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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN458-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n012.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 02:09:04 PM UTC 2026

% Result   : Unsatisfiable 0.08s 0.18s
% Output   : Refutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :  260
% Syntax   : Number of formulae    :  943 (  28 unt; 147 def)
%            Number of atoms       : 2953 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3454 (1444   ~;1863   |;   0   &)
%                                         ( 147 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  180 ( 179 usr; 176 prp; 0-1 aty)
%            Number of functors    :   25 (  25 usr;  25 con; 0-0 aty)
%            Number of variables   :  184 (   0 sgn 184   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( hskp0
    | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f6,negated_conjecture,
    ( ~ hskp27
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).

fof(f13,negated_conjecture,
    ( ~ hskp20
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).

fof(f20,negated_conjecture,
    ( ~ hskp13
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).

fof(f35,negated_conjecture,
    ( hskp28
    | hskp6
    | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

fof(f36,negated_conjecture,
    ( hskp20
    | hskp27
    | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f37,negated_conjecture,
    ( ~ hskp31
    | c0_1(a1148) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( ~ hskp31
    | c1_1(a1148) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ( ~ hskp31
    | c2_1(a1148) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ( ~ hskp30
    | c0_1(a1109) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ( ~ hskp30
    | c1_1(a1109) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( ~ hskp30
    | c3_1(a1109) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( ~ hskp29
    | c1_1(a1101) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp29
    | c2_1(a1101) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp29
    | c3_1(a1101) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp28
    | c0_1(a1092) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp28
    | c2_1(a1092) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp28
    | c3_1(a1092) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f50,negated_conjecture,
    ( ~ hskp26
    | c2_1(a1146) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp26
    | c3_1(a1146) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f54,negated_conjecture,
    ( ~ hskp23
    | c0_1(a1122) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f55,negated_conjecture,
    ( ~ hskp23
    | c2_1(a1122) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f58,negated_conjecture,
    ( ~ hskp21
    | c1_1(a1120) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp21
    | c2_1(a1120) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f61,negated_conjecture,
    ( ~ hskp19
    | c0_1(a1113) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp19
    | c1_1(a1113) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp18
    | c0_1(a1103) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp18
    | c3_1(a1103) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( ~ hskp17
    | c3_1(a1102) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f68,negated_conjecture,
    ( ~ hskp14
    | c1_1(a1097) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp14
    | c3_1(a1097) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp13
    | c3_1(a1095) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f73,negated_conjecture,
    ( ~ hskp11
    | c2_1(a1091) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp9
    | c2_1(a1089) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp9
    | c3_1(a1089) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp8
    | c0_1(a1088) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp8
    | c3_1(a1088) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp6
    | c0_1(a1086) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp6
    | c2_1(a1086) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp5
    | c2_1(a1085) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp4
    | c0_1(a1084) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp3
    | c1_1(a1083) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ hskp1
    | c3_1(a1081) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ hskp0
    | c1_1(a1080) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f87,negated_conjecture,
    ( ~ c0_1(a1146)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ c1_1(a1125)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ c2_1(a1125)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ c3_1(a1125)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f94,negated_conjecture,
    ( ~ c3_1(a1120)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f97,negated_conjecture,
    ( ~ c2_1(a1113)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ c1_1(a1103)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c0_1(a1102)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c2_1(a1102)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f105,negated_conjecture,
    ( ~ c2_1(a1097)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c1_1(a1095)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c2_1(a1095)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f109,negated_conjecture,
    ( ~ c0_1(a1091)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c3_1(a1091)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ c0_1(a1090)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ c1_1(a1090)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ c3_1(a1090)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c1_1(a1089)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c2_1(a1088)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c0_1(a1087)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c1_1(a1087)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c2_1(a1087)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ c1_1(a1086)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ c0_1(a1085)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c1_1(a1085)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c1_1(a1084)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ c3_1(a1084)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ c2_1(a1083)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ c3_1(a1083)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ c0_1(a1082)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ c2_1(a1082)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ c3_1(a1082)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ c0_1(a1081)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ c1_1(a1081)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ( ~ c0_1(a1080)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( ~ c2_1(a1080)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f135,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f136,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp6
      | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp6
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f138,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp8
      | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f139,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp28
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f147,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f151,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp30
      | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f152,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp9
      | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f154,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp0
      | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f158,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp4
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f159,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp28
      | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f160,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp5
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f162,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp31
      | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

fof(f165,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f166,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f167,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f168,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f170,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f171,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X1)
      | c1_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f177,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X1)
      | c1_1(X1)
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f178,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f180,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c3_1(X0)
      | c3_1(X1)
      | hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c1_1(X1)
      | hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c2_1(X1)
      | hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

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

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

fof(f185,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f186,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X2)
      | c2_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f187,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

fof(f188,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | c0_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

fof(f193,plain,
    ( ~ hskp27
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f6]) ).

fof(f200,plain,
    ( hskp20
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f13]) ).

fof(f207,plain,
    ( hskp13
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f20]) ).

fof(f222,plain,
    ( ~ hskp28
    | ~ hskp6
    | hskp18 ),
    inference(consistent_polarity_flipping,[],[f35]) ).

fof(f223,plain,
    ( ~ hskp20
    | hskp27
    | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f36]) ).

fof(f224,plain,
    ( hskp31
    | ~ c0_1(a1148) ),
    inference(consistent_polarity_flipping,[],[f37]) ).

fof(f225,plain,
    ( hskp31
    | ~ c1_1(a1148) ),
    inference(consistent_polarity_flipping,[],[f38]) ).

fof(f226,plain,
    ( hskp31
    | c2_1(a1148) ),
    inference(consistent_polarity_flipping,[],[f39]) ).

fof(f227,plain,
    ( ~ hskp30
    | ~ c0_1(a1109) ),
    inference(consistent_polarity_flipping,[],[f40]) ).

fof(f228,plain,
    ( ~ hskp30
    | ~ c1_1(a1109) ),
    inference(consistent_polarity_flipping,[],[f41]) ).

fof(f229,plain,
    ( hskp29
    | ~ c1_1(a1101) ),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f230,plain,
    ( hskp29
    | c2_1(a1101) ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f231,plain,
    ( hskp29
    | c3_1(a1101) ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f232,plain,
    ( hskp28
    | ~ c0_1(a1092) ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f233,plain,
    ( hskp28
    | c2_1(a1092) ),
    inference(consistent_polarity_flipping,[],[f47]) ).

fof(f234,plain,
    ( hskp28
    | c3_1(a1092) ),
    inference(consistent_polarity_flipping,[],[f48]) ).

fof(f236,plain,
    ( hskp26
    | c2_1(a1146) ),
    inference(consistent_polarity_flipping,[],[f50]) ).

fof(f237,plain,
    ( hskp26
    | c3_1(a1146) ),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f240,plain,
    ( ~ hskp23
    | ~ c0_1(a1122) ),
    inference(consistent_polarity_flipping,[],[f54]) ).

fof(f242,plain,
    ( ~ hskp21
    | ~ c1_1(a1120) ),
    inference(consistent_polarity_flipping,[],[f58]) ).

fof(f244,plain,
    ( ~ hskp19
    | ~ c0_1(a1113) ),
    inference(consistent_polarity_flipping,[],[f61]) ).

fof(f245,plain,
    ( ~ hskp19
    | ~ c1_1(a1113) ),
    inference(consistent_polarity_flipping,[],[f62]) ).

fof(f246,plain,
    ( ~ hskp18
    | ~ c0_1(a1103) ),
    inference(consistent_polarity_flipping,[],[f63]) ).

fof(f247,plain,
    ( hskp17
    | c3_1(a1102) ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f249,plain,
    ( ~ hskp14
    | ~ c1_1(a1097) ),
    inference(consistent_polarity_flipping,[],[f68]) ).

fof(f250,plain,
    ( hskp13
    | c3_1(a1095) ),
    inference(consistent_polarity_flipping,[],[f70]) ).

fof(f253,plain,
    ( hskp11
    | c2_1(a1091) ),
    inference(consistent_polarity_flipping,[],[f73]) ).

fof(f254,plain,
    ( ~ hskp8
    | ~ c0_1(a1088) ),
    inference(consistent_polarity_flipping,[],[f76]) ).

fof(f255,plain,
    ( hskp6
    | ~ c0_1(a1086) ),
    inference(consistent_polarity_flipping,[],[f78]) ).

fof(f256,plain,
    ( hskp6
    | c2_1(a1086) ),
    inference(consistent_polarity_flipping,[],[f79]) ).

fof(f257,plain,
    ( ~ hskp4
    | ~ c0_1(a1084) ),
    inference(consistent_polarity_flipping,[],[f81]) ).

fof(f258,plain,
    ( hskp3
    | ~ c1_1(a1083) ),
    inference(consistent_polarity_flipping,[],[f82]) ).

fof(f259,plain,
    ( ~ hskp0
    | ~ c1_1(a1080) ),
    inference(consistent_polarity_flipping,[],[f84]) ).

fof(f260,plain,
    ( c0_1(a1146)
    | hskp26 ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f261,plain,
    ( c1_1(a1125)
    | hskp25 ),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f262,plain,
    ( ~ c2_1(a1125)
    | hskp25 ),
    inference(consistent_polarity_flipping,[],[f89]) ).

fof(f263,plain,
    ( ~ c3_1(a1125)
    | hskp25 ),
    inference(consistent_polarity_flipping,[],[f90]) ).

fof(f268,plain,
    ( c1_1(a1103)
    | ~ hskp18 ),
    inference(consistent_polarity_flipping,[],[f98]) ).

fof(f269,plain,
    ( c0_1(a1102)
    | hskp17 ),
    inference(consistent_polarity_flipping,[],[f99]) ).

fof(f270,plain,
    ( ~ c2_1(a1102)
    | hskp17 ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f273,plain,
    ( c1_1(a1095)
    | hskp13 ),
    inference(consistent_polarity_flipping,[],[f106]) ).

fof(f274,plain,
    ( ~ c2_1(a1095)
    | hskp13 ),
    inference(consistent_polarity_flipping,[],[f107]) ).

fof(f276,plain,
    ( c0_1(a1091)
    | hskp11 ),
    inference(consistent_polarity_flipping,[],[f109]) ).

fof(f277,plain,
    ( ~ c3_1(a1091)
    | hskp11 ),
    inference(consistent_polarity_flipping,[],[f110]) ).

fof(f278,plain,
    ( c0_1(a1090)
    | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f111]) ).

fof(f279,plain,
    ( c1_1(a1090)
    | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f112]) ).

fof(f280,plain,
    ( c1_1(a1089)
    | ~ hskp9 ),
    inference(consistent_polarity_flipping,[],[f114]) ).

fof(f281,plain,
    ( c0_1(a1087)
    | hskp7 ),
    inference(consistent_polarity_flipping,[],[f116]) ).

fof(f282,plain,
    ( c1_1(a1087)
    | hskp7 ),
    inference(consistent_polarity_flipping,[],[f117]) ).

fof(f283,plain,
    ( ~ c2_1(a1087)
    | hskp7 ),
    inference(consistent_polarity_flipping,[],[f118]) ).

fof(f284,plain,
    ( c1_1(a1086)
    | hskp6 ),
    inference(consistent_polarity_flipping,[],[f119]) ).

fof(f285,plain,
    ( c0_1(a1085)
    | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f120]) ).

fof(f286,plain,
    ( c1_1(a1085)
    | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f121]) ).

fof(f287,plain,
    ( c1_1(a1084)
    | ~ hskp4 ),
    inference(consistent_polarity_flipping,[],[f122]) ).

fof(f288,plain,
    ( ~ c2_1(a1083)
    | hskp3 ),
    inference(consistent_polarity_flipping,[],[f124]) ).

fof(f289,plain,
    ( ~ c3_1(a1083)
    | hskp3 ),
    inference(consistent_polarity_flipping,[],[f125]) ).

fof(f290,plain,
    ( c0_1(a1082)
    | hskp2 ),
    inference(consistent_polarity_flipping,[],[f126]) ).

fof(f291,plain,
    ( ~ c2_1(a1082)
    | hskp2 ),
    inference(consistent_polarity_flipping,[],[f127]) ).

fof(f292,plain,
    ( ~ c3_1(a1082)
    | hskp2 ),
    inference(consistent_polarity_flipping,[],[f128]) ).

fof(f293,plain,
    ( c0_1(a1081)
    | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f129]) ).

fof(f294,plain,
    ( c1_1(a1081)
    | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f295,plain,
    ( c0_1(a1080)
    | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f131]) ).

fof(f298,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | ndr1_0
      | ~ c0_1(X0)
      | c3_1(X0)
      | hskp18 ),
    inference(consistent_polarity_flipping,[],[f135]) ).

fof(f299,plain,
    ! [X0] :
      ( ndr1_0
      | ~ c1_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | ~ hskp6
      | hskp8 ),
    inference(consistent_polarity_flipping,[],[f136]) ).

fof(f300,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ hskp6
      | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f137]) ).

fof(f301,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | hskp8
      | hskp9 ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f302,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ hskp28
      | hskp1 ),
    inference(consistent_polarity_flipping,[],[f139]) ).

fof(f306,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | ~ c0_1(X0)
      | hskp19 ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f310,plain,
    ! [X0] :
      ( c0_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | ~ c1_1(X0)
      | hskp14 ),
    inference(consistent_polarity_flipping,[],[f147]) ).

fof(f311,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | ~ c1_1(X0)
      | hskp21 ),
    inference(consistent_polarity_flipping,[],[f148]) ).

fof(f314,plain,
    ! [X0] :
      ( c1_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | ~ c0_1(X0)
      | hskp30
      | hskp18 ),
    inference(consistent_polarity_flipping,[],[f151]) ).

fof(f315,plain,
    ! [X0] :
      ( c1_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | ~ c0_1(X0)
      | hskp9
      | ~ hskp2 ),
    inference(consistent_polarity_flipping,[],[f152]) ).

fof(f317,plain,
    ! [X0] :
      ( c0_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | ~ c1_1(X0)
      | hskp0
      | ~ hskp2 ),
    inference(consistent_polarity_flipping,[],[f154]) ).

fof(f321,plain,
    ! [X0] :
      ( c0_1(X0)
      | c1_1(X0)
      | ndr1_0
      | c2_1(X0)
      | hskp4
      | hskp1 ),
    inference(consistent_polarity_flipping,[],[f158]) ).

fof(f322,plain,
    ! [X0] :
      ( c0_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c2_1(X0)
      | ~ hskp28
      | hskp9 ),
    inference(consistent_polarity_flipping,[],[f159]) ).

fof(f323,plain,
    ! [X0] :
      ( c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | hskp5
      | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f160]) ).

fof(f325,plain,
    ! [X0] :
      ( c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | ~ hskp31
      | ~ hskp3 ),
    inference(consistent_polarity_flipping,[],[f162]) ).

fof(f328,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ hskp3 ),
    inference(consistent_polarity_flipping,[],[f165]) ).

fof(f329,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | hskp4 ),
    inference(consistent_polarity_flipping,[],[f166]) ).

fof(f330,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | ndr1_0
      | c3_1(X0)
      | ~ c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp9 ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f331,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X1)
      | c2_1(X1)
      | hskp23 ),
    inference(consistent_polarity_flipping,[],[f168]) ).

fof(f333,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | c2_1(X1)
      | hskp5 ),
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f334,plain,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | c3_1(X1)
      | ~ hskp29 ),
    inference(consistent_polarity_flipping,[],[f171]) ).

fof(f339,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | hskp10 ),
    inference(consistent_polarity_flipping,[],[f176]) ).

fof(f340,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ hskp11 ),
    inference(consistent_polarity_flipping,[],[f177]) ).

fof(f341,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | c3_1(X1)
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f178]) ).

fof(f343,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | c0_1(X1)
      | ~ c2_1(X1)
      | c3_1(X0)
      | c3_1(X1)
      | ~ hskp31 ),
    inference(consistent_polarity_flipping,[],[f180]) ).

fof(f344,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ hskp25 ),
    inference(consistent_polarity_flipping,[],[f181]) ).

fof(f345,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c1_1(X1)
      | ~ c3_1(X1)
      | c2_1(X1)
      | ~ hskp26 ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f346,plain,
    ! [X2,X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | ~ c0_1(X2)
      | ~ c1_1(X2)
      | c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f183]) ).

fof(f347,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | ndr1_0
      | ~ c3_1(X1)
      | c3_1(X0)
      | ~ c0_1(X1)
      | c2_1(X1)
      | ~ c0_1(X2)
      | ~ c1_1(X2)
      | c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f184]) ).

fof(f348,plain,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c1_1(X1)
      | c2_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | ~ c0_1(X2)
      | ~ c1_1(X2)
      | c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f185]) ).

fof(f349,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | ndr1_0
      | c0_1(X1)
      | ~ c2_1(X2)
      | c2_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | ~ c0_1(X2)
      | ~ c1_1(X2) ),
    inference(consistent_polarity_flipping,[],[f186]) ).

fof(f350,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c0_1(X1)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X2)
      | ~ c1_1(X2)
      | c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f187]) ).

fof(f351,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X2)
      | ~ c1_1(X2) ),
    inference(consistent_polarity_flipping,[],[f188]) ).

fof(f353,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c1_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f354,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | ~ c1_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f356,definition,
    ( spl0_2
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f357,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f359,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f363,definition,
    ( spl0_4
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f364,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f365,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f351,f363,f359,f356,f353]) ).

fof(f367,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f368,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f370,definition,
    ( spl0_6
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f371,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f373,definition,
    ( spl0_7
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f374,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f375,plain,
    ( spl0_5
    | spl0_6
    | spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f350,f373,f359,f370,f367]) ).

fof(f377,definition,
    ( spl0_8
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f378,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f380,definition,
    ( spl0_9
  <=> ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f381,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f382,plain,
    ( spl0_1
    | spl0_8
    | spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f349,f380,f359,f377,f353]) ).

fof(f384,definition,
    ( spl0_10
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f385,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f387,definition,
    ( spl0_11
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f388,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f390,definition,
    ( spl0_12
  <=> ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f391,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f392,plain,
    ( spl0_10
    | spl0_11
    | spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f348,f390,f359,f387,f384]) ).

fof(f394,definition,
    ( spl0_13
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f395,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f397,definition,
    ( spl0_14
  <=> ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f398,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f399,plain,
    ( spl0_5
    | spl0_13
    | spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f347,f397,f359,f394,f367]) ).

fof(f401,definition,
    ( spl0_15
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f402,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f404,definition,
    ( spl0_16
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f405,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f406,plain,
    ( spl0_5
    | spl0_15
    | spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f346,f404,f359,f401,f367]) ).

fof(f408,definition,
    ( spl0_17
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f411,plain,
    ( ~ spl0_17
    | spl0_12
    | spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f345,f373,f359,f390,f408]) ).

fof(f413,definition,
    ( spl0_18
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f417,definition,
    ( spl0_19
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f418,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f419,plain,
    ( ~ spl0_18
    | spl0_19
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f344,f363,f359,f417,f413]) ).

fof(f421,definition,
    ( spl0_20
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f425,definition,
    ( spl0_21
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f426,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f428,definition,
    ( spl0_22
  <=> ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f429,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f430,plain,
    ( ~ spl0_20
    | spl0_21
    | spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f343,f428,f359,f425,f421]) ).

fof(f432,definition,
    ( spl0_23
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f437,definition,
    ( spl0_24
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f441,definition,
    ( spl0_25
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f442,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f443,plain,
    ( ~ spl0_24
    | spl0_25
    | spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f341,f370,f359,f441,f437]) ).

fof(f445,definition,
    ( spl0_26
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f449,definition,
    ( spl0_27
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f450,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f451,plain,
    ( ~ spl0_26
    | spl0_27
    | spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f340,f373,f359,f449,f445]) ).

fof(f453,definition,
    ( spl0_28
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f456,plain,
    ( spl0_28
    | spl0_27
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f339,f363,f359,f449,f453]) ).

fof(f462,definition,
    ( spl0_30
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f466,definition,
    ( spl0_31
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f467,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f470,definition,
    ( spl0_32
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f474,definition,
    ( spl0_33
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f475,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f477,definition,
    ( spl0_34
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f478,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f481,definition,
    ( spl0_35
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f486,definition,
    ( spl0_36
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f490,definition,
    ( spl0_37
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f491,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f492,plain,
    ( ~ spl0_36
    | spl0_37
    | spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f334,f404,f359,f490,f486]) ).

fof(f494,definition,
    ( spl0_38
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f495,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f494]) ).

fof(f497,definition,
    ( spl0_39
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f498,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f499,plain,
    ( spl0_23
    | spl0_38
    | spl0_3
    | spl0_39 ),
    inference(avatar_split_clause,[],[f333,f497,f359,f494,f432]) ).

fof(f502,definition,
    ( spl0_40
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f505,plain,
    ( spl0_40
    | spl0_31
    | spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f331,f387,f359,f466,f502]) ).

fof(f506,plain,
    ( spl0_35
    | spl0_33
    | spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f330,f397,f359,f474,f481]) ).

fof(f508,definition,
    ( spl0_41
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f511,plain,
    ( spl0_41
    | spl0_1
    | spl0_3
    | spl0_37 ),
    inference(avatar_split_clause,[],[f329,f490,f359,f353,f508]) ).

fof(f513,definition,
    ( spl0_42
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f516,plain,
    ( ~ spl0_42
    | spl0_1
    | spl0_3
    | spl0_38 ),
    inference(avatar_split_clause,[],[f328,f494,f359,f353,f513]) ).

fof(f518,definition,
    ( spl0_43
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f527,plain,
    ( ~ spl0_42
    | ~ spl0_20
    | spl0_3
    | spl0_34 ),
    inference(avatar_split_clause,[],[f325,f477,f359,f421,f513]) ).

fof(f529,definition,
    ( spl0_45
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f533,definition,
    ( spl0_46
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f538,definition,
    ( spl0_47
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f541,plain,
    ( ~ spl0_47
    | spl0_23
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f323,f363,f359,f432,f538]) ).

fof(f543,definition,
    ( spl0_48
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f547,definition,
    ( spl0_49
  <=> ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f548,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f549,plain,
    ( spl0_35
    | ~ spl0_48
    | spl0_3
    | spl0_49 ),
    inference(avatar_split_clause,[],[f322,f547,f359,f543,f481]) ).

fof(f550,plain,
    ( spl0_30
    | spl0_41
    | spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f321,f380,f359,f508,f462]) ).

fof(f552,definition,
    ( spl0_50
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f558,definition,
    ( spl0_51
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f562,plain,
    ( ~ spl0_45
    | spl0_43
    | spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f317,f417,f359,f518,f529]) ).

fof(f564,definition,
    ( spl0_52
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f565,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f568,definition,
    ( spl0_53
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f569,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f570,plain,
    ( ~ spl0_45
    | spl0_35
    | spl0_3
    | spl0_53 ),
    inference(avatar_split_clause,[],[f315,f568,f359,f481,f529]) ).

fof(f572,definition,
    ( spl0_54
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f575,plain,
    ( spl0_54
    | spl0_50
    | spl0_3
    | spl0_53 ),
    inference(avatar_split_clause,[],[f314,f568,f359,f552,f572]) ).

fof(f587,definition,
    ( spl0_57
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f590,plain,
    ( spl0_57
    | spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f311,f404,f359,f587]) ).

fof(f591,plain,
    ( spl0_51
    | spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f310,f417,f359,f558]) ).

fof(f601,plain,
    ( spl0_46
    | spl0_3
    | spl0_52 ),
    inference(avatar_split_clause,[],[f306,f564,f359,f533]) ).

fof(f609,plain,
    ( spl0_30
    | ~ spl0_48
    | spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f302,f449,f359,f543,f462]) ).

fof(f611,definition,
    ( spl0_61
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f614,plain,
    ( spl0_35
    | spl0_61
    | spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f301,f353,f359,f611,f481]) ).

fof(f616,definition,
    ( spl0_62
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f620,definition,
    ( spl0_63
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f623,plain,
    ( ~ spl0_62
    | ~ spl0_63
    | spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f300,f353,f359,f620,f616]) ).

fof(f624,plain,
    ( spl0_61
    | ~ spl0_63
    | spl0_33
    | spl0_3 ),
    inference(avatar_split_clause,[],[f299,f359,f474,f620,f611]) ).

fof(f625,plain,
    ( spl0_54
    | spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f298,f441,f359,f572]) ).

fof(f633,definition,
    ( spl0_65
  <=> c2_1(a1080) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f635,plain,
    ( ~ c2_1(a1080)
    | spl0_65 ),
    inference(avatar_component_clause,[],[f633]) ).

fof(f636,plain,
    ( ~ spl0_43
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f132,f633,f518]) ).

fof(f638,definition,
    ( spl0_66
  <=> c0_1(a1080) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f641,plain,
    ( ~ spl0_43
    | spl0_66 ),
    inference(avatar_split_clause,[],[f295,f638,f518]) ).

fof(f643,definition,
    ( spl0_67
  <=> c1_1(a1081) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f646,plain,
    ( ~ spl0_30
    | spl0_67 ),
    inference(avatar_split_clause,[],[f294,f643,f462]) ).

fof(f648,definition,
    ( spl0_68
  <=> c0_1(a1081) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f651,plain,
    ( ~ spl0_30
    | spl0_68 ),
    inference(avatar_split_clause,[],[f293,f648,f462]) ).

fof(f653,definition,
    ( spl0_69
  <=> c3_1(a1082) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f655,plain,
    ( ~ c3_1(a1082)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f656,plain,
    ( spl0_45
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f292,f653,f529]) ).

fof(f658,definition,
    ( spl0_70
  <=> c2_1(a1082) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f660,plain,
    ( ~ c2_1(a1082)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f661,plain,
    ( spl0_45
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f291,f658,f529]) ).

fof(f663,definition,
    ( spl0_71
  <=> c0_1(a1082) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f666,plain,
    ( spl0_45
    | spl0_71 ),
    inference(avatar_split_clause,[],[f290,f663,f529]) ).

fof(f668,definition,
    ( spl0_72
  <=> c3_1(a1083) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f670,plain,
    ( ~ c3_1(a1083)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f671,plain,
    ( spl0_42
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f289,f668,f513]) ).

fof(f673,definition,
    ( spl0_73
  <=> c2_1(a1083) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f676,plain,
    ( spl0_42
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f288,f673,f513]) ).

fof(f678,definition,
    ( spl0_74
  <=> c3_1(a1084) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f680,plain,
    ( ~ c3_1(a1084)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f681,plain,
    ( ~ spl0_41
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f123,f678,f508]) ).

fof(f683,definition,
    ( spl0_75
  <=> c1_1(a1084) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f686,plain,
    ( ~ spl0_41
    | spl0_75 ),
    inference(avatar_split_clause,[],[f287,f683,f508]) ).

fof(f688,definition,
    ( spl0_76
  <=> c1_1(a1085) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f691,plain,
    ( ~ spl0_23
    | spl0_76 ),
    inference(avatar_split_clause,[],[f286,f688,f432]) ).

fof(f693,definition,
    ( spl0_77
  <=> c0_1(a1085) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f696,plain,
    ( ~ spl0_23
    | spl0_77 ),
    inference(avatar_split_clause,[],[f285,f693,f432]) ).

fof(f698,definition,
    ( spl0_78
  <=> c1_1(a1086) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f701,plain,
    ( spl0_63
    | spl0_78 ),
    inference(avatar_split_clause,[],[f284,f698,f620]) ).

fof(f703,definition,
    ( spl0_79
  <=> c2_1(a1087) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f705,plain,
    ( ~ c2_1(a1087)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f703]) ).

fof(f706,plain,
    ( spl0_62
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f283,f703,f616]) ).

fof(f708,definition,
    ( spl0_80
  <=> c1_1(a1087) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f711,plain,
    ( spl0_62
    | spl0_80 ),
    inference(avatar_split_clause,[],[f282,f708,f616]) ).

fof(f713,definition,
    ( spl0_81
  <=> c0_1(a1087) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f716,plain,
    ( spl0_62
    | spl0_81 ),
    inference(avatar_split_clause,[],[f281,f713,f616]) ).

fof(f718,definition,
    ( spl0_82
  <=> c2_1(a1088) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f721,plain,
    ( ~ spl0_61
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f115,f718,f611]) ).

fof(f723,definition,
    ( spl0_83
  <=> c1_1(a1089) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f726,plain,
    ( ~ spl0_35
    | spl0_83 ),
    inference(avatar_split_clause,[],[f280,f723,f481]) ).

fof(f728,definition,
    ( spl0_84
  <=> c3_1(a1090) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f730,plain,
    ( ~ c3_1(a1090)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f728]) ).

fof(f731,plain,
    ( ~ spl0_28
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f113,f728,f453]) ).

fof(f733,definition,
    ( spl0_85
  <=> c1_1(a1090) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f736,plain,
    ( ~ spl0_28
    | spl0_85 ),
    inference(avatar_split_clause,[],[f279,f733,f453]) ).

fof(f738,definition,
    ( spl0_86
  <=> c0_1(a1090) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f741,plain,
    ( ~ spl0_28
    | spl0_86 ),
    inference(avatar_split_clause,[],[f278,f738,f453]) ).

fof(f743,definition,
    ( spl0_87
  <=> c3_1(a1091) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f745,plain,
    ( ~ c3_1(a1091)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f746,plain,
    ( spl0_26
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f277,f743,f445]) ).

fof(f748,definition,
    ( spl0_88
  <=> c0_1(a1091) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f751,plain,
    ( spl0_26
    | spl0_88 ),
    inference(avatar_split_clause,[],[f276,f748,f445]) ).

fof(f758,definition,
    ( spl0_90
  <=> c2_1(a1095) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f760,plain,
    ( ~ c2_1(a1095)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f761,plain,
    ( spl0_47
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f274,f758,f538]) ).

fof(f763,definition,
    ( spl0_91
  <=> c1_1(a1095) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f766,plain,
    ( spl0_47
    | spl0_91 ),
    inference(avatar_split_clause,[],[f273,f763,f538]) ).

fof(f768,definition,
    ( spl0_92
  <=> c2_1(a1097) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f770,plain,
    ( ~ c2_1(a1097)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f771,plain,
    ( ~ spl0_51
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f105,f768,f558]) ).

fof(f793,definition,
    ( spl0_97
  <=> c2_1(a1102) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f795,plain,
    ( ~ c2_1(a1102)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f796,plain,
    ( spl0_24
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f270,f793,f437]) ).

fof(f798,definition,
    ( spl0_98
  <=> c0_1(a1102) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f801,plain,
    ( spl0_24
    | spl0_98 ),
    inference(avatar_split_clause,[],[f269,f798,f437]) ).

fof(f803,definition,
    ( spl0_99
  <=> c1_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f806,plain,
    ( ~ spl0_54
    | spl0_99 ),
    inference(avatar_split_clause,[],[f268,f803,f572]) ).

fof(f808,definition,
    ( spl0_100
  <=> c2_1(a1113) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f810,plain,
    ( ~ c2_1(a1113)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f808]) ).

fof(f811,plain,
    ( ~ spl0_46
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f97,f808,f533]) ).

fof(f823,definition,
    ( spl0_103
  <=> c3_1(a1120) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f825,plain,
    ( ~ c3_1(a1120)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f826,plain,
    ( ~ spl0_57
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f94,f823,f587]) ).

fof(f843,definition,
    ( spl0_107
  <=> c3_1(a1125) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f845,plain,
    ( ~ c3_1(a1125)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f846,plain,
    ( spl0_18
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f263,f843,f413]) ).

fof(f848,definition,
    ( spl0_108
  <=> c2_1(a1125) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f850,plain,
    ( ~ c2_1(a1125)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f851,plain,
    ( spl0_18
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f262,f848,f413]) ).

fof(f853,definition,
    ( spl0_109
  <=> c1_1(a1125) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f856,plain,
    ( spl0_18
    | spl0_109 ),
    inference(avatar_split_clause,[],[f261,f853,f413]) ).

fof(f858,definition,
    ( spl0_110
  <=> c0_1(a1146) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f861,plain,
    ( spl0_17
    | spl0_110 ),
    inference(avatar_split_clause,[],[f260,f858,f408]) ).

fof(f863,definition,
    ( spl0_111
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f877,definition,
    ( spl0_114
  <=> c1_1(a1080) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f880,plain,
    ( ~ spl0_114
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f259,f518,f877]) ).

fof(f882,definition,
    ( spl0_115
  <=> c3_1(a1081) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f884,plain,
    ( c3_1(a1081)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f885,plain,
    ( spl0_115
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f83,f462,f882]) ).

fof(f887,definition,
    ( spl0_116
  <=> c1_1(a1083) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f890,plain,
    ( ~ spl0_116
    | spl0_42 ),
    inference(avatar_split_clause,[],[f258,f513,f887]) ).

fof(f892,definition,
    ( spl0_117
  <=> c0_1(a1084) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f895,plain,
    ( ~ spl0_117
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f257,f508,f892]) ).

fof(f897,definition,
    ( spl0_118
  <=> c2_1(a1085) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f899,plain,
    ( c2_1(a1085)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f900,plain,
    ( spl0_118
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f80,f432,f897]) ).

fof(f902,definition,
    ( spl0_119
  <=> c2_1(a1086) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f904,plain,
    ( c2_1(a1086)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f902]) ).

fof(f905,plain,
    ( spl0_119
    | spl0_63 ),
    inference(avatar_split_clause,[],[f256,f620,f902]) ).

fof(f907,definition,
    ( spl0_120
  <=> c0_1(a1086) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f910,plain,
    ( ~ spl0_120
    | spl0_63 ),
    inference(avatar_split_clause,[],[f255,f620,f907]) ).

fof(f912,definition,
    ( spl0_121
  <=> c3_1(a1088) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f914,plain,
    ( c3_1(a1088)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f912]) ).

fof(f915,plain,
    ( spl0_121
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f77,f611,f912]) ).

fof(f917,definition,
    ( spl0_122
  <=> c0_1(a1088) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f920,plain,
    ( ~ spl0_122
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f254,f611,f917]) ).

fof(f922,definition,
    ( spl0_123
  <=> c3_1(a1089) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f924,plain,
    ( c3_1(a1089)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f922]) ).

fof(f925,plain,
    ( spl0_123
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f75,f481,f922]) ).

fof(f927,definition,
    ( spl0_124
  <=> c2_1(a1089) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f929,plain,
    ( c2_1(a1089)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f930,plain,
    ( spl0_124
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f74,f481,f927]) ).

fof(f932,definition,
    ( spl0_125
  <=> c2_1(a1091) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f935,plain,
    ( spl0_125
    | spl0_26 ),
    inference(avatar_split_clause,[],[f253,f445,f932]) ).

fof(f947,definition,
    ( spl0_128
  <=> c3_1(a1095) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f949,plain,
    ( c3_1(a1095)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f947]) ).

fof(f950,plain,
    ( spl0_128
    | spl0_47 ),
    inference(avatar_split_clause,[],[f250,f538,f947]) ).

fof(f952,definition,
    ( spl0_129
  <=> c3_1(a1097) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f954,plain,
    ( c3_1(a1097)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f952]) ).

fof(f955,plain,
    ( spl0_129
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f69,f558,f952]) ).

fof(f957,definition,
    ( spl0_130
  <=> c1_1(a1097) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f960,plain,
    ( ~ spl0_130
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f249,f558,f957]) ).

fof(f972,definition,
    ( spl0_133
  <=> c3_1(a1102) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f974,plain,
    ( c3_1(a1102)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f972]) ).

fof(f975,plain,
    ( spl0_133
    | spl0_24 ),
    inference(avatar_split_clause,[],[f247,f437,f972]) ).

fof(f977,definition,
    ( spl0_134
  <=> c3_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f979,plain,
    ( c3_1(a1103)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f977]) ).

fof(f980,plain,
    ( spl0_134
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f64,f572,f977]) ).

fof(f982,definition,
    ( spl0_135
  <=> c0_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f985,plain,
    ( ~ spl0_135
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f246,f572,f982]) ).

fof(f987,definition,
    ( spl0_136
  <=> c1_1(a1113) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f989,plain,
    ( ~ c1_1(a1113)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f987]) ).

fof(f990,plain,
    ( ~ spl0_136
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f245,f533,f987]) ).

fof(f992,definition,
    ( spl0_137
  <=> c0_1(a1113) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f995,plain,
    ( ~ spl0_137
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f244,f533,f992]) ).

fof(f1002,definition,
    ( spl0_139
  <=> c2_1(a1120) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f1004,plain,
    ( c2_1(a1120)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f1002]) ).

fof(f1005,plain,
    ( spl0_139
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f59,f587,f1002]) ).

fof(f1007,definition,
    ( spl0_140
  <=> c1_1(a1120) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1010,plain,
    ( ~ spl0_140
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f242,f587,f1007]) ).

fof(f1022,definition,
    ( spl0_143
  <=> c2_1(a1122) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f1024,plain,
    ( c2_1(a1122)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f1022]) ).

fof(f1025,plain,
    ( spl0_143
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f55,f502,f1022]) ).

fof(f1027,definition,
    ( spl0_144
  <=> c0_1(a1122) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1030,plain,
    ( ~ spl0_144
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f240,f502,f1027]) ).

fof(f1042,definition,
    ( spl0_147
  <=> c3_1(a1146) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1044,plain,
    ( c3_1(a1146)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f1042]) ).

fof(f1045,plain,
    ( spl0_147
    | spl0_17 ),
    inference(avatar_split_clause,[],[f237,f408,f1042]) ).

fof(f1047,definition,
    ( spl0_148
  <=> c2_1(a1146) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1050,plain,
    ( spl0_148
    | spl0_17 ),
    inference(avatar_split_clause,[],[f236,f408,f1047]) ).

fof(f1057,definition,
    ( spl0_150
  <=> c3_1(a1092) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1059,plain,
    ( c3_1(a1092)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1057]) ).

fof(f1060,plain,
    ( spl0_150
    | spl0_48 ),
    inference(avatar_split_clause,[],[f234,f543,f1057]) ).

fof(f1062,definition,
    ( spl0_151
  <=> c2_1(a1092) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1064,plain,
    ( c2_1(a1092)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f1062]) ).

fof(f1065,plain,
    ( spl0_151
    | spl0_48 ),
    inference(avatar_split_clause,[],[f233,f543,f1062]) ).

fof(f1067,definition,
    ( spl0_152
  <=> c0_1(a1092) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1070,plain,
    ( ~ spl0_152
    | spl0_48 ),
    inference(avatar_split_clause,[],[f232,f543,f1067]) ).

fof(f1072,definition,
    ( spl0_153
  <=> c3_1(a1101) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1074,plain,
    ( c3_1(a1101)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1072]) ).

fof(f1075,plain,
    ( spl0_153
    | spl0_36 ),
    inference(avatar_split_clause,[],[f231,f486,f1072]) ).

fof(f1077,definition,
    ( spl0_154
  <=> c2_1(a1101) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1080,plain,
    ( spl0_154
    | spl0_36 ),
    inference(avatar_split_clause,[],[f230,f486,f1077]) ).

fof(f1082,definition,
    ( spl0_155
  <=> c1_1(a1101) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1084,plain,
    ( ~ c1_1(a1101)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f1082]) ).

fof(f1085,plain,
    ( ~ spl0_155
    | spl0_36 ),
    inference(avatar_split_clause,[],[f229,f486,f1082]) ).

fof(f1087,definition,
    ( spl0_156
  <=> c3_1(a1109) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1089,plain,
    ( c3_1(a1109)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1087]) ).

fof(f1090,plain,
    ( spl0_156
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f42,f552,f1087]) ).

fof(f1092,definition,
    ( spl0_157
  <=> c1_1(a1109) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1095,plain,
    ( ~ spl0_157
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f228,f552,f1092]) ).

fof(f1097,definition,
    ( spl0_158
  <=> c0_1(a1109) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1100,plain,
    ( ~ spl0_158
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f227,f552,f1097]) ).

fof(f1102,definition,
    ( spl0_159
  <=> c2_1(a1148) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1104,plain,
    ( c2_1(a1148)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1102]) ).

fof(f1105,plain,
    ( spl0_159
    | spl0_20 ),
    inference(avatar_split_clause,[],[f226,f421,f1102]) ).

fof(f1107,definition,
    ( spl0_160
  <=> c1_1(a1148) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1110,plain,
    ( ~ spl0_160
    | spl0_20 ),
    inference(avatar_split_clause,[],[f225,f421,f1107]) ).

fof(f1112,definition,
    ( spl0_161
  <=> c0_1(a1148) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1115,plain,
    ( ~ spl0_161
    | spl0_20 ),
    inference(avatar_split_clause,[],[f224,f421,f1112]) ).

fof(f1116,plain,
    ( ~ spl0_47
    | spl0_111
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f223,f470,f863,f538]) ).

fof(f1117,plain,
    ( spl0_54
    | ~ spl0_63
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f222,f543,f620,f572]) ).

fof(f1132,plain,
    ( ~ spl0_3
    | spl0_47 ),
    inference(avatar_split_clause,[],[f207,f538,f359]) ).

fof(f1139,plain,
    ( ~ spl0_3
    | spl0_32 ),
    inference(avatar_split_clause,[],[f200,f470,f359]) ).

fof(f1146,plain,
    ( ~ spl0_3
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f193,f863,f359]) ).

fof(f1151,plain,
    ( spl0_23
    | spl0_43 ),
    inference(avatar_split_clause,[],[f1,f518,f432]) ).

fof(f1166,plain,
    ( ~ c0_1(a1102)
    | ~ c1_1(a1102)
    | ~ spl0_5
    | spl0_97 ),
    inference(resolution,[],[f368,f795]) ).

fof(f1208,definition,
    ( spl0_162
  <=> c2_1(a1090) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1209,plain,
    ( ~ c2_1(a1090)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1208]) ).

fof(f1213,definition,
    ( spl0_163
  <=> c0_1(a1125) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1218,definition,
    ( spl0_164
  <=> c2_1(a1081) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1220,plain,
    ( c2_1(a1081)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1218]) ).

fof(f1228,definition,
    ( spl0_166
  <=> c2_1(a1084) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1230,plain,
    ( c2_1(a1084)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1228]) ).

fof(f1233,definition,
    ( spl0_167
  <=> c0_1(a1089) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1244,definition,
    ( spl0_169
  <=> c0_1(a1095) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1249,definition,
    ( spl0_170
  <=> c0_1(a1097) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1265,definition,
    ( spl0_173
  <=> c2_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1270,definition,
    ( spl0_174
  <=> c0_1(a1120) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1284,definition,
    ( spl0_176
  <=> c0_1(a1101) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1289,definition,
    ( spl0_177
  <=> c2_1(a1109) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1291,plain,
    ( c2_1(a1109)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1289]) ).

fof(f1295,plain,
    ( ~ c0_1(a1090)
    | ~ c1_1(a1090)
    | ~ spl0_5
    | spl0_162 ),
    inference(resolution,[],[f1209,f368]) ).

fof(f1303,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(resolution,[],[f381,f364]) ).

fof(f1316,plain,
    ( c0_1(a1113)
    | c1_1(a1113)
    | ~ spl0_9
    | spl0_100 ),
    inference(resolution,[],[f381,f810]) ).

fof(f1321,plain,
    ( c0_1(a1097)
    | c1_1(a1097)
    | ~ spl0_9
    | spl0_92 ),
    inference(resolution,[],[f381,f770]) ).

fof(f1336,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(duplicate_literal_removal,[],[f1303]) ).

fof(f1338,definition,
    ( spl0_178
  <=> c1_1(a1082) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1349,definition,
    ( spl0_179
  <=> c1_1(a1088) ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

fof(f1361,plain,
    ( spl0_130
    | spl0_170
    | ~ spl0_9
    | spl0_92 ),
    inference(avatar_split_clause,[],[f1321,f768,f380,f1249,f957]) ).

fof(f1365,definition,
    ( spl0_181
  <=> c1_1(a1102) ),
    introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).

fof(f1370,plain,
    ( spl0_136
    | spl0_137
    | ~ spl0_9
    | spl0_100 ),
    inference(avatar_split_clause,[],[f1316,f808,f380,f992,f987]) ).

fof(f1374,definition,
    ( spl0_182
  <=> c1_1(a1122) ),
    introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).

fof(f1390,definition,
    ( spl0_185
  <=> c1_1(a1092) ),
    introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).

fof(f1440,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(resolution,[],[f398,f374]) ).

fof(f1447,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f1440]) ).

fof(f1450,plain,
    ( spl0_4
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f1447,f397,f373,f363]) ).

fof(f1486,plain,
    ( ~ c1_1(a1085)
    | ~ c0_1(a1085)
    | ~ spl0_1
    | ~ spl0_118 ),
    inference(resolution,[],[f354,f899]) ).

fof(f1487,plain,
    ( ~ c1_1(a1081)
    | ~ c0_1(a1081)
    | ~ spl0_1
    | ~ spl0_164 ),
    inference(resolution,[],[f354,f1220]) ).

fof(f1504,plain,
    ( ~ c0_1(a1095)
    | ~ c1_1(a1095)
    | ~ spl0_5
    | spl0_90 ),
    inference(resolution,[],[f368,f760]) ).

fof(f1511,plain,
    ( ~ c0_1(a1082)
    | ~ c1_1(a1082)
    | ~ spl0_5
    | spl0_70 ),
    inference(resolution,[],[f368,f660]) ).

fof(f1526,plain,
    ( c0_1(a1088)
    | c1_1(a1088)
    | ~ spl0_6
    | ~ spl0_121 ),
    inference(resolution,[],[f371,f914]) ).

fof(f1535,plain,
    ( spl0_179
    | spl0_122
    | ~ spl0_6
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1526,f912,f370,f917,f1349]) ).

fof(f1587,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(resolution,[],[f405,f385]) ).

fof(f1595,plain,
    ( ~ c1_1(a1103)
    | ~ c2_1(a1103)
    | ~ spl0_16
    | ~ spl0_134 ),
    inference(resolution,[],[f405,f979]) ).

fof(f1599,plain,
    ( ~ c1_1(a1089)
    | ~ c2_1(a1089)
    | ~ spl0_16
    | ~ spl0_123 ),
    inference(resolution,[],[f405,f924]) ).

fof(f1606,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f1587]) ).

fof(f1608,plain,
    ( ~ spl0_124
    | ~ spl0_83
    | ~ spl0_16
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1599,f922,f404,f723,f927]) ).

fof(f1609,plain,
    ( spl0_1
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f1606,f404,f384,f353]) ).

fof(f1624,plain,
    ( ~ c1_1(a1086)
    | c0_1(a1086)
    | ~ spl0_19
    | ~ spl0_119 ),
    inference(resolution,[],[f418,f904]) ).

fof(f1637,plain,
    ( c2_1(a1097)
    | c1_1(a1097)
    | ~ spl0_12
    | ~ spl0_129 ),
    inference(resolution,[],[f954,f391]) ).

fof(f1653,plain,
    ( ~ c0_1(a1125)
    | ~ c1_1(a1125)
    | ~ spl0_5
    | spl0_108 ),
    inference(resolution,[],[f850,f368]) ).

fof(f1659,plain,
    ( c0_1(a1101)
    | ~ spl0_4
    | ~ spl0_9
    | spl0_155 ),
    inference(resolution,[],[f1336,f1084]) ).

fof(f1663,plain,
    ( c0_1(a1113)
    | ~ spl0_4
    | ~ spl0_9
    | spl0_136 ),
    inference(resolution,[],[f1336,f989]) ).

fof(f1677,plain,
    ( spl0_137
    | ~ spl0_4
    | ~ spl0_9
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1663,f987,f380,f363,f992]) ).

fof(f1678,plain,
    ( spl0_176
    | ~ spl0_4
    | ~ spl0_9
    | spl0_155 ),
    inference(avatar_split_clause,[],[f1659,f1082,f380,f363,f1284]) ).

fof(f1688,plain,
    ( ~ spl0_77
    | ~ spl0_76
    | ~ spl0_1
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1486,f897,f353,f688,f693]) ).

fof(f1689,plain,
    ( ~ spl0_68
    | ~ spl0_67
    | ~ spl0_1
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f1487,f1218,f353,f643,f648]) ).

fof(f1693,plain,
    ( ~ c0_1(a1087)
    | ~ c1_1(a1087)
    | ~ spl0_5
    | spl0_79 ),
    inference(resolution,[],[f705,f368]) ).

fof(f1738,plain,
    ( c0_1(a1089)
    | ~ c2_1(a1089)
    | ~ spl0_7
    | ~ spl0_123 ),
    inference(resolution,[],[f374,f924]) ).

fof(f1752,plain,
    ( c1_1(a1083)
    | c2_1(a1083)
    | ~ spl0_11
    | spl0_72 ),
    inference(resolution,[],[f388,f670]) ).

fof(f1755,plain,
    ( c1_1(a1082)
    | c2_1(a1082)
    | ~ spl0_11
    | spl0_69 ),
    inference(resolution,[],[f388,f655]) ).

fof(f1772,plain,
    ( ~ c1_1(a1092)
    | c0_1(a1092)
    | ~ spl0_19
    | ~ spl0_151 ),
    inference(resolution,[],[f418,f1064]) ).

fof(f1804,plain,
    ( ~ c1_1(a1084)
    | c0_1(a1084)
    | ~ spl0_19
    | ~ spl0_166 ),
    inference(resolution,[],[f418,f1230]) ).

fof(f1808,plain,
    ( spl0_117
    | ~ spl0_75
    | ~ spl0_19
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1804,f1228,f417,f683,f892]) ).

fof(f1912,plain,
    ( c0_1(a1148)
    | c1_1(a1148)
    | ~ spl0_4
    | ~ spl0_159 ),
    inference(resolution,[],[f364,f1104]) ).

fof(f1913,plain,
    ( c0_1(a1109)
    | c1_1(a1109)
    | ~ spl0_4
    | ~ spl0_177 ),
    inference(resolution,[],[f364,f1291]) ).

fof(f1943,plain,
    ( ~ c2_1(a1091)
    | ~ c0_1(a1091)
    | ~ spl0_25
    | spl0_87 ),
    inference(resolution,[],[f442,f745]) ).

fof(f1946,plain,
    ( ~ c2_1(a1090)
    | ~ c0_1(a1090)
    | ~ spl0_25
    | spl0_84 ),
    inference(resolution,[],[f442,f730]) ).

fof(f1950,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_25
    | ~ spl0_27 ),
    inference(resolution,[],[f450,f442]) ).

fof(f1962,plain,
    ( ~ c1_1(a1089)
    | ~ c0_1(a1089)
    | ~ spl0_27
    | ~ spl0_123 ),
    inference(resolution,[],[f450,f924]) ).

fof(f1966,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_25
    | ~ spl0_27 ),
    inference(duplicate_literal_removal,[],[f1950]) ).

fof(f2003,plain,
    ( c2_1(a1103)
    | ~ c1_1(a1103)
    | ~ spl0_31
    | ~ spl0_134 ),
    inference(resolution,[],[f467,f979]) ).

fof(f2004,plain,
    ( c2_1(a1102)
    | ~ c1_1(a1102)
    | ~ spl0_31
    | ~ spl0_133 ),
    inference(resolution,[],[f467,f974]) ).

fof(f2010,plain,
    ( c2_1(a1088)
    | ~ c1_1(a1088)
    | ~ spl0_31
    | ~ spl0_121 ),
    inference(resolution,[],[f467,f914]) ).

fof(f2011,plain,
    ( c2_1(a1081)
    | ~ c1_1(a1081)
    | ~ spl0_31
    | ~ spl0_115 ),
    inference(resolution,[],[f467,f884]) ).

fof(f2028,plain,
    ( c0_1(a1122)
    | c1_1(a1122)
    | ~ spl0_4
    | ~ spl0_143 ),
    inference(resolution,[],[f1024,f364]) ).

fof(f2081,plain,
    ( spl0_1
    | ~ spl0_25
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f1966,f449,f441,f353]) ).

fof(f2083,plain,
    ( ~ spl0_86
    | ~ spl0_162
    | ~ spl0_25
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1946,f728,f441,f1208,f738]) ).

fof(f2098,plain,
    ( ~ c0_1(a1120)
    | c1_1(a1120)
    | ~ spl0_2
    | ~ spl0_139 ),
    inference(resolution,[],[f1004,f357]) ).

fof(f2124,plain,
    ( ~ c0_1(a1090)
    | ~ c1_1(a1090)
    | ~ spl0_10
    | spl0_84 ),
    inference(resolution,[],[f385,f730]) ).

fof(f2126,plain,
    ( ~ spl0_85
    | ~ spl0_86
    | ~ spl0_10
    | spl0_84 ),
    inference(avatar_split_clause,[],[f2124,f728,f384,f738,f733]) ).

fof(f2127,plain,
    ( spl0_70
    | spl0_178
    | ~ spl0_11
    | spl0_69 ),
    inference(avatar_split_clause,[],[f1755,f653,f387,f1338,f658]) ).

fof(f2171,plain,
    ( c2_1(a1097)
    | ~ c0_1(a1097)
    | ~ spl0_13
    | ~ spl0_129 ),
    inference(resolution,[],[f395,f954]) ).

fof(f2172,plain,
    ( c2_1(a1095)
    | ~ c0_1(a1095)
    | ~ spl0_13
    | ~ spl0_128 ),
    inference(resolution,[],[f395,f949]) ).

fof(f2195,plain,
    ( c0_1(a1101)
    | c1_1(a1101)
    | ~ spl0_6
    | ~ spl0_153 ),
    inference(resolution,[],[f371,f1074]) ).

fof(f2196,plain,
    ( c0_1(a1092)
    | c1_1(a1092)
    | ~ spl0_6
    | ~ spl0_150 ),
    inference(resolution,[],[f371,f1059]) ).

fof(f2212,plain,
    ( c0_1(a1120)
    | c1_1(a1120)
    | ~ spl0_14
    | spl0_103 ),
    inference(resolution,[],[f398,f825]) ).

fof(f2221,plain,
    ( spl0_140
    | spl0_174
    | ~ spl0_14
    | spl0_103 ),
    inference(avatar_split_clause,[],[f2212,f823,f397,f1270,f1007]) ).

fof(f2222,plain,
    ( spl0_130
    | spl0_92
    | ~ spl0_12
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1637,f952,f390,f768,f957]) ).

fof(f2227,plain,
    ( ~ spl0_170
    | spl0_92
    | ~ spl0_13
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2171,f952,f394,f768,f1249]) ).

fof(f2228,plain,
    ( ~ spl0_169
    | spl0_90
    | ~ spl0_13
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2172,f947,f394,f758,f1244]) ).

fof(f2247,plain,
    ( c2_1(a1102)
    | c1_1(a1102)
    | ~ spl0_12
    | ~ spl0_133 ),
    inference(resolution,[],[f391,f974]) ).

fof(f2265,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(resolution,[],[f402,f395]) ).

fof(f2278,plain,
    ( ~ c0_1(a1125)
    | c2_1(a1125)
    | ~ spl0_15
    | spl0_107 ),
    inference(resolution,[],[f402,f845]) ).

fof(f2282,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f2265]) ).

fof(f2302,plain,
    ( ~ c0_1(a1087)
    | ~ spl0_13
    | ~ spl0_15
    | spl0_79 ),
    inference(resolution,[],[f2282,f705]) ).

fof(f2306,plain,
    ( ~ spl0_81
    | ~ spl0_13
    | ~ spl0_15
    | spl0_79 ),
    inference(avatar_split_clause,[],[f2302,f703,f401,f394,f713]) ).

fof(f2325,plain,
    ( ~ spl0_88
    | ~ spl0_125
    | ~ spl0_25
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1943,f743,f441,f932,f748]) ).

fof(f2389,plain,
    ( ~ spl0_173
    | ~ spl0_99
    | ~ spl0_16
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1595,f977,f404,f803,f1265]) ).

fof(f2433,plain,
    ( c0_1(a1084)
    | c2_1(a1084)
    | ~ spl0_8
    | spl0_74 ),
    inference(resolution,[],[f378,f680]) ).

fof(f2435,plain,
    ( c0_1(a1125)
    | c2_1(a1125)
    | ~ spl0_8
    | spl0_107 ),
    inference(resolution,[],[f378,f845]) ).

fof(f2443,plain,
    ( ~ c1_1(a1092)
    | ~ c2_1(a1092)
    | ~ spl0_16
    | ~ spl0_150 ),
    inference(resolution,[],[f405,f1059]) ).

fof(f2456,plain,
    ( ~ c1_1(a1122)
    | c0_1(a1122)
    | ~ spl0_19
    | ~ spl0_143 ),
    inference(resolution,[],[f418,f1024]) ).

fof(f2459,plain,
    ( ~ c1_1(a1089)
    | c0_1(a1089)
    | ~ spl0_19
    | ~ spl0_124 ),
    inference(resolution,[],[f418,f929]) ).

fof(f2569,plain,
    ( c0_1(a1120)
    | ~ c2_1(a1120)
    | ~ spl0_21
    | spl0_103 ),
    inference(resolution,[],[f426,f825]) ).

fof(f2574,plain,
    ( c0_1(a1084)
    | ~ c2_1(a1084)
    | ~ spl0_21
    | spl0_74 ),
    inference(resolution,[],[f426,f680]) ).

fof(f2587,plain,
    ( ~ c2_1(a1120)
    | ~ c0_1(a1120)
    | ~ spl0_25
    | spl0_103 ),
    inference(resolution,[],[f442,f825]) ).

fof(f2611,plain,
    ( ~ c1_1(a1095)
    | ~ c0_1(a1095)
    | ~ spl0_27
    | ~ spl0_128 ),
    inference(resolution,[],[f450,f949]) ).

fof(f2629,plain,
    ( ~ c1_1(a1084)
    | c2_1(a1084)
    | ~ spl0_33
    | spl0_74 ),
    inference(resolution,[],[f475,f680]) ).

fof(f2631,plain,
    ( ~ c1_1(a1125)
    | c2_1(a1125)
    | ~ spl0_33
    | spl0_107 ),
    inference(resolution,[],[f475,f845]) ).

fof(f2637,plain,
    ( spl0_108
    | ~ spl0_109
    | ~ spl0_33
    | spl0_107 ),
    inference(avatar_split_clause,[],[f2631,f843,f474,f853,f848]) ).

fof(f2639,plain,
    ( spl0_166
    | ~ spl0_75
    | ~ spl0_33
    | spl0_74 ),
    inference(avatar_split_clause,[],[f2629,f678,f474,f683,f1228]) ).

fof(f2654,plain,
    ( c1_1(a1101)
    | ~ c2_1(a1101)
    | ~ spl0_34
    | ~ spl0_153 ),
    inference(resolution,[],[f478,f1074]) ).

fof(f2677,plain,
    ( c1_1(a1120)
    | ~ c0_1(a1120)
    | ~ spl0_37
    | spl0_103 ),
    inference(resolution,[],[f491,f825]) ).

fof(f2722,plain,
    ( c1_1(a1080)
    | ~ c0_1(a1080)
    | ~ spl0_38
    | spl0_65 ),
    inference(resolution,[],[f495,f635]) ).

fof(f2730,plain,
    ( ~ spl0_66
    | spl0_114
    | ~ spl0_38
    | spl0_65 ),
    inference(avatar_split_clause,[],[f2722,f633,f494,f877,f638]) ).

fof(f2760,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_21
    | ~ spl0_39 ),
    inference(resolution,[],[f498,f426]) ).

fof(f2765,plain,
    ( ~ c1_1(a1092)
    | c0_1(a1092)
    | ~ spl0_39
    | ~ spl0_150 ),
    inference(resolution,[],[f498,f1059]) ).

fof(f2768,plain,
    ( ~ c1_1(a1103)
    | c0_1(a1103)
    | ~ spl0_39
    | ~ spl0_134 ),
    inference(resolution,[],[f498,f979]) ).

fof(f2772,plain,
    ( ~ c1_1(a1095)
    | c0_1(a1095)
    | ~ spl0_39
    | ~ spl0_128 ),
    inference(resolution,[],[f498,f949]) ).

fof(f2778,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_21
    | ~ spl0_39 ),
    inference(duplicate_literal_removal,[],[f2760]) ).

fof(f2788,plain,
    ( spl0_152
    | ~ spl0_185
    | ~ spl0_39
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2765,f1057,f497,f1390,f1067]) ).

fof(f2835,plain,
    ( c0_1(a1092)
    | c1_1(a1092)
    | ~ spl0_4
    | ~ spl0_151 ),
    inference(resolution,[],[f1064,f364]) ).

fof(f2875,plain,
    ( c1_1(a1120)
    | ~ c2_1(a1120)
    | ~ spl0_22
    | spl0_103 ),
    inference(resolution,[],[f429,f825]) ).

fof(f2900,plain,
    ( c2_1(a1103)
    | c0_1(a1103)
    | ~ spl0_49
    | ~ spl0_134 ),
    inference(resolution,[],[f548,f979]) ).

fof(f2904,plain,
    ( c2_1(a1097)
    | c0_1(a1097)
    | ~ spl0_49
    | ~ spl0_129 ),
    inference(resolution,[],[f548,f954]) ).

fof(f2906,plain,
    ( c2_1(a1088)
    | c0_1(a1088)
    | ~ spl0_49
    | ~ spl0_121 ),
    inference(resolution,[],[f548,f914]) ).

fof(f2954,plain,
    ( ~ c0_1(a1101)
    | ~ c2_1(a1101)
    | ~ spl0_52
    | ~ spl0_153 ),
    inference(resolution,[],[f565,f1074]) ).

fof(f2982,plain,
    ( ~ c0_1(a1102)
    | c1_1(a1102)
    | ~ spl0_53
    | ~ spl0_133 ),
    inference(resolution,[],[f569,f974]) ).

fof(f2985,plain,
    ( ~ c0_1(a1097)
    | c1_1(a1097)
    | ~ spl0_53
    | ~ spl0_129 ),
    inference(resolution,[],[f569,f954]) ).

fof(f2997,plain,
    ( spl0_73
    | spl0_116
    | ~ spl0_11
    | spl0_72 ),
    inference(avatar_split_clause,[],[f1752,f668,f387,f887,f673]) ).

fof(f3021,plain,
    ( ~ spl0_91
    | ~ spl0_169
    | ~ spl0_5
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1504,f758,f367,f1244,f763]) ).

fof(f3027,plain,
    ( ~ spl0_109
    | ~ spl0_163
    | ~ spl0_5
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1653,f848,f367,f1213,f853]) ).

fof(f3046,plain,
    ( spl0_135
    | spl0_173
    | ~ spl0_49
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2900,f977,f547,f1265,f982]) ).

fof(f3047,plain,
    ( spl0_122
    | spl0_82
    | ~ spl0_49
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f2906,f912,f547,f718,f917]) ).

fof(f3057,plain,
    ( ~ spl0_154
    | ~ spl0_176
    | ~ spl0_52
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f2954,f1072,f564,f1284,f1077]) ).

fof(f3063,plain,
    ( spl0_140
    | ~ spl0_174
    | ~ spl0_2
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2098,f1002,f356,f1270,f1007]) ).

fof(f3073,plain,
    ( ~ spl0_178
    | ~ spl0_71
    | ~ spl0_5
    | spl0_70 ),
    inference(avatar_split_clause,[],[f1511,f658,f367,f663,f1338]) ).

fof(f3078,plain,
    ( ~ spl0_167
    | ~ spl0_83
    | ~ spl0_27
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1962,f922,f449,f723,f1233]) ).

fof(f3081,plain,
    ( ~ spl0_169
    | ~ spl0_91
    | ~ spl0_27
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2611,f947,f449,f763,f1244]) ).

fof(f3086,plain,
    ( ~ spl0_154
    | spl0_155
    | ~ spl0_34
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f2654,f1072,f477,f1082,f1077]) ).

fof(f3092,plain,
    ( ~ c0_1(a1146)
    | ~ c2_1(a1146)
    | ~ spl0_52
    | ~ spl0_147 ),
    inference(resolution,[],[f1044,f565]) ).

fof(f3093,plain,
    ( ~ spl0_148
    | ~ spl0_110
    | ~ spl0_52
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f3092,f1042,f564,f858,f1047]) ).

fof(f3096,plain,
    ( spl0_155
    | spl0_176
    | ~ spl0_6
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f2195,f1072,f370,f1284,f1082]) ).

fof(f3097,plain,
    ( spl0_185
    | spl0_152
    | ~ spl0_6
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2196,f1057,f370,f1067,f1390]) ).

fof(f3100,plain,
    ( spl0_181
    | spl0_97
    | ~ spl0_12
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2247,f972,f390,f793,f1365]) ).

fof(f3108,plain,
    ( ~ spl0_151
    | ~ spl0_185
    | ~ spl0_16
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2443,f1057,f404,f1390,f1062]) ).

fof(f3111,plain,
    ( spl0_120
    | ~ spl0_78
    | ~ spl0_19
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1624,f902,f417,f698,f907]) ).

fof(f3112,plain,
    ( spl0_152
    | ~ spl0_185
    | ~ spl0_19
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1772,f1062,f417,f1390,f1067]) ).

fof(f3113,plain,
    ( spl0_144
    | ~ spl0_182
    | ~ spl0_19
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2456,f1022,f417,f1374,f1027]) ).

fof(f3115,plain,
    ( spl0_167
    | ~ spl0_83
    | ~ spl0_19
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2459,f927,f417,f723,f1233]) ).

fof(f3123,plain,
    ( spl0_160
    | spl0_161
    | ~ spl0_4
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1912,f1102,f363,f1112,f1107]) ).

fof(f3124,plain,
    ( spl0_182
    | spl0_144
    | ~ spl0_4
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2028,f1022,f363,f1027,f1374]) ).

fof(f3157,plain,
    ( spl0_108
    | ~ spl0_163
    | ~ spl0_15
    | spl0_107 ),
    inference(avatar_split_clause,[],[f2278,f843,f401,f1213,f848]) ).

fof(f3167,plain,
    ( spl0_135
    | ~ spl0_99
    | ~ spl0_39
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2768,f977,f497,f803,f982]) ).

fof(f3168,plain,
    ( spl0_169
    | ~ spl0_91
    | ~ spl0_39
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2772,f947,f497,f763,f1244]) ).

fof(f3170,plain,
    ( spl0_181
    | ~ spl0_98
    | ~ spl0_53
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2982,f972,f568,f798,f1365]) ).

fof(f3172,plain,
    ( spl0_130
    | ~ spl0_170
    | ~ spl0_53
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2985,f952,f568,f1249,f957]) ).

fof(f3179,plain,
    ( spl0_170
    | spl0_92
    | ~ spl0_49
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2904,f952,f547,f768,f1249]) ).

fof(f3228,plain,
    ( c0_1(a1092)
    | ~ c2_1(a1092)
    | ~ spl0_7
    | ~ spl0_150 ),
    inference(resolution,[],[f374,f1059]) ).

fof(f3232,plain,
    ( c0_1(a1103)
    | ~ c2_1(a1103)
    | ~ spl0_7
    | ~ spl0_134 ),
    inference(resolution,[],[f374,f979]) ).

fof(f3364,plain,
    ( c2_1(a1109)
    | c0_1(a1109)
    | ~ spl0_49
    | ~ spl0_156 ),
    inference(resolution,[],[f548,f1089]) ).

fof(f3384,plain,
    ( spl0_158
    | spl0_177
    | ~ spl0_49
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f3364,f1087,f547,f1289,f1097]) ).

fof(f3386,plain,
    ( ~ spl0_181
    | ~ spl0_98
    | ~ spl0_5
    | spl0_97 ),
    inference(avatar_split_clause,[],[f1166,f793,f367,f798,f1365]) ).

fof(f3389,plain,
    ( ~ spl0_85
    | ~ spl0_86
    | ~ spl0_5
    | spl0_162 ),
    inference(avatar_split_clause,[],[f1295,f1208,f367,f738,f733]) ).

fof(f3393,plain,
    ( ~ spl0_80
    | ~ spl0_81
    | ~ spl0_5
    | spl0_79 ),
    inference(avatar_split_clause,[],[f1693,f703,f367,f713,f708]) ).

fof(f3398,plain,
    ( spl0_19
    | ~ spl0_21
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f2778,f497,f425,f417]) ).

fof(f3399,plain,
    ( ~ spl0_139
    | spl0_174
    | ~ spl0_21
    | spl0_103 ),
    inference(avatar_split_clause,[],[f2569,f823,f425,f1270,f1002]) ).

fof(f3400,plain,
    ( ~ spl0_166
    | spl0_117
    | ~ spl0_21
    | spl0_74 ),
    inference(avatar_split_clause,[],[f2574,f678,f425,f892,f1228]) ).

fof(f3402,plain,
    ( ~ spl0_67
    | spl0_164
    | ~ spl0_31
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f2011,f882,f466,f1218,f643]) ).

fof(f3404,plain,
    ( ~ spl0_99
    | spl0_173
    | ~ spl0_31
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2003,f977,f466,f1265,f803]) ).

fof(f3405,plain,
    ( ~ spl0_181
    | spl0_97
    | ~ spl0_31
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2004,f972,f466,f793,f1365]) ).

fof(f3407,plain,
    ( ~ spl0_179
    | spl0_82
    | ~ spl0_31
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f2010,f912,f466,f718,f1349]) ).

fof(f3409,plain,
    ( ~ spl0_174
    | ~ spl0_139
    | ~ spl0_25
    | spl0_103 ),
    inference(avatar_split_clause,[],[f2587,f823,f441,f1002,f1270]) ).

fof(f3410,plain,
    ( spl0_185
    | spl0_152
    | ~ spl0_4
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2835,f1062,f363,f1067,f1390]) ).

fof(f3413,plain,
    ( spl0_157
    | spl0_158
    | ~ spl0_4
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1913,f1289,f363,f1097,f1092]) ).

fof(f3428,plain,
    ( ~ spl0_124
    | spl0_167
    | ~ spl0_7
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1738,f922,f373,f1233,f927]) ).

fof(f3441,plain,
    ( ~ spl0_151
    | spl0_152
    | ~ spl0_7
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f3228,f1057,f373,f1067,f1062]) ).

fof(f3442,plain,
    ( ~ spl0_173
    | spl0_135
    | ~ spl0_7
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f3232,f977,f373,f982,f1265]) ).

fof(f3449,plain,
    ( spl0_166
    | spl0_117
    | ~ spl0_8
    | spl0_74 ),
    inference(avatar_split_clause,[],[f2433,f678,f377,f892,f1228]) ).

fof(f3450,plain,
    ( spl0_108
    | spl0_163
    | ~ spl0_8
    | spl0_107 ),
    inference(avatar_split_clause,[],[f2435,f843,f377,f1213,f848]) ).

fof(f3451,plain,
    ( ~ spl0_139
    | spl0_140
    | ~ spl0_22
    | spl0_103 ),
    inference(avatar_split_clause,[],[f2875,f823,f428,f1007,f1002]) ).

fof(f3452,plain,
    ( ~ spl0_174
    | spl0_140
    | ~ spl0_37
    | spl0_103 ),
    inference(avatar_split_clause,[],[f2677,f823,f490,f1007,f1270]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f365]) ).

cnf(s2,plain,
    ( spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f375]) ).

cnf(s3,plain,
    ( spl0_1
    | spl0_3
    | spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f382]) ).

cnf(s4,plain,
    ( spl0_3
    | spl0_10
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f392]) ).

cnf(s5,plain,
    ( spl0_3
    | spl0_5
    | spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f399]) ).

cnf(s6,plain,
    ( spl0_3
    | spl0_5
    | spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f406]) ).

cnf(s7,plain,
    ( spl0_3
    | spl0_7
    | spl0_12
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f411]) ).

cnf(s8,plain,
    ( spl0_3
    | spl0_4
    | ~ spl0_18
    | spl0_19 ),
    inference(sat_conversion,[],[f419]) ).

cnf(s9,plain,
    ( spl0_3
    | ~ spl0_20
    | spl0_21
    | spl0_22 ),
    inference(sat_conversion,[],[f430]) ).

cnf(s11,plain,
    ( spl0_3
    | spl0_6
    | ~ spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f443]) ).

cnf(s12,plain,
    ( spl0_3
    | spl0_7
    | ~ spl0_26
    | spl0_27 ),
    inference(sat_conversion,[],[f451]) ).

cnf(s13,plain,
    ( spl0_3
    | spl0_4
    | spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f456]) ).

cnf(s18,plain,
    ( spl0_3
    | spl0_16
    | ~ spl0_36
    | spl0_37 ),
    inference(sat_conversion,[],[f492]) ).

cnf(s19,plain,
    ( spl0_3
    | spl0_23
    | spl0_38
    | spl0_39 ),
    inference(sat_conversion,[],[f499]) ).

cnf(s21,plain,
    ( spl0_3
    | spl0_11
    | spl0_31
    | spl0_40 ),
    inference(sat_conversion,[],[f505]) ).

cnf(s22,plain,
    ( spl0_3
    | spl0_14
    | spl0_33
    | spl0_35 ),
    inference(sat_conversion,[],[f506]) ).

cnf(s23,plain,
    ( spl0_1
    | spl0_3
    | spl0_37
    | spl0_41 ),
    inference(sat_conversion,[],[f511]) ).

cnf(s24,plain,
    ( spl0_1
    | spl0_3
    | spl0_38
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f516]) ).

cnf(s27,plain,
    ( spl0_3
    | ~ spl0_20
    | spl0_34
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f527]) ).

cnf(s29,plain,
    ( spl0_3
    | spl0_4
    | spl0_23
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f541]) ).

cnf(s30,plain,
    ( spl0_3
    | spl0_35
    | ~ spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f549]) ).

cnf(s31,plain,
    ( spl0_3
    | spl0_9
    | spl0_30
    | spl0_41 ),
    inference(sat_conversion,[],[f550]) ).

cnf(s35,plain,
    ( spl0_3
    | spl0_19
    | spl0_43
    | ~ spl0_45 ),
    inference(sat_conversion,[],[f562]) ).

cnf(s37,plain,
    ( spl0_3
    | spl0_35
    | ~ spl0_45
    | spl0_53 ),
    inference(sat_conversion,[],[f570]) ).

cnf(s38,plain,
    ( spl0_3
    | spl0_50
    | spl0_53
    | spl0_54 ),
    inference(sat_conversion,[],[f575]) ).

cnf(s41,plain,
    ( spl0_3
    | spl0_16
    | spl0_57 ),
    inference(sat_conversion,[],[f590]) ).

cnf(s42,plain,
    ( spl0_3
    | spl0_19
    | spl0_51 ),
    inference(sat_conversion,[],[f591]) ).

cnf(s46,plain,
    ( spl0_3
    | spl0_46
    | spl0_52 ),
    inference(sat_conversion,[],[f601]) ).

cnf(s50,plain,
    ( spl0_3
    | spl0_27
    | spl0_30
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s51,plain,
    ( spl0_1
    | spl0_3
    | spl0_35
    | spl0_61 ),
    inference(sat_conversion,[],[f614]) ).

cnf(s52,plain,
    ( spl0_1
    | spl0_3
    | ~ spl0_62
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s53,plain,
    ( spl0_3
    | spl0_33
    | spl0_61
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f624]) ).

cnf(s54,plain,
    ( spl0_3
    | spl0_25
    | spl0_54 ),
    inference(sat_conversion,[],[f625]) ).

cnf(s57,plain,
    ( ~ spl0_43
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f636]) ).

cnf(s58,plain,
    ( ~ spl0_43
    | spl0_66 ),
    inference(sat_conversion,[],[f641]) ).

cnf(s59,plain,
    ( ~ spl0_30
    | spl0_67 ),
    inference(sat_conversion,[],[f646]) ).

cnf(s60,plain,
    ( ~ spl0_30
    | spl0_68 ),
    inference(sat_conversion,[],[f651]) ).

cnf(s61,plain,
    ( spl0_45
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f656]) ).

cnf(s62,plain,
    ( spl0_45
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f661]) ).

cnf(s63,plain,
    ( spl0_45
    | spl0_71 ),
    inference(sat_conversion,[],[f666]) ).

cnf(s64,plain,
    ( spl0_42
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s65,plain,
    ( spl0_42
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f676]) ).

cnf(s66,plain,
    ( ~ spl0_41
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f681]) ).

cnf(s67,plain,
    ( ~ spl0_41
    | spl0_75 ),
    inference(sat_conversion,[],[f686]) ).

cnf(s68,plain,
    ( ~ spl0_23
    | spl0_76 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s69,plain,
    ( ~ spl0_23
    | spl0_77 ),
    inference(sat_conversion,[],[f696]) ).

cnf(s70,plain,
    ( spl0_63
    | spl0_78 ),
    inference(sat_conversion,[],[f701]) ).

cnf(s71,plain,
    ( spl0_62
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f706]) ).

cnf(s72,plain,
    ( spl0_62
    | spl0_80 ),
    inference(sat_conversion,[],[f711]) ).

cnf(s73,plain,
    ( spl0_62
    | spl0_81 ),
    inference(sat_conversion,[],[f716]) ).

cnf(s74,plain,
    ( ~ spl0_61
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f721]) ).

cnf(s75,plain,
    ( ~ spl0_35
    | spl0_83 ),
    inference(sat_conversion,[],[f726]) ).

cnf(s76,plain,
    ( ~ spl0_28
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f731]) ).

cnf(s77,plain,
    ( ~ spl0_28
    | spl0_85 ),
    inference(sat_conversion,[],[f736]) ).

cnf(s78,plain,
    ( ~ spl0_28
    | spl0_86 ),
    inference(sat_conversion,[],[f741]) ).

cnf(s79,plain,
    ( spl0_26
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f746]) ).

cnf(s80,plain,
    ( spl0_26
    | spl0_88 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s82,plain,
    ( spl0_47
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s83,plain,
    ( spl0_47
    | spl0_91 ),
    inference(sat_conversion,[],[f766]) ).

cnf(s84,plain,
    ( ~ spl0_51
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f771]) ).

cnf(s89,plain,
    ( spl0_24
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f796]) ).

cnf(s90,plain,
    ( spl0_24
    | spl0_98 ),
    inference(sat_conversion,[],[f801]) ).

cnf(s91,plain,
    ( ~ spl0_54
    | spl0_99 ),
    inference(sat_conversion,[],[f806]) ).

cnf(s92,plain,
    ( ~ spl0_46
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f811]) ).

cnf(s95,plain,
    ( ~ spl0_57
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f826]) ).

cnf(s99,plain,
    ( spl0_18
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f846]) ).

cnf(s100,plain,
    ( spl0_18
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f851]) ).

cnf(s101,plain,
    ( spl0_18
    | spl0_109 ),
    inference(sat_conversion,[],[f856]) ).

cnf(s102,plain,
    ( spl0_17
    | spl0_110 ),
    inference(sat_conversion,[],[f861]) ).

cnf(s105,plain,
    ( ~ spl0_43
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f880]) ).

cnf(s106,plain,
    ( ~ spl0_30
    | spl0_115 ),
    inference(sat_conversion,[],[f885]) ).

cnf(s107,plain,
    ( spl0_42
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f890]) ).

cnf(s108,plain,
    ( ~ spl0_41
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f895]) ).

cnf(s109,plain,
    ( ~ spl0_23
    | spl0_118 ),
    inference(sat_conversion,[],[f900]) ).

cnf(s110,plain,
    ( spl0_63
    | spl0_119 ),
    inference(sat_conversion,[],[f905]) ).

cnf(s111,plain,
    ( spl0_63
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f910]) ).

cnf(s112,plain,
    ( ~ spl0_61
    | spl0_121 ),
    inference(sat_conversion,[],[f915]) ).

cnf(s113,plain,
    ( ~ spl0_61
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f920]) ).

cnf(s114,plain,
    ( ~ spl0_35
    | spl0_123 ),
    inference(sat_conversion,[],[f925]) ).

cnf(s115,plain,
    ( ~ spl0_35
    | spl0_124 ),
    inference(sat_conversion,[],[f930]) ).

cnf(s116,plain,
    ( spl0_26
    | spl0_125 ),
    inference(sat_conversion,[],[f935]) ).

cnf(s119,plain,
    ( spl0_47
    | spl0_128 ),
    inference(sat_conversion,[],[f950]) ).

cnf(s120,plain,
    ( ~ spl0_51
    | spl0_129 ),
    inference(sat_conversion,[],[f955]) ).

cnf(s121,plain,
    ( ~ spl0_51
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f960]) ).

cnf(s124,plain,
    ( spl0_24
    | spl0_133 ),
    inference(sat_conversion,[],[f975]) ).

cnf(s125,plain,
    ( ~ spl0_54
    | spl0_134 ),
    inference(sat_conversion,[],[f980]) ).

cnf(s126,plain,
    ( ~ spl0_54
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f985]) ).

cnf(s127,plain,
    ( ~ spl0_46
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f990]) ).

cnf(s128,plain,
    ( ~ spl0_46
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f995]) ).

cnf(s130,plain,
    ( ~ spl0_57
    | spl0_139 ),
    inference(sat_conversion,[],[f1005]) ).

cnf(s131,plain,
    ( ~ spl0_57
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1010]) ).

cnf(s134,plain,
    ( ~ spl0_40
    | spl0_143 ),
    inference(sat_conversion,[],[f1025]) ).

cnf(s135,plain,
    ( ~ spl0_40
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1030]) ).

cnf(s138,plain,
    ( spl0_17
    | spl0_147 ),
    inference(sat_conversion,[],[f1045]) ).

cnf(s139,plain,
    ( spl0_17
    | spl0_148 ),
    inference(sat_conversion,[],[f1050]) ).

cnf(s141,plain,
    ( spl0_48
    | spl0_150 ),
    inference(sat_conversion,[],[f1060]) ).

cnf(s142,plain,
    ( spl0_48
    | spl0_151 ),
    inference(sat_conversion,[],[f1065]) ).

cnf(s143,plain,
    ( spl0_48
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1070]) ).

cnf(s144,plain,
    ( spl0_36
    | spl0_153 ),
    inference(sat_conversion,[],[f1075]) ).

cnf(s145,plain,
    ( spl0_36
    | spl0_154 ),
    inference(sat_conversion,[],[f1080]) ).

cnf(s146,plain,
    ( spl0_36
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1085]) ).

cnf(s147,plain,
    ( ~ spl0_50
    | spl0_156 ),
    inference(sat_conversion,[],[f1090]) ).

cnf(s148,plain,
    ( ~ spl0_50
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1095]) ).

cnf(s149,plain,
    ( ~ spl0_50
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1100]) ).

cnf(s150,plain,
    ( spl0_20
    | spl0_159 ),
    inference(sat_conversion,[],[f1105]) ).

cnf(s151,plain,
    ( spl0_20
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1110]) ).

cnf(s152,plain,
    ( spl0_20
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1115]) ).

cnf(s153,plain,
    ( ~ spl0_32
    | ~ spl0_47
    | spl0_111 ),
    inference(sat_conversion,[],[f1116]) ).

cnf(s154,plain,
    ( ~ spl0_48
    | spl0_54
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f1117]) ).

cnf(s169,plain,
    ( ~ spl0_3
    | spl0_47 ),
    inference(sat_conversion,[],[f1132]) ).

cnf(s176,plain,
    ( ~ spl0_3
    | spl0_32 ),
    inference(sat_conversion,[],[f1139]) ).

cnf(s183,plain,
    ( ~ spl0_3
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f1146]) ).

cnf(s188,plain,
    ( spl0_23
    | spl0_43 ),
    inference(sat_conversion,[],[f1151]) ).

cnf(s224,plain,
    ( ~ spl0_9
    | spl0_92
    | spl0_130
    | spl0_170 ),
    inference(sat_conversion,[],[f1361]) ).

cnf(s229,plain,
    ( ~ spl0_9
    | spl0_100
    | spl0_136
    | spl0_137 ),
    inference(sat_conversion,[],[f1370]) ).

cnf(s250,plain,
    ( spl0_4
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(sat_conversion,[],[f1450]) ).

cnf(s271,plain,
    ( ~ spl0_6
    | ~ spl0_121
    | spl0_122
    | spl0_179 ),
    inference(sat_conversion,[],[f1535]) ).

cnf(s279,plain,
    ( ~ spl0_16
    | ~ spl0_83
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1608]) ).

cnf(s280,plain,
    ( spl0_1
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f1609]) ).

cnf(s297,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | spl0_136
    | spl0_137 ),
    inference(sat_conversion,[],[f1677]) ).

cnf(s298,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | spl0_155
    | spl0_176 ),
    inference(sat_conversion,[],[f1678]) ).

cnf(s308,plain,
    ( ~ spl0_1
    | ~ spl0_76
    | ~ spl0_77
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f1688]) ).

cnf(s309,plain,
    ( ~ spl0_1
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1689]) ).

cnf(s328,plain,
    ( ~ spl0_19
    | ~ spl0_75
    | spl0_117
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1808]) ).

cnf(s416,plain,
    ( spl0_1
    | ~ spl0_25
    | ~ spl0_27 ),
    inference(sat_conversion,[],[f2081]) ).

cnf(s418,plain,
    ( ~ spl0_25
    | spl0_84
    | ~ spl0_86
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2083]) ).

cnf(s419,plain,
    ( ~ spl0_10
    | spl0_84
    | ~ spl0_85
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f2126]) ).

cnf(s420,plain,
    ( ~ spl0_11
    | spl0_69
    | spl0_70
    | spl0_178 ),
    inference(sat_conversion,[],[f2127]) ).

cnf(s444,plain,
    ( ~ spl0_14
    | spl0_103
    | spl0_140
    | spl0_174 ),
    inference(sat_conversion,[],[f2221]) ).

cnf(s445,plain,
    ( ~ spl0_12
    | spl0_92
    | ~ spl0_129
    | spl0_130 ),
    inference(sat_conversion,[],[f2222]) ).

cnf(s450,plain,
    ( ~ spl0_13
    | spl0_92
    | ~ spl0_129
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f2227]) ).

cnf(s451,plain,
    ( ~ spl0_13
    | spl0_90
    | ~ spl0_128
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f2228]) ).

cnf(s467,plain,
    ( ~ spl0_13
    | ~ spl0_15
    | spl0_79
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f2306]) ).

cnf(s490,plain,
    ( ~ spl0_25
    | spl0_87
    | ~ spl0_88
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f2325]) ).

cnf(s526,plain,
    ( ~ spl0_16
    | ~ spl0_99
    | ~ spl0_134
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f2389]) ).

cnf(s567,plain,
    ( ~ spl0_33
    | spl0_107
    | spl0_108
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f2637]) ).

cnf(s569,plain,
    ( ~ spl0_33
    | spl0_74
    | ~ spl0_75
    | spl0_166 ),
    inference(sat_conversion,[],[f2639]) ).

cnf(s579,plain,
    ( ~ spl0_38
    | spl0_65
    | ~ spl0_66
    | spl0_114 ),
    inference(sat_conversion,[],[f2730]) ).

cnf(s598,plain,
    ( ~ spl0_39
    | ~ spl0_150
    | spl0_152
    | ~ spl0_185 ),
    inference(sat_conversion,[],[f2788]) ).

cnf(s624,plain,
    ( ~ spl0_11
    | spl0_72
    | spl0_73
    | spl0_116 ),
    inference(sat_conversion,[],[f2997]) ).

cnf(s648,plain,
    ( ~ spl0_5
    | spl0_90
    | ~ spl0_91
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f3021]) ).

cnf(s654,plain,
    ( ~ spl0_5
    | spl0_108
    | ~ spl0_109
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f3027]) ).

cnf(s675,plain,
    ( ~ spl0_49
    | ~ spl0_134
    | spl0_135
    | spl0_173 ),
    inference(sat_conversion,[],[f3046]) ).

cnf(s676,plain,
    ( ~ spl0_49
    | spl0_82
    | ~ spl0_121
    | spl0_122 ),
    inference(sat_conversion,[],[f3047]) ).

cnf(s686,plain,
    ( ~ spl0_52
    | ~ spl0_153
    | ~ spl0_154
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f3057]) ).

cnf(s692,plain,
    ( ~ spl0_2
    | ~ spl0_139
    | spl0_140
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f3063]) ).

cnf(s702,plain,
    ( ~ spl0_5
    | spl0_70
    | ~ spl0_71
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f3073]) ).

cnf(s707,plain,
    ( ~ spl0_27
    | ~ spl0_83
    | ~ spl0_123
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f3078]) ).

cnf(s710,plain,
    ( ~ spl0_27
    | ~ spl0_91
    | ~ spl0_128
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f3081]) ).

cnf(s715,plain,
    ( ~ spl0_34
    | ~ spl0_153
    | ~ spl0_154
    | spl0_155 ),
    inference(sat_conversion,[],[f3086]) ).

cnf(s716,plain,
    ( ~ spl0_52
    | ~ spl0_110
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f3093]) ).

cnf(s719,plain,
    ( ~ spl0_6
    | ~ spl0_153
    | spl0_155
    | spl0_176 ),
    inference(sat_conversion,[],[f3096]) ).

cnf(s720,plain,
    ( ~ spl0_6
    | ~ spl0_150
    | spl0_152
    | spl0_185 ),
    inference(sat_conversion,[],[f3097]) ).

cnf(s723,plain,
    ( ~ spl0_12
    | spl0_97
    | ~ spl0_133
    | spl0_181 ),
    inference(sat_conversion,[],[f3100]) ).

cnf(s731,plain,
    ( ~ spl0_16
    | ~ spl0_150
    | ~ spl0_151
    | ~ spl0_185 ),
    inference(sat_conversion,[],[f3108]) ).

cnf(s734,plain,
    ( ~ spl0_19
    | ~ spl0_78
    | ~ spl0_119
    | spl0_120 ),
    inference(sat_conversion,[],[f3111]) ).

cnf(s735,plain,
    ( ~ spl0_19
    | ~ spl0_151
    | spl0_152
    | ~ spl0_185 ),
    inference(sat_conversion,[],[f3112]) ).

cnf(s736,plain,
    ( ~ spl0_19
    | ~ spl0_143
    | spl0_144
    | ~ spl0_182 ),
    inference(sat_conversion,[],[f3113]) ).

cnf(s738,plain,
    ( ~ spl0_19
    | ~ spl0_83
    | ~ spl0_124
    | spl0_167 ),
    inference(sat_conversion,[],[f3115]) ).

cnf(s745,plain,
    ( ~ spl0_4
    | ~ spl0_159
    | spl0_160
    | spl0_161 ),
    inference(sat_conversion,[],[f3123]) ).

cnf(s746,plain,
    ( ~ spl0_4
    | ~ spl0_143
    | spl0_144
    | spl0_182 ),
    inference(sat_conversion,[],[f3124]) ).

cnf(s781,plain,
    ( ~ spl0_15
    | spl0_107
    | spl0_108
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f3157]) ).

cnf(s791,plain,
    ( ~ spl0_39
    | ~ spl0_99
    | ~ spl0_134
    | spl0_135 ),
    inference(sat_conversion,[],[f3167]) ).

cnf(s792,plain,
    ( ~ spl0_39
    | ~ spl0_91
    | ~ spl0_128
    | spl0_169 ),
    inference(sat_conversion,[],[f3168]) ).

cnf(s794,plain,
    ( ~ spl0_53
    | ~ spl0_98
    | ~ spl0_133
    | spl0_181 ),
    inference(sat_conversion,[],[f3170]) ).

cnf(s796,plain,
    ( ~ spl0_53
    | ~ spl0_129
    | spl0_130
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f3172]) ).

cnf(s803,plain,
    ( ~ spl0_49
    | spl0_92
    | ~ spl0_129
    | spl0_170 ),
    inference(sat_conversion,[],[f3179]) ).

cnf(s809,plain,
    ( ~ spl0_49
    | ~ spl0_156
    | spl0_158
    | spl0_177 ),
    inference(sat_conversion,[],[f3384]) ).

cnf(s811,plain,
    ( ~ spl0_5
    | spl0_97
    | ~ spl0_98
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f3386]) ).

cnf(s814,plain,
    ( ~ spl0_5
    | ~ spl0_85
    | ~ spl0_86
    | spl0_162 ),
    inference(sat_conversion,[],[f3389]) ).

cnf(s818,plain,
    ( ~ spl0_5
    | spl0_79
    | ~ spl0_80
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f3393]) ).

cnf(s823,plain,
    ( spl0_19
    | ~ spl0_21
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f3398]) ).

cnf(s824,plain,
    ( ~ spl0_21
    | spl0_103
    | ~ spl0_139
    | spl0_174 ),
    inference(sat_conversion,[],[f3399]) ).

cnf(s825,plain,
    ( ~ spl0_21
    | spl0_74
    | spl0_117
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f3400]) ).

cnf(s827,plain,
    ( ~ spl0_31
    | ~ spl0_67
    | ~ spl0_115
    | spl0_164 ),
    inference(sat_conversion,[],[f3402]) ).

cnf(s829,plain,
    ( ~ spl0_31
    | ~ spl0_99
    | ~ spl0_134
    | spl0_173 ),
    inference(sat_conversion,[],[f3404]) ).

cnf(s830,plain,
    ( ~ spl0_31
    | spl0_97
    | ~ spl0_133
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f3405]) ).

cnf(s832,plain,
    ( ~ spl0_31
    | spl0_82
    | ~ spl0_121
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f3407]) ).

cnf(s834,plain,
    ( ~ spl0_25
    | spl0_103
    | ~ spl0_139
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f3409]) ).

cnf(s835,plain,
    ( ~ spl0_4
    | ~ spl0_151
    | spl0_152
    | spl0_185 ),
    inference(sat_conversion,[],[f3410]) ).

cnf(s838,plain,
    ( ~ spl0_4
    | spl0_157
    | spl0_158
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f3413]) ).

cnf(s853,plain,
    ( ~ spl0_7
    | ~ spl0_123
    | ~ spl0_124
    | spl0_167 ),
    inference(sat_conversion,[],[f3428]) ).

cnf(s866,plain,
    ( ~ spl0_7
    | ~ spl0_150
    | ~ spl0_151
    | spl0_152 ),
    inference(sat_conversion,[],[f3441]) ).

cnf(s867,plain,
    ( ~ spl0_7
    | ~ spl0_134
    | spl0_135
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f3442]) ).

cnf(s874,plain,
    ( ~ spl0_8
    | spl0_74
    | spl0_117
    | spl0_166 ),
    inference(sat_conversion,[],[f3449]) ).

cnf(s875,plain,
    ( ~ spl0_8
    | spl0_107
    | spl0_108
    | spl0_163 ),
    inference(sat_conversion,[],[f3450]) ).

cnf(s876,plain,
    ( ~ spl0_22
    | spl0_103
    | ~ spl0_139
    | spl0_140 ),
    inference(sat_conversion,[],[f3451]) ).

cnf(s877,plain,
    ( ~ spl0_37
    | spl0_103
    | spl0_140
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f3452]) ).

cnf(s880,plain,
    ( ~ spl0_46
    | ~ spl0_9
    | ~ spl0_4 ),
    inference(rat,[],[s297,s127,s128]) ).

cnf(s881,plain,
    ( ~ spl0_51
    | ~ spl0_12 ),
    inference(rat,[],[s445,s84,s120,s121]) ).

cnf(s885,plain,
    ( spl0_24
    | ~ spl0_31
    | ~ spl0_12 ),
    inference(rat,[],[s830,s723,s89,s124]) ).

cnf(s887,plain,
    ( spl0_42
    | ~ spl0_11 ),
    inference(rat,[],[s624,s64,s65,s107]) ).

cnf(s888,plain,
    ( ~ spl0_43
    | ~ spl0_38 ),
    inference(rat,[],[s579,s57,s58,s105]) ).

cnf(s891,plain,
    ( spl0_20
    | ~ spl0_4 ),
    inference(rat,[],[s745,s150,s151,s152]) ).

cnf(s895,plain,
    ( ~ spl0_40
    | ~ spl0_19
    | ~ spl0_4 ),
    inference(rat,[],[s736,s746,s134,s135]) ).

cnf(s900,plain,
    ( spl0_36
    | ~ spl0_34 ),
    inference(rat,[],[s715,s144,s145,s146]) ).

cnf(s904,plain,
    ( spl0_48
    | ~ spl0_7 ),
    inference(rat,[],[s866,s141,s142,s143]) ).

cnf(s905,plain,
    ( ~ spl0_48
    | spl0_30
    | spl0_49
    | ~ spl0_19
    | spl0_3 ),
    inference(rat,[],[s738,s707,s75,s114,s115,s50,s30]) ).

cnf(s909,plain,
    ( ~ spl0_35
    | ~ spl0_16 ),
    inference(rat,[],[s279,s75,s114,s115]) ).

cnf(s910,plain,
    ( spl0_48
    | ~ spl0_19
    | ~ spl0_4 ),
    inference(rat,[],[s735,s835,s142,s143]) ).

cnf(s911,plain,
    ( spl0_35
    | ~ spl0_48
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s676,s74,s112,s113,s30,s51]) ).

cnf(s913,plain,
    ( ~ spl0_16
    | ~ spl0_4
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s731,s835,s141,s142,s143,s911,s909]) ).

cnf(s914,plain,
    ( spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s686,s46,s298,s880,s3,s874,s825,s144,s145,s146,s66,s108,s18,s23,s877,s824,s9,s876,s95,s130,s131,s41,s913,s891,s1]) ).

cnf(s915,plain,
    ~ spl0_3,
    inference(rat,[],[s153,s169,s176,s183]) ).

cnf(s916,plain,
    ( ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s824,s9,s692,s876,s95,s130,s131,s41,s913,s891,s914,s915]) ).

cnf(s917,plain,
    ( ~ spl0_25
    | ~ spl0_5
    | spl0_1 ),
    inference(rat,[],[s418,s814,s76,s77,s78,s13,s416,s916,s915]) ).

cnf(s918,plain,
    ( ~ spl0_16
    | spl0_1 ),
    inference(rat,[],[s420,s702,s61,s62,s63,s4,s37,s723,s794,s811,s89,s90,s124,s11,s917,s2,s720,s731,s904,s141,s142,s143,s911,s909,s280,s915]) ).

cnf(s920,plain,
    ( spl0_63
    | ~ spl0_19 ),
    inference(rat,[],[s734,s70,s110,s111]) ).

cnf(s921,plain,
    ( spl0_62
    | spl0_1 ),
    inference(rat,[],[s467,s5,s6,s818,s71,s72,s73,s444,s692,s130,s914,s95,s131,s41,s918,s915]) ).

cnf(s922,plain,
    ( ~ spl0_46
    | ~ spl0_9 ),
    inference(rat,[],[s229,s92,s127,s128]) ).

cnf(s923,plain,
    ( spl0_17
    | ~ spl0_52 ),
    inference(rat,[],[s716,s102,s138,s139]) ).

cnf(s924,plain,
    ( ~ spl0_5
    | spl0_1 ),
    inference(rat,[],[s420,s702,s61,s62,s63,s35,s888,s24,s887,s4,s419,s76,s77,s78,s13,s707,s853,s7,s923,s46,s922,s3,s875,s654,s881,s42,s115,s114,s75,s22,s567,s99,s100,s101,s8,s920,s52,s921,s916,s444,s692,s130,s914,s95,s131,s41,s918,s915]) ).

cnf(s925,plain,
    spl0_1,
    inference(rat,[],[s3,s224,s875,s450,s781,s5,s6,s924,s99,s100,s84,s120,s121,s8,s42,s920,s52,s921,s444,s692,s95,s130,s131,s41,s918,s916,s914,s915]) ).

cnf(s926,plain,
    ( ~ spl0_16
    | ~ spl0_99
    | ~ spl0_134
    | spl0_135
    | ~ spl0_48 ),
    inference(rat,[],[s675,s30,s526,s909,s915]) ).

cnf(s927,plain,
    ( ~ spl0_61
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(rat,[],[s832,s271,s74,s112,s113]) ).

cnf(s928,plain,
    ( ~ spl0_30
    | ~ spl0_31 ),
    inference(rat,[],[s827,s309,s59,s60,s106,s925]) ).

cnf(s929,plain,
    ( ~ spl0_6
    | ~ spl0_19
    | ~ spl0_4 ),
    inference(rat,[],[s569,s328,s66,s67,s108,s31,s53,s927,s880,s46,s686,s719,s146,s145,s144,s928,s21,s887,s27,s900,s18,s877,s824,s9,s876,s130,s131,s95,s41,s926,s91,s125,s126,s154,s920,s910,s891,s895,s915]) ).

cnf(s930,plain,
    ( ~ spl0_19
    | ~ spl0_4 ),
    inference(rat,[],[s676,s74,s112,s113,s53,s569,s328,s66,s67,s108,s31,s880,s46,s923,s7,s885,s11,s929,s905,s928,s867,s829,s21,s887,s27,s900,s18,s877,s834,s824,s9,s876,s95,s130,s131,s41,s926,s91,s125,s126,s154,s920,s910,s895,s891,s915]) ).

cnf(s931,plain,
    ( spl0_48
    | ~ spl0_16
    | ~ spl0_4 ),
    inference(rat,[],[s731,s835,s141,s142,s143]) ).

cnf(s933,plain,
    ( ~ spl0_54
    | ~ spl0_48
    | ~ spl0_16 ),
    inference(rat,[],[s926,s91,s125,s126]) ).

cnf(s934,plain,
    ( ~ spl0_16
    | spl0_53
    | ~ spl0_4 ),
    inference(rat,[],[s809,s838,s147,s148,s149,s38,s933,s30,s931,s909,s915]) ).

cnf(s935,plain,
    ~ spl0_23,
    inference(rat,[],[s308,s68,s69,s109,s925]) ).

cnf(s936,plain,
    spl0_43,
    inference(rat,[],[s188,s935]) ).

cnf(s940,plain,
    ~ spl0_38,
    inference(rat,[],[s888,s936]) ).

cnf(s941,plain,
    spl0_39,
    inference(rat,[],[s19,s935,s915,s940]) ).

cnf(s942,plain,
    ( spl0_48
    | ~ spl0_4 ),
    inference(rat,[],[s598,s835,s141,s142,s143,s941]) ).

cnf(s943,plain,
    ( ~ spl0_16
    | ~ spl0_4 ),
    inference(rat,[],[s803,s796,s30,s934,s909,s121,s120,s84,s42,s930,s942,s915]) ).

cnf(s944,plain,
    ~ spl0_4,
    inference(rat,[],[s876,s95,s130,s131,s41,s943,s9,s823,s930,s891,s915,s941]) ).

cnf(s945,plain,
    ~ spl0_47,
    inference(rat,[],[s29,s944,s915,s935]) ).

cnf(s946,plain,
    spl0_128,
    inference(rat,[],[s119,s945]) ).

cnf(s947,plain,
    spl0_91,
    inference(rat,[],[s83,s945]) ).

cnf(s948,plain,
    ~ spl0_90,
    inference(rat,[],[s82,s945]) ).

cnf(s949,plain,
    spl0_169,
    inference(rat,[],[s792,s946,s941,s947]) ).

cnf(s950,plain,
    ~ spl0_27,
    inference(rat,[],[s710,s949,s946,s947]) ).

cnf(s952,plain,
    ~ spl0_13,
    inference(rat,[],[s451,s949,s946,s948]) ).

cnf(s953,plain,
    ~ spl0_5,
    inference(rat,[],[s648,s947,s948,s949]) ).

cnf(s955,plain,
    spl0_14,
    inference(rat,[],[s5,s952,s915,s953]) ).

cnf(s959,plain,
    ~ spl0_7,
    inference(rat,[],[s250,s944,s955]) ).

cnf(s961,plain,
    ~ spl0_26,
    inference(rat,[],[s12,s950,s915,s959]) ).

cnf(s963,plain,
    spl0_125,
    inference(rat,[],[s116,s961]) ).

cnf(s964,plain,
    spl0_88,
    inference(rat,[],[s80,s961]) ).

cnf(s965,plain,
    ~ spl0_87,
    inference(rat,[],[s79,s961]) ).

cnf(s967,plain,
    ~ spl0_25,
    inference(rat,[],[s490,s963,s964,s965]) ).

cnf(s969,plain,
    spl0_54,
    inference(rat,[],[s54,s915,s967]) ).

cnf(s970,plain,
    ~ spl0_135,
    inference(rat,[],[s126,s969]) ).

cnf(s971,plain,
    spl0_134,
    inference(rat,[],[s125,s969]) ).

cnf(s972,plain,
    spl0_99,
    inference(rat,[],[s91,s969]) ).

cnf(s973,plain,
    $false,
    inference(rat,[],[s791,s970,s941,s971,s972]) ).

fof(f3455,plain,
    $false,
    inference(avatar_sat_refutation,[],[s973]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SYN458-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11  % Computer : n012.cluster.edu
% 0.00/0.11  % Model    : x86_64 x86_64
% 0.00/0.11  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11  % Memory   : 8046.5625MB
% 0.00/0.11  % OS       : Linux 6.8.0-71-generic
% 0.00/0.11  % CPULimit : 300
% 0.00/0.11  % WCLimit  : 300
% 0.00/0.11  % DateTime : Mon Sep 28 16:05:49 UTC 2026
% 0.00/0.11  % CPUTime  : 
% 0.00/0.11  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.12  Running first-order model finding
% 0.08/0.12  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.18  % (3486244)Will run a generic schedule for satisfiability detection.
% 0.08/0.18  % (3486250)% WARNING: option uhcvi not known.
% 0.08/0.18  % (3486252)dis+10_1_sil=32000:sp=arity:random_seed=665899458:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.18  % (3486249)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2908742453_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.18  % (3486254)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1868253903:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.18  % (3486250)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1353967204:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.18  % (3486251)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3579759228:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.18  % (3486253)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=874075697:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.18  % (3486255)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=236952944:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.18  % Detected minimum model sizes of [1]
% 0.08/0.18  % Detected maximum model sizes of [32]
% 0.08/0.18  % TRYING [1]
% 0.08/0.18  % TRYING [2]
% 0.08/0.18  % TRYING [3]
% 0.08/0.18  % TRYING [4]
% 0.08/0.18  % TRYING [5]
% 0.08/0.18  % (3486255) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3486244-3486255"...
% 0.08/0.18  % (3486255)...printing done.
% 0.08/0.18  % (3486255)Refutation found. Thanks to Tanya!
% 0.08/0.18  % SZS status Unsatisfiable for theBenchmark
% 0.08/0.18  % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.18  % (3486255)------------------------------
% 0.08/0.18  % (3486255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.18  % (3486255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.18  % (3486255)CaDiCaL version: 2.1.3
% 0.08/0.18  % (3486255)Termination reason: Refutation
% 0.08/0.18  % (3486255)Time elapsed: 0.025 s
% 0.08/0.18  % (3486255)Peak memory usage: 13 MB
% 0.08/0.18  % (3486255)Instructions burned: 75 (million)
% 0.08/0.18  % (3486244)Success in time 0.05 s
% 0.08/0.18  % Vampire exiting
%------------------------------------------------------------------------------