↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN443-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:08:24 PM UTC 2026

% Result   : Unsatisfiable 0.23s 0.28s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :  206
% Syntax   : Number of formulae    :  730 (  17 unt; 114 def)
%            Number of atoms       : 2271 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2634 (1093   ~;1427   |;   0   &)
%                                         ( 114 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  141 ( 140 usr; 137 prp; 0-1 aty)
%            Number of functors    :   21 (  21 usr;  21 con; 0-0 aty)
%            Number of variables   :  142 (   0 sgn 142   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( hskp11
    | hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f2,negated_conjecture,
    ( ~ hskp30
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

fof(f14,negated_conjecture,
    ( ~ hskp18
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).

fof(f30,negated_conjecture,
    ( ~ hskp2
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).

fof(f33,negated_conjecture,
    ( hskp28
    | hskp1
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

fof(f34,negated_conjecture,
    ( hskp28
    | hskp7
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f37,negated_conjecture,
    ( hskp30
    | hskp2
    | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( hskp30
    | hskp27
    | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f40,negated_conjecture,
    ( hskp2
    | hskp24
    | hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f42,negated_conjecture,
    ( ~ hskp30
    | c0_1(a33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( ~ hskp30
    | c2_1(a33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp30
    | c3_1(a33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp29
    | c0_1(a25) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp29
    | c1_1(a25) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp29
    | c2_1(a25) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp28
    | c0_1(a15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp28
    | c1_1(a15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( ~ hskp28
    | c3_1(a15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp27
    | c1_1(a10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp27
    | c2_1(a10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( ~ hskp27
    | c3_1(a10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f57,negated_conjecture,
    ( ~ hskp24
    | c0_1(a58) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( ~ hskp24
    | c3_1(a58) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp23
    | c0_1(a52) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp22
    | c2_1(a43) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp21
    | c2_1(a42) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp21
    | c3_1(a42) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp20
    | c1_1(a38) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp20
    | c3_1(a38) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( ~ hskp18
    | c3_1(a34) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f67,negated_conjecture,
    ( ~ hskp16
    | c2_1(a31) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp15
    | c0_1(a27) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp15
    | c1_1(a27) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f71,negated_conjecture,
    ( ~ hskp11
    | c0_1(a19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

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

fof(f73,negated_conjecture,
    ( ~ hskp9
    | c1_1(a12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f76,negated_conjecture,
    ( ~ hskp7
    | c1_1(a9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f78,negated_conjecture,
    ( ~ hskp5
    | c0_1(a6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp5
    | c2_1(a6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp4
    | c2_1(a5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp4
    | c3_1(a5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f83,negated_conjecture,
    ( ~ hskp2
    | c0_1(a3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ hskp2
    | c2_1(a3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ hskp1
    | c0_1(a2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( ~ hskp1
    | c3_1(a2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ hskp0
    | c1_1(a1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ hskp0
    | c2_1(a1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f92,negated_conjecture,
    ( ~ c1_1(a58)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ c1_1(a52)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ c2_1(a52)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ c1_1(a43)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ c3_1(a43)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ c0_1(a42)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ c0_1(a38)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f102,negated_conjecture,
    ( ~ c1_1(a34)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ c2_1(a34)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f107,negated_conjecture,
    ( ~ c1_1(a31)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c2_1(a27)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f112,negated_conjecture,
    ( ~ c0_1(a22)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ c2_1(a22)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f117,negated_conjecture,
    ( ~ c3_1(a19)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f121,negated_conjecture,
    ( ~ c2_1(a12)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c3_1(a12)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f124,negated_conjecture,
    ( ~ c0_1(a9)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ c2_1(a9)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f128,negated_conjecture,
    ( ~ c3_1(a6)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ c1_1(a5)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f132,negated_conjecture,
    ( ~ c1_1(a3)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f133,negated_conjecture,
    ( ~ c2_1(a2)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ( ~ c0_1(a1)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f138,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp5
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp28
      | hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f146,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp29
      | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp0
      | hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f149,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp2
      | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f150,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp15
      | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f152,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp2
      | hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f153,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp1
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f160,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f167,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f168,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f170,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f173,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

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

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

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

fof(f180,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X2)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

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

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

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

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

fof(f185,plain,
    ( hskp30
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f2]) ).

fof(f197,plain,
    ( ~ hskp18
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f14]) ).

fof(f213,plain,
    ( ~ hskp2
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f30]) ).

fof(f216,plain,
    ( ~ hskp28
    | ~ hskp1
    | ~ hskp9 ),
    inference(consistent_polarity_flipping,[],[f33]) ).

fof(f217,plain,
    ( ~ hskp28
    | ~ hskp7
    | ~ hskp9 ),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f220,plain,
    ( ~ hskp30
    | hskp2
    | hskp18 ),
    inference(consistent_polarity_flipping,[],[f37]) ).

fof(f221,plain,
    ( ~ hskp30
    | hskp27
    | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f38]) ).

fof(f223,plain,
    ( hskp2
    | ~ hskp24
    | hskp23 ),
    inference(consistent_polarity_flipping,[],[f40]) ).

fof(f225,plain,
    ( hskp30
    | c0_1(a33) ),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f226,plain,
    ( hskp30
    | c2_1(a33) ),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f227,plain,
    ( hskp30
    | ~ c3_1(a33) ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f228,plain,
    ( hskp29
    | c0_1(a25) ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f229,plain,
    ( hskp29
    | c1_1(a25) ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f230,plain,
    ( hskp29
    | c2_1(a25) ),
    inference(consistent_polarity_flipping,[],[f47]) ).

fof(f231,plain,
    ( hskp28
    | c0_1(a15) ),
    inference(consistent_polarity_flipping,[],[f48]) ).

fof(f232,plain,
    ( hskp28
    | c1_1(a15) ),
    inference(consistent_polarity_flipping,[],[f49]) ).

fof(f233,plain,
    ( hskp28
    | ~ c3_1(a15) ),
    inference(consistent_polarity_flipping,[],[f50]) ).

fof(f234,plain,
    ( ~ hskp27
    | ~ c3_1(a10) ),
    inference(consistent_polarity_flipping,[],[f53]) ).

fof(f237,plain,
    ( hskp24
    | c0_1(a58) ),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f238,plain,
    ( hskp24
    | ~ c3_1(a58) ),
    inference(consistent_polarity_flipping,[],[f58]) ).

fof(f239,plain,
    ( hskp21
    | c2_1(a42) ),
    inference(consistent_polarity_flipping,[],[f61]) ).

fof(f240,plain,
    ( hskp21
    | ~ c3_1(a42) ),
    inference(consistent_polarity_flipping,[],[f62]) ).

fof(f241,plain,
    ( ~ hskp20
    | ~ c3_1(a38) ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f242,plain,
    ( ~ hskp18
    | ~ c3_1(a34) ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f244,plain,
    ( hskp15
    | c0_1(a27) ),
    inference(consistent_polarity_flipping,[],[f68]) ).

fof(f245,plain,
    ( hskp15
    | c1_1(a27) ),
    inference(consistent_polarity_flipping,[],[f69]) ).

fof(f247,plain,
    ( hskp9
    | c1_1(a12) ),
    inference(consistent_polarity_flipping,[],[f73]) ).

fof(f248,plain,
    ( hskp7
    | c1_1(a9) ),
    inference(consistent_polarity_flipping,[],[f76]) ).

fof(f249,plain,
    ( hskp5
    | c0_1(a6) ),
    inference(consistent_polarity_flipping,[],[f78]) ).

fof(f250,plain,
    ( hskp5
    | c2_1(a6) ),
    inference(consistent_polarity_flipping,[],[f79]) ).

fof(f251,plain,
    ( hskp4
    | c2_1(a5) ),
    inference(consistent_polarity_flipping,[],[f80]) ).

fof(f252,plain,
    ( hskp4
    | ~ c3_1(a5) ),
    inference(consistent_polarity_flipping,[],[f81]) ).

fof(f254,plain,
    ( hskp1
    | c0_1(a2) ),
    inference(consistent_polarity_flipping,[],[f85]) ).

fof(f255,plain,
    ( hskp1
    | ~ c3_1(a2) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f258,plain,
    ( ~ c1_1(a58)
    | hskp24 ),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f259,plain,
    ( c3_1(a43)
    | ~ hskp22 ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f260,plain,
    ( ~ c0_1(a42)
    | hskp21 ),
    inference(consistent_polarity_flipping,[],[f97]) ).

fof(f262,plain,
    ( ~ c2_1(a27)
    | hskp15 ),
    inference(consistent_polarity_flipping,[],[f108]) ).

fof(f269,plain,
    ( c3_1(a19)
    | ~ hskp11 ),
    inference(consistent_polarity_flipping,[],[f117]) ).

fof(f273,plain,
    ( ~ c2_1(a12)
    | hskp9 ),
    inference(consistent_polarity_flipping,[],[f121]) ).

fof(f274,plain,
    ( c3_1(a12)
    | hskp9 ),
    inference(consistent_polarity_flipping,[],[f122]) ).

fof(f276,plain,
    ( ~ c0_1(a9)
    | hskp7 ),
    inference(consistent_polarity_flipping,[],[f124]) ).

fof(f277,plain,
    ( ~ c2_1(a9)
    | hskp7 ),
    inference(consistent_polarity_flipping,[],[f125]) ).

fof(f279,plain,
    ( c3_1(a6)
    | hskp5 ),
    inference(consistent_polarity_flipping,[],[f128]) ).

fof(f280,plain,
    ( ~ c1_1(a5)
    | hskp4 ),
    inference(consistent_polarity_flipping,[],[f129]) ).

fof(f283,plain,
    ( ~ c2_1(a2)
    | hskp1 ),
    inference(consistent_polarity_flipping,[],[f133]) ).

fof(f287,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | ~ hskp5
      | hskp0 ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f291,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | ~ hskp28
      | hskp27 ),
    inference(consistent_polarity_flipping,[],[f142]) ).

fof(f295,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | ~ hskp29
      | hskp20 ),
    inference(consistent_polarity_flipping,[],[f146]) ).

fof(f297,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp0
      | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f148]) ).

fof(f298,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ndr1_0
      | c2_1(X0)
      | ~ c3_1(X0)
      | hskp2
      | ~ hskp4 ),
    inference(consistent_polarity_flipping,[],[f149]) ).

fof(f299,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | c0_1(X0)
      | ~ hskp15
      | ~ hskp4 ),
    inference(consistent_polarity_flipping,[],[f150]) ).

fof(f301,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c1_1(X0)
      | hskp2
      | hskp23 ),
    inference(consistent_polarity_flipping,[],[f152]) ).

fof(f302,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c1_1(X0)
      | ~ hskp1
      | hskp0 ),
    inference(consistent_polarity_flipping,[],[f153]) ).

fof(f309,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f160]) ).

fof(f316,plain,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c3_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp22 ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f317,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ndr1_0
      | c3_1(X1)
      | ~ c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp0 ),
    inference(consistent_polarity_flipping,[],[f168]) ).

fof(f319,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X1)
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f322,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | ~ c2_1(X1)
      | c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f173]) ).

fof(f323,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c3_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | ~ hskp29 ),
    inference(consistent_polarity_flipping,[],[f174]) ).

fof(f324,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ hskp29 ),
    inference(consistent_polarity_flipping,[],[f175]) ).

fof(f325,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | c3_1(X1)
      | ~ c3_1(X0)
      | c1_1(X1)
      | hskp16 ),
    inference(consistent_polarity_flipping,[],[f176]) ).

fof(f327,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ndr1_0
      | ~ c2_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f178]) ).

fof(f329,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X2)
      | c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f180]) ).

fof(f330,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c3_1(X1)
      | c0_1(X2) ),
    inference(consistent_polarity_flipping,[],[f181]) ).

fof(f331,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | c3_1(X2)
      | ~ c3_1(X0)
      | c1_1(X1)
      | c0_1(X2) ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f332,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X2)
      | ~ c2_1(X2)
      | c2_1(X1)
      | c1_1(X2) ),
    inference(consistent_polarity_flipping,[],[f183]) ).

fof(f333,plain,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c3_1(X1)
      | ~ c0_1(X2)
      | ~ c1_1(X2)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f184]) ).

fof(f335,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f336,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c2_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f335]) ).

fof(f338,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f339,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f341,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f345,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f346,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f347,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f333,f345,f341,f338,f335]) ).

fof(f349,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f350,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f352,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f353,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f354,plain,
    ( spl0_5
    | spl0_6
    | spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f332,f338,f341,f352,f349]) ).

fof(f356,definition,
    ( spl0_7
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f357,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f359,definition,
    ( spl0_8
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f360,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f361,plain,
    ( spl0_7
    | spl0_5
    | spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f331,f359,f341,f349,f356]) ).

fof(f363,definition,
    ( spl0_9
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f364,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f366,definition,
    ( spl0_10
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f367,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f369,definition,
    ( spl0_11
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f370,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f371,plain,
    ( spl0_9
    | spl0_10
    | spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f330,f369,f341,f366,f363]) ).

fof(f373,definition,
    ( spl0_12
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f374,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f376,definition,
    ( spl0_13
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f377,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f378,plain,
    ( spl0_12
    | spl0_9
    | spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f329,f376,f341,f363,f373]) ).

fof(f380,definition,
    ( spl0_14
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f381,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f383,definition,
    ( spl0_15
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f384,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f386,definition,
    ( spl0_16
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f387,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f390,definition,
    ( spl0_17
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f391,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f392,plain,
    ( spl0_14
    | spl0_17
    | spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f327,f376,f341,f390,f380]) ).

fof(f398,definition,
    ( spl0_19
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f399,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f402,definition,
    ( spl0_20
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f406,definition,
    ( spl0_21
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f407,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f409,definition,
    ( spl0_22
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f410,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f411,plain,
    ( spl0_20
    | spl0_21
    | spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f325,f409,f341,f406,f402]) ).

fof(f413,definition,
    ( spl0_23
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f417,definition,
    ( spl0_24
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f418,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f419,plain,
    ( ~ spl0_23
    | spl0_13
    | spl0_3
    | spl0_24 ),
    inference(avatar_split_clause,[],[f324,f417,f341,f376,f413]) ).

fof(f421,definition,
    ( spl0_25
  <=> ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f422,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f423,plain,
    ( ~ spl0_23
    | spl0_25
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f323,f345,f341,f421,f413]) ).

fof(f425,definition,
    ( spl0_26
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f428,plain,
    ( ~ spl0_26
    | spl0_7
    | spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f322,f349,f341,f356,f425]) ).

fof(f438,definition,
    ( spl0_29
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f446,definition,
    ( spl0_31
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f449,plain,
    ( spl0_31
    | spl0_5
    | spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f319,f386,f341,f349,f446]) ).

fof(f452,definition,
    ( spl0_32
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f455,plain,
    ( spl0_32
    | spl0_25
    | spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f317,f409,f341,f421,f452]) ).

fof(f457,definition,
    ( spl0_33
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f460,plain,
    ( spl0_33
    | spl0_25
    | spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f316,f398,f341,f421,f457]) ).

fof(f475,definition,
    ( spl0_37
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f489,definition,
    ( spl0_40
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f492,plain,
    ( ~ spl0_40
    | spl0_14
    | spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f309,f349,f341,f380,f489]) ).

fof(f502,definition,
    ( spl0_43
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f515,definition,
    ( spl0_46
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f527,definition,
    ( spl0_49
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f535,plain,
    ( spl0_32
    | ~ spl0_40
    | spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f302,f398,f341,f489,f452]) ).

fof(f537,definition,
    ( spl0_51
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f540,plain,
    ( spl0_51
    | spl0_43
    | spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f301,f398,f341,f502,f537]) ).

fof(f543,definition,
    ( spl0_52
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f547,definition,
    ( spl0_53
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f550,plain,
    ( ~ spl0_52
    | ~ spl0_53
    | spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f299,f363,f341,f547,f543]) ).

fof(f551,plain,
    ( ~ spl0_52
    | spl0_43
    | spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f298,f386,f341,f502,f543]) ).

fof(f553,definition,
    ( spl0_54
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f556,plain,
    ( ~ spl0_54
    | spl0_32
    | spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f297,f383,f341,f452,f553]) ).

fof(f559,definition,
    ( spl0_55
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f562,plain,
    ( spl0_55
    | ~ spl0_23
    | spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f295,f383,f341,f413,f559]) ).

fof(f570,definition,
    ( spl0_57
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f575,definition,
    ( spl0_58
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f578,plain,
    ( spl0_46
    | ~ spl0_58
    | spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f291,f373,f341,f575,f515]) ).

fof(f589,definition,
    ( spl0_61
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f593,plain,
    ( spl0_32
    | ~ spl0_26
    | spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f287,f390,f341,f425,f452]) ).

fof(f596,definition,
    ( spl0_62
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f602,definition,
    ( spl0_63
  <=> c0_1(a1) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f605,plain,
    ( ~ spl0_32
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f134,f602,f452]) ).

fof(f607,definition,
    ( spl0_64
  <=> c2_1(a2) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f610,plain,
    ( spl0_40
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f283,f607,f489]) ).

fof(f612,definition,
    ( spl0_65
  <=> c1_1(a3) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f614,plain,
    ( ~ c1_1(a3)
    | spl0_65 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f615,plain,
    ( ~ spl0_43
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f132,f612,f502]) ).

fof(f627,definition,
    ( spl0_68
  <=> c1_1(a5) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f629,plain,
    ( ~ c1_1(a5)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f630,plain,
    ( spl0_52
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f280,f627,f543]) ).

fof(f632,definition,
    ( spl0_69
  <=> c3_1(a6) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f634,plain,
    ( c3_1(a6)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f635,plain,
    ( spl0_26
    | spl0_69 ),
    inference(avatar_split_clause,[],[f279,f632,f425]) ).

fof(f647,definition,
    ( spl0_72
  <=> c2_1(a9) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f650,plain,
    ( spl0_61
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f277,f647,f589]) ).

fof(f652,definition,
    ( spl0_73
  <=> c0_1(a9) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f655,plain,
    ( spl0_61
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f276,f652,f589]) ).

fof(f662,definition,
    ( spl0_75
  <=> c3_1(a12) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f664,plain,
    ( c3_1(a12)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f665,plain,
    ( spl0_37
    | spl0_75 ),
    inference(avatar_split_clause,[],[f274,f662,f475]) ).

fof(f667,definition,
    ( spl0_76
  <=> c2_1(a12) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f670,plain,
    ( spl0_37
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f273,f667,f475]) ).

fof(f687,definition,
    ( spl0_80
  <=> c3_1(a19) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f690,plain,
    ( ~ spl0_57
    | spl0_80 ),
    inference(avatar_split_clause,[],[f269,f687,f570]) ).

fof(f707,definition,
    ( spl0_84
  <=> c2_1(a22) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f709,plain,
    ( ~ c2_1(a22)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f710,plain,
    ( ~ spl0_31
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f113,f707,f446]) ).

fof(f712,definition,
    ( spl0_85
  <=> c0_1(a22) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f715,plain,
    ( ~ spl0_31
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f112,f712,f446]) ).

fof(f732,definition,
    ( spl0_89
  <=> c2_1(a27) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f735,plain,
    ( spl0_53
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f262,f732,f547]) ).

fof(f737,definition,
    ( spl0_90
  <=> c1_1(a31) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f739,plain,
    ( ~ c1_1(a31)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f740,plain,
    ( ~ spl0_20
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f107,f737,f402]) ).

fof(f757,definition,
    ( spl0_94
  <=> c2_1(a34) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f760,plain,
    ( ~ spl0_49
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f103,f757,f527]) ).

fof(f762,definition,
    ( spl0_95
  <=> c1_1(a34) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f764,plain,
    ( ~ c1_1(a34)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f765,plain,
    ( ~ spl0_49
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f102,f762,f527]) ).

fof(f782,definition,
    ( spl0_99
  <=> c0_1(a38) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f785,plain,
    ( ~ spl0_55
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f98,f782,f559]) ).

fof(f787,definition,
    ( spl0_100
  <=> c0_1(a42) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f790,plain,
    ( spl0_54
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f260,f787,f553]) ).

fof(f792,definition,
    ( spl0_101
  <=> c3_1(a43) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f795,plain,
    ( ~ spl0_33
    | spl0_101 ),
    inference(avatar_split_clause,[],[f259,f792,f457]) ).

fof(f797,definition,
    ( spl0_102
  <=> c1_1(a43) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f799,plain,
    ( ~ c1_1(a43)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f797]) ).

fof(f800,plain,
    ( ~ spl0_33
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f95,f797,f457]) ).

fof(f802,definition,
    ( spl0_103
  <=> c2_1(a52) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f805,plain,
    ( ~ spl0_51
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f94,f802,f537]) ).

fof(f807,definition,
    ( spl0_104
  <=> c1_1(a52) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f809,plain,
    ( ~ c1_1(a52)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f810,plain,
    ( ~ spl0_51
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f93,f807,f537]) ).

fof(f812,definition,
    ( spl0_105
  <=> c1_1(a58) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f814,plain,
    ( ~ c1_1(a58)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f815,plain,
    ( spl0_29
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f258,f812,f438]) ).

fof(f836,definition,
    ( spl0_110
  <=> c2_1(a1) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f839,plain,
    ( spl0_110
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f88,f452,f836]) ).

fof(f841,definition,
    ( spl0_111
  <=> c1_1(a1) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f843,plain,
    ( c1_1(a1)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f841]) ).

fof(f844,plain,
    ( spl0_111
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f87,f452,f841]) ).

fof(f846,definition,
    ( spl0_112
  <=> c3_1(a2) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f848,plain,
    ( ~ c3_1(a2)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f846]) ).

fof(f849,plain,
    ( ~ spl0_112
    | spl0_40 ),
    inference(avatar_split_clause,[],[f255,f489,f846]) ).

fof(f851,definition,
    ( spl0_113
  <=> c0_1(a2) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f854,plain,
    ( spl0_113
    | spl0_40 ),
    inference(avatar_split_clause,[],[f254,f489,f851]) ).

fof(f856,definition,
    ( spl0_114
  <=> c2_1(a3) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f859,plain,
    ( spl0_114
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f84,f502,f856]) ).

fof(f861,definition,
    ( spl0_115
  <=> c0_1(a3) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f864,plain,
    ( spl0_115
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f83,f502,f861]) ).

fof(f871,definition,
    ( spl0_117
  <=> c3_1(a5) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f873,plain,
    ( ~ c3_1(a5)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f874,plain,
    ( ~ spl0_117
    | spl0_52 ),
    inference(avatar_split_clause,[],[f252,f543,f871]) ).

fof(f876,definition,
    ( spl0_118
  <=> c2_1(a5) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f879,plain,
    ( spl0_118
    | spl0_52 ),
    inference(avatar_split_clause,[],[f251,f543,f876]) ).

fof(f881,definition,
    ( spl0_119
  <=> c2_1(a6) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f884,plain,
    ( spl0_119
    | spl0_26 ),
    inference(avatar_split_clause,[],[f250,f425,f881]) ).

fof(f886,definition,
    ( spl0_120
  <=> c0_1(a6) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f889,plain,
    ( spl0_120
    | spl0_26 ),
    inference(avatar_split_clause,[],[f249,f425,f886]) ).

fof(f896,definition,
    ( spl0_122
  <=> c1_1(a9) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f898,plain,
    ( c1_1(a9)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f896]) ).

fof(f899,plain,
    ( spl0_122
    | spl0_61 ),
    inference(avatar_split_clause,[],[f248,f589,f896]) ).

fof(f911,definition,
    ( spl0_125
  <=> c1_1(a12) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f913,plain,
    ( c1_1(a12)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f914,plain,
    ( spl0_125
    | spl0_37 ),
    inference(avatar_split_clause,[],[f247,f475,f911]) ).

fof(f916,definition,
    ( spl0_126
  <=> c1_1(a19) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f918,plain,
    ( c1_1(a19)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f916]) ).

fof(f919,plain,
    ( spl0_126
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f72,f570,f916]) ).

fof(f921,definition,
    ( spl0_127
  <=> c0_1(a19) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f924,plain,
    ( spl0_127
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f71,f570,f921]) ).

fof(f931,definition,
    ( spl0_129
  <=> c1_1(a27) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f933,plain,
    ( c1_1(a27)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f931]) ).

fof(f934,plain,
    ( spl0_129
    | spl0_53 ),
    inference(avatar_split_clause,[],[f245,f547,f931]) ).

fof(f936,definition,
    ( spl0_130
  <=> c0_1(a27) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f939,plain,
    ( spl0_130
    | spl0_53 ),
    inference(avatar_split_clause,[],[f244,f547,f936]) ).

fof(f941,definition,
    ( spl0_131
  <=> c2_1(a31) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f944,plain,
    ( spl0_131
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f67,f402,f941]) ).

fof(f951,definition,
    ( spl0_133
  <=> c3_1(a34) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f953,plain,
    ( ~ c3_1(a34)
    | spl0_133 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f954,plain,
    ( ~ spl0_133
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f242,f527,f951]) ).

fof(f956,definition,
    ( spl0_134
  <=> c3_1(a38) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f959,plain,
    ( ~ spl0_134
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f241,f559,f956]) ).

fof(f961,definition,
    ( spl0_135
  <=> c1_1(a38) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f963,plain,
    ( c1_1(a38)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f964,plain,
    ( spl0_135
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f63,f559,f961]) ).

fof(f966,definition,
    ( spl0_136
  <=> c3_1(a42) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f968,plain,
    ( ~ c3_1(a42)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f969,plain,
    ( ~ spl0_136
    | spl0_54 ),
    inference(avatar_split_clause,[],[f240,f553,f966]) ).

fof(f971,definition,
    ( spl0_137
  <=> c2_1(a42) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f974,plain,
    ( spl0_137
    | spl0_54 ),
    inference(avatar_split_clause,[],[f239,f553,f971]) ).

fof(f976,definition,
    ( spl0_138
  <=> c2_1(a43) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f979,plain,
    ( spl0_138
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f60,f457,f976]) ).

fof(f981,definition,
    ( spl0_139
  <=> c0_1(a52) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f984,plain,
    ( spl0_139
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f59,f537,f981]) ).

fof(f986,definition,
    ( spl0_140
  <=> c3_1(a58) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f988,plain,
    ( ~ c3_1(a58)
    | spl0_140 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f989,plain,
    ( ~ spl0_140
    | spl0_29 ),
    inference(avatar_split_clause,[],[f238,f438,f986]) ).

fof(f991,definition,
    ( spl0_141
  <=> c0_1(a58) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f994,plain,
    ( spl0_141
    | spl0_29 ),
    inference(avatar_split_clause,[],[f237,f438,f991]) ).

fof(f1011,definition,
    ( spl0_145
  <=> c3_1(a10) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1013,plain,
    ( ~ c3_1(a10)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f1011]) ).

fof(f1014,plain,
    ( ~ spl0_145
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f234,f515,f1011]) ).

fof(f1016,definition,
    ( spl0_146
  <=> c2_1(a10) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1019,plain,
    ( spl0_146
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f52,f515,f1016]) ).

fof(f1021,definition,
    ( spl0_147
  <=> c1_1(a10) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1023,plain,
    ( c1_1(a10)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f1021]) ).

fof(f1024,plain,
    ( spl0_147
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f51,f515,f1021]) ).

fof(f1026,definition,
    ( spl0_148
  <=> c3_1(a15) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1028,plain,
    ( ~ c3_1(a15)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f1026]) ).

fof(f1029,plain,
    ( ~ spl0_148
    | spl0_58 ),
    inference(avatar_split_clause,[],[f233,f575,f1026]) ).

fof(f1031,definition,
    ( spl0_149
  <=> c1_1(a15) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1033,plain,
    ( c1_1(a15)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f1031]) ).

fof(f1034,plain,
    ( spl0_149
    | spl0_58 ),
    inference(avatar_split_clause,[],[f232,f575,f1031]) ).

fof(f1036,definition,
    ( spl0_150
  <=> c0_1(a15) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1039,plain,
    ( spl0_150
    | spl0_58 ),
    inference(avatar_split_clause,[],[f231,f575,f1036]) ).

fof(f1041,definition,
    ( spl0_151
  <=> c2_1(a25) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1044,plain,
    ( spl0_151
    | spl0_23 ),
    inference(avatar_split_clause,[],[f230,f413,f1041]) ).

fof(f1046,definition,
    ( spl0_152
  <=> c1_1(a25) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1048,plain,
    ( c1_1(a25)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f1046]) ).

fof(f1049,plain,
    ( spl0_152
    | spl0_23 ),
    inference(avatar_split_clause,[],[f229,f413,f1046]) ).

fof(f1051,definition,
    ( spl0_153
  <=> c0_1(a25) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1054,plain,
    ( spl0_153
    | spl0_23 ),
    inference(avatar_split_clause,[],[f228,f413,f1051]) ).

fof(f1056,definition,
    ( spl0_154
  <=> c3_1(a33) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1058,plain,
    ( ~ c3_1(a33)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f1056]) ).

fof(f1059,plain,
    ( ~ spl0_154
    | spl0_62 ),
    inference(avatar_split_clause,[],[f227,f596,f1056]) ).

fof(f1061,definition,
    ( spl0_155
  <=> c2_1(a33) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1064,plain,
    ( spl0_155
    | spl0_62 ),
    inference(avatar_split_clause,[],[f226,f596,f1061]) ).

fof(f1066,definition,
    ( spl0_156
  <=> c0_1(a33) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1069,plain,
    ( spl0_156
    | spl0_62 ),
    inference(avatar_split_clause,[],[f225,f596,f1066]) ).

fof(f1071,plain,
    ( spl0_51
    | ~ spl0_29
    | spl0_43 ),
    inference(avatar_split_clause,[],[f223,f502,f438,f537]) ).

fof(f1073,plain,
    ( ~ spl0_61
    | spl0_46
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f221,f596,f515,f589]) ).

fof(f1074,plain,
    ( spl0_49
    | spl0_43
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f220,f596,f502,f527]) ).

fof(f1077,plain,
    ( ~ spl0_37
    | ~ spl0_61
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f217,f575,f589,f475]) ).

fof(f1078,plain,
    ( ~ spl0_37
    | ~ spl0_40
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f216,f575,f489,f475]) ).

fof(f1081,plain,
    ( ~ spl0_3
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f213,f502,f341]) ).

fof(f1097,plain,
    ( ~ spl0_3
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f197,f527,f341]) ).

fof(f1109,plain,
    ( ~ spl0_3
    | spl0_62 ),
    inference(avatar_split_clause,[],[f185,f596,f341]) ).

fof(f1110,plain,
    ( spl0_33
    | spl0_57 ),
    inference(avatar_split_clause,[],[f1,f570,f457]) ).

fof(f1117,plain,
    ( c0_1(a10)
    | ~ c2_1(a10)
    | ~ spl0_7
    | spl0_145 ),
    inference(resolution,[],[f357,f1013]) ).

fof(f1122,plain,
    ( c0_1(a42)
    | ~ c2_1(a42)
    | ~ spl0_7
    | spl0_136 ),
    inference(resolution,[],[f357,f968]) ).

fof(f1153,definition,
    ( spl0_160
  <=> c2_1(a38) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1158,definition,
    ( spl0_161
  <=> c2_1(a58) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1163,definition,
    ( spl0_162
  <=> c2_1(a15) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1186,plain,
    ( ~ c3_1(a43)
    | ~ c2_1(a43)
    | ~ spl0_10
    | spl0_102 ),
    inference(resolution,[],[f367,f799]) ).

fof(f1189,plain,
    ( ~ c3_1(a31)
    | ~ c2_1(a31)
    | ~ spl0_10
    | spl0_90 ),
    inference(resolution,[],[f367,f739]) ).

fof(f1212,plain,
    ( c2_1(a15)
    | ~ c0_1(a15)
    | ~ spl0_11
    | spl0_148 ),
    inference(resolution,[],[f370,f1028]) ).

fof(f1216,plain,
    ( c2_1(a58)
    | ~ c0_1(a58)
    | ~ spl0_11
    | spl0_140 ),
    inference(resolution,[],[f370,f988]) ).

fof(f1220,plain,
    ( c2_1(a34)
    | ~ c0_1(a34)
    | ~ spl0_11
    | spl0_133 ),
    inference(resolution,[],[f370,f953]) ).

fof(f1230,plain,
    ( c2_1(a2)
    | ~ c0_1(a2)
    | ~ spl0_11
    | spl0_112 ),
    inference(resolution,[],[f370,f848]) ).

fof(f1242,definition,
    ( spl0_166
  <=> c0_1(a5) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1252,definition,
    ( spl0_168
  <=> c0_1(a12) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1257,definition,
    ( spl0_169
  <=> c0_1(a34) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1272,definition,
    ( spl0_172
  <=> c0_1(a10) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1277,plain,
    ( c2_1(a9)
    | c0_1(a9)
    | ~ spl0_12
    | ~ spl0_122 ),
    inference(resolution,[],[f374,f898]) ).

fof(f1280,plain,
    ( spl0_73
    | spl0_72
    | ~ spl0_12
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1277,f896,f373,f647,f652]) ).

fof(f1281,plain,
    ( ~ spl0_146
    | spl0_172
    | ~ spl0_7
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1117,f1011,f356,f1272,f1016]) ).

fof(f1285,plain,
    ( c2_1(a12)
    | c0_1(a12)
    | ~ spl0_12
    | ~ spl0_125 ),
    inference(resolution,[],[f913,f374]) ).

fof(f1289,plain,
    ( spl0_168
    | spl0_76
    | ~ spl0_12
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1285,f911,f373,f667,f1252]) ).

fof(f1291,plain,
    ( c0_1(a10)
    | ~ c2_1(a10)
    | ~ spl0_9
    | ~ spl0_147 ),
    inference(resolution,[],[f1023,f364]) ).

fof(f1293,plain,
    ( c3_1(a10)
    | ~ c0_1(a10)
    | ~ spl0_2
    | ~ spl0_147 ),
    inference(resolution,[],[f1023,f339]) ).

fof(f1294,plain,
    ( ~ spl0_172
    | spl0_145
    | ~ spl0_2
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1293,f1021,f338,f1011,f1272]) ).

fof(f1297,plain,
    ( ~ c0_1(a6)
    | ~ c2_1(a6)
    | ~ spl0_8
    | ~ spl0_69 ),
    inference(resolution,[],[f634,f360]) ).

fof(f1298,plain,
    ( ~ spl0_119
    | ~ spl0_120
    | ~ spl0_8
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1297,f632,f359,f886,f881]) ).

fof(f1300,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(resolution,[],[f350,f339]) ).

fof(f1304,plain,
    ( ~ c0_1(a58)
    | ~ c2_1(a58)
    | ~ spl0_5
    | spl0_105 ),
    inference(resolution,[],[f350,f814]) ).

fof(f1321,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(duplicate_literal_removal,[],[f1300]) ).

fof(f1323,plain,
    ( spl0_24
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f1321,f349,f338,f417]) ).

fof(f1329,plain,
    ( c3_1(a27)
    | ~ c0_1(a27)
    | ~ spl0_2
    | ~ spl0_129 ),
    inference(resolution,[],[f933,f339]) ).

fof(f1331,definition,
    ( spl0_173
  <=> c3_1(a27) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1333,plain,
    ( c3_1(a27)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1331]) ).

fof(f1334,plain,
    ( ~ spl0_130
    | spl0_173
    | ~ spl0_2
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1329,f931,f338,f1331,f936]) ).

fof(f1342,plain,
    ( ~ c3_1(a52)
    | ~ c0_1(a52)
    | ~ spl0_13
    | spl0_104 ),
    inference(resolution,[],[f377,f809]) ).

fof(f1359,definition,
    ( spl0_174
  <=> c3_1(a52) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1361,plain,
    ( ~ c3_1(a52)
    | spl0_174 ),
    inference(avatar_component_clause,[],[f1359]) ).

fof(f1363,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(resolution,[],[f381,f374]) ).

fof(f1371,plain,
    ( c2_1(a34)
    | c0_1(a34)
    | ~ spl0_14
    | spl0_95 ),
    inference(resolution,[],[f381,f764]) ).

fof(f1383,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f1363]) ).

fof(f1393,plain,
    ( spl0_169
    | spl0_94
    | ~ spl0_14
    | spl0_95 ),
    inference(avatar_split_clause,[],[f1371,f762,f380,f757,f1257]) ).

fof(f1400,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_15 ),
    inference(resolution,[],[f384,f339]) ).

fof(f1403,plain,
    ( c2_1(a58)
    | ~ c0_1(a58)
    | ~ spl0_15
    | spl0_105 ),
    inference(resolution,[],[f384,f814]) ).

fof(f1404,plain,
    ( c2_1(a52)
    | ~ c0_1(a52)
    | ~ spl0_15
    | spl0_104 ),
    inference(resolution,[],[f384,f809]) ).

fof(f1419,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_2
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f1400]) ).

fof(f1422,plain,
    ( spl0_11
    | ~ spl0_2
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1419,f383,f338,f369]) ).

fof(f1425,plain,
    ( c2_1(a38)
    | c0_1(a38)
    | ~ spl0_12
    | ~ spl0_135 ),
    inference(resolution,[],[f963,f374]) ).

fof(f1427,plain,
    ( spl0_99
    | spl0_160
    | ~ spl0_12
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1425,f961,f373,f1153,f782]) ).

fof(f1428,plain,
    ( ~ spl0_141
    | spl0_161
    | ~ spl0_11
    | spl0_140 ),
    inference(avatar_split_clause,[],[f1216,f986,f369,f1158,f991]) ).

fof(f1433,plain,
    ( ~ spl0_161
    | ~ spl0_141
    | ~ spl0_5
    | spl0_105 ),
    inference(avatar_split_clause,[],[f1304,f812,f349,f991,f1158]) ).

fof(f1450,plain,
    ( ~ c0_1(a27)
    | c2_1(a27)
    | ~ spl0_16
    | ~ spl0_173 ),
    inference(resolution,[],[f387,f1333]) ).

fof(f1452,plain,
    ( ~ c0_1(a12)
    | c2_1(a12)
    | ~ spl0_16
    | ~ spl0_75 ),
    inference(resolution,[],[f387,f664]) ).

fof(f1465,definition,
    ( spl0_176
  <=> c3_1(a31) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1468,plain,
    ( ~ spl0_131
    | ~ spl0_176
    | ~ spl0_10
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1189,f737,f366,f1465,f941]) ).

fof(f1486,plain,
    ( c3_1(a15)
    | ~ c0_1(a15)
    | ~ spl0_2
    | ~ spl0_149 ),
    inference(resolution,[],[f1033,f339]) ).

fof(f1506,plain,
    ( c0_1(a22)
    | ~ spl0_12
    | ~ spl0_14
    | spl0_84 ),
    inference(resolution,[],[f1383,f709]) ).

fof(f1509,plain,
    ( spl0_85
    | ~ spl0_12
    | ~ spl0_14
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1506,f707,f380,f373,f712]) ).

fof(f1546,plain,
    ( ~ c2_1(a5)
    | c0_1(a5)
    | ~ spl0_17
    | spl0_68 ),
    inference(resolution,[],[f391,f629]) ).

fof(f1554,plain,
    ( spl0_166
    | ~ spl0_118
    | ~ spl0_17
    | spl0_68 ),
    inference(avatar_split_clause,[],[f1546,f627,f390,f876,f1242]) ).

fof(f1559,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_19 ),
    inference(resolution,[],[f399,f339]) ).

fof(f1564,plain,
    ( ~ c2_1(a31)
    | c3_1(a31)
    | ~ spl0_19
    | spl0_90 ),
    inference(resolution,[],[f399,f739]) ).

fof(f1567,plain,
    ( ~ c2_1(a5)
    | c3_1(a5)
    | ~ spl0_19
    | spl0_68 ),
    inference(resolution,[],[f399,f629]) ).

fof(f1572,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_19 ),
    inference(duplicate_literal_removal,[],[f1559]) ).

fof(f1575,plain,
    ( spl0_117
    | ~ spl0_118
    | ~ spl0_19
    | spl0_68 ),
    inference(avatar_split_clause,[],[f1567,f627,f398,f876,f871]) ).

fof(f1581,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_5
    | ~ spl0_22 ),
    inference(resolution,[],[f410,f350]) ).

fof(f1589,plain,
    ( ~ c3_1(a19)
    | ~ c0_1(a19)
    | ~ spl0_22
    | ~ spl0_126 ),
    inference(resolution,[],[f410,f918]) ).

fof(f1595,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_5
    | ~ spl0_22 ),
    inference(duplicate_literal_removal,[],[f1581]) ).

fof(f1604,plain,
    ( spl0_8
    | ~ spl0_5
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f1595,f409,f349,f359]) ).

fof(f1605,plain,
    ( ~ c0_1(a33)
    | ~ c2_1(a33)
    | ~ spl0_24
    | spl0_154 ),
    inference(resolution,[],[f418,f1058]) ).

fof(f1606,plain,
    ( ~ c0_1(a15)
    | ~ c2_1(a15)
    | ~ spl0_24
    | spl0_148 ),
    inference(resolution,[],[f418,f1028]) ).

fof(f1608,plain,
    ( ~ c0_1(a58)
    | ~ c2_1(a58)
    | ~ spl0_24
    | spl0_140 ),
    inference(resolution,[],[f418,f988]) ).

fof(f1618,plain,
    ( ~ c0_1(a5)
    | ~ c2_1(a5)
    | ~ spl0_24
    | spl0_117 ),
    inference(resolution,[],[f418,f873]) ).

fof(f1625,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_25 ),
    inference(resolution,[],[f422,f339]) ).

fof(f1626,plain,
    ( c2_1(a58)
    | c3_1(a58)
    | ~ spl0_25
    | spl0_105 ),
    inference(resolution,[],[f422,f814]) ).

fof(f1627,plain,
    ( c2_1(a52)
    | c3_1(a52)
    | ~ spl0_25
    | spl0_104 ),
    inference(resolution,[],[f422,f809]) ).

fof(f1629,plain,
    ( c2_1(a34)
    | c3_1(a34)
    | ~ spl0_25
    | spl0_95 ),
    inference(resolution,[],[f422,f764]) ).

fof(f1638,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_25 ),
    inference(duplicate_literal_removal,[],[f1625]) ).

fof(f1646,plain,
    ( spl0_11
    | ~ spl0_2
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f1638,f421,f338,f369]) ).

fof(f1647,plain,
    ( ~ spl0_138
    | ~ spl0_101
    | ~ spl0_10
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1186,f797,f366,f792,f976]) ).

fof(f1651,plain,
    ( ~ spl0_137
    | spl0_100
    | ~ spl0_7
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1122,f966,f356,f787,f971]) ).

fof(f1655,plain,
    ( spl0_89
    | ~ spl0_130
    | ~ spl0_16
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1450,f1331,f386,f936,f732]) ).

fof(f1659,plain,
    ( spl0_24
    | ~ spl0_2
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f1572,f398,f338,f417]) ).

fof(f1661,plain,
    ( spl0_176
    | ~ spl0_131
    | ~ spl0_19
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1564,f737,f398,f941,f1465]) ).

fof(f1676,plain,
    ( ~ c2_1(a25)
    | ~ c0_1(a25)
    | ~ spl0_1
    | ~ spl0_152 ),
    inference(resolution,[],[f336,f1048]) ).

fof(f1677,plain,
    ( ~ c2_1(a15)
    | ~ c0_1(a15)
    | ~ spl0_1
    | ~ spl0_149 ),
    inference(resolution,[],[f336,f1033]) ).

fof(f1678,plain,
    ( ~ c2_1(a10)
    | ~ c0_1(a10)
    | ~ spl0_1
    | ~ spl0_147 ),
    inference(resolution,[],[f336,f1023]) ).

fof(f1692,plain,
    ( ~ spl0_150
    | ~ spl0_162
    | ~ spl0_1
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1677,f1031,f335,f1163,f1036]) ).

fof(f1696,plain,
    ( c3_1(a15)
    | ~ c2_1(a15)
    | ~ spl0_4
    | ~ spl0_149 ),
    inference(resolution,[],[f346,f1033]) ).

fof(f1697,plain,
    ( c3_1(a10)
    | ~ c2_1(a10)
    | ~ spl0_4
    | ~ spl0_147 ),
    inference(resolution,[],[f346,f1023]) ).

fof(f1698,plain,
    ( c3_1(a38)
    | ~ c2_1(a38)
    | ~ spl0_4
    | ~ spl0_135 ),
    inference(resolution,[],[f346,f963]) ).

fof(f1717,plain,
    ( c2_1(a15)
    | ~ c0_1(a15)
    | ~ spl0_6
    | ~ spl0_149 ),
    inference(resolution,[],[f353,f1033]) ).

fof(f1722,plain,
    ( c2_1(a12)
    | ~ c0_1(a12)
    | ~ spl0_6
    | ~ spl0_125 ),
    inference(resolution,[],[f353,f913]) ).

fof(f1739,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(resolution,[],[f350,f346]) ).

fof(f1748,plain,
    ( ~ c0_1(a3)
    | ~ c2_1(a3)
    | ~ spl0_5
    | spl0_65 ),
    inference(resolution,[],[f350,f614]) ).

fof(f1751,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(duplicate_literal_removal,[],[f1739]) ).

fof(f1752,plain,
    ( spl0_24
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f1751,f349,f345,f417]) ).

fof(f1755,plain,
    ( ~ spl0_168
    | spl0_76
    | ~ spl0_6
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1722,f911,f352,f667,f1252]) ).

fof(f1761,plain,
    ( ~ spl0_141
    | spl0_161
    | ~ spl0_15
    | spl0_105 ),
    inference(avatar_split_clause,[],[f1403,f812,f383,f1158,f991]) ).

fof(f1765,plain,
    ( spl0_140
    | spl0_161
    | ~ spl0_25
    | spl0_105 ),
    inference(avatar_split_clause,[],[f1626,f812,f421,f1158,f986]) ).

fof(f1773,plain,
    ( ~ spl0_150
    | spl0_148
    | ~ spl0_2
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1486,f1031,f338,f1026,f1036]) ).

fof(f1778,plain,
    ( ~ spl0_114
    | ~ spl0_115
    | ~ spl0_5
    | spl0_65 ),
    inference(avatar_split_clause,[],[f1748,f612,f349,f861,f856]) ).

fof(f1780,plain,
    ( ~ spl0_169
    | spl0_94
    | ~ spl0_11
    | spl0_133 ),
    inference(avatar_split_clause,[],[f1220,f951,f369,f757,f1257]) ).

fof(f1783,plain,
    ( ~ spl0_113
    | spl0_64
    | ~ spl0_11
    | spl0_112 ),
    inference(avatar_split_clause,[],[f1230,f846,f369,f607,f851]) ).

fof(f1784,plain,
    ( spl0_76
    | ~ spl0_168
    | ~ spl0_16
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1452,f662,f386,f1252,f667]) ).

fof(f1785,plain,
    ( ~ spl0_155
    | ~ spl0_156
    | ~ spl0_24
    | spl0_154 ),
    inference(avatar_split_clause,[],[f1605,f1056,f417,f1066,f1061]) ).

fof(f1789,plain,
    ( ~ spl0_118
    | ~ spl0_166
    | ~ spl0_24
    | spl0_117 ),
    inference(avatar_split_clause,[],[f1618,f871,f417,f1242,f876]) ).

fof(f1793,plain,
    ( ~ spl0_150
    | spl0_162
    | ~ spl0_6
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1717,f1031,f352,f1163,f1036]) ).

fof(f1841,plain,
    ( c2_1(a52)
    | ~ c0_1(a52)
    | ~ spl0_11
    | spl0_174 ),
    inference(resolution,[],[f370,f1361]) ).

fof(f1849,plain,
    ( ~ spl0_139
    | spl0_103
    | ~ spl0_11
    | spl0_174 ),
    inference(avatar_split_clause,[],[f1841,f1359,f369,f802,f981]) ).

fof(f1851,plain,
    ( ~ spl0_162
    | spl0_148
    | ~ spl0_4
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1696,f1031,f345,f1026,f1163]) ).

fof(f1852,plain,
    ( ~ spl0_146
    | spl0_145
    | ~ spl0_4
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1697,f1021,f345,f1011,f1016]) ).

fof(f1853,plain,
    ( ~ spl0_160
    | spl0_134
    | ~ spl0_4
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1698,f961,f345,f956,f1153]) ).

fof(f1857,plain,
    ( ~ spl0_146
    | spl0_172
    | ~ spl0_9
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1291,f1021,f363,f1272,f1016]) ).

fof(f1861,plain,
    ( ~ spl0_150
    | spl0_162
    | ~ spl0_11
    | spl0_148 ),
    inference(avatar_split_clause,[],[f1212,f1026,f369,f1163,f1036]) ).

fof(f1862,plain,
    ( ~ spl0_162
    | ~ spl0_150
    | ~ spl0_24
    | spl0_148 ),
    inference(avatar_split_clause,[],[f1606,f1026,f417,f1036,f1163]) ).

fof(f1901,plain,
    ( c0_1(a1)
    | ~ c2_1(a1)
    | ~ spl0_9
    | ~ spl0_111 ),
    inference(resolution,[],[f364,f843]) ).

fof(f1910,plain,
    ( ~ spl0_139
    | ~ spl0_174
    | ~ spl0_13
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1342,f807,f376,f1359,f981]) ).

fof(f1950,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(resolution,[],[f391,f346]) ).

fof(f1957,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(duplicate_literal_removal,[],[f1950]) ).

fof(f1958,plain,
    ( spl0_7
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f1957,f390,f345,f356]) ).

fof(f1986,plain,
    ( ~ c0_1(a52)
    | c3_1(a52)
    | ~ spl0_21
    | spl0_104 ),
    inference(resolution,[],[f407,f809]) ).

fof(f1993,plain,
    ( spl0_174
    | ~ spl0_139
    | ~ spl0_21
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1986,f807,f406,f981,f1359]) ).

fof(f1998,plain,
    ( ~ spl0_161
    | ~ spl0_141
    | ~ spl0_24
    | spl0_140 ),
    inference(avatar_split_clause,[],[f1608,f986,f417,f991,f1158]) ).

fof(f2000,plain,
    ( ~ c0_1(a58)
    | c3_1(a58)
    | ~ spl0_21
    | spl0_105 ),
    inference(resolution,[],[f814,f407]) ).

fof(f2006,plain,
    ( spl0_140
    | ~ spl0_141
    | ~ spl0_21
    | spl0_105 ),
    inference(avatar_split_clause,[],[f2000,f812,f406,f991,f986]) ).

fof(f2007,plain,
    ( ~ spl0_153
    | ~ spl0_151
    | ~ spl0_1
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1676,f1046,f335,f1041,f1051]) ).

fof(f2008,plain,
    ( ~ spl0_172
    | ~ spl0_146
    | ~ spl0_1
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1678,f1021,f335,f1016,f1272]) ).

fof(f2014,plain,
    ( ~ spl0_110
    | spl0_63
    | ~ spl0_9
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1901,f841,f363,f602,f836]) ).

fof(f2018,plain,
    ( ~ spl0_139
    | spl0_103
    | ~ spl0_15
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1404,f807,f383,f802,f981]) ).

fof(f2023,plain,
    ( ~ spl0_127
    | ~ spl0_80
    | ~ spl0_22
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1589,f916,f409,f687,f921]) ).

fof(f2025,plain,
    ( spl0_174
    | spl0_103
    | ~ spl0_25
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1627,f807,f421,f802,f1359]) ).

fof(f2026,plain,
    ( spl0_133
    | spl0_94
    | ~ spl0_25
    | spl0_95 ),
    inference(avatar_split_clause,[],[f1629,f762,f421,f757,f951]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f347]) ).

cnf(s2,plain,
    ( spl0_2
    | spl0_3
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f354]) ).

cnf(s3,plain,
    ( spl0_3
    | spl0_5
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f361]) ).

cnf(s4,plain,
    ( spl0_3
    | spl0_9
    | spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f371]) ).

cnf(s5,plain,
    ( spl0_3
    | spl0_9
    | spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f378]) ).

cnf(s7,plain,
    ( spl0_3
    | spl0_13
    | spl0_14
    | spl0_17 ),
    inference(sat_conversion,[],[f392]) ).

cnf(s9,plain,
    ( spl0_3
    | spl0_20
    | spl0_21
    | spl0_22 ),
    inference(sat_conversion,[],[f411]) ).

cnf(s10,plain,
    ( spl0_3
    | spl0_13
    | ~ spl0_23
    | spl0_24 ),
    inference(sat_conversion,[],[f419]) ).

cnf(s11,plain,
    ( spl0_3
    | spl0_4
    | ~ spl0_23
    | spl0_25 ),
    inference(sat_conversion,[],[f423]) ).

cnf(s12,plain,
    ( spl0_3
    | spl0_5
    | spl0_7
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f428]) ).

cnf(s15,plain,
    ( spl0_3
    | spl0_5
    | spl0_16
    | spl0_31 ),
    inference(sat_conversion,[],[f449]) ).

cnf(s17,plain,
    ( spl0_3
    | spl0_22
    | spl0_25
    | spl0_32 ),
    inference(sat_conversion,[],[f455]) ).

cnf(s18,plain,
    ( spl0_3
    | spl0_19
    | spl0_25
    | spl0_33 ),
    inference(sat_conversion,[],[f460]) ).

cnf(s25,plain,
    ( spl0_3
    | spl0_5
    | spl0_14
    | ~ spl0_40 ),
    inference(sat_conversion,[],[f492]) ).

cnf(s32,plain,
    ( spl0_3
    | spl0_19
    | spl0_32
    | ~ spl0_40 ),
    inference(sat_conversion,[],[f535]) ).

cnf(s33,plain,
    ( spl0_3
    | spl0_19
    | spl0_43
    | spl0_51 ),
    inference(sat_conversion,[],[f540]) ).

cnf(s35,plain,
    ( spl0_3
    | spl0_9
    | ~ spl0_52
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f550]) ).

cnf(s36,plain,
    ( spl0_3
    | spl0_16
    | spl0_43
    | ~ spl0_52 ),
    inference(sat_conversion,[],[f551]) ).

cnf(s37,plain,
    ( spl0_3
    | spl0_15
    | spl0_32
    | ~ spl0_54 ),
    inference(sat_conversion,[],[f556]) ).

cnf(s39,plain,
    ( spl0_3
    | spl0_15
    | ~ spl0_23
    | spl0_55 ),
    inference(sat_conversion,[],[f562]) ).

cnf(s43,plain,
    ( spl0_3
    | spl0_12
    | spl0_46
    | ~ spl0_58 ),
    inference(sat_conversion,[],[f578]) ).

cnf(s47,plain,
    ( spl0_3
    | spl0_17
    | ~ spl0_26
    | spl0_32 ),
    inference(sat_conversion,[],[f593]) ).

cnf(s51,plain,
    ( ~ spl0_32
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f605]) ).

cnf(s52,plain,
    ( spl0_40
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f610]) ).

cnf(s53,plain,
    ( ~ spl0_43
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f615]) ).

cnf(s56,plain,
    ( spl0_52
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f630]) ).

cnf(s57,plain,
    ( spl0_26
    | spl0_69 ),
    inference(sat_conversion,[],[f635]) ).

cnf(s60,plain,
    ( spl0_61
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f650]) ).

cnf(s61,plain,
    ( spl0_61
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s63,plain,
    ( spl0_37
    | spl0_75 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s64,plain,
    ( spl0_37
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f670]) ).

cnf(s68,plain,
    ( ~ spl0_57
    | spl0_80 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s72,plain,
    ( ~ spl0_31
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f710]) ).

cnf(s73,plain,
    ( ~ spl0_31
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f715]) ).

cnf(s77,plain,
    ( spl0_53
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s78,plain,
    ( ~ spl0_20
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f740]) ).

cnf(s82,plain,
    ( ~ spl0_49
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f760]) ).

cnf(s83,plain,
    ( ~ spl0_49
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f765]) ).

cnf(s87,plain,
    ( ~ spl0_55
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f785]) ).

cnf(s88,plain,
    ( spl0_54
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f790]) ).

cnf(s89,plain,
    ( ~ spl0_33
    | spl0_101 ),
    inference(sat_conversion,[],[f795]) ).

cnf(s90,plain,
    ( ~ spl0_33
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f800]) ).

cnf(s91,plain,
    ( ~ spl0_51
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f805]) ).

cnf(s92,plain,
    ( ~ spl0_51
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f810]) ).

cnf(s93,plain,
    ( spl0_29
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s97,plain,
    ( ~ spl0_32
    | spl0_110 ),
    inference(sat_conversion,[],[f839]) ).

cnf(s98,plain,
    ( ~ spl0_32
    | spl0_111 ),
    inference(sat_conversion,[],[f844]) ).

cnf(s99,plain,
    ( spl0_40
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f849]) ).

cnf(s100,plain,
    ( spl0_40
    | spl0_113 ),
    inference(sat_conversion,[],[f854]) ).

cnf(s101,plain,
    ( ~ spl0_43
    | spl0_114 ),
    inference(sat_conversion,[],[f859]) ).

cnf(s102,plain,
    ( ~ spl0_43
    | spl0_115 ),
    inference(sat_conversion,[],[f864]) ).

cnf(s104,plain,
    ( spl0_52
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f874]) ).

cnf(s105,plain,
    ( spl0_52
    | spl0_118 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s106,plain,
    ( spl0_26
    | spl0_119 ),
    inference(sat_conversion,[],[f884]) ).

cnf(s107,plain,
    ( spl0_26
    | spl0_120 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s109,plain,
    ( spl0_61
    | spl0_122 ),
    inference(sat_conversion,[],[f899]) ).

cnf(s112,plain,
    ( spl0_37
    | spl0_125 ),
    inference(sat_conversion,[],[f914]) ).

cnf(s113,plain,
    ( ~ spl0_57
    | spl0_126 ),
    inference(sat_conversion,[],[f919]) ).

cnf(s114,plain,
    ( ~ spl0_57
    | spl0_127 ),
    inference(sat_conversion,[],[f924]) ).

cnf(s116,plain,
    ( spl0_53
    | spl0_129 ),
    inference(sat_conversion,[],[f934]) ).

cnf(s117,plain,
    ( spl0_53
    | spl0_130 ),
    inference(sat_conversion,[],[f939]) ).

cnf(s118,plain,
    ( ~ spl0_20
    | spl0_131 ),
    inference(sat_conversion,[],[f944]) ).

cnf(s120,plain,
    ( ~ spl0_49
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f954]) ).

cnf(s121,plain,
    ( ~ spl0_55
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f959]) ).

cnf(s122,plain,
    ( ~ spl0_55
    | spl0_135 ),
    inference(sat_conversion,[],[f964]) ).

cnf(s123,plain,
    ( spl0_54
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f969]) ).

cnf(s124,plain,
    ( spl0_54
    | spl0_137 ),
    inference(sat_conversion,[],[f974]) ).

cnf(s125,plain,
    ( ~ spl0_33
    | spl0_138 ),
    inference(sat_conversion,[],[f979]) ).

cnf(s126,plain,
    ( ~ spl0_51
    | spl0_139 ),
    inference(sat_conversion,[],[f984]) ).

cnf(s127,plain,
    ( spl0_29
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f989]) ).

cnf(s128,plain,
    ( spl0_29
    | spl0_141 ),
    inference(sat_conversion,[],[f994]) ).

cnf(s132,plain,
    ( ~ spl0_46
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1014]) ).

cnf(s133,plain,
    ( ~ spl0_46
    | spl0_146 ),
    inference(sat_conversion,[],[f1019]) ).

cnf(s134,plain,
    ( ~ spl0_46
    | spl0_147 ),
    inference(sat_conversion,[],[f1024]) ).

cnf(s135,plain,
    ( spl0_58
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1029]) ).

cnf(s136,plain,
    ( spl0_58
    | spl0_149 ),
    inference(sat_conversion,[],[f1034]) ).

cnf(s137,plain,
    ( spl0_58
    | spl0_150 ),
    inference(sat_conversion,[],[f1039]) ).

cnf(s138,plain,
    ( spl0_23
    | spl0_151 ),
    inference(sat_conversion,[],[f1044]) ).

cnf(s139,plain,
    ( spl0_23
    | spl0_152 ),
    inference(sat_conversion,[],[f1049]) ).

cnf(s140,plain,
    ( spl0_23
    | spl0_153 ),
    inference(sat_conversion,[],[f1054]) ).

cnf(s141,plain,
    ( spl0_62
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1059]) ).

cnf(s142,plain,
    ( spl0_62
    | spl0_155 ),
    inference(sat_conversion,[],[f1064]) ).

cnf(s143,plain,
    ( spl0_62
    | spl0_156 ),
    inference(sat_conversion,[],[f1069]) ).

cnf(s145,plain,
    ( ~ spl0_29
    | spl0_43
    | spl0_51 ),
    inference(sat_conversion,[],[f1071]) ).

cnf(s147,plain,
    ( spl0_46
    | ~ spl0_61
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f1073]) ).

cnf(s148,plain,
    ( spl0_43
    | spl0_49
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f1074]) ).

cnf(s151,plain,
    ( ~ spl0_37
    | ~ spl0_58
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f1077]) ).

cnf(s152,plain,
    ( ~ spl0_37
    | ~ spl0_40
    | ~ spl0_58 ),
    inference(sat_conversion,[],[f1078]) ).

cnf(s155,plain,
    ( ~ spl0_3
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f1081]) ).

cnf(s171,plain,
    ( ~ spl0_3
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1097]) ).

cnf(s183,plain,
    ( ~ spl0_3
    | spl0_62 ),
    inference(sat_conversion,[],[f1109]) ).

cnf(s184,plain,
    ( spl0_33
    | spl0_57 ),
    inference(sat_conversion,[],[f1110]) ).

cnf(s203,plain,
    ( ~ spl0_12
    | spl0_72
    | spl0_73
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f1280]) ).

cnf(s204,plain,
    ( ~ spl0_7
    | spl0_145
    | ~ spl0_146
    | spl0_172 ),
    inference(sat_conversion,[],[f1281]) ).

cnf(s205,plain,
    ( ~ spl0_12
    | spl0_76
    | ~ spl0_125
    | spl0_168 ),
    inference(sat_conversion,[],[f1289]) ).

cnf(s206,plain,
    ( ~ spl0_2
    | spl0_145
    | ~ spl0_147
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1294]) ).

cnf(s209,plain,
    ( ~ spl0_8
    | ~ spl0_69
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1298]) ).

cnf(s211,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_24 ),
    inference(sat_conversion,[],[f1323]) ).

cnf(s214,plain,
    ( ~ spl0_2
    | ~ spl0_129
    | ~ spl0_130
    | spl0_173 ),
    inference(sat_conversion,[],[f1334]) ).

cnf(s225,plain,
    ( ~ spl0_14
    | spl0_94
    | spl0_95
    | spl0_169 ),
    inference(sat_conversion,[],[f1393]) ).

cnf(s232,plain,
    ( ~ spl0_2
    | spl0_11
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f1422]) ).

cnf(s233,plain,
    ( ~ spl0_12
    | spl0_99
    | ~ spl0_135
    | spl0_160 ),
    inference(sat_conversion,[],[f1427]) ).

cnf(s234,plain,
    ( ~ spl0_11
    | spl0_140
    | ~ spl0_141
    | spl0_161 ),
    inference(sat_conversion,[],[f1428]) ).

cnf(s239,plain,
    ( ~ spl0_5
    | spl0_105
    | ~ spl0_141
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1433]) ).

cnf(s249,plain,
    ( ~ spl0_10
    | spl0_90
    | ~ spl0_131
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f1468]) ).

cnf(s253,plain,
    ( ~ spl0_12
    | ~ spl0_14
    | spl0_84
    | spl0_85 ),
    inference(sat_conversion,[],[f1509]) ).

cnf(s266,plain,
    ( ~ spl0_17
    | spl0_68
    | ~ spl0_118
    | spl0_166 ),
    inference(sat_conversion,[],[f1554]) ).

cnf(s272,plain,
    ( ~ spl0_19
    | spl0_68
    | spl0_117
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f1575]) ).

cnf(s285,plain,
    ( ~ spl0_5
    | spl0_8
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f1604]) ).

cnf(s292,plain,
    ( ~ spl0_2
    | spl0_11
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f1646]) ).

cnf(s293,plain,
    ( ~ spl0_10
    | ~ spl0_101
    | spl0_102
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f1647]) ).

cnf(s297,plain,
    ( ~ spl0_7
    | spl0_100
    | spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1651]) ).

cnf(s301,plain,
    ( ~ spl0_16
    | spl0_89
    | ~ spl0_130
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1655]) ).

cnf(s305,plain,
    ( ~ spl0_2
    | ~ spl0_19
    | spl0_24 ),
    inference(sat_conversion,[],[f1659]) ).

cnf(s307,plain,
    ( ~ spl0_19
    | spl0_90
    | ~ spl0_131
    | spl0_176 ),
    inference(sat_conversion,[],[f1661]) ).

cnf(s320,plain,
    ( ~ spl0_1
    | ~ spl0_149
    | ~ spl0_150
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1692]) ).

cnf(s332,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | spl0_24 ),
    inference(sat_conversion,[],[f1752]) ).

cnf(s335,plain,
    ( ~ spl0_6
    | spl0_76
    | ~ spl0_125
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1755]) ).

cnf(s341,plain,
    ( ~ spl0_15
    | spl0_105
    | ~ spl0_141
    | spl0_161 ),
    inference(sat_conversion,[],[f1761]) ).

cnf(s345,plain,
    ( ~ spl0_25
    | spl0_105
    | spl0_140
    | spl0_161 ),
    inference(sat_conversion,[],[f1765]) ).

cnf(s354,plain,
    ( ~ spl0_2
    | spl0_148
    | ~ spl0_149
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1773]) ).

cnf(s359,plain,
    ( ~ spl0_5
    | spl0_65
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f1778]) ).

cnf(s361,plain,
    ( ~ spl0_11
    | spl0_94
    | spl0_133
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1780]) ).

cnf(s364,plain,
    ( ~ spl0_11
    | spl0_64
    | spl0_112
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f1783]) ).

cnf(s365,plain,
    ( ~ spl0_16
    | ~ spl0_75
    | spl0_76
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1784]) ).

cnf(s366,plain,
    ( ~ spl0_24
    | spl0_154
    | ~ spl0_155
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1785]) ).

cnf(s370,plain,
    ( ~ spl0_24
    | spl0_117
    | ~ spl0_118
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1789]) ).

cnf(s374,plain,
    ( ~ spl0_6
    | ~ spl0_149
    | ~ spl0_150
    | spl0_162 ),
    inference(sat_conversion,[],[f1793]) ).

cnf(s380,plain,
    ( ~ spl0_11
    | spl0_103
    | ~ spl0_139
    | spl0_174 ),
    inference(sat_conversion,[],[f1849]) ).

cnf(s382,plain,
    ( ~ spl0_4
    | spl0_148
    | ~ spl0_149
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1851]) ).

cnf(s383,plain,
    ( ~ spl0_4
    | spl0_145
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1852]) ).

cnf(s384,plain,
    ( ~ spl0_4
    | spl0_134
    | ~ spl0_135
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1853]) ).

cnf(s388,plain,
    ( ~ spl0_9
    | ~ spl0_146
    | ~ spl0_147
    | spl0_172 ),
    inference(sat_conversion,[],[f1857]) ).

cnf(s392,plain,
    ( ~ spl0_11
    | spl0_148
    | ~ spl0_150
    | spl0_162 ),
    inference(sat_conversion,[],[f1861]) ).

cnf(s393,plain,
    ( ~ spl0_24
    | spl0_148
    | ~ spl0_150
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1862]) ).

cnf(s404,plain,
    ( ~ spl0_13
    | spl0_104
    | ~ spl0_139
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f1910]) ).

cnf(s405,plain,
    ( ~ spl0_4
    | spl0_7
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f1958]) ).

cnf(s406,plain,
    ( ~ spl0_21
    | spl0_104
    | ~ spl0_139
    | spl0_174 ),
    inference(sat_conversion,[],[f1993]) ).

cnf(s411,plain,
    ( ~ spl0_24
    | spl0_140
    | ~ spl0_141
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1998]) ).

cnf(s412,plain,
    ( ~ spl0_21
    | spl0_105
    | spl0_140
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f2006]) ).

cnf(s413,plain,
    ( ~ spl0_1
    | ~ spl0_151
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f2007]) ).

cnf(s414,plain,
    ( ~ spl0_1
    | ~ spl0_146
    | ~ spl0_147
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2008]) ).

cnf(s420,plain,
    ( ~ spl0_9
    | spl0_63
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f2014]) ).

cnf(s424,plain,
    ( ~ spl0_15
    | spl0_103
    | spl0_104
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f2018]) ).

cnf(s429,plain,
    ( ~ spl0_22
    | ~ spl0_80
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f2023]) ).

cnf(s431,plain,
    ( ~ spl0_25
    | spl0_103
    | spl0_104
    | spl0_174 ),
    inference(sat_conversion,[],[f2025]) ).

cnf(s432,plain,
    ( ~ spl0_25
    | spl0_94
    | spl0_95
    | spl0_133 ),
    inference(sat_conversion,[],[f2026]) ).

cnf(s434,plain,
    ( spl0_7
    | spl0_5
    | spl0_3 ),
    inference(rat,[],[s209,s57,s106,s107,s3,s12]) ).

cnf(s435,plain,
    ( spl0_26
    | ~ spl0_8 ),
    inference(rat,[],[s209,s57,s106,s107]) ).

cnf(s436,plain,
    ( spl0_40
    | ~ spl0_11 ),
    inference(rat,[],[s364,s52,s99,s100]) ).

cnf(s438,plain,
    ( ~ spl0_51
    | ~ spl0_13
    | ~ spl0_11 ),
    inference(rat,[],[s380,s404,s91,s92,s126]) ).

cnf(s440,plain,
    ( spl0_58
    | ~ spl0_6
    | ~ spl0_4 ),
    inference(rat,[],[s382,s374,s135,s136,s137]) ).

cnf(s441,plain,
    ( ~ spl0_46
    | ~ spl0_4 ),
    inference(rat,[],[s383,s132,s133,s134]) ).

cnf(s442,plain,
    ( spl0_37
    | ~ spl0_12
    | ~ spl0_6 ),
    inference(rat,[],[s205,s335,s64,s112]) ).

cnf(s443,plain,
    ( ~ spl0_6
    | ~ spl0_4
    | spl0_3 ),
    inference(rat,[],[s203,s60,s61,s109,s151,s442,s43,s440,s441]) ).

cnf(s444,plain,
    ( ~ spl0_43
    | ~ spl0_5 ),
    inference(rat,[],[s359,s53,s101,s102]) ).

cnf(s448,plain,
    ( ~ spl0_33
    | ~ spl0_10 ),
    inference(rat,[],[s293,s89,s90,s125]) ).

cnf(s449,plain,
    ( ~ spl0_10
    | spl0_21
    | ~ spl0_19
    | spl0_3 ),
    inference(rat,[],[s249,s307,s78,s118,s9,s429,s68,s113,s114,s184,s448]) ).

cnf(s450,plain,
    ( ~ spl0_32
    | ~ spl0_9 ),
    inference(rat,[],[s420,s51,s97,s98]) ).

cnf(s451,plain,
    ( spl0_51
    | spl0_11
    | ~ spl0_5
    | ~ spl0_4
    | spl0_3 ),
    inference(rat,[],[s47,s405,s435,s297,s285,s88,s123,s124,s17,s37,s450,s4,s449,s341,s345,s412,s411,s93,s127,s128,s145,s33,s332,s444]) ).

cnf(s452,plain,
    ( spl0_9
    | spl0_103
    | spl0_104
    | ~ spl0_139
    | spl0_11
    | spl0_12
    | spl0_3 ),
    inference(rat,[],[s449,s18,s406,s431,s448,s404,s4,s5]) ).

cnf(s454,plain,
    ( spl0_62
    | ~ spl0_24 ),
    inference(rat,[],[s366,s141,s142,s143]) ).

cnf(s455,plain,
    ( spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s47,s405,s435,s297,s285,s88,s123,s124,s17,s37,s450,s452,s424,s91,s92,s126,s451,s392,s382,s135,s136,s137,s43,s203,s432,s60,s61,s109,s82,s83,s120,s147,s148,s454,s444,s332,s2,s443,s441,s1]) ).

cnf(s456,plain,
    ~ spl0_3,
    inference(rat,[],[s148,s155,s171,s183]) ).

cnf(s457,plain,
    ( spl0_58
    | ~ spl0_2 ),
    inference(rat,[],[s354,s135,s136,s137]) ).

cnf(s458,plain,
    ( spl0_46
    | ~ spl0_62
    | ~ spl0_58 ),
    inference(rat,[],[s203,s60,s61,s109,s43,s147,s456]) ).

cnf(s459,plain,
    ( ~ spl0_51
    | ~ spl0_139
    | spl0_12
    | spl0_11
    | spl0_9 ),
    inference(rat,[],[s452,s91,s92,s456]) ).

cnf(s462,plain,
    ( spl0_52
    | ~ spl0_19 ),
    inference(rat,[],[s272,s56,s104,s105]) ).

cnf(s463,plain,
    ( ~ spl0_52
    | ~ spl0_5
    | ~ spl0_2 ),
    inference(rat,[],[s301,s214,s77,s116,s117,s36,s35,s444,s388,s206,s132,s134,s133,s458,s454,s211,s457,s456]) ).

cnf(s464,plain,
    ( ~ spl0_5
    | ~ spl0_2 ),
    inference(rat,[],[s7,s225,s438,s361,s4,s448,s18,s33,s266,s370,s462,s56,s104,s105,s463,s388,s206,s132,s133,s134,s458,s432,s82,s83,s120,s148,s454,s444,s211,s457,s456]) ).

cnf(s465,plain,
    ( spl0_54
    | ~ spl0_7 ),
    inference(rat,[],[s297,s88,s123,s124]) ).

cnf(s466,plain,
    ( ~ spl0_46
    | ~ spl0_2 ),
    inference(rat,[],[s206,s204,s132,s133,s134,s434,s464,s456]) ).

cnf(s467,plain,
    ( spl0_32
    | ~ spl0_2 ),
    inference(rat,[],[s436,s232,s32,s37,s465,s434,s464,s305,s454,s458,s466,s457,s456]) ).

cnf(s468,plain,
    ( spl0_11
    | ~ spl0_2 ),
    inference(rat,[],[s448,s18,s4,s292,s305,s454,s458,s466,s457,s450,s467,s456]) ).

cnf(s469,plain,
    ~ spl0_2,
    inference(rat,[],[s253,s72,s73,s15,s365,s205,s63,s64,s112,s152,s25,s436,s468,s43,s466,s464,s457,s456]) ).

cnf(s470,plain,
    spl0_1,
    inference(rat,[],[s455,s456,s469]) ).

cnf(s471,plain,
    ( ~ spl0_49
    | ~ spl0_25 ),
    inference(rat,[],[s432,s82,s83,s120]) ).

cnf(s472,plain,
    spl0_23,
    inference(rat,[],[s413,s138,s139,s140,s470]) ).

cnf(s473,plain,
    ( ~ spl0_25
    | ~ spl0_51
    | spl0_43 ),
    inference(rat,[],[s454,s10,s148,s404,s471,s431,s126,s92,s91,s472,s456]) ).

cnf(s474,plain,
    ( ~ spl0_51
    | spl0_32
    | ~ spl0_5 ),
    inference(rat,[],[s47,s435,s405,s285,s11,s17,s473,s465,s37,s424,s91,s92,s126,s444,s456,s472]) ).

cnf(s475,plain,
    ( spl0_51
    | ~ spl0_5 ),
    inference(rat,[],[s451,s11,s234,s345,s239,s93,s127,s128,s145,s444,s456,s472]) ).

cnf(s476,plain,
    ~ spl0_5,
    inference(rat,[],[s392,s393,s459,s135,s137,s233,s458,s384,s454,s87,s121,s122,s332,s441,s39,s450,s11,s424,s474,s473,s91,s92,s126,s475,s444,s472,s456]) ).

cnf(s477,plain,
    spl0_6,
    inference(rat,[],[s2,s456,s469,s476]) ).

cnf(s478,plain,
    spl0_7,
    inference(rat,[],[s434,s456,s476]) ).

cnf(s490,plain,
    ~ spl0_46,
    inference(rat,[],[s204,s414,s132,s133,s134,s478,s470]) ).

cnf(s501,plain,
    ( ~ spl0_149
    | ~ spl0_150 ),
    inference(rat,[],[s374,s320,s470,s477]) ).

cnf(s502,plain,
    spl0_58,
    inference(rat,[],[s501,s136,s137]) ).

cnf(s504,plain,
    spl0_12,
    inference(rat,[],[s43,s490,s456,s502]) ).

cnf(s508,plain,
    spl0_37,
    inference(rat,[],[s442,s477,s504]) ).

cnf(s509,plain,
    ~ spl0_61,
    inference(rat,[],[s151,s502,s508]) ).

cnf(s510,plain,
    spl0_122,
    inference(rat,[],[s109,s509]) ).

cnf(s511,plain,
    ~ spl0_73,
    inference(rat,[],[s61,s509]) ).

cnf(s512,plain,
    ~ spl0_72,
    inference(rat,[],[s60,s509]) ).

cnf(s513,plain,
    $false,
    inference(rat,[],[s203,s512,s504,s510,s511]) ).

fof(f2028,plain,
    $false,
    inference(avatar_sat_refutation,[],[s513]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN443-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18  % Computer : n016.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 16:08:03 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21  Running first-order model finding
% 0.08/0.21  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.28  % (3735830)Will run a generic schedule for satisfiability detection.
% 0.23/0.28  % (3735840)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2683941573:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.23/0.28  % (3735836)% WARNING: option uhcvi not known.
% 0.23/0.28  % (3735836)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2987478194:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.23/0.28  % (3735835)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3226523942_2999 on theBenchmark for (2999ds/0Mi)
% 0.23/0.28  % (3735837)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3267969049:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.23/0.28  % (3735838)dis+10_1_sil=32000:sp=arity:random_seed=193442809:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.23/0.28  % (3735839)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4176942545:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.23/0.28  % (3735841)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2136160405:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.23/0.28  % Detected minimum model sizes of [1]
% 0.23/0.28  % Detected maximum model sizes of [31]
% 0.23/0.28  % TRYING [1]
% 0.23/0.28  % TRYING [2]
% 0.23/0.28  % TRYING [3]
% 0.23/0.28  % TRYING [4]
% 0.23/0.28  % (3735841) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3735830-3735841"...
% 0.23/0.28  % (3735840) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3735830-3735840"...
% 0.23/0.28  % (3735841)...printing done.
% 0.23/0.28  % (3735841)Refutation found. Thanks to Tanya!
% 0.23/0.28  % SZS status Unsatisfiable for theBenchmark
% 0.23/0.28  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.29  % (3735841)------------------------------
% 0.23/0.29  % (3735841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.29  % (3735841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.29  % (3735841)CaDiCaL version: 2.1.3
% 0.23/0.29  % (3735841)Termination reason: Refutation
% 0.23/0.29  % (3735841)Time elapsed: 0.025 s
% 0.23/0.29  % (3735841)Peak memory usage: 13 MB
% 0.23/0.29  % (3735841)Instructions burned: 37 (million)
% 0.23/0.29  % (3735830)Success in time 0.064 s
% 0.23/0.29  % Vampire exiting
%------------------------------------------------------------------------------