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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN477-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n014.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 02:12:09 PM UTC 2026

% Result   : Unsatisfiable 0.19s 0.30s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   45
%            Number of leaves      :  238
% Syntax   : Number of formulae    : 1014 (  41 unt; 130 def)
%            Number of atoms       : 3364 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 4205 (1855   ~;2220   |;   0   &)
%                                         ( 130 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  159 ( 158 usr; 155 prp; 0-1 aty)
%            Number of functors    :   23 (  23 usr;  23 con; 0-0 aty)
%            Number of variables   :  218 (   0 sgn 218   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( hskp25
    | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f2,negated_conjecture,
    ( ~ hskp28
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f4,negated_conjecture,
    ( ~ hskp26
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

fof(f6,negated_conjecture,
    ( ~ hskp24
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

fof(f31,negated_conjecture,
    ( hskp26
    | hskp28
    | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).

fof(f32,negated_conjecture,
    ( hskp26
    | hskp25
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f33,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f36,negated_conjecture,
    ( hskp24
    | hskp19
    | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f38,negated_conjecture,
    ( hskp22
    | hskp6
    | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f40,negated_conjecture,
    ( hskp27
    | hskp19
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f44,negated_conjecture,
    ( ~ hskp28
    | c0_1(a1214) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp28
    | c1_1(a1214) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp28
    | c3_1(a1214) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp27
    | c1_1(a1213) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp27
    | c2_1(a1213) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp27
    | c3_1(a1213) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( ~ hskp26
    | c0_1(a1208) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp26
    | c1_1(a1208) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp26
    | c2_1(a1208) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( ~ hskp25
    | c0_1(a1204) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( ~ hskp25
    | c2_1(a1204) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f55,negated_conjecture,
    ( ~ hskp25
    | c3_1(a1204) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( ~ hskp24
    | c0_1(a1267) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f58,negated_conjecture,
    ( ~ hskp21
    | c3_1(a1257) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f61,negated_conjecture,
    ( ~ hskp19
    | c1_1(a1247) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f64,negated_conjecture,
    ( ~ hskp17
    | c0_1(a1237) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( ~ hskp17
    | c3_1(a1237) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f67,negated_conjecture,
    ( ~ hskp15
    | c0_1(a1233) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp15
    | c1_1(a1233) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp14
    | c3_1(a1232) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp13
    | c0_1(a1229) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp13
    | c2_1(a1229) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f74,negated_conjecture,
    ( ~ hskp11
    | c1_1(a1224) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp11
    | c3_1(a1224) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp10
    | c2_1(a1223) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f79,negated_conjecture,
    ( ~ hskp6
    | c1_1(a1215) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp6
    | c2_1(a1215) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp5
    | c2_1(a1212) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp4
    | c1_1(a1211) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ hskp3
    | c0_1(a1210) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ hskp3
    | c1_1(a1210) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ hskp1
    | c0_1(a1206) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( ~ hskp1
    | c2_1(a1206) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ hskp0
    | c2_1(a1205) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ c1_1(a1267)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ c2_1(a1267)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f93,negated_conjecture,
    ( ~ c2_1(a1259)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ c3_1(a1259)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ c0_1(a1257)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ c1_1(a1257)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f98,negated_conjecture,
    ( ~ c2_1(a1247)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c3_1(a1247)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f101,negated_conjecture,
    ( ~ c1_1(a1237)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f104,negated_conjecture,
    ( ~ c2_1(a1233)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ c0_1(a1232)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c2_1(a1232)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f109,negated_conjecture,
    ( ~ c2_1(a1224)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c1_1(a1223)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ c3_1(a1223)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f113,negated_conjecture,
    ( ~ c0_1(a1217)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f115,negated_conjecture,
    ( ~ c3_1(a1217)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c1_1(a1216)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c2_1(a1216)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c3_1(a1216)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ c3_1(a1215)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ c0_1(a1212)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c3_1(a1212)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f123,negated_conjecture,
    ( ~ c2_1(a1211)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ c3_1(a1210)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ c0_1(a1207)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ c1_1(a1207)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ c2_1(a1207)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ c3_1(a1206)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ c0_1(a1205)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ c1_1(a1205)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f135,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp27
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f138,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp15
      | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f140,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp17
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp0
      | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f146,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp13
      | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp2
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f149,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f152,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f154,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f155,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f157,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f161,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f163,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

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

fof(f167,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X1)
      | c1_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f170,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f172,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f173,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f175,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c2_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

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

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

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

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

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

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

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

fof(f185,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c2_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f186,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

fof(f187,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

fof(f188,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | c0_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

fof(f189,plain,
    ( ~ hskp25
    | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f1]) ).

fof(f202,plain,
    ( hskp26
    | ~ hskp25
    | hskp1 ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f203,plain,
    ( hskp15
    | ~ hskp6
    | hskp5 ),
    inference(consistent_polarity_flipping,[],[f33]) ).

fof(f205,plain,
    ( hskp24
    | ~ hskp19
    | hskp14 ),
    inference(consistent_polarity_flipping,[],[f36]) ).

fof(f207,plain,
    ( ~ hskp22
    | ~ hskp6
    | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f38]) ).

fof(f209,plain,
    ( ~ hskp27
    | ~ hskp19
    | hskp2 ),
    inference(consistent_polarity_flipping,[],[f40]) ).

fof(f213,plain,
    ( ~ hskp28
    | ~ c1_1(a1214) ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f214,plain,
    ( ~ hskp28
    | ~ c3_1(a1214) ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f215,plain,
    ( hskp27
    | ~ c1_1(a1213) ),
    inference(consistent_polarity_flipping,[],[f47]) ).

fof(f216,plain,
    ( hskp27
    | ~ c2_1(a1213) ),
    inference(consistent_polarity_flipping,[],[f48]) ).

fof(f217,plain,
    ( hskp27
    | ~ c3_1(a1213) ),
    inference(consistent_polarity_flipping,[],[f49]) ).

fof(f218,plain,
    ( ~ hskp26
    | ~ c1_1(a1208) ),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f219,plain,
    ( ~ hskp26
    | ~ c2_1(a1208) ),
    inference(consistent_polarity_flipping,[],[f52]) ).

fof(f220,plain,
    ( hskp25
    | c0_1(a1204) ),
    inference(consistent_polarity_flipping,[],[f53]) ).

fof(f221,plain,
    ( hskp25
    | ~ c2_1(a1204) ),
    inference(consistent_polarity_flipping,[],[f54]) ).

fof(f222,plain,
    ( hskp25
    | ~ c3_1(a1204) ),
    inference(consistent_polarity_flipping,[],[f55]) ).

fof(f224,plain,
    ( hskp21
    | ~ c3_1(a1257) ),
    inference(consistent_polarity_flipping,[],[f58]) ).

fof(f227,plain,
    ( hskp19
    | ~ c1_1(a1247) ),
    inference(consistent_polarity_flipping,[],[f61]) ).

fof(f230,plain,
    ( ~ hskp17
    | ~ c3_1(a1237) ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f232,plain,
    ( ~ hskp15
    | ~ c1_1(a1233) ),
    inference(consistent_polarity_flipping,[],[f68]) ).

fof(f233,plain,
    ( ~ hskp14
    | ~ c3_1(a1232) ),
    inference(consistent_polarity_flipping,[],[f69]) ).

fof(f234,plain,
    ( ~ hskp13
    | ~ c2_1(a1229) ),
    inference(consistent_polarity_flipping,[],[f71]) ).

fof(f236,plain,
    ( ~ hskp11
    | ~ c1_1(a1224) ),
    inference(consistent_polarity_flipping,[],[f74]) ).

fof(f237,plain,
    ( ~ hskp11
    | ~ c3_1(a1224) ),
    inference(consistent_polarity_flipping,[],[f75]) ).

fof(f238,plain,
    ( hskp10
    | ~ c2_1(a1223) ),
    inference(consistent_polarity_flipping,[],[f76]) ).

fof(f241,plain,
    ( hskp6
    | ~ c1_1(a1215) ),
    inference(consistent_polarity_flipping,[],[f79]) ).

fof(f242,plain,
    ( hskp6
    | ~ c2_1(a1215) ),
    inference(consistent_polarity_flipping,[],[f80]) ).

fof(f243,plain,
    ( ~ hskp5
    | ~ c2_1(a1212) ),
    inference(consistent_polarity_flipping,[],[f81]) ).

fof(f244,plain,
    ( ~ hskp4
    | ~ c1_1(a1211) ),
    inference(consistent_polarity_flipping,[],[f82]) ).

fof(f245,plain,
    ( ~ hskp3
    | ~ c1_1(a1210) ),
    inference(consistent_polarity_flipping,[],[f84]) ).

fof(f246,plain,
    ( ~ hskp1
    | ~ c2_1(a1206) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f247,plain,
    ( ~ hskp0
    | ~ c2_1(a1205) ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f248,plain,
    ( c1_1(a1267)
    | ~ hskp24 ),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f249,plain,
    ( c2_1(a1267)
    | ~ hskp24 ),
    inference(consistent_polarity_flipping,[],[f89]) ).

fof(f253,plain,
    ( c2_1(a1259)
    | hskp22 ),
    inference(consistent_polarity_flipping,[],[f93]) ).

fof(f254,plain,
    ( c3_1(a1259)
    | hskp22 ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f255,plain,
    ( ~ c0_1(a1257)
    | hskp21 ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f256,plain,
    ( c1_1(a1257)
    | hskp21 ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f257,plain,
    ( c2_1(a1247)
    | hskp19 ),
    inference(consistent_polarity_flipping,[],[f98]) ).

fof(f258,plain,
    ( c3_1(a1247)
    | hskp19 ),
    inference(consistent_polarity_flipping,[],[f99]) ).

fof(f260,plain,
    ( c1_1(a1237)
    | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f101]) ).

fof(f263,plain,
    ( c2_1(a1233)
    | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f104]) ).

fof(f264,plain,
    ( c2_1(a1232)
    | ~ hskp14 ),
    inference(consistent_polarity_flipping,[],[f106]) ).

fof(f267,plain,
    ( c2_1(a1224)
    | ~ hskp11 ),
    inference(consistent_polarity_flipping,[],[f109]) ).

fof(f268,plain,
    ( c1_1(a1223)
    | hskp10 ),
    inference(consistent_polarity_flipping,[],[f110]) ).

fof(f269,plain,
    ( c3_1(a1223)
    | hskp10 ),
    inference(consistent_polarity_flipping,[],[f111]) ).

fof(f270,plain,
    ( ~ c0_1(a1217)
    | hskp8 ),
    inference(consistent_polarity_flipping,[],[f113]) ).

fof(f272,plain,
    ( c3_1(a1217)
    | hskp8 ),
    inference(consistent_polarity_flipping,[],[f115]) ).

fof(f273,plain,
    ( c1_1(a1216)
    | hskp7 ),
    inference(consistent_polarity_flipping,[],[f116]) ).

fof(f274,plain,
    ( c2_1(a1216)
    | hskp7 ),
    inference(consistent_polarity_flipping,[],[f117]) ).

fof(f275,plain,
    ( c3_1(a1216)
    | hskp7 ),
    inference(consistent_polarity_flipping,[],[f118]) ).

fof(f276,plain,
    ( c3_1(a1215)
    | hskp6 ),
    inference(consistent_polarity_flipping,[],[f119]) ).

fof(f277,plain,
    ( c3_1(a1212)
    | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f121]) ).

fof(f278,plain,
    ( c2_1(a1211)
    | ~ hskp4 ),
    inference(consistent_polarity_flipping,[],[f123]) ).

fof(f279,plain,
    ( c3_1(a1210)
    | ~ hskp3 ),
    inference(consistent_polarity_flipping,[],[f124]) ).

fof(f280,plain,
    ( c1_1(a1207)
    | ~ hskp2 ),
    inference(consistent_polarity_flipping,[],[f126]) ).

fof(f281,plain,
    ( c2_1(a1207)
    | ~ hskp2 ),
    inference(consistent_polarity_flipping,[],[f127]) ).

fof(f282,plain,
    ( c3_1(a1206)
    | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f128]) ).

fof(f283,plain,
    ( c1_1(a1205)
    | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f284,plain,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | hskp28 ),
    inference(consistent_polarity_flipping,[],[f131]) ).

fof(f288,plain,
    ! [X0] :
      ( c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | ~ c3_1(X0)
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f135]) ).

fof(f290,plain,
    ! [X0] :
      ( c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ hskp27
      | hskp0 ),
    inference(consistent_polarity_flipping,[],[f137]) ).

fof(f291,plain,
    ! [X0] :
      ( c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | hskp15
      | hskp4 ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f293,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | hskp17
      | hskp5 ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f298,plain,
    ! [X0] :
      ( c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | hskp0
      | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f145]) ).

fof(f299,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | hskp13
      | ~ hskp22 ),
    inference(consistent_polarity_flipping,[],[f146]) ).

fof(f301,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | hskp2
      | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f148]) ).

fof(f302,plain,
    ! [X0,X1] :
      ( c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | hskp26 ),
    inference(consistent_polarity_flipping,[],[f149]) ).

fof(f305,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ hskp27 ),
    inference(consistent_polarity_flipping,[],[f152]) ).

fof(f307,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ hskp25 ),
    inference(consistent_polarity_flipping,[],[f154]) ).

fof(f308,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | hskp0 ),
    inference(consistent_polarity_flipping,[],[f155]) ).

fof(f310,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f157]) ).

fof(f314,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | hskp14 ),
    inference(consistent_polarity_flipping,[],[f161]) ).

fof(f316,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | hskp14 ),
    inference(consistent_polarity_flipping,[],[f163]) ).

fof(f318,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(consistent_polarity_flipping,[],[f165]) ).

fof(f320,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | c3_1(X1)
      | c0_1(X1)
      | ~ c1_1(X1)
      | hskp5 ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f322,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c2_1(X1)
      | ~ c2_1(X0)
      | c0_1(X1)
      | hskp1 ),
    inference(consistent_polarity_flipping,[],[f169]) ).

fof(f323,plain,
    ! [X0,X1] :
      ( c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | hskp3 ),
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f325,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ hskp6 ),
    inference(consistent_polarity_flipping,[],[f172]) ).

fof(f326,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ hskp19 ),
    inference(consistent_polarity_flipping,[],[f173]) ).

fof(f328,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f175]) ).

fof(f329,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c3_1(X1)
      | ~ c2_1(X1)
      | hskp3 ),
    inference(consistent_polarity_flipping,[],[f176]) ).

fof(f331,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | c0_1(X2)
      | ~ c1_1(X2)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f178]) ).

fof(f332,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp1 ),
    inference(consistent_polarity_flipping,[],[f179]) ).

fof(f333,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | ~ c2_1(X0)
      | c0_1(X2)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | c0_1(X1)
      | ~ c1_1(X1) ),
    inference(consistent_polarity_flipping,[],[f180]) ).

fof(f334,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X2)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c0_1(X2)
      | ~ c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f181]) ).

fof(f336,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c0_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f183]) ).

fof(f337,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c3_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c0_1(X2)
      | ~ c1_1(X2) ),
    inference(consistent_polarity_flipping,[],[f184]) ).

fof(f338,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c2_1(X1)
      | ~ c3_1(X1)
      | c0_1(X2)
      | ~ c2_1(X2)
      | ~ c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f185]) ).

fof(f339,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X1)
      | c3_1(X2)
      | ~ c3_1(X1)
      | c0_1(X2)
      | ~ c1_1(X2) ),
    inference(consistent_polarity_flipping,[],[f186]) ).

fof(f340,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X2)
      | ~ c2_1(X1)
      | c0_1(X2)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f187]) ).

fof(f341,plain,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X2)
      | c0_1(X2)
      | ~ c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f188]) ).

fof(f343,definition,
    ( spl0_1
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f344,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f346,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f347,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f349,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f353,definition,
    ( spl0_4
  <=> ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f354,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f355,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f341,f353,f349,f346,f343]) ).

fof(f357,definition,
    ( spl0_5
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f358,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f360,definition,
    ( spl0_6
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f361,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f363,definition,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f364,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f365,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f340,f363,f349,f360,f357]) ).

fof(f367,definition,
    ( spl0_8
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f368,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f370,definition,
    ( spl0_9
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f371,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f372,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f339,f346,f349,f370,f367]) ).

fof(f374,definition,
    ( spl0_10
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f375,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f377,definition,
    ( spl0_11
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f378,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f379,plain,
    ( spl0_10
    | spl0_11
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f338,f346,f349,f377,f374]) ).

fof(f381,definition,
    ( spl0_12
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f382,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f384,definition,
    ( spl0_13
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f385,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f386,plain,
    ( spl0_8
    | spl0_12
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f337,f384,f349,f381,f367]) ).

fof(f388,definition,
    ( spl0_14
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f389,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f391,definition,
    ( spl0_15
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f392,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f394,definition,
    ( spl0_16
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f395,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f396,plain,
    ( spl0_14
    | spl0_15
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f336,f394,f349,f391,f388]) ).

fof(f398,definition,
    ( spl0_17
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f399,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f401,definition,
    ( spl0_18
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f402,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f408,definition,
    ( spl0_20
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f409,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f411,definition,
    ( spl0_21
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f412,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f413,plain,
    ( spl0_20
    | spl0_21
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f334,f381,f349,f411,f408]) ).

fof(f415,definition,
    ( spl0_22
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f416,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f418,definition,
    ( spl0_23
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f419,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f420,plain,
    ( spl0_10
    | spl0_22
    | ~ spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f333,f418,f349,f415,f374]) ).

fof(f422,definition,
    ( spl0_24
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f425,plain,
    ( spl0_24
    | spl0_13
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f332,f353,f349,f384,f422]) ).

fof(f426,plain,
    ( spl0_17
    | spl0_1
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f331,f388,f349,f343,f398]) ).

fof(f429,definition,
    ( spl0_25
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f432,plain,
    ( spl0_25
    | spl0_23
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f329,f353,f349,f418,f429]) ).

fof(f434,definition,
    ( spl0_26
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f438,definition,
    ( spl0_27
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f439,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f440,plain,
    ( ~ spl0_26
    | spl0_27
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f328,f384,f349,f438,f434]) ).

fof(f442,definition,
    ( spl0_28
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f447,definition,
    ( spl0_29
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f451,definition,
    ( spl0_30
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f452,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f453,plain,
    ( ~ spl0_29
    | spl0_30
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f326,f438,f349,f451,f447]) ).

fof(f455,definition,
    ( spl0_31
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f459,definition,
    ( spl0_32
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f460,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f461,plain,
    ( ~ spl0_31
    | spl0_32
    | ~ spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f325,f418,f349,f459,f455]) ).

fof(f463,definition,
    ( spl0_33
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f467,definition,
    ( spl0_34
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f468,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f471,definition,
    ( spl0_35
  <=> ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f472,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f473,plain,
    ( spl0_25
    | spl0_34
    | ~ spl0_3
    | spl0_35 ),
    inference(avatar_split_clause,[],[f323,f471,f349,f467,f429]) ).

fof(f474,plain,
    ( spl0_24
    | spl0_18
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f322,f438,f349,f401,f422]) ).

fof(f481,definition,
    ( spl0_37
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f484,plain,
    ( spl0_37
    | spl0_8
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f320,f346,f349,f367,f481]) ).

fof(f486,definition,
    ( spl0_38
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f490,plain,
    ( spl0_12
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f318,f363,f349,f381]) ).

fof(f497,definition,
    ( spl0_40
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f501,definition,
    ( spl0_41
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f502,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f503,plain,
    ( spl0_40
    | spl0_41
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f316,f360,f349,f501,f497]) ).

fof(f505,plain,
    ( spl0_40
    | spl0_14
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f314,f370,f349,f388,f497]) ).

fof(f509,plain,
    ( ~ spl0_26
    | spl0_14
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f310,f381,f349,f388,f434]) ).

fof(f518,plain,
    ( spl0_38
    | spl0_1
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f308,f411,f349,f343,f486]) ).

fof(f520,definition,
    ( spl0_44
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f524,definition,
    ( spl0_45
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f525,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f526,plain,
    ( ~ spl0_44
    | spl0_45
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f307,f411,f349,f524,f520]) ).

fof(f529,definition,
    ( spl0_46
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f532,plain,
    ( ~ spl0_46
    | spl0_10
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f305,f438,f349,f374,f529]) ).

fof(f534,definition,
    ( spl0_47
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f540,definition,
    ( spl0_48
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f544,definition,
    ( spl0_49
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f545,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f547,definition,
    ( spl0_50
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f548,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f549,plain,
    ( spl0_48
    | spl0_49
    | ~ spl0_3
    | spl0_50 ),
    inference(avatar_split_clause,[],[f302,f547,f349,f544,f540]) ).

fof(f551,definition,
    ( spl0_51
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f555,definition,
    ( spl0_52
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f558,plain,
    ( ~ spl0_51
    | spl0_52
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f301,f346,f349,f555,f551]) ).

fof(f565,definition,
    ( spl0_54
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f569,definition,
    ( spl0_55
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f572,plain,
    ( ~ spl0_54
    | spl0_55
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f299,f363,f349,f569,f565]) ).

fof(f574,definition,
    ( spl0_56
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f577,plain,
    ( ~ spl0_56
    | spl0_38
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f298,f377,f349,f486,f574]) ).

fof(f587,definition,
    ( spl0_58
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f590,plain,
    ( spl0_37
    | spl0_58
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f293,f411,f349,f587,f481]) ).

fof(f597,definition,
    ( spl0_60
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f600,plain,
    ( spl0_47
    | spl0_60
    | ~ spl0_3
    | spl0_50 ),
    inference(avatar_split_clause,[],[f291,f547,f349,f597,f534]) ).

fof(f601,plain,
    ( spl0_38
    | ~ spl0_46
    | ~ spl0_3
    | spl0_20 ),
    inference(avatar_split_clause,[],[f290,f408,f349,f529,f486]) ).

fof(f603,plain,
    ( spl0_33
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f288,f343,f349,f463]) ).

fof(f608,definition,
    ( spl0_61
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f611,plain,
    ( spl0_61
    | spl0_10
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f284,f349,f374,f608]) ).

fof(f613,definition,
    ( spl0_62
  <=> c1_1(a1205) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f615,plain,
    ( c1_1(a1205)
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f616,plain,
    ( ~ spl0_38
    | spl0_62 ),
    inference(avatar_split_clause,[],[f283,f613,f486]) ).

fof(f618,definition,
    ( spl0_63
  <=> c0_1(a1205) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f620,plain,
    ( ~ c0_1(a1205)
    | spl0_63 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f621,plain,
    ( ~ spl0_38
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f129,f618,f486]) ).

fof(f623,definition,
    ( spl0_64
  <=> c3_1(a1206) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f625,plain,
    ( c3_1(a1206)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f623]) ).

fof(f626,plain,
    ( ~ spl0_24
    | spl0_64 ),
    inference(avatar_split_clause,[],[f282,f623,f422]) ).

fof(f628,definition,
    ( spl0_65
  <=> c2_1(a1207) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f630,plain,
    ( c2_1(a1207)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f631,plain,
    ( ~ spl0_52
    | spl0_65 ),
    inference(avatar_split_clause,[],[f281,f628,f555]) ).

fof(f633,definition,
    ( spl0_66
  <=> c1_1(a1207) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f635,plain,
    ( c1_1(a1207)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f633]) ).

fof(f636,plain,
    ( ~ spl0_52
    | spl0_66 ),
    inference(avatar_split_clause,[],[f280,f633,f555]) ).

fof(f638,definition,
    ( spl0_67
  <=> c0_1(a1207) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f641,plain,
    ( ~ spl0_52
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f125,f638,f555]) ).

fof(f643,definition,
    ( spl0_68
  <=> c3_1(a1210) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f645,plain,
    ( c3_1(a1210)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f643]) ).

fof(f646,plain,
    ( ~ spl0_25
    | spl0_68 ),
    inference(avatar_split_clause,[],[f279,f643,f429]) ).

fof(f648,definition,
    ( spl0_69
  <=> c2_1(a1211) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f650,plain,
    ( c2_1(a1211)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f651,plain,
    ( ~ spl0_47
    | spl0_69 ),
    inference(avatar_split_clause,[],[f278,f648,f534]) ).

fof(f658,definition,
    ( spl0_71
  <=> c3_1(a1212) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f660,plain,
    ( c3_1(a1212)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f661,plain,
    ( ~ spl0_37
    | spl0_71 ),
    inference(avatar_split_clause,[],[f277,f658,f481]) ).

fof(f663,definition,
    ( spl0_72
  <=> c0_1(a1212) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f666,plain,
    ( ~ spl0_37
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f120,f663,f481]) ).

fof(f668,definition,
    ( spl0_73
  <=> c3_1(a1215) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f670,plain,
    ( c3_1(a1215)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f671,plain,
    ( spl0_31
    | spl0_73 ),
    inference(avatar_split_clause,[],[f276,f668,f455]) ).

fof(f673,definition,
    ( spl0_74
  <=> c3_1(a1216) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f675,plain,
    ( c3_1(a1216)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f676,plain,
    ( spl0_51
    | spl0_74 ),
    inference(avatar_split_clause,[],[f275,f673,f551]) ).

fof(f678,definition,
    ( spl0_75
  <=> c2_1(a1216) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f680,plain,
    ( c2_1(a1216)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f681,plain,
    ( spl0_51
    | spl0_75 ),
    inference(avatar_split_clause,[],[f274,f678,f551]) ).

fof(f683,definition,
    ( spl0_76
  <=> c1_1(a1216) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f685,plain,
    ( c1_1(a1216)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f686,plain,
    ( spl0_51
    | spl0_76 ),
    inference(avatar_split_clause,[],[f273,f683,f551]) ).

fof(f688,definition,
    ( spl0_77
  <=> c3_1(a1217) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f690,plain,
    ( c3_1(a1217)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f691,plain,
    ( spl0_28
    | spl0_77 ),
    inference(avatar_split_clause,[],[f272,f688,f442]) ).

fof(f698,definition,
    ( spl0_79
  <=> c0_1(a1217) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f700,plain,
    ( ~ c0_1(a1217)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f698]) ).

fof(f701,plain,
    ( spl0_28
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f270,f698,f442]) ).

fof(f708,definition,
    ( spl0_81
  <=> c3_1(a1223) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f710,plain,
    ( c3_1(a1223)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f711,plain,
    ( spl0_26
    | spl0_81 ),
    inference(avatar_split_clause,[],[f269,f708,f434]) ).

fof(f713,definition,
    ( spl0_82
  <=> c1_1(a1223) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f715,plain,
    ( c1_1(a1223)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f716,plain,
    ( spl0_26
    | spl0_82 ),
    inference(avatar_split_clause,[],[f268,f713,f434]) ).

fof(f718,definition,
    ( spl0_83
  <=> c2_1(a1224) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f720,plain,
    ( c2_1(a1224)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f718]) ).

fof(f721,plain,
    ( ~ spl0_33
    | spl0_83 ),
    inference(avatar_split_clause,[],[f267,f718,f463]) ).

fof(f733,definition,
    ( spl0_86
  <=> c2_1(a1232) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f735,plain,
    ( c2_1(a1232)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f736,plain,
    ( ~ spl0_40
    | spl0_86 ),
    inference(avatar_split_clause,[],[f264,f733,f497]) ).

fof(f738,definition,
    ( spl0_87
  <=> c0_1(a1232) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f740,plain,
    ( ~ c0_1(a1232)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f741,plain,
    ( ~ spl0_40
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f105,f738,f497]) ).

fof(f743,definition,
    ( spl0_88
  <=> c2_1(a1233) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f746,plain,
    ( ~ spl0_60
    | spl0_88 ),
    inference(avatar_split_clause,[],[f263,f743,f597]) ).

fof(f758,definition,
    ( spl0_91
  <=> c1_1(a1237) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f760,plain,
    ( c1_1(a1237)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f761,plain,
    ( ~ spl0_58
    | spl0_91 ),
    inference(avatar_split_clause,[],[f260,f758,f587]) ).

fof(f768,definition,
    ( spl0_93
  <=> c3_1(a1247) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f770,plain,
    ( c3_1(a1247)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f771,plain,
    ( spl0_29
    | spl0_93 ),
    inference(avatar_split_clause,[],[f258,f768,f447]) ).

fof(f773,definition,
    ( spl0_94
  <=> c2_1(a1247) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f775,plain,
    ( c2_1(a1247)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f776,plain,
    ( spl0_29
    | spl0_94 ),
    inference(avatar_split_clause,[],[f257,f773,f447]) ).

fof(f783,definition,
    ( spl0_96
  <=> c1_1(a1257) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f785,plain,
    ( c1_1(a1257)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f786,plain,
    ( spl0_56
    | spl0_96 ),
    inference(avatar_split_clause,[],[f256,f783,f574]) ).

fof(f788,definition,
    ( spl0_97
  <=> c0_1(a1257) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f790,plain,
    ( ~ c0_1(a1257)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f788]) ).

fof(f791,plain,
    ( spl0_56
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f255,f788,f574]) ).

fof(f793,definition,
    ( spl0_98
  <=> c3_1(a1259) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f795,plain,
    ( c3_1(a1259)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f796,plain,
    ( spl0_54
    | spl0_98 ),
    inference(avatar_split_clause,[],[f254,f793,f565]) ).

fof(f798,definition,
    ( spl0_99
  <=> c2_1(a1259) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f801,plain,
    ( spl0_54
    | spl0_99 ),
    inference(avatar_split_clause,[],[f253,f798,f565]) ).

fof(f818,definition,
    ( spl0_103
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f822,definition,
    ( spl0_104
  <=> c2_1(a1267) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f824,plain,
    ( c2_1(a1267)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f825,plain,
    ( ~ spl0_103
    | spl0_104 ),
    inference(avatar_split_clause,[],[f249,f822,f818]) ).

fof(f827,definition,
    ( spl0_105
  <=> c1_1(a1267) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f829,plain,
    ( c1_1(a1267)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f830,plain,
    ( ~ spl0_103
    | spl0_105 ),
    inference(avatar_split_clause,[],[f248,f827,f818]) ).

fof(f832,definition,
    ( spl0_106
  <=> c2_1(a1205) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f835,plain,
    ( ~ spl0_106
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f247,f486,f832]) ).

fof(f837,definition,
    ( spl0_107
  <=> c2_1(a1206) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f839,plain,
    ( ~ c2_1(a1206)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f840,plain,
    ( ~ spl0_107
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f246,f422,f837]) ).

fof(f842,definition,
    ( spl0_108
  <=> c0_1(a1206) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f844,plain,
    ( c0_1(a1206)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f845,plain,
    ( spl0_108
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f85,f422,f842]) ).

fof(f847,definition,
    ( spl0_109
  <=> c1_1(a1210) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f849,plain,
    ( ~ c1_1(a1210)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f850,plain,
    ( ~ spl0_109
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f245,f429,f847]) ).

fof(f852,definition,
    ( spl0_110
  <=> c0_1(a1210) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f854,plain,
    ( c0_1(a1210)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f855,plain,
    ( spl0_110
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f83,f429,f852]) ).

fof(f857,definition,
    ( spl0_111
  <=> c1_1(a1211) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f859,plain,
    ( ~ c1_1(a1211)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f857]) ).

fof(f860,plain,
    ( ~ spl0_111
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f244,f534,f857]) ).

fof(f862,definition,
    ( spl0_112
  <=> c2_1(a1212) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f864,plain,
    ( ~ c2_1(a1212)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f862]) ).

fof(f865,plain,
    ( ~ spl0_112
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f243,f481,f862]) ).

fof(f867,definition,
    ( spl0_113
  <=> c2_1(a1215) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f869,plain,
    ( ~ c2_1(a1215)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f867]) ).

fof(f870,plain,
    ( ~ spl0_113
    | spl0_31 ),
    inference(avatar_split_clause,[],[f242,f455,f867]) ).

fof(f872,definition,
    ( spl0_114
  <=> c1_1(a1215) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f874,plain,
    ( ~ c1_1(a1215)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f872]) ).

fof(f875,plain,
    ( ~ spl0_114
    | spl0_31 ),
    inference(avatar_split_clause,[],[f241,f455,f872]) ).

fof(f887,definition,
    ( spl0_117
  <=> c2_1(a1223) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f889,plain,
    ( ~ c2_1(a1223)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f890,plain,
    ( ~ spl0_117
    | spl0_26 ),
    inference(avatar_split_clause,[],[f238,f434,f887]) ).

fof(f892,definition,
    ( spl0_118
  <=> c3_1(a1224) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f894,plain,
    ( ~ c3_1(a1224)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f895,plain,
    ( ~ spl0_118
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f237,f463,f892]) ).

fof(f897,definition,
    ( spl0_119
  <=> c1_1(a1224) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f899,plain,
    ( ~ c1_1(a1224)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f900,plain,
    ( ~ spl0_119
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f236,f463,f897]) ).

fof(f912,definition,
    ( spl0_122
  <=> c2_1(a1229) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f914,plain,
    ( ~ c2_1(a1229)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f912]) ).

fof(f915,plain,
    ( ~ spl0_122
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f234,f569,f912]) ).

fof(f917,definition,
    ( spl0_123
  <=> c0_1(a1229) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f919,plain,
    ( c0_1(a1229)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f920,plain,
    ( spl0_123
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f70,f569,f917]) ).

fof(f922,definition,
    ( spl0_124
  <=> c3_1(a1232) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f924,plain,
    ( ~ c3_1(a1232)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f922]) ).

fof(f925,plain,
    ( ~ spl0_124
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f233,f497,f922]) ).

fof(f927,definition,
    ( spl0_125
  <=> c1_1(a1233) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f929,plain,
    ( ~ c1_1(a1233)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f930,plain,
    ( ~ spl0_125
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f232,f597,f927]) ).

fof(f932,definition,
    ( spl0_126
  <=> c0_1(a1233) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f934,plain,
    ( c0_1(a1233)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f932]) ).

fof(f935,plain,
    ( spl0_126
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f67,f597,f932]) ).

fof(f942,definition,
    ( spl0_128
  <=> c3_1(a1237) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f944,plain,
    ( ~ c3_1(a1237)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f942]) ).

fof(f945,plain,
    ( ~ spl0_128
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f230,f587,f942]) ).

fof(f947,definition,
    ( spl0_129
  <=> c0_1(a1237) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f949,plain,
    ( c0_1(a1237)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f947]) ).

fof(f950,plain,
    ( spl0_129
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f64,f587,f947]) ).

fof(f962,definition,
    ( spl0_132
  <=> c1_1(a1247) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f964,plain,
    ( ~ c1_1(a1247)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f962]) ).

fof(f965,plain,
    ( ~ spl0_132
    | spl0_29 ),
    inference(avatar_split_clause,[],[f227,f447,f962]) ).

fof(f977,definition,
    ( spl0_135
  <=> c3_1(a1257) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f980,plain,
    ( ~ spl0_135
    | spl0_56 ),
    inference(avatar_split_clause,[],[f224,f574,f977]) ).

fof(f987,definition,
    ( spl0_137
  <=> c0_1(a1267) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f989,plain,
    ( c0_1(a1267)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f987]) ).

fof(f990,plain,
    ( spl0_137
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f56,f818,f987]) ).

fof(f992,definition,
    ( spl0_138
  <=> c3_1(a1204) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f994,plain,
    ( ~ c3_1(a1204)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f992]) ).

fof(f995,plain,
    ( ~ spl0_138
    | spl0_44 ),
    inference(avatar_split_clause,[],[f222,f520,f992]) ).

fof(f997,definition,
    ( spl0_139
  <=> c2_1(a1204) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f999,plain,
    ( ~ c2_1(a1204)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f997]) ).

fof(f1000,plain,
    ( ~ spl0_139
    | spl0_44 ),
    inference(avatar_split_clause,[],[f221,f520,f997]) ).

fof(f1002,definition,
    ( spl0_140
  <=> c0_1(a1204) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1004,plain,
    ( c0_1(a1204)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f1002]) ).

fof(f1005,plain,
    ( spl0_140
    | spl0_44 ),
    inference(avatar_split_clause,[],[f220,f520,f1002]) ).

fof(f1007,definition,
    ( spl0_141
  <=> c2_1(a1208) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f1010,plain,
    ( ~ spl0_141
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f219,f540,f1007]) ).

fof(f1012,definition,
    ( spl0_142
  <=> c1_1(a1208) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f1014,plain,
    ( ~ c1_1(a1208)
    | spl0_142 ),
    inference(avatar_component_clause,[],[f1012]) ).

fof(f1015,plain,
    ( ~ spl0_142
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f218,f540,f1012]) ).

fof(f1017,definition,
    ( spl0_143
  <=> c0_1(a1208) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f1019,plain,
    ( c0_1(a1208)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f1017]) ).

fof(f1020,plain,
    ( spl0_143
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f50,f540,f1017]) ).

fof(f1022,definition,
    ( spl0_144
  <=> c3_1(a1213) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1024,plain,
    ( ~ c3_1(a1213)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f1022]) ).

fof(f1025,plain,
    ( ~ spl0_144
    | spl0_46 ),
    inference(avatar_split_clause,[],[f217,f529,f1022]) ).

fof(f1027,definition,
    ( spl0_145
  <=> c2_1(a1213) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1029,plain,
    ( ~ c2_1(a1213)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f1027]) ).

fof(f1030,plain,
    ( ~ spl0_145
    | spl0_46 ),
    inference(avatar_split_clause,[],[f216,f529,f1027]) ).

fof(f1032,definition,
    ( spl0_146
  <=> c1_1(a1213) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1034,plain,
    ( ~ c1_1(a1213)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f1032]) ).

fof(f1035,plain,
    ( ~ spl0_146
    | spl0_46 ),
    inference(avatar_split_clause,[],[f215,f529,f1032]) ).

fof(f1037,definition,
    ( spl0_147
  <=> c3_1(a1214) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1039,plain,
    ( ~ c3_1(a1214)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f1037]) ).

fof(f1040,plain,
    ( ~ spl0_147
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f214,f608,f1037]) ).

fof(f1042,definition,
    ( spl0_148
  <=> c1_1(a1214) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1044,plain,
    ( ~ c1_1(a1214)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f1042]) ).

fof(f1045,plain,
    ( ~ spl0_148
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f213,f608,f1042]) ).

fof(f1047,definition,
    ( spl0_149
  <=> c0_1(a1214) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1049,plain,
    ( c0_1(a1214)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f1047]) ).

fof(f1050,plain,
    ( spl0_149
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f44,f608,f1047]) ).

fof(f1054,plain,
    ( spl0_52
    | ~ spl0_29
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f209,f529,f447,f555]) ).

fof(f1056,plain,
    ( ~ spl0_28
    | ~ spl0_31
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f207,f565,f455,f442]) ).

fof(f1058,plain,
    ( spl0_40
    | ~ spl0_29
    | spl0_103 ),
    inference(avatar_split_clause,[],[f205,f818,f447,f497]) ).

fof(f1061,plain,
    ( spl0_37
    | ~ spl0_31
    | spl0_60 ),
    inference(avatar_split_clause,[],[f203,f597,f455,f481]) ).

fof(f1062,plain,
    ( spl0_24
    | ~ spl0_44
    | spl0_48 ),
    inference(avatar_split_clause,[],[f202,f540,f520,f422]) ).

fof(f1063,plain,
    ( spl0_103
    | spl0_61
    | spl0_48 ),
    inference(avatar_split_clause,[],[f31,f540,f608,f818]) ).

fof(f1088,plain,
    ( spl0_3
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f6,f818,f349]) ).

fof(f1090,plain,
    ( spl0_3
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f4,f540,f349]) ).

fof(f1092,plain,
    ( spl0_3
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f2,f608,f349]) ).

fof(f1093,plain,
    ( ~ spl0_56
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f189,f520,f574]) ).

fof(f1094,plain,
    ( c3_1(a1213)
    | c2_1(a1213)
    | ~ spl0_4
    | spl0_146 ),
    inference(resolution,[],[f354,f1034]) ).

fof(f1102,plain,
    ( c2_1(a1215)
    | c0_1(a1215)
    | ~ spl0_1
    | ~ spl0_73 ),
    inference(resolution,[],[f344,f670]) ).

fof(f1103,plain,
    ( c0_1(a1215)
    | ~ spl0_1
    | ~ spl0_73
    | spl0_113 ),
    inference(forward_subsumption_resolution,[],[f1102,f869]) ).

fof(f1104,plain,
    ( c2_1(a1206)
    | c1_1(a1206)
    | ~ spl0_7
    | ~ spl0_108 ),
    inference(resolution,[],[f364,f844]) ).

fof(f1106,plain,
    ( c2_1(a1215)
    | c1_1(a1215)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_73
    | spl0_113 ),
    inference(resolution,[],[f364,f1103]) ).

fof(f1107,plain,
    ( c1_1(a1215)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_73
    | spl0_113 ),
    inference(forward_subsumption_resolution,[],[f1106,f869]) ).

fof(f1108,plain,
    ( c1_1(a1206)
    | ~ spl0_7
    | spl0_107
    | ~ spl0_108 ),
    inference(forward_subsumption_resolution,[],[f1104,f839]) ).

fof(f1112,plain,
    ( c3_1(a1232)
    | c0_1(a1232)
    | ~ spl0_5
    | ~ spl0_86 ),
    inference(resolution,[],[f358,f735]) ).

fof(f1119,plain,
    ( c0_1(a1232)
    | ~ spl0_5
    | ~ spl0_86
    | spl0_124 ),
    inference(forward_subsumption_resolution,[],[f1112,f924]) ).

fof(f1124,plain,
    ( c1_1(a1224)
    | c3_1(a1224)
    | ~ spl0_6
    | ~ spl0_83 ),
    inference(resolution,[],[f361,f720]) ).

fof(f1125,plain,
    ( c1_1(a1211)
    | c3_1(a1211)
    | ~ spl0_6
    | ~ spl0_69 ),
    inference(resolution,[],[f361,f650]) ).

fof(f1127,plain,
    ( c3_1(a1211)
    | ~ spl0_6
    | ~ spl0_69
    | spl0_111 ),
    inference(forward_subsumption_resolution,[],[f1125,f859]) ).

fof(f1140,plain,
    ( c3_1(a1257)
    | c0_1(a1257)
    | ~ spl0_8
    | ~ spl0_96 ),
    inference(resolution,[],[f368,f785]) ).

fof(f1143,plain,
    ( c3_1(a1205)
    | c0_1(a1205)
    | ~ spl0_8
    | ~ spl0_62 ),
    inference(resolution,[],[f368,f615]) ).

fof(f1146,plain,
    ( c3_1(a1205)
    | ~ spl0_8
    | ~ spl0_62
    | spl0_63 ),
    inference(forward_subsumption_resolution,[],[f1143,f620]) ).

fof(f1150,plain,
    ( ~ c0_1(a1206)
    | c2_1(a1206)
    | ~ spl0_9
    | ~ spl0_64 ),
    inference(resolution,[],[f371,f625]) ).

fof(f1151,plain,
    ( ~ c0_1(a1215)
    | c2_1(a1215)
    | ~ spl0_9
    | ~ spl0_73 ),
    inference(resolution,[],[f371,f670]) ).

fof(f1153,plain,
    ( c2_1(a1206)
    | ~ spl0_9
    | ~ spl0_64
    | ~ spl0_108 ),
    inference(forward_subsumption_resolution,[],[f1150,f844]) ).

fof(f1159,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f382,f375]) ).

fof(f1167,plain,
    ( c0_1(a1207)
    | ~ c1_1(a1207)
    | ~ spl0_17
    | ~ spl0_65 ),
    inference(resolution,[],[f399,f630]) ).

fof(f1172,plain,
    ( ~ c2_1(a1267)
    | ~ c1_1(a1267)
    | ~ spl0_14
    | ~ spl0_137 ),
    inference(resolution,[],[f389,f989]) ).

fof(f1180,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f361,f1159]) ).

fof(f1184,plain,
    ( ~ c2_1(a1211)
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_69
    | spl0_111 ),
    inference(resolution,[],[f1127,f1159]) ).

fof(f1187,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_69
    | spl0_111 ),
    inference(forward_subsumption_resolution,[],[f1184,f650]) ).

fof(f1188,plain,
    ( ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_69
    | spl0_111 ),
    inference(avatar_contradiction_clause,[],[f1187]) ).

fof(f1191,plain,
    ( c3_1(a1214)
    | c1_1(a1214)
    | ~ spl0_2
    | ~ spl0_149 ),
    inference(resolution,[],[f1049,f347]) ).

fof(f1192,plain,
    ( c1_1(a1214)
    | ~ spl0_2
    | spl0_147
    | ~ spl0_149 ),
    inference(forward_subsumption_resolution,[],[f1191,f1039]) ).

fof(f1198,plain,
    ( c0_1(a1207)
    | ~ spl0_17
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(forward_subsumption_resolution,[],[f1167,f635]) ).

fof(f1199,plain,
    ( spl0_148
    | ~ spl0_2
    | spl0_147
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1192,f1047,f1037,f346,f1042]) ).

fof(f1200,plain,
    ( spl0_67
    | ~ spl0_17
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1198,f633,f628,f398,f638]) ).

fof(f1228,plain,
    ( ~ c0_1(a1223)
    | ~ c1_1(a1223)
    | ~ spl0_21
    | ~ spl0_81 ),
    inference(resolution,[],[f412,f710]) ).

fof(f1230,plain,
    ( ~ c0_1(a1206)
    | ~ c1_1(a1206)
    | ~ spl0_21
    | ~ spl0_64 ),
    inference(resolution,[],[f412,f625]) ).

fof(f1231,plain,
    ( ~ c1_1(a1206)
    | ~ spl0_21
    | ~ spl0_64
    | ~ spl0_108 ),
    inference(forward_subsumption_resolution,[],[f1230,f844]) ).

fof(f1232,plain,
    ( ~ c0_1(a1223)
    | ~ spl0_21
    | ~ spl0_81
    | ~ spl0_82 ),
    inference(forward_subsumption_resolution,[],[f1228,f715]) ).

fof(f1233,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_21
    | ~ spl0_64
    | spl0_107
    | ~ spl0_108 ),
    inference(forward_subsumption_resolution,[],[f1231,f1108]) ).

fof(f1234,plain,
    ( ~ spl0_7
    | ~ spl0_21
    | ~ spl0_64
    | spl0_107
    | ~ spl0_108 ),
    inference(avatar_contradiction_clause,[],[f1233]) ).

fof(f1235,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_17
    | ~ spl0_45 ),
    inference(forward_subsumption_resolution,[],[f525,f399]) ).

fof(f1245,plain,
    ( c0_1(a1232)
    | ~ spl0_17
    | ~ spl0_45
    | ~ spl0_86 ),
    inference(resolution,[],[f1235,f735]) ).

fof(f1251,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_45
    | ~ spl0_86
    | spl0_87 ),
    inference(forward_subsumption_resolution,[],[f1245,f740]) ).

fof(f1252,plain,
    ( ~ spl0_17
    | ~ spl0_45
    | ~ spl0_86
    | spl0_87 ),
    inference(avatar_contradiction_clause,[],[f1251]) ).

fof(f1255,plain,
    ( spl0_114
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_73
    | spl0_113 ),
    inference(avatar_split_clause,[],[f1107,f867,f668,f363,f343,f872]) ).

fof(f1256,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f402,f364]) ).

fof(f1258,definition,
    ( spl0_151
  <=> c0_1(a1215) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1260,plain,
    ( c0_1(a1215)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f1258]) ).

fof(f1264,plain,
    ( ~ c2_1(a1259)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_98 ),
    inference(resolution,[],[f795,f1159]) ).

fof(f1265,plain,
    ( ~ spl0_99
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1264,f793,f381,f374,f798]) ).

fof(f1275,definition,
    ( spl0_153
  <=> c0_1(a1216) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1283,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f548,f1159]) ).

fof(f1293,plain,
    ( spl0_118
    | spl0_119
    | ~ spl0_6
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1124,f718,f360,f897,f892]) ).

fof(f1314,plain,
    ( ! [X0] : ~ c2_1(X0)
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f1283,f1180]) ).

fof(f1317,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_50
    | ~ spl0_86 ),
    inference(backward_subsumption_resolution,[],[f735,f1314]) ).

fof(f1323,plain,
    ( ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_50
    | ~ spl0_86 ),
    inference(avatar_contradiction_clause,[],[f1317]) ).

fof(f1327,plain,
    ( ~ c2_1(a1233)
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12
    | spl0_125 ),
    inference(resolution,[],[f929,f1180]) ).

fof(f1334,plain,
    ( ~ spl0_88
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12
    | spl0_125 ),
    inference(avatar_split_clause,[],[f1327,f927,f381,f374,f360,f743]) ).

fof(f1343,plain,
    ( c1_1(a1247)
    | c0_1(a1247)
    | ~ spl0_20
    | ~ spl0_93 ),
    inference(resolution,[],[f770,f409]) ).

fof(f1344,plain,
    ( ~ c2_1(a1247)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_93 ),
    inference(resolution,[],[f770,f1159]) ).

fof(f1345,plain,
    ( ~ spl0_94
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1344,f768,f381,f374,f773]) ).

fof(f1347,definition,
    ( spl0_154
  <=> c0_1(a1247) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1360,plain,
    ( spl0_107
    | ~ spl0_9
    | ~ spl0_64
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1153,f842,f623,f370,f837]) ).

fof(f1367,definition,
    ( spl0_155
  <=> c1_1(a1206) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1376,plain,
    ( ~ spl0_105
    | ~ spl0_104
    | ~ spl0_14
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1172,f987,f388,f822,f827]) ).

fof(f1380,plain,
    ( spl0_145
    | spl0_144
    | ~ spl0_4
    | spl0_146 ),
    inference(avatar_split_clause,[],[f1094,f1032,f353,f1022,f1027]) ).

fof(f1382,definition,
    ( spl0_156
  <=> c3_1(a1267) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1388,plain,
    ( c3_1(a1257)
    | ~ spl0_8
    | ~ spl0_96
    | spl0_97 ),
    inference(forward_subsumption_resolution,[],[f1140,f790]) ).

fof(f1396,plain,
    ( spl0_135
    | ~ spl0_8
    | ~ spl0_96
    | spl0_97 ),
    inference(avatar_split_clause,[],[f1388,f788,f783,f367,f977]) ).

fof(f1408,plain,
    ( c2_1(a1215)
    | ~ spl0_7
    | ~ spl0_18
    | spl0_114 ),
    inference(resolution,[],[f1256,f874]) ).

fof(f1469,plain,
    ( c2_1(a1214)
    | c1_1(a1214)
    | ~ spl0_7
    | ~ spl0_149 ),
    inference(resolution,[],[f364,f1049]) ).

fof(f1470,plain,
    ( c2_1(a1208)
    | c1_1(a1208)
    | ~ spl0_7
    | ~ spl0_143 ),
    inference(resolution,[],[f364,f1019]) ).

fof(f1471,plain,
    ( c2_1(a1204)
    | c1_1(a1204)
    | ~ spl0_7
    | ~ spl0_140 ),
    inference(resolution,[],[f364,f1004]) ).

fof(f1481,plain,
    ( c1_1(a1204)
    | ~ spl0_7
    | spl0_139
    | ~ spl0_140 ),
    inference(forward_subsumption_resolution,[],[f1471,f999]) ).

fof(f1488,definition,
    ( spl0_159
  <=> c2_1(a1214) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1492,plain,
    ( spl0_148
    | spl0_159
    | ~ spl0_7
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1469,f1047,f363,f1488,f1042]) ).

fof(f1498,plain,
    ( c2_1(a1208)
    | ~ spl0_7
    | spl0_142
    | ~ spl0_143 ),
    inference(forward_subsumption_resolution,[],[f1470,f1014]) ).

fof(f1499,plain,
    ( spl0_141
    | ~ spl0_7
    | spl0_142
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1498,f1017,f1012,f363,f1007]) ).

fof(f1543,plain,
    ( c2_1(a1215)
    | c1_1(a1215)
    | ~ spl0_7
    | ~ spl0_151 ),
    inference(resolution,[],[f1260,f364]) ).

fof(f1547,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f378,f354]) ).

fof(f1583,definition,
    ( spl0_162
  <=> c3_1(a1233) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1585,plain,
    ( c3_1(a1233)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1583]) ).

fof(f1593,plain,
    ( ~ c0_1(a1210)
    | ~ c2_1(a1210)
    | ~ spl0_12
    | ~ spl0_68 ),
    inference(resolution,[],[f382,f645]) ).

fof(f1596,plain,
    ( ~ c0_1(a1216)
    | ~ c2_1(a1216)
    | ~ spl0_12
    | ~ spl0_74 ),
    inference(resolution,[],[f382,f675]) ).

fof(f1597,plain,
    ( ~ c0_1(a1216)
    | ~ spl0_12
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(forward_subsumption_resolution,[],[f1596,f680]) ).

fof(f1598,plain,
    ( ~ c2_1(a1210)
    | ~ spl0_12
    | ~ spl0_68
    | ~ spl0_110 ),
    inference(forward_subsumption_resolution,[],[f1593,f854]) ).

fof(f1600,plain,
    ( ~ spl0_153
    | ~ spl0_12
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1597,f678,f673,f381,f1275]) ).

fof(f1614,definition,
    ( spl0_163
  <=> c2_1(a1210) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1645,definition,
    ( spl0_164
  <=> c2_1(a1237) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1677,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_4
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[],[f452,f354]) ).

fof(f1682,plain,
    ( c2_1(a1204)
    | ~ spl0_4
    | ~ spl0_30
    | spl0_138 ),
    inference(resolution,[],[f1677,f994]) ).

fof(f1696,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_30
    | spl0_138
    | spl0_139 ),
    inference(forward_subsumption_resolution,[],[f1682,f999]) ).

fof(f1697,plain,
    ( ~ spl0_4
    | ~ spl0_30
    | spl0_138
    | spl0_139 ),
    inference(avatar_contradiction_clause,[],[f1696]) ).

fof(f1716,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[],[f502,f1547]) ).

fof(f1721,plain,
    ( c2_1(a1212)
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_41
    | ~ spl0_71 ),
    inference(resolution,[],[f1716,f660]) ).

fof(f1723,plain,
    ( c2_1(a1205)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_41
    | ~ spl0_62
    | spl0_63 ),
    inference(resolution,[],[f1716,f1146]) ).

fof(f1740,plain,
    ( spl0_112
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_41
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1721,f658,f501,f377,f353,f862]) ).

fof(f1742,plain,
    ( spl0_106
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_41
    | ~ spl0_62
    | spl0_63 ),
    inference(avatar_split_clause,[],[f1723,f618,f613,f501,f377,f367,f353,f832]) ).

fof(f1744,definition,
    ( spl0_165
  <=> c0_1(a1223) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1758,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[],[f416,f1547]) ).

fof(f1838,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_12
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f419,f382]) ).

fof(f1864,plain,
    ( ~ c2_1(a1214)
    | ~ spl0_12
    | ~ spl0_23
    | ~ spl0_149 ),
    inference(resolution,[],[f1838,f1049]) ).

fof(f1867,plain,
    ( ~ c2_1(a1267)
    | ~ spl0_12
    | ~ spl0_23
    | ~ spl0_137 ),
    inference(resolution,[],[f1838,f989]) ).

fof(f1872,plain,
    ( ~ c2_1(a1233)
    | ~ spl0_12
    | ~ spl0_23
    | ~ spl0_126 ),
    inference(resolution,[],[f1838,f934]) ).

fof(f1881,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_23
    | ~ spl0_104
    | ~ spl0_137 ),
    inference(forward_subsumption_resolution,[],[f1867,f824]) ).

fof(f1882,plain,
    ( ~ spl0_12
    | ~ spl0_23
    | ~ spl0_104
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f1881]) ).

fof(f1894,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_7
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[],[f460,f364]) ).

fof(f1895,plain,
    ( c0_1(a1247)
    | ~ spl0_20
    | ~ spl0_93
    | spl0_132 ),
    inference(forward_subsumption_resolution,[],[f1343,f964]) ).

fof(f1897,plain,
    ( spl0_154
    | ~ spl0_20
    | ~ spl0_93
    | spl0_132 ),
    inference(avatar_split_clause,[],[f1895,f962,f768,f408,f1347]) ).

fof(f1903,plain,
    ( ~ c0_1(a1247)
    | ~ c2_1(a1247)
    | ~ spl0_12
    | ~ spl0_93 ),
    inference(resolution,[],[f770,f382]) ).

fof(f1906,plain,
    ( ~ c0_1(a1247)
    | ~ spl0_12
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(forward_subsumption_resolution,[],[f1903,f775]) ).

fof(f1908,plain,
    ( ~ spl0_154
    | ~ spl0_12
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1906,f773,f768,f381,f1347]) ).

fof(f1916,plain,
    ( spl0_87
    | ~ spl0_5
    | ~ spl0_86
    | spl0_124 ),
    inference(avatar_split_clause,[],[f1119,f922,f733,f357,f738]) ).

fof(f1922,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[],[f460,f1547]) ).

fof(f1941,plain,
    ( ! [X1] : c2_1(X1)
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_22
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[],[f1922,f1758]) ).

fof(f1943,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_22
    | ~ spl0_32
    | spl0_139 ),
    inference(backward_subsumption_resolution,[],[f999,f1941]) ).

fof(f1950,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_22
    | ~ spl0_32
    | spl0_139 ),
    inference(avatar_contradiction_clause,[],[f1943]) ).

fof(f1980,plain,
    ( spl0_113
    | ~ spl0_151
    | ~ spl0_9
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1151,f668,f370,f1258,f867]) ).

fof(f1983,plain,
    ( c1_1(a1215)
    | c0_1(a1215)
    | ~ spl0_20
    | ~ spl0_73 ),
    inference(resolution,[],[f670,f409]) ).

fof(f1984,plain,
    ( spl0_151
    | spl0_114
    | ~ spl0_20
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1983,f668,f408,f872,f1258]) ).

fof(f2023,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_16
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f395,f409]) ).

fof(f2059,plain,
    ( ~ c3_1(a1233)
    | ~ spl0_16
    | ~ spl0_20
    | spl0_125 ),
    inference(resolution,[],[f2023,f929]) ).

fof(f2064,plain,
    ( ~ spl0_162
    | ~ spl0_16
    | ~ spl0_20
    | spl0_125 ),
    inference(avatar_split_clause,[],[f2059,f927,f408,f394,f1583]) ).

fof(f2070,plain,
    ( c2_1(a1223)
    | c0_1(a1223)
    | ~ spl0_1
    | ~ spl0_81 ),
    inference(resolution,[],[f344,f710]) ).

fof(f2071,plain,
    ( c2_1(a1215)
    | c0_1(a1215)
    | ~ spl0_1
    | ~ spl0_73 ),
    inference(resolution,[],[f344,f670]) ).

fof(f2072,plain,
    ( c2_1(a1212)
    | c0_1(a1212)
    | ~ spl0_1
    | ~ spl0_71 ),
    inference(resolution,[],[f344,f660]) ).

fof(f2078,plain,
    ( c0_1(a1212)
    | ~ spl0_1
    | ~ spl0_71
    | spl0_112 ),
    inference(forward_subsumption_resolution,[],[f2072,f864]) ).

fof(f2116,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f385,f371]) ).

fof(f2120,plain,
    ( ~ c0_1(a1229)
    | ~ spl0_9
    | ~ spl0_13
    | spl0_122 ),
    inference(resolution,[],[f2116,f914]) ).

fof(f2125,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_13
    | spl0_122
    | ~ spl0_123 ),
    inference(forward_subsumption_resolution,[],[f2120,f919]) ).

fof(f2126,plain,
    ( ~ spl0_9
    | ~ spl0_13
    | spl0_122
    | ~ spl0_123 ),
    inference(avatar_contradiction_clause,[],[f2125]) ).

fof(f2139,plain,
    ( ~ spl0_165
    | ~ spl0_21
    | ~ spl0_81
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1232,f713,f708,f411,f1744]) ).

fof(f2199,plain,
    ( ~ c0_1(a1216)
    | ~ c1_1(a1216)
    | ~ spl0_21
    | ~ spl0_74 ),
    inference(resolution,[],[f412,f675]) ).

fof(f2205,plain,
    ( ~ c2_1(a1214)
    | c3_1(a1214)
    | ~ spl0_23
    | ~ spl0_149 ),
    inference(resolution,[],[f419,f1049]) ).

fof(f2210,plain,
    ( ~ c2_1(a1237)
    | c3_1(a1237)
    | ~ spl0_23
    | ~ spl0_129 ),
    inference(resolution,[],[f419,f949]) ).

fof(f2219,plain,
    ( ~ c2_1(a1237)
    | ~ spl0_23
    | spl0_128
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f2210,f944]) ).

fof(f2227,plain,
    ( ~ spl0_164
    | ~ spl0_23
    | spl0_128
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2219,f947,f942,f418,f1645]) ).

fof(f2236,plain,
    ( spl0_165
    | spl0_117
    | ~ spl0_1
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f2070,f708,f343,f887,f1744]) ).

fof(f2323,plain,
    ( c0_1(a1247)
    | ~ c2_1(a1247)
    | ~ spl0_10
    | ~ spl0_93 ),
    inference(resolution,[],[f375,f770]) ).

fof(f2348,plain,
    ( c0_1(a1247)
    | ~ spl0_10
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(forward_subsumption_resolution,[],[f2323,f775]) ).

fof(f2356,plain,
    ( spl0_154
    | ~ spl0_10
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f2348,f773,f768,f374,f1347]) ).

fof(f2371,plain,
    ( ~ c0_1(a1204)
    | ~ spl0_7
    | ~ spl0_32
    | spl0_139 ),
    inference(resolution,[],[f1894,f999]) ).

fof(f2375,plain,
    ( ~ c0_1(a1223)
    | ~ spl0_7
    | ~ spl0_32
    | spl0_117 ),
    inference(resolution,[],[f1894,f889]) ).

fof(f2380,plain,
    ( ~ spl0_165
    | ~ spl0_7
    | ~ spl0_32
    | spl0_117 ),
    inference(avatar_split_clause,[],[f2375,f887,f459,f363,f1744]) ).

fof(f2383,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_32
    | spl0_139
    | ~ spl0_140 ),
    inference(forward_subsumption_resolution,[],[f2371,f1004]) ).

fof(f2384,plain,
    ( ~ spl0_7
    | ~ spl0_32
    | spl0_139
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f2383]) ).

fof(f2399,plain,
    ( c1_1(a1247)
    | ~ c2_1(a1247)
    | ~ spl0_15
    | ~ spl0_93 ),
    inference(resolution,[],[f392,f770]) ).

fof(f2421,plain,
    ( ~ c3_1(a1247)
    | ~ spl0_16
    | ~ spl0_20
    | spl0_132 ),
    inference(resolution,[],[f2023,f964]) ).

fof(f2430,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_20
    | ~ spl0_93
    | spl0_132 ),
    inference(forward_subsumption_resolution,[],[f2421,f770]) ).

fof(f2431,plain,
    ( ~ spl0_16
    | ~ spl0_20
    | ~ spl0_93
    | spl0_132 ),
    inference(avatar_contradiction_clause,[],[f2430]) ).

fof(f2433,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f344,f375]) ).

fof(f2439,plain,
    ( spl0_72
    | ~ spl0_1
    | ~ spl0_71
    | spl0_112 ),
    inference(avatar_split_clause,[],[f2078,f862,f658,f343,f663]) ).

fof(f2440,plain,
    ( c1_1(a1247)
    | ~ spl0_15
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(forward_subsumption_resolution,[],[f2399,f775]) ).

fof(f2447,plain,
    ( spl0_132
    | ~ spl0_15
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f2440,f773,f768,f391,f962]) ).

fof(f2451,plain,
    ( c2_1(a1213)
    | ~ spl0_7
    | ~ spl0_18
    | spl0_146 ),
    inference(resolution,[],[f1256,f1034]) ).

fof(f2462,plain,
    ( c0_1(a1223)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_81 ),
    inference(resolution,[],[f2433,f710]) ).

fof(f2467,plain,
    ( c0_1(a1217)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_77 ),
    inference(resolution,[],[f2433,f690]) ).

fof(f2470,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_77
    | spl0_79 ),
    inference(forward_subsumption_resolution,[],[f2467,f700]) ).

fof(f2471,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_77
    | spl0_79 ),
    inference(avatar_contradiction_clause,[],[f2470]) ).

fof(f2473,plain,
    ( spl0_165
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f2462,f708,f374,f343,f1744]) ).

fof(f2491,plain,
    ( c3_1(a1233)
    | c1_1(a1233)
    | ~ spl0_2
    | ~ spl0_126 ),
    inference(resolution,[],[f347,f934]) ).

fof(f2501,plain,
    ( c3_1(a1204)
    | c2_1(a1204)
    | ~ spl0_13
    | ~ spl0_140 ),
    inference(resolution,[],[f385,f1004]) ).

fof(f2504,plain,
    ( c3_1(a1237)
    | c2_1(a1237)
    | ~ spl0_13
    | ~ spl0_129 ),
    inference(resolution,[],[f385,f949]) ).

fof(f2513,plain,
    ( c2_1(a1237)
    | ~ spl0_13
    | spl0_128
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f2504,f944]) ).

fof(f2514,plain,
    ( c2_1(a1204)
    | ~ spl0_13
    | spl0_138
    | ~ spl0_140 ),
    inference(forward_subsumption_resolution,[],[f2501,f994]) ).

fof(f2515,plain,
    ( spl0_164
    | ~ spl0_13
    | spl0_128
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2513,f947,f942,f384,f1645]) ).

fof(f2516,plain,
    ( $false
    | ~ spl0_13
    | spl0_138
    | spl0_139
    | ~ spl0_140 ),
    inference(forward_subsumption_resolution,[],[f2514,f999]) ).

fof(f2517,plain,
    ( ~ spl0_13
    | spl0_138
    | spl0_139
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f2516]) ).

fof(f2532,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_2
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f395,f347]) ).

fof(f2539,plain,
    ( ~ spl0_155
    | ~ spl0_108
    | ~ spl0_21
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1230,f623,f411,f842,f1367]) ).

fof(f2545,plain,
    ( ~ spl0_76
    | ~ spl0_153
    | ~ spl0_21
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f2199,f673,f411,f1275,f683]) ).

fof(f2577,plain,
    ( c1_1(a1233)
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_126 ),
    inference(resolution,[],[f2532,f934]) ).

fof(f2581,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_16
    | spl0_125
    | ~ spl0_126 ),
    inference(forward_subsumption_resolution,[],[f2577,f929]) ).

fof(f2582,plain,
    ( ~ spl0_2
    | ~ spl0_16
    | spl0_125
    | ~ spl0_126 ),
    inference(avatar_contradiction_clause,[],[f2581]) ).

fof(f2614,plain,
    ( c0_1(a1216)
    | ~ c1_1(a1216)
    | ~ spl0_17
    | ~ spl0_75 ),
    inference(resolution,[],[f399,f680]) ).

fof(f2616,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f412,f2532]) ).

fof(f2618,plain,
    ( ~ c3_1(a1267)
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_21
    | ~ spl0_137 ),
    inference(resolution,[],[f2616,f989]) ).

fof(f2630,plain,
    ( ~ spl0_156
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_21
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2618,f987,f411,f394,f346,f1382]) ).

fof(f2638,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_2
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[],[f468,f347]) ).

fof(f2646,plain,
    ( c3_1(a1224)
    | ~ spl0_2
    | ~ spl0_34
    | spl0_119 ),
    inference(resolution,[],[f2638,f899]) ).

fof(f2660,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_34
    | spl0_118
    | spl0_119 ),
    inference(forward_subsumption_resolution,[],[f2646,f894]) ).

fof(f2661,plain,
    ( ~ spl0_2
    | ~ spl0_34
    | spl0_118
    | spl0_119 ),
    inference(avatar_contradiction_clause,[],[f2660]) ).

fof(f2694,plain,
    ( c1_1(a1247)
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_20
    | ~ spl0_93 ),
    inference(forward_subsumption_resolution,[],[f1343,f2532]) ).

fof(f2706,plain,
    ( spl0_155
    | ~ spl0_7
    | spl0_107
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1108,f842,f837,f363,f1367]) ).

fof(f2721,plain,
    ( spl0_132
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_20
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f2694,f768,f408,f394,f346,f962]) ).

fof(f2729,definition,
    ( spl0_170
  <=> c0_1(a1213) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f2753,plain,
    ( c2_1(a1210)
    | c1_1(a1210)
    | ~ spl0_7
    | ~ spl0_110 ),
    inference(resolution,[],[f854,f364]) ).

fof(f2801,plain,
    ( c0_1(a1213)
    | c2_1(a1213)
    | ~ spl0_35
    | spl0_144 ),
    inference(resolution,[],[f472,f1024]) ).

fof(f2813,plain,
    ( c0_1(a1213)
    | ~ spl0_35
    | spl0_144
    | spl0_145 ),
    inference(forward_subsumption_resolution,[],[f2801,f1029]) ).

fof(f2816,plain,
    ( spl0_170
    | ~ spl0_35
    | spl0_144
    | spl0_145 ),
    inference(avatar_split_clause,[],[f2813,f1027,f1022,f471,f2729]) ).

fof(f2871,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_8
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f545,f368]) ).

fof(f2881,plain,
    ( c0_1(a1223)
    | ~ spl0_8
    | ~ spl0_49
    | ~ spl0_82 ),
    inference(resolution,[],[f2871,f715]) ).

fof(f2884,plain,
    ( c0_1(a1205)
    | ~ spl0_8
    | ~ spl0_49
    | ~ spl0_62 ),
    inference(resolution,[],[f2871,f615]) ).

fof(f2889,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_49
    | ~ spl0_62
    | spl0_63 ),
    inference(forward_subsumption_resolution,[],[f2884,f620]) ).

fof(f2890,plain,
    ( ~ spl0_8
    | ~ spl0_49
    | ~ spl0_62
    | spl0_63 ),
    inference(avatar_contradiction_clause,[],[f2889]) ).

fof(f2893,plain,
    ( spl0_165
    | ~ spl0_8
    | ~ spl0_49
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f2881,f713,f544,f367,f1744]) ).

fof(f2896,plain,
    ( c3_1(a1267)
    | ~ c1_1(a1267)
    | ~ spl0_50
    | ~ spl0_104 ),
    inference(resolution,[],[f548,f824]) ).

fof(f2908,plain,
    ( c3_1(a1267)
    | ~ spl0_50
    | ~ spl0_104
    | ~ spl0_105 ),
    inference(forward_subsumption_resolution,[],[f2896,f829]) ).

fof(f2909,plain,
    ( spl0_156
    | ~ spl0_50
    | ~ spl0_104
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2908,f827,f822,f547,f1382]) ).

fof(f2928,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_7
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f439,f364]) ).

fof(f2933,plain,
    ( ~ c2_1(a1233)
    | c3_1(a1233)
    | ~ spl0_23
    | ~ spl0_126 ),
    inference(resolution,[],[f934,f419]) ).

fof(f2968,plain,
    ( ~ c0_1(a1214)
    | ~ spl0_7
    | ~ spl0_27
    | spl0_148 ),
    inference(resolution,[],[f2928,f1044]) ).

fof(f2969,plain,
    ( ~ c0_1(a1213)
    | ~ spl0_7
    | ~ spl0_27
    | spl0_146 ),
    inference(resolution,[],[f2928,f1034]) ).

fof(f2971,plain,
    ( ~ c0_1(a1233)
    | ~ spl0_7
    | ~ spl0_27
    | spl0_125 ),
    inference(resolution,[],[f2928,f929]) ).

fof(f2976,plain,
    ( ~ c0_1(a1210)
    | ~ spl0_7
    | ~ spl0_27
    | spl0_109 ),
    inference(resolution,[],[f2928,f849]) ).

fof(f2980,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_27
    | spl0_125
    | ~ spl0_126 ),
    inference(forward_subsumption_resolution,[],[f2971,f934]) ).

fof(f2981,plain,
    ( ~ spl0_7
    | ~ spl0_27
    | spl0_125
    | ~ spl0_126 ),
    inference(avatar_contradiction_clause,[],[f2980]) ).

fof(f2982,plain,
    ( ~ spl0_170
    | ~ spl0_7
    | ~ spl0_27
    | spl0_146 ),
    inference(avatar_split_clause,[],[f2969,f1032,f438,f363,f2729]) ).

fof(f2983,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_30
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f452,f548]) ).

fof(f2984,plain,
    ( c3_1(a1204)
    | ~ spl0_7
    | ~ spl0_30
    | ~ spl0_50
    | spl0_139
    | ~ spl0_140 ),
    inference(resolution,[],[f2983,f1481]) ).

fof(f2990,plain,
    ( c3_1(a1237)
    | ~ spl0_30
    | ~ spl0_50
    | ~ spl0_91 ),
    inference(resolution,[],[f2983,f760]) ).

fof(f3001,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_50
    | ~ spl0_91
    | spl0_128 ),
    inference(forward_subsumption_resolution,[],[f2990,f944]) ).

fof(f3002,plain,
    ( ~ spl0_30
    | ~ spl0_50
    | ~ spl0_91
    | spl0_128 ),
    inference(avatar_contradiction_clause,[],[f3001]) ).

fof(f3007,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_30
    | ~ spl0_50
    | spl0_138
    | spl0_139
    | ~ spl0_140 ),
    inference(forward_subsumption_resolution,[],[f2984,f994]) ).

fof(f3008,plain,
    ( ~ spl0_7
    | ~ spl0_30
    | ~ spl0_50
    | spl0_138
    | spl0_139
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f3007]) ).

fof(f3036,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f392,f378]) ).

fof(f3042,plain,
    ( c1_1(a1233)
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_162 ),
    inference(resolution,[],[f3036,f1585]) ).

fof(f3049,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_15
    | spl0_125
    | ~ spl0_162 ),
    inference(forward_subsumption_resolution,[],[f3042,f929]) ).

fof(f3050,plain,
    ( ~ spl0_11
    | ~ spl0_15
    | spl0_125
    | ~ spl0_162 ),
    inference(avatar_contradiction_clause,[],[f3049]) ).

fof(f3061,plain,
    ( ~ spl0_163
    | ~ spl0_12
    | ~ spl0_68
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1598,f852,f643,f381,f1614]) ).

fof(f3131,plain,
    ( spl0_151
    | spl0_113
    | ~ spl0_1
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f2071,f668,f343,f867,f1258]) ).

fof(f3140,plain,
    ( c1_1(a1210)
    | c2_1(a1210)
    | ~ spl0_11
    | ~ spl0_68 ),
    inference(resolution,[],[f645,f378]) ).

fof(f3143,plain,
    ( ~ spl0_159
    | ~ spl0_12
    | ~ spl0_23
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1864,f1047,f418,f381,f1488]) ).

fof(f3147,plain,
    ( ~ spl0_88
    | ~ spl0_12
    | ~ spl0_23
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1872,f932,f418,f381,f743]) ).

fof(f3148,plain,
    ( ~ c2_1(a1214)
    | ~ spl0_23
    | spl0_147
    | ~ spl0_149 ),
    inference(forward_subsumption_resolution,[],[f2205,f1039]) ).

fof(f3155,plain,
    ( spl0_162
    | ~ spl0_88
    | ~ spl0_23
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2933,f932,f418,f743,f1583]) ).

fof(f3159,plain,
    ( spl0_163
    | spl0_109
    | ~ spl0_11
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f3140,f643,f377,f847,f1614]) ).

fof(f3160,plain,
    ( ~ spl0_159
    | ~ spl0_23
    | spl0_147
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f3148,f1047,f1037,f418,f1488]) ).

fof(f3165,plain,
    ( c1_1(a1215)
    | c2_1(a1215)
    | ~ spl0_11
    | ~ spl0_73 ),
    inference(resolution,[],[f670,f378]) ).

fof(f3166,plain,
    ( c2_1(a1215)
    | ~ spl0_11
    | ~ spl0_73
    | spl0_114 ),
    inference(forward_subsumption_resolution,[],[f3165,f874]) ).

fof(f3167,plain,
    ( spl0_113
    | ~ spl0_11
    | ~ spl0_73
    | spl0_114 ),
    inference(avatar_split_clause,[],[f3166,f872,f668,f377,f867]) ).

fof(f3175,plain,
    ( spl0_125
    | spl0_162
    | ~ spl0_2
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2491,f932,f346,f1583,f927]) ).

fof(f3182,plain,
    ( spl0_113
    | ~ spl0_7
    | ~ spl0_18
    | spl0_114 ),
    inference(avatar_split_clause,[],[f1408,f872,f401,f363,f867]) ).

fof(f3191,plain,
    ( c2_1(a1215)
    | ~ spl0_7
    | spl0_114
    | ~ spl0_151 ),
    inference(forward_subsumption_resolution,[],[f1543,f874]) ).

fof(f3200,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_18
    | spl0_145
    | spl0_146 ),
    inference(forward_subsumption_resolution,[],[f2451,f1029]) ).

fof(f3201,plain,
    ( ~ spl0_7
    | ~ spl0_18
    | spl0_145
    | spl0_146 ),
    inference(avatar_contradiction_clause,[],[f3200]) ).

fof(f3204,plain,
    ( spl0_109
    | spl0_163
    | ~ spl0_7
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2753,f852,f363,f1614,f847]) ).

fof(f3207,plain,
    ( ~ spl0_149
    | ~ spl0_7
    | ~ spl0_27
    | spl0_148 ),
    inference(avatar_split_clause,[],[f2968,f1042,f438,f363,f1047]) ).

fof(f3209,plain,
    ( ~ spl0_110
    | ~ spl0_7
    | ~ spl0_27
    | spl0_109 ),
    inference(avatar_split_clause,[],[f2976,f847,f438,f363,f852]) ).

fof(f3236,plain,
    ( c0_1(a1216)
    | ~ spl0_17
    | ~ spl0_75
    | ~ spl0_76 ),
    inference(forward_subsumption_resolution,[],[f2614,f685]) ).

fof(f3239,plain,
    ( spl0_113
    | ~ spl0_7
    | spl0_114
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f3191,f1258,f872,f363,f867]) ).

fof(f3243,plain,
    ( spl0_153
    | ~ spl0_17
    | ~ spl0_75
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f3236,f683,f678,f398,f1275]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f355]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f365]) ).

cnf(s3,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f372]) ).

cnf(s4,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f379]) ).

cnf(s5,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f386]) ).

cnf(s6,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f396]) ).

cnf(s8,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f413]) ).

cnf(s9,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f420]) ).

cnf(s10,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_13
    | spl0_24 ),
    inference(sat_conversion,[],[f425]) ).

cnf(s11,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_14
    | spl0_17 ),
    inference(sat_conversion,[],[f426]) ).

cnf(s13,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_23
    | spl0_25 ),
    inference(sat_conversion,[],[f432]) ).

cnf(s14,plain,
    ( ~ spl0_3
    | spl0_13
    | ~ spl0_26
    | spl0_27 ),
    inference(sat_conversion,[],[f440]) ).

cnf(s16,plain,
    ( ~ spl0_3
    | spl0_27
    | ~ spl0_29
    | spl0_30 ),
    inference(sat_conversion,[],[f453]) ).

cnf(s17,plain,
    ( ~ spl0_3
    | spl0_23
    | ~ spl0_31
    | spl0_32 ),
    inference(sat_conversion,[],[f461]) ).

cnf(s19,plain,
    ( ~ spl0_3
    | spl0_25
    | spl0_34
    | spl0_35 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s20,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_24
    | spl0_27 ),
    inference(sat_conversion,[],[f474]) ).

cnf(s22,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_8
    | spl0_37 ),
    inference(sat_conversion,[],[f484]) ).

cnf(s24,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_12 ),
    inference(sat_conversion,[],[f490]) ).

cnf(s26,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_40
    | spl0_41 ),
    inference(sat_conversion,[],[f503]) ).

cnf(s28,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_14
    | spl0_40 ),
    inference(sat_conversion,[],[f505]) ).

cnf(s32,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_14
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f509]) ).

cnf(s34,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_21
    | spl0_38 ),
    inference(sat_conversion,[],[f518]) ).

cnf(s35,plain,
    ( ~ spl0_3
    | spl0_21
    | ~ spl0_44
    | spl0_45 ),
    inference(sat_conversion,[],[f526]) ).

cnf(s37,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_27
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f532]) ).

cnf(s40,plain,
    ( ~ spl0_3
    | spl0_48
    | spl0_49
    | spl0_50 ),
    inference(sat_conversion,[],[f549]) ).

cnf(s41,plain,
    ( spl0_2
    | ~ spl0_3
    | ~ spl0_51
    | spl0_52 ),
    inference(sat_conversion,[],[f558]) ).

cnf(s43,plain,
    ( ~ spl0_3
    | spl0_7
    | ~ spl0_54
    | spl0_55 ),
    inference(sat_conversion,[],[f572]) ).

cnf(s44,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_38
    | ~ spl0_56 ),
    inference(sat_conversion,[],[f577]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_37
    | spl0_58 ),
    inference(sat_conversion,[],[f590]) ).

cnf(s51,plain,
    ( ~ spl0_3
    | spl0_47
    | spl0_50
    | spl0_60 ),
    inference(sat_conversion,[],[f600]) ).

cnf(s52,plain,
    ( ~ spl0_3
    | spl0_20
    | spl0_38
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f601]) ).

cnf(s54,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_33 ),
    inference(sat_conversion,[],[f603]) ).

cnf(s58,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_61 ),
    inference(sat_conversion,[],[f611]) ).

cnf(s59,plain,
    ( ~ spl0_38
    | spl0_62 ),
    inference(sat_conversion,[],[f616]) ).

cnf(s60,plain,
    ( ~ spl0_38
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f621]) ).

cnf(s61,plain,
    ( ~ spl0_24
    | spl0_64 ),
    inference(sat_conversion,[],[f626]) ).

cnf(s62,plain,
    ( ~ spl0_52
    | spl0_65 ),
    inference(sat_conversion,[],[f631]) ).

cnf(s63,plain,
    ( ~ spl0_52
    | spl0_66 ),
    inference(sat_conversion,[],[f636]) ).

cnf(s64,plain,
    ( ~ spl0_52
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f641]) ).

cnf(s65,plain,
    ( ~ spl0_25
    | spl0_68 ),
    inference(sat_conversion,[],[f646]) ).

cnf(s66,plain,
    ( ~ spl0_47
    | spl0_69 ),
    inference(sat_conversion,[],[f651]) ).

cnf(s68,plain,
    ( ~ spl0_37
    | spl0_71 ),
    inference(sat_conversion,[],[f661]) ).

cnf(s69,plain,
    ( ~ spl0_37
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f666]) ).

cnf(s70,plain,
    ( spl0_31
    | spl0_73 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s71,plain,
    ( spl0_51
    | spl0_74 ),
    inference(sat_conversion,[],[f676]) ).

cnf(s72,plain,
    ( spl0_51
    | spl0_75 ),
    inference(sat_conversion,[],[f681]) ).

cnf(s73,plain,
    ( spl0_51
    | spl0_76 ),
    inference(sat_conversion,[],[f686]) ).

cnf(s74,plain,
    ( spl0_28
    | spl0_77 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s76,plain,
    ( spl0_28
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f701]) ).

cnf(s78,plain,
    ( spl0_26
    | spl0_81 ),
    inference(sat_conversion,[],[f711]) ).

cnf(s79,plain,
    ( spl0_26
    | spl0_82 ),
    inference(sat_conversion,[],[f716]) ).

cnf(s80,plain,
    ( ~ spl0_33
    | spl0_83 ),
    inference(sat_conversion,[],[f721]) ).

cnf(s83,plain,
    ( ~ spl0_40
    | spl0_86 ),
    inference(sat_conversion,[],[f736]) ).

cnf(s84,plain,
    ( ~ spl0_40
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f741]) ).

cnf(s85,plain,
    ( ~ spl0_60
    | spl0_88 ),
    inference(sat_conversion,[],[f746]) ).

cnf(s88,plain,
    ( ~ spl0_58
    | spl0_91 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s90,plain,
    ( spl0_29
    | spl0_93 ),
    inference(sat_conversion,[],[f771]) ).

cnf(s91,plain,
    ( spl0_29
    | spl0_94 ),
    inference(sat_conversion,[],[f776]) ).

cnf(s93,plain,
    ( spl0_56
    | spl0_96 ),
    inference(sat_conversion,[],[f786]) ).

cnf(s94,plain,
    ( spl0_56
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f791]) ).

cnf(s95,plain,
    ( spl0_54
    | spl0_98 ),
    inference(sat_conversion,[],[f796]) ).

cnf(s96,plain,
    ( spl0_54
    | spl0_99 ),
    inference(sat_conversion,[],[f801]) ).

cnf(s100,plain,
    ( ~ spl0_103
    | spl0_104 ),
    inference(sat_conversion,[],[f825]) ).

cnf(s101,plain,
    ( ~ spl0_103
    | spl0_105 ),
    inference(sat_conversion,[],[f830]) ).

cnf(s102,plain,
    ( ~ spl0_38
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f835]) ).

cnf(s103,plain,
    ( ~ spl0_24
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f840]) ).

cnf(s104,plain,
    ( ~ spl0_24
    | spl0_108 ),
    inference(sat_conversion,[],[f845]) ).

cnf(s105,plain,
    ( ~ spl0_25
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f850]) ).

cnf(s106,plain,
    ( ~ spl0_25
    | spl0_110 ),
    inference(sat_conversion,[],[f855]) ).

cnf(s107,plain,
    ( ~ spl0_47
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f860]) ).

cnf(s108,plain,
    ( ~ spl0_37
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f865]) ).

cnf(s109,plain,
    ( spl0_31
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f870]) ).

cnf(s110,plain,
    ( spl0_31
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f875]) ).

cnf(s113,plain,
    ( spl0_26
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f890]) ).

cnf(s114,plain,
    ( ~ spl0_33
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f895]) ).

cnf(s115,plain,
    ( ~ spl0_33
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f900]) ).

cnf(s118,plain,
    ( ~ spl0_55
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f915]) ).

cnf(s119,plain,
    ( ~ spl0_55
    | spl0_123 ),
    inference(sat_conversion,[],[f920]) ).

cnf(s120,plain,
    ( ~ spl0_40
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f925]) ).

cnf(s121,plain,
    ( ~ spl0_60
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f930]) ).

cnf(s122,plain,
    ( ~ spl0_60
    | spl0_126 ),
    inference(sat_conversion,[],[f935]) ).

cnf(s124,plain,
    ( ~ spl0_58
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f945]) ).

cnf(s125,plain,
    ( ~ spl0_58
    | spl0_129 ),
    inference(sat_conversion,[],[f950]) ).

cnf(s128,plain,
    ( spl0_29
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f965]) ).

cnf(s131,plain,
    ( spl0_56
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f980]) ).

cnf(s133,plain,
    ( ~ spl0_103
    | spl0_137 ),
    inference(sat_conversion,[],[f990]) ).

cnf(s134,plain,
    ( spl0_44
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f995]) ).

cnf(s135,plain,
    ( spl0_44
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1000]) ).

cnf(s136,plain,
    ( spl0_44
    | spl0_140 ),
    inference(sat_conversion,[],[f1005]) ).

cnf(s137,plain,
    ( ~ spl0_48
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f1010]) ).

cnf(s138,plain,
    ( ~ spl0_48
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f1015]) ).

cnf(s139,plain,
    ( ~ spl0_48
    | spl0_143 ),
    inference(sat_conversion,[],[f1020]) ).

cnf(s140,plain,
    ( spl0_46
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1025]) ).

cnf(s141,plain,
    ( spl0_46
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1030]) ).

cnf(s142,plain,
    ( spl0_46
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1035]) ).

cnf(s143,plain,
    ( ~ spl0_61
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1040]) ).

cnf(s144,plain,
    ( ~ spl0_61
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1045]) ).

cnf(s145,plain,
    ( ~ spl0_61
    | spl0_149 ),
    inference(sat_conversion,[],[f1050]) ).

cnf(s149,plain,
    ( ~ spl0_29
    | ~ spl0_46
    | spl0_52 ),
    inference(sat_conversion,[],[f1054]) ).

cnf(s151,plain,
    ( ~ spl0_28
    | ~ spl0_31
    | ~ spl0_54 ),
    inference(sat_conversion,[],[f1056]) ).

cnf(s153,plain,
    ( ~ spl0_29
    | spl0_40
    | spl0_103 ),
    inference(sat_conversion,[],[f1058]) ).

cnf(s156,plain,
    ( ~ spl0_31
    | spl0_37
    | spl0_60 ),
    inference(sat_conversion,[],[f1061]) ).

cnf(s157,plain,
    ( spl0_24
    | ~ spl0_44
    | spl0_48 ),
    inference(sat_conversion,[],[f1062]) ).

cnf(s158,plain,
    ( spl0_48
    | spl0_61
    | spl0_103 ),
    inference(sat_conversion,[],[f1063]) ).

cnf(s183,plain,
    ( spl0_3
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f1088]) ).

cnf(s185,plain,
    ( spl0_3
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f1090]) ).

cnf(s187,plain,
    ( spl0_3
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f1092]) ).

cnf(s188,plain,
    ( ~ spl0_44
    | ~ spl0_56 ),
    inference(sat_conversion,[],[f1093]) ).

cnf(s197,plain,
    ( ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_69
    | spl0_111 ),
    inference(sat_conversion,[],[f1188]) ).

cnf(s200,plain,
    ( ~ spl0_2
    | spl0_147
    | spl0_148
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1199]) ).

cnf(s201,plain,
    ( ~ spl0_17
    | ~ spl0_65
    | ~ spl0_66
    | spl0_67 ),
    inference(sat_conversion,[],[f1200]) ).

cnf(s203,plain,
    ( ~ spl0_7
    | ~ spl0_21
    | ~ spl0_64
    | spl0_107
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f1234]) ).

cnf(s207,plain,
    ( ~ spl0_17
    | ~ spl0_45
    | ~ spl0_86
    | spl0_87 ),
    inference(sat_conversion,[],[f1252]) ).

cnf(s208,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_73
    | spl0_113
    | spl0_114 ),
    inference(sat_conversion,[],[f1255]) ).

cnf(s211,plain,
    ( ~ spl0_10
    | ~ spl0_12
    | ~ spl0_98
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f1265]) ).

cnf(s220,plain,
    ( ~ spl0_6
    | ~ spl0_83
    | spl0_118
    | spl0_119 ),
    inference(sat_conversion,[],[f1293]) ).

cnf(s230,plain,
    ( ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_50
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f1323]) ).

cnf(s235,plain,
    ( ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_88
    | spl0_125 ),
    inference(sat_conversion,[],[f1334]) ).

cnf(s239,plain,
    ( ~ spl0_10
    | ~ spl0_12
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f1345]) ).

cnf(s243,plain,
    ( ~ spl0_9
    | ~ spl0_64
    | spl0_107
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f1360]) ).

cnf(s256,plain,
    ( ~ spl0_14
    | ~ spl0_104
    | ~ spl0_105
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1376]) ).

cnf(s259,plain,
    ( ~ spl0_4
    | spl0_144
    | spl0_145
    | spl0_146 ),
    inference(sat_conversion,[],[f1380]) ).

cnf(s265,plain,
    ( ~ spl0_8
    | ~ spl0_96
    | spl0_97
    | spl0_135 ),
    inference(sat_conversion,[],[f1396]) ).

cnf(s283,plain,
    ( ~ spl0_7
    | spl0_148
    | ~ spl0_149
    | spl0_159 ),
    inference(sat_conversion,[],[f1492]) ).

cnf(s285,plain,
    ( ~ spl0_7
    | spl0_141
    | spl0_142
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1499]) ).

cnf(s308,plain,
    ( ~ spl0_12
    | ~ spl0_74
    | ~ spl0_75
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1600]) ).

cnf(s327,plain,
    ( ~ spl0_4
    | ~ spl0_30
    | spl0_138
    | spl0_139 ),
    inference(sat_conversion,[],[f1697]) ).

cnf(s337,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_41
    | ~ spl0_71
    | spl0_112 ),
    inference(sat_conversion,[],[f1740]) ).

cnf(s339,plain,
    ( ~ spl0_4
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_41
    | ~ spl0_62
    | spl0_63
    | spl0_106 ),
    inference(sat_conversion,[],[f1742]) ).

cnf(s370,plain,
    ( ~ spl0_12
    | ~ spl0_23
    | ~ spl0_104
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1882]) ).

cnf(s382,plain,
    ( ~ spl0_20
    | ~ spl0_93
    | spl0_132
    | spl0_154 ),
    inference(sat_conversion,[],[f1897]) ).

cnf(s386,plain,
    ( ~ spl0_12
    | ~ spl0_93
    | ~ spl0_94
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1908]) ).

cnf(s389,plain,
    ( ~ spl0_5
    | ~ spl0_86
    | spl0_87
    | spl0_124 ),
    inference(sat_conversion,[],[f1916]) ).

cnf(s405,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_22
    | ~ spl0_32
    | spl0_139 ),
    inference(sat_conversion,[],[f1950]) ).

cnf(s441,plain,
    ( ~ spl0_9
    | ~ spl0_73
    | spl0_113
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1980]) ).

cnf(s443,plain,
    ( ~ spl0_20
    | ~ spl0_73
    | spl0_114
    | spl0_151 ),
    inference(sat_conversion,[],[f1984]) ).

cnf(s473,plain,
    ( ~ spl0_16
    | ~ spl0_20
    | spl0_125
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2064]) ).

cnf(s492,plain,
    ( ~ spl0_9
    | ~ spl0_13
    | spl0_122
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f2126]) ).

cnf(s504,plain,
    ( ~ spl0_21
    | ~ spl0_81
    | ~ spl0_82
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2139]) ).

cnf(s521,plain,
    ( ~ spl0_23
    | spl0_128
    | ~ spl0_129
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2227]) ).

cnf(s526,plain,
    ( ~ spl0_1
    | ~ spl0_81
    | spl0_117
    | spl0_165 ),
    inference(sat_conversion,[],[f2236]) ).

cnf(s582,plain,
    ( ~ spl0_10
    | ~ spl0_93
    | ~ spl0_94
    | spl0_154 ),
    inference(sat_conversion,[],[f2356]) ).

cnf(s596,plain,
    ( ~ spl0_7
    | ~ spl0_32
    | spl0_117
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2380]) ).

cnf(s598,plain,
    ( ~ spl0_7
    | ~ spl0_32
    | spl0_139
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f2384]) ).

cnf(s623,plain,
    ( ~ spl0_16
    | ~ spl0_20
    | ~ spl0_93
    | spl0_132 ),
    inference(sat_conversion,[],[f2431]) ).

cnf(s629,plain,
    ( ~ spl0_1
    | ~ spl0_71
    | spl0_72
    | spl0_112 ),
    inference(sat_conversion,[],[f2439]) ).

cnf(s641,plain,
    ( ~ spl0_15
    | ~ spl0_93
    | ~ spl0_94
    | spl0_132 ),
    inference(sat_conversion,[],[f2447]) ).

cnf(s647,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_77
    | spl0_79 ),
    inference(sat_conversion,[],[f2471]) ).

cnf(s649,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_81
    | spl0_165 ),
    inference(sat_conversion,[],[f2473]) ).

cnf(s658,plain,
    ( ~ spl0_13
    | spl0_128
    | ~ spl0_129
    | spl0_164 ),
    inference(sat_conversion,[],[f2515]) ).

cnf(s659,plain,
    ( ~ spl0_13
    | spl0_138
    | spl0_139
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f2517]) ).

cnf(s682,plain,
    ( ~ spl0_21
    | ~ spl0_64
    | ~ spl0_108
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2539]) ).

cnf(s686,plain,
    ( ~ spl0_21
    | ~ spl0_74
    | ~ spl0_76
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f2545]) ).

cnf(s717,plain,
    ( ~ spl0_2
    | ~ spl0_16
    | spl0_125
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f2582]) ).

cnf(s726,plain,
    ( ~ spl0_2
    | ~ spl0_16
    | ~ spl0_21
    | ~ spl0_137
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f2630]) ).

cnf(s735,plain,
    ( ~ spl0_2
    | ~ spl0_34
    | spl0_118
    | spl0_119 ),
    inference(sat_conversion,[],[f2661]) ).

cnf(s761,plain,
    ( ~ spl0_7
    | spl0_107
    | ~ spl0_108
    | spl0_155 ),
    inference(sat_conversion,[],[f2706]) ).

cnf(s773,plain,
    ( ~ spl0_2
    | ~ spl0_16
    | ~ spl0_20
    | ~ spl0_93
    | spl0_132 ),
    inference(sat_conversion,[],[f2721]) ).

cnf(s814,plain,
    ( ~ spl0_35
    | spl0_144
    | spl0_145
    | spl0_170 ),
    inference(sat_conversion,[],[f2816]) ).

cnf(s827,plain,
    ( ~ spl0_8
    | ~ spl0_49
    | ~ spl0_62
    | spl0_63 ),
    inference(sat_conversion,[],[f2890]) ).

cnf(s829,plain,
    ( ~ spl0_8
    | ~ spl0_49
    | ~ spl0_82
    | spl0_165 ),
    inference(sat_conversion,[],[f2893]) ).

cnf(s830,plain,
    ( ~ spl0_50
    | ~ spl0_104
    | ~ spl0_105
    | spl0_156 ),
    inference(sat_conversion,[],[f2909]) ).

cnf(s851,plain,
    ( ~ spl0_7
    | ~ spl0_27
    | spl0_125
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f2981]) ).

cnf(s852,plain,
    ( ~ spl0_7
    | ~ spl0_27
    | spl0_146
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f2982]) ).

cnf(s855,plain,
    ( ~ spl0_30
    | ~ spl0_50
    | ~ spl0_91
    | spl0_128 ),
    inference(sat_conversion,[],[f3002]) ).

cnf(s858,plain,
    ( ~ spl0_7
    | ~ spl0_30
    | ~ spl0_50
    | spl0_138
    | spl0_139
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f3008]) ).

cnf(s862,plain,
    ( ~ spl0_11
    | ~ spl0_15
    | spl0_125
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f3050]) ).

cnf(s869,plain,
    ( ~ spl0_12
    | ~ spl0_68
    | ~ spl0_110
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f3061]) ).

cnf(s952,plain,
    ( ~ spl0_1
    | ~ spl0_73
    | spl0_113
    | spl0_151 ),
    inference(sat_conversion,[],[f3131]) ).

cnf(s970,plain,
    ( ~ spl0_12
    | ~ spl0_23
    | ~ spl0_149
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f3143]) ).

cnf(s973,plain,
    ( ~ spl0_12
    | ~ spl0_23
    | ~ spl0_88
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f3147]) ).

cnf(s981,plain,
    ( ~ spl0_23
    | ~ spl0_88
    | ~ spl0_126
    | spl0_162 ),
    inference(sat_conversion,[],[f3155]) ).

cnf(s984,plain,
    ( ~ spl0_11
    | ~ spl0_68
    | spl0_109
    | spl0_163 ),
    inference(sat_conversion,[],[f3159]) ).

cnf(s985,plain,
    ( ~ spl0_23
    | spl0_147
    | ~ spl0_149
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f3160]) ).

cnf(s991,plain,
    ( ~ spl0_11
    | ~ spl0_73
    | spl0_113
    | spl0_114 ),
    inference(sat_conversion,[],[f3167]) ).

cnf(s994,plain,
    ( ~ spl0_2
    | spl0_125
    | ~ spl0_126
    | spl0_162 ),
    inference(sat_conversion,[],[f3175]) ).

cnf(s998,plain,
    ( ~ spl0_7
    | ~ spl0_18
    | spl0_113
    | spl0_114 ),
    inference(sat_conversion,[],[f3182]) ).

cnf(s1011,plain,
    ( ~ spl0_7
    | ~ spl0_18
    | spl0_145
    | spl0_146 ),
    inference(sat_conversion,[],[f3201]) ).

cnf(s1015,plain,
    ( ~ spl0_7
    | spl0_109
    | ~ spl0_110
    | spl0_163 ),
    inference(sat_conversion,[],[f3204]) ).

cnf(s1018,plain,
    ( ~ spl0_7
    | ~ spl0_27
    | spl0_148
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f3207]) ).

cnf(s1022,plain,
    ( ~ spl0_7
    | ~ spl0_27
    | spl0_109
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f3209]) ).

cnf(s1057,plain,
    ( ~ spl0_7
    | spl0_113
    | spl0_114
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f3239]) ).

cnf(s1072,plain,
    ( ~ spl0_17
    | ~ spl0_75
    | ~ spl0_76
    | spl0_153 ),
    inference(sat_conversion,[],[f3243]) ).

cnf(s1074,plain,
    spl0_3,
    inference(rat,[],[s158,s183,s185,s187]) ).

cnf(s1075,plain,
    ( spl0_46
    | ~ spl0_4 ),
    inference(rat,[],[s259,s140,s141,s142]) ).

cnf(s1076,plain,
    ( spl0_10
    | ~ spl0_7
    | ~ spl0_46 ),
    inference(rat,[],[s1018,s144,s145,s37,s58,s1074]) ).

cnf(s1077,plain,
    ( ~ spl0_24
    | ~ spl0_9 ),
    inference(rat,[],[s243,s61,s103,s104]) ).

cnf(s1079,plain,
    ( ~ spl0_52
    | ~ spl0_17 ),
    inference(rat,[],[s201,s62,s63,s64]) ).

cnf(s1080,plain,
    ( spl0_14
    | spl0_12
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s6,s623,s641,s8,s686,s1072,s71,s72,s73,s90,s91,s128,s41,s149,s1079,s11,s1075,s1,s1074]) ).

cnf(s1082,plain,
    ( ~ spl0_48
    | ~ spl0_7 ),
    inference(rat,[],[s285,s137,s138,s139]) ).

cnf(s1083,plain,
    ( spl0_24
    | spl0_23
    | spl0_27
    | ~ spl0_7 ),
    inference(rat,[],[s998,s109,s110,s17,s598,s135,s136,s157,s20,s1082,s1074]) ).

cnf(s1084,plain,
    ( spl0_56
    | ~ spl0_8 ),
    inference(rat,[],[s265,s93,s94,s131]) ).

cnf(s1085,plain,
    ( spl0_23
    | spl0_27
    | ~ spl0_7
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s8,s386,s582,s443,s1057,s90,s91,s70,s109,s110,s16,s17,s327,s598,s134,s135,s136,s188,s1084,s3,s203,s1077,s61,s103,s104,s1083,s1076,s1075,s1074]) ).

cnf(s1086,plain,
    ( ~ spl0_149
    | spl0_148
    | ~ spl0_23
    | ~ spl0_7
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s256,s100,s101,s133,s158,s143,s1080,s985,s970,s283,s1082]) ).

cnf(s1087,plain,
    ( ~ spl0_103
    | ~ spl0_23
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s1080,s370,s256,s100,s101,s133]) ).

cnf(s1088,plain,
    ( ~ spl0_23
    | ~ spl0_7
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s1086,s144,s145,s158,s1087,s1082]) ).

cnf(s1089,plain,
    ( spl0_14
    | ~ spl0_10
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s239,s90,s91,s149,s1079,s1080,s11,s1075,s1,s1074]) ).

cnf(s1090,plain,
    ( ~ spl0_103
    | ~ spl0_14 ),
    inference(rat,[],[s256,s100,s101,s133]) ).

cnf(s1091,plain,
    ( ~ spl0_7
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s1018,s144,s145,s158,s1090,s1089,s1085,s1088,s1082,s1076,s1075,s1,s1074]) ).

cnf(s1092,plain,
    ( ~ spl0_40
    | ~ spl0_5 ),
    inference(rat,[],[s389,s83,s84,s120]) ).

cnf(s1094,plain,
    ( ~ spl0_10
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s239,s90,s91,s153,s1090,s1089,s24,s1092,s2,s1091,s220,s114,s80,s115,s54,s1074]) ).

cnf(s1095,plain,
    ( ~ spl0_17
    | ~ spl0_12
    | spl0_2 ),
    inference(rat,[],[s308,s1072,s71,s72,s73,s41,s1079,s1074]) ).

cnf(s1096,plain,
    ( spl0_31
    | ~ spl0_11 ),
    inference(rat,[],[s991,s70,s109,s110]) ).

cnf(s1097,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s337,s68,s108,s22,s339,s59,s60,s102,s52,s382,s386,s90,s91,s128,s153,s1090,s11,s1095,s4,s1094,s26,s1092,s2,s24,s1091,s1075,s1,s220,s114,s80,s115,s54,s1074]) ).

cnf(s1098,plain,
    ( ~ spl0_61
    | ~ spl0_2 ),
    inference(rat,[],[s200,s143,s144,s145]) ).

cnf(s1099,plain,
    ( ~ spl0_24
    | ~ spl0_21
    | ~ spl0_7 ),
    inference(rat,[],[s682,s761,s61,s103,s104]) ).

cnf(s1100,plain,
    ( spl0_29
    | spl0_12
    | ~ spl0_7
    | ~ spl0_2 ),
    inference(rat,[],[s659,s134,s135,s136,s157,s1099,s5,s829,s40,s830,s726,s504,s8,s773,s6,s641,s90,s91,s128,s133,s101,s100,s79,s78,s32,s1090,s158,s1098,s1082,s1074]) ).

cnf(s1101,plain,
    ( spl0_27
    | spl0_12
    | ~ spl0_7
    | spl0_1 ),
    inference(rat,[],[s827,s40,s5,s858,s659,s134,s135,s136,s35,s207,s59,s60,s83,s84,s34,s28,s1099,s1077,s16,s20,s1011,s141,s142,s149,s1100,s1079,s11,s1090,s158,s1098,s1097,s1082,s1074]) ).

cnf(s1102,plain,
    ( spl0_12
    | ~ spl0_7
    | spl0_1 ),
    inference(rat,[],[s1022,s105,s106,s19,s814,s852,s1101,s140,s141,s142,s149,s1100,s735,s114,s115,s54,s1079,s11,s1090,s158,s1098,s1097,s1082,s1074]) ).

cnf(s1103,plain,
    ( spl0_29
    | ~ spl0_12
    | ~ spl0_10 ),
    inference(rat,[],[s239,s90,s91]) ).

cnf(s1104,plain,
    ( ~ spl0_7
    | spl0_1 ),
    inference(rat,[],[s869,s1015,s65,s105,s106,s13,s1075,s149,s1103,s370,s1102,s1079,s11,s1090,s100,s133,s158,s1082,s58,s1098,s1097,s1074]) ).

cnf(s1107,plain,
    ( spl0_54
    | spl0_1 ),
    inference(rat,[],[s211,s95,s96,s58,s1098,s1097,s24,s1104,s1074]) ).

cnf(s1108,plain,
    spl0_1,
    inference(rat,[],[s492,s118,s119,s43,s1107,s10,s1075,s149,s1077,s1079,s28,s11,s1090,s153,s1092,s1103,s2,s24,s1104,s58,s1098,s1097,s220,s80,s114,s115,s54,s1074]) ).

cnf(s1109,plain,
    ( spl0_54
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(rat,[],[s211,s95,s96]) ).

cnf(s1112,plain,
    ( spl0_28
    | ~ spl0_10 ),
    inference(rat,[],[s647,s74,s76,s1108]) ).

cnf(s1115,plain,
    ( ~ spl0_47
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(rat,[],[s197,s66,s107]) ).

cnf(s1116,plain,
    ( ~ spl0_6
    | ~ spl0_86
    | ~ spl0_12
    | ~ spl0_10 ),
    inference(rat,[],[s235,s85,s121,s51,s1115,s230,s1074]) ).

cnf(s1117,plain,
    ( ~ spl0_40
    | ~ spl0_10
    | spl0_7
    | ~ spl0_12 ),
    inference(rat,[],[s1116,s2,s1092,s83,s1074]) ).

cnf(s1118,plain,
    ( ~ spl0_10
    | spl0_7
    | ~ spl0_12 ),
    inference(rat,[],[s28,s441,s1090,s153,s1117,s952,s70,s109,s151,s1112,s1109,s1103,s1074,s1108]) ).

cnf(s1119,plain,
    ( ~ spl0_25
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(rat,[],[s984,s869,s65,s105,s106]) ).

cnf(s1124,plain,
    ( ~ spl0_60
    | ~ spl0_23
    | ~ spl0_12 ),
    inference(rat,[],[s973,s85,s122]) ).

cnf(s1125,plain,
    ~ spl0_37,
    inference(rat,[],[s629,s68,s69,s108,s1108]) ).

cnf(s1126,plain,
    ( ~ spl0_10
    | ~ spl0_12 ),
    inference(rat,[],[s208,s70,s109,s110,s151,s1118,s1112,s1109,s1108]) ).

cnf(s1127,plain,
    ~ spl0_12,
    inference(rat,[],[s405,s17,s13,s9,s135,s1124,s188,s156,s1084,s1119,s1096,s22,s4,s1098,s58,s1126,s1074,s1125]) ).

cnf(s1128,plain,
    spl0_7,
    inference(rat,[],[s24,s1074,s1127]) ).

cnf(s1129,plain,
    ~ spl0_48,
    inference(rat,[],[s1082,s1128]) ).

cnf(s1133,plain,
    spl0_31,
    inference(rat,[],[s208,s70,s109,s110,s1108,s1128]) ).

cnf(s1134,plain,
    spl0_60,
    inference(rat,[],[s156,s1125,s1133]) ).

cnf(s1135,plain,
    spl0_126,
    inference(rat,[],[s122,s1134]) ).

cnf(s1136,plain,
    ~ spl0_125,
    inference(rat,[],[s121,s1134]) ).

cnf(s1137,plain,
    spl0_88,
    inference(rat,[],[s85,s1134]) ).

cnf(s1138,plain,
    ~ spl0_27,
    inference(rat,[],[s851,s1128,s1135,s1136]) ).

cnf(s1139,plain,
    ~ spl0_2,
    inference(rat,[],[s827,s59,s60,s44,s40,s1084,s855,s862,s5,s16,s6,s658,s717,s994,s521,s17,s88,s124,s125,s49,s596,s504,s649,s78,s79,s113,s32,s1090,s158,s58,s1100,s1098,s1074,s1129,s1136,s1127,s1138,s1135,s1133,s1125,s1128,s1108]) ).

cnf(s1140,plain,
    spl0_8,
    inference(rat,[],[s22,s1125,s1074,s1139]) ).

cnf(s1141,plain,
    spl0_56,
    inference(rat,[],[s1084,s1140]) ).

cnf(s1142,plain,
    ~ spl0_44,
    inference(rat,[],[s188,s1141]) ).

cnf(s1143,plain,
    spl0_140,
    inference(rat,[],[s136,s1142]) ).

cnf(s1144,plain,
    ~ spl0_139,
    inference(rat,[],[s135,s1142]) ).

cnf(s1145,plain,
    ~ spl0_138,
    inference(rat,[],[s134,s1142]) ).

cnf(s1146,plain,
    ~ spl0_32,
    inference(rat,[],[s598,s1143,s1128,s1144]) ).

cnf(s1147,plain,
    ~ spl0_13,
    inference(rat,[],[s659,s1144,s1143,s1145]) ).

cnf(s1149,plain,
    spl0_23,
    inference(rat,[],[s17,s1133,s1074,s1146]) ).

cnf(s1150,plain,
    ~ spl0_26,
    inference(rat,[],[s14,s1138,s1074,s1147]) ).

cnf(s1151,plain,
    spl0_162,
    inference(rat,[],[s981,s1135,s1137,s1149]) ).

cnf(s1152,plain,
    ~ spl0_117,
    inference(rat,[],[s113,s1150]) ).

cnf(s1153,plain,
    spl0_82,
    inference(rat,[],[s79,s1150]) ).

cnf(s1154,plain,
    spl0_81,
    inference(rat,[],[s78,s1150]) ).

cnf(s1155,plain,
    spl0_165,
    inference(rat,[],[s526,s1108,s1152,s1154]) ).

cnf(s1157,plain,
    ~ spl0_21,
    inference(rat,[],[s504,s1153,s1154,s1155]) ).

cnf(s1158,plain,
    spl0_20,
    inference(rat,[],[s8,s1127,s1074,s1157]) ).

cnf(s1160,plain,
    ~ spl0_16,
    inference(rat,[],[s473,s1151,s1136,s1158]) ).

cnf(s1165,plain,
    ~ spl0_15,
    inference(rat,[],[s641,s90,s91,s128,s16,s858,s40,s827,s59,s60,s44,s862,s1074,s1138,s1128,s1145,s1144,s1143,s1129,s1140,s1141,s1151,s1136]) ).

cnf(s1166,plain,
    spl0_14,
    inference(rat,[],[s6,s1160,s1074,s1165]) ).

cnf(s1167,plain,
    ~ spl0_103,
    inference(rat,[],[s1090,s1166]) ).

cnf(s1168,plain,
    spl0_61,
    inference(rat,[],[s158,s1129,s1167]) ).

cnf(s1169,plain,
    spl0_149,
    inference(rat,[],[s145,s1168]) ).

cnf(s1170,plain,
    ~ spl0_148,
    inference(rat,[],[s144,s1168]) ).

cnf(s1171,plain,
    ~ spl0_147,
    inference(rat,[],[s143,s1168]) ).

cnf(s1172,plain,
    spl0_159,
    inference(rat,[],[s283,s1170,s1128,s1169]) ).

cnf(s1173,plain,
    $false,
    inference(rat,[],[s985,s1149,s1169,s1171,s1172]) ).

fof(f3244,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1173]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN477-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20  % Computer : n014.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 16:14:33 UTC 2026
% 0.09/0.21  % CPUTime  : 
% 0.09/0.21  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23  Running first-order model finding
% 0.09/0.23  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.30  % (1902602)Will run a generic schedule for satisfiability detection.
% 0.19/0.30  % (1902608)% WARNING: option uhcvi not known.
% 0.19/0.30  % (1902608)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3819878437:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.30  % (1902607)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4278444914_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.30  % (1902612)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1093015783:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.30  % (1902609)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1119811943:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.30  % (1902610)dis+10_1_sil=32000:sp=arity:random_seed=2984009123:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.30  % (1902611)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=240361:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.30  % (1902613)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3849849129:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.30  % Detected minimum model sizes of [1]
% 0.19/0.30  % Detected maximum model sizes of [29]
% 0.19/0.30  % TRYING [1]
% 0.19/0.30  % TRYING [2]
% 0.19/0.30  % TRYING [3]
% 0.19/0.30  % TRYING [4]
% 0.19/0.30  % (1902608) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1902602-1902608"...
% 0.19/0.30  % (1902608)...printing done.
% 0.19/0.30  % (1902608)Refutation found. Thanks to Tanya!
% 0.19/0.30  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.30  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.31  % (1902608)------------------------------
% 0.19/0.31  % (1902608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.31  % (1902608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.31  % (1902608)CaDiCaL version: 2.1.3
% 0.19/0.31  % (1902608)Termination reason: Refutation
% 0.19/0.31  % (1902608)Time elapsed: 0.026 s
% 0.19/0.31  % (1902608)Peak memory usage: 13 MB
% 0.19/0.31  % (1902608)Instructions burned: 72 (million)
% 0.19/0.31  % (1902602)Success in time 0.062 s
% 0.19/0.31  % Vampire exiting
%------------------------------------------------------------------------------