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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN472-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:54:08 PM UTC 2026

% Result   : Unsatisfiable 1.89s 0.72s
% Output   : Refutation 2.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   45
%            Number of leaves      :  283
% Syntax   : Number of formulae    :  943 (  35 unt; 154 def)
%            Number of atoms       : 2886 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3396 (1453   ~;1789   |;   0   &)
%                                         ( 154 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  188 ( 187 usr; 184 prp; 0-1 aty)
%            Number of functors    :   28 (  28 usr;  28 con; 0-0 aty)
%            Number of variables   :  140 (   0 sgn 140   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( ~ hskp30
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f11,negated_conjecture,
    ( ~ hskp20
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).

fof(f30,negated_conjecture,
    ( ~ hskp1
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).

fof(f33,negated_conjecture,
    ( hskp28
    | hskp25
    | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f34,negated_conjecture,
    ( hskp14
    | hskp7
    | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f35,negated_conjecture,
    ( hskp29
    | hskp7
    | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f36,negated_conjecture,
    ( hskp11
    | hskp23
    | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f37,negated_conjecture,
    ( hskp23
    | hskp18
    | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ( hskp13
    | hskp20
    | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ( ~ hskp30
    | c1_1(a733) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ( ~ hskp30
    | c2_1(a733) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( ~ hskp30
    | c3_1(a733) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( ~ hskp29
    | c0_1(a713) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp29
    | c2_1(a713) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp29
    | c3_1(a713) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp28
    | c0_1(a695) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp28
    | c1_1(a695) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp28
    | c2_1(a695) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp27
    | c0_1(a691) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f51,negated_conjecture,
    ( ~ hskp27
    | c3_1(a691) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp26
    | c3_1(a777) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( ~ hskp25
    | c1_1(a773) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( ~ hskp25
    | c2_1(a773) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f56,negated_conjecture,
    ( ~ hskp23
    | c0_1(a763) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( ~ hskp22
    | c1_1(a761) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( ~ hskp21
    | c1_1(a760) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp21
    | c3_1(a760) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp20
    | c2_1(a754) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp19
    | c0_1(a752) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp18
    | c0_1(a751) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp16
    | c2_1(a738) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp16
    | c3_1(a738) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( ~ hskp15
    | c3_1(a734) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( ~ hskp14
    | c0_1(a730) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( ~ hskp14
    | c1_1(a730) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp13
    | c1_1(a726) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp11
    | c0_1(a722) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp11
    | c3_1(a722) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp10
    | c1_1(a717) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp10
    | c3_1(a717) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp8
    | c2_1(a710) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp8
    | c3_1(a710) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp7
    | c1_1(a708) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp7
    | c2_1(a708) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp6
    | c0_1(a702) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp6
    | c3_1(a702) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp5
    | c0_1(a701) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp5
    | c2_1(a701) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp3
    | c0_1(a697) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp3
    | c2_1(a697) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ hskp2
    | c0_1(a696) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ hskp2
    | c1_1(a696) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ hskp1
    | c2_1(a693) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( ~ hskp0
    | c2_1(a692) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f88,negated_conjecture,
    ( ~ c1_1(a777)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ c0_1(a773)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f92,negated_conjecture,
    ( ~ c1_1(a763)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ c2_1(a763)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ c0_1(a761)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ c2_1(a761)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ c0_1(a760)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ c0_1(a754)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ c3_1(a754)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c2_1(a752)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c3_1(a752)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ c1_1(a751)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ c3_1(a751)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f106,negated_conjecture,
    ( ~ c1_1(a738)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c1_1(a734)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c2_1(a734)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ c3_1(a730)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c0_1(a726)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ c3_1(a726)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ c0_1(a725)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ c1_1(a725)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c3_1(a725)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c1_1(a722)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c2_1(a717)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f120,negated_conjecture,
    ( ~ c0_1(a710)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c3_1(a708)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c2_1(a702)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ c1_1(a701)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ c0_1(a698)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ c2_1(a698)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ c3_1(a698)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ c3_1(a697)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ c2_1(a696)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ c1_1(a693)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ c3_1(a693)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ( ~ c0_1(a692)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( ~ c1_1(a692)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f134,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp27
      | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f135,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp2
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

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

fof(f140,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp3
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f141,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp14
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp14
      | hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp15
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f146,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp7
      | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp18
      | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f151,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp16
      | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f152,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp21
      | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f157,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f159,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f162,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f163,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f165,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f167,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f168,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

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

fof(f171,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f172,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f178,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f180,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

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

fof(f186,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c2_1(X1)
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

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

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

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

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

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

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

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

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

fof(f198,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f199,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f198]) ).

fof(f201,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f202,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f201]) ).

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

fof(f207,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f208,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f207]) ).

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

fof(f211,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f212,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | ~ c2_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f214,definition,
    ( spl0_6
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f215,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f216,plain,
    ( spl0_5
    | spl0_2
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f195,f214,f204,f201,f211]) ).

fof(f218,definition,
    ( spl0_7
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f219,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f221,definition,
    ( spl0_8
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f222,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f223,plain,
    ( spl0_7
    | spl0_4
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f194,f221,f204,f207,f218]) ).

fof(f225,definition,
    ( spl0_9
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f226,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f228,definition,
    ( spl0_10
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f229,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f230,plain,
    ( spl0_9
    | spl0_4
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f193,f228,f204,f207,f225]) ).

fof(f232,definition,
    ( spl0_11
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f233,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f235,definition,
    ( spl0_12
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f236,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f238,definition,
    ( spl0_13
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f239,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f240,plain,
    ( spl0_11
    | spl0_12
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f192,f238,f204,f235,f232]) ).

fof(f242,definition,
    ( spl0_14
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f243,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f245,definition,
    ( spl0_15
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f246,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f247,plain,
    ( spl0_14
    | spl0_15
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f191,f221,f204,f245,f242]) ).

fof(f249,definition,
    ( spl0_16
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f250,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f252,definition,
    ( spl0_17
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f253,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f254,plain,
    ( spl0_12
    | spl0_16
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f190,f252,f204,f249,f235]) ).

fof(f256,definition,
    ( spl0_18
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f257,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f259,definition,
    ( spl0_19
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f260,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f261,plain,
    ( spl0_18
    | spl0_1
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f189,f259,f204,f198,f256]) ).

fof(f263,definition,
    ( spl0_20
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f267,definition,
    ( spl0_21
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

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

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

fof(f273,definition,
    ( spl0_23
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f274,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f277,definition,
    ( spl0_24
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f279,plain,
    ( spl0_24
    | spl0_13
    | ~ spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f186,f273,f204,f238,f277]) ).

fof(f281,definition,
    ( spl0_25
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f288,definition,
    ( spl0_27
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f289,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f290,plain,
    ( spl0_9
    | spl0_27
    | spl0_7
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f184,f204,f218,f288,f225]) ).

fof(f295,definition,
    ( spl0_29
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f296,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f299,definition,
    ( spl0_30
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f301,plain,
    ( spl0_30
    | spl0_6
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f182,f228,f204,f214,f299]) ).

fof(f303,definition,
    ( spl0_31
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f310,definition,
    ( spl0_33
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f312,plain,
    ( spl0_33
    | spl0_19
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f180,f228,f204,f259,f310]) ).

fof(f314,definition,
    ( spl0_34
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f317,definition,
    ( spl0_35
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f318,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f320,definition,
    ( spl0_36
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f321,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f320]) ).

fof(f322,plain,
    ( spl0_34
    | spl0_35
    | ~ spl0_3
    | spl0_36 ),
    inference(avatar_split_clause,[],[f179,f320,f204,f317,f314]) ).

fof(f323,plain,
    ( spl0_25
    | spl0_12
    | ~ spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f178,f273,f204,f235,f281]) ).

fof(f327,definition,
    ( spl0_37
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f331,definition,
    ( spl0_38
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f333,plain,
    ( spl0_38
    | spl0_16
    | ~ spl0_3
    | spl0_36 ),
    inference(avatar_split_clause,[],[f174,f320,f204,f249,f331]) ).

fof(f335,definition,
    ( spl0_39
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f339,definition,
    ( spl0_40
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f342,definition,
    ( spl0_41
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f343,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f344,plain,
    ( spl0_40
    | spl0_41
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f172,f249,f204,f342,f339]) ).

fof(f346,definition,
    ( spl0_42
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f348,plain,
    ( spl0_42
    | spl0_12
    | ~ spl0_3
    | spl0_41 ),
    inference(avatar_split_clause,[],[f171,f342,f204,f235,f346]) ).

fof(f350,definition,
    ( spl0_43
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f352,plain,
    ( spl0_43
    | spl0_7
    | ~ spl0_3
    | spl0_35 ),
    inference(avatar_split_clause,[],[f170,f317,f204,f218,f350]) ).

fof(f354,definition,
    ( spl0_44
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f356,plain,
    ( spl0_44
    | spl0_14
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f169,f201,f204,f242,f354]) ).

fof(f357,plain,
    ( spl0_24
    | spl0_19
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f168,f252,f204,f259,f277]) ).

fof(f359,definition,
    ( spl0_45
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f361,plain,
    ( spl0_45
    | spl0_1
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f167,f245,f204,f198,f359]) ).

fof(f364,definition,
    ( spl0_46
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f366,plain,
    ( spl0_46
    | spl0_12
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f165,f214,f204,f235,f364]) ).

fof(f368,plain,
    ( spl0_43
    | spl0_7
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f163,f198,f204,f218,f350]) ).

fof(f369,plain,
    ( spl0_37
    | spl0_9
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f162,f238,f204,f225,f327]) ).

fof(f375,plain,
    ( spl0_24
    | spl0_14
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f159,f249,f204,f242,f277]) ).

fof(f377,definition,
    ( spl0_48
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f380,plain,
    ( spl0_46
    | spl0_9
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f157,f232,f204,f225,f364]) ).

fof(f387,definition,
    ( spl0_50
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f394,definition,
    ( spl0_52
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f401,definition,
    ( spl0_54
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f404,definition,
    ( spl0_55
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f406,plain,
    ( spl0_54
    | spl0_55
    | ~ spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f152,f270,f204,f404,f401]) ).

fof(f408,definition,
    ( spl0_56
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f410,plain,
    ( spl0_56
    | spl0_31
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f151,f207,f204,f303,f408]) ).

fof(f412,definition,
    ( spl0_57
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f417,definition,
    ( spl0_58
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f419,plain,
    ( spl0_58
    | spl0_50
    | ~ spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f148,f295,f204,f387,f417]) ).

fof(f421,definition,
    ( spl0_59
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f424,plain,
    ( spl0_45
    | spl0_57
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f146,f201,f204,f412,f359]) ).

fof(f427,plain,
    ( spl0_38
    | spl0_56
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f143,f245,f204,f408,f331]) ).

fof(f428,plain,
    ( spl0_30
    | spl0_33
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f142,f245,f204,f310,f299]) ).

fof(f429,plain,
    ( spl0_21
    | spl0_33
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f141,f245,f204,f310,f267]) ).

fof(f430,plain,
    ( spl0_59
    | spl0_21
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f140,f198,f204,f267,f421]) ).

fof(f432,plain,
    ( spl0_40
    | spl0_21
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f138,f242,f204,f267,f339]) ).

fof(f438,plain,
    ( spl0_57
    | spl0_44
    | spl0_9
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f135,f204,f225,f354,f412]) ).

fof(f439,plain,
    ( spl0_46
    | spl0_48
    | spl0_9
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f134,f204,f225,f377,f364]) ).

fof(f443,definition,
    ( spl0_61
  <=> c1_1(a692) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f444,plain,
    ( ~ c1_1(a692)
    | spl0_61 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f445,plain,
    ( ~ spl0_37
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f132,f443,f327]) ).

fof(f447,definition,
    ( spl0_62
  <=> c0_1(a692) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f448,plain,
    ( ~ c0_1(a692)
    | spl0_62 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f449,plain,
    ( ~ spl0_37
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f131,f447,f327]) ).

fof(f452,definition,
    ( spl0_63
  <=> c3_1(a693) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f454,plain,
    ( ~ spl0_59
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f130,f452,f421]) ).

fof(f456,definition,
    ( spl0_64
  <=> c1_1(a693) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f457,plain,
    ( ~ c1_1(a693)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f458,plain,
    ( ~ spl0_59
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f129,f456,f421]) ).

fof(f461,definition,
    ( spl0_65
  <=> c2_1(a696) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f463,plain,
    ( ~ spl0_44
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f128,f461,f354]) ).

fof(f466,definition,
    ( spl0_66
  <=> c3_1(a697) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f468,plain,
    ( ~ spl0_21
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f127,f466,f267]) ).

fof(f471,definition,
    ( spl0_67
  <=> c3_1(a698) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f473,plain,
    ( ~ spl0_40
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f126,f471,f339]) ).

fof(f475,definition,
    ( spl0_68
  <=> c2_1(a698) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f477,plain,
    ( ~ spl0_40
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f125,f475,f339]) ).

fof(f479,definition,
    ( spl0_69
  <=> c0_1(a698) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f480,plain,
    ( ~ c0_1(a698)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f481,plain,
    ( ~ spl0_40
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f124,f479,f339]) ).

fof(f484,definition,
    ( spl0_70
  <=> c1_1(a701) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f485,plain,
    ( ~ c1_1(a701)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f486,plain,
    ( ~ spl0_34
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f123,f484,f314]) ).

fof(f489,definition,
    ( spl0_71
  <=> c2_1(a702) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f491,plain,
    ( ~ spl0_46
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f122,f489,f364]) ).

fof(f494,definition,
    ( spl0_72
  <=> c3_1(a708) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f496,plain,
    ( ~ spl0_57
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f121,f494,f412]) ).

fof(f499,definition,
    ( spl0_73
  <=> c0_1(a710) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f500,plain,
    ( ~ c0_1(a710)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f501,plain,
    ( ~ spl0_25
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f120,f499,f281]) ).

fof(f517,definition,
    ( spl0_77
  <=> c2_1(a717) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f519,plain,
    ( ~ spl0_42
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f116,f517,f346]) ).

fof(f522,definition,
    ( spl0_78
  <=> c1_1(a722) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f523,plain,
    ( ~ c1_1(a722)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f524,plain,
    ( ~ spl0_39
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f115,f522,f335]) ).

fof(f527,definition,
    ( spl0_79
  <=> c3_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f529,plain,
    ( ~ spl0_38
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f114,f527,f331]) ).

fof(f531,definition,
    ( spl0_80
  <=> c1_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f532,plain,
    ( ~ c1_1(a725)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f533,plain,
    ( ~ spl0_38
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f113,f531,f331]) ).

fof(f535,definition,
    ( spl0_81
  <=> c0_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f536,plain,
    ( ~ c0_1(a725)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f537,plain,
    ( ~ spl0_38
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f112,f535,f331]) ).

fof(f540,definition,
    ( spl0_82
  <=> c3_1(a726) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f542,plain,
    ( ~ spl0_45
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f111,f540,f359]) ).

fof(f544,definition,
    ( spl0_83
  <=> c0_1(a726) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f545,plain,
    ( ~ c0_1(a726)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f546,plain,
    ( ~ spl0_45
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f110,f544,f359]) ).

fof(f549,definition,
    ( spl0_84
  <=> c3_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f551,plain,
    ( ~ spl0_33
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f109,f549,f310]) ).

fof(f554,definition,
    ( spl0_85
  <=> c2_1(a734) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f556,plain,
    ( ~ spl0_56
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f108,f554,f408]) ).

fof(f558,definition,
    ( spl0_86
  <=> c1_1(a734) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f559,plain,
    ( ~ c1_1(a734)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f560,plain,
    ( ~ spl0_56
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f107,f558,f408]) ).

fof(f563,definition,
    ( spl0_87
  <=> c1_1(a738) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f564,plain,
    ( ~ c1_1(a738)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f565,plain,
    ( ~ spl0_31
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f106,f563,f303]) ).

fof(f581,definition,
    ( spl0_91
  <=> c3_1(a751) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f583,plain,
    ( ~ spl0_50
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f102,f581,f387]) ).

fof(f585,definition,
    ( spl0_92
  <=> c1_1(a751) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f586,plain,
    ( ~ c1_1(a751)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f587,plain,
    ( ~ spl0_50
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f101,f585,f387]) ).

fof(f590,definition,
    ( spl0_93
  <=> c3_1(a752) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f592,plain,
    ( ~ spl0_58
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f100,f590,f417]) ).

fof(f594,definition,
    ( spl0_94
  <=> c2_1(a752) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f596,plain,
    ( ~ spl0_58
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f99,f594,f417]) ).

fof(f599,definition,
    ( spl0_95
  <=> c3_1(a754) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f601,plain,
    ( ~ spl0_20
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f98,f599,f263]) ).

fof(f603,definition,
    ( spl0_96
  <=> c0_1(a754) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f604,plain,
    ( ~ c0_1(a754)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f603]) ).

fof(f605,plain,
    ( ~ spl0_20
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f97,f603,f263]) ).

fof(f608,definition,
    ( spl0_97
  <=> c0_1(a760) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f609,plain,
    ( ~ c0_1(a760)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f608]) ).

fof(f610,plain,
    ( ~ spl0_55
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f96,f608,f404]) ).

fof(f613,definition,
    ( spl0_98
  <=> c2_1(a761) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f615,plain,
    ( ~ spl0_54
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f95,f613,f401]) ).

fof(f617,definition,
    ( spl0_99
  <=> c0_1(a761) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f619,plain,
    ( ~ spl0_54
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f94,f617,f401]) ).

fof(f622,definition,
    ( spl0_100
  <=> c2_1(a763) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f624,plain,
    ( ~ spl0_52
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f93,f622,f394]) ).

fof(f626,definition,
    ( spl0_101
  <=> c1_1(a763) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f627,plain,
    ( ~ c1_1(a763)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f628,plain,
    ( ~ spl0_52
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f92,f626,f394]) ).

fof(f639,definition,
    ( spl0_104
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f642,definition,
    ( spl0_105
  <=> c0_1(a773) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f644,plain,
    ( ~ spl0_104
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f89,f642,f639]) ).

fof(f646,definition,
    ( spl0_106
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f649,definition,
    ( spl0_107
  <=> c1_1(a777) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f650,plain,
    ( ~ c1_1(a777)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f651,plain,
    ( ~ spl0_106
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f88,f649,f646]) ).

fof(f657,definition,
    ( spl0_109
  <=> c2_1(a692) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f659,plain,
    ( spl0_109
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f86,f327,f657]) ).

fof(f661,definition,
    ( spl0_110
  <=> c2_1(a693) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f663,plain,
    ( spl0_110
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f85,f421,f661]) ).

fof(f665,definition,
    ( spl0_111
  <=> c1_1(a696) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f666,plain,
    ( c1_1(a696)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f667,plain,
    ( spl0_111
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f84,f354,f665]) ).

fof(f669,definition,
    ( spl0_112
  <=> c0_1(a696) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f670,plain,
    ( c0_1(a696)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f671,plain,
    ( spl0_112
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f83,f354,f669]) ).

fof(f673,definition,
    ( spl0_113
  <=> c2_1(a697) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f675,plain,
    ( spl0_113
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f82,f267,f673]) ).

fof(f677,definition,
    ( spl0_114
  <=> c0_1(a697) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f678,plain,
    ( c0_1(a697)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f679,plain,
    ( spl0_114
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f81,f267,f677]) ).

fof(f681,definition,
    ( spl0_115
  <=> c2_1(a701) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f683,plain,
    ( spl0_115
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f80,f314,f681]) ).

fof(f685,definition,
    ( spl0_116
  <=> c0_1(a701) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f686,plain,
    ( c0_1(a701)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f687,plain,
    ( spl0_116
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f79,f314,f685]) ).

fof(f689,definition,
    ( spl0_117
  <=> c3_1(a702) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f691,plain,
    ( spl0_117
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f78,f364,f689]) ).

fof(f693,definition,
    ( spl0_118
  <=> c0_1(a702) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f694,plain,
    ( c0_1(a702)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f695,plain,
    ( spl0_118
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f77,f364,f693]) ).

fof(f697,definition,
    ( spl0_119
  <=> c2_1(a708) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f699,plain,
    ( spl0_119
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f76,f412,f697]) ).

fof(f701,definition,
    ( spl0_120
  <=> c1_1(a708) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f702,plain,
    ( c1_1(a708)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f703,plain,
    ( spl0_120
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f75,f412,f701]) ).

fof(f705,definition,
    ( spl0_121
  <=> c3_1(a710) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f707,plain,
    ( spl0_121
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f74,f281,f705]) ).

fof(f709,definition,
    ( spl0_122
  <=> c2_1(a710) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f711,plain,
    ( spl0_122
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f73,f281,f709]) ).

fof(f713,definition,
    ( spl0_123
  <=> c3_1(a717) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f715,plain,
    ( spl0_123
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f72,f346,f713]) ).

fof(f717,definition,
    ( spl0_124
  <=> c1_1(a717) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f718,plain,
    ( c1_1(a717)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f719,plain,
    ( spl0_124
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f71,f346,f717]) ).

fof(f721,definition,
    ( spl0_125
  <=> c3_1(a722) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f723,plain,
    ( spl0_125
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f70,f335,f721]) ).

fof(f725,definition,
    ( spl0_126
  <=> c0_1(a722) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f726,plain,
    ( c0_1(a722)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f727,plain,
    ( spl0_126
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f69,f335,f725]) ).

fof(f729,definition,
    ( spl0_127
  <=> c1_1(a726) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f730,plain,
    ( c1_1(a726)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f729]) ).

fof(f731,plain,
    ( spl0_127
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f68,f359,f729]) ).

fof(f733,definition,
    ( spl0_128
  <=> c1_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f734,plain,
    ( c1_1(a730)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f735,plain,
    ( spl0_128
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f67,f310,f733]) ).

fof(f737,definition,
    ( spl0_129
  <=> c0_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f738,plain,
    ( c0_1(a730)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f739,plain,
    ( spl0_129
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f66,f310,f737]) ).

fof(f741,definition,
    ( spl0_130
  <=> c3_1(a734) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f743,plain,
    ( spl0_130
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f65,f408,f741]) ).

fof(f745,definition,
    ( spl0_131
  <=> c3_1(a738) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f747,plain,
    ( spl0_131
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f64,f303,f745]) ).

fof(f749,definition,
    ( spl0_132
  <=> c2_1(a738) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f751,plain,
    ( spl0_132
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f63,f303,f749]) ).

fof(f753,definition,
    ( spl0_133
  <=> c0_1(a751) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f754,plain,
    ( c0_1(a751)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f755,plain,
    ( spl0_133
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f62,f387,f753]) ).

fof(f757,definition,
    ( spl0_134
  <=> c0_1(a752) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f758,plain,
    ( c0_1(a752)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f759,plain,
    ( spl0_134
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f61,f417,f757]) ).

fof(f761,definition,
    ( spl0_135
  <=> c2_1(a754) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f763,plain,
    ( spl0_135
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f60,f263,f761]) ).

fof(f765,definition,
    ( spl0_136
  <=> c3_1(a760) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f767,plain,
    ( spl0_136
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f59,f404,f765]) ).

fof(f769,definition,
    ( spl0_137
  <=> c1_1(a760) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f770,plain,
    ( c1_1(a760)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f771,plain,
    ( spl0_137
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f58,f404,f769]) ).

fof(f773,definition,
    ( spl0_138
  <=> c1_1(a761) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f774,plain,
    ( c1_1(a761)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f775,plain,
    ( spl0_138
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f57,f401,f773]) ).

fof(f777,definition,
    ( spl0_139
  <=> c0_1(a763) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f778,plain,
    ( c0_1(a763)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f777]) ).

fof(f779,plain,
    ( spl0_139
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f56,f394,f777]) ).

fof(f785,definition,
    ( spl0_141
  <=> c2_1(a773) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f787,plain,
    ( spl0_141
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f54,f639,f785]) ).

fof(f789,definition,
    ( spl0_142
  <=> c1_1(a773) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f790,plain,
    ( c1_1(a773)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f789]) ).

fof(f791,plain,
    ( spl0_142
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f53,f639,f789]) ).

fof(f793,definition,
    ( spl0_143
  <=> c3_1(a777) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f795,plain,
    ( spl0_143
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f52,f646,f793]) ).

fof(f797,definition,
    ( spl0_144
  <=> c3_1(a691) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f800,plain,
    ( spl0_144
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f51,f377,f797]) ).

fof(f806,definition,
    ( spl0_146
  <=> c0_1(a691) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f807,plain,
    ( c0_1(a691)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f808,plain,
    ( spl0_146
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f49,f377,f806]) ).

fof(f810,definition,
    ( spl0_147
  <=> c2_1(a695) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f813,plain,
    ( spl0_147
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f48,f277,f810]) ).

fof(f815,definition,
    ( spl0_148
  <=> c1_1(a695) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f816,plain,
    ( c1_1(a695)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f817,plain,
    ( spl0_148
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f47,f277,f815]) ).

fof(f819,definition,
    ( spl0_149
  <=> c0_1(a695) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f820,plain,
    ( c0_1(a695)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f819]) ).

fof(f821,plain,
    ( spl0_149
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f46,f277,f819]) ).

fof(f823,definition,
    ( spl0_150
  <=> c3_1(a713) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f826,plain,
    ( spl0_150
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f45,f350,f823]) ).

fof(f828,definition,
    ( spl0_151
  <=> c2_1(a713) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f830,plain,
    ( spl0_151
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f44,f350,f828]) ).

fof(f832,definition,
    ( spl0_152
  <=> c0_1(a713) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f833,plain,
    ( c0_1(a713)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f834,plain,
    ( spl0_152
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f43,f350,f832]) ).

fof(f836,definition,
    ( spl0_153
  <=> c3_1(a733) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f839,plain,
    ( spl0_153
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f42,f299,f836]) ).

fof(f841,definition,
    ( spl0_154
  <=> c2_1(a733) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f843,plain,
    ( spl0_154
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f41,f299,f841]) ).

fof(f845,definition,
    ( spl0_155
  <=> c1_1(a733) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f846,plain,
    ( c1_1(a733)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f847,plain,
    ( spl0_155
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f40,f299,f845]) ).

fof(f848,plain,
    ( spl0_38
    | spl0_20
    | spl0_45 ),
    inference(avatar_split_clause,[],[f39,f359,f263,f331]) ).

fof(f849,plain,
    ( spl0_59
    | spl0_20
    | spl0_30 ),
    inference(avatar_split_clause,[],[f38,f299,f263,f421]) ).

fof(f850,plain,
    ( spl0_55
    | spl0_50
    | spl0_52 ),
    inference(avatar_split_clause,[],[f37,f394,f387,f404]) ).

fof(f851,plain,
    ( spl0_45
    | spl0_52
    | spl0_39 ),
    inference(avatar_split_clause,[],[f36,f335,f394,f359]) ).

fof(f852,plain,
    ( spl0_45
    | spl0_57
    | spl0_43 ),
    inference(avatar_split_clause,[],[f35,f350,f412,f359]) ).

fof(f854,plain,
    ( spl0_106
    | spl0_57
    | spl0_33 ),
    inference(avatar_split_clause,[],[f34,f310,f412,f646]) ).

fof(f856,plain,
    ( spl0_54
    | spl0_104
    | spl0_24 ),
    inference(avatar_split_clause,[],[f33,f277,f639,f401]) ).

fof(f860,plain,
    ( spl0_3
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f30,f421,f204]) ).

fof(f879,plain,
    ( spl0_3
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f11,f263,f204]) ).

fof(f889,plain,
    ( spl0_3
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f1,f299,f204]) ).

fof(f896,definition,
    ( spl0_156
  <=> c2_1(a722) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f899,plain,
    ( c3_1(a708)
    | ~ c0_1(a708)
    | ~ spl0_4
    | ~ spl0_120 ),
    inference(resolution,[],[f208,f702]) ).

fof(f903,definition,
    ( spl0_157
  <=> c0_1(a708) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f904,plain,
    ( ~ c0_1(a708)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f908,plain,
    ( c2_1(a761)
    | c0_1(a761)
    | ~ spl0_7
    | ~ spl0_138 ),
    inference(resolution,[],[f219,f774]) ).

fof(f912,plain,
    ( spl0_99
    | spl0_98
    | ~ spl0_7
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f908,f773,f218,f613,f617]) ).

fof(f915,plain,
    ( c3_1(a708)
    | ~ c2_1(a708)
    | ~ spl0_8
    | ~ spl0_120 ),
    inference(resolution,[],[f222,f702]) ).

fof(f917,plain,
    ( c3_1(a773)
    | ~ c2_1(a773)
    | ~ spl0_8
    | ~ spl0_142 ),
    inference(resolution,[],[f222,f790]) ).

fof(f921,definition,
    ( spl0_158
  <=> c3_1(a773) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f923,plain,
    ( ~ spl0_141
    | spl0_158
    | ~ spl0_8
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f917,f789,f221,f921,f785]) ).

fof(f925,plain,
    ( ~ spl0_119
    | spl0_72
    | ~ spl0_8
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f915,f701,f221,f494,f697]) ).

fof(f926,plain,
    ( c3_1(a726)
    | ~ c2_1(a726)
    | ~ spl0_8
    | ~ spl0_127 ),
    inference(resolution,[],[f730,f222]) ).

fof(f927,plain,
    ( c2_1(a726)
    | c0_1(a726)
    | ~ spl0_7
    | ~ spl0_127 ),
    inference(resolution,[],[f730,f219]) ).

fof(f931,definition,
    ( spl0_159
  <=> c2_1(a726) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f936,plain,
    ( ~ spl0_159
    | spl0_82
    | ~ spl0_8
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f926,f729,f221,f540,f931]) ).

fof(f939,plain,
    ( c3_1(a730)
    | ~ c2_1(a730)
    | ~ spl0_8
    | ~ spl0_128 ),
    inference(resolution,[],[f734,f222]) ).

fof(f942,definition,
    ( spl0_160
  <=> c2_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f951,plain,
    ( c3_1(a725)
    | c2_1(a725)
    | ~ spl0_9
    | spl0_81 ),
    inference(resolution,[],[f226,f536]) ).

fof(f953,definition,
    ( spl0_161
  <=> c2_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f971,plain,
    ( c3_1(a730)
    | c2_1(a730)
    | ~ spl0_6
    | ~ spl0_128 ),
    inference(resolution,[],[f215,f734]) ).

fof(f972,plain,
    ( c3_1(a726)
    | c2_1(a726)
    | ~ spl0_6
    | ~ spl0_127 ),
    inference(resolution,[],[f215,f730]) ).

fof(f973,plain,
    ( spl0_159
    | spl0_82
    | ~ spl0_6
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f972,f729,f214,f540,f931]) ).

fof(f974,plain,
    ( spl0_160
    | spl0_84
    | ~ spl0_6
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f971,f733,f214,f549,f942]) ).

fof(f979,plain,
    ( c3_1(a708)
    | ~ c2_1(a708)
    | ~ spl0_12
    | spl0_157 ),
    inference(resolution,[],[f236,f904]) ).

fof(f984,plain,
    ( c3_1(a754)
    | ~ c2_1(a754)
    | ~ spl0_12
    | spl0_96 ),
    inference(resolution,[],[f604,f236]) ).

fof(f989,plain,
    ( ~ spl0_135
    | spl0_95
    | ~ spl0_12
    | spl0_96 ),
    inference(avatar_split_clause,[],[f984,f603,f235,f599,f761]) ).

fof(f1008,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(resolution,[],[f243,f233]) ).

fof(f1014,plain,
    ( ~ c2_1(a693)
    | c0_1(a693)
    | ~ spl0_14
    | spl0_64 ),
    inference(resolution,[],[f243,f457]) ).

fof(f1015,plain,
    ( ~ c2_1(a725)
    | c0_1(a725)
    | ~ spl0_14
    | spl0_80 ),
    inference(resolution,[],[f243,f532]) ).

fof(f1018,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f1008]) ).

fof(f1022,definition,
    ( spl0_163
  <=> c0_1(a693) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1027,plain,
    ( spl0_12
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f1018,f242,f232,f235]) ).

fof(f1028,plain,
    ( c3_1(a698)
    | c2_1(a698)
    | ~ spl0_9
    | spl0_69 ),
    inference(resolution,[],[f480,f226]) ).

fof(f1031,plain,
    ( spl0_68
    | spl0_67
    | ~ spl0_9
    | spl0_69 ),
    inference(avatar_split_clause,[],[f1028,f479,f225,f471,f475]) ).

fof(f1033,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(resolution,[],[f246,f222]) ).

fof(f1038,plain,
    ( c3_1(a693)
    | ~ c0_1(a693)
    | ~ spl0_15
    | spl0_64 ),
    inference(resolution,[],[f246,f457]) ).

fof(f1040,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f1033]) ).

fof(f1049,plain,
    ( spl0_22
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1040,f245,f221,f270]) ).

fof(f1052,definition,
    ( spl0_164
  <=> c2_1(a760) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1064,definition,
    ( spl0_165
  <=> c3_1(a763) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1070,plain,
    ( c2_1(a763)
    | ~ c0_1(a763)
    | ~ spl0_16
    | spl0_101 ),
    inference(resolution,[],[f250,f627]) ).

fof(f1079,definition,
    ( spl0_166
  <=> c0_1(a734) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1080,plain,
    ( ~ c0_1(a734)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f1079]) ).

fof(f1084,definition,
    ( spl0_167
  <=> c2_1(a751) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1090,plain,
    ( c3_1(a695)
    | ~ c2_1(a695)
    | ~ spl0_8
    | ~ spl0_148 ),
    inference(resolution,[],[f816,f222]) ).

fof(f1094,definition,
    ( spl0_168
  <=> c3_1(a695) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1102,plain,
    ( c3_1(a730)
    | c2_1(a730)
    | ~ spl0_17
    | ~ spl0_129 ),
    inference(resolution,[],[f253,f738]) ).

fof(f1114,plain,
    ( ~ c2_1(a777)
    | ~ c3_1(a777)
    | ~ spl0_2
    | spl0_107 ),
    inference(resolution,[],[f650,f202]) ).

fof(f1117,definition,
    ( spl0_169
  <=> c2_1(a777) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1119,plain,
    ( ~ spl0_143
    | ~ spl0_169
    | ~ spl0_2
    | spl0_107 ),
    inference(avatar_split_clause,[],[f1114,f649,f201,f1117,f793]) ).

fof(f1150,definition,
    ( spl0_170
  <=> c3_1(a701) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1159,definition,
    ( spl0_171
  <=> c3_1(a692) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1170,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(resolution,[],[f199,f219]) ).

fof(f1171,plain,
    ( c2_1(a777)
    | ~ c3_1(a777)
    | ~ spl0_1
    | spl0_107 ),
    inference(resolution,[],[f199,f650]) ).

fof(f1174,plain,
    ( c2_1(a734)
    | ~ c3_1(a734)
    | ~ spl0_1
    | spl0_86 ),
    inference(resolution,[],[f199,f559]) ).

fof(f1178,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(duplicate_literal_removal,[],[f1170]) ).

fof(f1183,plain,
    ( ~ spl0_143
    | spl0_169
    | ~ spl0_1
    | spl0_107 ),
    inference(avatar_split_clause,[],[f1171,f649,f198,f1117,f793]) ).

fof(f1184,plain,
    ( spl0_18
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f1178,f218,f198,f256]) ).

fof(f1191,plain,
    ( c3_1(a726)
    | c2_1(a726)
    | ~ spl0_9
    | spl0_83 ),
    inference(resolution,[],[f545,f226]) ).

fof(f1193,plain,
    ( c3_1(a696)
    | ~ c0_1(a696)
    | ~ spl0_4
    | ~ spl0_111 ),
    inference(resolution,[],[f666,f208]) ).

fof(f1197,definition,
    ( spl0_172
  <=> c3_1(a696) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1199,plain,
    ( ~ spl0_112
    | spl0_172
    | ~ spl0_4
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1193,f665,f207,f1197,f669]) ).

fof(f1213,plain,
    ( c3_1(a726)
    | ~ c2_1(a726)
    | ~ spl0_12
    | spl0_83 ),
    inference(resolution,[],[f236,f545]) ).

fof(f1215,plain,
    ( c3_1(a692)
    | ~ c2_1(a692)
    | ~ spl0_12
    | spl0_62 ),
    inference(resolution,[],[f236,f448]) ).

fof(f1218,plain,
    ( ~ spl0_109
    | spl0_171
    | ~ spl0_12
    | spl0_62 ),
    inference(avatar_split_clause,[],[f1215,f447,f235,f1159,f657]) ).

fof(f1220,plain,
    ( ~ spl0_130
    | spl0_85
    | ~ spl0_1
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1174,f558,f198,f554,f741]) ).

fof(f1222,plain,
    ( spl0_159
    | spl0_82
    | ~ spl0_9
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1191,f544,f225,f540,f931]) ).

fof(f1224,plain,
    ( ~ spl0_163
    | spl0_63
    | ~ spl0_15
    | spl0_64 ),
    inference(avatar_split_clause,[],[f1038,f456,f245,f452,f1022]) ).

fof(f1225,plain,
    ( ~ spl0_159
    | spl0_82
    | ~ spl0_12
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1213,f544,f235,f540,f931]) ).

fof(f1227,plain,
    ( ~ spl0_147
    | spl0_168
    | ~ spl0_8
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1090,f815,f221,f1094,f810]) ).

fof(f1229,plain,
    ( ~ spl0_160
    | spl0_84
    | ~ spl0_8
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f939,f733,f221,f549,f942]) ).

fof(f1237,plain,
    ( ~ spl0_119
    | spl0_72
    | ~ spl0_12
    | spl0_157 ),
    inference(avatar_split_clause,[],[f979,f903,f235,f494,f697]) ).

fof(f1240,plain,
    ( c3_1(a725)
    | ~ c2_1(a725)
    | ~ spl0_12
    | spl0_81 ),
    inference(resolution,[],[f536,f236]) ).

fof(f1241,plain,
    ( ~ spl0_161
    | spl0_79
    | ~ spl0_12
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1240,f535,f235,f527,f953]) ).

fof(f1243,plain,
    ( c3_1(a730)
    | ~ c0_1(a730)
    | ~ spl0_4
    | ~ spl0_128 ),
    inference(resolution,[],[f734,f208]) ).

fof(f1248,plain,
    ( spl0_83
    | spl0_159
    | ~ spl0_7
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f927,f729,f218,f931,f544]) ).

fof(f1255,plain,
    ( ~ c2_1(a710)
    | ~ c3_1(a710)
    | ~ spl0_5
    | spl0_73 ),
    inference(resolution,[],[f212,f500]) ).

fof(f1256,plain,
    ( ~ c2_1(a692)
    | ~ c3_1(a692)
    | ~ spl0_5
    | spl0_62 ),
    inference(resolution,[],[f212,f448]) ).

fof(f1259,plain,
    ( ~ spl0_171
    | ~ spl0_109
    | ~ spl0_5
    | spl0_62 ),
    inference(avatar_split_clause,[],[f1256,f447,f211,f657,f1159]) ).

fof(f1262,plain,
    ( ~ spl0_121
    | ~ spl0_122
    | ~ spl0_5
    | spl0_73 ),
    inference(avatar_split_clause,[],[f1255,f499,f211,f709,f705]) ).

fof(f1267,plain,
    ( spl0_160
    | spl0_84
    | ~ spl0_17
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1102,f737,f252,f549,f942]) ).

fof(f1282,plain,
    ( ~ c3_1(a713)
    | ~ c2_1(a713)
    | ~ spl0_10
    | ~ spl0_152 ),
    inference(resolution,[],[f229,f833]) ).

fof(f1283,plain,
    ( ~ c3_1(a695)
    | ~ c2_1(a695)
    | ~ spl0_10
    | ~ spl0_149 ),
    inference(resolution,[],[f229,f820]) ).

fof(f1284,plain,
    ( ~ c3_1(a691)
    | ~ c2_1(a691)
    | ~ spl0_10
    | ~ spl0_146 ),
    inference(resolution,[],[f229,f807]) ).

fof(f1287,plain,
    ( ~ c3_1(a722)
    | ~ c2_1(a722)
    | ~ spl0_10
    | ~ spl0_126 ),
    inference(resolution,[],[f229,f726]) ).

fof(f1289,plain,
    ( ~ c3_1(a701)
    | ~ c2_1(a701)
    | ~ spl0_10
    | ~ spl0_116 ),
    inference(resolution,[],[f229,f686]) ).

fof(f1293,plain,
    ( ~ spl0_115
    | ~ spl0_170
    | ~ spl0_10
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1289,f685,f228,f1150,f681]) ).

fof(f1296,definition,
    ( spl0_173
  <=> c2_1(a691) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1299,plain,
    ( ~ spl0_173
    | ~ spl0_144
    | ~ spl0_10
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1284,f806,f228,f797,f1296]) ).

fof(f1301,plain,
    ( ~ spl0_147
    | ~ spl0_168
    | ~ spl0_10
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1283,f819,f228,f1094,f810]) ).

fof(f1302,plain,
    ( ~ spl0_151
    | ~ spl0_150
    | ~ spl0_10
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1282,f832,f228,f823,f828]) ).

fof(f1312,plain,
    ( c3_1(a708)
    | c0_1(a708)
    | ~ spl0_11
    | ~ spl0_120 ),
    inference(resolution,[],[f233,f702]) ).

fof(f1314,plain,
    ( spl0_157
    | spl0_72
    | ~ spl0_11
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1312,f701,f232,f494,f903]) ).

fof(f1319,plain,
    ( c2_1(a763)
    | ~ c3_1(a763)
    | ~ spl0_13
    | ~ spl0_139 ),
    inference(resolution,[],[f239,f778]) ).

fof(f1322,plain,
    ( c2_1(a702)
    | ~ c3_1(a702)
    | ~ spl0_13
    | ~ spl0_118 ),
    inference(resolution,[],[f239,f694]) ).

fof(f1328,plain,
    ( ~ spl0_117
    | spl0_71
    | ~ spl0_13
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1322,f693,f238,f489,f689]) ).

fof(f1336,plain,
    ( spl0_81
    | ~ spl0_161
    | ~ spl0_14
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1015,f531,f242,f953,f535]) ).

fof(f1338,plain,
    ( ~ spl0_156
    | ~ spl0_125
    | ~ spl0_10
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1287,f725,f228,f721,f896]) ).

fof(f1341,plain,
    ( c2_1(a763)
    | ~ c3_1(a763)
    | ~ spl0_1
    | spl0_101 ),
    inference(resolution,[],[f199,f627]) ).

fof(f1344,plain,
    ( c2_1(a722)
    | ~ c3_1(a722)
    | ~ spl0_1
    | spl0_78 ),
    inference(resolution,[],[f199,f523]) ).

fof(f1349,plain,
    ( ~ spl0_125
    | spl0_156
    | ~ spl0_1
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1344,f522,f198,f896,f721]) ).

fof(f1350,plain,
    ( ~ spl0_165
    | spl0_100
    | ~ spl0_1
    | spl0_101 ),
    inference(avatar_split_clause,[],[f1341,f626,f198,f622,f1064]) ).

fof(f1363,plain,
    ( ~ c2_1(a738)
    | ~ c3_1(a738)
    | ~ spl0_2
    | spl0_87 ),
    inference(resolution,[],[f202,f564]) ).

fof(f1365,plain,
    ( ~ c2_1(a692)
    | ~ c3_1(a692)
    | ~ spl0_2
    | spl0_61 ),
    inference(resolution,[],[f202,f444]) ).

fof(f1368,plain,
    ( ~ spl0_171
    | ~ spl0_109
    | ~ spl0_2
    | spl0_61 ),
    inference(avatar_split_clause,[],[f1365,f443,f201,f657,f1159]) ).

fof(f1372,plain,
    ( ~ spl0_131
    | ~ spl0_132
    | ~ spl0_2
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1363,f563,f201,f749,f745]) ).

fof(f1382,plain,
    ( c3_1(a696)
    | c2_1(a696)
    | ~ spl0_6
    | ~ spl0_111 ),
    inference(resolution,[],[f215,f666]) ).

fof(f1383,plain,
    ( spl0_65
    | spl0_172
    | ~ spl0_6
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1382,f665,f214,f1197,f461]) ).

fof(f1384,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(resolution,[],[f246,f215]) ).

fof(f1388,plain,
    ( c3_1(a751)
    | ~ c0_1(a751)
    | ~ spl0_15
    | spl0_92 ),
    inference(resolution,[],[f246,f586]) ).

fof(f1396,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f1384]) ).

fof(f1407,plain,
    ( ~ spl0_133
    | spl0_91
    | ~ spl0_15
    | spl0_92 ),
    inference(avatar_split_clause,[],[f1388,f585,f245,f581,f753]) ).

fof(f1409,plain,
    ( spl0_17
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1396,f245,f214,f252]) ).

fof(f1413,plain,
    ( c3_1(a763)
    | c2_1(a763)
    | ~ spl0_17
    | ~ spl0_139 ),
    inference(resolution,[],[f253,f778]) ).

fof(f1420,plain,
    ( spl0_100
    | spl0_165
    | ~ spl0_17
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1413,f777,f252,f1064,f622]) ).

fof(f1435,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(resolution,[],[f260,f233]) ).

fof(f1438,plain,
    ( c3_1(a751)
    | ~ c2_1(a751)
    | ~ spl0_19
    | spl0_92 ),
    inference(resolution,[],[f260,f586]) ).

fof(f1445,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(duplicate_literal_removal,[],[f1435]) ).

fof(f1451,plain,
    ( spl0_12
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f1445,f259,f232,f235]) ).

fof(f1454,plain,
    ( c3_1(a695)
    | ~ c2_1(a695)
    | ~ spl0_22
    | ~ spl0_149 ),
    inference(resolution,[],[f271,f820]) ).

fof(f1457,plain,
    ( c3_1(a730)
    | ~ c2_1(a730)
    | ~ spl0_22
    | ~ spl0_129 ),
    inference(resolution,[],[f271,f738]) ).

fof(f1460,plain,
    ( c3_1(a697)
    | ~ c2_1(a697)
    | ~ spl0_22
    | ~ spl0_114 ),
    inference(resolution,[],[f271,f678]) ).

fof(f1464,plain,
    ( ~ spl0_113
    | spl0_66
    | ~ spl0_22
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1460,f677,f270,f466,f673]) ).

fof(f1466,plain,
    ( ~ spl0_160
    | spl0_84
    | ~ spl0_22
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1457,f737,f270,f549,f942]) ).

fof(f1467,plain,
    ( ~ spl0_147
    | spl0_168
    | ~ spl0_22
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1454,f819,f270,f1094,f810]) ).

fof(f1470,plain,
    ( c2_1(a760)
    | ~ c3_1(a760)
    | ~ spl0_18
    | spl0_97 ),
    inference(resolution,[],[f609,f257]) ).

fof(f1471,plain,
    ( ~ spl0_136
    | spl0_164
    | ~ spl0_18
    | spl0_97 ),
    inference(avatar_split_clause,[],[f1470,f608,f256,f1052,f765]) ).

fof(f1475,plain,
    ( ~ c3_1(a733)
    | ~ c2_1(a733)
    | ~ spl0_23
    | ~ spl0_155 ),
    inference(resolution,[],[f274,f846]) ).

fof(f1478,plain,
    ( ~ c3_1(a773)
    | ~ c2_1(a773)
    | ~ spl0_23
    | ~ spl0_142 ),
    inference(resolution,[],[f274,f790]) ).

fof(f1479,plain,
    ( ~ c3_1(a760)
    | ~ c2_1(a760)
    | ~ spl0_23
    | ~ spl0_137 ),
    inference(resolution,[],[f274,f770]) ).

fof(f1485,plain,
    ( ~ spl0_164
    | ~ spl0_136
    | ~ spl0_23
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1479,f769,f273,f765,f1052]) ).

fof(f1486,plain,
    ( ~ spl0_141
    | ~ spl0_158
    | ~ spl0_23
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1478,f789,f273,f921,f785]) ).

fof(f1491,plain,
    ( ~ spl0_154
    | ~ spl0_153
    | ~ spl0_23
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1475,f845,f273,f836,f841]) ).

fof(f1515,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_11
    | ~ spl0_27 ),
    inference(resolution,[],[f289,f233]) ).

fof(f1526,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_11
    | ~ spl0_27 ),
    inference(duplicate_literal_removal,[],[f1515]) ).

fof(f1534,plain,
    ( spl0_9
    | ~ spl0_11
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f1526,f288,f232,f225]) ).

fof(f1560,plain,
    ( c2_1(a734)
    | ~ c3_1(a734)
    | ~ spl0_18
    | spl0_166 ),
    inference(resolution,[],[f1080,f257]) ).

fof(f1561,plain,
    ( ~ spl0_130
    | spl0_85
    | ~ spl0_18
    | spl0_166 ),
    inference(avatar_split_clause,[],[f1560,f1079,f256,f554,f741]) ).

fof(f1564,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_2
    | ~ spl0_35 ),
    inference(resolution,[],[f318,f202]) ).

fof(f1567,plain,
    ( c0_1(a773)
    | ~ c2_1(a773)
    | ~ spl0_35
    | ~ spl0_142 ),
    inference(resolution,[],[f318,f790]) ).

fof(f1568,plain,
    ( c0_1(a760)
    | ~ c2_1(a760)
    | ~ spl0_35
    | ~ spl0_137 ),
    inference(resolution,[],[f318,f770]) ).

fof(f1571,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_2
    | ~ spl0_35 ),
    inference(duplicate_literal_removal,[],[f1564]) ).

fof(f1574,plain,
    ( ~ spl0_164
    | spl0_97
    | ~ spl0_35
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1568,f769,f317,f608,f1052]) ).

fof(f1576,plain,
    ( ~ spl0_141
    | spl0_105
    | ~ spl0_35
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1567,f789,f317,f642,f785]) ).

fof(f1579,plain,
    ( spl0_5
    | ~ spl0_2
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f1571,f317,f201,f211]) ).

fof(f1597,plain,
    ( c0_1(a760)
    | ~ c3_1(a760)
    | ~ spl0_41
    | ~ spl0_137 ),
    inference(resolution,[],[f343,f770]) ).

fof(f1609,plain,
    ( c2_1(a717)
    | ~ c3_1(a717)
    | ~ spl0_29
    | ~ spl0_124 ),
    inference(resolution,[],[f718,f296]) ).

fof(f1610,plain,
    ( c2_1(a717)
    | ~ c0_1(a717)
    | ~ spl0_36
    | ~ spl0_124 ),
    inference(resolution,[],[f718,f321]) ).

fof(f1612,definition,
    ( spl0_177
  <=> c0_1(a717) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1617,plain,
    ( ~ spl0_123
    | spl0_77
    | ~ spl0_29
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1609,f717,f295,f517,f713]) ).

fof(f1621,plain,
    ( ~ spl0_157
    | spl0_72
    | ~ spl0_4
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f899,f701,f207,f494,f903]) ).

fof(f1622,plain,
    ( ~ spl0_129
    | spl0_84
    | ~ spl0_4
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1243,f733,f207,f549,f737]) ).

fof(f1623,plain,
    ( spl0_161
    | spl0_79
    | ~ spl0_9
    | spl0_81 ),
    inference(avatar_split_clause,[],[f951,f535,f225,f527,f953]) ).

fof(f1627,plain,
    ( ~ spl0_165
    | spl0_100
    | ~ spl0_13
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1319,f777,f238,f622,f1064]) ).

fof(f1631,plain,
    ( ~ spl0_167
    | spl0_91
    | ~ spl0_19
    | spl0_92 ),
    inference(avatar_split_clause,[],[f1438,f585,f259,f581,f1084]) ).

fof(f1638,plain,
    ( c3_1(a701)
    | ~ c0_1(a701)
    | ~ spl0_15
    | spl0_70 ),
    inference(resolution,[],[f485,f246]) ).

fof(f1639,plain,
    ( ~ spl0_116
    | spl0_170
    | ~ spl0_15
    | spl0_70 ),
    inference(avatar_split_clause,[],[f1638,f484,f245,f1150,f685]) ).

fof(f1642,plain,
    ( c3_1(a752)
    | c2_1(a752)
    | ~ spl0_17
    | ~ spl0_134 ),
    inference(resolution,[],[f758,f253]) ).

fof(f1645,plain,
    ( spl0_94
    | spl0_93
    | ~ spl0_17
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1642,f757,f252,f590,f594]) ).

fof(f1646,plain,
    ( ~ spl0_177
    | spl0_77
    | ~ spl0_36
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1610,f717,f320,f517,f1612]) ).

fof(f1648,plain,
    ( ~ spl0_136
    | spl0_97
    | ~ spl0_41
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1597,f769,f342,f608,f765]) ).

fof(f1653,plain,
    ( c3_1(a751)
    | c2_1(a751)
    | ~ spl0_17
    | ~ spl0_133 ),
    inference(resolution,[],[f754,f253]) ).

fof(f1654,plain,
    ( spl0_167
    | spl0_91
    | ~ spl0_17
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1653,f753,f252,f581,f1084]) ).

fof(f1656,plain,
    ( ~ spl0_139
    | spl0_100
    | ~ spl0_16
    | spl0_101 ),
    inference(avatar_split_clause,[],[f1070,f626,f249,f622,f777]) ).

fof(f1659,plain,
    ( spl0_163
    | ~ spl0_110
    | ~ spl0_14
    | spl0_64 ),
    inference(avatar_split_clause,[],[f1014,f456,f242,f661,f1022]) ).

fof(f1663,plain,
    ( c3_1(a695)
    | ~ c0_1(a695)
    | ~ spl0_4
    | ~ spl0_148 ),
    inference(resolution,[],[f208,f816]) ).

fof(f1669,plain,
    ( ~ spl0_149
    | spl0_168
    | ~ spl0_4
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1663,f815,f207,f1094,f819]) ).

fof(f1675,plain,
    ( c2_1(a717)
    | c0_1(a717)
    | ~ spl0_7
    | ~ spl0_124 ),
    inference(resolution,[],[f219,f718]) ).

fof(f1677,plain,
    ( spl0_177
    | spl0_77
    | ~ spl0_7
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1675,f717,f218,f517,f1612]) ).

fof(f1690,plain,
    ( c2_1(a691)
    | ~ c3_1(a691)
    | ~ spl0_13
    | ~ spl0_146 ),
    inference(resolution,[],[f239,f807]) ).

fof(f1696,plain,
    ( c2_1(a696)
    | ~ c3_1(a696)
    | ~ spl0_13
    | ~ spl0_112 ),
    inference(resolution,[],[f239,f670]) ).

fof(f1699,plain,
    ( ~ spl0_172
    | spl0_65
    | ~ spl0_13
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1696,f669,f238,f461,f1197]) ).

fof(f1700,plain,
    ( ~ spl0_144
    | spl0_173
    | ~ spl0_13
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1690,f806,f238,f1296,f797]) ).

fof(f1712,plain,
    ( ~ c2_1(a692)
    | c0_1(a692)
    | ~ spl0_14
    | spl0_61 ),
    inference(resolution,[],[f243,f444]) ).

fof(f1716,plain,
    ( spl0_62
    | ~ spl0_109
    | ~ spl0_14
    | spl0_61 ),
    inference(avatar_split_clause,[],[f1712,f443,f242,f657,f447]) ).

fof(f1721,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(resolution,[],[f250,f208]) ).

fof(f1722,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_6
    | ~ spl0_16 ),
    inference(resolution,[],[f250,f215]) ).

fof(f1726,plain,
    ( c2_1(a734)
    | ~ c0_1(a734)
    | ~ spl0_16
    | spl0_86 ),
    inference(resolution,[],[f250,f559]) ).

fof(f1732,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_6
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f1722]) ).

fof(f1733,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f1721]) ).

fof(f1735,plain,
    ( ~ spl0_166
    | spl0_85
    | ~ spl0_16
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1726,f558,f249,f554,f1079]) ).

fof(f1736,plain,
    ( spl0_17
    | ~ spl0_6
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f1732,f249,f214,f252]) ).

fof(f1737,plain,
    ( spl0_17
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f1733,f249,f207,f252]) ).

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

cnf(s2,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f216]) ).

cnf(s3,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f223]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f230]) ).

cnf(s5,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f240]) ).

cnf(s6,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_14
    | spl0_15 ),
    inference(sat_conversion,[],[f247]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f254]) ).

cnf(s8,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_18
    | spl0_19 ),
    inference(sat_conversion,[],[f261]) ).

cnf(s11,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_23
    | spl0_24 ),
    inference(sat_conversion,[],[f279]) ).

cnf(s13,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_9
    | spl0_27 ),
    inference(sat_conversion,[],[f290]) ).

cnf(s15,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_10
    | spl0_30 ),
    inference(sat_conversion,[],[f301]) ).

cnf(s17,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_19
    | spl0_33 ),
    inference(sat_conversion,[],[f312]) ).

cnf(s18,plain,
    ( ~ spl0_3
    | spl0_34
    | spl0_35
    | spl0_36 ),
    inference(sat_conversion,[],[f322]) ).

cnf(s19,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_23
    | spl0_25 ),
    inference(sat_conversion,[],[f323]) ).

cnf(s23,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_36
    | spl0_38 ),
    inference(sat_conversion,[],[f333]) ).

cnf(s25,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_40
    | spl0_41 ),
    inference(sat_conversion,[],[f344]) ).

cnf(s26,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_41
    | spl0_42 ),
    inference(sat_conversion,[],[f348]) ).

cnf(s27,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_35
    | spl0_43 ),
    inference(sat_conversion,[],[f352]) ).

cnf(s28,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_14
    | spl0_44 ),
    inference(sat_conversion,[],[f356]) ).

cnf(s29,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_19
    | spl0_24 ),
    inference(sat_conversion,[],[f357]) ).

cnf(s30,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_15
    | spl0_45 ),
    inference(sat_conversion,[],[f361]) ).

cnf(s32,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_12
    | spl0_46 ),
    inference(sat_conversion,[],[f366]) ).

cnf(s34,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_7
    | spl0_43 ),
    inference(sat_conversion,[],[f368]) ).

cnf(s35,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_13
    | spl0_37 ),
    inference(sat_conversion,[],[f369]) ).

cnf(s38,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_16
    | spl0_24 ),
    inference(sat_conversion,[],[f375]) ).

cnf(s40,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_11
    | spl0_46 ),
    inference(sat_conversion,[],[f380]) ).

cnf(s45,plain,
    ( ~ spl0_3
    | spl0_22
    | spl0_54
    | spl0_55 ),
    inference(sat_conversion,[],[f406]) ).

cnf(s46,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_31
    | spl0_56 ),
    inference(sat_conversion,[],[f410]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | spl0_29
    | spl0_50
    | spl0_58 ),
    inference(sat_conversion,[],[f419]) ).

cnf(s51,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_45
    | spl0_57 ),
    inference(sat_conversion,[],[f424]) ).

cnf(s54,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_38
    | spl0_56 ),
    inference(sat_conversion,[],[f427]) ).

cnf(s55,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_30
    | spl0_33 ),
    inference(sat_conversion,[],[f428]) ).

cnf(s56,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_21
    | spl0_33 ),
    inference(sat_conversion,[],[f429]) ).

cnf(s57,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_21
    | spl0_59 ),
    inference(sat_conversion,[],[f430]) ).

cnf(s59,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_21
    | spl0_40 ),
    inference(sat_conversion,[],[f432]) ).

cnf(s62,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_44
    | spl0_57 ),
    inference(sat_conversion,[],[f438]) ).

cnf(s63,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_46
    | spl0_48 ),
    inference(sat_conversion,[],[f439]) ).

cnf(s65,plain,
    ( ~ spl0_37
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f445]) ).

cnf(s66,plain,
    ( ~ spl0_37
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f449]) ).

cnf(s67,plain,
    ( ~ spl0_59
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f454]) ).

cnf(s68,plain,
    ( ~ spl0_59
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f458]) ).

cnf(s69,plain,
    ( ~ spl0_44
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f463]) ).

cnf(s70,plain,
    ( ~ spl0_21
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f468]) ).

cnf(s71,plain,
    ( ~ spl0_40
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s72,plain,
    ( ~ spl0_40
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f477]) ).

cnf(s73,plain,
    ( ~ spl0_40
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f481]) ).

cnf(s74,plain,
    ( ~ spl0_34
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f486]) ).

cnf(s75,plain,
    ( ~ spl0_46
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f491]) ).

cnf(s76,plain,
    ( ~ spl0_57
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f496]) ).

cnf(s77,plain,
    ( ~ spl0_25
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f501]) ).

cnf(s81,plain,
    ( ~ spl0_42
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f519]) ).

cnf(s82,plain,
    ( ~ spl0_39
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f524]) ).

cnf(s83,plain,
    ( ~ spl0_38
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f529]) ).

cnf(s84,plain,
    ( ~ spl0_38
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f533]) ).

cnf(s85,plain,
    ( ~ spl0_38
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f537]) ).

cnf(s86,plain,
    ( ~ spl0_45
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f542]) ).

cnf(s87,plain,
    ( ~ spl0_45
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f546]) ).

cnf(s88,plain,
    ( ~ spl0_33
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f551]) ).

cnf(s89,plain,
    ( ~ spl0_56
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f556]) ).

cnf(s90,plain,
    ( ~ spl0_56
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f560]) ).

cnf(s91,plain,
    ( ~ spl0_31
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f565]) ).

cnf(s95,plain,
    ( ~ spl0_50
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f583]) ).

cnf(s96,plain,
    ( ~ spl0_50
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f587]) ).

cnf(s97,plain,
    ( ~ spl0_58
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f592]) ).

cnf(s98,plain,
    ( ~ spl0_58
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f596]) ).

cnf(s99,plain,
    ( ~ spl0_20
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f601]) ).

cnf(s100,plain,
    ( ~ spl0_20
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f605]) ).

cnf(s101,plain,
    ( ~ spl0_55
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f610]) ).

cnf(s102,plain,
    ( ~ spl0_54
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f615]) ).

cnf(s103,plain,
    ( ~ spl0_54
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f619]) ).

cnf(s104,plain,
    ( ~ spl0_52
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f624]) ).

cnf(s105,plain,
    ( ~ spl0_52
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s108,plain,
    ( ~ spl0_104
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f644]) ).

cnf(s109,plain,
    ( ~ spl0_106
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f651]) ).

cnf(s111,plain,
    ( ~ spl0_37
    | spl0_109 ),
    inference(sat_conversion,[],[f659]) ).

cnf(s112,plain,
    ( ~ spl0_59
    | spl0_110 ),
    inference(sat_conversion,[],[f663]) ).

cnf(s113,plain,
    ( ~ spl0_44
    | spl0_111 ),
    inference(sat_conversion,[],[f667]) ).

cnf(s114,plain,
    ( ~ spl0_44
    | spl0_112 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s115,plain,
    ( ~ spl0_21
    | spl0_113 ),
    inference(sat_conversion,[],[f675]) ).

cnf(s116,plain,
    ( ~ spl0_21
    | spl0_114 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s117,plain,
    ( ~ spl0_34
    | spl0_115 ),
    inference(sat_conversion,[],[f683]) ).

cnf(s118,plain,
    ( ~ spl0_34
    | spl0_116 ),
    inference(sat_conversion,[],[f687]) ).

cnf(s119,plain,
    ( ~ spl0_46
    | spl0_117 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s120,plain,
    ( ~ spl0_46
    | spl0_118 ),
    inference(sat_conversion,[],[f695]) ).

cnf(s121,plain,
    ( ~ spl0_57
    | spl0_119 ),
    inference(sat_conversion,[],[f699]) ).

cnf(s122,plain,
    ( ~ spl0_57
    | spl0_120 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s123,plain,
    ( ~ spl0_25
    | spl0_121 ),
    inference(sat_conversion,[],[f707]) ).

cnf(s124,plain,
    ( ~ spl0_25
    | spl0_122 ),
    inference(sat_conversion,[],[f711]) ).

cnf(s125,plain,
    ( ~ spl0_42
    | spl0_123 ),
    inference(sat_conversion,[],[f715]) ).

cnf(s126,plain,
    ( ~ spl0_42
    | spl0_124 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s127,plain,
    ( ~ spl0_39
    | spl0_125 ),
    inference(sat_conversion,[],[f723]) ).

cnf(s128,plain,
    ( ~ spl0_39
    | spl0_126 ),
    inference(sat_conversion,[],[f727]) ).

cnf(s129,plain,
    ( ~ spl0_45
    | spl0_127 ),
    inference(sat_conversion,[],[f731]) ).

cnf(s130,plain,
    ( ~ spl0_33
    | spl0_128 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s131,plain,
    ( ~ spl0_33
    | spl0_129 ),
    inference(sat_conversion,[],[f739]) ).

cnf(s132,plain,
    ( ~ spl0_56
    | spl0_130 ),
    inference(sat_conversion,[],[f743]) ).

cnf(s133,plain,
    ( ~ spl0_31
    | spl0_131 ),
    inference(sat_conversion,[],[f747]) ).

cnf(s134,plain,
    ( ~ spl0_31
    | spl0_132 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s135,plain,
    ( ~ spl0_50
    | spl0_133 ),
    inference(sat_conversion,[],[f755]) ).

cnf(s136,plain,
    ( ~ spl0_58
    | spl0_134 ),
    inference(sat_conversion,[],[f759]) ).

cnf(s137,plain,
    ( ~ spl0_20
    | spl0_135 ),
    inference(sat_conversion,[],[f763]) ).

cnf(s138,plain,
    ( ~ spl0_55
    | spl0_136 ),
    inference(sat_conversion,[],[f767]) ).

cnf(s139,plain,
    ( ~ spl0_55
    | spl0_137 ),
    inference(sat_conversion,[],[f771]) ).

cnf(s140,plain,
    ( ~ spl0_54
    | spl0_138 ),
    inference(sat_conversion,[],[f775]) ).

cnf(s141,plain,
    ( ~ spl0_52
    | spl0_139 ),
    inference(sat_conversion,[],[f779]) ).

cnf(s143,plain,
    ( ~ spl0_104
    | spl0_141 ),
    inference(sat_conversion,[],[f787]) ).

cnf(s144,plain,
    ( ~ spl0_104
    | spl0_142 ),
    inference(sat_conversion,[],[f791]) ).

cnf(s145,plain,
    ( ~ spl0_106
    | spl0_143 ),
    inference(sat_conversion,[],[f795]) ).

cnf(s146,plain,
    ( ~ spl0_48
    | spl0_144 ),
    inference(sat_conversion,[],[f800]) ).

cnf(s148,plain,
    ( ~ spl0_48
    | spl0_146 ),
    inference(sat_conversion,[],[f808]) ).

cnf(s149,plain,
    ( ~ spl0_24
    | spl0_147 ),
    inference(sat_conversion,[],[f813]) ).

cnf(s150,plain,
    ( ~ spl0_24
    | spl0_148 ),
    inference(sat_conversion,[],[f817]) ).

cnf(s151,plain,
    ( ~ spl0_24
    | spl0_149 ),
    inference(sat_conversion,[],[f821]) ).

cnf(s152,plain,
    ( ~ spl0_43
    | spl0_150 ),
    inference(sat_conversion,[],[f826]) ).

cnf(s153,plain,
    ( ~ spl0_43
    | spl0_151 ),
    inference(sat_conversion,[],[f830]) ).

cnf(s154,plain,
    ( ~ spl0_43
    | spl0_152 ),
    inference(sat_conversion,[],[f834]) ).

cnf(s155,plain,
    ( ~ spl0_30
    | spl0_153 ),
    inference(sat_conversion,[],[f839]) ).

cnf(s156,plain,
    ( ~ spl0_30
    | spl0_154 ),
    inference(sat_conversion,[],[f843]) ).

cnf(s157,plain,
    ( ~ spl0_30
    | spl0_155 ),
    inference(sat_conversion,[],[f847]) ).

cnf(s158,plain,
    ( spl0_20
    | spl0_38
    | spl0_45 ),
    inference(sat_conversion,[],[f848]) ).

cnf(s159,plain,
    ( spl0_20
    | spl0_30
    | spl0_59 ),
    inference(sat_conversion,[],[f849]) ).

cnf(s160,plain,
    ( spl0_50
    | spl0_52
    | spl0_55 ),
    inference(sat_conversion,[],[f850]) ).

cnf(s161,plain,
    ( spl0_39
    | spl0_45
    | spl0_52 ),
    inference(sat_conversion,[],[f851]) ).

cnf(s162,plain,
    ( spl0_43
    | spl0_45
    | spl0_57 ),
    inference(sat_conversion,[],[f852]) ).

cnf(s163,plain,
    ( spl0_33
    | spl0_57
    | spl0_106 ),
    inference(sat_conversion,[],[f854]) ).

cnf(s164,plain,
    ( spl0_24
    | spl0_54
    | spl0_104 ),
    inference(sat_conversion,[],[f856]) ).

cnf(s167,plain,
    ( spl0_3
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f860]) ).

cnf(s186,plain,
    ( spl0_3
    | ~ spl0_20 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s196,plain,
    ( spl0_3
    | ~ spl0_30 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s199,plain,
    ( ~ spl0_7
    | spl0_98
    | spl0_99
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f912]) ).

cnf(s200,plain,
    ( ~ spl0_8
    | ~ spl0_141
    | ~ spl0_142
    | spl0_158 ),
    inference(sat_conversion,[],[f923]) ).

cnf(s201,plain,
    ( ~ spl0_8
    | spl0_72
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f925]) ).

cnf(s203,plain,
    ( ~ spl0_8
    | spl0_82
    | ~ spl0_127
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f936]) ).

cnf(s210,plain,
    ( ~ spl0_6
    | spl0_82
    | ~ spl0_127
    | spl0_159 ),
    inference(sat_conversion,[],[f973]) ).

cnf(s211,plain,
    ( ~ spl0_6
    | spl0_84
    | ~ spl0_128
    | spl0_160 ),
    inference(sat_conversion,[],[f974]) ).

cnf(s215,plain,
    ( ~ spl0_12
    | spl0_95
    | spl0_96
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f989]) ).

cnf(s221,plain,
    ( ~ spl0_11
    | spl0_12
    | ~ spl0_14 ),
    inference(sat_conversion,[],[f1027]) ).

cnf(s222,plain,
    ( ~ spl0_9
    | spl0_67
    | spl0_68
    | spl0_69 ),
    inference(sat_conversion,[],[f1031]) ).

cnf(s226,plain,
    ( ~ spl0_8
    | ~ spl0_15
    | spl0_22 ),
    inference(sat_conversion,[],[f1049]) ).

cnf(s240,plain,
    ( ~ spl0_2
    | spl0_107
    | ~ spl0_143
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1119]) ).

cnf(s254,plain,
    ( ~ spl0_1
    | spl0_107
    | ~ spl0_143
    | spl0_169 ),
    inference(sat_conversion,[],[f1183]) ).

cnf(s255,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | spl0_18 ),
    inference(sat_conversion,[],[f1184]) ).

cnf(s263,plain,
    ( ~ spl0_4
    | ~ spl0_111
    | ~ spl0_112
    | spl0_172 ),
    inference(sat_conversion,[],[f1199]) ).

cnf(s265,plain,
    ( ~ spl0_12
    | spl0_62
    | ~ spl0_109
    | spl0_171 ),
    inference(sat_conversion,[],[f1218]) ).

cnf(s267,plain,
    ( ~ spl0_1
    | spl0_85
    | spl0_86
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1220]) ).

cnf(s269,plain,
    ( ~ spl0_9
    | spl0_82
    | spl0_83
    | spl0_159 ),
    inference(sat_conversion,[],[f1222]) ).

cnf(s271,plain,
    ( ~ spl0_15
    | spl0_63
    | spl0_64
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1224]) ).

cnf(s272,plain,
    ( ~ spl0_12
    | spl0_82
    | spl0_83
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1225]) ).

cnf(s274,plain,
    ( ~ spl0_8
    | ~ spl0_147
    | ~ spl0_148
    | spl0_168 ),
    inference(sat_conversion,[],[f1227]) ).

cnf(s276,plain,
    ( ~ spl0_8
    | spl0_84
    | ~ spl0_128
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1229]) ).

cnf(s285,plain,
    ( ~ spl0_12
    | spl0_72
    | ~ spl0_119
    | spl0_157 ),
    inference(sat_conversion,[],[f1237]) ).

cnf(s287,plain,
    ( ~ spl0_12
    | spl0_79
    | spl0_81
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1241]) ).

cnf(s290,plain,
    ( ~ spl0_7
    | spl0_83
    | ~ spl0_127
    | spl0_159 ),
    inference(sat_conversion,[],[f1248]) ).

cnf(s293,plain,
    ( ~ spl0_5
    | spl0_62
    | ~ spl0_109
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1259]) ).

cnf(s294,plain,
    ( ~ spl0_5
    | spl0_73
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f1262]) ).

cnf(s298,plain,
    ( ~ spl0_17
    | spl0_84
    | ~ spl0_129
    | spl0_160 ),
    inference(sat_conversion,[],[f1267]) ).

cnf(s302,plain,
    ( ~ spl0_10
    | ~ spl0_115
    | ~ spl0_116
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1293]) ).

cnf(s304,plain,
    ( ~ spl0_10
    | ~ spl0_144
    | ~ spl0_146
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1299]) ).

cnf(s305,plain,
    ( ~ spl0_10
    | ~ spl0_147
    | ~ spl0_149
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1301]) ).

cnf(s306,plain,
    ( ~ spl0_10
    | ~ spl0_150
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1302]) ).

cnf(s308,plain,
    ( ~ spl0_11
    | spl0_72
    | ~ spl0_120
    | spl0_157 ),
    inference(sat_conversion,[],[f1314]) ).

cnf(s310,plain,
    ( ~ spl0_13
    | spl0_71
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f1328]) ).

cnf(s317,plain,
    ( ~ spl0_14
    | spl0_80
    | spl0_81
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1336]) ).

cnf(s319,plain,
    ( ~ spl0_10
    | ~ spl0_125
    | ~ spl0_126
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1338]) ).

cnf(s320,plain,
    ( ~ spl0_1
    | spl0_78
    | ~ spl0_125
    | spl0_156 ),
    inference(sat_conversion,[],[f1349]) ).

cnf(s321,plain,
    ( ~ spl0_1
    | spl0_100
    | spl0_101
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1350]) ).

cnf(s331,plain,
    ( ~ spl0_2
    | spl0_61
    | ~ spl0_109
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1368]) ).

cnf(s333,plain,
    ( ~ spl0_2
    | spl0_87
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f1372]) ).

cnf(s334,plain,
    ( ~ spl0_6
    | spl0_65
    | ~ spl0_111
    | spl0_172 ),
    inference(sat_conversion,[],[f1383]) ).

cnf(s338,plain,
    ( ~ spl0_15
    | spl0_91
    | spl0_92
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1407]) ).

cnf(s340,plain,
    ( ~ spl0_6
    | ~ spl0_15
    | spl0_17 ),
    inference(sat_conversion,[],[f1409]) ).

cnf(s342,plain,
    ( ~ spl0_17
    | spl0_100
    | ~ spl0_139
    | spl0_165 ),
    inference(sat_conversion,[],[f1420]) ).

cnf(s349,plain,
    ( ~ spl0_11
    | spl0_12
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f1451]) ).

cnf(s350,plain,
    ( ~ spl0_22
    | spl0_66
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f1464]) ).

cnf(s352,plain,
    ( ~ spl0_22
    | spl0_84
    | ~ spl0_129
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1466]) ).

cnf(s353,plain,
    ( ~ spl0_22
    | ~ spl0_147
    | ~ spl0_149
    | spl0_168 ),
    inference(sat_conversion,[],[f1467]) ).

cnf(s356,plain,
    ( ~ spl0_18
    | spl0_97
    | ~ spl0_136
    | spl0_164 ),
    inference(sat_conversion,[],[f1471]) ).

cnf(s357,plain,
    ( ~ spl0_23
    | ~ spl0_136
    | ~ spl0_137
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1485]) ).

cnf(s358,plain,
    ( ~ spl0_23
    | ~ spl0_141
    | ~ spl0_142
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1486]) ).

cnf(s361,plain,
    ( ~ spl0_23
    | ~ spl0_153
    | ~ spl0_154
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1491]) ).

cnf(s371,plain,
    ( spl0_9
    | ~ spl0_11
    | ~ spl0_27 ),
    inference(sat_conversion,[],[f1534]) ).

cnf(s373,plain,
    ( ~ spl0_18
    | spl0_85
    | ~ spl0_130
    | spl0_166 ),
    inference(sat_conversion,[],[f1561]) ).

cnf(s375,plain,
    ( ~ spl0_35
    | spl0_97
    | ~ spl0_137
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1574]) ).

cnf(s376,plain,
    ( ~ spl0_35
    | spl0_105
    | ~ spl0_141
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f1576]) ).

cnf(s378,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_35 ),
    inference(sat_conversion,[],[f1579]) ).

cnf(s384,plain,
    ( ~ spl0_29
    | spl0_77
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1617]) ).

cnf(s387,plain,
    ( ~ spl0_4
    | spl0_72
    | ~ spl0_120
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1621]) ).

cnf(s388,plain,
    ( ~ spl0_4
    | spl0_84
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f1622]) ).

cnf(s389,plain,
    ( ~ spl0_9
    | spl0_79
    | spl0_81
    | spl0_161 ),
    inference(sat_conversion,[],[f1623]) ).

cnf(s393,plain,
    ( ~ spl0_13
    | spl0_100
    | ~ spl0_139
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1627]) ).

cnf(s397,plain,
    ( ~ spl0_19
    | spl0_91
    | spl0_92
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1631]) ).

cnf(s404,plain,
    ( ~ spl0_15
    | spl0_70
    | ~ spl0_116
    | spl0_170 ),
    inference(sat_conversion,[],[f1639]) ).

cnf(s405,plain,
    ( ~ spl0_17
    | spl0_93
    | spl0_94
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1645]) ).

cnf(s406,plain,
    ( ~ spl0_36
    | spl0_77
    | ~ spl0_124
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f1646]) ).

cnf(s408,plain,
    ( ~ spl0_41
    | spl0_97
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1648]) ).

cnf(s412,plain,
    ( ~ spl0_17
    | spl0_91
    | ~ spl0_133
    | spl0_167 ),
    inference(sat_conversion,[],[f1654]) ).

cnf(s414,plain,
    ( ~ spl0_16
    | spl0_100
    | spl0_101
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1656]) ).

cnf(s417,plain,
    ( ~ spl0_14
    | spl0_64
    | ~ spl0_110
    | spl0_163 ),
    inference(sat_conversion,[],[f1659]) ).

cnf(s418,plain,
    ( ~ spl0_4
    | ~ spl0_148
    | ~ spl0_149
    | spl0_168 ),
    inference(sat_conversion,[],[f1669]) ).

cnf(s419,plain,
    ( ~ spl0_7
    | spl0_77
    | ~ spl0_124
    | spl0_177 ),
    inference(sat_conversion,[],[f1677]) ).

cnf(s420,plain,
    ( ~ spl0_13
    | spl0_65
    | ~ spl0_112
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1699]) ).

cnf(s421,plain,
    ( ~ spl0_13
    | ~ spl0_144
    | ~ spl0_146
    | spl0_173 ),
    inference(sat_conversion,[],[f1700]) ).

cnf(s423,plain,
    ( ~ spl0_14
    | spl0_61
    | spl0_62
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f1716]) ).

cnf(s427,plain,
    ( ~ spl0_16
    | spl0_85
    | spl0_86
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1735]) ).

cnf(s428,plain,
    ( ~ spl0_6
    | ~ spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f1736]) ).

cnf(s429,plain,
    ( ~ spl0_4
    | ~ spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f1737]) ).

cnf(s430,plain,
    spl0_3,
    inference(rat,[],[s159,s167,s186,s196]) ).

cnf(s431,plain,
    ( spl0_9
    | spl0_12
    | spl0_7 ),
    inference(rat,[],[s310,s75,s119,s120,s40,s5,s371,s13,s430]) ).

cnf(s432,plain,
    ( ~ spl0_46
    | ~ spl0_13 ),
    inference(rat,[],[s310,s75,s119,s120]) ).

cnf(s433,plain,
    ( ~ spl0_44
    | ~ spl0_13
    | ~ spl0_4 ),
    inference(rat,[],[s420,s263,s69,s113,s114]) ).

cnf(s434,plain,
    ( ~ spl0_59
    | ~ spl0_15
    | ~ spl0_14 ),
    inference(rat,[],[s271,s417,s67,s68,s112]) ).

cnf(s436,plain,
    ( ~ spl0_33
    | ~ spl0_4 ),
    inference(rat,[],[s388,s88,s130,s131]) ).

cnf(s437,plain,
    ( ~ spl0_58
    | ~ spl0_17 ),
    inference(rat,[],[s405,s97,s98,s136]) ).

cnf(s438,plain,
    ( ~ spl0_50
    | ~ spl0_17
    | ~ spl0_19 ),
    inference(rat,[],[s397,s412,s95,s96,s135]) ).

cnf(s441,plain,
    ( ~ spl0_55
    | ~ spl0_41 ),
    inference(rat,[],[s408,s101,s138,s139]) ).

cnf(s443,plain,
    ( ~ spl0_17
    | spl0_52
    | spl0_12
    | ~ spl0_19 ),
    inference(rat,[],[s384,s81,s125,s126,s26,s441,s160,s49,s438,s437,s430]) ).

cnf(s444,plain,
    ( spl0_17
    | spl0_12
    | ~ spl0_4 ),
    inference(rat,[],[s7,s429,s430]) ).

cnf(s445,plain,
    ( ~ spl0_17
    | spl0_12
    | ~ spl0_19 ),
    inference(rat,[],[s5,s393,s349,s342,s104,s141,s443,s430]) ).

cnf(s446,plain,
    ( spl0_12
    | ~ spl0_19
    | ~ spl0_4 ),
    inference(rat,[],[s445,s444]) ).

cnf(s447,plain,
    ( ~ spl0_45
    | ~ spl0_12
    | ~ spl0_6 ),
    inference(rat,[],[s210,s272,s86,s87,s129]) ).

cnf(s448,plain,
    ( ~ spl0_12
    | ~ spl0_6
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s285,s387,s76,s121,s122,s51,s447,s430]) ).

cnf(s449,plain,
    ( spl0_50
    | spl0_52
    | spl0_58
    | spl0_12 ),
    inference(rat,[],[s384,s81,s125,s126,s26,s441,s160,s49,s430]) ).

cnf(s450,plain,
    ( ~ spl0_54
    | ~ spl0_7 ),
    inference(rat,[],[s199,s102,s103,s140]) ).

cnf(s451,plain,
    ( ~ spl0_7
    | spl0_22
    | ~ spl0_36
    | spl0_12 ),
    inference(rat,[],[s406,s419,s81,s126,s26,s441,s45,s450,s430]) ).

cnf(s452,plain,
    ( ~ spl0_43
    | ~ spl0_10 ),
    inference(rat,[],[s152,s306,s153,s154]) ).

cnf(s454,plain,
    ( ~ spl0_38
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(rat,[],[s317,s389,s83,s84,s85]) ).

cnf(s455,plain,
    ( ~ spl0_21
    | ~ spl0_22 ),
    inference(rat,[],[s350,s70,s115,s116]) ).

cnf(s456,plain,
    ( spl0_21
    | ~ spl0_14
    | spl0_33
    | spl0_1 ),
    inference(rat,[],[s434,s57,s56,s430]) ).

cnf(s457,plain,
    ( ~ spl0_13
    | spl0_12
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s427,s373,s89,s90,s132,s54,s404,s302,s74,s117,s118,s18,s375,s356,s101,s138,s139,s23,s45,s451,s455,s456,s454,s40,s221,s28,s433,s432,s8,s450,s34,s452,s17,s446,s436,s1,s430]) ).

cnf(s458,plain,
    ( ~ spl0_24
    | ~ spl0_10
    | ~ spl0_4 ),
    inference(rat,[],[s305,s418,s149,s150,s151]) ).

cnf(s459,plain,
    ( ~ spl0_55
    | ~ spl0_23
    | ~ spl0_18 ),
    inference(rat,[],[s356,s357,s101,s138,s139]) ).

cnf(s460,plain,
    ( ~ spl0_30
    | ~ spl0_23 ),
    inference(rat,[],[s361,s155,s156,s157]) ).

cnf(s461,plain,
    ( ~ spl0_50
    | ~ spl0_15 ),
    inference(rat,[],[s338,s95,s96,s135]) ).

cnf(s462,plain,
    ( spl0_12
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s414,s104,s105,s141,s160,s461,s459,s6,s200,s358,s143,s144,s38,s11,s164,s458,s221,s5,s457,s450,s34,s452,s8,s17,s446,s436,s1,s430]) ).

cnf(s463,plain,
    ( ~ spl0_40
    | ~ spl0_9 ),
    inference(rat,[],[s222,s71,s72,s73]) ).

cnf(s465,plain,
    ( ~ spl0_45
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(rat,[],[s269,s272,s86,s87]) ).

cnf(s466,plain,
    ( ~ spl0_57
    | ~ spl0_12
    | ~ spl0_4 ),
    inference(rat,[],[s285,s387,s76,s121,s122]) ).

cnf(s467,plain,
    ( ~ spl0_12
    | spl0_2
    | ~ spl0_4 ),
    inference(rat,[],[s265,s293,s66,s111,s35,s433,s62,s465,s51,s466,s2,s448,s430]) ).

cnf(s468,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s467,s462,s1,s430]) ).

cnf(s469,plain,
    ( spl0_16
    | spl0_46
    | ~ spl0_4
    | spl0_12
    | spl0_1 ),
    inference(rat,[],[s23,s451,s454,s455,s40,s456,s221,s38,s458,s34,s452,s17,s446,s436,s430]) ).

cnf(s470,plain,
    ( ~ spl0_56
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(rat,[],[s427,s373,s89,s90,s132]) ).

cnf(s471,plain,
    ( ~ spl0_14
    | ~ spl0_9
    | spl0_56
    | ~ spl0_4
    | spl0_12
    | spl0_1 ),
    inference(rat,[],[s404,s302,s74,s117,s118,s18,s451,s54,s455,s454,s456,s376,s108,s143,s144,s164,s450,s34,s452,s458,s17,s446,s436,s430]) ).

cnf(s472,plain,
    ( ~ spl0_9
    | spl0_56
    | ~ spl0_4
    | spl0_12
    | spl0_1 ),
    inference(rat,[],[s203,s290,s86,s87,s129,s6,s30,s404,s302,s74,s117,s118,s18,s451,s455,s59,s471,s463,s376,s108,s143,s144,s164,s450,s34,s452,s458,s17,s446,s436,s430]) ).

cnf(s473,plain,
    ( ~ spl0_13
    | ~ spl0_4
    | spl0_12
    | spl0_1 ),
    inference(rat,[],[s308,s387,s76,s122,s40,s62,s472,s470,s469,s433,s432,s8,s446,s430]) ).

cnf(s474,plain,
    ( ~ spl0_4
    | spl0_12
    | spl0_1 ),
    inference(rat,[],[s414,s104,s105,s141,s160,s461,s55,s38,s460,s459,s221,s11,s5,s473,s458,s8,s17,s446,s436,s430]) ).

cnf(s475,plain,
    ( ~ spl0_33
    | spl0_55
    | ~ spl0_17
    | spl0_4 ),
    inference(rat,[],[s450,s3,s45,s276,s352,s298,s88,s130,s131,s430]) ).

cnf(s476,plain,
    ( spl0_40
    | spl0_19
    | ~ spl0_17
    | spl0_16
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s456,s59,s455,s45,s450,s34,s452,s17,s475,s441,s25,s430]) ).

cnf(s477,plain,
    ( spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s304,s421,s146,s148,s63,s4,s432,s430]) ).

cnf(s478,plain,
    ( spl0_16
    | spl0_40
    | spl0_12
    | spl0_1 ),
    inference(rat,[],[s476,s445,s7,s474,s430]) ).

cnf(s479,plain,
    ( ~ spl0_31
    | ~ spl0_2 ),
    inference(rat,[],[s333,s91,s133,s134]) ).

cnf(s480,plain,
    ( spl0_16
    | spl0_12
    | spl0_1 ),
    inference(rat,[],[s384,s81,s125,s126,s26,s49,s441,s461,s45,s6,s353,s274,s305,s149,s150,s151,s38,s221,s5,s450,s477,s4,s431,s463,s437,s478,s7,s474,s430]) ).

cnf(s481,plain,
    ( spl0_12
    | spl0_1 ),
    inference(rat,[],[s32,s432,s428,s5,s445,s349,s8,s470,s480,s46,s474,s479,s468,s430]) ).

cnf(s482,plain,
    ( ~ spl0_37
    | spl0_1 ),
    inference(rat,[],[s331,s265,s65,s66,s111,s468,s481]) ).

cnf(s484,plain,
    ( ~ spl0_20
    | ~ spl0_12 ),
    inference(rat,[],[s215,s99,s100,s137]) ).

cnf(s486,plain,
    ( ~ spl0_9
    | ~ spl0_12 ),
    inference(rat,[],[s287,s389,s83,s85,s158,s465,s484]) ).

cnf(s487,plain,
    ( ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s433,s62,s466,s35,s486,s481,s482,s430]) ).

cnf(s488,plain,
    spl0_1,
    inference(rat,[],[s477,s487,s35,s486,s482,s481,s430]) ).

cnf(s489,plain,
    ~ spl0_56,
    inference(rat,[],[s267,s89,s90,s132,s488]) ).

cnf(s490,plain,
    ( ~ spl0_52
    | ~ spl0_17 ),
    inference(rat,[],[s321,s342,s104,s105,s141,s488]) ).

cnf(s491,plain,
    ( ~ spl0_45
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(rat,[],[s203,s290,s86,s87,s129]) ).

cnf(s492,plain,
    ( spl0_14
    | spl0_44
    | spl0_5
    | spl0_15
    | spl0_43 ),
    inference(rat,[],[s201,s76,s121,s122,s162,s491,s27,s378,s6,s28,s430]) ).

cnf(s493,plain,
    ( ~ spl0_13
    | ~ spl0_4
    | spl0_12 ),
    inference(rat,[],[s40,s454,s221,s492,s433,s432,s452,s17,s446,s54,s294,s77,s123,s124,s19,s460,s55,s461,s449,s490,s437,s444,s436,s430,s489]) ).

cnf(s494,plain,
    ( ~ spl0_4
    | spl0_12 ),
    inference(rat,[],[s11,s493,s460,s55,s461,s449,s490,s458,s17,s437,s446,s444,s436,s430]) ).

cnf(s495,plain,
    ( ~ spl0_44
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(rat,[],[s334,s420,s69,s113,s114]) ).

cnf(s496,plain,
    ( ~ spl0_13
    | spl0_12 ),
    inference(rat,[],[s449,s490,s437,s340,s461,s54,s454,s28,s495,s32,s477,s432,s479,s46,s494,s430,s489]) ).

cnf(s498,plain,
    ( spl0_10
    | ~ spl0_8
    | spl0_12 ),
    inference(rat,[],[s294,s77,s123,s124,s19,s460,s15,s2,s211,s276,s88,s130,s17,s479,s46,s494,s349,s5,s496,s430,s489]) ).

cnf(s499,plain,
    ( ~ spl0_24
    | ~ spl0_10
    | ~ spl0_8 ),
    inference(rat,[],[s305,s274,s149,s150,s151]) ).

cnf(s500,plain,
    ( spl0_15
    | spl0_12 ),
    inference(rat,[],[s298,s29,s276,s88,s130,s131,s55,s460,s11,s499,s498,s6,s349,s221,s5,s496,s430]) ).

cnf(s501,plain,
    ( spl0_40
    | spl0_12 ),
    inference(rat,[],[s428,s437,s2,s49,s294,s384,s77,s123,s124,s81,s125,s126,s19,s25,s26,s459,s441,s45,s255,s450,s3,s226,s455,s59,s479,s46,s494,s221,s5,s496,s461,s500,s430,s488,s489]) ).

cnf(s502,plain,
    ( ~ spl0_17
    | spl0_12 ),
    inference(rat,[],[s449,s490,s437,s461,s500]) ).

cnf(s503,plain,
    spl0_12,
    inference(rat,[],[s294,s77,s123,s124,s19,s459,s45,s353,s305,s2,s149,s151,s340,s29,s502,s255,s450,s4,s431,s463,s501,s500,s349,s5,s496,s479,s46,s494,s430,s488,s489]) ).

cnf(s505,plain,
    ~ spl0_9,
    inference(rat,[],[s486,s503]) ).

cnf(s506,plain,
    ~ spl0_4,
    inference(rat,[],[s240,s254,s109,s145,s163,s467,s466,s436,s488,s503]) ).

cnf(s507,plain,
    spl0_31,
    inference(rat,[],[s46,s489,s430,s506]) ).

cnf(s508,plain,
    spl0_10,
    inference(rat,[],[s4,s505,s430,s506]) ).

cnf(s509,plain,
    ~ spl0_13,
    inference(rat,[],[s477,s505,s506]) ).

cnf(s513,plain,
    ~ spl0_2,
    inference(rat,[],[s479,s507]) ).

cnf(s514,plain,
    ~ spl0_43,
    inference(rat,[],[s452,s508]) ).

cnf(s515,plain,
    spl0_37,
    inference(rat,[],[s35,s505,s430,s509]) ).

cnf(s516,plain,
    spl0_109,
    inference(rat,[],[s111,s515]) ).

cnf(s517,plain,
    ~ spl0_62,
    inference(rat,[],[s66,s515]) ).

cnf(s518,plain,
    ~ spl0_61,
    inference(rat,[],[s65,s515]) ).

cnf(s519,plain,
    spl0_171,
    inference(rat,[],[s265,s516,s503,s517]) ).

cnf(s520,plain,
    ~ spl0_14,
    inference(rat,[],[s423,s516,s517,s518]) ).

cnf(s521,plain,
    ~ spl0_5,
    inference(rat,[],[s293,s517,s516,s519]) ).

cnf(s523,plain,
    spl0_6,
    inference(rat,[],[s2,s513,s430,s521]) ).

cnf(s527,plain,
    ~ spl0_45,
    inference(rat,[],[s447,s503,s523]) ).

cnf(s529,plain,
    spl0_57,
    inference(rat,[],[s162,s514,s527]) ).

cnf(s532,plain,
    spl0_120,
    inference(rat,[],[s122,s529]) ).

cnf(s533,plain,
    spl0_119,
    inference(rat,[],[s121,s529]) ).

cnf(s534,plain,
    ~ spl0_72,
    inference(rat,[],[s76,s529]) ).

cnf(s541,plain,
    ~ spl0_8,
    inference(rat,[],[s201,s532,s533,s534]) ).

cnf(s551,plain,
    spl0_15,
    inference(rat,[],[s6,s520,s430,s541]) ).

cnf(s557,plain,
    spl0_17,
    inference(rat,[],[s340,s523,s551]) ).

cnf(s563,plain,
    ~ spl0_52,
    inference(rat,[],[s490,s557]) ).

cnf(s570,plain,
    spl0_39,
    inference(rat,[],[s161,s527,s563]) ).

cnf(s577,plain,
    spl0_126,
    inference(rat,[],[s128,s570]) ).

cnf(s578,plain,
    spl0_125,
    inference(rat,[],[s127,s570]) ).

cnf(s579,plain,
    ~ spl0_78,
    inference(rat,[],[s82,s570]) ).

cnf(s582,plain,
    ~ spl0_156,
    inference(rat,[],[s319,s577,s508,s578]) ).

cnf(s583,plain,
    $false,
    inference(rat,[],[s320,s582,s488,s578,s579]) ).

fof(f1738,plain,
    $false,
    inference(avatar_sat_refutation,[],[s583]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN472-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20  % Computer : n017.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 16:06:52 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.89/0.72  % (3676366)Input is clausal, will run a generic CNF schedule.
% 1.89/0.72  % (3676377)dis-21_1_sil=8000:lcm=predicate:random_seed=891442182:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 1.89/0.72  % (3676377)First to succeed.
% 1.89/0.72  % (3676377)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3676366"
% 1.89/0.72  % (3676376)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=771673344:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.89/0.72  % (3676372)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1133107324:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.89/0.72  % (3676375)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3970888968:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.89/0.72  % (3676374)lrs+10_1_sil=8000:sp=occurrence:random_seed=3093209771:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.89/0.72  % (3676373)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1426716551:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.89/0.72  % (3676371)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=528344625:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.89/0.72  % (3676375)Also succeeded, but the first one will report.
% 1.89/0.72  % (3676376)Also succeeded, but the first one will report.
% 1.89/0.72  % (3676374)Also succeeded, but the first one will report.
% 1.89/0.72  % (3676377)Refutation found. Thanks to Tanya!
% 1.89/0.72  % SZS status Unsatisfiable for theBenchmark
% 1.89/0.72  % SZS output start Proof for theBenchmark
% See solution above
% 2.44/0.91  % (3676377)------------------------------
% 2.44/0.91  % (3676377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.44/0.91  % (3676377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.91  % (3676377)CaDiCaL version: 2.1.3
% 2.44/0.91  % (3676377)Termination reason: Refutation
% 2.44/0.91  % (3676377)Time elapsed: 0.015 s
% 2.44/0.91  % (3676377)Peak memory usage: 90 MB
% 2.44/0.91  % (3676377)Instructions burned: 40 (million)
% 2.44/0.91  % (3676377)------------------------------
% 2.44/0.91  % (3676377)------------------------------
% 2.44/0.91  % (3676366)Success in time 0.288 s
% 2.44/0.91  % Vampire exiting
%------------------------------------------------------------------------------