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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN509-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n008.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 02:00:13 PM UTC 2026

% Result   : Unsatisfiable 2.67s 1.12s
% Output   : Refutation 3.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :  240
% Syntax   : Number of formulae    :  784 (  26 unt; 127 def)
%            Number of atoms       : 2494 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3033 (1323   ~;1583   |;   0   &)
%                                         ( 127 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  155 ( 154 usr; 151 prp; 0-1 aty)
%            Number of functors    :   22 (  22 usr;  22 con; 0-0 aty)
%            Number of variables   :  143 (   0 sgn 143   !;   0   ?)

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

fof(f7,negated_conjecture,
    ( ~ hskp24
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).

fof(f17,negated_conjecture,
    ( ~ hskp14
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).

fof(f32,negated_conjecture,
    ( hskp30
    | hskp14
    | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f33,negated_conjecture,
    ( hskp14
    | hskp19
    | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f34,negated_conjecture,
    ( hskp17
    | hskp10
    | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f36,negated_conjecture,
    ( hskp24
    | hskp12
    | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f38,negated_conjecture,
    ( ~ hskp30
    | c0_1(a456) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ( ~ hskp30
    | c1_1(a456) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ( ~ hskp30
    | c2_1(a456) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ( ~ hskp29
    | c1_1(a447) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( ~ hskp29
    | c2_1(a447) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( ~ hskp29
    | c3_1(a447) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp28
    | c0_1(a437) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp28
    | c2_1(a437) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp28
    | c3_1(a437) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp26
    | c1_1(a492) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp26
    | c2_1(a492) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp25
    | c2_1(a489) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( ~ hskp25
    | c3_1(a489) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp24
    | c1_1(a486) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp24
    | c2_1(a486) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( ~ hskp23
    | c1_1(a484) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f57,negated_conjecture,
    ( ~ hskp20
    | c0_1(a472) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( ~ hskp20
    | c3_1(a472) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp19
    | c0_1(a467) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp17
    | c0_1(a463) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp17
    | c2_1(a463) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp16
    | c1_1(a457) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp16
    | c3_1(a457) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f65,negated_conjecture,
    ( ~ hskp14
    | c0_1(a452) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( ~ hskp14
    | c1_1(a452) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( ~ hskp13
    | c2_1(a451) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp13
    | c3_1(a451) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp12
    | c1_1(a450) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp12
    | c3_1(a450) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp11
    | c2_1(a449) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp10
    | c1_1(a448) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp8
    | c2_1(a444) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp7
    | c3_1(a443) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f80,negated_conjecture,
    ( ~ hskp3
    | c1_1(a435) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f82,negated_conjecture,
    ( ~ hskp0
    | c3_1(a432) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f86,negated_conjecture,
    ( ~ c3_1(a492)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ c0_1(a489)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ c0_1(a486)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ c2_1(a484)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ c3_1(a484)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f94,negated_conjecture,
    ( ~ c2_1(a472)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ c1_1(a467)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ c2_1(a467)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f100,negated_conjecture,
    ( ~ c1_1(a463)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ c2_1(a457)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f104,negated_conjecture,
    ( ~ c2_1(a452)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ c1_1(a451)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c0_1(a450)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c1_1(a449)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c3_1(a449)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ c0_1(a448)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c2_1(a448)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ c0_1(a445)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ c1_1(a445)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ c3_1(a445)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c0_1(a444)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c3_1(a444)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c1_1(a443)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c2_1(a443)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f122,negated_conjecture,
    ( ~ c0_1(a435)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ c3_1(a435)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f126,negated_conjecture,
    ( ~ c0_1(a433)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ c1_1(a433)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ c2_1(a433)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ c0_1(a432)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ c2_1(a432)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f132,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp28
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f138,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp30
      | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f141,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp19
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp23
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp8
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f147,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp26
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp29
      | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f149,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp30
      | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f150,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp14
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f151,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp28
      | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f152,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp24
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f154,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp12
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f155,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp29
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f158,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f161,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f164,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f165,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f166,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

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

fof(f172,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f175,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f180,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f186,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

fof(f187,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

fof(f189,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c2_1(X1)
      | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).

fof(f190,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c2_1(X1)
      | hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).

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

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

fof(f194,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c2_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)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).

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

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

fof(f197,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | c1_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).

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

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

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

fof(f201,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause201) ).

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

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

fof(f206,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f207,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f209,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f210,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f212,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f215,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f216,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f217,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f204,f215,f212,f209,f206]) ).

fof(f219,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f220,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f222,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f223,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f224,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f203,f215,f212,f222,f219]) ).

fof(f226,definition,
    ( spl0_7
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f227,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f229,definition,
    ( spl0_8
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f230,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f233,definition,
    ( spl0_9
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f234,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f236,definition,
    ( spl0_10
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f237,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f238,plain,
    ( spl0_9
    | spl0_10
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f201,f215,f212,f236,f233]) ).

fof(f240,definition,
    ( spl0_11
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f241,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f243,definition,
    ( spl0_12
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f244,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f245,plain,
    ( spl0_11
    | spl0_10
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f200,f243,f212,f236,f240]) ).

fof(f247,definition,
    ( spl0_13
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f248,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f250,definition,
    ( spl0_14
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f251,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f253,definition,
    ( spl0_15
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f254,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f255,plain,
    ( spl0_13
    | spl0_14
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f199,f253,f212,f250,f247]) ).

fof(f257,definition,
    ( spl0_16
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f258,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f259,plain,
    ( spl0_9
    | spl0_16
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f198,f222,f212,f257,f233]) ).

fof(f261,definition,
    ( spl0_17
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f262,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | ~ c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f264,definition,
    ( spl0_18
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f265,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f266,plain,
    ( spl0_17
    | spl0_18
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f197,f250,f212,f264,f261]) ).

fof(f268,definition,
    ( spl0_19
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f269,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f271,definition,
    ( spl0_20
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f272,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f273,plain,
    ( spl0_11
    | spl0_19
    | ~ spl0_3
    | spl0_20 ),
    inference(avatar_split_clause,[],[f196,f271,f212,f268,f240]) ).

fof(f274,plain,
    ( spl0_7
    | spl0_5
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f195,f222,f212,f219,f226]) ).

fof(f276,definition,
    ( spl0_21
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f277,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f278,plain,
    ( spl0_9
    | spl0_18
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f194,f276,f212,f264,f233]) ).

fof(f280,definition,
    ( spl0_22
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f281,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f287,definition,
    ( spl0_24
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f288,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f287]) ).

fof(f289,plain,
    ( spl0_17
    | spl0_9
    | ~ spl0_3
    | spl0_24 ),
    inference(avatar_split_clause,[],[f192,f287,f212,f233,f261]) ).

fof(f291,definition,
    ( spl0_25
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f292,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f291]) ).

fof(f294,definition,
    ( spl0_26
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f295,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f296,plain,
    ( spl0_25
    | spl0_26
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f191,f243,f212,f294,f291]) ).

fof(f298,definition,
    ( spl0_27
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f300,plain,
    ( spl0_27
    | spl0_16
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f190,f215,f212,f257,f298]) ).

fof(f302,definition,
    ( spl0_28
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f304,plain,
    ( spl0_28
    | spl0_15
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f189,f215,f212,f253,f302]) ).

fof(f306,definition,
    ( spl0_29
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f310,definition,
    ( spl0_30
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f312,plain,
    ( spl0_30
    | spl0_22
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f187,f222,f212,f280,f310]) ).

fof(f314,definition,
    ( spl0_31
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f315,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f316,plain,
    ( spl0_27
    | spl0_14
    | ~ spl0_3
    | spl0_31 ),
    inference(avatar_split_clause,[],[f186,f314,f212,f250,f298]) ).

fof(f318,definition,
    ( spl0_32
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f325,definition,
    ( spl0_34
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f336,plain,
    ( spl0_30
    | spl0_18
    | ~ spl0_3
    | spl0_24 ),
    inference(avatar_split_clause,[],[f181,f287,f212,f264,f310]) ).

fof(f338,definition,
    ( spl0_37
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f340,plain,
    ( spl0_37
    | spl0_7
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f180,f229,f212,f226,f338]) ).

fof(f342,definition,
    ( spl0_38
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f345,definition,
    ( spl0_39
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f346,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f349,definition,
    ( spl0_40
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f353,definition,
    ( spl0_41
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f360,definition,
    ( spl0_43
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f362,plain,
    ( spl0_43
    | spl0_1
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f176,f236,f212,f206,f360]) ).

fof(f364,definition,
    ( spl0_44
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f366,plain,
    ( spl0_44
    | spl0_24
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f175,f206,f212,f287,f364]) ).

fof(f368,definition,
    ( spl0_45
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f373,definition,
    ( spl0_46
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f375,plain,
    ( spl0_46
    | spl0_7
    | ~ spl0_3
    | spl0_24 ),
    inference(avatar_split_clause,[],[f172,f287,f212,f226,f373]) ).

fof(f377,definition,
    ( spl0_47
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f385,plain,
    ( spl0_47
    | spl0_13
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f168,f219,f212,f247,f377]) ).

fof(f391,definition,
    ( spl0_50
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f393,plain,
    ( spl0_50
    | spl0_9
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f166,f226,f212,f233,f391]) ).

fof(f395,definition,
    ( spl0_51
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f397,plain,
    ( spl0_51
    | spl0_39
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f165,f206,f212,f345,f395]) ).

fof(f399,definition,
    ( spl0_52
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f401,plain,
    ( spl0_52
    | spl0_39
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f164,f247,f212,f345,f399]) ).

fof(f407,plain,
    ( spl0_43
    | spl0_26
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f161,f236,f212,f294,f360]) ).

fof(f414,definition,
    ( spl0_55
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f416,plain,
    ( spl0_55
    | spl0_25
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f158,f226,f212,f291,f414]) ).

fof(f423,definition,
    ( spl0_57
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f425,plain,
    ( spl0_55
    | spl0_57
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f155,f243,f212,f423,f414]) ).

fof(f426,plain,
    ( spl0_43
    | spl0_51
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f154,f215,f212,f395,f360]) ).

fof(f431,definition,
    ( spl0_59
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f434,plain,
    ( spl0_30
    | spl0_41
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f152,f215,f212,f353,f310]) ).

fof(f435,plain,
    ( spl0_28
    | spl0_47
    | ~ spl0_3
    | spl0_20 ),
    inference(avatar_split_clause,[],[f151,f271,f212,f377,f302]) ).

fof(f436,plain,
    ( spl0_51
    | spl0_46
    | ~ spl0_3
    | spl0_31 ),
    inference(avatar_split_clause,[],[f150,f314,f212,f373,f395]) ).

fof(f437,plain,
    ( spl0_59
    | spl0_29
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f149,f257,f212,f306,f431]) ).

fof(f438,plain,
    ( spl0_37
    | spl0_57
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f148,f236,f212,f423,f338]) ).

fof(f439,plain,
    ( spl0_30
    | spl0_59
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f147,f250,f212,f431,f310]) ).

fof(f444,plain,
    ( spl0_55
    | spl0_30
    | ~ spl0_3
    | spl0_24 ),
    inference(avatar_split_clause,[],[f145,f287,f212,f310,f414]) ).

fof(f453,definition,
    ( spl0_63
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f455,plain,
    ( spl0_63
    | spl0_32
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f143,f276,f212,f318,f453]) ).

fof(f457,plain,
    ( spl0_34
    | spl0_28
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f141,f226,f212,f302,f325]) ).

fof(f463,plain,
    ( spl0_37
    | spl0_29
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f138,f261,f212,f306,f338]) ).

fof(f469,plain,
    ( spl0_55
    | spl0_47
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f132,f240,f212,f377,f414]) ).

fof(f473,definition,
    ( spl0_65
  <=> c2_1(a432) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f474,plain,
    ( ~ c2_1(a432)
    | spl0_65 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f475,plain,
    ( ~ spl0_55
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f130,f473,f414]) ).

fof(f477,definition,
    ( spl0_66
  <=> c0_1(a432) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f479,plain,
    ( ~ spl0_55
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f129,f477,f414]) ).

fof(f482,definition,
    ( spl0_67
  <=> c2_1(a433) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f484,plain,
    ( ~ spl0_34
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f128,f482,f325]) ).

fof(f486,definition,
    ( spl0_68
  <=> c1_1(a433) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f487,plain,
    ( ~ c1_1(a433)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f488,plain,
    ( ~ spl0_34
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f127,f486,f325]) ).

fof(f490,definition,
    ( spl0_69
  <=> c0_1(a433) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f492,plain,
    ( ~ spl0_34
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f126,f490,f325]) ).

fof(f504,definition,
    ( spl0_72
  <=> c3_1(a435) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f506,plain,
    ( ~ spl0_43
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f123,f504,f360]) ).

fof(f508,definition,
    ( spl0_73
  <=> c0_1(a435) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f510,plain,
    ( ~ spl0_43
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f122,f508,f360]) ).

fof(f532,definition,
    ( spl0_78
  <=> c2_1(a443) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f534,plain,
    ( ~ spl0_63
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f117,f532,f453]) ).

fof(f536,definition,
    ( spl0_79
  <=> c1_1(a443) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f537,plain,
    ( ~ c1_1(a443)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f538,plain,
    ( ~ spl0_63
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f116,f536,f453]) ).

fof(f541,definition,
    ( spl0_80
  <=> c3_1(a444) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f543,plain,
    ( ~ spl0_30
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f115,f541,f310]) ).

fof(f545,definition,
    ( spl0_81
  <=> c0_1(a444) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f547,plain,
    ( ~ spl0_30
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f114,f545,f310]) ).

fof(f550,definition,
    ( spl0_82
  <=> c3_1(a445) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f552,plain,
    ( ~ spl0_50
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f113,f550,f391]) ).

fof(f554,definition,
    ( spl0_83
  <=> c1_1(a445) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f555,plain,
    ( ~ c1_1(a445)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f556,plain,
    ( ~ spl0_50
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f112,f554,f391]) ).

fof(f558,definition,
    ( spl0_84
  <=> c0_1(a445) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f560,plain,
    ( ~ spl0_50
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f111,f558,f391]) ).

fof(f563,definition,
    ( spl0_85
  <=> c2_1(a448) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f565,plain,
    ( ~ spl0_40
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f110,f563,f349]) ).

fof(f567,definition,
    ( spl0_86
  <=> c0_1(a448) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f569,plain,
    ( ~ spl0_40
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f109,f567,f349]) ).

fof(f572,definition,
    ( spl0_87
  <=> c3_1(a449) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f574,plain,
    ( ~ spl0_52
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f108,f572,f399]) ).

fof(f576,definition,
    ( spl0_88
  <=> c1_1(a449) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f577,plain,
    ( ~ c1_1(a449)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f578,plain,
    ( ~ spl0_52
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f107,f576,f399]) ).

fof(f581,definition,
    ( spl0_89
  <=> c0_1(a450) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f583,plain,
    ( ~ spl0_51
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f106,f581,f395]) ).

fof(f586,definition,
    ( spl0_90
  <=> c1_1(a451) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f587,plain,
    ( ~ c1_1(a451)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f588,plain,
    ( ~ spl0_38
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f105,f586,f342]) ).

fof(f591,definition,
    ( spl0_91
  <=> c2_1(a452) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f592,plain,
    ( ~ c2_1(a452)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f593,plain,
    ( ~ spl0_46
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f104,f591,f373]) ).

fof(f605,definition,
    ( spl0_94
  <=> c2_1(a457) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f607,plain,
    ( ~ spl0_37
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f101,f605,f338]) ).

fof(f610,definition,
    ( spl0_95
  <=> c1_1(a463) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f611,plain,
    ( ~ c1_1(a463)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f612,plain,
    ( ~ spl0_45
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f100,f610,f368]) ).

fof(f628,definition,
    ( spl0_99
  <=> c2_1(a467) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f629,plain,
    ( ~ c2_1(a467)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f630,plain,
    ( ~ spl0_28
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f96,f628,f302]) ).

fof(f632,definition,
    ( spl0_100
  <=> c1_1(a467) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f633,plain,
    ( ~ c1_1(a467)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f634,plain,
    ( ~ spl0_28
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f95,f632,f302]) ).

fof(f637,definition,
    ( spl0_101
  <=> c2_1(a472) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f638,plain,
    ( ~ c2_1(a472)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f639,plain,
    ( ~ spl0_44
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f94,f637,f364]) ).

fof(f656,definition,
    ( spl0_105
  <=> c3_1(a484) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f658,plain,
    ( ~ spl0_32
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f90,f656,f318]) ).

fof(f660,definition,
    ( spl0_106
  <=> c2_1(a484) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f662,plain,
    ( ~ spl0_32
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f89,f660,f318]) ).

fof(f665,definition,
    ( spl0_107
  <=> c0_1(a486) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f667,plain,
    ( ~ spl0_41
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f88,f665,f353]) ).

fof(f670,definition,
    ( spl0_108
  <=> c0_1(a489) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f672,plain,
    ( ~ spl0_27
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f87,f670,f298]) ).

fof(f675,definition,
    ( spl0_109
  <=> c3_1(a492) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f677,plain,
    ( ~ spl0_59
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f86,f675,f431]) ).

fof(f692,definition,
    ( spl0_113
  <=> c3_1(a432) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f694,plain,
    ( spl0_113
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f82,f414,f692]) ).

fof(f700,definition,
    ( spl0_115
  <=> c1_1(a435) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f701,plain,
    ( c1_1(a435)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f702,plain,
    ( spl0_115
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f80,f360,f700]) ).

fof(f724,definition,
    ( spl0_121
  <=> c3_1(a443) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f726,plain,
    ( spl0_121
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f74,f453,f724]) ).

fof(f728,definition,
    ( spl0_122
  <=> c2_1(a444) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f729,plain,
    ( c2_1(a444)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f728]) ).

fof(f730,plain,
    ( spl0_122
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f73,f310,f728]) ).

fof(f732,definition,
    ( spl0_123
  <=> c1_1(a448) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f733,plain,
    ( c1_1(a448)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f734,plain,
    ( spl0_123
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f72,f349,f732]) ).

fof(f736,definition,
    ( spl0_124
  <=> c2_1(a449) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f738,plain,
    ( spl0_124
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f71,f399,f736]) ).

fof(f740,definition,
    ( spl0_125
  <=> c3_1(a450) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f742,plain,
    ( spl0_125
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f70,f395,f740]) ).

fof(f744,definition,
    ( spl0_126
  <=> c1_1(a450) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f745,plain,
    ( c1_1(a450)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f744]) ).

fof(f746,plain,
    ( spl0_126
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f69,f395,f744]) ).

fof(f748,definition,
    ( spl0_127
  <=> c3_1(a451) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f750,plain,
    ( spl0_127
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f68,f342,f748]) ).

fof(f752,definition,
    ( spl0_128
  <=> c2_1(a451) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f753,plain,
    ( c2_1(a451)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f754,plain,
    ( spl0_128
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f67,f342,f752]) ).

fof(f756,definition,
    ( spl0_129
  <=> c1_1(a452) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f757,plain,
    ( c1_1(a452)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f758,plain,
    ( spl0_129
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f66,f373,f756]) ).

fof(f760,definition,
    ( spl0_130
  <=> c0_1(a452) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f762,plain,
    ( spl0_130
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f65,f373,f760]) ).

fof(f768,definition,
    ( spl0_132
  <=> c3_1(a457) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f770,plain,
    ( spl0_132
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f63,f338,f768]) ).

fof(f772,definition,
    ( spl0_133
  <=> c1_1(a457) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f773,plain,
    ( c1_1(a457)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f774,plain,
    ( spl0_133
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f62,f338,f772]) ).

fof(f776,definition,
    ( spl0_134
  <=> c2_1(a463) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f777,plain,
    ( c2_1(a463)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f778,plain,
    ( spl0_134
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f61,f368,f776]) ).

fof(f780,definition,
    ( spl0_135
  <=> c0_1(a463) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f782,plain,
    ( spl0_135
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f60,f368,f780]) ).

fof(f784,definition,
    ( spl0_136
  <=> c0_1(a467) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f786,plain,
    ( spl0_136
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f59,f302,f784]) ).

fof(f788,definition,
    ( spl0_137
  <=> c3_1(a472) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f790,plain,
    ( spl0_137
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f58,f364,f788]) ).

fof(f792,definition,
    ( spl0_138
  <=> c0_1(a472) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f794,plain,
    ( spl0_138
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f57,f364,f792]) ).

fof(f808,definition,
    ( spl0_142
  <=> c1_1(a484) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f809,plain,
    ( c1_1(a484)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f808]) ).

fof(f810,plain,
    ( spl0_142
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f53,f318,f808]) ).

fof(f812,definition,
    ( spl0_143
  <=> c2_1(a486) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f813,plain,
    ( c2_1(a486)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f814,plain,
    ( spl0_143
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f52,f353,f812]) ).

fof(f816,definition,
    ( spl0_144
  <=> c1_1(a486) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f817,plain,
    ( c1_1(a486)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f818,plain,
    ( spl0_144
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f51,f353,f816]) ).

fof(f820,definition,
    ( spl0_145
  <=> c3_1(a489) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f822,plain,
    ( spl0_145
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f50,f298,f820]) ).

fof(f824,definition,
    ( spl0_146
  <=> c2_1(a489) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f825,plain,
    ( c2_1(a489)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f824]) ).

fof(f826,plain,
    ( spl0_146
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f49,f298,f824]) ).

fof(f828,definition,
    ( spl0_147
  <=> c2_1(a492) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f829,plain,
    ( c2_1(a492)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f830,plain,
    ( spl0_147
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f48,f431,f828]) ).

fof(f832,definition,
    ( spl0_148
  <=> c1_1(a492) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f833,plain,
    ( c1_1(a492)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f834,plain,
    ( spl0_148
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f47,f431,f832]) ).

fof(f836,definition,
    ( spl0_149
  <=> c3_1(a437) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f837,plain,
    ( c3_1(a437)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f839,plain,
    ( spl0_149
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f46,f377,f836]) ).

fof(f841,definition,
    ( spl0_150
  <=> c2_1(a437) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f842,plain,
    ( c2_1(a437)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f841]) ).

fof(f843,plain,
    ( spl0_150
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f45,f377,f841]) ).

fof(f845,definition,
    ( spl0_151
  <=> c0_1(a437) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f847,plain,
    ( spl0_151
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f44,f377,f845]) ).

fof(f849,definition,
    ( spl0_152
  <=> c3_1(a447) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f852,plain,
    ( spl0_152
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f43,f423,f849]) ).

fof(f854,definition,
    ( spl0_153
  <=> c2_1(a447) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f855,plain,
    ( c2_1(a447)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f856,plain,
    ( spl0_153
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f42,f423,f854]) ).

fof(f858,definition,
    ( spl0_154
  <=> c1_1(a447) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f859,plain,
    ( c1_1(a447)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f858]) ).

fof(f860,plain,
    ( spl0_154
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f41,f423,f858]) ).

fof(f862,definition,
    ( spl0_155
  <=> c2_1(a456) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f863,plain,
    ( c2_1(a456)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f862]) ).

fof(f865,plain,
    ( spl0_155
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f40,f306,f862]) ).

fof(f867,definition,
    ( spl0_156
  <=> c1_1(a456) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f868,plain,
    ( c1_1(a456)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f867]) ).

fof(f869,plain,
    ( spl0_156
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f39,f306,f867]) ).

fof(f871,definition,
    ( spl0_157
  <=> c0_1(a456) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f873,plain,
    ( spl0_157
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f38,f306,f871]) ).

fof(f875,plain,
    ( spl0_43
    | spl0_51
    | spl0_41 ),
    inference(avatar_split_clause,[],[f36,f353,f395,f360]) ).

fof(f877,plain,
    ( spl0_32
    | spl0_40
    | spl0_45 ),
    inference(avatar_split_clause,[],[f34,f368,f349,f318]) ).

fof(f878,plain,
    ( spl0_38
    | spl0_28
    | spl0_46 ),
    inference(avatar_split_clause,[],[f33,f373,f302,f342]) ).

fof(f879,plain,
    ( spl0_41
    | spl0_46
    | spl0_29 ),
    inference(avatar_split_clause,[],[f32,f306,f373,f353]) ).

fof(f895,plain,
    ( spl0_3
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f17,f373,f212]) ).

fof(f905,plain,
    ( spl0_3
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f7,f353,f212]) ).

fof(f911,plain,
    ( spl0_3
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f1,f306,f212]) ).

fof(f914,plain,
    ( ~ c3_1(a452)
    | ~ c0_1(a452)
    | ~ spl0_4
    | ~ spl0_129 ),
    inference(resolution,[],[f216,f757]) ).

fof(f917,definition,
    ( spl0_158
  <=> c3_1(a452) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f919,plain,
    ( ~ spl0_130
    | ~ spl0_158
    | ~ spl0_4
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f914,f756,f215,f917,f760]) ).

fof(f921,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(resolution,[],[f220,f216]) ).

fof(f922,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(duplicate_literal_removal,[],[f921]) ).

fof(f923,plain,
    ( spl0_15
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f922,f219,f215,f253]) ).

fof(f925,plain,
    ( c3_1(a452)
    | ~ c0_1(a452)
    | ~ spl0_6
    | ~ spl0_129 ),
    inference(resolution,[],[f223,f757]) ).

fof(f929,plain,
    ( ~ spl0_130
    | spl0_158
    | ~ spl0_6
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f925,f756,f222,f917,f760]) ).

fof(f949,definition,
    ( spl0_160
  <=> c2_1(a445) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f954,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4
    | ~ spl0_14 ),
    inference(resolution,[],[f251,f216]) ).

fof(f955,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f954]) ).

fof(f960,plain,
    ( c2_1(a457)
    | ~ c3_1(a457)
    | ~ spl0_16
    | ~ spl0_133 ),
    inference(resolution,[],[f258,f773]) ).

fof(f974,plain,
    ( ~ c0_1(a451)
    | ~ c3_1(a451)
    | ~ spl0_14
    | spl0_90 ),
    inference(resolution,[],[f587,f251]) ).

fof(f980,definition,
    ( spl0_162
  <=> c0_1(a451) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f985,plain,
    ( ~ c3_1(a451)
    | ~ c0_1(a451)
    | ~ spl0_12
    | ~ spl0_128 ),
    inference(resolution,[],[f753,f244]) ).

fof(f991,definition,
    ( spl0_163
  <=> c3_1(a486) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1000,plain,
    ( c2_1(a452)
    | ~ c0_1(a452)
    | ~ spl0_10
    | ~ spl0_129 ),
    inference(resolution,[],[f237,f757]) ).

fof(f1005,plain,
    ( ~ spl0_130
    | spl0_91
    | ~ spl0_10
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1000,f756,f236,f591,f760]) ).

fof(f1020,plain,
    ( ~ spl0_162
    | ~ spl0_127
    | ~ spl0_12
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f985,f752,f243,f748,f980]) ).

fof(f1028,definition,
    ( spl0_164
  <=> c3_1(a433) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1035,plain,
    ( c3_1(a444)
    | c0_1(a444)
    | ~ spl0_7
    | ~ spl0_122 ),
    inference(resolution,[],[f729,f227]) ).

fof(f1038,plain,
    ( spl0_81
    | spl0_80
    | ~ spl0_7
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1035,f728,f226,f541,f545]) ).

fof(f1051,definition,
    ( spl0_166
  <=> c3_1(a467) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1081,plain,
    ( c2_1(a467)
    | ~ c0_1(a467)
    | ~ spl0_13
    | spl0_100 ),
    inference(resolution,[],[f248,f633]) ).

fof(f1093,plain,
    ( ~ spl0_136
    | spl0_99
    | ~ spl0_13
    | spl0_100 ),
    inference(avatar_split_clause,[],[f1081,f632,f247,f628,f784]) ).

fof(f1133,definition,
    ( spl0_167
  <=> c0_1(a447) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1141,plain,
    ( ~ c2_1(a447)
    | ~ c0_1(a447)
    | ~ spl0_2
    | ~ spl0_154 ),
    inference(resolution,[],[f210,f859]) ).

fof(f1148,plain,
    ( ~ spl0_167
    | ~ spl0_153
    | ~ spl0_2
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1141,f858,f209,f854,f1133]) ).

fof(f1158,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(resolution,[],[f234,f241]) ).

fof(f1164,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f1158]) ).

fof(f1173,plain,
    ( ~ c3_1(a447)
    | ~ c0_1(a447)
    | ~ spl0_4
    | ~ spl0_154 ),
    inference(resolution,[],[f216,f859]) ).

fof(f1179,plain,
    ( ~ spl0_167
    | ~ spl0_152
    | ~ spl0_4
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1173,f858,f215,f849,f1133]) ).

fof(f1198,plain,
    ( ~ c0_1(a452)
    | ~ c3_1(a452)
    | ~ spl0_15
    | spl0_91 ),
    inference(resolution,[],[f254,f592]) ).

fof(f1206,plain,
    ( ~ c0_1(a437)
    | ~ spl0_4
    | ~ spl0_14
    | ~ spl0_149 ),
    inference(resolution,[],[f955,f837]) ).

fof(f1227,definition,
    ( spl0_169
  <=> c3_1(a463) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1236,definition,
    ( spl0_170
  <=> c2_1(a450) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1240,plain,
    ( ~ c3_1(a463)
    | ~ c0_1(a463)
    | ~ spl0_12
    | ~ spl0_134 ),
    inference(resolution,[],[f777,f244]) ).

fof(f1241,plain,
    ( ~ spl0_135
    | ~ spl0_169
    | ~ spl0_12
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1240,f776,f243,f1227,f780]) ).

fof(f1246,plain,
    ( c3_1(a467)
    | ~ c0_1(a467)
    | ~ spl0_1
    | spl0_100 ),
    inference(resolution,[],[f207,f633]) ).

fof(f1258,plain,
    ( ~ spl0_136
    | spl0_166
    | ~ spl0_1
    | spl0_100 ),
    inference(avatar_split_clause,[],[f1246,f632,f206,f1051,f784]) ).

fof(f1263,plain,
    ( ~ spl0_158
    | ~ spl0_130
    | ~ spl0_15
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1198,f591,f253,f760,f917]) ).

fof(f1278,plain,
    ( c3_1(a486)
    | c0_1(a486)
    | ~ spl0_9
    | ~ spl0_144 ),
    inference(resolution,[],[f234,f817]) ).

fof(f1279,plain,
    ( c3_1(a484)
    | c0_1(a484)
    | ~ spl0_9
    | ~ spl0_142 ),
    inference(resolution,[],[f234,f809]) ).

fof(f1282,plain,
    ( c3_1(a435)
    | c0_1(a435)
    | ~ spl0_9
    | ~ spl0_115 ),
    inference(resolution,[],[f234,f701]) ).

fof(f1285,plain,
    ( spl0_73
    | spl0_72
    | ~ spl0_9
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1282,f700,f233,f504,f508]) ).

fof(f1287,definition,
    ( spl0_171
  <=> c0_1(a484) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1290,plain,
    ( spl0_171
    | spl0_105
    | ~ spl0_9
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1279,f808,f233,f656,f1287]) ).

fof(f1299,plain,
    ( c0_1(a450)
    | ~ c3_1(a450)
    | ~ spl0_19
    | ~ spl0_126 ),
    inference(resolution,[],[f269,f745]) ).

fof(f1305,plain,
    ( ~ spl0_125
    | spl0_89
    | ~ spl0_19
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1299,f744,f268,f581,f740]) ).

fof(f1315,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(resolution,[],[f272,f241]) ).

fof(f1317,plain,
    ( c3_1(a486)
    | ~ c2_1(a486)
    | ~ spl0_20
    | ~ spl0_144 ),
    inference(resolution,[],[f272,f817]) ).

fof(f1322,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(duplicate_literal_removal,[],[f1315]) ).

fof(f1346,plain,
    ( c0_1(a447)
    | ~ c3_1(a447)
    | ~ spl0_24
    | ~ spl0_153 ),
    inference(resolution,[],[f288,f855]) ).

fof(f1351,plain,
    ( c0_1(a451)
    | ~ c3_1(a451)
    | ~ spl0_24
    | ~ spl0_128 ),
    inference(resolution,[],[f288,f753]) ).

fof(f1355,plain,
    ( ~ spl0_127
    | spl0_162
    | ~ spl0_24
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1351,f752,f287,f980,f748]) ).

fof(f1359,plain,
    ( ~ spl0_152
    | spl0_167
    | ~ spl0_24
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1346,f854,f287,f1133,f849]) ).

fof(f1369,plain,
    ( ~ c0_1(a472)
    | ~ c3_1(a472)
    | ~ spl0_15
    | spl0_101 ),
    inference(resolution,[],[f638,f254]) ).

fof(f1372,plain,
    ( ~ spl0_137
    | ~ spl0_138
    | ~ spl0_15
    | spl0_101 ),
    inference(avatar_split_clause,[],[f1369,f637,f253,f792,f788]) ).

fof(f1375,plain,
    ( c0_1(a489)
    | ~ c3_1(a489)
    | ~ spl0_24
    | ~ spl0_146 ),
    inference(resolution,[],[f825,f288]) ).

fof(f1380,plain,
    ( ~ spl0_145
    | spl0_108
    | ~ spl0_24
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1375,f824,f287,f670,f820]) ).

fof(f1387,definition,
    ( spl0_172
  <=> c0_1(a492) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1391,plain,
    ( c3_1(a492)
    | ~ c2_1(a492)
    | ~ spl0_20
    | ~ spl0_148 ),
    inference(resolution,[],[f833,f272]) ).

fof(f1395,plain,
    ( ~ spl0_147
    | spl0_109
    | ~ spl0_20
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1391,f832,f271,f675,f828]) ).

fof(f1401,definition,
    ( spl0_173
  <=> c3_1(a456) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1407,plain,
    ( c3_1(a456)
    | ~ c2_1(a456)
    | ~ spl0_20
    | ~ spl0_156 ),
    inference(resolution,[],[f868,f272]) ).

fof(f1411,plain,
    ( ~ spl0_155
    | spl0_173
    | ~ spl0_20
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1407,f867,f271,f1401,f862]) ).

fof(f1414,plain,
    ( ~ spl0_132
    | spl0_94
    | ~ spl0_16
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f960,f772,f257,f605,f768]) ).

fof(f1425,plain,
    ( ~ spl0_143
    | spl0_163
    | ~ spl0_20
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1317,f816,f271,f991,f812]) ).

fof(f1427,plain,
    ( spl0_7
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f1164,f240,f233,f226]) ).

fof(f1428,plain,
    ( spl0_7
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f1322,f271,f240,f226]) ).

fof(f1430,plain,
    ( ~ c0_1(a467)
    | ~ c3_1(a467)
    | ~ spl0_15
    | spl0_99 ),
    inference(resolution,[],[f629,f254]) ).

fof(f1431,plain,
    ( ~ spl0_166
    | ~ spl0_136
    | ~ spl0_15
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1430,f628,f253,f784,f1051]) ).

fof(f1434,plain,
    ( ~ c0_1(a467)
    | ~ c3_1(a467)
    | ~ spl0_14
    | spl0_100 ),
    inference(resolution,[],[f633,f251]) ).

fof(f1436,plain,
    ( ~ spl0_166
    | ~ spl0_136
    | ~ spl0_14
    | spl0_100 ),
    inference(avatar_split_clause,[],[f1434,f632,f250,f784,f1051]) ).

fof(f1437,plain,
    ( c0_1(a486)
    | ~ c3_1(a486)
    | ~ spl0_24
    | ~ spl0_143 ),
    inference(resolution,[],[f813,f288]) ).

fof(f1439,plain,
    ( ~ spl0_163
    | spl0_107
    | ~ spl0_24
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1437,f812,f287,f665,f991]) ).

fof(f1440,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(resolution,[],[f216,f281]) ).

fof(f1450,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(duplicate_literal_removal,[],[f1440]) ).

fof(f1456,plain,
    ( c2_1(a433)
    | ~ c3_1(a433)
    | ~ spl0_5
    | spl0_68 ),
    inference(resolution,[],[f220,f487]) ).

fof(f1514,plain,
    ( ~ c3_1(a432)
    | c0_1(a432)
    | ~ spl0_17
    | spl0_65 ),
    inference(resolution,[],[f262,f474]) ).

fof(f1525,plain,
    ( c0_1(a486)
    | ~ c2_1(a486)
    | ~ spl0_18
    | ~ spl0_144 ),
    inference(resolution,[],[f265,f817]) ).

fof(f1531,plain,
    ( ~ spl0_143
    | spl0_107
    | ~ spl0_18
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1525,f816,f264,f665,f812]) ).

fof(f1538,plain,
    ( c2_1(a445)
    | c0_1(a445)
    | ~ spl0_25
    | spl0_83 ),
    inference(resolution,[],[f292,f555]) ).

fof(f1539,plain,
    ( c2_1(a433)
    | c0_1(a433)
    | ~ spl0_25
    | spl0_68 ),
    inference(resolution,[],[f292,f487]) ).

fof(f1544,plain,
    ( spl0_84
    | spl0_160
    | ~ spl0_25
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1538,f554,f291,f949,f558]) ).

fof(f1561,plain,
    ( ~ c3_1(a456)
    | ~ c2_1(a456)
    | ~ spl0_8
    | ~ spl0_156 ),
    inference(resolution,[],[f868,f230]) ).

fof(f1562,plain,
    ( ~ c3_1(a456)
    | ~ c0_1(a456)
    | ~ spl0_4
    | ~ spl0_156 ),
    inference(resolution,[],[f868,f216]) ).

fof(f1563,plain,
    ( ~ spl0_157
    | ~ spl0_173
    | ~ spl0_4
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1562,f867,f215,f1401,f871]) ).

fof(f1564,plain,
    ( ~ spl0_155
    | ~ spl0_173
    | ~ spl0_8
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1561,f867,f229,f1401,f862]) ).

fof(f1570,plain,
    ( c3_1(a445)
    | c0_1(a445)
    | ~ spl0_26
    | spl0_83 ),
    inference(resolution,[],[f295,f555]) ).

fof(f1571,plain,
    ( c3_1(a433)
    | c0_1(a433)
    | ~ spl0_26
    | spl0_68 ),
    inference(resolution,[],[f295,f487]) ).

fof(f1577,plain,
    ( c3_1(a456)
    | ~ c0_1(a456)
    | ~ spl0_31
    | ~ spl0_155 ),
    inference(resolution,[],[f315,f863]) ).

fof(f1578,plain,
    ( c3_1(a492)
    | ~ c0_1(a492)
    | ~ spl0_31
    | ~ spl0_147 ),
    inference(resolution,[],[f315,f829]) ).

fof(f1590,plain,
    ( ~ spl0_172
    | spl0_109
    | ~ spl0_31
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1578,f828,f314,f675,f1387]) ).

fof(f1591,plain,
    ( ~ spl0_157
    | spl0_173
    | ~ spl0_31
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1577,f862,f314,f1401,f871]) ).

fof(f1594,plain,
    ( ~ c3_1(a450)
    | ~ c2_1(a450)
    | ~ spl0_8
    | ~ spl0_126 ),
    inference(resolution,[],[f745,f230]) ).

fof(f1596,plain,
    ( ~ spl0_170
    | ~ spl0_125
    | ~ spl0_8
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1594,f744,f229,f740,f1236]) ).

fof(f1602,plain,
    ( c3_1(a456)
    | ~ c0_1(a456)
    | ~ spl0_6
    | ~ spl0_156 ),
    inference(resolution,[],[f223,f868]) ).

fof(f1612,plain,
    ( ~ spl0_157
    | spl0_173
    | ~ spl0_6
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1602,f867,f222,f1401,f871]) ).

fof(f1620,plain,
    ( spl0_107
    | spl0_163
    | ~ spl0_9
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1278,f816,f233,f991,f665]) ).

fof(f1624,plain,
    ( c3_1(a463)
    | ~ c2_1(a463)
    | ~ spl0_21
    | spl0_95 ),
    inference(resolution,[],[f611,f277]) ).

fof(f1628,plain,
    ( ~ spl0_134
    | spl0_169
    | ~ spl0_21
    | spl0_95 ),
    inference(avatar_split_clause,[],[f1624,f610,f276,f1227,f776]) ).

fof(f1647,plain,
    ( c3_1(a486)
    | c0_1(a486)
    | ~ spl0_7
    | ~ spl0_143 ),
    inference(resolution,[],[f227,f813]) ).

fof(f1651,plain,
    ( spl0_107
    | spl0_163
    | ~ spl0_7
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1647,f812,f226,f991,f665]) ).

fof(f1682,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_5
    | ~ spl0_39 ),
    inference(resolution,[],[f346,f220]) ).

fof(f1692,plain,
    ( c2_1(a448)
    | c0_1(a448)
    | ~ spl0_39
    | ~ spl0_123 ),
    inference(resolution,[],[f346,f733]) ).

fof(f1694,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_5
    | ~ spl0_39 ),
    inference(duplicate_literal_removal,[],[f1682]) ).

fof(f1695,plain,
    ( spl0_86
    | spl0_85
    | ~ spl0_39
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1692,f732,f345,f563,f567]) ).

fof(f1698,plain,
    ( spl0_17
    | ~ spl0_5
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1694,f345,f219,f261]) ).

fof(f1716,plain,
    ( c3_1(a449)
    | ~ c2_1(a449)
    | ~ spl0_21
    | spl0_88 ),
    inference(resolution,[],[f577,f277]) ).

fof(f1734,plain,
    ( c2_1(a443)
    | ~ c3_1(a443)
    | ~ spl0_5
    | spl0_79 ),
    inference(resolution,[],[f537,f220]) ).

fof(f1740,plain,
    ( ~ spl0_121
    | spl0_78
    | ~ spl0_5
    | spl0_79 ),
    inference(avatar_split_clause,[],[f1734,f536,f219,f532,f724]) ).

fof(f1743,plain,
    ( ~ spl0_124
    | spl0_87
    | ~ spl0_21
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1716,f576,f276,f572,f736]) ).

fof(f1744,plain,
    ( spl0_69
    | spl0_164
    | ~ spl0_26
    | spl0_68 ),
    inference(avatar_split_clause,[],[f1571,f486,f294,f1028,f490]) ).

fof(f1745,plain,
    ( spl0_84
    | spl0_82
    | ~ spl0_26
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1570,f554,f294,f550,f558]) ).

fof(f1746,plain,
    ( ~ spl0_127
    | ~ spl0_162
    | ~ spl0_14
    | spl0_90 ),
    inference(avatar_split_clause,[],[f974,f586,f250,f980,f748]) ).

fof(f1752,plain,
    ( ~ spl0_164
    | spl0_67
    | ~ spl0_5
    | spl0_68 ),
    inference(avatar_split_clause,[],[f1456,f486,f219,f482,f1028]) ).

fof(f1753,plain,
    ( ~ spl0_151
    | ~ spl0_4
    | ~ spl0_14
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1206,f836,f250,f215,f845]) ).

fof(f1759,plain,
    ( spl0_12
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f1450,f280,f215,f243]) ).

fof(f1767,plain,
    ( spl0_69
    | spl0_67
    | ~ spl0_25
    | spl0_68 ),
    inference(avatar_split_clause,[],[f1539,f486,f291,f482,f490]) ).

fof(f1797,plain,
    ( ~ c2_1(a445)
    | c0_1(a445)
    | ~ spl0_11
    | spl0_83 ),
    inference(resolution,[],[f555,f241]) ).

fof(f1798,plain,
    ( spl0_84
    | ~ spl0_160
    | ~ spl0_11
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1797,f554,f240,f949,f558]) ).

fof(f1818,plain,
    ( c2_1(a484)
    | ~ c0_1(a484)
    | ~ spl0_10
    | ~ spl0_142 ),
    inference(resolution,[],[f237,f809]) ).

fof(f1823,plain,
    ( ~ spl0_171
    | spl0_106
    | ~ spl0_10
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1818,f808,f236,f660,f1287]) ).

fof(f1826,plain,
    ( ~ c3_1(a456)
    | ~ c0_1(a456)
    | ~ spl0_12
    | ~ spl0_155 ),
    inference(resolution,[],[f244,f863]) ).

fof(f1827,plain,
    ( ~ c3_1(a437)
    | ~ c0_1(a437)
    | ~ spl0_12
    | ~ spl0_150 ),
    inference(resolution,[],[f244,f842]) ).

fof(f1834,plain,
    ( ~ spl0_151
    | ~ spl0_149
    | ~ spl0_12
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1827,f841,f243,f836,f845]) ).

fof(f1835,plain,
    ( ~ spl0_157
    | ~ spl0_173
    | ~ spl0_12
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1826,f862,f243,f1401,f871]) ).

fof(f1844,plain,
    ( c2_1(a450)
    | ~ c3_1(a450)
    | ~ spl0_16
    | ~ spl0_126 ),
    inference(resolution,[],[f258,f745]) ).

fof(f1849,plain,
    ( ~ spl0_125
    | spl0_170
    | ~ spl0_16
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1844,f744,f257,f1236,f740]) ).

fof(f1857,plain,
    ( c0_1(a492)
    | ~ c2_1(a492)
    | ~ spl0_18
    | ~ spl0_148 ),
    inference(resolution,[],[f265,f833]) ).

fof(f1860,plain,
    ( c0_1(a450)
    | ~ c2_1(a450)
    | ~ spl0_18
    | ~ spl0_126 ),
    inference(resolution,[],[f265,f745]) ).

fof(f1864,plain,
    ( ~ spl0_170
    | spl0_89
    | ~ spl0_18
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1860,f744,f264,f581,f1236]) ).

fof(f1865,plain,
    ( ~ spl0_147
    | spl0_172
    | ~ spl0_18
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1857,f832,f264,f1387,f828]) ).

fof(f1870,plain,
    ( spl0_66
    | ~ spl0_113
    | ~ spl0_17
    | spl0_65 ),
    inference(avatar_split_clause,[],[f1514,f473,f261,f692,f477]) ).

fof(f1913,plain,
    ( c2_1(a484)
    | c0_1(a484)
    | ~ spl0_39
    | ~ spl0_142 ),
    inference(resolution,[],[f346,f809]) ).

fof(f1918,plain,
    ( spl0_171
    | spl0_106
    | ~ spl0_39
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1913,f808,f345,f660,f1287]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f217]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f224]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f238]) ).

cnf(s5,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f245]) ).

cnf(s6,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(sat_conversion,[],[f255]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_9
    | spl0_16 ),
    inference(sat_conversion,[],[f259]) ).

cnf(s8,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_17
    | spl0_18 ),
    inference(sat_conversion,[],[f266]) ).

cnf(s9,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f273]) ).

cnf(s10,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f274]) ).

cnf(s11,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_18
    | spl0_21 ),
    inference(sat_conversion,[],[f278]) ).

cnf(s13,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_17
    | spl0_24 ),
    inference(sat_conversion,[],[f289]) ).

cnf(s14,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_25
    | spl0_26 ),
    inference(sat_conversion,[],[f296]) ).

cnf(s15,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_16
    | spl0_27 ),
    inference(sat_conversion,[],[f300]) ).

cnf(s16,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_15
    | spl0_28 ),
    inference(sat_conversion,[],[f304]) ).

cnf(s18,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_22
    | spl0_30 ),
    inference(sat_conversion,[],[f312]) ).

cnf(s19,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_27
    | spl0_31 ),
    inference(sat_conversion,[],[f316]) ).

cnf(s24,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_24
    | spl0_30 ),
    inference(sat_conversion,[],[f336]) ).

cnf(s25,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_8
    | spl0_37 ),
    inference(sat_conversion,[],[f340]) ).

cnf(s29,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_10
    | spl0_43 ),
    inference(sat_conversion,[],[f362]) ).

cnf(s30,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_24
    | spl0_44 ),
    inference(sat_conversion,[],[f366]) ).

cnf(s33,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_24
    | spl0_46 ),
    inference(sat_conversion,[],[f375]) ).

cnf(s37,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_13
    | spl0_47 ),
    inference(sat_conversion,[],[f385]) ).

cnf(s39,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_9
    | spl0_50 ),
    inference(sat_conversion,[],[f393]) ).

cnf(s40,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_39
    | spl0_51 ),
    inference(sat_conversion,[],[f397]) ).

cnf(s41,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_39
    | spl0_52 ),
    inference(sat_conversion,[],[f401]) ).

cnf(s44,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_26
    | spl0_43 ),
    inference(sat_conversion,[],[f407]) ).

cnf(s47,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_25
    | spl0_55 ),
    inference(sat_conversion,[],[f416]) ).

cnf(s50,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_55
    | spl0_57 ),
    inference(sat_conversion,[],[f425]) ).

cnf(s51,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_43
    | spl0_51 ),
    inference(sat_conversion,[],[f426]) ).

cnf(s53,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_30
    | spl0_41 ),
    inference(sat_conversion,[],[f434]) ).

cnf(s54,plain,
    ( ~ spl0_3
    | spl0_20
    | spl0_28
    | spl0_47 ),
    inference(sat_conversion,[],[f435]) ).

cnf(s55,plain,
    ( ~ spl0_3
    | spl0_31
    | spl0_46
    | spl0_51 ),
    inference(sat_conversion,[],[f436]) ).

cnf(s56,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_29
    | spl0_59 ),
    inference(sat_conversion,[],[f437]) ).

cnf(s57,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_37
    | spl0_57 ),
    inference(sat_conversion,[],[f438]) ).

cnf(s58,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_30
    | spl0_59 ),
    inference(sat_conversion,[],[f439]) ).

cnf(s60,plain,
    ( ~ spl0_3
    | spl0_24
    | spl0_30
    | spl0_55 ),
    inference(sat_conversion,[],[f444]) ).

cnf(s62,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_32
    | spl0_63 ),
    inference(sat_conversion,[],[f455]) ).

cnf(s64,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_28
    | spl0_34 ),
    inference(sat_conversion,[],[f457]) ).

cnf(s67,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_29
    | spl0_37 ),
    inference(sat_conversion,[],[f463]) ).

cnf(s73,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_47
    | spl0_55 ),
    inference(sat_conversion,[],[f469]) ).

cnf(s75,plain,
    ( ~ spl0_55
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f475]) ).

cnf(s76,plain,
    ( ~ spl0_55
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f479]) ).

cnf(s77,plain,
    ( ~ spl0_34
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f484]) ).

cnf(s78,plain,
    ( ~ spl0_34
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f488]) ).

cnf(s79,plain,
    ( ~ spl0_34
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f492]) ).

cnf(s82,plain,
    ( ~ spl0_43
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f506]) ).

cnf(s83,plain,
    ( ~ spl0_43
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f510]) ).

cnf(s88,plain,
    ( ~ spl0_63
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f534]) ).

cnf(s89,plain,
    ( ~ spl0_63
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f538]) ).

cnf(s90,plain,
    ( ~ spl0_30
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f543]) ).

cnf(s91,plain,
    ( ~ spl0_30
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f547]) ).

cnf(s92,plain,
    ( ~ spl0_50
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f552]) ).

cnf(s93,plain,
    ( ~ spl0_50
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f556]) ).

cnf(s94,plain,
    ( ~ spl0_50
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f560]) ).

cnf(s95,plain,
    ( ~ spl0_40
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f565]) ).

cnf(s96,plain,
    ( ~ spl0_40
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f569]) ).

cnf(s97,plain,
    ( ~ spl0_52
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f574]) ).

cnf(s98,plain,
    ( ~ spl0_52
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f578]) ).

cnf(s99,plain,
    ( ~ spl0_51
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f583]) ).

cnf(s100,plain,
    ( ~ spl0_38
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f588]) ).

cnf(s101,plain,
    ( ~ spl0_46
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f593]) ).

cnf(s104,plain,
    ( ~ spl0_37
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f607]) ).

cnf(s105,plain,
    ( ~ spl0_45
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f612]) ).

cnf(s109,plain,
    ( ~ spl0_28
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f630]) ).

cnf(s110,plain,
    ( ~ spl0_28
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f634]) ).

cnf(s111,plain,
    ( ~ spl0_44
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f639]) ).

cnf(s115,plain,
    ( ~ spl0_32
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f658]) ).

cnf(s116,plain,
    ( ~ spl0_32
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f662]) ).

cnf(s117,plain,
    ( ~ spl0_41
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f667]) ).

cnf(s118,plain,
    ( ~ spl0_27
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f672]) ).

cnf(s119,plain,
    ( ~ spl0_59
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f677]) ).

cnf(s123,plain,
    ( ~ spl0_55
    | spl0_113 ),
    inference(sat_conversion,[],[f694]) ).

cnf(s125,plain,
    ( ~ spl0_43
    | spl0_115 ),
    inference(sat_conversion,[],[f702]) ).

cnf(s131,plain,
    ( ~ spl0_63
    | spl0_121 ),
    inference(sat_conversion,[],[f726]) ).

cnf(s132,plain,
    ( ~ spl0_30
    | spl0_122 ),
    inference(sat_conversion,[],[f730]) ).

cnf(s133,plain,
    ( ~ spl0_40
    | spl0_123 ),
    inference(sat_conversion,[],[f734]) ).

cnf(s134,plain,
    ( ~ spl0_52
    | spl0_124 ),
    inference(sat_conversion,[],[f738]) ).

cnf(s135,plain,
    ( ~ spl0_51
    | spl0_125 ),
    inference(sat_conversion,[],[f742]) ).

cnf(s136,plain,
    ( ~ spl0_51
    | spl0_126 ),
    inference(sat_conversion,[],[f746]) ).

cnf(s137,plain,
    ( ~ spl0_38
    | spl0_127 ),
    inference(sat_conversion,[],[f750]) ).

cnf(s138,plain,
    ( ~ spl0_38
    | spl0_128 ),
    inference(sat_conversion,[],[f754]) ).

cnf(s139,plain,
    ( ~ spl0_46
    | spl0_129 ),
    inference(sat_conversion,[],[f758]) ).

cnf(s140,plain,
    ( ~ spl0_46
    | spl0_130 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s142,plain,
    ( ~ spl0_37
    | spl0_132 ),
    inference(sat_conversion,[],[f770]) ).

cnf(s143,plain,
    ( ~ spl0_37
    | spl0_133 ),
    inference(sat_conversion,[],[f774]) ).

cnf(s144,plain,
    ( ~ spl0_45
    | spl0_134 ),
    inference(sat_conversion,[],[f778]) ).

cnf(s145,plain,
    ( ~ spl0_45
    | spl0_135 ),
    inference(sat_conversion,[],[f782]) ).

cnf(s146,plain,
    ( ~ spl0_28
    | spl0_136 ),
    inference(sat_conversion,[],[f786]) ).

cnf(s147,plain,
    ( ~ spl0_44
    | spl0_137 ),
    inference(sat_conversion,[],[f790]) ).

cnf(s148,plain,
    ( ~ spl0_44
    | spl0_138 ),
    inference(sat_conversion,[],[f794]) ).

cnf(s152,plain,
    ( ~ spl0_32
    | spl0_142 ),
    inference(sat_conversion,[],[f810]) ).

cnf(s153,plain,
    ( ~ spl0_41
    | spl0_143 ),
    inference(sat_conversion,[],[f814]) ).

cnf(s154,plain,
    ( ~ spl0_41
    | spl0_144 ),
    inference(sat_conversion,[],[f818]) ).

cnf(s155,plain,
    ( ~ spl0_27
    | spl0_145 ),
    inference(sat_conversion,[],[f822]) ).

cnf(s156,plain,
    ( ~ spl0_27
    | spl0_146 ),
    inference(sat_conversion,[],[f826]) ).

cnf(s157,plain,
    ( ~ spl0_59
    | spl0_147 ),
    inference(sat_conversion,[],[f830]) ).

cnf(s158,plain,
    ( ~ spl0_59
    | spl0_148 ),
    inference(sat_conversion,[],[f834]) ).

cnf(s159,plain,
    ( ~ spl0_47
    | spl0_149 ),
    inference(sat_conversion,[],[f839]) ).

cnf(s160,plain,
    ( ~ spl0_47
    | spl0_150 ),
    inference(sat_conversion,[],[f843]) ).

cnf(s161,plain,
    ( ~ spl0_47
    | spl0_151 ),
    inference(sat_conversion,[],[f847]) ).

cnf(s162,plain,
    ( ~ spl0_57
    | spl0_152 ),
    inference(sat_conversion,[],[f852]) ).

cnf(s163,plain,
    ( ~ spl0_57
    | spl0_153 ),
    inference(sat_conversion,[],[f856]) ).

cnf(s164,plain,
    ( ~ spl0_57
    | spl0_154 ),
    inference(sat_conversion,[],[f860]) ).

cnf(s165,plain,
    ( ~ spl0_29
    | spl0_155 ),
    inference(sat_conversion,[],[f865]) ).

cnf(s166,plain,
    ( ~ spl0_29
    | spl0_156 ),
    inference(sat_conversion,[],[f869]) ).

cnf(s167,plain,
    ( ~ spl0_29
    | spl0_157 ),
    inference(sat_conversion,[],[f873]) ).

cnf(s169,plain,
    ( spl0_41
    | spl0_43
    | spl0_51 ),
    inference(sat_conversion,[],[f875]) ).

cnf(s171,plain,
    ( spl0_32
    | spl0_40
    | spl0_45 ),
    inference(sat_conversion,[],[f877]) ).

cnf(s172,plain,
    ( spl0_28
    | spl0_38
    | spl0_46 ),
    inference(sat_conversion,[],[f878]) ).

cnf(s173,plain,
    ( spl0_29
    | spl0_41
    | spl0_46 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s188,plain,
    ( spl0_3
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f895]) ).

cnf(s198,plain,
    ( spl0_3
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f905]) ).

cnf(s204,plain,
    ( spl0_3
    | ~ spl0_29 ),
    inference(sat_conversion,[],[f911]) ).

cnf(s205,plain,
    ( ~ spl0_4
    | ~ spl0_129
    | ~ spl0_130
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f919]) ).

cnf(s206,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | spl0_15 ),
    inference(sat_conversion,[],[f923]) ).

cnf(s207,plain,
    ( ~ spl0_6
    | ~ spl0_129
    | ~ spl0_130
    | spl0_158 ),
    inference(sat_conversion,[],[f929]) ).

cnf(s218,plain,
    ( ~ spl0_10
    | spl0_91
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1005]) ).

cnf(s223,plain,
    ( ~ spl0_12
    | ~ spl0_127
    | ~ spl0_128
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1020]) ).

cnf(s228,plain,
    ( ~ spl0_7
    | spl0_80
    | spl0_81
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f1038]) ).

cnf(s235,plain,
    ( ~ spl0_13
    | spl0_99
    | spl0_100
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f1093]) ).

cnf(s256,plain,
    ( ~ spl0_2
    | ~ spl0_153
    | ~ spl0_154
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1148]) ).

cnf(s263,plain,
    ( ~ spl0_4
    | ~ spl0_152
    | ~ spl0_154
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1179]) ).

cnf(s279,plain,
    ( ~ spl0_12
    | ~ spl0_134
    | ~ spl0_135
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1241]) ).

cnf(s286,plain,
    ( ~ spl0_1
    | spl0_100
    | ~ spl0_136
    | spl0_166 ),
    inference(sat_conversion,[],[f1258]) ).

cnf(s291,plain,
    ( ~ spl0_15
    | spl0_91
    | ~ spl0_130
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1263]) ).

cnf(s294,plain,
    ( ~ spl0_9
    | spl0_72
    | spl0_73
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f1285]) ).

cnf(s295,plain,
    ( ~ spl0_9
    | spl0_105
    | ~ spl0_142
    | spl0_171 ),
    inference(sat_conversion,[],[f1290]) ).

cnf(s296,plain,
    ( ~ spl0_19
    | spl0_89
    | ~ spl0_125
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f1305]) ).

cnf(s304,plain,
    ( ~ spl0_24
    | ~ spl0_127
    | ~ spl0_128
    | spl0_162 ),
    inference(sat_conversion,[],[f1355]) ).

cnf(s308,plain,
    ( ~ spl0_24
    | ~ spl0_152
    | ~ spl0_153
    | spl0_167 ),
    inference(sat_conversion,[],[f1359]) ).

cnf(s320,plain,
    ( ~ spl0_15
    | spl0_101
    | ~ spl0_137
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f1372]) ).

cnf(s321,plain,
    ( ~ spl0_24
    | spl0_108
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1380]) ).

cnf(s326,plain,
    ( ~ spl0_20
    | spl0_109
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1395]) ).

cnf(s331,plain,
    ( ~ spl0_20
    | ~ spl0_155
    | ~ spl0_156
    | spl0_173 ),
    inference(sat_conversion,[],[f1411]) ).

cnf(s334,plain,
    ( ~ spl0_16
    | spl0_94
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1414]) ).

cnf(s345,plain,
    ( ~ spl0_20
    | ~ spl0_143
    | ~ spl0_144
    | spl0_163 ),
    inference(sat_conversion,[],[f1425]) ).

cnf(s347,plain,
    ( spl0_7
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f1427]) ).

cnf(s349,plain,
    ( spl0_7
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(sat_conversion,[],[f1428]) ).

cnf(s351,plain,
    ( ~ spl0_15
    | spl0_99
    | ~ spl0_136
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1431]) ).

cnf(s352,plain,
    ( ~ spl0_14
    | spl0_100
    | ~ spl0_136
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1436]) ).

cnf(s353,plain,
    ( ~ spl0_24
    | spl0_107
    | ~ spl0_143
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1439]) ).

cnf(s363,plain,
    ( ~ spl0_18
    | spl0_107
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1531]) ).

cnf(s366,plain,
    ( ~ spl0_25
    | spl0_83
    | spl0_84
    | spl0_160 ),
    inference(sat_conversion,[],[f1544]) ).

cnf(s375,plain,
    ( ~ spl0_4
    | ~ spl0_156
    | ~ spl0_157
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1563]) ).

cnf(s376,plain,
    ( ~ spl0_8
    | ~ spl0_155
    | ~ spl0_156
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1564]) ).

cnf(s382,plain,
    ( ~ spl0_31
    | spl0_109
    | ~ spl0_147
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1590]) ).

cnf(s383,plain,
    ( ~ spl0_31
    | ~ spl0_155
    | ~ spl0_157
    | spl0_173 ),
    inference(sat_conversion,[],[f1591]) ).

cnf(s385,plain,
    ( ~ spl0_8
    | ~ spl0_125
    | ~ spl0_126
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1596]) ).

cnf(s388,plain,
    ( ~ spl0_6
    | ~ spl0_156
    | ~ spl0_157
    | spl0_173 ),
    inference(sat_conversion,[],[f1612]) ).

cnf(s398,plain,
    ( ~ spl0_9
    | spl0_107
    | ~ spl0_144
    | spl0_163 ),
    inference(sat_conversion,[],[f1620]) ).

cnf(s402,plain,
    ( ~ spl0_21
    | spl0_95
    | ~ spl0_134
    | spl0_169 ),
    inference(sat_conversion,[],[f1628]) ).

cnf(s413,plain,
    ( ~ spl0_7
    | spl0_107
    | ~ spl0_143
    | spl0_163 ),
    inference(sat_conversion,[],[f1651]) ).

cnf(s418,plain,
    ( ~ spl0_39
    | spl0_85
    | spl0_86
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f1695]) ).

cnf(s421,plain,
    ( ~ spl0_5
    | spl0_17
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f1698]) ).

cnf(s430,plain,
    ( ~ spl0_5
    | spl0_78
    | spl0_79
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1740]) ).

cnf(s433,plain,
    ( ~ spl0_21
    | spl0_87
    | spl0_88
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1743]) ).

cnf(s434,plain,
    ( ~ spl0_26
    | spl0_68
    | spl0_69
    | spl0_164 ),
    inference(sat_conversion,[],[f1744]) ).

cnf(s435,plain,
    ( ~ spl0_26
    | spl0_82
    | spl0_83
    | spl0_84 ),
    inference(sat_conversion,[],[f1745]) ).

cnf(s436,plain,
    ( ~ spl0_14
    | spl0_90
    | ~ spl0_127
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1746]) ).

cnf(s443,plain,
    ( ~ spl0_5
    | spl0_67
    | spl0_68
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1752]) ).

cnf(s444,plain,
    ( ~ spl0_4
    | ~ spl0_14
    | ~ spl0_149
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1753]) ).

cnf(s450,plain,
    ( ~ spl0_4
    | spl0_12
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f1759]) ).

cnf(s458,plain,
    ( ~ spl0_25
    | spl0_67
    | spl0_68
    | spl0_69 ),
    inference(sat_conversion,[],[f1767]) ).

cnf(s474,plain,
    ( ~ spl0_11
    | spl0_83
    | spl0_84
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1798]) ).

cnf(s478,plain,
    ( ~ spl0_10
    | spl0_106
    | ~ spl0_142
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1823]) ).

cnf(s479,plain,
    ( ~ spl0_12
    | ~ spl0_149
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1834]) ).

cnf(s480,plain,
    ( ~ spl0_12
    | ~ spl0_155
    | ~ spl0_157
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1835]) ).

cnf(s481,plain,
    ( ~ spl0_16
    | ~ spl0_125
    | ~ spl0_126
    | spl0_170 ),
    inference(sat_conversion,[],[f1849]) ).

cnf(s483,plain,
    ( ~ spl0_18
    | spl0_89
    | ~ spl0_126
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1864]) ).

cnf(s484,plain,
    ( ~ spl0_18
    | ~ spl0_147
    | ~ spl0_148
    | spl0_172 ),
    inference(sat_conversion,[],[f1865]) ).

cnf(s489,plain,
    ( ~ spl0_17
    | spl0_65
    | spl0_66
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f1870]) ).

cnf(s502,plain,
    ( ~ spl0_39
    | spl0_106
    | ~ spl0_142
    | spl0_171 ),
    inference(sat_conversion,[],[f1918]) ).

cnf(s503,plain,
    spl0_3,
    inference(rat,[],[s173,s188,s198,s204]) ).

cnf(s504,plain,
    ( ~ spl0_47
    | ~ spl0_12 ),
    inference(rat,[],[s479,s159,s160,s161]) ).

cnf(s506,plain,
    ( ~ spl0_30
    | ~ spl0_7 ),
    inference(rat,[],[s228,s90,s91,s132]) ).

cnf(s507,plain,
    ( ~ spl0_27
    | ~ spl0_24 ),
    inference(rat,[],[s321,s118,s155,s156]) ).

cnf(s508,plain,
    ( spl0_14
    | spl0_27
    | spl0_17
    | spl0_30 ),
    inference(rat,[],[s382,s484,s119,s157,s158,s19,s58,s8,s503]) ).

cnf(s509,plain,
    ( ~ spl0_37
    | ~ spl0_16 ),
    inference(rat,[],[s334,s104,s142,s143]) ).

cnf(s510,plain,
    ( spl0_24
    | spl0_9
    | spl0_30 ),
    inference(rat,[],[s489,s75,s76,s123,s13,s60,s503]) ).

cnf(s511,plain,
    ( ~ spl0_28
    | ~ spl0_13 ),
    inference(rat,[],[s235,s109,s110,s146]) ).

cnf(s512,plain,
    ( ~ spl0_29
    | ~ spl0_20
    | ~ spl0_4 ),
    inference(rat,[],[s331,s375,s165,s166,s167]) ).

cnf(s513,plain,
    ( ~ spl0_57
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s308,s263,s162,s163,s164]) ).

cnf(s515,plain,
    ( ~ spl0_46
    | ~ spl0_10 ),
    inference(rat,[],[s218,s101,s139,s140]) ).

cnf(s516,plain,
    ( spl0_9
    | ~ spl0_20
    | spl0_30
    | spl0_6
    | ~ spl0_4 ),
    inference(rat,[],[s353,s345,s117,s153,s154,s173,s515,s57,s513,s510,s509,s7,s512,s503]) ).

cnf(s517,plain,
    ( ~ spl0_41
    | ~ spl0_24
    | ~ spl0_20 ),
    inference(rat,[],[s353,s345,s117,s153,s154]) ).

cnf(s518,plain,
    ( ~ spl0_43
    | ~ spl0_9 ),
    inference(rat,[],[s294,s82,s83,s125]) ).

cnf(s519,plain,
    ( spl0_6
    | spl0_5
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s24,s363,s517,s117,s153,s154,s173,s515,s29,s518,s516,s512,s54,s511,s37,s504,s450,s18,s506,s10,s503]) ).

cnf(s520,plain,
    ( spl0_28
    | spl0_46
    | spl0_9
    | spl0_57
    | ~ spl0_24 ),
    inference(rat,[],[s14,s435,s458,s92,s93,s94,s77,s78,s79,s39,s64,s506,s508,s489,s75,s76,s123,s50,s436,s223,s304,s100,s137,s138,s172,s507,s503]) ).

cnf(s521,plain,
    ( ~ spl0_20
    | spl0_46
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s173,s517,s512]) ).

cnf(s522,plain,
    ( ~ spl0_41
    | ~ spl0_18 ),
    inference(rat,[],[s363,s117,s153,s154]) ).

cnf(s523,plain,
    ( ~ spl0_29
    | ~ spl0_6
    | ~ spl0_4 ),
    inference(rat,[],[s375,s388,s166,s167]) ).

cnf(s524,plain,
    ( spl0_46
    | spl0_9
    | ~ spl0_24
    | spl0_29
    | spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s489,s75,s76,s123,s8,s50,s444,s504,s159,s161,s37,s522,s511,s173,s520,s513,s503]) ).

cnf(s525,plain,
    ( ~ spl0_46
    | ~ spl0_6
    | ~ spl0_4 ),
    inference(rat,[],[s205,s207,s139,s140]) ).

cnf(s526,plain,
    ( ~ spl0_24
    | spl0_46
    | spl0_29
    | spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s353,s398,s524,s154,s153,s117,s173]) ).

cnf(s527,plain,
    ( spl0_5
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s506,s24,s33,s526,s522,s173,s525,s523,s519,s503]) ).

cnf(s528,plain,
    ( ~ spl0_46
    | spl0_57
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s7,s509,s518,s57,s29,s525,s515,s503]) ).

cnf(s529,plain,
    ( spl0_55
    | spl0_47
    | spl0_83
    | spl0_84
    | spl0_7 ),
    inference(rat,[],[s366,s474,s47,s73,s503]) ).

cnf(s530,plain,
    ( ~ spl0_55
    | ~ spl0_17 ),
    inference(rat,[],[s75,s489,s76,s123]) ).

cnf(s531,plain,
    ( spl0_55
    | spl0_83
    | spl0_84
    | spl0_7
    | spl0_57 ),
    inference(rat,[],[s504,s529,s50,s503]) ).

cnf(s532,plain,
    ( ~ spl0_41
    | spl0_46
    | spl0_57
    | ~ spl0_24
    | ~ spl0_5 ),
    inference(rat,[],[s433,s97,s98,s134,s41,s421,s530,s531,s93,s94,s511,s39,s11,s520,s413,s398,s353,s522,s117,s153,s154,s503]) ).

cnf(s533,plain,
    ( ~ spl0_52
    | ~ spl0_21 ),
    inference(rat,[],[s433,s97,s98,s134]) ).

cnf(s534,plain,
    ( ~ spl0_45
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(rat,[],[s402,s279,s105,s144,s145]) ).

cnf(s535,plain,
    ( ~ spl0_40
    | ~ spl0_39 ),
    inference(rat,[],[s418,s95,s96,s133]) ).

cnf(s536,plain,
    ( spl0_9
    | spl0_89
    | ~ spl0_125
    | ~ spl0_126
    | spl0_6
    | spl0_46
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s478,s502,s116,s152,s171,s535,s534,s41,s533,s450,s18,s506,s11,s25,s483,s385,s57,s481,s509,s511,s7,s520,s513,s503]) ).

cnf(s537,plain,
    ( ~ spl0_21
    | spl0_13
    | ~ spl0_12
    | ~ spl0_10 ),
    inference(rat,[],[s478,s502,s116,s152,s171,s535,s41,s534,s533,s503]) ).

cnf(s538,plain,
    ( ~ spl0_63
    | ~ spl0_5 ),
    inference(rat,[],[s430,s88,s89,s131]) ).

cnf(s539,plain,
    ( ~ spl0_24
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s295,s478,s115,s116,s152,s62,s537,s511,s54,s504,s450,s18,s506,s29,s347,s518,s536,s9,s296,s99,s135,s136,s55,s383,s375,s523,s165,s166,s167,s173,s532,s521,s528,s513,s538,s527,s503]) ).

cnf(s540,plain,
    ( ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s320,s111,s147,s148,s30,s539,s206,s527,s503]) ).

cnf(s541,plain,
    ( ~ spl0_29
    | ~ spl0_12
    | ~ spl0_16
    | ~ spl0_10
    | spl0_9 ),
    inference(rat,[],[s483,s11,s481,s537,s99,s135,s136,s511,s55,s54,s383,s331,s480,s165,s166,s167,s515,s504,s503]) ).

cnf(s542,plain,
    ( ~ spl0_12
    | ~ spl0_16
    | ~ spl0_24
    | ~ spl0_10
    | spl0_9 ),
    inference(rat,[],[s537,s511,s11,s54,s522,s517,s173,s541,s504,s515,s503]) ).

cnf(s544,plain,
    ( ~ spl0_57
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s308,s256,s162,s163,s164]) ).

cnf(s545,plain,
    ( ~ spl0_5
    | spl0_17
    | ~ spl0_24
    | spl0_46
    | spl0_1 ),
    inference(rat,[],[s385,s25,s481,s506,s135,s136,s53,s40,s532,s421,s509,s15,s507,s544,s1,s540,s503]) ).

cnf(s546,plain,
    ( ~ spl0_7
    | ~ spl0_24
    | spl0_4 ),
    inference(rat,[],[s413,s353,s117,s153,s53,s506,s503]) ).

cnf(s547,plain,
    ( ~ spl0_24
    | spl0_9
    | spl0_1 ),
    inference(rat,[],[s388,s376,s165,s166,s167,s25,s67,s546,s2,s545,s530,s50,s544,s542,s509,s15,s507,s1,s515,s4,s540,s503]) ).

cnf(s548,plain,
    ( spl0_9
    | spl0_1 ),
    inference(rat,[],[s506,s33,s510,s547,s515,s4,s540,s503]) ).

cnf(s549,plain,
    ( ~ spl0_24
    | spl0_1 ),
    inference(rat,[],[s385,s25,s481,s509,s15,s546,s507,s136,s135,s51,s518,s548,s540,s503]) ).

cnf(s550,plain,
    spl0_1,
    inference(rat,[],[s522,s24,s53,s506,s33,s549,s515,s29,s518,s548,s540,s503]) ).

cnf(s552,plain,
    ( ~ spl0_46
    | spl0_9
    | spl0_57
    | ~ spl0_4 ),
    inference(rat,[],[s509,s7,s57,s525,s515,s503]) ).

cnf(s553,plain,
    ~ spl0_28,
    inference(rat,[],[s6,s352,s351,s286,s511,s109,s110,s146,s503,s550]) ).

cnf(s554,plain,
    ( spl0_9
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s520,s552,s513,s553]) ).

cnf(s555,plain,
    ( spl0_20
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s296,s99,s135,s136,s9,s169,s347,s522,s506,s8,s508,s530,s50,s444,s504,s159,s161,s54,s507,s513,s518,s554,s503,s553]) ).

cnf(s556,plain,
    ( ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s326,s119,s157,s158,s56,s509,s57,s515,s521,s512,s555,s513,s503]) ).

cnf(s557,plain,
    ( spl0_9
    | spl0_24 ),
    inference(rat,[],[s458,s77,s78,s79,s47,s64,s530,s506,s13,s510,s553,s503]) ).

cnf(s558,plain,
    ( spl0_46
    | ~ spl0_4 ),
    inference(rat,[],[s450,s504,s18,s54,s523,s512,s173,s522,s24,s506,s33,s556,s503,s553]) ).

cnf(s559,plain,
    ( ~ spl0_59
    | ~ spl0_20 ),
    inference(rat,[],[s326,s119,s157,s158]) ).

cnf(s560,plain,
    ( spl0_47
    | ~ spl0_4 ),
    inference(rat,[],[s349,s506,s73,s60,s530,s67,s509,s56,s559,s512,s54,s556,s503,s553]) ).

cnf(s561,plain,
    ~ spl0_4,
    inference(rat,[],[s506,s347,s18,s5,s450,s504,s560,s525,s515,s558,s557,s556,s503]) ).

cnf(s562,plain,
    spl0_15,
    inference(rat,[],[s16,s561,s503,s553]) ).

cnf(s563,plain,
    ~ spl0_24,
    inference(rat,[],[s434,s14,s443,s504,s2,s54,s388,s331,s376,s165,s166,s167,s67,s530,s47,s458,s25,s77,s78,s79,s509,s64,s15,s546,s507,s503,s561,s553]) ).

cnf(s564,plain,
    spl0_9,
    inference(rat,[],[s557,s563]) ).

cnf(s565,plain,
    ~ spl0_43,
    inference(rat,[],[s518,s564]) ).

cnf(s571,plain,
    spl0_30,
    inference(rat,[],[s522,s24,s53,s503,s563,s561]) ).

cnf(s575,plain,
    ~ spl0_7,
    inference(rat,[],[s506,s571]) ).

cnf(s576,plain,
    spl0_46,
    inference(rat,[],[s33,s563,s503,s575]) ).

cnf(s578,plain,
    spl0_34,
    inference(rat,[],[s64,s553,s503,s575]) ).

cnf(s581,plain,
    spl0_130,
    inference(rat,[],[s140,s576]) ).

cnf(s582,plain,
    spl0_129,
    inference(rat,[],[s139,s576]) ).

cnf(s583,plain,
    ~ spl0_91,
    inference(rat,[],[s101,s576]) ).

cnf(s584,plain,
    ~ spl0_10,
    inference(rat,[],[s515,s576]) ).

cnf(s588,plain,
    ~ spl0_69,
    inference(rat,[],[s79,s578]) ).

cnf(s589,plain,
    ~ spl0_68,
    inference(rat,[],[s78,s578]) ).

cnf(s590,plain,
    ~ spl0_67,
    inference(rat,[],[s77,s578]) ).

cnf(s591,plain,
    ~ spl0_158,
    inference(rat,[],[s291,s562,s581,s583]) ).

cnf(s592,plain,
    spl0_26,
    inference(rat,[],[s44,s565,s503,s584]) ).

cnf(s596,plain,
    ~ spl0_6,
    inference(rat,[],[s207,s582,s581,s591]) ).

cnf(s597,plain,
    spl0_164,
    inference(rat,[],[s434,s589,s588,s592]) ).

cnf(s604,plain,
    spl0_5,
    inference(rat,[],[s2,s561,s503,s596]) ).

cnf(s606,plain,
    $false,
    inference(rat,[],[s443,s589,s590,s604,s597]) ).

fof(f1919,plain,
    $false,
    inference(avatar_sat_refutation,[],[s606]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN509-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n008.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 16:21:24 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.67/1.12  % (2374249)Input is clausal, will run a generic CNF schedule.
% 2.67/1.12  % (2374271)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2661564712:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.67/1.12  % (2374274)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3967804643:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.67/1.12  % (2374276)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3191000931:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.67/1.12  % (2374275)lrs+10_1_sil=8000:sp=occurrence:random_seed=310149997:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.67/1.12  % (2374273)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2364606292:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.67/1.12  % (2374277)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2855800080:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.67/1.12  % (2374278)dis-21_1_sil=8000:lcm=predicate:random_seed=942404013:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.67/1.12  % (2374278)First to succeed.
% 2.67/1.12  % (2374276)Also succeeded, but the first one will report.
% 2.67/1.12  % (2374278)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2374249"
% 2.67/1.12  % (2374275)Also succeeded, but the first one will report.
% 2.67/1.12  % (2374277)Also succeeded, but the first one will report.
% 2.67/1.12  % (2374278)Refutation found. Thanks to Tanya!
% 2.67/1.12  % SZS status Unsatisfiable for theBenchmark
% 2.67/1.12  % SZS output start Proof for theBenchmark
% See solution above
% 3.40/1.31  % (2374278)------------------------------
% 3.40/1.31  % (2374278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.31  % (2374278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.31  % (2374278)CaDiCaL version: 2.1.3
% 3.40/1.31  % (2374278)Termination reason: Refutation
% 3.40/1.31  % (2374278)Time elapsed: 0.029 s
% 3.40/1.31  % (2374278)Peak memory usage: 90 MB
% 3.40/1.31  % (2374278)Instructions burned: 44 (million)
% 3.40/1.31  % (2374278)------------------------------
% 3.40/1.31  % (2374278)------------------------------
% 3.40/1.31  % (2374249)Success in time 0.38 s
% 3.40/1.31  % Vampire exiting
%------------------------------------------------------------------------------