
    ( ~ spl0_58
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1054]) ).

cnf(s148,plain,
    ( ~ spl0_58
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f1059]) ).

cnf(s149,plain,
    ( spl0_51
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1064]) ).

cnf(s150,plain,
    ( spl0_51
    | spl0_140 ),
    inference(sat_conversion,[],[f1069]) ).

cnf(s151,plain,
    ( spl0_57
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f1074]) ).

cnf(s152,plain,
    ( spl0_57
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f1079]) ).

cnf(s153,plain,
    ( spl0_57
    | spl0_143 ),
    inference(sat_conversion,[],[f1084]) ).

cnf(s154,plain,
    ( spl0_62
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1089]) ).

cnf(s155,plain,
    ( spl0_62
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1094]) ).

cnf(s156,plain,
    ( spl0_62
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1099]) ).

cnf(s157,plain,
    ( spl0_38
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1104]) ).

cnf(s158,plain,
    ( spl0_38
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1109]) ).

cnf(s159,plain,
    ( spl0_38
    | spl0_149 ),
    inference(sat_conversion,[],[f1114]) ).

cnf(s160,plain,
    ( ~ spl0_150
    | spl0_151 ),
    inference(sat_conversion,[],[f1123]) ).

cnf(s161,plain,
    ( spl0_151
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1128]) ).

cnf(s162,plain,
    ( spl0_151
    | spl0_153 ),
    inference(sat_conversion,[],[f1133]) ).

cnf(s163,plain,
    ( spl0_35
    | ~ spl0_36
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f1134]) ).

cnf(s164,plain,
    ( ~ spl0_40
    | ~ spl0_50
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f1135]) ).

cnf(s165,plain,
    ( ~ spl0_30
    | ~ spl0_40
    | spl0_55 ),
    inference(sat_conversion,[],[f1136]) ).

cnf(s166,plain,
    ( spl0_48
    | ~ spl0_49
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f1137]) ).

cnf(s168,plain,
    ( ~ spl0_30
    | spl0_58
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1139]) ).

cnf(s169,plain,
    ( spl0_35
    | spl0_39
    | ~ spl0_44 ),
    inference(sat_conversion,[],[f1140]) ).

cnf(s179,plain,
    ( ~ spl0_3
    | ~ spl0_60 ),
    inference(sat_conversion,[],[f1150]) ).

cnf(s197,plain,
    ( ~ spl0_3
    | spl0_62 ),
    inference(sat_conversion,[],[f1168]) ).

cnf(s200,plain,
    ( spl0_60
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f1171]) ).

cnf(s208,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_10 ),
    inference(sat_conversion,[],[f1258]) ).

cnf(s217,plain,
    ( ~ spl0_11
    | spl0_86
    | spl0_119
    | spl0_164 ),
    inference(sat_conversion,[],[f1336]) ).

cnf(s246,plain,
    ( ~ spl0_19
    | spl0_86
    | spl0_118
    | spl0_164 ),
    inference(sat_conversion,[],[f1512]) ).

cnf(s283,plain,
    ( ~ spl0_22
    | spl0_144
    | spl0_145
    | spl0_146 ),
    inference(sat_conversion,[],[f1671]) ).

cnf(s286,plain,
    ( ~ spl0_6
    | spl0_17
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f1732]) ).

cnf(s291,plain,
    ( ~ spl0_16
    | ~ spl0_26
    | ~ spl0_107
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1752]) ).

cnf(s292,plain,
    ( ~ spl0_5
    | ~ spl0_9
    | ~ spl0_64
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f1754]) ).

cnf(s294,plain,
    ( ~ spl0_14
    | ~ spl0_65
    | ~ spl0_110
    | spl0_161 ),
    inference(sat_conversion,[],[f1761]) ).

cnf(s297,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | spl0_19 ),
    inference(sat_conversion,[],[f1773]) ).

cnf(s322,plain,
    ( ~ spl0_10
    | spl0_125
    | ~ spl0_126
    | spl0_166 ),
    inference(sat_conversion,[],[f1798]) ).

cnf(s324,plain,
    ( ~ spl0_5
    | spl0_7
    | ~ spl0_14 ),
    inference(sat_conversion,[],[f1800]) ).

cnf(s328,plain,
    ( ~ spl0_18
    | ~ spl0_81
    | spl0_82
    | spl0_169 ),
    inference(sat_conversion,[],[f1804]) ).

cnf(s336,plain,
    ( ~ spl0_10
    | spl0_150
    | spl0_152
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1812]) ).

cnf(s349,plain,
    ( ~ spl0_11
    | spl0_144
    | spl0_146
    | spl0_160 ),
    inference(sat_conversion,[],[f1825]) ).

cnf(s374,plain,
    ( ~ spl0_1
    | ~ spl0_96
    | ~ spl0_127
    | spl0_170 ),
    inference(sat_conversion,[],[f1877]) ).

cnf(s382,plain,
    ( ~ spl0_4
    | spl0_131
    | ~ spl0_132
    | spl0_172 ),
    inference(sat_conversion,[],[f1921]) ).

cnf(s385,plain,
    ( ~ spl0_4
    | spl0_145
    | spl0_146
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1924]) ).

cnf(s386,plain,
    ( ~ spl0_4
    | spl0_147
    | spl0_148
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1925]) ).

cnf(s393,plain,
    ( ~ spl0_7
    | ~ spl0_92
    | ~ spl0_122
    | spl0_165 ),
    inference(sat_conversion,[],[f1951]) ).

cnf(s396,plain,
    ( ~ spl0_2
    | ~ spl0_93
    | spl0_123
    | spl0_124 ),
    inference(sat_conversion,[],[f1954]) ).

cnf(s397,plain,
    ( ~ spl0_2
    | ~ spl0_90
    | spl0_120
    | spl0_168 ),
    inference(sat_conversion,[],[f1955]) ).

cnf(s408,plain,
    ( ~ spl0_7
    | ~ spl0_13
    | ~ spl0_64
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f1997]) ).

cnf(s412,plain,
    ( ~ spl0_8
    | spl0_141
    | spl0_142
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f2002]) ).

cnf(s416,plain,
    ( ~ spl0_8
    | ~ spl0_14
    | spl0_128
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f2005]) ).

cnf(s417,plain,
    ( ~ spl0_10
    | spl0_144
    | spl0_145
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2006]) ).

cnf(s418,plain,
    ( ~ spl0_10
    | spl0_128
    | ~ spl0_129
    | spl0_171 ),
    inference(sat_conversion,[],[f2007]) ).

cnf(s421,plain,
    ( ~ spl0_6
    | ~ spl0_95
    | ~ spl0_96
    | spl0_170 ),
    inference(sat_conversion,[],[f2009]) ).

cnf(s424,plain,
    ( ~ spl0_16
    | ~ spl0_26
    | ~ spl0_100
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f2087]) ).

cnf(s435,plain,
    ( ~ spl0_15
    | ~ spl0_90
    | spl0_120
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2128]) ).

cnf(s440,plain,
    ( ~ spl0_28
    | ~ spl0_70
    | spl0_72
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2175]) ).

cnf(s441,plain,
    ( ~ spl0_28
    | ~ spl0_80
    | spl0_82
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f2176]) ).

cnf(s443,plain,
    ( ~ spl0_28
    | ~ spl0_87
    | ~ spl0_88
    | spl0_89 ),
    inference(sat_conversion,[],[f2178]) ).

cnf(s451,plain,
    ( ~ spl0_11
    | spl0_144
    | spl0_146
    | spl0_160 ),
    inference(sat_conversion,[],[f2186]) ).

cnf(s464,plain,
    ( ~ spl0_15
    | ~ spl0_66
    | ~ spl0_67
    | spl0_111 ),
    inference(sat_conversion,[],[f2199]) ).

cnf(s475,plain,
    ( ~ spl0_14
    | ~ spl0_97
    | spl0_128
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f2210]) ).

cnf(s479,plain,
    ( ~ spl0_5
    | spl0_131
    | ~ spl0_132
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2214]) ).

cnf(s492,plain,
    ( ~ spl0_5
    | spl0_13
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f2225]) ).

cnf(s506,plain,
    ( ~ spl0_13
    | ~ spl0_64
    | ~ spl0_110
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2239]) ).

cnf(s512,plain,
    ( ~ spl0_11
    | spl0_108
    | spl0_109
    | spl0_155 ),
    inference(sat_conversion,[],[f2245]) ).

cnf(s513,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | spl0_124
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f2267]) ).

cnf(s514,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | spl0_139
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f2268]) ).

cnf(s515,plain,
    ( ~ spl0_9
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f2269]) ).

cnf(s521,plain,
    ( ~ spl0_7
    | ~ spl0_63
    | spl0_108
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2274]) ).

cnf(s522,plain,
    ( ~ spl0_8
    | spl0_144
    | spl0_146
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2275]) ).

cnf(s523,plain,
    ( ~ spl0_8
    | spl0_108
    | spl0_109
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2276]) ).

cnf(s534,plain,
    ( ~ spl0_18
    | ~ spl0_90
    | spl0_91
    | spl0_120 ),
    inference(sat_conversion,[],[f2283]) ).

cnf(s538,plain,
    ( ~ spl0_10
    | spl0_123
    | spl0_124
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f2287]) ).

cnf(s543,plain,
    ( ~ spl0_18
    | spl0_19
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f2387]) ).

cnf(s544,plain,
    ( ~ spl0_13
    | ~ spl0_83
    | ~ spl0_84
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f2388]) ).

cnf(s546,plain,
    ( ~ spl0_13
    | ~ spl0_95
    | ~ spl0_127
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f2390]) ).

cnf(s550,plain,
    ( ~ spl0_7
    | ~ spl0_13
    | ~ spl0_84
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f2394]) ).

cnf(s551,plain,
    ( ~ spl0_7
    | ~ spl0_13
    | ~ spl0_129
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f2395]) ).

cnf(s556,plain,
    ( ~ spl0_21
    | ~ spl0_80
    | ~ spl0_81
    | spl0_82 ),
    inference(sat_conversion,[],[f2400]) ).

cnf(s558,plain,
    ( ~ spl0_21
    | ~ spl0_90
    | spl0_91
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2402]) ).

cnf(s559,plain,
    ( ~ spl0_23
    | ~ spl0_63
    | spl0_109
    | spl0_155 ),
    inference(sat_conversion,[],[f2403]) ).

cnf(s565,plain,
    ( ~ spl0_25
    | ~ spl0_102
    | spl0_103
    | spl0_135 ),
    inference(sat_conversion,[],[f2409]) ).

cnf(s566,plain,
    ( ~ spl0_25
    | spl0_86
    | spl0_119
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2410]) ).

cnf(s571,plain,
    ( ~ spl0_5
    | ~ spl0_9
    | ~ spl0_84
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f2415]) ).

cnf(s573,plain,
    ( ~ spl0_18
    | ~ spl0_93
    | spl0_123
    | spl0_158 ),
    inference(sat_conversion,[],[f2417]) ).

cnf(s575,plain,
    ( ~ spl0_21
    | ~ spl0_84
    | ~ spl0_85
    | spl0_154 ),
    inference(sat_conversion,[],[f2504]) ).

cnf(s588,plain,
    ( ~ spl0_21
    | ~ spl0_23
    | ~ spl0_88
    | spl0_89 ),
    inference(sat_conversion,[],[f2544]) ).

cnf(s591,plain,
    ( ~ spl0_1
    | ~ spl0_97
    | ~ spl0_129
    | spl0_171 ),
    inference(sat_conversion,[],[f2547]) ).

cnf(s607,plain,
    ( ~ spl0_6
    | ~ spl0_70
    | ~ spl0_71
    | spl0_176 ),
    inference(sat_conversion,[],[f2563]) ).

cnf(s608,plain,
    ( ~ spl0_8
    | spl0_121
    | ~ spl0_122
    | spl0_165 ),
    inference(sat_conversion,[],[f2564]) ).

cnf(s609,plain,
    ( ~ spl0_11
    | spl0_106
    | spl0_137
    | spl0_138 ),
    inference(sat_conversion,[],[f2565]) ).

cnf(s613,plain,
    ( ~ spl0_11
    | spl0_86
    | spl0_119
    | spl0_164 ),
    inference(sat_conversion,[],[f2569]) ).

cnf(s615,plain,
    ( ~ spl0_16
    | ~ spl0_100
    | spl0_131
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f2571]) ).

cnf(s617,plain,
    ( ~ spl0_16
    | spl0_121
    | ~ spl0_122
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2573]) ).

cnf(s618,plain,
    ( ~ spl0_17
    | ~ spl0_98
    | spl0_99
    | spl0_130 ),
    inference(sat_conversion,[],[f2574]) ).

cnf(s620,plain,
    ( ~ spl0_19
    | spl0_144
    | spl0_145
    | spl0_160 ),
    inference(sat_conversion,[],[f2576]) ).

cnf(s621,plain,
    ( ~ spl0_19
    | spl0_101
    | spl0_133
    | spl0_134 ),
    inference(sat_conversion,[],[f2577]) ).

cnf(s622,plain,
    ( ~ spl0_19
    | spl0_123
    | spl0_124
    | spl0_158 ),
    inference(sat_conversion,[],[f2578]) ).

cnf(s624,plain,
    ( ~ spl0_19
    | spl0_91
    | spl0_120
    | spl0_168 ),
    inference(sat_conversion,[],[f2580]) ).

cnf(s625,plain,
    ( ~ spl0_19
    | spl0_69
    | spl0_112
    | spl0_162 ),
    inference(sat_conversion,[],[f2581]) ).

cnf(s639,plain,
    ( ~ spl0_5
    | ~ spl0_92
    | spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f2595]) ).

cnf(s647,plain,
    ( ~ spl0_6
    | ~ spl0_104
    | ~ spl0_105
    | spl0_136 ),
    inference(sat_conversion,[],[f2666]) ).

cnf(s650,plain,
    ( ~ spl0_29
    | ~ spl0_70
    | ~ spl0_71
    | spl0_72 ),
    inference(sat_conversion,[],[f2778]) ).

cnf(s654,plain,
    ( ~ spl0_27
    | spl0_28
    | ~ spl0_29 ),
    inference(sat_conversion,[],[f2782]) ).

cnf(s655,plain,
    ( ~ spl0_23
    | spl0_28
    | ~ spl0_29 ),
    inference(sat_conversion,[],[f2783]) ).

cnf(s665,plain,
    ( ~ spl0_12
    | ~ spl0_102
    | spl0_135
    | spl0_173 ),
    inference(sat_conversion,[],[f2792]) ).

cnf(s667,plain,
    ( ~ spl0_12
    | spl0_118
    | spl0_119
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2794]) ).

cnf(s669,plain,
    ( ~ spl0_27
    | ~ spl0_102
    | spl0_135
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f2796]) ).

cnf(s674,plain,
    ( ~ spl0_6
    | ~ spl0_68
    | spl0_112
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2801]) ).

cnf(s683,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_10 ),
    inference(sat_conversion,[],[f2810]) ).

cnf(s686,plain,
    ( ~ spl0_31
    | ~ spl0_83
    | ~ spl0_84
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f2918]) ).

cnf(s691,plain,
    ( ~ spl0_43
    | spl0_86
    | spl0_118
    | spl0_119 ),
    inference(sat_conversion,[],[f2947]) ).

cnf(s694,plain,
    ( ~ spl0_43
    | spl0_103
    | spl0_135
    | spl0_173 ),
    inference(sat_conversion,[],[f2950]) ).

cnf(s695,plain,
    ( ~ spl0_6
    | spl0_17
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f2951]) ).

cnf(s696,plain,
    ( ~ spl0_6
    | ~ spl0_94
    | spl0_125
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f2952]) ).

cnf(s697,plain,
    ( ~ spl0_27
    | ~ spl0_73
    | ~ spl0_74
    | spl0_113 ),
    inference(sat_conversion,[],[f2953]) ).

cnf(s701,plain,
    ( spl0_26
    | ~ spl0_12
    | spl0_3
    | spl0_2 ),
    inference(rat,[],[s18,s669,s565,s665,s112,s113,s145,s33]) ).

cnf(s702,plain,
    ( ~ spl0_48
    | ~ spl0_9
    | ~ spl0_5 ),
    inference(rat,[],[s292,s74,s120]) ).

cnf(s703,plain,
    ( spl0_40
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(rat,[],[s669,s665,s112,s145]) ).

cnf(s705,plain,
    ( spl0_38
    | ~ spl0_4 ),
    inference(rat,[],[s386,s157,s158,s159]) ).

cnf(s706,plain,
    ( ~ spl0_60
    | ~ spl0_21 ),
    inference(rat,[],[s556,s90,s91,s92]) ).

cnf(s708,plain,
    ( ~ spl0_39
    | ~ spl0_26
    | ~ spl0_16 ),
    inference(rat,[],[s424,s110,s142]) ).

cnf(s709,plain,
    ( spl0_44
    | ~ spl0_16
    | ~ spl0_8 ),
    inference(rat,[],[s608,s617,s131,s132]) ).

cnf(s710,plain,
    ( ~ spl0_35
    | ~ spl0_28 ),
    inference(rat,[],[s443,s97,s98,s99]) ).

cnf(s711,plain,
    ( ~ spl0_62
    | spl0_48
    | ~ spl0_8
    | spl0_3
    | spl0_2 ),
    inference(rat,[],[s615,s110,s141,s142,s169,s710,s709,s8,s464,s76,s77,s121,s40,s328,s441,s90,s91,s92,s71,s200]) ).

cnf(s712,plain,
    ( spl0_7
    | spl0_6
    | spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s571,s575,s94,s95,s65,s588,s98,s99,s29,s13,s620,s451,s283,s522,s154,s155,s156,s711,s702,s3,s9,s2]) ).

cnf(s713,plain,
    ( spl0_48
    | ~ spl0_62
    | spl0_6
    | spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s694,s669,s112,s113,s145,s33,s291,s46,s26,s650,s117,s150,s710,s80,s81,s82,s48,s71,s166,s711,s42]) ).

cnf(s714,plain,
    ( ~ spl0_62
    | spl0_6
    | spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s19,s441,s701,s328,s492,s20,s408,s74,s120,s713,s90,s91,s92,s200,s2,s712]) ).

cnf(s715,plain,
    ( spl0_54
    | ~ spl0_13
    | ~ spl0_21
    | ~ spl0_7 ),
    inference(rat,[],[s550,s575,s94,s95]) ).

cnf(s716,plain,
    ( spl0_6
    | spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s408,s74,s120,s65,s715,s588,s492,s98,s99,s701,s29,s5,s620,s13,s451,s385,s283,s154,s155,s156,s714,s712,s2,s1]) ).

cnf(s717,plain,
    ( spl0_48
    | ~ spl0_62
    | ~ spl0_6
    | spl0_3 ),
    inference(rat,[],[s440,s607,s80,s81,s82,s71,s166]) ).

cnf(s718,plain,
    ( ~ spl0_39
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(rat,[],[s382,s479,s141,s142]) ).

cnf(s719,plain,
    ( spl0_13
    | spl0_39
    | ~ spl0_5
    | spl0_3
    | spl0_2 ),
    inference(rat,[],[s701,s32,s492]) ).

cnf(s720,plain,
    ( spl0_54
    | ~ spl0_31 ),
    inference(rat,[],[s686,s93,s94,s95]) ).

cnf(s721,plain,
    ( spl0_48
    | ~ spl0_54
    | ~ spl0_6
    | ~ spl0_4
    | spl0_3
    | spl0_2 ),
    inference(rat,[],[s588,s98,s99,s29,s620,s13,s451,s385,s283,s154,s155,s156,s65,s717]) ).

cnf(s722,plain,
    ( spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s9,s408,s702,s74,s120,s721,s720,s719,s43,s718,s716,s1,s2]) ).

cnf(s723,plain,
    ~ spl0_3,
    inference(rat,[],[s200,s179,s197]) ).

cnf(s724,plain,
    ( spl0_35
    | ~ spl0_8
    | spl0_1 ),
    inference(rat,[],[s615,s110,s141,s142,s169,s709,s26,s723]) ).

cnf(s725,plain,
    ( spl0_7
    | spl0_6
    | spl0_48
    | ~ spl0_5
    | spl0_1 ),
    inference(rat,[],[s571,s575,s94,s95,s65,s588,s17,s349,s522,s154,s156,s71,s710,s98,s99,s724,s3,s9,s324,s723]) ).

cnf(s726,plain,
    ( spl0_44
    | ~ spl0_5 ),
    inference(rat,[],[s639,s102,s131,s132]) ).

cnf(s727,plain,
    ( spl0_35
    | ~ spl0_44
    | spl0_1 ),
    inference(rat,[],[s615,s110,s141,s142,s169,s26,s723]) ).

cnf(s729,plain,
    ( spl0_51
    | ~ spl0_16
    | ~ spl0_26 ),
    inference(rat,[],[s291,s117,s150]) ).

cnf(s730,plain,
    ( ~ spl0_37
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(rat,[],[s416,s138,s139]) ).

cnf(s731,plain,
    ( ~ spl0_41
    | ~ spl0_2 ),
    inference(rat,[],[s396,s103,s133,s134]) ).

cnf(s732,plain,
    ( ~ spl0_8
    | spl0_21
    | spl0_6
    | spl0_62
    | spl0_1 ),
    inference(rat,[],[s534,s100,s101,s130,s62,s618,s108,s109,s140,s53,s730,s17,s14,s451,s620,s522,s731,s722,s156,s155,s154,s723]) ).

cnf(s733,plain,
    ( spl0_32
    | ~ spl0_18 ),
    inference(rat,[],[s534,s100,s101,s130]) ).

cnf(s734,plain,
    ( ~ spl0_37
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_7 ),
    inference(rat,[],[s551,s418,s138,s139]) ).

cnf(s735,plain,
    ( spl0_30
    | ~ spl0_17 ),
    inference(rat,[],[s108,s618,s109,s140]) ).

cnf(s736,plain,
    ( spl0_19
    | ~ spl0_13
    | ~ spl0_7
    | spl0_6
    | spl0_1 ),
    inference(rat,[],[s734,s22,s53,s735,s62,s733,s14,s731,s722,s723]) ).

cnf(s737,plain,
    ( spl0_36
    | ~ spl0_19 ),
    inference(rat,[],[s621,s111,s143,s144]) ).

cnf(s738,plain,
    ( spl0_53
    | ~ spl0_43 ),
    inference(rat,[],[s691,s96,s128,s129]) ).

cnf(s739,plain,
    ( spl0_6
    | spl0_48
    | ~ spl0_5
    | spl0_1 ),
    inference(rat,[],[s35,s736,s297,s737,s52,s738,s46,s654,s725,s42,s731,s722,s710,s727,s726,s723]) ).

cnf(s741,plain,
    ( ~ spl0_29
    | spl0_21
    | spl0_48
    | spl0_28 ),
    inference(rat,[],[s720,s23,s65,s654,s655,s723]) ).

cnf(s742,plain,
    ( ~ spl0_30
    | spl0_19
    | ~ spl0_13
    | ~ spl0_7
    | spl0_1 ),
    inference(rat,[],[s734,s22,s53,s723]) ).

cnf(s743,plain,
    ( spl0_17
    | ~ spl0_6
    | spl0_48
    | spl0_28
    | ~ spl0_2 ),
    inference(rat,[],[s397,s558,s741,s100,s101,s130,s46,s62,s695,s731,s723]) ).

cnf(s744,plain,
    ( spl0_48
    | ~ spl0_5
    | spl0_1 ),
    inference(rat,[],[s571,s575,s94,s95,s65,s9,s588,s742,s17,s35,s297,s737,s52,s738,s46,s475,s654,s107,s138,s139,s68,s53,s735,s743,s739,s731,s722,s99,s98,s710,s727,s726,s723]) ).

cnf(s745,plain,
    ( ~ spl0_5
    | spl0_1 ),
    inference(rat,[],[s674,s625,s19,s78,s79,s122,s667,s36,s613,s738,s96,s128,s129,s52,s737,s297,s35,s492,s408,s9,s702,s74,s120,s744,s710,s727,s726,s731,s722,s723]) ).

cnf(s746,plain,
    ( spl0_35
    | ~ spl0_7
    | spl0_1 ),
    inference(rat,[],[s393,s617,s102,s131,s132,s727,s26,s723]) ).

cnf(s747,plain,
    ( ~ spl0_7
    | spl0_6
    | spl0_48
    | spl0_1 ),
    inference(rat,[],[s35,s736,s297,s737,s52,s738,s46,s654,s710,s746,s731,s722,s42,s723]) ).

cnf(s748,plain,
    ( spl0_6
    | spl0_48
    | spl0_1 ),
    inference(rat,[],[s397,s558,s100,s101,s130,s62,s732,s735,s71,s53,s710,s730,s724,s3,s747,s7,s731,s722,s745,s723]) ).

cnf(s750,plain,
    ( spl0_28
    | spl0_48
    | spl0_1 ),
    inference(rat,[],[s544,s575,s93,s94,s95,s65,s588,s98,s99,s17,s35,s29,s297,s737,s52,s738,s46,s475,s654,s107,s138,s139,s68,s53,s735,s743,s731,s722,s748,s723]) ).

cnf(s751,plain,
    ( spl0_48
    | spl0_1 ),
    inference(rat,[],[s435,s27,s624,s385,s737,s100,s101,s130,s451,s297,s24,s35,s546,s421,s105,s106,s137,s61,s729,s48,s724,s26,s710,s750,s154,s155,s156,s717,s748,s731,s722,s723]) ).

cnf(s752,plain,
    ( spl0_50
    | spl0_1 ),
    inference(rat,[],[s521,s512,s73,s118,s119,s35,s408,s9,s515,s75,s74,s120,s751,s731,s722,s723]) ).

cnf(s753,plain,
    ( spl0_32
    | spl0_1 ),
    inference(rat,[],[s697,s47,s83,s84,s123,s558,s41,s624,s733,s100,s101,s130,s738,s52,s737,s297,s35,s408,s9,s515,s75,s74,s120,s751,s731,s722,s752,s723]) ).

cnf(s756,plain,
    ( ~ spl0_47
    | ~ spl0_27 ),
    inference(rat,[],[s697,s83,s84,s123]) ).

cnf(s758,plain,
    ( spl0_57
    | ~ spl0_8 ),
    inference(rat,[],[s412,s151,s152,s153]) ).

cnf(s759,plain,
    spl0_1,
    inference(rat,[],[s647,s114,s115,s146,s59,s758,s24,s753,s19,s667,s246,s96,s128,s129,s52,s737,s297,s35,s710,s408,s746,s9,s515,s74,s75,s120,s751,s731,s722,s723]) ).

cnf(s760,plain,
    ( ~ spl0_59
    | ~ spl0_6 ),
    inference(rat,[],[s647,s114,s115,s146]) ).

cnf(s761,plain,
    ( spl0_13
    | spl0_59
    | ~ spl0_2 ),
    inference(rat,[],[s27,s435,s397,s514,s100,s130,s149,s150,s24,s48,s737,s758,s297,s59,s35,s731,s723,s759]) ).

cnf(s762,plain,
    ( ~ spl0_48
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(rat,[],[s408,s74,s120]) ).

cnf(s763,plain,
    ( ~ spl0_37
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(rat,[],[s591,s551,s107,s139,s759]) ).

cnf(s764,plain,
    ( spl0_42
    | ~ spl0_19
    | ~ spl0_6 ),
    inference(rat,[],[s674,s625,s78,s79,s122]) ).

cnf(s767,plain,
    ( spl0_40
    | ~ spl0_25 ),
    inference(rat,[],[s565,s112,s113,s145]) ).

cnf(s768,plain,
    ( ~ spl0_55
    | ~ spl0_13 ),
    inference(rat,[],[s546,s374,s105,s106,s137,s759]) ).

cnf(s769,plain,
    ( spl0_28
    | spl0_48
    | ~ spl0_6
    | ~ spl0_2 ),
    inference(rat,[],[s694,s669,s46,s112,s113,s145,s654,s165,s68,s735,s743,s768,s761,s760,s723]) ).

cnf(s770,plain,
    ( ~ spl0_11
    | spl0_35
    | spl0_144
    | spl0_145
    | spl0_146
    | ~ spl0_2 ),
    inference(rat,[],[s435,s397,s100,s130,s31,s566,s217,s96,s129,s163,s27,s522,s385,s737,s349,s297,s723]) ).

cnf(s771,plain,
    ( ~ spl0_7
    | ~ spl0_6
    | ~ spl0_2 ),
    inference(rat,[],[s48,s522,s729,s620,s28,s29,s770,s710,s769,s61,s763,s154,s155,s156,s717,s762,s768,s761,s760,s723]) ).

cnf(s772,plain,
    ( ~ spl0_8
    | spl0_28
    | ~ spl0_42
    | ~ spl0_6
    | ~ spl0_2 ),
    inference(rat,[],[s696,s322,s104,s135,s136,s57,s695,s735,s68,s654,s72,s758,s208,s723]) ).

cnf(s773,plain,
    ( spl0_32
    | ~ spl0_15
    | ~ spl0_2 ),
    inference(rat,[],[s435,s397,s100,s130]) ).

cnf(s774,plain,
    ( spl0_8
    | ~ spl0_36
    | spl0_55
    | ~ spl0_2 ),
    inference(rat,[],[s165,s767,s735,s31,s62,s773,s27,s514,s149,s150,s48,s731,s723,s759]) ).

cnf(s775,plain,
    ( ~ spl0_19
    | ~ spl0_6
    | ~ spl0_2 ),
    inference(rat,[],[s696,s322,s104,s135,s136,s57,s738,s163,s710,s772,s758,s208,s774,s764,s737,s768,s761,s760,s723]) ).

cnf(s776,plain,
    ( ~ spl0_30
    | spl0_55 ),
    inference(rat,[],[s694,s669,s56,s112,s113,s145,s756,s165,s68,s723]) ).

cnf(s777,plain,
    ( ~ spl0_6
    | ~ spl0_2 ),
    inference(rat,[],[s324,s17,s11,s558,s397,s733,s100,s101,s130,s62,s735,s776,s297,s775,s771,s768,s761,s760,s731,s723]) ).

cnf(s778,plain,
    ( ~ spl0_58
    | ~ spl0_11 ),
    inference(rat,[],[s609,s116,s147,s148]) ).

cnf(s779,plain,
    ( spl0_13
    | ~ spl0_2 ),
    inference(rat,[],[s336,s160,s161,s162,s168,s778,s208,s735,s24,s62,s733,s20,s35,s731,s777,s723]) ).

cnf(s780,plain,
    ( spl0_62
    | ~ spl0_2 ),
    inference(rat,[],[s620,s385,s154,s155,s156,s27,s737,s14,s733,s777,s773,s62,s735,s776,s768,s779,s731,s723]) ).

cnf(s781,plain,
    ( spl0_50
    | ~ spl0_11
    | ~ spl0_8 ),
    inference(rat,[],[s523,s512,s118,s119]) ).

cnf(s782,plain,
    ( ~ spl0_50
    | ~ spl0_2 ),
    inference(rat,[],[s19,s703,s710,s164,s163,s738,s56,s756,s47,s558,s397,s130,s100,s101,s737,s14,s733,s62,s735,s776,s768,s779,s731,s777,s723]) ).

cnf(s783,plain,
    ( ~ spl0_48
    | ~ spl0_2 ),
    inference(rat,[],[s294,s506,s74,s75,s120,s17,s781,s782,s774,s737,s14,s733,s777,s558,s397,s130,s100,s101,s62,s735,s776,s768,s779,s731,s723]) ).

cnf(s784,plain,
    ~ spl0_2,
    inference(rat,[],[s169,s710,s708,s71,s61,s783,s709,s28,s730,s17,s781,s782,s780,s774,s737,s14,s558,s397,s733,s100,s101,s130,s62,s735,s776,s768,s779,s777,s731,s723]) ).

cnf(s785,plain,
    ( spl0_8
    | spl0_13 ),
    inference(rat,[],[s694,s669,s112,s113,s145,s33,s41,s729,s756,s8,s68,s464,s735,s76,s77,s121,s10,s40,s514,s733,s149,s150,s24,s48,s784,s723,s759]) ).

cnf(s786,plain,
    ( spl0_151
    | ~ spl0_10 ),
    inference(rat,[],[s336,s160,s161,s162]) ).

cnf(s787,plain,
    ( spl0_58
    | spl0_13 ),
    inference(rat,[],[s622,s513,s133,s134,s62,s735,s168,s543,s30,s767,s58,s733,s20,s705,s6,s760,s59,s758,s786,s683,s785,s759,s723]) ).

cnf(s788,plain,
    ( spl0_6
    | spl0_13 ),
    inference(rat,[],[s573,s513,s103,s133,s134,s35,s778,s787,s6,s20,s723,s759]) ).

cnf(s789,plain,
    ( ~ spl0_57
    | spl0_13 ),
    inference(rat,[],[s788,s760,s59,s723]) ).

cnf(s790,plain,
    spl0_13,
    inference(rat,[],[s789,s758,s785]) ).

cnf(s791,plain,
    ~ spl0_55,
    inference(rat,[],[s768,s790]) ).

cnf(s792,plain,
    ~ spl0_30,
    inference(rat,[],[s776,s791]) ).

cnf(s796,plain,
    ~ spl0_17,
    inference(rat,[],[s735,s792]) ).

cnf(s797,plain,
    ( ~ spl0_8
    | ~ spl0_6 ),
    inference(rat,[],[s696,s322,s104,s135,s136,s57,s683,s758,s695,s723,s759,s796]) ).

cnf(s798,plain,
    ~ spl0_6,
    inference(rat,[],[s464,s76,s77,s121,s40,s8,s733,s729,s31,s48,s797,s18,s756,s56,s286,s695,s784,s723,s791,s796]) ).

cnf(s799,plain,
    ( spl0_62
    | ~ spl0_19
    | ~ spl0_10 ),
    inference(rat,[],[s417,s620,s154,s155]) ).

cnf(s800,plain,
    ( ~ spl0_19
    | ~ spl0_50
    | ~ spl0_10 ),
    inference(rat,[],[s19,s703,s710,s164,s163,s738,s56,s756,s47,s706,s200,s799,s737,s723,s798,s791]) ).

cnf(s801,plain,
    ( ~ spl0_50
    | ~ spl0_10 ),
    inference(rat,[],[s573,s538,s103,s133,s134,s62,s733,s14,s800,s798,s796,s723]) ).

cnf(s802,plain,
    ( ~ spl0_8
    | ~ spl0_11 ),
    inference(rat,[],[s801,s781,s683,s759]) ).

cnf(s803,plain,
    ( spl0_50
    | ~ spl0_11 ),
    inference(rat,[],[s521,s512,s73,s118,s119,s3,s802,s798,s723]) ).

cnf(s804,plain,
    ~ spl0_11,
    inference(rat,[],[s694,s669,s112,s113,s145,s164,s803,s738,s56,s756,s42,s762,s3,s802,s791,s723,s798,s790]) ).

cnf(s805,plain,
    spl0_12,
    inference(rat,[],[s5,s723,s784,s804]) ).

cnf(s806,plain,
    spl0_26,
    inference(rat,[],[s701,s784,s723,s805]) ).

cnf(s807,plain,
    ~ spl0_8,
    inference(rat,[],[s573,s538,s103,s133,s134,s62,s733,s15,s559,s523,s73,s118,s119,s801,s683,s723,s796,s784,s759]) ).

cnf(s808,plain,
    ~ spl0_51,
    inference(rat,[],[s48,s723,s807]) ).

cnf(s809,plain,
    spl0_7,
    inference(rat,[],[s3,s798,s723,s807]) ).

cnf(s813,plain,
    ~ spl0_16,
    inference(rat,[],[s729,s806,s808]) ).

cnf(s815,plain,
    ~ spl0_37,
    inference(rat,[],[s763,s790,s809]) ).

cnf(s817,plain,
    $false,
    inference(rat,[],[s28,s804,s723,s815,s813]) ).

fof(f2957,plain,
    $false,
    inference(avatar_sat_refutation,[],[s817]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN500-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18  % Computer : n003.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Mon Sep 28 16:19:13 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22  Running first-order model finding
% 0.07/0.22  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  % (1730144)Will run a generic schedule for satisfiability detection.
% 0.19/0.32  % (1730149)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2533828917_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.32  % Detected minimum model sizes of [1]
% 0.19/0.32  % Detected maximum model sizes of [30]
% 0.19/0.32  % TRYING [1]
% 0.19/0.32  % TRYING [2]
% 0.19/0.32  % (1730150)% WARNING: option uhcvi not known.
% 0.19/0.32  % TRYING [3]
% 0.19/0.32  % (1730150)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4173177698:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.32  % (1730151)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3902936640:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.32  % (1730152)dis+10_1_sil=32000:sp=arity:random_seed=3706259046:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.32  % (1730153)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4133701262:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.32  % (1730154)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1398344704:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.32  % (1730155)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=463453809:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.32  % TRYING [4]
% 0.19/0.32  % TRYING [5]
% 0.19/0.32  % (1730155) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1730144-1730155"...
% 0.19/0.32  % (1730155)...printing done.
% 0.19/0.32  % (1730155)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  % (1730155)------------------------------
% 0.19/0.33  % (1730155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.33  % (1730155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.33  % (1730155)CaDiCaL version: 2.1.3
% 0.19/0.33  % (1730155)Termination reason: Refutation
% 0.19/0.33  % (1730155)Time elapsed: 0.040 s
% 0.19/0.33  % (1730155)Peak memory usage: 13 MB
% 0.19/0.33  % (1730155)Instructions burned: 64 (million)
% 0.19/0.33  % (1730144)Success in time 0.092 s
% 0.19/0.33  % Vampire exiting
%------------------------------------------------------------------------------