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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN508-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:16:31 PM UTC 2026

% Result   : Unsatisfiable 0.20s 0.31s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :  277
% Syntax   : Number of formulae    : 1055 (  13 unt; 140 def)
%            Number of atoms       : 3486 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 4339 (1908   ~;2291   |;   0   &)
%                                         ( 140 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  175 ( 174 usr; 171 prp; 0-1 aty)
%            Number of functors    :   29 (  29 usr;  29 con; 0-0 aty)
%            Number of variables   :  171 (   0 sgn 171   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
    ( ~ hskp30
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f9,negated_conjecture,
    ( ~ hskp23
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).

fof(f15,negated_conjecture,
    ( ~ hskp17
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).

fof(f33,negated_conjecture,
    ( hskp23
    | hskp30
    | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f35,negated_conjecture,
    ( hskp25
    | hskp18
    | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f36,negated_conjecture,
    ( hskp6
    | hskp1
    | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f37,negated_conjecture,
    ( hskp6
    | hskp8
    | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f40,negated_conjecture,
    ( hskp7
    | hskp14
    | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f42,negated_conjecture,
    ( hskp9
    | hskp20
    | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( hskp22
    | hskp8
    | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( hskp18
    | hskp11
    | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp31
    | c0_1(a723) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp31
    | c1_1(a723) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f48,negated_conjecture,
    ( ~ hskp30
    | c0_1(a714) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp30
    | c2_1(a714) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( ~ hskp30
    | c3_1(a714) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp29
    | c1_1(a709) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp29
    | c2_1(a709) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( ~ hskp29
    | c3_1(a709) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( ~ hskp28
    | c0_1(a705) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f55,negated_conjecture,
    ( ~ hskp28
    | c1_1(a705) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( ~ hskp28
    | c2_1(a705) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f58,negated_conjecture,
    ( ~ hskp26
    | c0_1(a773) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp26
    | c1_1(a773) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp25
    | c0_1(a764) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp25
    | c2_1(a764) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp24
    | c0_1(a762) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f64,negated_conjecture,
    ( ~ hskp23
    | c0_1(a757) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( ~ hskp23
    | c1_1(a757) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( ~ hskp22
    | c1_1(a756) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( ~ hskp22
    | c2_1(a756) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp21
    | c2_1(a748) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp21
    | c3_1(a748) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp20
    | c1_1(a747) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp19
    | c1_1(a741) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp19
    | c3_1(a741) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp18
    | c2_1(a739) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp18
    | c3_1(a739) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp16
    | c0_1(a732) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp16
    | c3_1(a732) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f78,negated_conjecture,
    ( ~ hskp14
    | c1_1(a730) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp14
    | c3_1(a730) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f81,negated_conjecture,
    ( ~ hskp12
    | c2_1(a725) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp11
    | c3_1(a721) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ hskp10
    | c3_1(a720) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ hskp9
    | c1_1(a719) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ hskp9
    | c2_1(a719) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( ~ hskp8
    | c1_1(a718) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ hskp7
    | c0_1(a717) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ hskp6
    | c0_1(a716) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ hskp6
    | c2_1(a716) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ hskp4
    | c0_1(a711) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( ~ hskp2
    | c1_1(a708) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ hskp1
    | c0_1(a707) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f95,negated_conjecture,
    ( ~ c3_1(a773)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ c1_1(a764)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ c2_1(a762)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f99,negated_conjecture,
    ( ~ c3_1(a756)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c0_1(a748)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ c2_1(a747)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ c3_1(a747)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ c0_1(a741)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ c1_1(a739)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ c0_1(a734)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c1_1(a734)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c3_1(a734)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c1_1(a732)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f111,negated_conjecture,
    ( ~ c2_1(a730)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f114,negated_conjecture,
    ( ~ c0_1(a725)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c1_1(a725)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c0_1(a721)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c1_1(a721)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c1_1(a720)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f121,negated_conjecture,
    ( ~ c0_1(a718)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c2_1(a718)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ c2_1(a717)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ c3_1(a717)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ c3_1(a716)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ c0_1(a713)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ c2_1(a713)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ c3_1(a713)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f130,negated_conjecture,
    ( ~ c3_1(a711)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ( ~ c1_1(a710)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( ~ c2_1(a710)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f133,negated_conjecture,
    ( ~ c3_1(a710)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f135,negated_conjecture,
    ( ~ c3_1(a708)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f136,negated_conjecture,
    ( ~ c1_1(a707)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ( ~ c2_1(a707)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f138,negated_conjecture,
    ( ~ c0_1(a706)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f139,negated_conjecture,
    ( ~ c1_1(a706)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f140,negated_conjecture,
    ( ~ c2_1(a706)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f141,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | hskp28
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | hskp1
      | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp9
      | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f144,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp4
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp7
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f146,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp1
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp30
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f152,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp30
      | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f154,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp16
      | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f155,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp14
      | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f156,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp24
      | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f157,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp26
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f159,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp28
      | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f160,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp1
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f161,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp18
      | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f162,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp21
      | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f163,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp29
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f164,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp0
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f166,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp28
      | hskp31 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f168,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp16
      | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f169,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp19
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f171,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp31
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f172,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp8
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f173,negated_conjecture,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f175,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f177,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

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

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f185,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f187,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

fof(f188,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

fof(f192,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).

fof(f194,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c0_1(X1)
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).

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

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

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

fof(f201,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_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)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause201) ).

fof(f202,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | c0_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause202) ).

fof(f203,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X2)
      | c2_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause203) ).

fof(f204,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c0_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause204) ).

fof(f205,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause205) ).

fof(f206,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause206) ).

fof(f207,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X2)
      | ~ c1_1(X2)
      | c3_1(X0)
      | c3_1(X1)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause207) ).

fof(f208,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | c3_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause208) ).

fof(f210,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f211,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f213,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f214,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f216,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f220,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f221,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f222,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f208,f220,f216,f213,f210]) ).

fof(f224,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f225,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f227,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f228,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f229,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f207,f213,f216,f227,f224]) ).

fof(f231,definition,
    ( spl0_7
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f232,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f234,definition,
    ( spl0_8
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f235,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f236,plain,
    ( spl0_7
    | spl0_8
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f206,f220,f216,f234,f231]) ).

fof(f238,definition,
    ( spl0_9
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f239,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f241,definition,
    ( spl0_10
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f242,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f243,plain,
    ( spl0_9
    | spl0_8
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f205,f241,f216,f234,f238]) ).

fof(f245,definition,
    ( spl0_11
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f246,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f248,definition,
    ( spl0_12
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f249,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f250,plain,
    ( spl0_11
    | spl0_1
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f204,f248,f216,f210,f245]) ).

fof(f252,definition,
    ( spl0_13
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f253,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f255,definition,
    ( spl0_14
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f256,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f258,definition,
    ( spl0_15
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f259,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f260,plain,
    ( spl0_13
    | spl0_14
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f203,f258,f216,f255,f252]) ).

fof(f262,definition,
    ( spl0_16
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f263,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f264,plain,
    ( spl0_9
    | spl0_16
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f202,f210,f216,f262,f238]) ).

fof(f265,plain,
    ( spl0_11
    | spl0_9
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f201,f258,f216,f238,f245]) ).

fof(f267,definition,
    ( spl0_17
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f268,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f269,plain,
    ( spl0_7
    | spl0_14
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f200,f267,f216,f255,f231]) ).

fof(f270,plain,
    ( spl0_13
    | spl0_16
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f199,f213,f216,f262,f252]) ).

fof(f272,definition,
    ( spl0_18
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f273,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f274,plain,
    ( spl0_9
    | spl0_16
    | ~ spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f198,f272,f216,f262,f238]) ).

fof(f283,definition,
    ( spl0_21
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f288,definition,
    ( spl0_22
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f292,definition,
    ( spl0_23
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f293,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f296,definition,
    ( spl0_24
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f300,definition,
    ( spl0_25
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f301,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f302,plain,
    ( spl0_24
    | spl0_25
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f194,f258,f216,f300,f296]) ).

fof(f304,definition,
    ( spl0_26
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f309,definition,
    ( spl0_27
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f312,plain,
    ( spl0_27
    | spl0_8
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f192,f224,f216,f234,f309]) ).

fof(f314,definition,
    ( spl0_28
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f320,definition,
    ( spl0_29
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f325,definition,
    ( spl0_30
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f329,definition,
    ( spl0_31
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f330,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f331,plain,
    ( spl0_30
    | spl0_31
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f188,f227,f216,f329,f325]) ).

fof(f333,definition,
    ( spl0_32
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f336,plain,
    ( spl0_32
    | spl0_17
    | ~ spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f187,f292,f216,f267,f333]) ).

fof(f338,definition,
    ( spl0_33
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f343,definition,
    ( spl0_34
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f347,definition,
    ( spl0_35
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f348,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f349,plain,
    ( spl0_34
    | spl0_35
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f185,f234,f216,f347,f343]) ).

fof(f354,definition,
    ( spl0_37
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f355,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f357,plain,
    ( spl0_24
    | spl0_7
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f183,f227,f216,f231,f296]) ).

fof(f359,definition,
    ( spl0_38
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f362,plain,
    ( spl0_38
    | spl0_7
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f182,f234,f216,f231,f359]) ).

fof(f364,definition,
    ( spl0_39
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f368,definition,
    ( spl0_40
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f369,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f370,plain,
    ( spl0_39
    | spl0_16
    | ~ spl0_3
    | spl0_40 ),
    inference(avatar_split_clause,[],[f181,f368,f216,f262,f364]) ).

fof(f372,definition,
    ( spl0_41
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f384,definition,
    ( spl0_44
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f385,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f388,definition,
    ( spl0_45
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f389,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f390,plain,
    ( spl0_17
    | ~ spl0_3
    | spl0_45 ),
    inference(avatar_split_clause,[],[f178,f388,f216,f267]) ).

fof(f391,plain,
    ( spl0_34
    | spl0_16
    | ~ spl0_3
    | spl0_31 ),
    inference(avatar_split_clause,[],[f177,f329,f216,f262,f343]) ).

fof(f394,definition,
    ( spl0_46
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f397,plain,
    ( spl0_46
    | spl0_11
    | ~ spl0_3
    | spl0_37 ),
    inference(avatar_split_clause,[],[f175,f354,f216,f245,f394]) ).

fof(f399,definition,
    ( spl0_47
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f403,plain,
    ( spl0_34
    | spl0_11
    | spl0_13
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f173,f216,f252,f245,f343]) ).

fof(f405,definition,
    ( spl0_48
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f409,definition,
    ( spl0_49
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f412,plain,
    ( spl0_48
    | spl0_49
    | ~ spl0_3
    | spl0_45 ),
    inference(avatar_split_clause,[],[f172,f388,f216,f409,f405]) ).

fof(f414,definition,
    ( spl0_50
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f417,plain,
    ( spl0_50
    | spl0_29
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f171,f213,f216,f320,f414]) ).

fof(f423,definition,
    ( spl0_52
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f427,plain,
    ( spl0_49
    | spl0_26
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f169,f224,f216,f304,f409]) ).

fof(f428,plain,
    ( spl0_47
    | spl0_30
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f168,f224,f216,f325,f399]) ).

fof(f430,plain,
    ( spl0_29
    | spl0_24
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f166,f224,f216,f296,f320]) ).

fof(f432,definition,
    ( spl0_53
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f437,definition,
    ( spl0_54
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f440,plain,
    ( spl0_54
    | spl0_48
    | ~ spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f164,f292,f216,f405,f437]) ).

fof(f441,plain,
    ( spl0_54
    | spl0_34
    | ~ spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f163,f292,f216,f343,f437]) ).

fof(f443,definition,
    ( spl0_55
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f446,plain,
    ( spl0_47
    | spl0_55
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f162,f210,f216,f443,f399]) ).

fof(f448,definition,
    ( spl0_56
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f451,plain,
    ( spl0_47
    | spl0_56
    | ~ spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f161,f300,f216,f448,f399]) ).

fof(f452,plain,
    ( spl0_49
    | spl0_50
    | ~ spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f160,f300,f216,f414,f409]) ).

fof(f454,definition,
    ( spl0_57
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f455,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f456,plain,
    ( spl0_56
    | spl0_24
    | ~ spl0_3
    | spl0_57 ),
    inference(avatar_split_clause,[],[f159,f454,f216,f296,f448]) ).

fof(f459,definition,
    ( spl0_58
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f462,plain,
    ( spl0_38
    | spl0_58
    | ~ spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f157,f272,f216,f459,f359]) ).

fof(f464,definition,
    ( spl0_59
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f467,plain,
    ( spl0_56
    | spl0_59
    | ~ spl0_3
    | spl0_44 ),
    inference(avatar_split_clause,[],[f156,f384,f216,f464,f448]) ).

fof(f468,plain,
    ( spl0_47
    | spl0_27
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f155,f267,f216,f309,f399]) ).

fof(f469,plain,
    ( spl0_53
    | spl0_30
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f154,f255,f216,f325,f432]) ).

fof(f471,plain,
    ( spl0_56
    | spl0_41
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f152,f255,f216,f372,f448]) ).

fof(f479,definition,
    ( spl0_61
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f480,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f482,plain,
    ( spl0_52
    | spl0_41
    | ~ spl0_3
    | spl0_61 ),
    inference(avatar_split_clause,[],[f148,f479,f216,f372,f423]) ).

fof(f485,definition,
    ( spl0_62
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f488,plain,
    ( spl0_62
    | spl0_50
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f146,f231,f216,f414,f485]) ).

fof(f489,plain,
    ( spl0_49
    | spl0_52
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f145,f262,f216,f423,f409]) ).

fof(f490,plain,
    ( spl0_54
    | spl0_28
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f144,f238,f216,f314,f437]) ).

fof(f492,definition,
    ( spl0_63
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f496,definition,
    ( spl0_64
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f499,plain,
    ( spl0_63
    | spl0_64
    | spl0_13
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f143,f216,f252,f496,f492]) ).

fof(f501,definition,
    ( spl0_65
  <=> ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f502,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f503,plain,
    ( spl0_21
    | spl0_50
    | spl0_65
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f142,f216,f501,f414,f283]) ).

fof(f504,plain,
    ( spl0_48
    | spl0_24
    | spl0_65
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f141,f216,f501,f296,f405]) ).

fof(f506,definition,
    ( spl0_66
  <=> c2_1(a706) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f508,plain,
    ( ~ c2_1(a706)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f509,plain,
    ( ~ spl0_48
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f140,f506,f405]) ).

fof(f511,definition,
    ( spl0_67
  <=> c1_1(a706) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f513,plain,
    ( ~ c1_1(a706)
    | spl0_67 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f514,plain,
    ( ~ spl0_48
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f139,f511,f405]) ).

fof(f516,definition,
    ( spl0_68
  <=> c0_1(a706) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f518,plain,
    ( ~ c0_1(a706)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f519,plain,
    ( ~ spl0_48
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f138,f516,f405]) ).

fof(f521,definition,
    ( spl0_69
  <=> c2_1(a707) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f523,plain,
    ( ~ c2_1(a707)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f524,plain,
    ( ~ spl0_50
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f137,f521,f414]) ).

fof(f526,definition,
    ( spl0_70
  <=> c1_1(a707) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f528,plain,
    ( ~ c1_1(a707)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f529,plain,
    ( ~ spl0_50
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f136,f526,f414]) ).

fof(f531,definition,
    ( spl0_71
  <=> c3_1(a708) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f533,plain,
    ( ~ c3_1(a708)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f534,plain,
    ( ~ spl0_21
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f135,f531,f283]) ).

fof(f541,definition,
    ( spl0_73
  <=> c3_1(a710) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f543,plain,
    ( ~ c3_1(a710)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f544,plain,
    ( ~ spl0_46
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f133,f541,f394]) ).

fof(f546,definition,
    ( spl0_74
  <=> c2_1(a710) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f548,plain,
    ( ~ c2_1(a710)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f549,plain,
    ( ~ spl0_46
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f132,f546,f394]) ).

fof(f551,definition,
    ( spl0_75
  <=> c1_1(a710) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f553,plain,
    ( ~ c1_1(a710)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f554,plain,
    ( ~ spl0_46
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f131,f551,f394]) ).

fof(f556,definition,
    ( spl0_76
  <=> c3_1(a711) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f558,plain,
    ( ~ c3_1(a711)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f559,plain,
    ( ~ spl0_28
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f130,f556,f314]) ).

fof(f566,definition,
    ( spl0_78
  <=> c3_1(a713) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f568,plain,
    ( ~ c3_1(a713)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f569,plain,
    ( ~ spl0_54
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f128,f566,f437]) ).

fof(f571,definition,
    ( spl0_79
  <=> c2_1(a713) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f573,plain,
    ( ~ c2_1(a713)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f574,plain,
    ( ~ spl0_54
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f127,f571,f437]) ).

fof(f576,definition,
    ( spl0_80
  <=> c0_1(a713) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f578,plain,
    ( ~ c0_1(a713)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f579,plain,
    ( ~ spl0_54
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f126,f576,f437]) ).

fof(f581,definition,
    ( spl0_81
  <=> c3_1(a716) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f583,plain,
    ( ~ c3_1(a716)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f584,plain,
    ( ~ spl0_39
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f125,f581,f364]) ).

fof(f586,definition,
    ( spl0_82
  <=> c3_1(a717) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f588,plain,
    ( ~ c3_1(a717)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f589,plain,
    ( ~ spl0_52
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f124,f586,f423]) ).

fof(f591,definition,
    ( spl0_83
  <=> c2_1(a717) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f593,plain,
    ( ~ c2_1(a717)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f594,plain,
    ( ~ spl0_52
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f123,f591,f423]) ).

fof(f596,definition,
    ( spl0_84
  <=> c2_1(a718) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f598,plain,
    ( ~ c2_1(a718)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f599,plain,
    ( ~ spl0_49
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f122,f596,f409]) ).

fof(f601,definition,
    ( spl0_85
  <=> c0_1(a718) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f603,plain,
    ( ~ c0_1(a718)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f604,plain,
    ( ~ spl0_49
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f121,f601,f409]) ).

fof(f616,definition,
    ( spl0_88
  <=> c1_1(a720) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f619,plain,
    ( ~ spl0_63
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f118,f616,f492]) ).

fof(f621,definition,
    ( spl0_89
  <=> c1_1(a721) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f623,plain,
    ( ~ c1_1(a721)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f621]) ).

fof(f624,plain,
    ( ~ spl0_38
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f117,f621,f359]) ).

fof(f626,definition,
    ( spl0_90
  <=> c0_1(a721) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f628,plain,
    ( ~ c0_1(a721)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f629,plain,
    ( ~ spl0_38
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f116,f626,f359]) ).

fof(f631,definition,
    ( spl0_91
  <=> c1_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f633,plain,
    ( ~ c1_1(a725)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f634,plain,
    ( ~ spl0_62
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f115,f631,f485]) ).

fof(f636,definition,
    ( spl0_92
  <=> c0_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f638,plain,
    ( ~ c0_1(a725)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f639,plain,
    ( ~ spl0_62
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f114,f636,f485]) ).

fof(f651,definition,
    ( spl0_95
  <=> c2_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f653,plain,
    ( ~ c2_1(a730)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f654,plain,
    ( ~ spl0_27
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f111,f651,f309]) ).

fof(f666,definition,
    ( spl0_98
  <=> c1_1(a732) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f668,plain,
    ( ~ c1_1(a732)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f669,plain,
    ( ~ spl0_30
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f108,f666,f325]) ).

fof(f671,definition,
    ( spl0_99
  <=> c3_1(a734) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f673,plain,
    ( ~ c3_1(a734)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f674,plain,
    ( ~ spl0_47
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f107,f671,f399]) ).

fof(f676,definition,
    ( spl0_100
  <=> c1_1(a734) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f678,plain,
    ( ~ c1_1(a734)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f679,plain,
    ( ~ spl0_47
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f106,f676,f399]) ).

fof(f681,definition,
    ( spl0_101
  <=> c0_1(a734) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f683,plain,
    ( ~ c0_1(a734)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f684,plain,
    ( ~ spl0_47
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f105,f681,f399]) ).

fof(f686,definition,
    ( spl0_102
  <=> c1_1(a739) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f688,plain,
    ( ~ c1_1(a739)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f689,plain,
    ( ~ spl0_56
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f104,f686,f448]) ).

fof(f691,definition,
    ( spl0_103
  <=> c0_1(a741) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f693,plain,
    ( ~ c0_1(a741)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f694,plain,
    ( ~ spl0_26
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f103,f691,f304]) ).

fof(f696,definition,
    ( spl0_104
  <=> c3_1(a747) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f698,plain,
    ( ~ c3_1(a747)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f699,plain,
    ( ~ spl0_33
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f102,f696,f338]) ).

fof(f701,definition,
    ( spl0_105
  <=> c2_1(a747) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f703,plain,
    ( ~ c2_1(a747)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f704,plain,
    ( ~ spl0_33
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f101,f701,f338]) ).

fof(f706,definition,
    ( spl0_106
  <=> c0_1(a748) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f708,plain,
    ( ~ c0_1(a748)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f709,plain,
    ( ~ spl0_55
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f100,f706,f443]) ).

fof(f711,definition,
    ( spl0_107
  <=> c3_1(a756) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f713,plain,
    ( ~ c3_1(a756)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f714,plain,
    ( ~ spl0_53
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f99,f711,f432]) ).

fof(f721,definition,
    ( spl0_109
  <=> c2_1(a762) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f723,plain,
    ( ~ c2_1(a762)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f724,plain,
    ( ~ spl0_59
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f97,f721,f464]) ).

fof(f726,definition,
    ( spl0_110
  <=> c1_1(a764) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f728,plain,
    ( ~ c1_1(a764)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f729,plain,
    ( ~ spl0_22
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f96,f726,f288]) ).

fof(f731,definition,
    ( spl0_111
  <=> c3_1(a773) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f733,plain,
    ( ~ c3_1(a773)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f734,plain,
    ( ~ spl0_58
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f95,f731,f459]) ).

fof(f746,definition,
    ( spl0_114
  <=> c0_1(a707) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f748,plain,
    ( c0_1(a707)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f749,plain,
    ( spl0_114
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f92,f414,f746]) ).

fof(f751,definition,
    ( spl0_115
  <=> c1_1(a708) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f754,plain,
    ( spl0_115
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f91,f283,f751]) ).

fof(f756,definition,
    ( spl0_116
  <=> c0_1(a711) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f758,plain,
    ( c0_1(a711)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f759,plain,
    ( spl0_116
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f90,f314,f756]) ).

fof(f761,definition,
    ( spl0_117
  <=> c2_1(a716) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f763,plain,
    ( c2_1(a716)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f764,plain,
    ( spl0_117
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f89,f364,f761]) ).

fof(f766,definition,
    ( spl0_118
  <=> c0_1(a716) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f768,plain,
    ( c0_1(a716)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f766]) ).

fof(f769,plain,
    ( spl0_118
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f88,f364,f766]) ).

fof(f771,definition,
    ( spl0_119
  <=> c0_1(a717) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f773,plain,
    ( c0_1(a717)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f774,plain,
    ( spl0_119
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f87,f423,f771]) ).

fof(f776,definition,
    ( spl0_120
  <=> c1_1(a718) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f778,plain,
    ( c1_1(a718)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f779,plain,
    ( spl0_120
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f86,f409,f776]) ).

fof(f781,definition,
    ( spl0_121
  <=> c2_1(a719) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f783,plain,
    ( c2_1(a719)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f781]) ).

fof(f784,plain,
    ( spl0_121
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f85,f496,f781]) ).

fof(f786,definition,
    ( spl0_122
  <=> c1_1(a719) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f788,plain,
    ( c1_1(a719)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f789,plain,
    ( spl0_122
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f84,f496,f786]) ).

fof(f791,definition,
    ( spl0_123
  <=> c3_1(a720) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f793,plain,
    ( c3_1(a720)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f794,plain,
    ( spl0_123
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f83,f492,f791]) ).

fof(f796,definition,
    ( spl0_124
  <=> c3_1(a721) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f798,plain,
    ( c3_1(a721)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f799,plain,
    ( spl0_124
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f82,f359,f796]) ).

fof(f801,definition,
    ( spl0_125
  <=> c2_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f803,plain,
    ( c2_1(a725)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f804,plain,
    ( spl0_125
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f81,f485,f801]) ).

fof(f811,definition,
    ( spl0_127
  <=> c3_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f813,plain,
    ( c3_1(a730)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f814,plain,
    ( spl0_127
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f79,f309,f811]) ).

fof(f816,definition,
    ( spl0_128
  <=> c1_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f818,plain,
    ( c1_1(a730)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f819,plain,
    ( spl0_128
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f78,f309,f816]) ).

fof(f826,definition,
    ( spl0_130
  <=> c3_1(a732) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f828,plain,
    ( c3_1(a732)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f829,plain,
    ( spl0_130
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f76,f325,f826]) ).

fof(f831,definition,
    ( spl0_131
  <=> c0_1(a732) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f833,plain,
    ( c0_1(a732)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f834,plain,
    ( spl0_131
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f75,f325,f831]) ).

fof(f836,definition,
    ( spl0_132
  <=> c3_1(a739) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f838,plain,
    ( c3_1(a739)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f839,plain,
    ( spl0_132
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f74,f448,f836]) ).

fof(f841,definition,
    ( spl0_133
  <=> c2_1(a739) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f843,plain,
    ( c2_1(a739)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f841]) ).

fof(f844,plain,
    ( spl0_133
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f73,f448,f841]) ).

fof(f846,definition,
    ( spl0_134
  <=> c3_1(a741) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f848,plain,
    ( c3_1(a741)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f846]) ).

fof(f849,plain,
    ( spl0_134
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f72,f304,f846]) ).

fof(f851,definition,
    ( spl0_135
  <=> c1_1(a741) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f853,plain,
    ( c1_1(a741)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f854,plain,
    ( spl0_135
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f71,f304,f851]) ).

fof(f856,definition,
    ( spl0_136
  <=> c1_1(a747) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f858,plain,
    ( c1_1(a747)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f859,plain,
    ( spl0_136
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f70,f338,f856]) ).

fof(f861,definition,
    ( spl0_137
  <=> c3_1(a748) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f863,plain,
    ( c3_1(a748)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f861]) ).

fof(f864,plain,
    ( spl0_137
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f69,f443,f861]) ).

fof(f866,definition,
    ( spl0_138
  <=> c2_1(a748) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f868,plain,
    ( c2_1(a748)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f869,plain,
    ( spl0_138
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f68,f443,f866]) ).

fof(f871,definition,
    ( spl0_139
  <=> c2_1(a756) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f873,plain,
    ( c2_1(a756)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f874,plain,
    ( spl0_139
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f67,f432,f871]) ).

fof(f876,definition,
    ( spl0_140
  <=> c1_1(a756) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f878,plain,
    ( c1_1(a756)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f879,plain,
    ( spl0_140
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f66,f432,f876]) ).

fof(f881,definition,
    ( spl0_141
  <=> c1_1(a757) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f883,plain,
    ( c1_1(a757)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f884,plain,
    ( spl0_141
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f65,f333,f881]) ).

fof(f886,definition,
    ( spl0_142
  <=> c0_1(a757) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f888,plain,
    ( c0_1(a757)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f889,plain,
    ( spl0_142
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f64,f333,f886]) ).

fof(f896,definition,
    ( spl0_144
  <=> c0_1(a762) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f898,plain,
    ( c0_1(a762)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f896]) ).

fof(f899,plain,
    ( spl0_144
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f62,f464,f896]) ).

fof(f901,definition,
    ( spl0_145
  <=> c2_1(a764) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f903,plain,
    ( c2_1(a764)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f904,plain,
    ( spl0_145
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f61,f288,f901]) ).

fof(f906,definition,
    ( spl0_146
  <=> c0_1(a764) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f908,plain,
    ( c0_1(a764)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f909,plain,
    ( spl0_146
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f60,f288,f906]) ).

fof(f911,definition,
    ( spl0_147
  <=> c1_1(a773) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f913,plain,
    ( c1_1(a773)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f914,plain,
    ( spl0_147
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f59,f459,f911]) ).

fof(f916,definition,
    ( spl0_148
  <=> c0_1(a773) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f918,plain,
    ( c0_1(a773)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f916]) ).

fof(f919,plain,
    ( spl0_148
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f58,f459,f916]) ).

fof(f926,definition,
    ( spl0_150
  <=> c2_1(a705) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f928,plain,
    ( c2_1(a705)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f926]) ).

fof(f929,plain,
    ( spl0_150
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f56,f296,f926]) ).

fof(f931,definition,
    ( spl0_151
  <=> c1_1(a705) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f933,plain,
    ( c1_1(a705)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f931]) ).

fof(f934,plain,
    ( spl0_151
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f55,f296,f931]) ).

fof(f936,definition,
    ( spl0_152
  <=> c0_1(a705) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f938,plain,
    ( c0_1(a705)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f939,plain,
    ( spl0_152
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f54,f296,f936]) ).

fof(f941,definition,
    ( spl0_153
  <=> c3_1(a709) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f943,plain,
    ( c3_1(a709)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f941]) ).

fof(f944,plain,
    ( spl0_153
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f53,f343,f941]) ).

fof(f946,definition,
    ( spl0_154
  <=> c2_1(a709) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f948,plain,
    ( c2_1(a709)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f949,plain,
    ( spl0_154
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f52,f343,f946]) ).

fof(f951,definition,
    ( spl0_155
  <=> c1_1(a709) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f953,plain,
    ( c1_1(a709)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f954,plain,
    ( spl0_155
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f51,f343,f951]) ).

fof(f956,definition,
    ( spl0_156
  <=> c3_1(a714) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f958,plain,
    ( c3_1(a714)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f959,plain,
    ( spl0_156
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f50,f372,f956]) ).

fof(f961,definition,
    ( spl0_157
  <=> c2_1(a714) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f963,plain,
    ( c2_1(a714)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f964,plain,
    ( spl0_157
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f49,f372,f961]) ).

fof(f966,definition,
    ( spl0_158
  <=> c0_1(a714) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f968,plain,
    ( c0_1(a714)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f969,plain,
    ( spl0_158
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f48,f372,f966]) ).

fof(f976,definition,
    ( spl0_160
  <=> c1_1(a723) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f978,plain,
    ( c1_1(a723)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f976]) ).

fof(f979,plain,
    ( spl0_160
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f46,f320,f976]) ).

fof(f981,definition,
    ( spl0_161
  <=> c0_1(a723) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f983,plain,
    ( c0_1(a723)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f981]) ).

fof(f984,plain,
    ( spl0_161
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f45,f320,f981]) ).

fof(f985,plain,
    ( spl0_54
    | spl0_38
    | spl0_56 ),
    inference(avatar_split_clause,[],[f44,f448,f359,f437]) ).

fof(f986,plain,
    ( spl0_38
    | spl0_49
    | spl0_53 ),
    inference(avatar_split_clause,[],[f43,f432,f409,f359]) ).

fof(f987,plain,
    ( spl0_56
    | spl0_33
    | spl0_64 ),
    inference(avatar_split_clause,[],[f42,f496,f338,f448]) ).

fof(f989,plain,
    ( spl0_49
    | spl0_27
    | spl0_52 ),
    inference(avatar_split_clause,[],[f40,f423,f309,f409]) ).

fof(f992,plain,
    ( spl0_56
    | spl0_49
    | spl0_39 ),
    inference(avatar_split_clause,[],[f37,f364,f409,f448]) ).

fof(f993,plain,
    ( spl0_55
    | spl0_50
    | spl0_39 ),
    inference(avatar_split_clause,[],[f36,f364,f414,f443]) ).

fof(f994,plain,
    ( spl0_62
    | spl0_56
    | spl0_22 ),
    inference(avatar_split_clause,[],[f35,f288,f448,f485]) ).

fof(f996,plain,
    ( spl0_47
    | spl0_41
    | spl0_32 ),
    inference(avatar_split_clause,[],[f33,f333,f372,f399]) ).

fof(f1010,plain,
    ( spl0_3
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f15,f399,f216]) ).

fof(f1015,plain,
    ( spl0_3
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f9,f333,f216]) ).

fof(f1019,plain,
    ( spl0_3
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f2,f372,f216]) ).

fof(f1020,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f249,f228]) ).

fof(f1021,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f256,f225]) ).

fof(f1022,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f259,f214]) ).

fof(f1023,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f263,f246]) ).

fof(f1024,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f268,f235]) ).

fof(f1026,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_8
    | ~ spl0_44 ),
    inference(forward_subsumption_resolution,[],[f385,f235]) ).

fof(f1027,plain,
    ( ! [X0] : ~ c0_1(X0)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f1022,f1021]) ).

fof(f1029,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_116 ),
    inference(resolution,[],[f1027,f758]) ).

fof(f1030,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f1029]) ).

fof(f1046,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_13
    | ~ spl0_61 ),
    inference(forward_subsumption_resolution,[],[f253,f480]) ).

fof(f1049,plain,
    ( ! [X2] : c2_1(X2)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_61 ),
    inference(forward_subsumption_resolution,[],[f1046,f1021]) ).

fof(f1051,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_61
    | spl0_84 ),
    inference(resolution,[],[f1049,f598]) ).

fof(f1058,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_61
    | spl0_84 ),
    inference(avatar_contradiction_clause,[],[f1051]) ).

fof(f1076,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_16
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f263,f293]) ).

fof(f1097,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_2
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f330,f214]) ).

fof(f1102,plain,
    ( ~ c0_1(a717)
    | ~ spl0_5
    | ~ spl0_14
    | spl0_83 ),
    inference(resolution,[],[f1021,f593]) ).

fof(f1108,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_14
    | spl0_83
    | ~ spl0_119 ),
    inference(forward_subsumption_resolution,[],[f1102,f773]) ).

fof(f1109,plain,
    ( ~ spl0_5
    | ~ spl0_14
    | spl0_83
    | ~ spl0_119 ),
    inference(avatar_contradiction_clause,[],[f1108]) ).

fof(f1112,plain,
    ( c1_1(a739)
    | ~ spl0_16
    | ~ spl0_23
    | ~ spl0_132 ),
    inference(resolution,[],[f1076,f838]) ).

fof(f1117,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_23
    | spl0_102
    | ~ spl0_132 ),
    inference(forward_subsumption_resolution,[],[f1112,f688]) ).

fof(f1118,plain,
    ( ~ spl0_16
    | ~ spl0_23
    | spl0_102
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f1117]) ).

fof(f1120,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_16
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[],[f301,f263]) ).

fof(f1170,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_1
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f259,f211]) ).

fof(f1171,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_18
    | ~ spl0_45 ),
    inference(forward_subsumption_resolution,[],[f389,f273]) ).

fof(f1195,plain,
    ( ~ c3_1(a739)
    | ~ spl0_1
    | ~ spl0_15
    | ~ spl0_133 ),
    inference(resolution,[],[f1170,f843]) ).

fof(f1211,plain,
    ( ~ c1_1(a708)
    | ~ spl0_18
    | ~ spl0_45
    | spl0_71 ),
    inference(resolution,[],[f1171,f533]) ).

fof(f1245,plain,
    ( ~ c0_1(a762)
    | ~ spl0_5
    | ~ spl0_14
    | spl0_109 ),
    inference(resolution,[],[f723,f1021]) ).

fof(f1246,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_14
    | spl0_109
    | ~ spl0_144 ),
    inference(forward_subsumption_resolution,[],[f1245,f898]) ).

fof(f1247,plain,
    ( ~ spl0_5
    | ~ spl0_14
    | spl0_109
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f1246]) ).

fof(f1248,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f221,f225]) ).

fof(f1250,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_1
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[],[f348,f211]) ).

fof(f1261,plain,
    ( ~ c0_1(a723)
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_160 ),
    inference(resolution,[],[f1248,f978]) ).

fof(f1264,plain,
    ( ~ c0_1(a757)
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_141 ),
    inference(resolution,[],[f1248,f883]) ).

fof(f1269,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_141
    | ~ spl0_142 ),
    inference(forward_subsumption_resolution,[],[f1264,f888]) ).

fof(f1270,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_141
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f1269]) ).

fof(f1275,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_160
    | ~ spl0_161 ),
    inference(forward_subsumption_resolution,[],[f1261,f983]) ).

fof(f1276,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_160
    | ~ spl0_161 ),
    inference(avatar_contradiction_clause,[],[f1275]) ).

fof(f1305,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f214,f1021]) ).

fof(f1374,plain,
    ( ~ c0_1(a723)
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_160 ),
    inference(resolution,[],[f1020,f978]) ).

fof(f1376,plain,
    ( ~ c0_1(a705)
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_151 ),
    inference(resolution,[],[f1020,f933]) ).

fof(f1385,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_160
    | ~ spl0_161 ),
    inference(forward_subsumption_resolution,[],[f1374,f983]) ).

fof(f1386,plain,
    ( ~ spl0_6
    | ~ spl0_12
    | ~ spl0_160
    | ~ spl0_161 ),
    inference(avatar_contradiction_clause,[],[f1385]) ).

fof(f1398,plain,
    ( c1_1(a721)
    | ~ spl0_8
    | ~ spl0_17
    | ~ spl0_124 ),
    inference(resolution,[],[f1024,f798]) ).

fof(f1399,plain,
    ( c1_1(a720)
    | ~ spl0_8
    | ~ spl0_17
    | ~ spl0_123 ),
    inference(resolution,[],[f1024,f793]) ).

fof(f1447,plain,
    ( c1_1(a725)
    | ~ spl0_8
    | ~ spl0_44
    | ~ spl0_125 ),
    inference(resolution,[],[f1026,f803]) ).

fof(f1454,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_44
    | spl0_91
    | ~ spl0_125 ),
    inference(forward_subsumption_resolution,[],[f1447,f633]) ).

fof(f1455,plain,
    ( ~ spl0_8
    | ~ spl0_44
    | spl0_91
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f1454]) ).

fof(f1471,plain,
    ( ~ c0_1(a711)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_14
    | spl0_76 ),
    inference(resolution,[],[f1305,f558]) ).

fof(f1475,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_14
    | spl0_76
    | ~ spl0_116 ),
    inference(forward_subsumption_resolution,[],[f1471,f758]) ).

fof(f1476,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_14
    | spl0_76
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f1475]) ).

fof(f1612,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_18
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[],[f273,f369]) ).

fof(f1633,plain,
    ( spl0_89
    | ~ spl0_8
    | ~ spl0_17
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1398,f796,f267,f234,f621]) ).

fof(f1634,plain,
    ( spl0_88
    | ~ spl0_8
    | ~ spl0_17
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1399,f791,f267,f234,f616]) ).

fof(f1642,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_15
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[],[f355,f259]) ).

fof(f1768,plain,
    ( ~ c0_1(a705)
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_150 ),
    inference(resolution,[],[f1022,f928]) ).

fof(f1773,plain,
    ( ~ c0_1(a739)
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_133 ),
    inference(resolution,[],[f1022,f843]) ).

fof(f1785,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_150
    | ~ spl0_152 ),
    inference(forward_subsumption_resolution,[],[f1768,f938]) ).

fof(f1786,plain,
    ( ~ spl0_2
    | ~ spl0_15
    | ~ spl0_150
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f1785]) ).

fof(f1839,plain,
    ( ~ c0_1(a732)
    | ~ spl0_15
    | ~ spl0_37
    | ~ spl0_130 ),
    inference(resolution,[],[f1642,f828]) ).

fof(f1876,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[],[f232,f225]) ).

fof(f1879,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f293,f1248]) ).

fof(f1886,plain,
    ( c0_1(a739)
    | ~ spl0_11
    | ~ spl0_16
    | spl0_102 ),
    inference(resolution,[],[f1023,f688]) ).

fof(f1887,plain,
    ( c0_1(a725)
    | ~ spl0_11
    | ~ spl0_16
    | spl0_91 ),
    inference(resolution,[],[f1023,f633]) ).

fof(f1891,plain,
    ( c0_1(a734)
    | ~ spl0_11
    | ~ spl0_16
    | spl0_100 ),
    inference(resolution,[],[f1023,f678]) ).

fof(f1893,plain,
    ( c0_1(a706)
    | ~ spl0_11
    | ~ spl0_16
    | spl0_67 ),
    inference(resolution,[],[f1023,f513]) ).

fof(f1894,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_16
    | spl0_67
    | spl0_68 ),
    inference(forward_subsumption_resolution,[],[f1893,f518]) ).

fof(f1895,plain,
    ( ~ spl0_11
    | ~ spl0_16
    | spl0_67
    | spl0_68 ),
    inference(avatar_contradiction_clause,[],[f1894]) ).

fof(f1976,plain,
    ( c0_1(a756)
    | ~ spl0_1
    | ~ spl0_35
    | ~ spl0_139 ),
    inference(resolution,[],[f1250,f873]) ).

fof(f1984,plain,
    ( ~ c1_1(a747)
    | ~ spl0_5
    | ~ spl0_7
    | spl0_105 ),
    inference(resolution,[],[f1876,f703]) ).

fof(f1986,plain,
    ( ~ c1_1(a730)
    | ~ spl0_5
    | ~ spl0_7
    | spl0_95 ),
    inference(resolution,[],[f1876,f653]) ).

fof(f2003,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | spl0_95
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f1986,f818]) ).

fof(f2004,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | spl0_95
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f2003]) ).

fof(f2061,plain,
    ( c0_1(a709)
    | ~ c3_1(a709)
    | ~ spl0_1
    | ~ spl0_154 ),
    inference(resolution,[],[f211,f948]) ).

fof(f2072,plain,
    ( c0_1(a709)
    | ~ spl0_1
    | ~ spl0_153
    | ~ spl0_154 ),
    inference(forward_subsumption_resolution,[],[f2061,f943]) ).

fof(f2094,plain,
    ( ~ spl0_136
    | ~ spl0_5
    | ~ spl0_7
    | spl0_105 ),
    inference(avatar_split_clause,[],[f1984,f701,f231,f224,f856]) ).

fof(f2096,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_45 ),
    inference(forward_subsumption_resolution,[],[f389,f1876]) ).

fof(f2132,plain,
    ( ~ c1_1(a756)
    | ~ spl0_18
    | ~ spl0_45
    | spl0_107 ),
    inference(resolution,[],[f1171,f713]) ).

fof(f2133,plain,
    ( ~ c1_1(a747)
    | ~ spl0_18
    | ~ spl0_45
    | spl0_104 ),
    inference(resolution,[],[f1171,f698]) ).

fof(f2159,plain,
    ( ~ c1_1(a756)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_45
    | spl0_107 ),
    inference(resolution,[],[f2096,f713]) ).

fof(f2169,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_45
    | spl0_107
    | ~ spl0_140 ),
    inference(forward_subsumption_resolution,[],[f2159,f878]) ).

fof(f2170,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_45
    | spl0_107
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f2169]) ).

fof(f2193,plain,
    ( ~ c0_1(a747)
    | ~ c1_1(a747)
    | ~ spl0_6
    | spl0_104 ),
    inference(resolution,[],[f228,f698]) ).

fof(f2208,plain,
    ( c1_1(a764)
    | ~ c3_1(a764)
    | ~ spl0_8
    | ~ spl0_145 ),
    inference(resolution,[],[f235,f903]) ).

fof(f2211,plain,
    ( c1_1(a739)
    | ~ c3_1(a739)
    | ~ spl0_8
    | ~ spl0_133 ),
    inference(resolution,[],[f235,f843]) ).

fof(f2231,plain,
    ( c1_1(a739)
    | c0_1(a739)
    | ~ spl0_9
    | ~ spl0_133 ),
    inference(resolution,[],[f239,f843]) ).

fof(f2234,plain,
    ( c1_1(a725)
    | c0_1(a725)
    | ~ spl0_9
    | ~ spl0_125 ),
    inference(resolution,[],[f239,f803]) ).

fof(f2243,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_13
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f330,f253]) ).

fof(f2304,plain,
    ( c3_1(a717)
    | ~ spl0_13
    | ~ spl0_31
    | spl0_83 ),
    inference(resolution,[],[f2243,f593]) ).

fof(f2309,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_31
    | spl0_82
    | spl0_83 ),
    inference(forward_subsumption_resolution,[],[f2304,f588]) ).

fof(f2310,plain,
    ( ~ spl0_13
    | ~ spl0_31
    | spl0_82
    | spl0_83 ),
    inference(avatar_contradiction_clause,[],[f2309]) ).

fof(f2316,plain,
    ( ~ c3_1(a739)
    | ~ spl0_8
    | spl0_102
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f2211,f688]) ).

fof(f2334,plain,
    ( c0_1(a739)
    | ~ spl0_9
    | spl0_102
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f2231,f688]) ).

fof(f2344,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_57 ),
    inference(forward_subsumption_resolution,[],[f455,f1248]) ).

fof(f2346,plain,
    ( ! [X0] : ~ c1_1(X0)
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_57 ),
    inference(forward_subsumption_resolution,[],[f2344,f1876]) ).

fof(f2351,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_57
    | ~ spl0_155 ),
    inference(resolution,[],[f2346,f953]) ).

fof(f2366,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_57
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f2351]) ).

fof(f2373,plain,
    ( ~ spl0_136
    | ~ spl0_18
    | ~ spl0_45
    | spl0_104 ),
    inference(avatar_split_clause,[],[f2133,f696,f388,f272,f856]) ).

fof(f2427,plain,
    ( ~ c0_1(a739)
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_23
    | ~ spl0_132 ),
    inference(resolution,[],[f1879,f838]) ).

fof(f2440,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_23
    | spl0_102
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f2427,f2334]) ).

fof(f2441,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_23
    | spl0_102
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f2440]) ).

fof(f2516,plain,
    ( spl0_101
    | ~ spl0_11
    | ~ spl0_16
    | spl0_100 ),
    inference(avatar_split_clause,[],[f1891,f676,f262,f245,f681]) ).

fof(f2526,definition,
    ( spl0_162
  <=> c0_1(a739) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f2527,plain,
    ( ~ c0_1(a739)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f2526]) ).

fof(f2528,plain,
    ( c0_1(a739)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f2526]) ).

fof(f2557,plain,
    ( spl0_162
    | ~ spl0_9
    | spl0_102
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2334,f841,f686,f238,f2526]) ).

fof(f2662,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_133
    | ~ spl0_162 ),
    inference(forward_subsumption_resolution,[],[f1773,f2528]) ).

fof(f2663,plain,
    ( ~ spl0_2
    | ~ spl0_15
    | ~ spl0_133
    | ~ spl0_162 ),
    inference(avatar_contradiction_clause,[],[f2662]) ).

fof(f2668,plain,
    ( c0_1(a725)
    | ~ spl0_9
    | spl0_91
    | ~ spl0_125 ),
    inference(forward_subsumption_resolution,[],[f2234,f633]) ).

fof(f2671,plain,
    ( $false
    | ~ spl0_9
    | spl0_91
    | spl0_92
    | ~ spl0_125 ),
    inference(forward_subsumption_resolution,[],[f2668,f638]) ).

fof(f2672,plain,
    ( ~ spl0_9
    | spl0_91
    | spl0_92
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f2671]) ).

fof(f2675,plain,
    ( ~ spl0_152
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1376,f931,f248,f227,f936]) ).

fof(f2721,plain,
    ( ~ spl0_131
    | ~ spl0_15
    | ~ spl0_37
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1839,f826,f354,f258,f831]) ).

fof(f2782,plain,
    ( ~ c0_1(a756)
    | ~ c1_1(a756)
    | ~ spl0_6
    | spl0_107 ),
    inference(resolution,[],[f228,f713]) ).

fof(f2796,plain,
    ( ~ c3_1(a709)
    | ~ c1_1(a709)
    | ~ spl0_10
    | ~ spl0_154 ),
    inference(resolution,[],[f242,f948]) ).

fof(f2819,plain,
    ( ~ c1_1(a709)
    | ~ spl0_10
    | ~ spl0_153
    | ~ spl0_154 ),
    inference(forward_subsumption_resolution,[],[f2796,f943]) ).

fof(f2825,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_153
    | ~ spl0_154
    | ~ spl0_155 ),
    inference(forward_subsumption_resolution,[],[f2819,f953]) ).

fof(f2826,plain,
    ( ~ spl0_10
    | ~ spl0_153
    | ~ spl0_154
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f2825]) ).

fof(f2829,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_16
    | spl0_102
    | spl0_162 ),
    inference(forward_subsumption_resolution,[],[f1886,f2527]) ).

fof(f2830,plain,
    ( ~ spl0_11
    | ~ spl0_16
    | spl0_102
    | spl0_162 ),
    inference(avatar_contradiction_clause,[],[f2829]) ).

fof(f2844,plain,
    ( c0_1(a721)
    | ~ spl0_11
    | ~ spl0_16
    | spl0_89 ),
    inference(resolution,[],[f1023,f623]) ).

fof(f2851,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_16
    | spl0_89
    | spl0_90 ),
    inference(forward_subsumption_resolution,[],[f2844,f628]) ).

fof(f2852,plain,
    ( ~ spl0_11
    | ~ spl0_16
    | spl0_89
    | spl0_90 ),
    inference(avatar_contradiction_clause,[],[f2851]) ).

fof(f2859,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_9
    | ~ spl0_65 ),
    inference(forward_subsumption_resolution,[],[f502,f239]) ).

fof(f2870,plain,
    ( c0_1(a721)
    | ~ spl0_9
    | ~ spl0_65
    | spl0_89 ),
    inference(resolution,[],[f2859,f623]) ).

fof(f2877,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_65
    | spl0_89
    | spl0_90 ),
    inference(forward_subsumption_resolution,[],[f2870,f628]) ).

fof(f2878,plain,
    ( ~ spl0_9
    | ~ spl0_65
    | spl0_89
    | spl0_90 ),
    inference(avatar_contradiction_clause,[],[f2877]) ).

fof(f2901,plain,
    ( ~ c3_1(a714)
    | ~ c0_1(a714)
    | ~ spl0_15
    | ~ spl0_157 ),
    inference(resolution,[],[f259,f963]) ).

fof(f2902,plain,
    ( ~ c3_1(a709)
    | ~ c0_1(a709)
    | ~ spl0_15
    | ~ spl0_154 ),
    inference(resolution,[],[f259,f948]) ).

fof(f2910,plain,
    ( ~ c3_1(a739)
    | ~ c0_1(a739)
    | ~ spl0_15
    | ~ spl0_133 ),
    inference(resolution,[],[f259,f843]) ).

fof(f2921,plain,
    ( ~ c0_1(a739)
    | ~ spl0_15
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f2910,f838]) ).

fof(f2923,plain,
    ( ~ c0_1(a714)
    | ~ spl0_15
    | ~ spl0_156
    | ~ spl0_157 ),
    inference(forward_subsumption_resolution,[],[f2901,f958]) ).

fof(f2928,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_132
    | ~ spl0_133
    | ~ spl0_162 ),
    inference(forward_subsumption_resolution,[],[f2921,f2528]) ).

fof(f2929,plain,
    ( ~ spl0_15
    | ~ spl0_132
    | ~ spl0_133
    | ~ spl0_162 ),
    inference(avatar_contradiction_clause,[],[f2928]) ).

fof(f2932,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_156
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(forward_subsumption_resolution,[],[f2923,f968]) ).

fof(f2933,plain,
    ( ~ spl0_15
    | ~ spl0_156
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f2932]) ).

fof(f2940,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_13
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[],[f253,f348]) ).

fof(f2952,plain,
    ( c0_1(a734)
    | ~ spl0_13
    | ~ spl0_35
    | spl0_99 ),
    inference(resolution,[],[f2940,f673]) ).

fof(f2957,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_35
    | spl0_99
    | spl0_101 ),
    inference(forward_subsumption_resolution,[],[f2952,f683]) ).

fof(f2958,plain,
    ( ~ spl0_13
    | ~ spl0_35
    | spl0_99
    | spl0_101 ),
    inference(avatar_contradiction_clause,[],[f2957]) ).

fof(f2969,plain,
    ( ~ spl0_132
    | ~ spl0_1
    | ~ spl0_15
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1195,f841,f258,f210,f836]) ).

fof(f2975,definition,
    ( spl0_164
  <=> c0_1(a756) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f2987,plain,
    ( ~ spl0_132
    | ~ spl0_8
    | spl0_102
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2316,f841,f686,f234,f836]) ).

fof(f2990,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_14
    | ~ spl0_65 ),
    inference(forward_subsumption_resolution,[],[f502,f256]) ).

fof(f2991,plain,
    ( ~ c0_1(a709)
    | ~ spl0_15
    | ~ spl0_153
    | ~ spl0_154 ),
    inference(forward_subsumption_resolution,[],[f2902,f943]) ).

fof(f2993,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4
    | ~ spl0_57 ),
    inference(forward_subsumption_resolution,[],[f221,f455]) ).

fof(f2996,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_15
    | ~ spl0_153
    | ~ spl0_154 ),
    inference(forward_subsumption_resolution,[],[f2991,f2072]) ).

fof(f2997,plain,
    ( ~ spl0_1
    | ~ spl0_15
    | ~ spl0_153
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f2996]) ).

fof(f3053,plain,
    ( c1_1(a706)
    | ~ spl0_14
    | ~ spl0_65
    | spl0_66 ),
    inference(resolution,[],[f2990,f508]) ).

fof(f3054,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_65
    | spl0_66
    | spl0_67 ),
    inference(forward_subsumption_resolution,[],[f3053,f513]) ).

fof(f3055,plain,
    ( ~ spl0_14
    | ~ spl0_65
    | spl0_66
    | spl0_67 ),
    inference(avatar_contradiction_clause,[],[f3054]) ).

fof(f3073,plain,
    ( ~ c1_1(a719)
    | ~ spl0_4
    | ~ spl0_57
    | ~ spl0_121 ),
    inference(resolution,[],[f2993,f783]) ).

fof(f3075,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_57
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f3073,f788]) ).

fof(f3076,plain,
    ( ~ spl0_4
    | ~ spl0_57
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f3075]) ).

fof(f3083,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_1
    | ~ spl0_15
    | ~ spl0_45 ),
    inference(forward_subsumption_resolution,[],[f389,f1170]) ).

fof(f3092,plain,
    ( ~ c1_1(a719)
    | ~ spl0_1
    | ~ spl0_15
    | ~ spl0_45
    | ~ spl0_121 ),
    inference(resolution,[],[f3083,f783]) ).

fof(f3094,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_15
    | ~ spl0_45
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f3092,f788]) ).

fof(f3095,plain,
    ( ~ spl0_1
    | ~ spl0_15
    | ~ spl0_45
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f3094]) ).

fof(f3102,plain,
    ( ~ c0_1(a747)
    | ~ spl0_6
    | spl0_104
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[],[f2193,f858]) ).

fof(f3114,plain,
    ( c3_1(a747)
    | c0_1(a747)
    | ~ spl0_13
    | spl0_105 ),
    inference(resolution,[],[f253,f703]) ).

fof(f3122,plain,
    ( c3_1(a713)
    | c0_1(a713)
    | ~ spl0_13
    | spl0_79 ),
    inference(resolution,[],[f253,f573]) ).

fof(f3123,plain,
    ( c3_1(a710)
    | c0_1(a710)
    | ~ spl0_13
    | spl0_74 ),
    inference(resolution,[],[f253,f548]) ).

fof(f3124,plain,
    ( c3_1(a706)
    | c0_1(a706)
    | ~ spl0_13
    | spl0_66 ),
    inference(resolution,[],[f253,f508]) ).

fof(f3125,plain,
    ( c3_1(a706)
    | ~ spl0_13
    | spl0_66
    | spl0_68 ),
    inference(forward_subsumption_resolution,[],[f3124,f518]) ).

fof(f3126,plain,
    ( c0_1(a710)
    | ~ spl0_13
    | spl0_73
    | spl0_74 ),
    inference(forward_subsumption_resolution,[],[f3123,f543]) ).

fof(f3127,plain,
    ( c0_1(a713)
    | ~ spl0_13
    | spl0_78
    | spl0_79 ),
    inference(forward_subsumption_resolution,[],[f3122,f568]) ).

fof(f3130,plain,
    ( c0_1(a747)
    | ~ spl0_13
    | spl0_104
    | spl0_105 ),
    inference(forward_subsumption_resolution,[],[f3114,f698]) ).

fof(f3133,plain,
    ( $false
    | ~ spl0_13
    | spl0_78
    | spl0_79
    | spl0_80 ),
    inference(forward_subsumption_resolution,[],[f3127,f578]) ).

fof(f3134,plain,
    ( ~ spl0_13
    | spl0_78
    | spl0_79
    | spl0_80 ),
    inference(avatar_contradiction_clause,[],[f3133]) ).

fof(f3135,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_13
    | spl0_104
    | spl0_105
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[],[f3130,f3102]) ).

fof(f3136,plain,
    ( ~ spl0_6
    | ~ spl0_13
    | spl0_104
    | spl0_105
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f3135]) ).

fof(f3140,plain,
    ( spl0_162
    | ~ spl0_11
    | ~ spl0_16
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1886,f686,f262,f245,f2526]) ).

fof(f3141,plain,
    ( spl0_92
    | ~ spl0_11
    | ~ spl0_16
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1887,f631,f262,f245,f636]) ).

fof(f3154,plain,
    ( spl0_164
    | ~ spl0_1
    | ~ spl0_35
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1976,f871,f347,f210,f2975]) ).

fof(f3155,plain,
    ( ~ c0_1(a756)
    | ~ spl0_6
    | spl0_107
    | ~ spl0_140 ),
    inference(forward_subsumption_resolution,[],[f2782,f878]) ).

fof(f3158,plain,
    ( ~ spl0_164
    | ~ spl0_6
    | spl0_107
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f3155,f876,f711,f227,f2975]) ).

fof(f3168,plain,
    ( ~ c0_1(a773)
    | ~ c1_1(a773)
    | ~ spl0_6
    | spl0_111 ),
    inference(resolution,[],[f733,f228]) ).

fof(f3169,plain,
    ( ~ c1_1(a773)
    | ~ spl0_6
    | spl0_111
    | ~ spl0_148 ),
    inference(forward_subsumption_resolution,[],[f3168,f918]) ).

fof(f3170,plain,
    ( $false
    | ~ spl0_6
    | spl0_111
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(forward_subsumption_resolution,[],[f3169,f913]) ).

fof(f3171,plain,
    ( ~ spl0_6
    | spl0_111
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f3170]) ).

fof(f3190,plain,
    ( c0_1(a748)
    | ~ spl0_16
    | ~ spl0_25
    | ~ spl0_137 ),
    inference(resolution,[],[f1120,f863]) ).

fof(f3195,plain,
    ( c0_1(a721)
    | ~ spl0_16
    | ~ spl0_25
    | ~ spl0_124 ),
    inference(resolution,[],[f1120,f798]) ).

fof(f3197,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_25
    | spl0_90
    | ~ spl0_124 ),
    inference(forward_subsumption_resolution,[],[f3195,f628]) ).

fof(f3198,plain,
    ( ~ spl0_16
    | ~ spl0_25
    | spl0_90
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f3197]) ).

fof(f3203,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_25
    | spl0_106
    | ~ spl0_137 ),
    inference(forward_subsumption_resolution,[],[f3190,f708]) ).

fof(f3204,plain,
    ( ~ spl0_16
    | ~ spl0_25
    | spl0_106
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f3203]) ).

fof(f3209,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_57 ),
    inference(forward_subsumption_resolution,[],[f455,f1022]) ).

fof(f3299,plain,
    ( ~ c0_1(a711)
    | ~ spl0_2
    | ~ spl0_31
    | spl0_76 ),
    inference(resolution,[],[f1097,f558]) ).

fof(f3304,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_31
    | spl0_76
    | ~ spl0_116 ),
    inference(forward_subsumption_resolution,[],[f3299,f758]) ).

fof(f3305,plain,
    ( ~ spl0_2
    | ~ spl0_31
    | spl0_76
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f3304]) ).

fof(f3310,plain,
    ( ~ c1_1(a709)
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_57
    | ~ spl0_154 ),
    inference(resolution,[],[f3209,f948]) ).

fof(f3323,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_57
    | ~ spl0_154
    | ~ spl0_155 ),
    inference(forward_subsumption_resolution,[],[f3310,f953]) ).

fof(f3324,plain,
    ( ~ spl0_2
    | ~ spl0_15
    | ~ spl0_57
    | ~ spl0_154
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f3323]) ).

fof(f3411,plain,
    ( c3_1(a764)
    | ~ c0_1(a764)
    | ~ spl0_2
    | ~ spl0_145 ),
    inference(resolution,[],[f214,f903]) ).

fof(f3417,plain,
    ( c3_1(a716)
    | ~ c0_1(a716)
    | ~ spl0_2
    | ~ spl0_117 ),
    inference(resolution,[],[f214,f763]) ).

fof(f3419,plain,
    ( ~ c0_1(a716)
    | ~ spl0_2
    | spl0_81
    | ~ spl0_117 ),
    inference(forward_subsumption_resolution,[],[f3417,f583]) ).

fof(f3420,plain,
    ( c3_1(a764)
    | ~ spl0_2
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(forward_subsumption_resolution,[],[f3411,f908]) ).

fof(f3423,plain,
    ( $false
    | ~ spl0_2
    | spl0_81
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f3419,f768]) ).

fof(f3424,plain,
    ( ~ spl0_2
    | spl0_81
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f3423]) ).

fof(f3436,plain,
    ( ~ c1_1(a718)
    | ~ spl0_18
    | ~ spl0_40
    | spl0_84 ),
    inference(resolution,[],[f1612,f598]) ).

fof(f3441,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_40
    | spl0_84
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f3436,f778]) ).

fof(f3442,plain,
    ( ~ spl0_18
    | ~ spl0_40
    | spl0_84
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f3441]) ).

fof(f3517,plain,
    ( ~ c1_1(a718)
    | c0_1(a718)
    | ~ spl0_7
    | spl0_84 ),
    inference(resolution,[],[f232,f598]) ).

fof(f3522,plain,
    ( c0_1(a718)
    | ~ spl0_7
    | spl0_84
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f3517,f778]) ).

fof(f3526,plain,
    ( $false
    | ~ spl0_7
    | spl0_84
    | spl0_85
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f3522,f603]) ).

fof(f3527,plain,
    ( ~ spl0_7
    | spl0_84
    | spl0_85
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f3526]) ).

fof(f3530,plain,
    ( ~ c0_1(a705)
    | ~ c1_1(a705)
    | ~ spl0_4
    | ~ spl0_150 ),
    inference(resolution,[],[f221,f928]) ).

fof(f3540,plain,
    ( ~ c1_1(a705)
    | ~ spl0_4
    | ~ spl0_150
    | ~ spl0_152 ),
    inference(forward_subsumption_resolution,[],[f3530,f938]) ).

fof(f3543,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_150
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(forward_subsumption_resolution,[],[f3540,f933]) ).

fof(f3544,plain,
    ( ~ spl0_4
    | ~ spl0_150
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f3543]) ).

fof(f3546,plain,
    ( ~ c3_1(a764)
    | ~ spl0_8
    | spl0_110
    | ~ spl0_145 ),
    inference(forward_subsumption_resolution,[],[f2208,f728]) ).

fof(f3550,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | spl0_110
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(forward_subsumption_resolution,[],[f3546,f3420]) ).

fof(f3551,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_110
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f3550]) ).

fof(f3567,plain,
    ( c0_1(a748)
    | ~ c3_1(a748)
    | ~ spl0_1
    | ~ spl0_138 ),
    inference(resolution,[],[f211,f868]) ).

fof(f3573,plain,
    ( ~ c3_1(a748)
    | ~ spl0_1
    | spl0_106
    | ~ spl0_138 ),
    inference(forward_subsumption_resolution,[],[f3567,f708]) ).

fof(f3574,plain,
    ( $false
    | ~ spl0_1
    | spl0_106
    | ~ spl0_137
    | ~ spl0_138 ),
    inference(forward_subsumption_resolution,[],[f3573,f863]) ).

fof(f3575,plain,
    ( ~ spl0_1
    | spl0_106
    | ~ spl0_137
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f3574]) ).

fof(f3621,plain,
    ( c0_1(a734)
    | c1_1(a734)
    | ~ spl0_11
    | spl0_99 ),
    inference(resolution,[],[f246,f673]) ).

fof(f3624,plain,
    ( c1_1(a734)
    | ~ spl0_11
    | spl0_99
    | spl0_101 ),
    inference(forward_subsumption_resolution,[],[f3621,f683]) ).

fof(f3627,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(resolution,[],[f253,f239]) ).

fof(f3644,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f3627]) ).

fof(f3659,plain,
    ( ~ c0_1(a707)
    | c1_1(a707)
    | ~ spl0_14
    | spl0_69 ),
    inference(resolution,[],[f256,f523]) ).

fof(f3660,plain,
    ( ~ c0_1(a710)
    | c1_1(a710)
    | ~ spl0_14
    | spl0_74 ),
    inference(resolution,[],[f256,f548]) ).

fof(f3664,plain,
    ( c1_1(a710)
    | ~ spl0_13
    | ~ spl0_14
    | spl0_73
    | spl0_74 ),
    inference(forward_subsumption_resolution,[],[f3660,f3126]) ).

fof(f3665,plain,
    ( c1_1(a707)
    | ~ spl0_14
    | spl0_69
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[],[f3659,f748]) ).

fof(f3670,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_14
    | spl0_73
    | spl0_74
    | spl0_75 ),
    inference(forward_subsumption_resolution,[],[f3664,f553]) ).

fof(f3671,plain,
    ( ~ spl0_13
    | ~ spl0_14
    | spl0_73
    | spl0_74
    | spl0_75 ),
    inference(avatar_contradiction_clause,[],[f3670]) ).

fof(f3672,plain,
    ( $false
    | ~ spl0_14
    | spl0_69
    | spl0_70
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[],[f3665,f528]) ).

fof(f3673,plain,
    ( ~ spl0_14
    | spl0_69
    | spl0_70
    | ~ spl0_114 ),
    inference(avatar_contradiction_clause,[],[f3672]) ).

fof(f3688,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(resolution,[],[f232,f211]) ).

fof(f3702,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(duplicate_literal_removal,[],[f3688]) ).

fof(f3736,plain,
    ( ~ spl0_115
    | ~ spl0_18
    | ~ spl0_45
    | spl0_71 ),
    inference(avatar_split_clause,[],[f1211,f531,f388,f272,f751]) ).

fof(f3741,plain,
    ( ~ spl0_140
    | ~ spl0_18
    | ~ spl0_45
    | spl0_107 ),
    inference(avatar_split_clause,[],[f2132,f711,f388,f272,f876]) ).

fof(f3807,plain,
    ( spl0_11
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f3644,f252,f238,f245]) ).

fof(f3808,plain,
    ( spl0_25
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f3702,f231,f210,f300]) ).

fof(f3817,plain,
    ( spl0_100
    | ~ spl0_11
    | spl0_99
    | spl0_101 ),
    inference(avatar_split_clause,[],[f3624,f681,f671,f245,f676]) ).

fof(f3853,plain,
    ( ~ c3_1(a706)
    | c1_1(a706)
    | ~ spl0_17
    | spl0_66 ),
    inference(resolution,[],[f268,f508]) ).

fof(f3856,plain,
    ( c1_1(a706)
    | ~ spl0_13
    | ~ spl0_17
    | spl0_66
    | spl0_68 ),
    inference(forward_subsumption_resolution,[],[f3853,f3125]) ).

fof(f3867,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_17
    | spl0_66
    | spl0_67
    | spl0_68 ),
    inference(forward_subsumption_resolution,[],[f3856,f513]) ).

fof(f3868,plain,
    ( ~ spl0_13
    | ~ spl0_17
    | spl0_66
    | spl0_67
    | spl0_68 ),
    inference(avatar_contradiction_clause,[],[f3867]) ).

fof(f3953,plain,
    ( c1_1(a739)
    | ~ c0_1(a739)
    | ~ spl0_23
    | ~ spl0_132 ),
    inference(resolution,[],[f293,f838]) ).

fof(f3954,plain,
    ( c1_1(a732)
    | ~ c0_1(a732)
    | ~ spl0_23
    | ~ spl0_130 ),
    inference(resolution,[],[f293,f828]) ).

fof(f3962,plain,
    ( ~ c0_1(a732)
    | ~ spl0_23
    | spl0_98
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f3954,f668]) ).

fof(f3963,plain,
    ( ~ c0_1(a739)
    | ~ spl0_23
    | spl0_102
    | ~ spl0_132 ),
    inference(forward_subsumption_resolution,[],[f3953,f688]) ).

fof(f3966,plain,
    ( $false
    | ~ spl0_23
    | spl0_98
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f3962,f833]) ).

fof(f3967,plain,
    ( ~ spl0_23
    | spl0_98
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f3966]) ).

fof(f3968,plain,
    ( $false
    | ~ spl0_23
    | spl0_102
    | ~ spl0_132
    | ~ spl0_162 ),
    inference(forward_subsumption_resolution,[],[f3963,f2528]) ).

fof(f3969,plain,
    ( ~ spl0_23
    | spl0_102
    | ~ spl0_132
    | ~ spl0_162 ),
    inference(avatar_contradiction_clause,[],[f3968]) ).

fof(f3980,plain,
    ( c0_1(a741)
    | ~ c1_1(a741)
    | ~ spl0_25
    | ~ spl0_134 ),
    inference(resolution,[],[f301,f848]) ).

fof(f3990,plain,
    ( ~ c1_1(a741)
    | ~ spl0_25
    | spl0_103
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f3980,f693]) ).

fof(f3992,plain,
    ( $false
    | ~ spl0_25
    | spl0_103
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f3990,f853]) ).

fof(f3993,plain,
    ( ~ spl0_25
    | spl0_103
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f3992]) ).

fof(f4005,plain,
    ( ~ c1_1(a730)
    | ~ c3_1(a730)
    | ~ spl0_40
    | spl0_95 ),
    inference(resolution,[],[f369,f653]) ).

fof(f4015,plain,
    ( ~ c3_1(a730)
    | ~ spl0_40
    | spl0_95
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f4005,f818]) ).

fof(f4018,plain,
    ( $false
    | ~ spl0_40
    | spl0_95
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f4015,f813]) ).

fof(f4019,plain,
    ( ~ spl0_40
    | spl0_95
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f4018]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f222]) ).

cnf(s2,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f229]) ).

cnf(s3,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f236]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f243]) ).

cnf(s5,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f250]) ).

cnf(s6,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(sat_conversion,[],[f260]) ).

cnf(s7,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_9
    | spl0_16 ),
    inference(sat_conversion,[],[f264]) ).

cnf(s8,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_11
    | spl0_15 ),
    inference(sat_conversion,[],[f265]) ).

cnf(s9,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_14
    | spl0_17 ),
    inference(sat_conversion,[],[f269]) ).

cnf(s10,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_13
    | spl0_16 ),
    inference(sat_conversion,[],[f270]) ).

cnf(s11,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_16
    | spl0_18 ),
    inference(sat_conversion,[],[f274]) ).

cnf(s15,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f302]) ).

cnf(s17,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_8
    | spl0_27 ),
    inference(sat_conversion,[],[f312]) ).

cnf(s21,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_30
    | spl0_31 ),
    inference(sat_conversion,[],[f331]) ).

cnf(s22,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_23
    | spl0_32 ),
    inference(sat_conversion,[],[f336]) ).

cnf(s24,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_34
    | spl0_35 ),
    inference(sat_conversion,[],[f349]) ).

cnf(s26,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_7
    | spl0_24 ),
    inference(sat_conversion,[],[f357]) ).

cnf(s27,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_8
    | spl0_38 ),
    inference(sat_conversion,[],[f362]) ).

cnf(s28,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_39
    | spl0_40 ),
    inference(sat_conversion,[],[f370]) ).

cnf(s31,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_45 ),
    inference(sat_conversion,[],[f390]) ).

cnf(s32,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_31
    | spl0_34 ),
    inference(sat_conversion,[],[f391]) ).

cnf(s34,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_37
    | spl0_46 ),
    inference(sat_conversion,[],[f397]) ).

cnf(s36,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_13
    | spl0_34 ),
    inference(sat_conversion,[],[f403]) ).

cnf(s37,plain,
    ( ~ spl0_3
    | spl0_45
    | spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f412]) ).

cnf(s38,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_29
    | spl0_50 ),
    inference(sat_conversion,[],[f417]) ).

cnf(s40,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_26
    | spl0_49 ),
    inference(sat_conversion,[],[f427]) ).

cnf(s41,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_30
    | spl0_47 ),
    inference(sat_conversion,[],[f428]) ).

cnf(s43,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_24
    | spl0_29 ),
    inference(sat_conversion,[],[f430]) ).

cnf(s45,plain,
    ( ~ spl0_3
    | spl0_23
    | spl0_48
    | spl0_54 ),
    inference(sat_conversion,[],[f440]) ).

cnf(s46,plain,
    ( ~ spl0_3
    | spl0_23
    | spl0_34
    | spl0_54 ),
    inference(sat_conversion,[],[f441]) ).

cnf(s47,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_47
    | spl0_55 ),
    inference(sat_conversion,[],[f446]) ).

cnf(s48,plain,
    ( ~ spl0_3
    | spl0_25
    | spl0_47
    | spl0_56 ),
    inference(sat_conversion,[],[f451]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | spl0_25
    | spl0_49
    | spl0_50 ),
    inference(sat_conversion,[],[f452]) ).

cnf(s50,plain,
    ( ~ spl0_3
    | spl0_24
    | spl0_56
    | spl0_57 ),
    inference(sat_conversion,[],[f456]) ).

cnf(s52,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_38
    | spl0_58 ),
    inference(sat_conversion,[],[f462]) ).

cnf(s53,plain,
    ( ~ spl0_3
    | spl0_44
    | spl0_56
    | spl0_59 ),
    inference(sat_conversion,[],[f467]) ).

cnf(s54,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_27
    | spl0_47 ),
    inference(sat_conversion,[],[f468]) ).

cnf(s55,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_30
    | spl0_53 ),
    inference(sat_conversion,[],[f469]) ).

cnf(s57,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_41
    | spl0_56 ),
    inference(sat_conversion,[],[f471]) ).

cnf(s61,plain,
    ( ~ spl0_3
    | spl0_41
    | spl0_52
    | spl0_61 ),
    inference(sat_conversion,[],[f482]) ).

cnf(s63,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_50
    | spl0_62 ),
    inference(sat_conversion,[],[f488]) ).

cnf(s64,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_49
    | spl0_52 ),
    inference(sat_conversion,[],[f489]) ).

cnf(s65,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_28
    | spl0_54 ),
    inference(sat_conversion,[],[f490]) ).

cnf(s66,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_63
    | spl0_64 ),
    inference(sat_conversion,[],[f499]) ).

cnf(s67,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_50
    | spl0_65 ),
    inference(sat_conversion,[],[f503]) ).

cnf(s68,plain,
    ( ~ spl0_3
    | spl0_24
    | spl0_48
    | spl0_65 ),
    inference(sat_conversion,[],[f504]) ).

cnf(s69,plain,
    ( ~ spl0_48
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f509]) ).

cnf(s70,plain,
    ( ~ spl0_48
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f514]) ).

cnf(s71,plain,
    ( ~ spl0_48
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f519]) ).

cnf(s72,plain,
    ( ~ spl0_50
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f524]) ).

cnf(s73,plain,
    ( ~ spl0_50
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f529]) ).

cnf(s74,plain,
    ( ~ spl0_21
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f534]) ).

cnf(s76,plain,
    ( ~ spl0_46
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f544]) ).

cnf(s77,plain,
    ( ~ spl0_46
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f549]) ).

cnf(s78,plain,
    ( ~ spl0_46
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f554]) ).

cnf(s79,plain,
    ( ~ spl0_28
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f559]) ).

cnf(s81,plain,
    ( ~ spl0_54
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f569]) ).

cnf(s82,plain,
    ( ~ spl0_54
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f574]) ).

cnf(s83,plain,
    ( ~ spl0_54
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f579]) ).

cnf(s84,plain,
    ( ~ spl0_39
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f584]) ).

cnf(s85,plain,
    ( ~ spl0_52
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f589]) ).

cnf(s86,plain,
    ( ~ spl0_52
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f594]) ).

cnf(s87,plain,
    ( ~ spl0_49
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f599]) ).

cnf(s88,plain,
    ( ~ spl0_49
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f604]) ).

cnf(s91,plain,
    ( ~ spl0_63
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f619]) ).

cnf(s92,plain,
    ( ~ spl0_38
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f624]) ).

cnf(s93,plain,
    ( ~ spl0_38
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f629]) ).

cnf(s94,plain,
    ( ~ spl0_62
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f634]) ).

cnf(s95,plain,
    ( ~ spl0_62
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f639]) ).

cnf(s98,plain,
    ( ~ spl0_27
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f654]) ).

cnf(s101,plain,
    ( ~ spl0_30
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f669]) ).

cnf(s102,plain,
    ( ~ spl0_47
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f674]) ).

cnf(s103,plain,
    ( ~ spl0_47
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s104,plain,
    ( ~ spl0_47
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f684]) ).

cnf(s105,plain,
    ( ~ spl0_56
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f689]) ).

cnf(s106,plain,
    ( ~ spl0_26
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f694]) ).

cnf(s107,plain,
    ( ~ spl0_33
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f699]) ).

cnf(s108,plain,
    ( ~ spl0_33
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f704]) ).

cnf(s109,plain,
    ( ~ spl0_55
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f709]) ).

cnf(s110,plain,
    ( ~ spl0_53
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f714]) ).

cnf(s112,plain,
    ( ~ spl0_59
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f724]) ).

cnf(s113,plain,
    ( ~ spl0_22
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f729]) ).

cnf(s114,plain,
    ( ~ spl0_58
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f734]) ).

cnf(s117,plain,
    ( ~ spl0_50
    | spl0_114 ),
    inference(sat_conversion,[],[f749]) ).

cnf(s118,plain,
    ( ~ spl0_21
    | spl0_115 ),
    inference(sat_conversion,[],[f754]) ).

cnf(s119,plain,
    ( ~ spl0_28
    | spl0_116 ),
    inference(sat_conversion,[],[f759]) ).

cnf(s120,plain,
    ( ~ spl0_39
    | spl0_117 ),
    inference(sat_conversion,[],[f764]) ).

cnf(s121,plain,
    ( ~ spl0_39
    | spl0_118 ),
    inference(sat_conversion,[],[f769]) ).

cnf(s122,plain,
    ( ~ spl0_52
    | spl0_119 ),
    inference(sat_conversion,[],[f774]) ).

cnf(s123,plain,
    ( ~ spl0_49
    | spl0_120 ),
    inference(sat_conversion,[],[f779]) ).

cnf(s124,plain,
    ( ~ spl0_64
    | spl0_121 ),
    inference(sat_conversion,[],[f784]) ).

cnf(s125,plain,
    ( ~ spl0_64
    | spl0_122 ),
    inference(sat_conversion,[],[f789]) ).

cnf(s126,plain,
    ( ~ spl0_63
    | spl0_123 ),
    inference(sat_conversion,[],[f794]) ).

cnf(s127,plain,
    ( ~ spl0_38
    | spl0_124 ),
    inference(sat_conversion,[],[f799]) ).

cnf(s128,plain,
    ( ~ spl0_62
    | spl0_125 ),
    inference(sat_conversion,[],[f804]) ).

cnf(s130,plain,
    ( ~ spl0_27
    | spl0_127 ),
    inference(sat_conversion,[],[f814]) ).

cnf(s131,plain,
    ( ~ spl0_27
    | spl0_128 ),
    inference(sat_conversion,[],[f819]) ).

cnf(s133,plain,
    ( ~ spl0_30
    | spl0_130 ),
    inference(sat_conversion,[],[f829]) ).

cnf(s134,plain,
    ( ~ spl0_30
    | spl0_131 ),
    inference(sat_conversion,[],[f834]) ).

cnf(s135,plain,
    ( ~ spl0_56
    | spl0_132 ),
    inference(sat_conversion,[],[f839]) ).

cnf(s136,plain,
    ( ~ spl0_56
    | spl0_133 ),
    inference(sat_conversion,[],[f844]) ).

cnf(s137,plain,
    ( ~ spl0_26
    | spl0_134 ),
    inference(sat_conversion,[],[f849]) ).

cnf(s138,plain,
    ( ~ spl0_26
    | spl0_135 ),
    inference(sat_conversion,[],[f854]) ).

cnf(s139,plain,
    ( ~ spl0_33
    | spl0_136 ),
    inference(sat_conversion,[],[f859]) ).

cnf(s140,plain,
    ( ~ spl0_55
    | spl0_137 ),
    inference(sat_conversion,[],[f864]) ).

cnf(s141,plain,
    ( ~ spl0_55
    | spl0_138 ),
    inference(sat_conversion,[],[f869]) ).

cnf(s142,plain,
    ( ~ spl0_53
    | spl0_139 ),
    inference(sat_conversion,[],[f874]) ).

cnf(s143,plain,
    ( ~ spl0_53
    | spl0_140 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s144,plain,
    ( ~ spl0_32
    | spl0_141 ),
    inference(sat_conversion,[],[f884]) ).

cnf(s145,plain,
    ( ~ spl0_32
    | spl0_142 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s147,plain,
    ( ~ spl0_59
    | spl0_144 ),
    inference(sat_conversion,[],[f899]) ).

cnf(s148,plain,
    ( ~ spl0_22
    | spl0_145 ),
    inference(sat_conversion,[],[f904]) ).

cnf(s149,plain,
    ( ~ spl0_22
    | spl0_146 ),
    inference(sat_conversion,[],[f909]) ).

cnf(s150,plain,
    ( ~ spl0_58
    | spl0_147 ),
    inference(sat_conversion,[],[f914]) ).

cnf(s151,plain,
    ( ~ spl0_58
    | spl0_148 ),
    inference(sat_conversion,[],[f919]) ).

cnf(s153,plain,
    ( ~ spl0_24
    | spl0_150 ),
    inference(sat_conversion,[],[f929]) ).

cnf(s154,plain,
    ( ~ spl0_24
    | spl0_151 ),
    inference(sat_conversion,[],[f934]) ).

cnf(s155,plain,
    ( ~ spl0_24
    | spl0_152 ),
    inference(sat_conversion,[],[f939]) ).

cnf(s156,plain,
    ( ~ spl0_34
    | spl0_153 ),
    inference(sat_conversion,[],[f944]) ).

cnf(s157,plain,
    ( ~ spl0_34
    | spl0_154 ),
    inference(sat_conversion,[],[f949]) ).

cnf(s158,plain,
    ( ~ spl0_34
    | spl0_155 ),
    inference(sat_conversion,[],[f954]) ).

cnf(s159,plain,
    ( ~ spl0_41
    | spl0_156 ),
    inference(sat_conversion,[],[f959]) ).

cnf(s160,plain,
    ( ~ spl0_41
    | spl0_157 ),
    inference(sat_conversion,[],[f964]) ).

cnf(s161,plain,
    ( ~ spl0_41
    | spl0_158 ),
    inference(sat_conversion,[],[f969]) ).

cnf(s163,plain,
    ( ~ spl0_29
    | spl0_160 ),
    inference(sat_conversion,[],[f979]) ).

cnf(s164,plain,
    ( ~ spl0_29
    | spl0_161 ),
    inference(sat_conversion,[],[f984]) ).

cnf(s165,plain,
    ( spl0_38
    | spl0_54
    | spl0_56 ),
    inference(sat_conversion,[],[f985]) ).

cnf(s166,plain,
    ( spl0_38
    | spl0_49
    | spl0_53 ),
    inference(sat_conversion,[],[f986]) ).

cnf(s167,plain,
    ( spl0_33
    | spl0_56
    | spl0_64 ),
    inference(sat_conversion,[],[f987]) ).

cnf(s169,plain,
    ( spl0_27
    | spl0_49
    | spl0_52 ),
    inference(sat_conversion,[],[f989]) ).

cnf(s172,plain,
    ( spl0_39
    | spl0_49
    | spl0_56 ),
    inference(sat_conversion,[],[f992]) ).

cnf(s173,plain,
    ( spl0_39
    | spl0_50
    | spl0_55 ),
    inference(sat_conversion,[],[f993]) ).

cnf(s174,plain,
    ( spl0_22
    | spl0_56
    | spl0_62 ),
    inference(sat_conversion,[],[f994]) ).

cnf(s176,plain,
    ( spl0_32
    | spl0_41
    | spl0_47 ),
    inference(sat_conversion,[],[f996]) ).

cnf(s190,plain,
    ( spl0_3
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f1010]) ).

cnf(s195,plain,
    ( spl0_3
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f1015]) ).

cnf(s199,plain,
    ( spl0_3
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f1019]) ).

cnf(s200,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f1030]) ).

cnf(s211,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_61
    | spl0_84 ),
    inference(sat_conversion,[],[f1058]) ).

cnf(s227,plain,
    ( ~ spl0_5
    | ~ spl0_14
    | spl0_83
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f1109]) ).

cnf(s229,plain,
    ( ~ spl0_16
    | ~ spl0_23
    | spl0_102
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f1118]) ).

cnf(s250,plain,
    ( ~ spl0_5
    | ~ spl0_14
    | spl0_109
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1247]) ).

cnf(s253,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_141
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f1270]) ).

cnf(s256,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_160
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1276]) ).

cnf(s292,plain,
    ( ~ spl0_6
    | ~ spl0_12
    | ~ spl0_160
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1386]) ).

cnf(s309,plain,
    ( ~ spl0_8
    | ~ spl0_44
    | spl0_91
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1455]) ).

cnf(s314,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_14
    | spl0_76
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f1476]) ).

cnf(s343,plain,
    ( ~ spl0_8
    | ~ spl0_17
    | spl0_89
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1633]) ).

cnf(s344,plain,
    ( ~ spl0_8
    | ~ spl0_17
    | spl0_88
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f1634]) ).

cnf(s398,plain,
    ( ~ spl0_2
    | ~ spl0_15
    | ~ spl0_150
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1786]) ).

cnf(s423,plain,
    ( ~ spl0_11
    | ~ spl0_16
    | spl0_67
    | spl0_68 ),
    inference(sat_conversion,[],[f1895]) ).

cnf(s453,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | spl0_95
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f2004]) ).

cnf(s465,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | spl0_105
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f2094]) ).

cnf(s474,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_45
    | spl0_107
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f2170]) ).

cnf(s495,plain,
    ( ~ spl0_13
    | ~ spl0_31
    | spl0_82
    | spl0_83 ),
    inference(sat_conversion,[],[f2310]) ).

cnf(s511,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_57
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2366]) ).

cnf(s513,plain,
    ( ~ spl0_18
    | ~ spl0_45
    | spl0_104
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f2373]) ).

cnf(s528,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_23
    | spl0_102
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f2441]) ).

cnf(s560,plain,
    ( ~ spl0_11
    | ~ spl0_16
    | spl0_100
    | spl0_101 ),
    inference(sat_conversion,[],[f2516]) ).

cnf(s570,plain,
    ( ~ spl0_9
    | spl0_102
    | ~ spl0_133
    | spl0_162 ),
    inference(sat_conversion,[],[f2557]) ).

cnf(s594,plain,
    ( ~ spl0_2
    | ~ spl0_15
    | ~ spl0_133
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2663]) ).

cnf(s597,plain,
    ( ~ spl0_9
    | spl0_91
    | spl0_92
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f2672]) ).

cnf(s599,plain,
    ( ~ spl0_6
    | ~ spl0_12
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f2675]) ).

cnf(s608,plain,
    ( ~ spl0_15
    | ~ spl0_37
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f2721]) ).

cnf(s617,plain,
    ( ~ spl0_10
    | ~ spl0_153
    | ~ spl0_154
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2826]) ).

cnf(s619,plain,
    ( ~ spl0_11
    | ~ spl0_16
    | spl0_102
    | spl0_162 ),
    inference(sat_conversion,[],[f2830]) ).

cnf(s620,plain,
    ( ~ spl0_11
    | ~ spl0_16
    | spl0_89
    | spl0_90 ),
    inference(sat_conversion,[],[f2852]) ).

cnf(s622,plain,
    ( ~ spl0_9
    | ~ spl0_65
    | spl0_89
    | spl0_90 ),
    inference(sat_conversion,[],[f2878]) ).

cnf(s625,plain,
    ( ~ spl0_15
    | ~ spl0_132
    | ~ spl0_133
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2929]) ).

cnf(s627,plain,
    ( ~ spl0_15
    | ~ spl0_156
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f2933]) ).

cnf(s629,plain,
    ( ~ spl0_13
    | ~ spl0_35
    | spl0_99
    | spl0_101 ),
    inference(sat_conversion,[],[f2958]) ).

cnf(s635,plain,
    ( ~ spl0_1
    | ~ spl0_15
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f2969]) ).

cnf(s650,plain,
    ( ~ spl0_8
    | spl0_102
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f2987]) ).

cnf(s656,plain,
    ( ~ spl0_1
    | ~ spl0_15
    | ~ spl0_153
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f2997]) ).

cnf(s661,plain,
    ( ~ spl0_14
    | ~ spl0_65
    | spl0_66
    | spl0_67 ),
    inference(sat_conversion,[],[f3055]) ).

cnf(s666,plain,
    ( ~ spl0_4
    | ~ spl0_57
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f3076]) ).

cnf(s670,plain,
    ( ~ spl0_1
    | ~ spl0_15
    | ~ spl0_45
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f3095]) ).

cnf(s674,plain,
    ( ~ spl0_13
    | spl0_78
    | spl0_79
    | spl0_80 ),
    inference(sat_conversion,[],[f3134]) ).

cnf(s675,plain,
    ( ~ spl0_6
    | ~ spl0_13
    | spl0_104
    | spl0_105
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f3136]) ).

cnf(s676,plain,
    ( ~ spl0_11
    | ~ spl0_16
    | spl0_102
    | spl0_162 ),
    inference(sat_conversion,[],[f3140]) ).

cnf(s677,plain,
    ( ~ spl0_11
    | ~ spl0_16
    | spl0_91
    | spl0_92 ),
    inference(sat_conversion,[],[f3141]) ).

cnf(s689,plain,
    ( ~ spl0_1
    | ~ spl0_35
    | ~ spl0_139
    | spl0_164 ),
    inference(sat_conversion,[],[f3154]) ).

cnf(s692,plain,
    ( ~ spl0_6
    | spl0_107
    | ~ spl0_140
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f3158]) ).

cnf(s694,plain,
    ( ~ spl0_6
    | spl0_111
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f3171]) ).

cnf(s695,plain,
    ( ~ spl0_16
    | ~ spl0_25
    | spl0_90
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f3198]) ).

cnf(s698,plain,
    ( ~ spl0_16
    | ~ spl0_25
    | spl0_106
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f3204]) ).

cnf(s729,plain,
    ( ~ spl0_2
    | ~ spl0_31
    | spl0_76
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f3305]) ).

cnf(s733,plain,
    ( ~ spl0_2
    | ~ spl0_15
    | ~ spl0_57
    | ~ spl0_154
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f3324]) ).

cnf(s753,plain,
    ( ~ spl0_2
    | spl0_81
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f3424]) ).

cnf(s755,plain,
    ( ~ spl0_18
    | ~ spl0_40
    | spl0_84
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f3442]) ).

cnf(s774,plain,
    ( ~ spl0_7
    | spl0_84
    | spl0_85
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f3527]) ).

cnf(s775,plain,
    ( ~ spl0_4
    | ~ spl0_150
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f3544]) ).

cnf(s777,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_110
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f3551]) ).

cnf(s779,plain,
    ( ~ spl0_1
    | spl0_106
    | ~ spl0_137
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f3575]) ).

cnf(s783,plain,
    ( ~ spl0_13
    | ~ spl0_14
    | spl0_73
    | spl0_74
    | spl0_75 ),
    inference(sat_conversion,[],[f3671]) ).

cnf(s784,plain,
    ( ~ spl0_14
    | spl0_69
    | spl0_70
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f3673]) ).

cnf(s793,plain,
    ( ~ spl0_18
    | ~ spl0_45
    | spl0_71
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f3736]) ).

cnf(s797,plain,
    ( ~ spl0_18
    | ~ spl0_45
    | spl0_107
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f3741]) ).

cnf(s818,plain,
    ( ~ spl0_9
    | spl0_11
    | ~ spl0_13 ),
    inference(sat_conversion,[],[f3807]) ).

cnf(s819,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | spl0_25 ),
    inference(sat_conversion,[],[f3808]) ).

cnf(s821,plain,
    ( ~ spl0_11
    | spl0_99
    | spl0_100
    | spl0_101 ),
    inference(sat_conversion,[],[f3817]) ).

cnf(s830,plain,
    ( ~ spl0_13
    | ~ spl0_17
    | spl0_66
    | spl0_67
    | spl0_68 ),
    inference(sat_conversion,[],[f3868]) ).

cnf(s847,plain,
    ( ~ spl0_23
    | spl0_98
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f3967]) ).

cnf(s848,plain,
    ( ~ spl0_23
    | spl0_102
    | ~ spl0_132
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f3969]) ).

cnf(s849,plain,
    ( ~ spl0_25
    | spl0_103
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f3993]) ).

cnf(s851,plain,
    ( ~ spl0_40
    | spl0_95
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f4019]) ).

cnf(s852,plain,
    spl0_3,
    inference(rat,[],[s176,s190,s195,s199]) ).

cnf(s853,plain,
    ( ~ spl0_34
    | ~ spl0_10 ),
    inference(rat,[],[s617,s156,s157,s158]) ).

cnf(s854,plain,
    ( ~ spl0_33
    | ~ spl0_13
    | ~ spl0_6 ),
    inference(rat,[],[s675,s107,s108,s139]) ).

cnf(s855,plain,
    ( ~ spl0_29
    | ~ spl0_12
    | ~ spl0_6 ),
    inference(rat,[],[s292,s163,s164]) ).

cnf(s856,plain,
    ( ~ spl0_12
    | ~ spl0_6
    | spl0_5 ),
    inference(rat,[],[s599,s154,s155,s43,s855,s852]) ).

cnf(s857,plain,
    ( ~ spl0_50
    | ~ spl0_14 ),
    inference(rat,[],[s784,s72,s73,s117]) ).

cnf(s858,plain,
    ( ~ spl0_62
    | ~ spl0_9 ),
    inference(rat,[],[s597,s94,s95,s128]) ).

cnf(s859,plain,
    ( ~ spl0_48
    | ~ spl0_17
    | ~ spl0_13 ),
    inference(rat,[],[s830,s69,s70,s71]) ).

cnf(s860,plain,
    ( ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s775,s153,s154,s155]) ).

cnf(s861,plain,
    ( spl0_90
    | spl0_89
    | spl0_7
    | ~ spl0_11
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s9,s857,s859,s63,s68,s858,s622,s10,s7,s620,s860,s1,s852]) ).

cnf(s862,plain,
    ( ~ spl0_56
    | ~ spl0_8 ),
    inference(rat,[],[s650,s105,s135,s136]) ).

cnf(s863,plain,
    ( ~ spl0_64
    | ~ spl0_57
    | ~ spl0_4 ),
    inference(rat,[],[s666,s124,s125]) ).

cnf(s864,plain,
    ( ~ spl0_58
    | ~ spl0_6 ),
    inference(rat,[],[s694,s114,s150,s151]) ).

cnf(s865,plain,
    ( spl0_38
    | spl0_7
    | spl0_58
    | ~ spl0_4 ),
    inference(rat,[],[s344,s31,s91,s126,s513,s66,s107,s139,s674,s167,s81,s82,s83,s863,s165,s50,s862,s52,s27,s860,s852]) ).

cnf(s866,plain,
    ( spl0_7
    | spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s861,s92,s93,s865,s1,s5,s856,s864,s2,s852]) ).

cnf(s867,plain,
    ( ~ spl0_21
    | ~ spl0_45
    | ~ spl0_18 ),
    inference(rat,[],[s793,s74,s118]) ).

cnf(s870,plain,
    ( ~ spl0_54
    | ~ spl0_13 ),
    inference(rat,[],[s674,s81,s82,s83]) ).

cnf(s872,plain,
    ( ~ spl0_49
    | ~ spl0_7 ),
    inference(rat,[],[s774,s87,s88,s123]) ).

cnf(s873,plain,
    ( ~ spl0_41
    | ~ spl0_15 ),
    inference(rat,[],[s627,s159,s160,s161]) ).

cnf(s874,plain,
    ( spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s7,s619,s570,s625,s105,s135,s136,s57,s873,s857,s49,s15,s849,s106,s137,s138,s40,s872,s866,s5,s856,s2,s860,s1,s852]) ).

cnf(s875,plain,
    ( ~ spl0_32
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s253,s144,s145]) ).

cnf(s876,plain,
    ( ~ spl0_11
    | ~ spl0_13
    | spl0_89
    | spl0_90
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s528,s105,s135,s136,s50,s511,s158,s22,s32,s859,s495,s68,s85,s86,s622,s64,s7,s872,s620,s861,s860,s875,s874,s1,s852]) ).

cnf(s877,plain,
    ( ~ spl0_56
    | ~ spl0_23
    | ~ spl0_16 ),
    inference(rat,[],[s229,s105,s135]) ).

cnf(s878,plain,
    ( ~ spl0_33
    | ~ spl0_13
    | ~ spl0_5
    | spl0_24 ),
    inference(rat,[],[s26,s465,s854,s108,s139,s852]) ).

cnf(s879,plain,
    ( spl0_56
    | spl0_33
    | ~ spl0_4 ),
    inference(rat,[],[s863,s167,s50,s860,s852]) ).

cnf(s880,plain,
    ( ~ spl0_13
    | spl0_89
    | spl0_90
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s853,s24,s4,s862,s879,s878,s629,s102,s104,s176,s873,s8,s818,s876,s860,s875,s874,s1,s852]) ).

cnf(s881,plain,
    ( ~ spl0_29
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s256,s163,s164]) ).

cnf(s882,plain,
    ( spl0_89
    | spl0_90
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s570,s4,s625,s862,s105,s135,s136,s57,s873,s6,s853,s36,s620,s10,s880,s857,s38,s881,s874,s1,s852]) ).

cnf(s883,plain,
    ( ~ spl0_13
    | spl0_38
    | ~ spl0_5 ),
    inference(rat,[],[s859,s37,s31,s474,s110,s143,s166,s872,s27,s862,s165,s870,s852]) ).

cnf(s884,plain,
    ( spl0_13
    | spl0_14
    | spl0_32
    | spl0_2 ),
    inference(rat,[],[s4,s853,s570,s36,s625,s560,s862,s105,s135,s136,s103,s104,s57,s176,s873,s6,s10,s852]) ).

cnf(s885,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s882,s92,s93,s883,s884,s857,s38,s881,s875,s874,s1,s852]) ).

cnf(s886,plain,
    ( ~ spl0_39
    | ~ spl0_2 ),
    inference(rat,[],[s753,s84,s120,s121]) ).

cnf(s887,plain,
    ( ~ spl0_27
    | ~ spl0_40 ),
    inference(rat,[],[s851,s98,s130,s131]) ).

cnf(s888,plain,
    ( ~ spl0_47
    | ~ spl0_11 ),
    inference(rat,[],[s821,s102,s103,s104]) ).

cnf(s889,plain,
    ( ~ spl0_11
    | spl0_5
    | spl0_90
    | spl0_89
    | spl0_54
    | spl0_39 ),
    inference(rat,[],[s343,s54,s127,s888,s165,s862,s17,s887,s28,s620,s852]) ).

cnf(s890,plain,
    ( spl0_5
    | spl0_90
    | spl0_89
    | ~ spl0_13
    | spl0_1 ),
    inference(rat,[],[s862,s57,s4,s783,s853,s76,s77,s78,s46,s34,s847,s608,s101,s133,s134,s21,s729,s79,s119,s873,s65,s8,s856,s818,s5,s889,s886,s885,s870,s852]) ).

cnf(s891,plain,
    ( ~ spl0_11
    | spl0_90
    | spl0_89
    | ~ spl0_13
    | spl0_1 ),
    inference(rat,[],[s848,s570,s105,s135,s136,s172,s872,s3,s860,s45,s68,s859,s343,s54,s887,s622,s28,s7,s888,s620,s886,s885,s870,s127,s883,s890,s852]) ).

cnf(s892,plain,
    ( spl0_90
    | spl0_89
    | ~ spl0_13
    | spl0_1 ),
    inference(rat,[],[s853,s46,s4,s877,s862,s57,s200,s119,s873,s65,s8,s7,s818,s891,s890,s885,s870,s852]) ).

cnf(s893,plain,
    ( spl0_38
    | ~ spl0_13
    | spl0_39 ),
    inference(rat,[],[s818,s423,s4,s70,s71,s853,s45,s46,s877,s28,s887,s17,s862,s165,s883,s870,s852]) ).

cnf(s894,plain,
    ( ~ spl0_13
    | spl0_1 ),
    inference(rat,[],[s892,s92,s93,s893,s886,s885]) ).

cnf(s896,plain,
    ( ~ spl0_14
    | ~ spl0_5
    | spl0_62
    | spl0_16 ),
    inference(rat,[],[s227,s86,s122,s64,s872,s63,s857,s852]) ).

cnf(s898,plain,
    ( spl0_16
    | spl0_5
    | spl0_1 ),
    inference(rat,[],[s777,s113,s148,s149,s174,s862,s17,s887,s858,s28,s7,s886,s885,s852]) ).

cnf(s899,plain,
    ( spl0_50
    | spl0_62
    | ~ spl0_16
    | spl0_39 ),
    inference(rat,[],[s698,s49,s109,s140,s872,s173,s63,s852]) ).

cnf(s900,plain,
    ( ~ spl0_9
    | ~ spl0_16
    | spl0_1 ),
    inference(rat,[],[s570,s594,s105,s136,s57,s873,s6,s857,s899,s858,s886,s885,s894,s852]) ).

cnf(s901,plain,
    ( spl0_9
    | spl0_10
    | ~ spl0_154
    | ~ spl0_155
    | spl0_11
    | ~ spl0_2 ),
    inference(rat,[],[s398,s153,s155,s50,s862,s733,s4,s8,s852]) ).

cnf(s902,plain,
    ( ~ spl0_9
    | spl0_1 ),
    inference(rat,[],[s570,s594,s105,s136,s57,s873,s6,s896,s898,s900,s858,s885,s894,s852]) ).

cnf(s903,plain,
    ( spl0_11
    | spl0_1 ),
    inference(rat,[],[s901,s853,s157,s158,s36,s885,s894,s902,s852]) ).

cnf(s904,plain,
    spl0_1,
    inference(rat,[],[s872,s3,s49,s860,s857,s15,s6,s594,s676,s862,s105,s136,s48,s698,s109,s140,s47,s888,s903,s7,s902,s894,s885,s852]) ).

cnf(s905,plain,
    ( ~ spl0_7
    | spl0_5 ),
    inference(rat,[],[s849,s106,s137,s138,s40,s872,s819,s852,s904]) ).

cnf(s906,plain,
    ( ~ spl0_9
    | spl0_5
    | ~ spl0_13 ),
    inference(rat,[],[s45,s859,s847,s9,s101,s133,s134,s857,s41,s63,s888,s858,s818,s870,s905,s852]) ).

cnf(s907,plain,
    ( ~ spl0_48
    | ~ spl0_18
    | spl0_7
    | ~ spl0_13 ),
    inference(rat,[],[s67,s661,s857,s867,s9,s31,s859,s69,s70,s852]) ).

cnf(s908,plain,
    ( ~ spl0_30
    | ~ spl0_23 ),
    inference(rat,[],[s847,s101,s133,s134]) ).

cnf(s909,plain,
    ( ~ spl0_56
    | ~ spl0_15 ),
    inference(rat,[],[s635,s135,s136,s904]) ).

cnf(s910,plain,
    ( ~ spl0_15
    | spl0_7
    | spl0_33
    | spl0_54 ),
    inference(rat,[],[s343,s92,s31,s670,s124,s125,s3,s127,s167,s879,s165,s909,s852,s904]) ).

cnf(s911,plain,
    ( spl0_5
    | ~ spl0_13
    | spl0_2 ),
    inference(rat,[],[s11,s423,s907,s70,s71,s45,s908,s41,s888,s8,s910,s906,s905,s854,s2,s870,s852]) ).

cnf(s912,plain,
    ( spl0_17
    | spl0_14
    | spl0_47
    | ~ spl0_5 ),
    inference(rat,[],[s453,s98,s131,s9,s54,s852]) ).

cnf(s913,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(rat,[],[s37,s474,s872,s110,s143,s3,s55,s860,s908,s68,s45,s343,s859,s912,s896,s622,s858,s870,s127,s888,s620,s92,s93,s883,s852]) ).

cnf(s914,plain,
    ( spl0_14
    | ~ spl0_11
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(rat,[],[s860,s3,s26,s872,s37,s692,s797,s689,s110,s142,s143,s24,s55,s853,s908,s4,s45,s343,s859,s912,s870,s127,s888,s11,s913,s620,s92,s93,s883,s852,s904]) ).

cnf(s915,plain,
    ( ~ spl0_52
    | ~ spl0_14
    | ~ spl0_5 ),
    inference(rat,[],[s227,s86,s122]) ).

cnf(s916,plain,
    ( ~ spl0_11
    | ~ spl0_13
    | spl0_2 ),
    inference(rat,[],[s250,s112,s147,s53,s309,s862,s3,s872,s64,s915,s881,s94,s128,s38,s896,s857,s914,s620,s93,s92,s883,s911,s852]) ).

cnf(s917,plain,
    ( ~ spl0_13
    | spl0_2 ),
    inference(rat,[],[s695,s49,s64,s87,s211,s61,s915,s857,s57,s909,s873,s8,s818,s916,s93,s127,s883,s911,s852]) ).

cnf(s918,plain,
    ( spl0_14
    | spl0_13 ),
    inference(rat,[],[s57,s909,s873,s6,s852]) ).

cnf(s919,plain,
    ( ~ spl0_62
    | spl0_2 ),
    inference(rat,[],[s656,s156,s157,s8,s36,s677,s858,s94,s95,s10,s917,s904,s852]) ).

cnf(s920,plain,
    spl0_2,
    inference(rat,[],[s453,s98,s131,s169,s915,s905,s872,s63,s919,s857,s918,s917,s852]) ).

cnf(s921,plain,
    ~ spl0_39,
    inference(rat,[],[s886,s920]) ).

cnf(s922,plain,
    ( spl0_5
    | ~ spl0_13 ),
    inference(rat,[],[s398,s153,s155,s26,s854,s910,s8,s889,s906,s905,s870,s93,s92,s893,s920,s852,s921]) ).

cnf(s923,plain,
    ( ~ spl0_11
    | ~ spl0_13 ),
    inference(rat,[],[s755,s87,s123,s28,s64,s11,s915,s620,s914,s913,s93,s92,s893,s922,s921,s852]) ).

cnf(s924,plain,
    ~ spl0_13,
    inference(rat,[],[s314,s57,s79,s119,s909,s873,s65,s8,s818,s923,s922,s870,s920,s852]) ).

cnf(s925,plain,
    spl0_14,
    inference(rat,[],[s918,s924]) ).

cnf(s926,plain,
    ~ spl0_50,
    inference(rat,[],[s857,s925]) ).

cnf(s927,plain,
    spl0_55,
    inference(rat,[],[s173,s921,s926]) ).

cnf(s928,plain,
    spl0_138,
    inference(rat,[],[s141,s927]) ).

cnf(s929,plain,
    spl0_137,
    inference(rat,[],[s140,s927]) ).

cnf(s930,plain,
    ~ spl0_106,
    inference(rat,[],[s109,s927]) ).

cnf(s932,plain,
    $false,
    inference(rat,[],[s779,s928,s904,s929,s930]) ).

fof(f4020,plain,
    $false,
    inference(avatar_sat_refutation,[],[s932]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN508-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20  % Computer : n018.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 16:22:40 UTC 2026
% 0.09/0.21  % CPUTime  : 
% 0.09/0.21  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24  Running first-order model finding
% 0.09/0.24  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.31  % (3517209)Will run a generic schedule for satisfiability detection.
% 0.20/0.31  % (3517218)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2198763706:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.31  % (3517215)% WARNING: option uhcvi not known.
% 0.20/0.31  % (3517215)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3338266639:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.31  % (3517219)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2868916565:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.31  % (3517214)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=460726260_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.31  % (3517216)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3024205809:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.31  % (3517217)dis+10_1_sil=32000:sp=arity:random_seed=146638695:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.31  % (3517220)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=225255040:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.31  % Detected minimum model sizes of [1]
% 0.20/0.31  % Detected maximum model sizes of [32]
% 0.20/0.31  % TRYING [1]
% 0.20/0.31  % TRYING [2]
% 0.20/0.31  % TRYING [3]
% 0.20/0.31  % TRYING [4]
% 0.20/0.31  % (3517218) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3517209-3517218"...
% 0.20/0.31  % (3517218)...printing done.
% 0.20/0.31  % (3517220) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3517209-3517220"...
% 0.20/0.31  % (3517218)Refutation found. Thanks to Tanya!
% 0.20/0.31  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.31  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.33  % (3517218)------------------------------
% 0.20/0.33  % (3517218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33  % (3517218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33  % (3517218)CaDiCaL version: 2.1.3
% 0.20/0.33  % (3517218)Termination reason: Refutation
% 0.20/0.33  % (3517218)Time elapsed: 0.032 s
% 0.20/0.33  % (3517218)Peak memory usage: 13 MB
% 0.20/0.33  % (3517218)Instructions burned: 89 (million)
% 0.20/0.33  % (3517209)Success in time 0.063 s
% 0.20/0.33  % Vampire exiting
%------------------------------------------------------------------------------