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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN466-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:53:05 PM UTC 2026

% Result   : Unsatisfiable 2.95s 0.85s
% Output   : Refutation 3.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :  232
% Syntax   : Number of formulae    :  807 (  25 unt; 128 def)
%            Number of atoms       : 2531 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3052 (1328   ~;1596   |;   0   &)
%                                         ( 128 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  156 ( 155 usr; 152 prp; 0-1 aty)
%            Number of functors    :   22 (  22 usr;  22 con; 0-0 aty)
%            Number of variables   :  143 (   0 sgn 143   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
    ( ~ hskp31
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

fof(f3,negated_conjecture,
    ( ~ hskp30
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

fof(f9,negated_conjecture,
    ( ~ hskp24
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).

fof(f34,negated_conjecture,
    ( hskp31
    | hskp30
    | hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f35,negated_conjecture,
    ( hskp5
    | hskp15
    | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

fof(f36,negated_conjecture,
    ( hskp5
    | hskp16
    | hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f37,negated_conjecture,
    ( hskp5
    | hskp4
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f41,negated_conjecture,
    ( ~ hskp31
    | c0_1(a141) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( ~ hskp31
    | c1_1(a141) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( ~ hskp31
    | c3_1(a141) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp30
    | c0_1(a131) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp30
    | c2_1(a131) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp30
    | c3_1(a131) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp29
    | c0_1(a128) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp29
    | c1_1(a128) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp29
    | c2_1(a128) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( ~ hskp28
    | c1_1(a118) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp28
    | c2_1(a118) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp28
    | c3_1(a118) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f55,negated_conjecture,
    ( ~ hskp25
    | c1_1(a167) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( ~ hskp21
    | c3_1(a143) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( ~ hskp20
    | c0_1(a139) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( ~ hskp19
    | c0_1(a135) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f62,negated_conjecture,
    ( ~ hskp16
    | c1_1(a126) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp16
    | c3_1(a126) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp15
    | c0_1(a117) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( ~ hskp15
    | c3_1(a117) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f68,negated_conjecture,
    ( ~ hskp13
    | c1_1(a114) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp13
    | c2_1(a114) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp12
    | c3_1(a113) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp11
    | c1_1(a112) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp9
    | c2_1(a110) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f74,negated_conjecture,
    ( ~ hskp7
    | c1_1(a108) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp7
    | c3_1(a108) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f78,negated_conjecture,
    ( ~ hskp5
    | c0_1(a106) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp5
    | c1_1(a106) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp4
    | c2_1(a105) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp4
    | c3_1(a105) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp3
    | c0_1(a104) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ hskp3
    | c2_1(a104) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f86,negated_conjecture,
    ( ~ hskp1
    | c2_1(a102) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ hskp0
    | c2_1(a101) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ hskp0
    | c3_1(a101) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f94,negated_conjecture,
    ( ~ c2_1(a167)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ c1_1(a163)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ c2_1(a163)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ c3_1(a163)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f104,negated_conjecture,
    ( ~ c1_1(a143)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ c2_1(a143)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c1_1(a139)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c3_1(a139)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c2_1(a135)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ c3_1(a135)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f113,negated_conjecture,
    ( ~ c2_1(a126)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c1_1(a117)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f116,negated_conjecture,
    ( ~ c3_1(a114)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c0_1(a113)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c2_1(a113)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ c2_1(a112)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ c3_1(a112)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c0_1(a111)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c2_1(a111)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ c3_1(a111)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ c1_1(a110)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ c3_1(a110)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f130,negated_conjecture,
    ( ~ c2_1(a106)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ( ~ c1_1(a105)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( ~ c1_1(a104)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f134,negated_conjecture,
    ( ~ c0_1(a102)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f135,negated_conjecture,
    ( ~ c1_1(a102)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f136,negated_conjecture,
    ( ~ c0_1(a101)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

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

fof(f141,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp15
      | hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp15
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f144,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp15
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f149,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp29
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f150,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp29
      | hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f151,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp31
      | hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f155,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp4
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f156,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp29
      | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f157,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp1
      | hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f161,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp19
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f163,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f164,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f168,negated_conjecture,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X0)
      | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f170,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f172,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X1)
      | c1_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f180,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f184,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f185,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c1_1(X1)
      | hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f187,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/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)
      | c0_1(X1)
      | c1_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f207,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f208,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f207]) ).

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

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

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

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

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

fof(f217,definition,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f218,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f217]) ).

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

fof(f221,definition,
    ( spl0_8
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f222,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f224,definition,
    ( spl0_9
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f225,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f226,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f194,f201,f204,f224,f221]) ).

fof(f228,definition,
    ( spl0_10
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f229,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f231,definition,
    ( spl0_11
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f232,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f233,plain,
    ( spl0_1
    | spl0_10
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f193,f231,f204,f228,f198]) ).

fof(f235,definition,
    ( spl0_12
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f236,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f238,definition,
    ( spl0_13
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f239,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f240,plain,
    ( spl0_12
    | spl0_13
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f192,f207,f204,f238,f235]) ).

fof(f242,definition,
    ( spl0_14
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f243,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f245,definition,
    ( spl0_15
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f246,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f247,plain,
    ( spl0_14
    | spl0_13
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f191,f245,f204,f238,f242]) ).

fof(f249,definition,
    ( spl0_16
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f250,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f252,definition,
    ( spl0_17
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f253,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f254,plain,
    ( spl0_14
    | spl0_16
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f190,f252,f204,f249,f242]) ).

fof(f256,definition,
    ( spl0_18
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f257,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f258,plain,
    ( spl0_1
    | spl0_18
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f189,f214,f204,f256,f198]) ).

fof(f260,definition,
    ( spl0_19
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f261,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f263,definition,
    ( spl0_20
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f264,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f265,plain,
    ( spl0_19
    | spl0_20
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f188,f207,f204,f263,f260]) ).

fof(f267,definition,
    ( spl0_21
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f268,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f270,definition,
    ( spl0_22
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f271,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f273,definition,
    ( spl0_23
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f274,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f275,plain,
    ( spl0_21
    | spl0_22
    | ~ spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f187,f273,f204,f270,f267]) ).

fof(f277,definition,
    ( spl0_24
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f281,definition,
    ( spl0_25
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f284,definition,
    ( spl0_26
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f285,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f286,plain,
    ( spl0_25
    | spl0_5
    | ~ spl0_3
    | spl0_26 ),
    inference(avatar_split_clause,[],[f185,f284,f204,f211,f281]) ).

fof(f288,definition,
    ( spl0_27
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f290,plain,
    ( spl0_27
    | spl0_6
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f184,f245,f204,f214,f288]) ).

fof(f307,definition,
    ( spl0_32
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f309,plain,
    ( spl0_32
    | spl0_5
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f180,f252,f204,f211,f307]) ).

fof(f311,definition,
    ( spl0_33
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f313,plain,
    ( spl0_33
    | spl0_18
    | ~ spl0_3
    | spl0_26 ),
    inference(avatar_split_clause,[],[f179,f284,f204,f256,f311]) ).

fof(f315,definition,
    ( spl0_34
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f318,definition,
    ( spl0_35
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f319,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f325,plain,
    ( spl0_34
    | spl0_20
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f176,f231,f204,f263,f315]) ).

fof(f336,definition,
    ( spl0_39
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f339,definition,
    ( spl0_40
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f340,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f341,plain,
    ( spl0_39
    | spl0_40
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f172,f231,f204,f339,f336]) ).

fof(f344,definition,
    ( spl0_41
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f347,definition,
    ( spl0_42
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f348,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f349,plain,
    ( spl0_41
    | spl0_18
    | ~ spl0_3
    | spl0_42 ),
    inference(avatar_split_clause,[],[f170,f347,f204,f256,f344]) ).

fof(f351,definition,
    ( spl0_43
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f354,plain,
    ( spl0_43
    | spl0_12
    | spl0_35
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f168,f204,f318,f235,f351]) ).

fof(f363,definition,
    ( spl0_46
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f366,definition,
    ( spl0_47
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f367,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f373,plain,
    ( spl0_24
    | spl0_19
    | ~ spl0_3
    | spl0_35 ),
    inference(avatar_split_clause,[],[f164,f318,f204,f260,f277]) ).

fof(f375,definition,
    ( spl0_49
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f377,plain,
    ( spl0_49
    | spl0_19
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f163,f198,f204,f260,f375]) ).

fof(f379,definition,
    ( spl0_50
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f383,definition,
    ( spl0_51
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f385,plain,
    ( spl0_46
    | spl0_51
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f161,f201,f204,f383,f363]) ).

fof(f387,definition,
    ( spl0_52
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f393,definition,
    ( spl0_53
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f395,plain,
    ( spl0_53
    | spl0_24
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f157,f214,f204,f277,f393]) ).

fof(f397,definition,
    ( spl0_54
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f399,plain,
    ( spl0_52
    | spl0_54
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f156,f214,f204,f397,f387]) ).

fof(f400,plain,
    ( spl0_34
    | spl0_52
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f155,f252,f204,f387,f315]) ).

fof(f406,definition,
    ( spl0_56
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f410,definition,
    ( spl0_57
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f413,plain,
    ( spl0_56
    | spl0_25
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f151,f252,f204,f281,f406]) ).

fof(f415,definition,
    ( spl0_58
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f417,plain,
    ( spl0_58
    | spl0_54
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f150,f211,f204,f397,f415]) ).

fof(f418,plain,
    ( spl0_46
    | spl0_54
    | ~ spl0_3
    | spl0_35 ),
    inference(avatar_split_clause,[],[f149,f318,f204,f397,f363]) ).

fof(f426,plain,
    ( spl0_49
    | spl0_57
    | ~ spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f144,f270,f204,f410,f375]) ).

fof(f427,plain,
    ( spl0_34
    | spl0_57
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f143,f242,f204,f410,f315]) ).

fof(f428,plain,
    ( spl0_56
    | spl0_57
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f142,f228,f204,f410,f406]) ).

fof(f429,plain,
    ( spl0_51
    | ~ spl0_3
    | spl0_47 ),
    inference(avatar_split_clause,[],[f141,f366,f204,f383]) ).

fof(f431,definition,
    ( spl0_60
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f436,definition,
    ( spl0_61
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f438,plain,
    ( spl0_52
    | spl0_61
    | spl0_19
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f138,f204,f260,f436,f387]) ).

fof(f440,definition,
    ( spl0_62
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f442,plain,
    ( spl0_62
    | spl0_21
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f137,f204,f267,f440]) ).

fof(f445,definition,
    ( spl0_63
  <=> c0_1(a101) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f447,plain,
    ( ~ spl0_49
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f136,f445,f375]) ).

fof(f450,definition,
    ( spl0_64
  <=> c1_1(a102) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f452,plain,
    ( ~ spl0_24
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f135,f450,f277]) ).

fof(f454,definition,
    ( spl0_65
  <=> c0_1(a102) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f456,plain,
    ( ~ spl0_24
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f134,f454,f277]) ).

fof(f464,definition,
    ( spl0_67
  <=> c1_1(a104) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f466,plain,
    ( ~ spl0_61
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f132,f464,f436]) ).

fof(f469,definition,
    ( spl0_68
  <=> c1_1(a105) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f471,plain,
    ( ~ spl0_52
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f131,f469,f387]) ).

fof(f474,definition,
    ( spl0_69
  <=> c2_1(a106) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f475,plain,
    ( ~ c2_1(a106)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f476,plain,
    ( ~ spl0_62
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f130,f474,f440]) ).

fof(f498,definition,
    ( spl0_74
  <=> c3_1(a110) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f499,plain,
    ( ~ c3_1(a110)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f500,plain,
    ( ~ spl0_60
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f125,f498,f431]) ).

fof(f502,definition,
    ( spl0_75
  <=> c1_1(a110) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f504,plain,
    ( ~ spl0_60
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f124,f502,f431]) ).

fof(f507,definition,
    ( spl0_76
  <=> c3_1(a111) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f508,plain,
    ( ~ c3_1(a111)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f509,plain,
    ( ~ spl0_34
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f123,f507,f315]) ).

fof(f511,definition,
    ( spl0_77
  <=> c2_1(a111) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f512,plain,
    ( ~ c2_1(a111)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f513,plain,
    ( ~ spl0_34
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f122,f511,f315]) ).

fof(f515,definition,
    ( spl0_78
  <=> c0_1(a111) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f517,plain,
    ( ~ spl0_34
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f121,f515,f315]) ).

fof(f520,definition,
    ( spl0_79
  <=> c3_1(a112) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f521,plain,
    ( ~ c3_1(a112)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f522,plain,
    ( ~ spl0_46
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f120,f520,f363]) ).

fof(f524,definition,
    ( spl0_80
  <=> c2_1(a112) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f525,plain,
    ( ~ c2_1(a112)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f526,plain,
    ( ~ spl0_46
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f119,f524,f363]) ).

fof(f529,definition,
    ( spl0_81
  <=> c2_1(a113) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f530,plain,
    ( ~ c2_1(a113)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f531,plain,
    ( ~ spl0_27
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f118,f529,f288]) ).

fof(f533,definition,
    ( spl0_82
  <=> c0_1(a113) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f535,plain,
    ( ~ spl0_27
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f117,f533,f288]) ).

fof(f538,definition,
    ( spl0_83
  <=> c3_1(a114) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f539,plain,
    ( ~ c3_1(a114)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f540,plain,
    ( ~ spl0_39
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f116,f538,f336]) ).

fof(f548,definition,
    ( spl0_85
  <=> c1_1(a117) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f550,plain,
    ( ~ spl0_57
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f114,f548,f410]) ).

fof(f553,definition,
    ( spl0_86
  <=> c2_1(a126) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f554,plain,
    ( ~ c2_1(a126)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f555,plain,
    ( ~ spl0_43
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f113,f553,f351]) ).

fof(f572,definition,
    ( spl0_90
  <=> c3_1(a135) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f573,plain,
    ( ~ c3_1(a135)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f574,plain,
    ( ~ spl0_51
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f109,f572,f383]) ).

fof(f576,definition,
    ( spl0_91
  <=> c2_1(a135) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f577,plain,
    ( ~ c2_1(a135)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f578,plain,
    ( ~ spl0_51
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f108,f576,f383]) ).

fof(f581,definition,
    ( spl0_92
  <=> c3_1(a139) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f582,plain,
    ( ~ c3_1(a139)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f583,plain,
    ( ~ spl0_32
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f107,f581,f307]) ).

fof(f585,definition,
    ( spl0_93
  <=> c1_1(a139) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f587,plain,
    ( ~ spl0_32
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f106,f585,f307]) ).

fof(f590,definition,
    ( spl0_94
  <=> c2_1(a143) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f591,plain,
    ( ~ c2_1(a143)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f592,plain,
    ( ~ spl0_58
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f105,f590,f415]) ).

fof(f594,definition,
    ( spl0_95
  <=> c1_1(a143) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f596,plain,
    ( ~ spl0_58
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f104,f594,f415]) ).

fof(f625,definition,
    ( spl0_102
  <=> c3_1(a163) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f626,plain,
    ( ~ c3_1(a163)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f627,plain,
    ( ~ spl0_53
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f97,f625,f393]) ).

fof(f629,definition,
    ( spl0_103
  <=> c2_1(a163) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f630,plain,
    ( ~ c2_1(a163)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f629]) ).

fof(f631,plain,
    ( ~ spl0_53
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f96,f629,f393]) ).

fof(f633,definition,
    ( spl0_104
  <=> c1_1(a163) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f635,plain,
    ( ~ spl0_53
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f95,f633,f393]) ).

fof(f638,definition,
    ( spl0_105
  <=> c2_1(a167) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f639,plain,
    ( ~ c2_1(a167)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f640,plain,
    ( ~ spl0_50
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f94,f638,f379]) ).

fof(f668,definition,
    ( spl0_113
  <=> c3_1(a101) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f670,plain,
    ( spl0_113
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f88,f375,f668]) ).

fof(f672,definition,
    ( spl0_114
  <=> c2_1(a101) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f673,plain,
    ( c2_1(a101)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f674,plain,
    ( spl0_114
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f87,f375,f672]) ).

fof(f676,definition,
    ( spl0_115
  <=> c2_1(a102) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f677,plain,
    ( c2_1(a102)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f678,plain,
    ( spl0_115
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f86,f277,f676]) ).

fof(f688,definition,
    ( spl0_118
  <=> c2_1(a104) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f689,plain,
    ( c2_1(a104)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f690,plain,
    ( spl0_118
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f83,f436,f688]) ).

fof(f692,definition,
    ( spl0_119
  <=> c0_1(a104) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f694,plain,
    ( spl0_119
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f82,f436,f692]) ).

fof(f696,definition,
    ( spl0_120
  <=> c3_1(a105) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f697,plain,
    ( c3_1(a105)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f698,plain,
    ( spl0_120
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f81,f387,f696]) ).

fof(f700,definition,
    ( spl0_121
  <=> c2_1(a105) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f701,plain,
    ( c2_1(a105)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f702,plain,
    ( spl0_121
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f80,f387,f700]) ).

fof(f704,definition,
    ( spl0_122
  <=> c1_1(a106) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f706,plain,
    ( spl0_122
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f79,f440,f704]) ).

fof(f708,definition,
    ( spl0_123
  <=> c0_1(a106) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f710,plain,
    ( spl0_123
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f78,f440,f708]) ).

fof(f720,definition,
    ( spl0_126
  <=> c3_1(a108) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f721,plain,
    ( c3_1(a108)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f722,plain,
    ( spl0_126
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f75,f311,f720]) ).

fof(f724,definition,
    ( spl0_127
  <=> c1_1(a108) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f725,plain,
    ( c1_1(a108)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f726,plain,
    ( spl0_127
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f74,f311,f724]) ).

fof(f732,definition,
    ( spl0_129
  <=> c2_1(a110) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f733,plain,
    ( c2_1(a110)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f734,plain,
    ( spl0_129
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f72,f431,f732]) ).

fof(f736,definition,
    ( spl0_130
  <=> c1_1(a112) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f738,plain,
    ( spl0_130
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f71,f363,f736]) ).

fof(f740,definition,
    ( spl0_131
  <=> c3_1(a113) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f742,plain,
    ( spl0_131
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f70,f288,f740]) ).

fof(f744,definition,
    ( spl0_132
  <=> c2_1(a114) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f745,plain,
    ( c2_1(a114)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f744]) ).

fof(f746,plain,
    ( spl0_132
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f69,f336,f744]) ).

fof(f748,definition,
    ( spl0_133
  <=> c1_1(a114) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f750,plain,
    ( spl0_133
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f68,f336,f748]) ).

fof(f760,definition,
    ( spl0_136
  <=> c3_1(a117) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f761,plain,
    ( c3_1(a117)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f762,plain,
    ( spl0_136
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f65,f410,f760]) ).

fof(f764,definition,
    ( spl0_137
  <=> c0_1(a117) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f766,plain,
    ( spl0_137
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f64,f410,f764]) ).

fof(f768,definition,
    ( spl0_138
  <=> c3_1(a126) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f769,plain,
    ( c3_1(a126)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f770,plain,
    ( spl0_138
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f63,f351,f768]) ).

fof(f772,definition,
    ( spl0_139
  <=> c1_1(a126) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f774,plain,
    ( spl0_139
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f62,f351,f772]) ).

fof(f788,definition,
    ( spl0_143
  <=> c0_1(a135) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f790,plain,
    ( spl0_143
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f58,f383,f788]) ).

fof(f792,definition,
    ( spl0_144
  <=> c0_1(a139) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f794,plain,
    ( spl0_144
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f57,f307,f792]) ).

fof(f796,definition,
    ( spl0_145
  <=> c3_1(a143) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f797,plain,
    ( c3_1(a143)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f798,plain,
    ( spl0_145
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f56,f415,f796]) ).

fof(f800,definition,
    ( spl0_146
  <=> c1_1(a167) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f802,plain,
    ( spl0_146
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f55,f379,f800]) ).

fof(f812,definition,
    ( spl0_149
  <=> c3_1(a118) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f815,plain,
    ( spl0_149
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f52,f406,f812]) ).

fof(f817,definition,
    ( spl0_150
  <=> c2_1(a118) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f818,plain,
    ( c2_1(a118)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f819,plain,
    ( spl0_150
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f51,f406,f817]) ).

fof(f821,definition,
    ( spl0_151
  <=> c1_1(a118) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f823,plain,
    ( spl0_151
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f50,f406,f821]) ).

fof(f825,definition,
    ( spl0_152
  <=> c2_1(a128) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f826,plain,
    ( c2_1(a128)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f825]) ).

fof(f828,plain,
    ( spl0_152
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f49,f397,f825]) ).

fof(f830,definition,
    ( spl0_153
  <=> c1_1(a128) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f832,plain,
    ( spl0_153
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f48,f397,f830]) ).

fof(f834,definition,
    ( spl0_154
  <=> c0_1(a128) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f836,plain,
    ( spl0_154
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f47,f397,f834]) ).

fof(f838,definition,
    ( spl0_155
  <=> c3_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f839,plain,
    ( c3_1(a131)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f841,plain,
    ( spl0_155
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f46,f344,f838]) ).

fof(f843,definition,
    ( spl0_156
  <=> c2_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f844,plain,
    ( c2_1(a131)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f845,plain,
    ( spl0_156
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f45,f344,f843]) ).

fof(f847,definition,
    ( spl0_157
  <=> c0_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f849,plain,
    ( spl0_157
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f44,f344,f847]) ).

fof(f851,definition,
    ( spl0_158
  <=> c3_1(a141) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f852,plain,
    ( c3_1(a141)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f854,plain,
    ( spl0_158
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f43,f281,f851]) ).

fof(f856,definition,
    ( spl0_159
  <=> c1_1(a141) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f858,plain,
    ( spl0_159
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f42,f281,f856]) ).

fof(f860,definition,
    ( spl0_160
  <=> c0_1(a141) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f862,plain,
    ( spl0_160
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f41,f281,f860]) ).

fof(f868,plain,
    ( spl0_60
    | spl0_52
    | spl0_62 ),
    inference(avatar_split_clause,[],[f37,f440,f387,f431]) ).

fof(f869,plain,
    ( spl0_50
    | spl0_43
    | spl0_62 ),
    inference(avatar_split_clause,[],[f36,f440,f351,f379]) ).

fof(f870,plain,
    ( spl0_39
    | spl0_57
    | spl0_62 ),
    inference(avatar_split_clause,[],[f35,f440,f410,f336]) ).

fof(f871,plain,
    ( spl0_53
    | spl0_41
    | spl0_25 ),
    inference(avatar_split_clause,[],[f34,f281,f344,f393]) ).

fof(f897,plain,
    ( spl0_3
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f9,f393,f204]) ).

fof(f903,plain,
    ( spl0_3
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f3,f344,f204]) ).

fof(f904,plain,
    ( spl0_3
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f2,f281,f204]) ).

fof(f907,plain,
    ( ~ c3_1(a105)
    | ~ c0_1(a105)
    | ~ spl0_2
    | ~ spl0_121 ),
    inference(resolution,[],[f202,f701]) ).

fof(f909,definition,
    ( spl0_161
  <=> c0_1(a105) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f912,plain,
    ( ~ spl0_161
    | ~ spl0_120
    | ~ spl0_2
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f907,f700,f201,f696,f909]) ).

fof(f922,plain,
    ( ~ c0_1(a106)
    | ~ c1_1(a106)
    | ~ spl0_6
    | spl0_69 ),
    inference(resolution,[],[f215,f475]) ).

fof(f925,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(resolution,[],[f215,f208]) ).

fof(f926,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(resolution,[],[f215,f202]) ).

fof(f927,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(duplicate_literal_removal,[],[f926]) ).

fof(f928,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(duplicate_literal_removal,[],[f925]) ).

fof(f930,plain,
    ( spl0_11
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f927,f214,f201,f231]) ).

fof(f931,plain,
    ( spl0_11
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f928,f214,f207,f231]) ).

fof(f934,plain,
    ( ~ spl0_122
    | ~ spl0_123
    | ~ spl0_6
    | spl0_69 ),
    inference(avatar_split_clause,[],[f922,f474,f214,f708,f704]) ).

fof(f938,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(resolution,[],[f218,f208]) ).

fof(f939,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(resolution,[],[f218,f202]) ).

fof(f940,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(duplicate_literal_removal,[],[f939]) ).

fof(f941,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(duplicate_literal_removal,[],[f938]) ).

fof(f943,plain,
    ( spl0_11
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f941,f217,f207,f231]) ).

fof(f946,definition,
    ( spl0_163
  <=> c3_1(a106) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f953,definition,
    ( spl0_164
  <=> c0_1(a163) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f960,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(resolution,[],[f225,f208]) ).

fof(f963,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(duplicate_literal_removal,[],[f960]) ).

fof(f990,definition,
    ( spl0_165
  <=> c1_1(a111) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1006,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_5
    | ~ spl0_16 ),
    inference(resolution,[],[f250,f212]) ).

fof(f1008,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_16 ),
    inference(resolution,[],[f250,f202]) ).

fof(f1012,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f1008]) ).

fof(f1014,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_5
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f1006]) ).

fof(f1019,plain,
    ( c0_1(a163)
    | c1_1(a163)
    | ~ spl0_21
    | spl0_102 ),
    inference(resolution,[],[f268,f626]) ).

fof(f1034,plain,
    ( ~ c1_1(a108)
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_126 ),
    inference(resolution,[],[f721,f963]) ).

fof(f1043,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(resolution,[],[f1034,f725]) ).

fof(f1045,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f1043]) ).

fof(f1046,plain,
    ( spl0_104
    | spl0_164
    | ~ spl0_21
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1019,f625,f267,f953,f633]) ).

fof(f1052,plain,
    ( ~ c1_1(a167)
    | ~ c3_1(a167)
    | ~ spl0_9
    | spl0_105 ),
    inference(resolution,[],[f639,f225]) ).

fof(f1056,definition,
    ( spl0_167
  <=> c3_1(a167) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1077,plain,
    ( ~ c0_1(a141)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_158 ),
    inference(resolution,[],[f852,f940]) ).

fof(f1086,plain,
    ( c0_1(a163)
    | c1_1(a163)
    | ~ spl0_19
    | spl0_103 ),
    inference(resolution,[],[f261,f630]) ).

fof(f1087,plain,
    ( c0_1(a111)
    | c1_1(a111)
    | ~ spl0_19
    | spl0_77 ),
    inference(resolution,[],[f261,f512]) ).

fof(f1089,plain,
    ( spl0_165
    | spl0_78
    | ~ spl0_19
    | spl0_77 ),
    inference(avatar_split_clause,[],[f1087,f511,f260,f515,f990]) ).

fof(f1090,plain,
    ( spl0_104
    | spl0_164
    | ~ spl0_19
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1086,f629,f260,f953,f633]) ).

fof(f1096,plain,
    ( c0_1(a111)
    | c1_1(a111)
    | ~ spl0_21
    | spl0_76 ),
    inference(resolution,[],[f268,f508]) ).

fof(f1097,plain,
    ( spl0_165
    | spl0_78
    | ~ spl0_21
    | spl0_76 ),
    inference(avatar_split_clause,[],[f1096,f507,f267,f515,f990]) ).

fof(f1104,plain,
    ( c3_1(a102)
    | c0_1(a102)
    | ~ spl0_22
    | ~ spl0_115 ),
    inference(resolution,[],[f271,f677]) ).

fof(f1110,definition,
    ( spl0_169
  <=> c3_1(a102) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1111,plain,
    ( c3_1(a102)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1110]) ).

fof(f1112,plain,
    ( spl0_65
    | spl0_169
    | ~ spl0_22
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1104,f676,f270,f1110,f454]) ).

fof(f1115,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_19
    | ~ spl0_35 ),
    inference(resolution,[],[f319,f261]) ).

fof(f1120,plain,
    ( c0_1(a105)
    | ~ c3_1(a105)
    | ~ spl0_35
    | ~ spl0_121 ),
    inference(resolution,[],[f319,f701]) ).

fof(f1122,plain,
    ( c0_1(a101)
    | ~ c3_1(a101)
    | ~ spl0_35
    | ~ spl0_114 ),
    inference(resolution,[],[f319,f673]) ).

fof(f1127,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_19
    | ~ spl0_35 ),
    inference(duplicate_literal_removal,[],[f1115]) ).

fof(f1130,plain,
    ( ~ c3_1(a102)
    | spl0_169 ),
    inference(avatar_component_clause,[],[f1110]) ).

fof(f1133,plain,
    ( ~ spl0_120
    | spl0_161
    | ~ spl0_35
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1120,f700,f318,f909,f696]) ).

fof(f1135,plain,
    ( spl0_1
    | ~ spl0_19
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f1127,f318,f260,f198]) ).

fof(f1139,plain,
    ( ~ c1_1(a126)
    | ~ c3_1(a126)
    | ~ spl0_9
    | spl0_86 ),
    inference(resolution,[],[f554,f225]) ).

fof(f1142,definition,
    ( spl0_170
  <=> c0_1(a126) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1158,definition,
    ( spl0_171
  <=> c3_1(a128) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1185,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_22
    | ~ spl0_47 ),
    inference(resolution,[],[f367,f271]) ).

fof(f1189,plain,
    ( c3_1(a167)
    | ~ c1_1(a167)
    | ~ spl0_47
    | spl0_105 ),
    inference(resolution,[],[f367,f639]) ).

fof(f1193,plain,
    ( c3_1(a111)
    | ~ c1_1(a111)
    | ~ spl0_47
    | spl0_77 ),
    inference(resolution,[],[f367,f512]) ).

fof(f1196,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_22
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f1185]) ).

fof(f1201,plain,
    ( ~ spl0_165
    | spl0_76
    | ~ spl0_47
    | spl0_77 ),
    inference(avatar_split_clause,[],[f1193,f511,f366,f507,f990]) ).

fof(f1210,plain,
    ( spl0_14
    | ~ spl0_22
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f1196,f366,f270,f242]) ).

fof(f1214,definition,
    ( spl0_172
  <=> c1_1(a135) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1243,definition,
    ( spl0_173
  <=> c0_1(a112) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1256,plain,
    ( spl0_17
    | ~ spl0_2
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f1012,f249,f201,f252]) ).

fof(f1257,plain,
    ( spl0_17
    | ~ spl0_5
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f1014,f249,f211,f252]) ).

fof(f1267,plain,
    ( c0_1(a143)
    | c1_1(a143)
    | ~ spl0_19
    | spl0_94 ),
    inference(resolution,[],[f591,f261]) ).

fof(f1268,plain,
    ( ~ c3_1(a143)
    | c1_1(a143)
    | ~ spl0_16
    | spl0_94 ),
    inference(resolution,[],[f591,f250]) ).

fof(f1272,definition,
    ( spl0_174
  <=> c0_1(a143) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1278,plain,
    ( spl0_95
    | spl0_174
    | ~ spl0_19
    | spl0_94 ),
    inference(avatar_split_clause,[],[f1267,f590,f260,f1272,f594]) ).

fof(f1283,plain,
    ( c1_1(a105)
    | ~ c0_1(a105)
    | ~ spl0_5
    | ~ spl0_121 ),
    inference(resolution,[],[f212,f701]) ).

fof(f1293,plain,
    ( c1_1(a105)
    | ~ c0_1(a105)
    | ~ spl0_17
    | ~ spl0_120 ),
    inference(resolution,[],[f253,f697]) ).

fof(f1304,plain,
    ( ~ c3_1(a118)
    | ~ c1_1(a118)
    | ~ spl0_4
    | ~ spl0_150 ),
    inference(resolution,[],[f818,f208]) ).

fof(f1318,plain,
    ( ~ c1_1(a112)
    | c0_1(a112)
    | ~ spl0_14
    | spl0_79 ),
    inference(resolution,[],[f243,f521]) ).

fof(f1322,plain,
    ( ~ c1_1(a111)
    | c0_1(a111)
    | ~ spl0_14
    | spl0_76 ),
    inference(resolution,[],[f243,f508]) ).

fof(f1324,plain,
    ( spl0_78
    | ~ spl0_165
    | ~ spl0_14
    | spl0_76 ),
    inference(avatar_split_clause,[],[f1322,f507,f242,f990,f515]) ).

fof(f1328,plain,
    ( spl0_173
    | ~ spl0_130
    | ~ spl0_14
    | spl0_79 ),
    inference(avatar_split_clause,[],[f1318,f520,f242,f736,f1243]) ).

fof(f1343,plain,
    ( ~ c0_1(a163)
    | c1_1(a163)
    | ~ spl0_18
    | spl0_103 ),
    inference(resolution,[],[f257,f630]) ).

fof(f1364,plain,
    ( ~ c0_1(a135)
    | ~ c1_1(a135)
    | ~ spl0_6
    | spl0_91 ),
    inference(resolution,[],[f215,f577]) ).

fof(f1366,plain,
    ( ~ c0_1(a112)
    | ~ c1_1(a112)
    | ~ spl0_6
    | spl0_80 ),
    inference(resolution,[],[f215,f525]) ).

fof(f1373,plain,
    ( ~ spl0_130
    | ~ spl0_173
    | ~ spl0_6
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1366,f524,f214,f1243,f736]) ).

fof(f1377,plain,
    ( ~ spl0_172
    | ~ spl0_143
    | ~ spl0_6
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1364,f576,f214,f788,f1214]) ).

fof(f1384,plain,
    ( spl0_95
    | ~ spl0_145
    | ~ spl0_16
    | spl0_94 ),
    inference(avatar_split_clause,[],[f1268,f590,f249,f796,f594]) ).

fof(f1387,plain,
    ( ~ spl0_113
    | spl0_63
    | ~ spl0_35
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1122,f672,f318,f445,f668]) ).

fof(f1399,plain,
    ( ~ spl0_167
    | ~ spl0_146
    | ~ spl0_9
    | spl0_105 ),
    inference(avatar_split_clause,[],[f1052,f638,f224,f800,f1056]) ).

fof(f1414,plain,
    ( c0_1(a110)
    | c1_1(a110)
    | ~ spl0_21
    | spl0_74 ),
    inference(resolution,[],[f499,f268]) ).

fof(f1417,definition,
    ( spl0_176
  <=> c0_1(a110) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1419,plain,
    ( spl0_75
    | spl0_176
    | ~ spl0_21
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1414,f498,f267,f1417,f502]) ).

fof(f1443,plain,
    ( c3_1(a110)
    | c1_1(a110)
    | ~ spl0_42
    | ~ spl0_129 ),
    inference(resolution,[],[f733,f348]) ).

fof(f1445,plain,
    ( spl0_75
    | spl0_74
    | ~ spl0_42
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1443,f732,f347,f498,f502]) ).

fof(f1471,plain,
    ( c1_1(a105)
    | c0_1(a105)
    | ~ spl0_1
    | ~ spl0_120 ),
    inference(resolution,[],[f199,f697]) ).

fof(f1472,plain,
    ( c1_1(a102)
    | c0_1(a102)
    | ~ spl0_1
    | ~ spl0_169 ),
    inference(resolution,[],[f199,f1111]) ).

fof(f1479,plain,
    ( ~ c3_1(a131)
    | ~ c0_1(a131)
    | ~ spl0_2
    | ~ spl0_156 ),
    inference(resolution,[],[f202,f844]) ).

fof(f1490,plain,
    ( ~ spl0_157
    | ~ spl0_155
    | ~ spl0_2
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1479,f843,f201,f838,f847]) ).

fof(f1506,plain,
    ( ~ spl0_161
    | spl0_68
    | ~ spl0_5
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1283,f700,f211,f469,f909]) ).

fof(f1509,definition,
    ( spl0_178
  <=> c1_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1534,plain,
    ( ~ c0_1(a135)
    | c1_1(a135)
    | ~ spl0_8
    | spl0_90 ),
    inference(resolution,[],[f222,f573]) ).

fof(f1541,plain,
    ( ~ c0_1(a163)
    | c1_1(a163)
    | ~ spl0_8
    | spl0_102 ),
    inference(resolution,[],[f222,f626]) ).

fof(f1546,plain,
    ( spl0_172
    | ~ spl0_143
    | ~ spl0_8
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1534,f572,f221,f788,f1214]) ).

fof(f1550,plain,
    ( ~ spl0_161
    | spl0_68
    | ~ spl0_17
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1293,f696,f252,f469,f909]) ).

fof(f1551,plain,
    ( ~ c0_1(a106)
    | ~ c3_1(a106)
    | ~ spl0_7
    | spl0_69 ),
    inference(resolution,[],[f475,f218]) ).

fof(f1557,plain,
    ( ~ c1_1(a114)
    | c0_1(a114)
    | ~ spl0_14
    | spl0_83 ),
    inference(resolution,[],[f539,f243]) ).

fof(f1560,definition,
    ( spl0_179
  <=> c0_1(a114) ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

fof(f1598,plain,
    ( c0_1(a102)
    | c1_1(a102)
    | ~ spl0_21
    | spl0_169 ),
    inference(resolution,[],[f1130,f268]) ).

fof(f1599,plain,
    ( spl0_64
    | spl0_65
    | ~ spl0_21
    | spl0_169 ),
    inference(avatar_split_clause,[],[f1598,f1110,f267,f454,f450]) ).

fof(f1602,plain,
    ( ~ spl0_151
    | ~ spl0_149
    | ~ spl0_4
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1304,f817,f207,f812,f821]) ).

fof(f1626,plain,
    ( ~ c0_1(a141)
    | ~ c1_1(a141)
    | ~ spl0_11
    | ~ spl0_158 ),
    inference(resolution,[],[f232,f852]) ).

fof(f1627,plain,
    ( ~ c0_1(a131)
    | ~ c1_1(a131)
    | ~ spl0_11
    | ~ spl0_155 ),
    inference(resolution,[],[f232,f839]) ).

fof(f1631,plain,
    ( ~ c0_1(a126)
    | ~ c1_1(a126)
    | ~ spl0_11
    | ~ spl0_138 ),
    inference(resolution,[],[f232,f769]) ).

fof(f1641,plain,
    ( ~ spl0_178
    | ~ spl0_157
    | ~ spl0_11
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1627,f838,f231,f847,f1509]) ).

fof(f1648,plain,
    ( c3_1(a135)
    | c1_1(a135)
    | ~ spl0_12
    | spl0_91 ),
    inference(resolution,[],[f236,f577]) ).

fof(f1654,plain,
    ( spl0_172
    | spl0_90
    | ~ spl0_12
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1648,f576,f235,f572,f1214]) ).

fof(f1659,plain,
    ( c1_1(a131)
    | ~ c0_1(a131)
    | ~ spl0_17
    | ~ spl0_155 ),
    inference(resolution,[],[f253,f839]) ).

fof(f1661,plain,
    ( c1_1(a143)
    | ~ c0_1(a143)
    | ~ spl0_17
    | ~ spl0_145 ),
    inference(resolution,[],[f253,f797]) ).

fof(f1664,plain,
    ( c1_1(a117)
    | ~ c0_1(a117)
    | ~ spl0_17
    | ~ spl0_136 ),
    inference(resolution,[],[f253,f761]) ).

fof(f1674,plain,
    ( ~ spl0_137
    | spl0_85
    | ~ spl0_17
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1664,f760,f252,f548,f764]) ).

fof(f1675,plain,
    ( ~ spl0_174
    | spl0_95
    | ~ spl0_17
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1661,f796,f252,f594,f1272]) ).

fof(f1676,plain,
    ( ~ spl0_157
    | spl0_178
    | ~ spl0_17
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1659,f838,f252,f1509,f847]) ).

fof(f1698,plain,
    ( c1_1(a104)
    | ~ c0_1(a104)
    | ~ spl0_5
    | ~ spl0_118 ),
    inference(resolution,[],[f212,f689]) ).

fof(f1704,plain,
    ( ~ spl0_119
    | spl0_67
    | ~ spl0_5
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1698,f688,f211,f464,f692]) ).

fof(f1727,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(resolution,[],[f239,f212]) ).

fof(f1731,plain,
    ( c3_1(a135)
    | ~ c0_1(a135)
    | ~ spl0_13
    | spl0_91 ),
    inference(resolution,[],[f239,f577]) ).

fof(f1734,plain,
    ( c3_1(a112)
    | ~ c0_1(a112)
    | ~ spl0_13
    | spl0_80 ),
    inference(resolution,[],[f239,f525]) ).

fof(f1735,plain,
    ( c3_1(a106)
    | ~ c0_1(a106)
    | ~ spl0_13
    | spl0_69 ),
    inference(resolution,[],[f239,f475]) ).

fof(f1737,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f1727]) ).

fof(f1746,plain,
    ( c3_1(a128)
    | ~ c1_1(a128)
    | ~ spl0_15
    | ~ spl0_152 ),
    inference(resolution,[],[f246,f826]) ).

fof(f1748,plain,
    ( c3_1(a114)
    | ~ c1_1(a114)
    | ~ spl0_15
    | ~ spl0_132 ),
    inference(resolution,[],[f246,f745]) ).

fof(f1757,plain,
    ( ~ spl0_133
    | spl0_83
    | ~ spl0_15
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1748,f744,f245,f538,f748]) ).

fof(f1776,plain,
    ( ~ c0_1(a135)
    | c1_1(a135)
    | ~ spl0_18
    | spl0_91 ),
    inference(resolution,[],[f257,f577]) ).

fof(f1783,plain,
    ( spl0_172
    | ~ spl0_143
    | ~ spl0_18
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1776,f576,f256,f788,f1214]) ).

fof(f1786,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_10
    | ~ spl0_20 ),
    inference(resolution,[],[f264,f229]) ).

fof(f1792,plain,
    ( c1_1(a102)
    | c0_1(a102)
    | ~ spl0_20
    | ~ spl0_115 ),
    inference(resolution,[],[f264,f677]) ).

fof(f1795,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_10
    | ~ spl0_20 ),
    inference(duplicate_literal_removal,[],[f1786]) ).

fof(f1798,plain,
    ( spl0_65
    | spl0_64
    | ~ spl0_20
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1792,f676,f263,f450,f454]) ).

fof(f1803,plain,
    ( spl0_1
    | ~ spl0_10
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f1795,f263,f228,f198]) ).

fof(f1806,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_12
    | ~ spl0_23 ),
    inference(resolution,[],[f274,f236]) ).

fof(f1813,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_12
    | ~ spl0_23 ),
    inference(duplicate_literal_removal,[],[f1806]) ).

fof(f1822,plain,
    ( ~ c0_1(a128)
    | ~ c1_1(a128)
    | ~ spl0_26
    | ~ spl0_152 ),
    inference(resolution,[],[f285,f826]) ).

fof(f1824,plain,
    ( ~ c0_1(a114)
    | ~ c1_1(a114)
    | ~ spl0_26
    | ~ spl0_132 ),
    inference(resolution,[],[f285,f745]) ).

fof(f1829,plain,
    ( ~ spl0_133
    | ~ spl0_179
    | ~ spl0_26
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1824,f744,f284,f1560,f748]) ).

fof(f1872,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_15
    | ~ spl0_40 ),
    inference(resolution,[],[f340,f246]) ).

fof(f1883,plain,
    ( c3_1(a111)
    | c0_1(a111)
    | ~ spl0_40
    | spl0_77 ),
    inference(resolution,[],[f340,f512]) ).

fof(f1884,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_15
    | ~ spl0_40 ),
    inference(duplicate_literal_removal,[],[f1872]) ).

fof(f1886,plain,
    ( spl0_78
    | spl0_76
    | ~ spl0_40
    | spl0_77 ),
    inference(avatar_split_clause,[],[f1883,f511,f339,f507,f515]) ).

fof(f1889,plain,
    ( spl0_14
    | ~ spl0_15
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f1884,f339,f245,f242]) ).

fof(f1904,plain,
    ( spl0_161
    | spl0_68
    | ~ spl0_1
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1471,f696,f198,f469,f909]) ).

fof(f1905,plain,
    ( spl0_65
    | spl0_64
    | ~ spl0_1
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1472,f1110,f198,f450,f454]) ).

fof(f1911,plain,
    ( ~ spl0_138
    | ~ spl0_139
    | ~ spl0_9
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1139,f553,f224,f772,f768]) ).

fof(f1917,plain,
    ( ~ spl0_153
    | ~ spl0_154
    | ~ spl0_26
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1822,f825,f284,f834,f830]) ).

fof(f1925,plain,
    ( spl0_8
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f1737,f238,f211,f221]) ).

fof(f1928,plain,
    ( ~ spl0_143
    | spl0_90
    | ~ spl0_13
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1731,f576,f238,f572,f788]) ).

fof(f1930,plain,
    ( ~ spl0_173
    | spl0_79
    | ~ spl0_13
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1734,f524,f238,f520,f1243]) ).

fof(f1931,plain,
    ( ~ spl0_123
    | spl0_163
    | ~ spl0_13
    | spl0_69 ),
    inference(avatar_split_clause,[],[f1735,f474,f238,f946,f708]) ).

fof(f1935,plain,
    ( spl0_179
    | ~ spl0_133
    | ~ spl0_14
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1557,f538,f242,f748,f1560]) ).

fof(f1940,plain,
    ( ~ spl0_146
    | spl0_167
    | ~ spl0_47
    | spl0_105 ),
    inference(avatar_split_clause,[],[f1189,f638,f366,f1056,f800]) ).

fof(f1953,plain,
    ( ~ spl0_160
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1077,f851,f217,f201,f860]) ).

fof(f1987,plain,
    ( spl0_104
    | ~ spl0_164
    | ~ spl0_8
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1541,f625,f221,f953,f633]) ).

fof(f2006,plain,
    ( ~ spl0_159
    | ~ spl0_160
    | ~ spl0_11
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1626,f851,f231,f860,f856]) ).

fof(f2008,plain,
    ( ~ spl0_139
    | ~ spl0_170
    | ~ spl0_11
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1631,f768,f231,f1142,f772]) ).

fof(f2014,plain,
    ( ~ spl0_153
    | spl0_171
    | ~ spl0_15
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1746,f825,f245,f1158,f830]) ).

fof(f2017,plain,
    ( spl0_104
    | ~ spl0_164
    | ~ spl0_18
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1343,f629,f256,f953,f633]) ).

fof(f2026,plain,
    ( spl0_8
    | ~ spl0_12
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f1813,f273,f235,f221]) ).

fof(f2045,plain,
    ( ~ spl0_163
    | ~ spl0_123
    | ~ spl0_7
    | spl0_69 ),
    inference(avatar_split_clause,[],[f1551,f474,f217,f708,f946]) ).

fof(f2053,plain,
    ( ~ c3_1(a128)
    | ~ c1_1(a128)
    | ~ spl0_4
    | ~ spl0_152 ),
    inference(resolution,[],[f208,f826]) ).

fof(f2060,plain,
    ( ~ spl0_153
    | ~ spl0_171
    | ~ spl0_4
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2053,f825,f207,f1158,f830]) ).

fof(f2063,plain,
    ( c1_1(a110)
    | ~ c0_1(a110)
    | ~ spl0_5
    | ~ spl0_129 ),
    inference(resolution,[],[f212,f733]) ).

fof(f2067,plain,
    ( ~ spl0_176
    | spl0_75
    | ~ spl0_5
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2063,f732,f211,f502,f1417]) ).

fof(f2090,plain,
    ( ~ c0_1(a139)
    | c1_1(a139)
    | ~ spl0_8
    | spl0_92 ),
    inference(resolution,[],[f222,f582]) ).

fof(f2105,plain,
    ( spl0_93
    | ~ spl0_144
    | ~ spl0_8
    | spl0_92 ),
    inference(avatar_split_clause,[],[f2090,f581,f221,f792,f585]) ).

fof(f2113,plain,
    ( ~ c3_1(a126)
    | c0_1(a126)
    | ~ spl0_10
    | spl0_86 ),
    inference(resolution,[],[f229,f554]) ).

fof(f2114,plain,
    ( ~ c3_1(a113)
    | c0_1(a113)
    | ~ spl0_10
    | spl0_81 ),
    inference(resolution,[],[f229,f530]) ).

fof(f2126,plain,
    ( spl0_82
    | ~ spl0_131
    | ~ spl0_10
    | spl0_81 ),
    inference(avatar_split_clause,[],[f2114,f529,f228,f740,f533]) ).

fof(f2127,plain,
    ( spl0_170
    | ~ spl0_138
    | ~ spl0_10
    | spl0_86 ),
    inference(avatar_split_clause,[],[f2113,f553,f228,f768,f1142]) ).

fof(f2151,plain,
    ( c3_1(a163)
    | c1_1(a163)
    | ~ spl0_12
    | spl0_103 ),
    inference(resolution,[],[f236,f630]) ).

fof(f2158,plain,
    ( spl0_104
    | spl0_102
    | ~ spl0_12
    | spl0_103 ),
    inference(avatar_split_clause,[],[f2151,f629,f235,f625,f633]) ).

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

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

cnf(s3,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f226]) ).

cnf(s4,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f233]) ).

cnf(s5,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f240]) ).

cnf(s6,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(sat_conversion,[],[f247]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f254]) ).

cnf(s8,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_6
    | spl0_18 ),
    inference(sat_conversion,[],[f258]) ).

cnf(s9,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f265]) ).

cnf(s10,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f275]) ).

cnf(s12,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_25
    | spl0_26 ),
    inference(sat_conversion,[],[f286]) ).

cnf(s13,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_15
    | spl0_27 ),
    inference(sat_conversion,[],[f290]) ).

cnf(s17,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_17
    | spl0_32 ),
    inference(sat_conversion,[],[f309]) ).

cnf(s18,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_26
    | spl0_33 ),
    inference(sat_conversion,[],[f313]) ).

cnf(s21,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_20
    | spl0_34 ),
    inference(sat_conversion,[],[f325]) ).

cnf(s25,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_39
    | spl0_40 ),
    inference(sat_conversion,[],[f341]) ).

cnf(s27,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_41
    | spl0_42 ),
    inference(sat_conversion,[],[f349]) ).

cnf(s29,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_35
    | spl0_43 ),
    inference(sat_conversion,[],[f354]) ).

cnf(s33,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_24
    | spl0_35 ),
    inference(sat_conversion,[],[f373]) ).

cnf(s34,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_19
    | spl0_49 ),
    inference(sat_conversion,[],[f377]) ).

cnf(s36,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_46
    | spl0_51 ),
    inference(sat_conversion,[],[f385]) ).

cnf(s40,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_24
    | spl0_53 ),
    inference(sat_conversion,[],[f395]) ).

cnf(s41,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_52
    | spl0_54 ),
    inference(sat_conversion,[],[f399]) ).

cnf(s42,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_34
    | spl0_52 ),
    inference(sat_conversion,[],[f400]) ).

cnf(s46,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_25
    | spl0_56 ),
    inference(sat_conversion,[],[f413]) ).

cnf(s47,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_54
    | spl0_58 ),
    inference(sat_conversion,[],[f417]) ).

cnf(s48,plain,
    ( ~ spl0_3
    | spl0_35
    | spl0_46
    | spl0_54 ),
    inference(sat_conversion,[],[f418]) ).

cnf(s53,plain,
    ( ~ spl0_3
    | spl0_22
    | spl0_49
    | spl0_57 ),
    inference(sat_conversion,[],[f426]) ).

cnf(s54,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_34
    | spl0_57 ),
    inference(sat_conversion,[],[f427]) ).

cnf(s55,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_56
    | spl0_57 ),
    inference(sat_conversion,[],[f428]) ).

cnf(s56,plain,
    ( ~ spl0_3
    | spl0_47
    | spl0_51 ),
    inference(sat_conversion,[],[f429]) ).

cnf(s59,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_52
    | spl0_61 ),
    inference(sat_conversion,[],[f438]) ).

cnf(s60,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_62 ),
    inference(sat_conversion,[],[f442]) ).

cnf(s61,plain,
    ( ~ spl0_49
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f447]) ).

cnf(s62,plain,
    ( ~ spl0_24
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f452]) ).

cnf(s63,plain,
    ( ~ spl0_24
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f456]) ).

cnf(s65,plain,
    ( ~ spl0_61
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f466]) ).

cnf(s66,plain,
    ( ~ spl0_52
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f471]) ).

cnf(s67,plain,
    ( ~ spl0_62
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f476]) ).

cnf(s72,plain,
    ( ~ spl0_60
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f500]) ).

cnf(s73,plain,
    ( ~ spl0_60
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f504]) ).

cnf(s74,plain,
    ( ~ spl0_34
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f509]) ).

cnf(s75,plain,
    ( ~ spl0_34
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f513]) ).

cnf(s76,plain,
    ( ~ spl0_34
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f517]) ).

cnf(s77,plain,
    ( ~ spl0_46
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f522]) ).

cnf(s78,plain,
    ( ~ spl0_46
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f526]) ).

cnf(s79,plain,
    ( ~ spl0_27
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f531]) ).

cnf(s80,plain,
    ( ~ spl0_27
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f535]) ).

cnf(s81,plain,
    ( ~ spl0_39
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f540]) ).

cnf(s83,plain,
    ( ~ spl0_57
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f550]) ).

cnf(s84,plain,
    ( ~ spl0_43
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f555]) ).

cnf(s88,plain,
    ( ~ spl0_51
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f574]) ).

cnf(s89,plain,
    ( ~ spl0_51
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f578]) ).

cnf(s90,plain,
    ( ~ spl0_32
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f583]) ).

cnf(s91,plain,
    ( ~ spl0_32
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f587]) ).

cnf(s92,plain,
    ( ~ spl0_58
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f592]) ).

cnf(s93,plain,
    ( ~ spl0_58
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f596]) ).

cnf(s100,plain,
    ( ~ spl0_53
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f627]) ).

cnf(s101,plain,
    ( ~ spl0_53
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f631]) ).

cnf(s102,plain,
    ( ~ spl0_53
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f635]) ).

cnf(s103,plain,
    ( ~ spl0_50
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f640]) ).

cnf(s109,plain,
    ( ~ spl0_49
    | spl0_113 ),
    inference(sat_conversion,[],[f670]) ).

cnf(s110,plain,
    ( ~ spl0_49
    | spl0_114 ),
    inference(sat_conversion,[],[f674]) ).

cnf(s111,plain,
    ( ~ spl0_24
    | spl0_115 ),
    inference(sat_conversion,[],[f678]) ).

cnf(s114,plain,
    ( ~ spl0_61
    | spl0_118 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s115,plain,
    ( ~ spl0_61
    | spl0_119 ),
    inference(sat_conversion,[],[f694]) ).

cnf(s116,plain,
    ( ~ spl0_52
    | spl0_120 ),
    inference(sat_conversion,[],[f698]) ).

cnf(s117,plain,
    ( ~ spl0_52
    | spl0_121 ),
    inference(sat_conversion,[],[f702]) ).

cnf(s118,plain,
    ( ~ spl0_62
    | spl0_122 ),
    inference(sat_conversion,[],[f706]) ).

cnf(s119,plain,
    ( ~ spl0_62
    | spl0_123 ),
    inference(sat_conversion,[],[f710]) ).

cnf(s122,plain,
    ( ~ spl0_33
    | spl0_126 ),
    inference(sat_conversion,[],[f722]) ).

cnf(s123,plain,
    ( ~ spl0_33
    | spl0_127 ),
    inference(sat_conversion,[],[f726]) ).

cnf(s125,plain,
    ( ~ spl0_60
    | spl0_129 ),
    inference(sat_conversion,[],[f734]) ).

cnf(s126,plain,
    ( ~ spl0_46
    | spl0_130 ),
    inference(sat_conversion,[],[f738]) ).

cnf(s127,plain,
    ( ~ spl0_27
    | spl0_131 ),
    inference(sat_conversion,[],[f742]) ).

cnf(s128,plain,
    ( ~ spl0_39
    | spl0_132 ),
    inference(sat_conversion,[],[f746]) ).

cnf(s129,plain,
    ( ~ spl0_39
    | spl0_133 ),
    inference(sat_conversion,[],[f750]) ).

cnf(s132,plain,
    ( ~ spl0_57
    | spl0_136 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s133,plain,
    ( ~ spl0_57
    | spl0_137 ),
    inference(sat_conversion,[],[f766]) ).

cnf(s134,plain,
    ( ~ spl0_43
    | spl0_138 ),
    inference(sat_conversion,[],[f770]) ).

cnf(s135,plain,
    ( ~ spl0_43
    | spl0_139 ),
    inference(sat_conversion,[],[f774]) ).

cnf(s139,plain,
    ( ~ spl0_51
    | spl0_143 ),
    inference(sat_conversion,[],[f790]) ).

cnf(s140,plain,
    ( ~ spl0_32
    | spl0_144 ),
    inference(sat_conversion,[],[f794]) ).

cnf(s141,plain,
    ( ~ spl0_58
    | spl0_145 ),
    inference(sat_conversion,[],[f798]) ).

cnf(s142,plain,
    ( ~ spl0_50
    | spl0_146 ),
    inference(sat_conversion,[],[f802]) ).

cnf(s145,plain,
    ( ~ spl0_56
    | spl0_149 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s146,plain,
    ( ~ spl0_56
    | spl0_150 ),
    inference(sat_conversion,[],[f819]) ).

cnf(s147,plain,
    ( ~ spl0_56
    | spl0_151 ),
    inference(sat_conversion,[],[f823]) ).

cnf(s148,plain,
    ( ~ spl0_54
    | spl0_152 ),
    inference(sat_conversion,[],[f828]) ).

cnf(s149,plain,
    ( ~ spl0_54
    | spl0_153 ),
    inference(sat_conversion,[],[f832]) ).

cnf(s150,plain,
    ( ~ spl0_54
    | spl0_154 ),
    inference(sat_conversion,[],[f836]) ).

cnf(s151,plain,
    ( ~ spl0_41
    | spl0_155 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s152,plain,
    ( ~ spl0_41
    | spl0_156 ),
    inference(sat_conversion,[],[f845]) ).

cnf(s153,plain,
    ( ~ spl0_41
    | spl0_157 ),
    inference(sat_conversion,[],[f849]) ).

cnf(s154,plain,
    ( ~ spl0_25
    | spl0_158 ),
    inference(sat_conversion,[],[f854]) ).

cnf(s155,plain,
    ( ~ spl0_25
    | spl0_159 ),
    inference(sat_conversion,[],[f858]) ).

cnf(s156,plain,
    ( ~ spl0_25
    | spl0_160 ),
    inference(sat_conversion,[],[f862]) ).

cnf(s160,plain,
    ( spl0_52
    | spl0_60
    | spl0_62 ),
    inference(sat_conversion,[],[f868]) ).

cnf(s161,plain,
    ( spl0_43
    | spl0_50
    | spl0_62 ),
    inference(sat_conversion,[],[f869]) ).

cnf(s162,plain,
    ( spl0_39
    | spl0_57
    | spl0_62 ),
    inference(sat_conversion,[],[f870]) ).

cnf(s163,plain,
    ( spl0_25
    | spl0_41
    | spl0_53 ),
    inference(sat_conversion,[],[f871]) ).

cnf(s188,plain,
    ( spl0_3
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f897]) ).

cnf(s194,plain,
    ( spl0_3
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f903]) ).

cnf(s195,plain,
    ( spl0_3
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f904]) ).

cnf(s197,plain,
    ( ~ spl0_2
    | ~ spl0_120
    | ~ spl0_121
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f912]) ).

cnf(s199,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_11 ),
    inference(sat_conversion,[],[f930]) ).

cnf(s200,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | spl0_11 ),
    inference(sat_conversion,[],[f931]) ).

cnf(s201,plain,
    ( ~ spl0_6
    | spl0_69
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f934]) ).

cnf(s202,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | spl0_11 ),
    inference(sat_conversion,[],[f943]) ).

cnf(s212,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f1045]) ).

cnf(s213,plain,
    ( ~ spl0_21
    | spl0_102
    | spl0_104
    | spl0_164 ),
    inference(sat_conversion,[],[f1046]) ).

cnf(s220,plain,
    ( ~ spl0_19
    | spl0_77
    | spl0_78
    | spl0_165 ),
    inference(sat_conversion,[],[f1089]) ).

cnf(s221,plain,
    ( ~ spl0_19
    | spl0_103
    | spl0_104
    | spl0_164 ),
    inference(sat_conversion,[],[f1090]) ).

cnf(s222,plain,
    ( ~ spl0_21
    | spl0_76
    | spl0_78
    | spl0_165 ),
    inference(sat_conversion,[],[f1097]) ).

cnf(s223,plain,
    ( ~ spl0_22
    | spl0_65
    | ~ spl0_115
    | spl0_169 ),
    inference(sat_conversion,[],[f1112]) ).

cnf(s226,plain,
    ( ~ spl0_35
    | ~ spl0_120
    | ~ spl0_121
    | spl0_161 ),
    inference(sat_conversion,[],[f1133]) ).

cnf(s228,plain,
    ( spl0_1
    | ~ spl0_19
    | ~ spl0_35 ),
    inference(sat_conversion,[],[f1135]) ).

cnf(s236,plain,
    ( ~ spl0_47
    | spl0_76
    | spl0_77
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1201]) ).

cnf(s241,plain,
    ( spl0_14
    | ~ spl0_22
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f1210]) ).

cnf(s252,plain,
    ( ~ spl0_2
    | ~ spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f1256]) ).

cnf(s253,plain,
    ( ~ spl0_5
    | ~ spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f1257]) ).

cnf(s262,plain,
    ( ~ spl0_19
    | spl0_94
    | spl0_95
    | spl0_174 ),
    inference(sat_conversion,[],[f1278]) ).

cnf(s268,plain,
    ( ~ spl0_14
    | spl0_76
    | spl0_78
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1324]) ).

cnf(s271,plain,
    ( ~ spl0_14
    | spl0_79
    | ~ spl0_130
    | spl0_173 ),
    inference(sat_conversion,[],[f1328]) ).

cnf(s279,plain,
    ( ~ spl0_6
    | spl0_80
    | ~ spl0_130
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1373]) ).

cnf(s281,plain,
    ( ~ spl0_6
    | spl0_91
    | ~ spl0_143
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1377]) ).

cnf(s290,plain,
    ( ~ spl0_16
    | spl0_94
    | spl0_95
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1384]) ).

cnf(s295,plain,
    ( ~ spl0_35
    | spl0_63
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f1387]) ).

cnf(s307,plain,
    ( ~ spl0_9
    | spl0_105
    | ~ spl0_146
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1399]) ).

cnf(s326,plain,
    ( ~ spl0_21
    | spl0_74
    | spl0_75
    | spl0_176 ),
    inference(sat_conversion,[],[f1419]) ).

cnf(s334,plain,
    ( ~ spl0_42
    | spl0_74
    | spl0_75
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f1445]) ).

cnf(s347,plain,
    ( ~ spl0_2
    | ~ spl0_155
    | ~ spl0_156
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1490]) ).

cnf(s365,plain,
    ( ~ spl0_5
    | spl0_68
    | ~ spl0_121
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1506]) ).

cnf(s375,plain,
    ( ~ spl0_8
    | spl0_90
    | ~ spl0_143
    | spl0_172 ),
    inference(sat_conversion,[],[f1546]) ).

cnf(s378,plain,
    ( ~ spl0_17
    | spl0_68
    | ~ spl0_120
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1550]) ).

cnf(s389,plain,
    ( ~ spl0_21
    | spl0_64
    | spl0_65
    | spl0_169 ),
    inference(sat_conversion,[],[f1599]) ).

cnf(s393,plain,
    ( ~ spl0_4
    | ~ spl0_149
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1602]) ).

cnf(s407,plain,
    ( ~ spl0_11
    | ~ spl0_155
    | ~ spl0_157
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f1641]) ).

cnf(s409,plain,
    ( ~ spl0_12
    | spl0_90
    | spl0_91
    | spl0_172 ),
    inference(sat_conversion,[],[f1654]) ).

cnf(s410,plain,
    ( ~ spl0_17
    | spl0_85
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1674]) ).

cnf(s411,plain,
    ( ~ spl0_17
    | spl0_95
    | ~ spl0_145
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f1675]) ).

cnf(s412,plain,
    ( ~ spl0_17
    | ~ spl0_155
    | ~ spl0_157
    | spl0_178 ),
    inference(sat_conversion,[],[f1676]) ).

cnf(s418,plain,
    ( ~ spl0_5
    | spl0_67
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f1704]) ).

cnf(s432,plain,
    ( ~ spl0_15
    | spl0_83
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1757]) ).

cnf(s439,plain,
    ( ~ spl0_18
    | spl0_91
    | ~ spl0_143
    | spl0_172 ),
    inference(sat_conversion,[],[f1783]) ).

cnf(s442,plain,
    ( ~ spl0_20
    | spl0_64
    | spl0_65
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f1798]) ).

cnf(s447,plain,
    ( spl0_1
    | ~ spl0_10
    | ~ spl0_20 ),
    inference(sat_conversion,[],[f1803]) ).

cnf(s450,plain,
    ( ~ spl0_26
    | ~ spl0_132
    | ~ spl0_133
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f1829]) ).

cnf(s465,plain,
    ( ~ spl0_40
    | spl0_76
    | spl0_77
    | spl0_78 ),
    inference(sat_conversion,[],[f1886]) ).

cnf(s468,plain,
    ( spl0_14
    | ~ spl0_15
    | ~ spl0_40 ),
    inference(sat_conversion,[],[f1889]) ).

cnf(s483,plain,
    ( ~ spl0_1
    | spl0_68
    | ~ spl0_120
    | spl0_161 ),
    inference(sat_conversion,[],[f1904]) ).

cnf(s484,plain,
    ( ~ spl0_1
    | spl0_64
    | spl0_65
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1905]) ).

cnf(s490,plain,
    ( ~ spl0_9
    | spl0_86
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1911]) ).

cnf(s496,plain,
    ( ~ spl0_26
    | ~ spl0_152
    | ~ spl0_153
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1917]) ).

cnf(s504,plain,
    ( ~ spl0_5
    | spl0_8
    | ~ spl0_13 ),
    inference(sat_conversion,[],[f1925]) ).

cnf(s507,plain,
    ( ~ spl0_13
    | spl0_90
    | spl0_91
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1928]) ).

cnf(s509,plain,
    ( ~ spl0_13
    | spl0_79
    | spl0_80
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1930]) ).

cnf(s510,plain,
    ( ~ spl0_13
    | spl0_69
    | ~ spl0_123
    | spl0_163 ),
    inference(sat_conversion,[],[f1931]) ).

cnf(s514,plain,
    ( ~ spl0_14
    | spl0_83
    | ~ spl0_133
    | spl0_179 ),
    inference(sat_conversion,[],[f1935]) ).

cnf(s521,plain,
    ( ~ spl0_47
    | spl0_105
    | ~ spl0_146
    | spl0_167 ),
    inference(sat_conversion,[],[f1940]) ).

cnf(s535,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | ~ spl0_158
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1953]) ).

cnf(s569,plain,
    ( ~ spl0_8
    | spl0_102
    | spl0_104
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1987]) ).

cnf(s588,plain,
    ( ~ spl0_11
    | ~ spl0_158
    | ~ spl0_159
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2006]) ).

cnf(s590,plain,
    ( ~ spl0_11
    | ~ spl0_138
    | ~ spl0_139
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f2008]) ).

cnf(s596,plain,
    ( ~ spl0_15
    | ~ spl0_152
    | ~ spl0_153
    | spl0_171 ),
    inference(sat_conversion,[],[f2014]) ).

cnf(s599,plain,
    ( ~ spl0_18
    | spl0_103
    | spl0_104
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2017]) ).

cnf(s610,plain,
    ( spl0_8
    | ~ spl0_12
    | ~ spl0_23 ),
    inference(sat_conversion,[],[f2026]) ).

cnf(s631,plain,
    ( ~ spl0_7
    | spl0_69
    | ~ spl0_123
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2045]) ).

cnf(s635,plain,
    ( ~ spl0_4
    | ~ spl0_152
    | ~ spl0_153
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f2060]) ).

cnf(s636,plain,
    ( ~ spl0_5
    | spl0_75
    | ~ spl0_129
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2067]) ).

cnf(s645,plain,
    ( ~ spl0_8
    | spl0_92
    | spl0_93
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f2105]) ).

cnf(s647,plain,
    ( ~ spl0_10
    | spl0_81
    | spl0_82
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f2126]) ).

cnf(s648,plain,
    ( ~ spl0_10
    | spl0_86
    | ~ spl0_138
    | spl0_170 ),
    inference(sat_conversion,[],[f2127]) ).

cnf(s654,plain,
    ( ~ spl0_12
    | spl0_102
    | spl0_103
    | spl0_104 ),
    inference(sat_conversion,[],[f2158]) ).

cnf(s658,plain,
    spl0_3,
    inference(rat,[],[s163,s188,s194,s195]) ).

cnf(s659,plain,
    ( ~ spl0_43
    | ~ spl0_9 ),
    inference(rat,[],[s490,s84,s134,s135]) ).

cnf(s660,plain,
    ( ~ spl0_35
    | spl0_1 ),
    inference(rat,[],[s295,s61,s109,s110,s34,s228,s658]) ).

cnf(s662,plain,
    ( ~ spl0_33
    | ~ spl0_9
    | ~ spl0_4 ),
    inference(rat,[],[s212,s122,s123]) ).

cnf(s664,plain,
    ( ~ spl0_53
    | ~ spl0_12 ),
    inference(rat,[],[s654,s100,s101,s102]) ).

cnf(s665,plain,
    ( ~ spl0_56
    | ~ spl0_4 ),
    inference(rat,[],[s393,s145,s146,s147]) ).

cnf(s666,plain,
    ( ~ spl0_25
    | ~ spl0_11 ),
    inference(rat,[],[s588,s154,s155,s156]) ).

cnf(s667,plain,
    ( ~ spl0_41
    | ~ spl0_17
    | ~ spl0_11 ),
    inference(rat,[],[s412,s407,s151,s153]) ).

cnf(s668,plain,
    ( ~ spl0_11
    | spl0_56
    | spl0_35 ),
    inference(rat,[],[s410,s83,s132,s133,s55,s648,s590,s84,s134,s135,s29,s664,s163,s667,s46,s666,s658]) ).

cnf(s669,plain,
    ( ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s647,s79,s80,s127,s13,s432,s81,s128,s129,s25,s465,s74,s75,s76,s21,s447,s200,s4,s668,s665,s660,s658]) ).

cnf(s670,plain,
    ( spl0_11
    | spl0_1 ),
    inference(rat,[],[s6,s507,s432,s88,s89,s139,s81,s128,s129,s56,s25,s236,s268,s465,s220,s74,s75,s76,s9,s21,s447,s4,s669,s658]) ).

cnf(s671,plain,
    ( spl0_19
    | spl0_1 ),
    inference(rat,[],[s442,s62,s63,s111,s33,s9,s660,s669,s658]) ).

cnf(s672,plain,
    ( ~ spl0_53
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(rat,[],[s221,s599,s101,s102]) ).

cnf(s673,plain,
    ( ~ spl0_41
    | ~ spl0_2 ),
    inference(rat,[],[s347,s151,s152,s153]) ).

cnf(s674,plain,
    ( ~ spl0_57
    | ~ spl0_17 ),
    inference(rat,[],[s410,s83,s132,s133]) ).

cnf(s675,plain,
    ( ~ spl0_51
    | ~ spl0_13 ),
    inference(rat,[],[s507,s88,s89,s139]) ).

cnf(s677,plain,
    ( ~ spl0_62
    | ~ spl0_6 ),
    inference(rat,[],[s201,s67,s118,s119]) ).

cnf(s678,plain,
    ( ~ spl0_39
    | ~ spl0_15 ),
    inference(rat,[],[s432,s81,s128,s129]) ).

cnf(s680,plain,
    ( ~ spl0_46
    | ~ spl0_14
    | ~ spl0_6 ),
    inference(rat,[],[s271,s279,s77,s78,s126]) ).

cnf(s681,plain,
    ( ~ spl0_54
    | ~ spl0_26 ),
    inference(rat,[],[s496,s148,s149,s150]) ).

cnf(s682,plain,
    spl0_1,
    inference(rat,[],[s411,s7,s262,s290,s680,s92,s93,s141,s48,s47,s681,s12,s504,s8,s5,s569,s221,s672,s664,s100,s101,s102,s163,s673,s671,s666,s670,s1,s669,s660,s658]) ).

cnf(s683,plain,
    ( ~ spl0_52
    | ~ spl0_35
    | ~ spl0_2 ),
    inference(rat,[],[s197,s226,s116,s117]) ).

cnf(s684,plain,
    ( ~ spl0_2
    | spl0_46
    | spl0_4
    | ~ spl0_6 ),
    inference(rat,[],[s334,s72,s73,s125,s160,s683,s48,s681,s12,s504,s27,s569,s599,s5,s213,s664,s100,s101,s102,s163,s666,s199,s673,s60,s677,s658]) ).

cnf(s685,plain,
    ( ~ spl0_51
    | spl0_4
    | ~ spl0_6 ),
    inference(rat,[],[s409,s5,s281,s675,s88,s89,s139,s658]) ).

cnf(s686,plain,
    ( ~ spl0_2
    | spl0_4
    | ~ spl0_6
    | spl0_17 ),
    inference(rat,[],[s680,s7,s684,s252,s658]) ).

cnf(s687,plain,
    ( spl0_4
    | ~ spl0_6
    | spl0_17 ),
    inference(rat,[],[s307,s521,s103,s142,s161,s659,s3,s645,s90,s91,s140,s17,s253,s7,s680,s36,s686,s56,s685,s677,s658]) ).

cnf(s688,plain,
    ( ~ spl0_6
    | spl0_17 ),
    inference(rat,[],[s666,s46,s200,s665,s687,s658]) ).

cnf(s689,plain,
    ( spl0_53
    | ~ spl0_14
    | spl0_41
    | spl0_4
    | spl0_6 ),
    inference(rat,[],[s268,s220,s74,s75,s76,s9,s21,s442,s666,s62,s63,s111,s163,s40,s658]) ).

cnf(s690,plain,
    ( ~ spl0_46
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(rat,[],[s509,s271,s77,s78,s126]) ).

cnf(s691,plain,
    ( spl0_54
    | spl0_46
    | ~ spl0_2
    | spl0_6 ),
    inference(rat,[],[s683,s48,s41,s658]) ).

cnf(s692,plain,
    ( ~ spl0_24
    | ~ spl0_20 ),
    inference(rat,[],[s442,s62,s63,s111]) ).

cnf(s693,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | spl0_102
    | spl0_103
    | spl0_104
    | ~ spl0_2
    | spl0_4 ),
    inference(rat,[],[s418,s65,s114,s115,s59,s683,s33,s692,s9,s221,s569,s504,s658]) ).

cnf(s694,plain,
    ( ~ spl0_2
    | spl0_4
    | spl0_17 ),
    inference(rat,[],[s535,s154,s156,s12,s2,s693,s681,s691,s690,s5,s664,s100,s101,s102,s689,s7,s252,s673,s688,s658]) ).

cnf(s695,plain,
    ( ~ spl0_13
    | ~ spl0_14
    | spl0_2 ),
    inference(rat,[],[s36,s690,s675,s658]) ).

cnf(s696,plain,
    ( ~ spl0_32
    | ~ spl0_8 ),
    inference(rat,[],[s645,s90,s91,s140]) ).

cnf(s697,plain,
    ( ~ spl0_52
    | ~ spl0_5 ),
    inference(rat,[],[s365,s483,s66,s116,s117,s682]) ).

cnf(s698,plain,
    ( ~ spl0_14
    | spl0_4
    | spl0_17 ),
    inference(rat,[],[s268,s220,s74,s75,s76,s42,s697,s17,s696,s610,s10,s389,s223,s9,s484,s692,s62,s63,s111,s40,s664,s5,s695,s688,s694,s658,s682]) ).

cnf(s699,plain,
    ( ~ spl0_58
    | ~ spl0_16 ),
    inference(rat,[],[s290,s92,s93,s141]) ).

cnf(s700,plain,
    ( ~ spl0_34
    | ~ spl0_19
    | ~ spl0_47 ),
    inference(rat,[],[s236,s220,s74,s75,s76]) ).

cnf(s702,plain,
    ( ~ spl0_50
    | ~ spl0_47
    | ~ spl0_9 ),
    inference(rat,[],[s307,s521,s103,s142]) ).

cnf(s703,plain,
    ( ~ spl0_13
    | ~ spl0_9
    | ~ spl0_7 ),
    inference(rat,[],[s631,s510,s67,s119,s161,s702,s56,s675,s659,s658]) ).

cnf(s704,plain,
    ( spl0_4
    | spl0_17 ),
    inference(rat,[],[s25,s468,s678,s6,s703,s666,s12,s681,s47,s699,s3,s696,s17,s2,s253,s7,s698,s694,s688,s658]) ).

cnf(s705,plain,
    ( ~ spl0_5
    | spl0_17 ),
    inference(rat,[],[s418,s65,s114,s115,s59,s220,s268,s74,s75,s76,s42,s7,s697,s253,s658]) ).

cnf(s706,plain,
    spl0_17,
    inference(rat,[],[s705,s2,s202,s666,s46,s665,s704,s688,s658]) ).

cnf(s707,plain,
    ~ spl0_57,
    inference(rat,[],[s674,s706]) ).

cnf(s708,plain,
    ( ~ spl0_6
    | ~ spl0_47
    | ~ spl0_2
    | spl0_4 ),
    inference(rat,[],[s222,s236,s74,s75,s76,s54,s680,s60,s684,s677,s658,s707]) ).

cnf(s709,plain,
    ( ~ spl0_14
    | ~ spl0_13
    | ~ spl0_2
    | spl0_4 ),
    inference(rat,[],[s535,s154,s156,s12,s2,s693,s681,s100,s101,s102,s691,s689,s690,s673,s708,s56,s675,s658]) ).

cnf(s710,plain,
    ( ~ spl0_13
    | ~ spl0_2
    | spl0_4 ),
    inference(rat,[],[s33,s295,s692,s61,s109,s110,s9,s53,s700,s241,s54,s709,s56,s675,s658,s707]) ).

cnf(s711,plain,
    ( ~ spl0_2
    | spl0_4 ),
    inference(rat,[],[s25,s468,s678,s6,s689,s199,s666,s163,s664,s5,s710,s673,s658]) ).

cnf(s712,plain,
    ( ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s33,s295,s692,s61,s109,s110,s9,s53,s700,s241,s54,s56,s695,s675,s711,s658,s707]) ).

cnf(s713,plain,
    ( ~ spl0_6
    | ~ spl0_14
    | spl0_4 ),
    inference(rat,[],[s36,s680,s685,s711,s658]) ).

cnf(s714,plain,
    ( ~ spl0_14
    | spl0_4 ),
    inference(rat,[],[s268,s220,s74,s75,s76,s21,s9,s667,s692,s689,s40,s713,s664,s5,s712,s658,s706]) ).

cnf(s715,plain,
    ( spl0_13
    | spl0_4 ),
    inference(rat,[],[s163,s667,s666,s25,s468,s678,s6,s714,s664,s5,s658,s706]) ).

cnf(s716,plain,
    spl0_4,
    inference(rat,[],[s715,s712]) ).

cnf(s717,plain,
    ~ spl0_56,
    inference(rat,[],[s665,s716]) ).

cnf(s718,plain,
    spl0_10,
    inference(rat,[],[s55,s658,s707,s717]) ).

cnf(s719,plain,
    ( ~ spl0_6
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(rat,[],[s326,s636,s12,s72,s73,s125,s450,s160,s514,s683,s81,s128,s129,s668,s666,s162,s60,s199,s677,s658,s717,s707]) ).

cnf(s720,plain,
    ~ spl0_27,
    inference(rat,[],[s647,s79,s80,s127,s718]) ).

cnf(s721,plain,
    ( ~ spl0_54
    | ~ spl0_15 ),
    inference(rat,[],[s596,s635,s148,s149,s716]) ).

cnf(s722,plain,
    ( ~ spl0_2
    | ~ spl0_14 ),
    inference(rat,[],[s483,s197,s66,s116,s117,s41,s721,s13,s719,s720,s658,s682]) ).

cnf(s723,plain,
    ( ~ spl0_6
    | ~ spl0_14 ),
    inference(rat,[],[s662,s3,s18,s375,s439,s450,s281,s514,s88,s89,s139,s81,s128,s129,s36,s162,s680,s677,s722,s716,s658,s707]) ).

cnf(s724,plain,
    ( spl0_68
    | ~ spl0_120 ),
    inference(rat,[],[s378,s483,s682,s706]) ).

cnf(s725,plain,
    ~ spl0_52,
    inference(rat,[],[s724,s66,s116]) ).

cnf(s726,plain,
    spl0_6,
    inference(rat,[],[s721,s41,s13,s658,s725,s720]) ).

cnf(s727,plain,
    ~ spl0_62,
    inference(rat,[],[s677,s726]) ).

cnf(s729,plain,
    ~ spl0_14,
    inference(rat,[],[s723,s726]) ).

cnf(s730,plain,
    spl0_21,
    inference(rat,[],[s60,s658,s727]) ).

cnf(s731,plain,
    spl0_39,
    inference(rat,[],[s162,s707,s727]) ).

cnf(s736,plain,
    spl0_34,
    inference(rat,[],[s54,s707,s658,s729]) ).

cnf(s740,plain,
    ~ spl0_15,
    inference(rat,[],[s678,s731]) ).

cnf(s745,plain,
    ~ spl0_78,
    inference(rat,[],[s76,s736]) ).

cnf(s746,plain,
    ~ spl0_77,
    inference(rat,[],[s75,s736]) ).

cnf(s747,plain,
    ~ spl0_76,
    inference(rat,[],[s74,s736]) ).

cnf(s748,plain,
    spl0_13,
    inference(rat,[],[s6,s729,s658,s740]) ).

cnf(s756,plain,
    spl0_165,
    inference(rat,[],[s222,s745,s730,s747]) ).

cnf(s757,plain,
    ~ spl0_51,
    inference(rat,[],[s675,s748]) ).

cnf(s764,plain,
    ~ spl0_47,
    inference(rat,[],[s236,s747,s746,s756]) ).

cnf(s765,plain,
    $false,
    inference(rat,[],[s56,s658,s757,s764]) ).

fof(f2162,plain,
    $false,
    inference(avatar_sat_refutation,[],[s765]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN466-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17  % Computer : n016.cluster.edu
% 0.09/0.17  % Model    : x86_64 x86_64
% 0.09/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17  % Memory   : 8046.5625MB
% 0.09/0.17  % OS       : Linux 6.8.0-71-generic
% 0.09/0.17  % CPULimit : 300
% 0.09/0.17  % WCLimit  : 300
% 0.09/0.17  % DateTime : Mon Sep 28 16:14:18 UTC 2026
% 0.09/0.17  % CPUTime  : 
% 0.09/0.17  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21  Running first-order theorem proving
% 0.09/0.21  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.95/0.85  % (3737959)Input is clausal, will run a generic CNF schedule.
% 2.95/0.85  % (3737969)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3343117830:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.95/0.85  % (3737966)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1704754254:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.95/0.85  % (3737967)lrs+10_1_sil=8000:sp=occurrence:random_seed=2680201403:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.95/0.85  % (3737965)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4257878860:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.95/0.85  % (3737970)dis-21_1_sil=8000:lcm=predicate:random_seed=903776455:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.95/0.85  % (3737964)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=392085524:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.95/0.85  % (3737968)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=694822121:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.95/0.85  % (3737970)First to succeed.
% 2.95/0.85  % (3737969)Also succeeded, but the first one will report.
% 2.95/0.85  % (3737970)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3737959"
% 2.95/0.85  % (3737968)Also succeeded, but the first one will report.
% 2.95/0.85  % (3737967)Also succeeded, but the first one will report.
% 2.95/0.85  % (3737970)Refutation found. Thanks to Tanya!
% 2.95/0.85  % SZS status Unsatisfiable for theBenchmark
% 2.95/0.85  % SZS output start Proof for theBenchmark
% See solution above
% 3.55/1.05  % (3737970)------------------------------
% 3.55/1.05  % (3737970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.05  % (3737970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.05  % (3737970)CaDiCaL version: 2.1.3
% 3.55/1.05  % (3737970)Termination reason: Refutation
% 3.55/1.05  % (3737970)Time elapsed: 0.032 s
% 3.55/1.05  % (3737970)Peak memory usage: 90 MB
% 3.55/1.05  % (3737970)Instructions burned: 48 (million)
% 3.55/1.05  % (3737970)------------------------------
% 3.55/1.05  % (3737970)------------------------------
% 3.55/1.05  % (3737959)Success in time 0.447 s
% 3.55/1.05  % Vampire exiting
%------------------------------------------------------------------------------