TSTP Solution File: LCL666+1.005 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL666+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 07:51:20 EDT 2024
% Result : Theorem 0.21s 0.48s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 237
% Syntax : Number of formulae : 1128 ( 45 unt; 0 def)
% Number of atoms : 5272 ( 0 equ)
% Maximal formula atoms : 241 ( 4 avg)
% Number of connectives : 7048 (2904 ~;2824 |;1126 &)
% ( 143 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 88 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 216 ( 215 usr; 144 prp; 0-2 aty)
% Number of functors : 51 ( 51 usr; 1 con; 0-1 aty)
% Number of variables : 1061 ( 753 !; 308 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7087,plain,
$false,
inference(avatar_sat_refutation,[],[f427,f435,f443,f451,f459,f467,f488,f512,f534,f556,f580,f602,f624,f648,f670,f688,f704,f726,f735,f745,f749,f760,f764,f785,f810,f829,f888,f959,f1000,f1012,f1015,f1029,f1062,f1068,f1070,f1072,f1084,f1085,f1157,f1163,f1176,f1200,f1223,f1226,f1248,f1251,f1253,f1266,f1302,f1327,f1352,f1377,f1402,f1427,f1452,f1477,f1502,f1527,f1596,f1598,f1625,f1627,f1634,f1636,f1699,f1732,f1734,f1747,f1773,f1788,f1968,f1981,f1992,f2212,f2213,f2283,f2370,f2381,f2382,f2395,f2414,f2434,f2470,f2477,f2479,f2501,f2503,f2507,f2511,f2519,f2521,f2597,f2603,f2604,f2607,f2619,f2786,f2787,f2902,f2905,f2908,f2924,f2935,f2956,f2968,f3117,f3333,f3341,f3344,f3351,f3352,f3430,f3463,f3468,f3476,f3478,f3480,f3573,f3611,f3771,f3791,f3868,f3870,f3891,f3976,f3979,f3980,f3991,f3998,f4014,f4020,f4111,f4138,f4170,f4172,f4177,f4263,f4280,f4303,f4305,f4310,f4397,f4409,f4418,f4423,f4433,f4574,f4576,f4602,f4755,f4814,f4818,f4828,f4835,f4874,f4876,f4948,f4995,f5069,f5106,f5198,f5215,f5236,f5237,f5334,f5345,f5356,f5358,f5362,f5533,f5551,f5568,f5715,f5778,f5871,f5903,f5988,f5995,f6154,f6160,f6165,f6238,f6263,f6273,f6278,f6283,f6292,f6294,f6403,f6405,f6504,f6649,f6656,f6672,f6840,f6858,f6859,f7066,f7086]) ).
fof(f7086,plain,
( ~ spl98_144
| ~ spl98_147
| spl98_145
| ~ spl98_68 ),
inference(avatar_split_clause,[],[f6995,f1006,f1496,f1508,f1492]) ).
fof(f1492,plain,
( spl98_144
<=> sP1(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_144])]) ).
fof(f1508,plain,
( spl98_147
<=> p205(sK87(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_147])]) ).
fof(f1496,plain,
( spl98_145
<=> p405(sK88(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_145])]) ).
fof(f1006,plain,
( spl98_68
<=> ! [X10] :
( p405(X10)
| ~ r1(sK91,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_68])]) ).
fof(f6995,plain,
( p405(sK88(sK91))
| ~ p205(sK87(sK91))
| ~ sP1(sK91)
| ~ spl98_68 ),
inference(resolution,[],[f1007,f393]) ).
fof(f393,plain,
! [X0] :
( r1(X0,sK88(X0))
| ~ p205(sK87(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0] :
( ( ~ p205(sK87(X0))
& r1(X0,sK87(X0)) )
| ( ~ p405(sK88(X0))
& r1(X0,sK88(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK87,sK88])],[f213,f215,f214]) ).
fof(f214,plain,
! [X0] :
( ? [X1] :
( ~ p205(X1)
& r1(X0,X1) )
=> ( ~ p205(sK87(X0))
& r1(X0,sK87(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f215,plain,
! [X0] :
( ? [X2] :
( ~ p405(X2)
& r1(X0,X2) )
=> ( ~ p405(sK88(X0))
& r1(X0,sK88(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f213,plain,
! [X0] :
( ? [X1] :
( ~ p205(X1)
& r1(X0,X1) )
| ? [X2] :
( ~ p405(X2)
& r1(X0,X2) )
| ~ sP1(X0) ),
inference(rectify,[],[f212]) ).
fof(f212,plain,
! [X11] :
( ? [X52] :
( ~ p205(X52)
& r1(X11,X52) )
| ? [X53] :
( ~ p405(X53)
& r1(X11,X53) )
| ~ sP1(X11) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X11] :
( ? [X52] :
( ~ p205(X52)
& r1(X11,X52) )
| ? [X53] :
( ~ p405(X53)
& r1(X11,X53) )
| ~ sP1(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1007,plain,
( ! [X10] :
( ~ r1(sK91,X10)
| p405(X10) )
| ~ spl98_68 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f7066,plain,
( ~ spl98_144
| ~ spl98_145
| ~ spl98_147 ),
inference(avatar_split_clause,[],[f7000,f1508,f1496,f1492]) ).
fof(f7000,plain,
( ~ p405(sK88(sK91))
| ~ sP1(sK91)
| ~ spl98_147 ),
inference(resolution,[],[f1509,f394]) ).
fof(f394,plain,
! [X0] :
( ~ p205(sK87(X0))
| ~ p405(sK88(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f1509,plain,
( p205(sK87(sK91))
| ~ spl98_147 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f6859,plain,
( ~ spl98_90
| ~ spl98_51
| ~ spl98_483 ),
inference(avatar_split_clause,[],[f6841,f6837,f728,f1207]) ).
fof(f1207,plain,
( spl98_90
<=> sP15(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_90])]) ).
fof(f728,plain,
( spl98_51
<=> p505(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_51])]) ).
fof(f6837,plain,
( spl98_483
<=> p205(sK65(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_483])]) ).
fof(f6841,plain,
( ~ p505(sK91)
| ~ sP15(sK91)
| ~ spl98_483 ),
inference(resolution,[],[f6839,f348]) ).
fof(f348,plain,
! [X0] :
( ~ p205(sK65(X0))
| ~ p505(X0)
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ( ~ p205(sK65(X0))
& r1(X0,sK65(X0)) )
| ~ p505(X0)
| ~ sP15(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK65])],[f149,f150]) ).
fof(f150,plain,
! [X0] :
( ? [X1] :
( ~ p205(X1)
& r1(X0,X1) )
=> ( ~ p205(sK65(X0))
& r1(X0,sK65(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X0] :
( ? [X1] :
( ~ p205(X1)
& r1(X0,X1) )
| ~ p505(X0)
| ~ sP15(X0) ),
inference(rectify,[],[f148]) ).
fof(f148,plain,
! [X11] :
( ? [X54] :
( ~ p205(X54)
& r1(X11,X54) )
| ~ p505(X11)
| ~ sP15(X11) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X11] :
( ? [X54] :
( ~ p205(X54)
& r1(X11,X54) )
| ~ p505(X11)
| ~ sP15(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f6839,plain,
( p205(sK65(sK91))
| ~ spl98_483 ),
inference(avatar_component_clause,[],[f6837]) ).
fof(f6858,plain,
( ~ spl98_144
| ~ spl98_145
| spl98_147
| ~ spl98_10 ),
inference(avatar_split_clause,[],[f6802,f457,f1508,f1496,f1492]) ).
fof(f457,plain,
( spl98_10
<=> ! [X7] :
( p205(X7)
| ~ r1(sK91,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_10])]) ).
fof(f6802,plain,
( p205(sK87(sK91))
| ~ p405(sK88(sK91))
| ~ sP1(sK91)
| ~ spl98_10 ),
inference(resolution,[],[f458,f392]) ).
fof(f392,plain,
! [X0] :
( r1(X0,sK87(X0))
| ~ p405(sK88(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f458,plain,
( ! [X7] :
( ~ r1(sK91,X7)
| p205(X7) )
| ~ spl98_10 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f6840,plain,
( ~ spl98_90
| ~ spl98_51
| spl98_483
| ~ spl98_10 ),
inference(avatar_split_clause,[],[f6772,f457,f6837,f728,f1207]) ).
fof(f6772,plain,
( p205(sK65(sK91))
| ~ p505(sK91)
| ~ sP15(sK91)
| ~ spl98_10 ),
inference(resolution,[],[f458,f347]) ).
fof(f347,plain,
! [X0] :
( r1(X0,sK65(X0))
| ~ p505(X0)
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f6672,plain,
( ~ spl98_55
| ~ spl98_63
| ~ spl98_54 ),
inference(avatar_split_clause,[],[f6658,f742,f885,f757]) ).
fof(f757,plain,
( spl98_55
<=> sP40(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_55])]) ).
fof(f885,plain,
( spl98_63
<=> p301(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_63])]) ).
fof(f742,plain,
( spl98_54
<=> p101(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_54])]) ).
fof(f6658,plain,
( ~ p301(sK91)
| ~ sP40(sK91)
| ~ spl98_54 ),
inference(resolution,[],[f744,f297]) ).
fof(f297,plain,
! [X0] :
( ~ p101(X0)
| ~ p301(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ( ( ~ p101(X0)
| ~ p201(X0) )
& ( ~ p101(X0)
| ~ p301(X0) )
& ( ~ p101(X0)
| ~ p401(X0) )
& ( ~ p101(X0)
| ~ p501(X0) )
& ( ~ p101(X0)
| ~ p601(X0) )
& ( ~ p201(X0)
| ~ p301(X0) )
& ( ~ p201(X0)
| ~ p401(X0) )
& ( ~ p201(X0)
| ~ p501(X0) )
& ( ~ p201(X0)
| ~ p601(X0) )
& ( ~ p301(X0)
| ~ p401(X0) )
& ( ~ p301(X0)
| ~ p501(X0) )
& ( ~ p301(X0)
| ~ p601(X0) )
& ( ~ p401(X0)
| ~ p501(X0) )
& ( ~ p401(X0)
| ~ p601(X0) )
& ( ~ p501(X0)
| ~ p601(X0) )
& sP39(X0)
& sP38(X0)
& sP37(X0)
& sP36(X0)
& sP35(X0)
& ( ~ p202(X0)
| ~ p302(X0) )
& ( ~ p202(X0)
| ~ p402(X0) )
& ( ~ p202(X0)
| ~ p502(X0) )
& ( ~ p202(X0)
| ~ p602(X0) )
& ( ~ p302(X0)
| ~ p402(X0) )
& ( ~ p302(X0)
| ~ p502(X0) )
& ( ~ p302(X0)
| ~ p602(X0) )
& ( ~ p402(X0)
| ~ p502(X0) )
& ( ~ p402(X0)
| ~ p602(X0) )
& ( ~ p502(X0)
| ~ p602(X0) )
& sP9(X0)
& sP34(X0)
& sP33(X0)
& sP32(X0)
& sP31(X0)
& sP30(X0)
& sP29(X0)
& sP28(X0)
& sP27(X0)
& ( ~ p303(X0)
| ~ p403(X0) )
& ( ~ p303(X0)
| ~ p503(X0) )
& ( ~ p303(X0)
| ~ p603(X0) )
& ( ~ p403(X0)
| ~ p503(X0) )
& ( ~ p403(X0)
| ~ p603(X0) )
& ( ~ p503(X0)
| ~ p603(X0) )
& sP8(X0)
& sP7(X0)
& sP26(X0)
& sP25(X0)
& sP24(X0)
& sP6(X0)
& sP23(X0)
& sP22(X0)
& sP21(X0)
& sP20(X0)
& sP19(X0)
& sP18(X0)
& ( ~ p404(X0)
| ~ p504(X0) )
& ( ~ p404(X0)
| ~ p604(X0) )
& ( ~ p504(X0)
| ~ p604(X0) )
& sP5(X0)
& sP4(X0)
& sP3(X0)
& sP17(X0)
& sP16(X0)
& sP2(X0)
& sP1(X0)
& sP15(X0)
& sP14(X0)
& sP0(X0)
& sP13(X0)
& sP12(X0)
& sP11(X0)
& sP10(X0)
& ( ~ p505(X0)
| ~ p605(X0) ) )
| ~ sP40(X0) ),
inference(rectify,[],[f50]) ).
fof(f50,plain,
! [X11] :
( ( ( ~ p101(X11)
| ~ p201(X11) )
& ( ~ p101(X11)
| ~ p301(X11) )
& ( ~ p101(X11)
| ~ p401(X11) )
& ( ~ p101(X11)
| ~ p501(X11) )
& ( ~ p101(X11)
| ~ p601(X11) )
& ( ~ p201(X11)
| ~ p301(X11) )
& ( ~ p201(X11)
| ~ p401(X11) )
& ( ~ p201(X11)
| ~ p501(X11) )
& ( ~ p201(X11)
| ~ p601(X11) )
& ( ~ p301(X11)
| ~ p401(X11) )
& ( ~ p301(X11)
| ~ p501(X11) )
& ( ~ p301(X11)
| ~ p601(X11) )
& ( ~ p401(X11)
| ~ p501(X11) )
& ( ~ p401(X11)
| ~ p601(X11) )
& ( ~ p501(X11)
| ~ p601(X11) )
& sP39(X11)
& sP38(X11)
& sP37(X11)
& sP36(X11)
& sP35(X11)
& ( ~ p202(X11)
| ~ p302(X11) )
& ( ~ p202(X11)
| ~ p402(X11) )
& ( ~ p202(X11)
| ~ p502(X11) )
& ( ~ p202(X11)
| ~ p602(X11) )
& ( ~ p302(X11)
| ~ p402(X11) )
& ( ~ p302(X11)
| ~ p502(X11) )
& ( ~ p302(X11)
| ~ p602(X11) )
& ( ~ p402(X11)
| ~ p502(X11) )
& ( ~ p402(X11)
| ~ p602(X11) )
& ( ~ p502(X11)
| ~ p602(X11) )
& sP9(X11)
& sP34(X11)
& sP33(X11)
& sP32(X11)
& sP31(X11)
& sP30(X11)
& sP29(X11)
& sP28(X11)
& sP27(X11)
& ( ~ p303(X11)
| ~ p403(X11) )
& ( ~ p303(X11)
| ~ p503(X11) )
& ( ~ p303(X11)
| ~ p603(X11) )
& ( ~ p403(X11)
| ~ p503(X11) )
& ( ~ p403(X11)
| ~ p603(X11) )
& ( ~ p503(X11)
| ~ p603(X11) )
& sP8(X11)
& sP7(X11)
& sP26(X11)
& sP25(X11)
& sP24(X11)
& sP6(X11)
& sP23(X11)
& sP22(X11)
& sP21(X11)
& sP20(X11)
& sP19(X11)
& sP18(X11)
& ( ~ p404(X11)
| ~ p504(X11) )
& ( ~ p404(X11)
| ~ p604(X11) )
& ( ~ p504(X11)
| ~ p604(X11) )
& sP5(X11)
& sP4(X11)
& sP3(X11)
& sP17(X11)
& sP16(X11)
& sP2(X11)
& sP1(X11)
& sP15(X11)
& sP14(X11)
& sP0(X11)
& sP13(X11)
& sP12(X11)
& sP11(X11)
& sP10(X11)
& ( ~ p505(X11)
| ~ p605(X11) ) )
| ~ sP40(X11) ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X11] :
( ( ( ~ p101(X11)
| ~ p201(X11) )
& ( ~ p101(X11)
| ~ p301(X11) )
& ( ~ p101(X11)
| ~ p401(X11) )
& ( ~ p101(X11)
| ~ p501(X11) )
& ( ~ p101(X11)
| ~ p601(X11) )
& ( ~ p201(X11)
| ~ p301(X11) )
& ( ~ p201(X11)
| ~ p401(X11) )
& ( ~ p201(X11)
| ~ p501(X11) )
& ( ~ p201(X11)
| ~ p601(X11) )
& ( ~ p301(X11)
| ~ p401(X11) )
& ( ~ p301(X11)
| ~ p501(X11) )
& ( ~ p301(X11)
| ~ p601(X11) )
& ( ~ p401(X11)
| ~ p501(X11) )
& ( ~ p401(X11)
| ~ p601(X11) )
& ( ~ p501(X11)
| ~ p601(X11) )
& sP39(X11)
& sP38(X11)
& sP37(X11)
& sP36(X11)
& sP35(X11)
& ( ~ p202(X11)
| ~ p302(X11) )
& ( ~ p202(X11)
| ~ p402(X11) )
& ( ~ p202(X11)
| ~ p502(X11) )
& ( ~ p202(X11)
| ~ p602(X11) )
& ( ~ p302(X11)
| ~ p402(X11) )
& ( ~ p302(X11)
| ~ p502(X11) )
& ( ~ p302(X11)
| ~ p602(X11) )
& ( ~ p402(X11)
| ~ p502(X11) )
& ( ~ p402(X11)
| ~ p602(X11) )
& ( ~ p502(X11)
| ~ p602(X11) )
& sP9(X11)
& sP34(X11)
& sP33(X11)
& sP32(X11)
& sP31(X11)
& sP30(X11)
& sP29(X11)
& sP28(X11)
& sP27(X11)
& ( ~ p303(X11)
| ~ p403(X11) )
& ( ~ p303(X11)
| ~ p503(X11) )
& ( ~ p303(X11)
| ~ p603(X11) )
& ( ~ p403(X11)
| ~ p503(X11) )
& ( ~ p403(X11)
| ~ p603(X11) )
& ( ~ p503(X11)
| ~ p603(X11) )
& sP8(X11)
& sP7(X11)
& sP26(X11)
& sP25(X11)
& sP24(X11)
& sP6(X11)
& sP23(X11)
& sP22(X11)
& sP21(X11)
& sP20(X11)
& sP19(X11)
& sP18(X11)
& ( ~ p404(X11)
| ~ p504(X11) )
& ( ~ p404(X11)
| ~ p604(X11) )
& ( ~ p504(X11)
| ~ p604(X11) )
& sP5(X11)
& sP4(X11)
& sP3(X11)
& sP17(X11)
& sP16(X11)
& sP2(X11)
& sP1(X11)
& sP15(X11)
& sP14(X11)
& sP0(X11)
& sP13(X11)
& sP12(X11)
& sP11(X11)
& sP10(X11)
& ( ~ p505(X11)
| ~ p605(X11) ) )
| ~ sP40(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f744,plain,
( p101(sK91)
| ~ spl98_54 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f6656,plain,
( ~ spl98_55
| ~ spl98_48
| ~ spl98_45 ),
inference(avatar_split_clause,[],[f6641,f698,f714,f757]) ).
fof(f714,plain,
( spl98_48
<=> p604(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_48])]) ).
fof(f698,plain,
( spl98_45
<=> p504(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_45])]) ).
fof(f6641,plain,
( ~ p604(sK91)
| ~ sP40(sK91)
| ~ spl98_45 ),
inference(resolution,[],[f699,f239]) ).
fof(f239,plain,
! [X0] :
( ~ p504(X0)
| ~ p604(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f699,plain,
( p504(sK91)
| ~ spl98_45 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f6649,plain,
( ~ spl98_55
| ~ spl98_45
| ~ spl98_42 ),
inference(avatar_split_clause,[],[f6639,f682,f698,f757]) ).
fof(f682,plain,
( spl98_42
<=> p404(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_42])]) ).
fof(f6639,plain,
( ~ p504(sK91)
| ~ sP40(sK91)
| ~ spl98_42 ),
inference(resolution,[],[f683,f241]) ).
fof(f241,plain,
! [X0] :
( ~ p404(X0)
| ~ p504(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f683,plain,
( p404(sK91)
| ~ spl98_42 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f6504,plain,
( ~ spl98_55
| ~ spl98_33
| ~ spl98_30 ),
inference(avatar_split_clause,[],[f6474,f594,f616,f757]) ).
fof(f616,plain,
( spl98_33
<=> p403(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_33])]) ).
fof(f594,plain,
( spl98_30
<=> p303(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_30])]) ).
fof(f6474,plain,
( ~ p403(sK91)
| ~ sP40(sK91)
| ~ spl98_30 ),
inference(resolution,[],[f595,f259]) ).
fof(f259,plain,
! [X0] :
( ~ p303(X0)
| ~ p403(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f595,plain,
( p303(sK91)
| ~ spl98_30 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f6405,plain,
( ~ spl98_88
| ~ spl98_48
| ~ spl98_472 ),
inference(avatar_split_clause,[],[f6404,f6400,f714,f1194]) ).
fof(f1194,plain,
( spl98_88
<=> sP18(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_88])]) ).
fof(f6400,plain,
( spl98_472
<=> p304(sK62(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_472])]) ).
fof(f6404,plain,
( ~ p604(sK91)
| ~ sP18(sK91)
| ~ spl98_472 ),
inference(resolution,[],[f6402,f342]) ).
fof(f342,plain,
! [X0] :
( ~ p304(sK62(X0))
| ~ p604(X0)
| ~ sP18(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ( ~ p304(sK62(X0))
& r1(X0,sK62(X0)) )
| ~ p604(X0)
| ~ sP18(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK62])],[f137,f138]) ).
fof(f138,plain,
! [X0] :
( ? [X1] :
( ~ p304(X1)
& r1(X0,X1) )
=> ( ~ p304(sK62(X0))
& r1(X0,sK62(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
! [X0] :
( ? [X1] :
( ~ p304(X1)
& r1(X0,X1) )
| ~ p604(X0)
| ~ sP18(X0) ),
inference(rectify,[],[f136]) ).
fof(f136,plain,
! [X11] :
( ? [X41] :
( ~ p304(X41)
& r1(X11,X41) )
| ~ p604(X11)
| ~ sP18(X11) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X11] :
( ? [X41] :
( ~ p304(X41)
& r1(X11,X41) )
| ~ p604(X11)
| ~ sP18(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f6402,plain,
( p304(sK62(sK91))
| ~ spl98_472 ),
inference(avatar_component_clause,[],[f6400]) ).
fof(f6403,plain,
( ~ spl98_88
| ~ spl98_48
| spl98_472
| ~ spl98_12 ),
inference(avatar_split_clause,[],[f6330,f465,f6400,f714,f1194]) ).
fof(f465,plain,
( spl98_12
<=> ! [X8] :
( p304(X8)
| ~ r1(sK91,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_12])]) ).
fof(f6330,plain,
( p304(sK62(sK91))
| ~ p604(sK91)
| ~ sP18(sK91)
| ~ spl98_12 ),
inference(resolution,[],[f466,f341]) ).
fof(f341,plain,
! [X0] :
( r1(X0,sK62(X0))
| ~ p604(X0)
| ~ sP18(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f466,plain,
( ! [X8] :
( ~ r1(sK91,X8)
| p304(X8) )
| ~ spl98_12 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f6294,plain,
( ~ spl98_55
| ~ spl98_36
| ~ spl98_30 ),
inference(avatar_split_clause,[],[f6285,f594,f638,f757]) ).
fof(f638,plain,
( spl98_36
<=> p503(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_36])]) ).
fof(f6285,plain,
( ~ p503(sK91)
| ~ sP40(sK91)
| ~ spl98_30 ),
inference(resolution,[],[f595,f258]) ).
fof(f258,plain,
! [X0] :
( ~ p303(X0)
| ~ p503(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f6292,plain,
( ~ spl98_55
| ~ spl98_39
| ~ spl98_30 ),
inference(avatar_split_clause,[],[f6286,f594,f662,f757]) ).
fof(f662,plain,
( spl98_39
<=> p603(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_39])]) ).
fof(f6286,plain,
( ~ p603(sK91)
| ~ sP40(sK91)
| ~ spl98_30 ),
inference(resolution,[],[f595,f257]) ).
fof(f257,plain,
! [X0] :
( ~ p303(X0)
| ~ p603(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f6283,plain,
( ~ spl98_55
| ~ spl98_63
| ~ spl98_61 ),
inference(avatar_split_clause,[],[f6274,f826,f885,f757]) ).
fof(f826,plain,
( spl98_61
<=> p201(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_61])]) ).
fof(f6274,plain,
( ~ p301(sK91)
| ~ sP40(sK91)
| ~ spl98_61 ),
inference(resolution,[],[f828,f293]) ).
fof(f293,plain,
! [X0] :
( ~ p201(X0)
| ~ p301(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f828,plain,
( p201(sK91)
| ~ spl98_61 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f6278,plain,
( ~ spl98_55
| ~ spl98_48
| ~ spl98_42 ),
inference(avatar_split_clause,[],[f6272,f682,f714,f757]) ).
fof(f6272,plain,
( ~ p604(sK91)
| ~ sP40(sK91)
| ~ spl98_42 ),
inference(resolution,[],[f683,f240]) ).
fof(f240,plain,
! [X0] :
( ~ p404(X0)
| ~ p604(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f6273,plain,
( ~ spl98_55
| ~ spl98_18
| ~ spl98_15 ),
inference(avatar_split_clause,[],[f6264,f480,f502,f757]) ).
fof(f502,plain,
( spl98_18
<=> p302(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_18])]) ).
fof(f480,plain,
( spl98_15
<=> p202(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_15])]) ).
fof(f6264,plain,
( ~ p302(sK91)
| ~ sP40(sK91)
| ~ spl98_15 ),
inference(resolution,[],[f481,f278]) ).
fof(f278,plain,
! [X0] :
( ~ p202(X0)
| ~ p302(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f481,plain,
( p202(sK91)
| ~ spl98_15 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f6263,plain,
( ~ spl98_134
| ~ spl98_137
| spl98_135
| ~ spl98_68 ),
inference(avatar_split_clause,[],[f6227,f1006,f1446,f1458,f1442]) ).
fof(f1442,plain,
( spl98_134
<=> sP3(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_134])]) ).
fof(f1458,plain,
( spl98_137
<=> p105(sK83(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_137])]) ).
fof(f1446,plain,
( spl98_135
<=> p405(sK84(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_135])]) ).
fof(f6227,plain,
( p405(sK84(sK91))
| ~ p105(sK83(sK91))
| ~ sP3(sK91)
| ~ spl98_68 ),
inference(resolution,[],[f1007,f385]) ).
fof(f385,plain,
! [X0] :
( r1(X0,sK84(X0))
| ~ p105(sK83(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ( ~ p105(sK83(X0))
& r1(X0,sK83(X0)) )
| ( ~ p405(sK84(X0))
& r1(X0,sK84(X0)) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK83,sK84])],[f203,f205,f204]) ).
fof(f204,plain,
! [X0] :
( ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
=> ( ~ p105(sK83(X0))
& r1(X0,sK83(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f205,plain,
! [X0] :
( ? [X2] :
( ~ p405(X2)
& r1(X0,X2) )
=> ( ~ p405(sK84(X0))
& r1(X0,sK84(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f203,plain,
! [X0] :
( ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
| ? [X2] :
( ~ p405(X2)
& r1(X0,X2) )
| ~ sP3(X0) ),
inference(rectify,[],[f202]) ).
fof(f202,plain,
! [X11] :
( ? [X46] :
( ~ p105(X46)
& r1(X11,X46) )
| ? [X47] :
( ~ p405(X47)
& r1(X11,X47) )
| ~ sP3(X11) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X11] :
( ? [X46] :
( ~ p105(X46)
& r1(X11,X46) )
| ? [X47] :
( ~ p405(X47)
& r1(X11,X47) )
| ~ sP3(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f6238,plain,
( ~ spl98_134
| ~ spl98_135
| ~ spl98_137 ),
inference(avatar_split_clause,[],[f6237,f1458,f1446,f1442]) ).
fof(f6237,plain,
( ~ p405(sK84(sK91))
| ~ sP3(sK91)
| ~ spl98_137 ),
inference(resolution,[],[f1459,f386]) ).
fof(f386,plain,
! [X0] :
( ~ p105(sK83(X0))
| ~ p405(sK84(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f1459,plain,
( p105(sK83(sK91))
| ~ spl98_137 ),
inference(avatar_component_clause,[],[f1458]) ).
fof(f6165,plain,
( ~ spl98_55
| ~ spl98_39
| ~ spl98_36 ),
inference(avatar_split_clause,[],[f6130,f638,f662,f757]) ).
fof(f6130,plain,
( ~ p603(sK91)
| ~ sP40(sK91)
| ~ spl98_36 ),
inference(resolution,[],[f639,f254]) ).
fof(f254,plain,
! [X0] :
( ~ p503(X0)
| ~ p603(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f639,plain,
( p503(sK91)
| ~ spl98_36 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f6160,plain,
( ~ spl98_124
| spl98_194
| spl98_125
| ~ spl98_10 ),
inference(avatar_split_clause,[],[f6046,f457,f1396,f1907,f1392]) ).
fof(f1392,plain,
( spl98_124
<=> sP5(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_124])]) ).
fof(f1907,plain,
( spl98_194
<=> r1(sK91,sK79(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_194])]) ).
fof(f1396,plain,
( spl98_125
<=> p205(sK80(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_125])]) ).
fof(f6046,plain,
( p205(sK80(sK91))
| r1(sK91,sK79(sK91))
| ~ sP5(sK91)
| ~ spl98_10 ),
inference(resolution,[],[f458,f375]) ).
fof(f375,plain,
! [X0] :
( r1(X0,sK80(X0))
| r1(X0,sK79(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0] :
( ( ~ p105(sK79(X0))
& r1(X0,sK79(X0)) )
| ( ~ p205(sK80(X0))
& r1(X0,sK80(X0)) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK79,sK80])],[f193,f195,f194]) ).
fof(f194,plain,
! [X0] :
( ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
=> ( ~ p105(sK79(X0))
& r1(X0,sK79(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f195,plain,
! [X0] :
( ? [X2] :
( ~ p205(X2)
& r1(X0,X2) )
=> ( ~ p205(sK80(X0))
& r1(X0,sK80(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f193,plain,
! [X0] :
( ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
| ? [X2] :
( ~ p205(X2)
& r1(X0,X2) )
| ~ sP5(X0) ),
inference(rectify,[],[f192]) ).
fof(f192,plain,
! [X11] :
( ? [X42] :
( ~ p105(X42)
& r1(X11,X42) )
| ? [X43] :
( ~ p205(X43)
& r1(X11,X43) )
| ~ sP5(X11) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X11] :
( ? [X42] :
( ~ p105(X42)
& r1(X11,X42) )
| ? [X43] :
( ~ p205(X43)
& r1(X11,X43) )
| ~ sP5(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f6154,plain,
( ~ spl98_124
| ~ spl98_125
| spl98_194 ),
inference(avatar_split_clause,[],[f6131,f1907,f1396,f1392]) ).
fof(f6131,plain,
( ~ p205(sK80(sK91))
| ~ sP5(sK91)
| spl98_194 ),
inference(resolution,[],[f1908,f376]) ).
fof(f376,plain,
! [X0] :
( r1(X0,sK79(X0))
| ~ p205(sK80(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f1908,plain,
( ~ r1(sK91,sK79(sK91))
| spl98_194 ),
inference(avatar_component_clause,[],[f1907]) ).
fof(f5995,plain,
( ~ spl98_84
| ~ spl98_45
| ~ spl98_454 ),
inference(avatar_split_clause,[],[f5989,f5985,f698,f1170]) ).
fof(f1170,plain,
( spl98_84
<=> sP19(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_84])]) ).
fof(f5985,plain,
( spl98_454
<=> p304(sK61(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_454])]) ).
fof(f5989,plain,
( ~ p504(sK91)
| ~ sP19(sK91)
| ~ spl98_454 ),
inference(resolution,[],[f5987,f340]) ).
fof(f340,plain,
! [X0] :
( ~ p304(sK61(X0))
| ~ p504(X0)
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ( ~ p304(sK61(X0))
& r1(X0,sK61(X0)) )
| ~ p504(X0)
| ~ sP19(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK61])],[f133,f134]) ).
fof(f134,plain,
! [X0] :
( ? [X1] :
( ~ p304(X1)
& r1(X0,X1) )
=> ( ~ p304(sK61(X0))
& r1(X0,sK61(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
! [X0] :
( ? [X1] :
( ~ p304(X1)
& r1(X0,X1) )
| ~ p504(X0)
| ~ sP19(X0) ),
inference(rectify,[],[f132]) ).
fof(f132,plain,
! [X11] :
( ? [X40] :
( ~ p304(X40)
& r1(X11,X40) )
| ~ p504(X11)
| ~ sP19(X11) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X11] :
( ? [X40] :
( ~ p304(X40)
& r1(X11,X40) )
| ~ p504(X11)
| ~ sP19(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f5987,plain,
( p304(sK61(sK91))
| ~ spl98_454 ),
inference(avatar_component_clause,[],[f5985]) ).
fof(f5988,plain,
( ~ spl98_84
| ~ spl98_45
| spl98_454
| ~ spl98_12 ),
inference(avatar_split_clause,[],[f5393,f465,f5985,f698,f1170]) ).
fof(f5393,plain,
( p304(sK61(sK91))
| ~ p504(sK91)
| ~ sP19(sK91)
| ~ spl98_12 ),
inference(resolution,[],[f466,f339]) ).
fof(f339,plain,
! [X0] :
( r1(X0,sK61(X0))
| ~ p504(X0)
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f5903,plain,
( ~ spl98_14
| ~ spl98_15
| ~ spl98_445 ),
inference(avatar_split_clause,[],[f5872,f5868,f480,f476]) ).
fof(f476,plain,
( spl98_14
<=> sP39(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_14])]) ).
fof(f5868,plain,
( spl98_445
<=> p102(sK41(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_445])]) ).
fof(f5872,plain,
( ~ p202(sK91)
| ~ sP39(sK91)
| ~ spl98_445 ),
inference(resolution,[],[f5870,f300]) ).
fof(f300,plain,
! [X0] :
( ~ p102(sK41(X0))
| ~ p202(X0)
| ~ sP39(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ( ~ p102(sK41(X0))
& r1(X0,sK41(X0)) )
| ~ p202(X0)
| ~ sP39(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41])],[f53,f54]) ).
fof(f54,plain,
! [X0] :
( ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
=> ( ~ p102(sK41(X0))
& r1(X0,sK41(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0] :
( ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
| ~ p202(X0)
| ~ sP39(X0) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
! [X11] :
( ? [X12] :
( ~ p102(X12)
& r1(X11,X12) )
| ~ p202(X11)
| ~ sP39(X11) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X11] :
( ? [X12] :
( ~ p102(X12)
& r1(X11,X12) )
| ~ p202(X11)
| ~ sP39(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f5870,plain,
( p102(sK41(sK91))
| ~ spl98_445 ),
inference(avatar_component_clause,[],[f5868]) ).
fof(f5871,plain,
( ~ spl98_14
| ~ spl98_15
| spl98_445
| ~ spl98_6 ),
inference(avatar_split_clause,[],[f5791,f441,f5868,f480,f476]) ).
fof(f441,plain,
( spl98_6
<=> ! [X1] :
( p102(X1)
| ~ r1(sK91,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_6])]) ).
fof(f5791,plain,
( p102(sK41(sK91))
| ~ p202(sK91)
| ~ sP39(sK91)
| ~ spl98_6 ),
inference(resolution,[],[f442,f299]) ).
fof(f299,plain,
! [X0] :
( r1(X0,sK41(X0))
| ~ p202(X0)
| ~ sP39(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f442,plain,
( ! [X1] :
( ~ r1(sK91,X1)
| p102(X1) )
| ~ spl98_6 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f5778,plain,
( ~ spl98_94
| ~ spl98_49
| ~ spl98_430 ),
inference(avatar_split_clause,[],[f5716,f5712,f719,f1232]) ).
fof(f1232,plain,
( spl98_94
<=> sP14(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_94])]) ).
fof(f719,plain,
( spl98_49
<=> p605(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_49])]) ).
fof(f5712,plain,
( spl98_430
<=> p205(sK66(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_430])]) ).
fof(f5716,plain,
( ~ p605(sK91)
| ~ sP14(sK91)
| ~ spl98_430 ),
inference(resolution,[],[f5714,f350]) ).
fof(f350,plain,
! [X0] :
( ~ p205(sK66(X0))
| ~ p605(X0)
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ( ~ p205(sK66(X0))
& r1(X0,sK66(X0)) )
| ~ p605(X0)
| ~ sP14(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK66])],[f153,f154]) ).
fof(f154,plain,
! [X0] :
( ? [X1] :
( ~ p205(X1)
& r1(X0,X1) )
=> ( ~ p205(sK66(X0))
& r1(X0,sK66(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
! [X0] :
( ? [X1] :
( ~ p205(X1)
& r1(X0,X1) )
| ~ p605(X0)
| ~ sP14(X0) ),
inference(rectify,[],[f152]) ).
fof(f152,plain,
! [X11] :
( ? [X55] :
( ~ p205(X55)
& r1(X11,X55) )
| ~ p605(X11)
| ~ sP14(X11) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X11] :
( ? [X55] :
( ~ p205(X55)
& r1(X11,X55) )
| ~ p605(X11)
| ~ sP14(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f5714,plain,
( p205(sK66(sK91))
| ~ spl98_430 ),
inference(avatar_component_clause,[],[f5712]) ).
fof(f5715,plain,
( ~ spl98_94
| ~ spl98_49
| spl98_430
| ~ spl98_10 ),
inference(avatar_split_clause,[],[f5670,f457,f5712,f719,f1232]) ).
fof(f5670,plain,
( p205(sK66(sK91))
| ~ p605(sK91)
| ~ sP14(sK91)
| ~ spl98_10 ),
inference(resolution,[],[f458,f349]) ).
fof(f349,plain,
! [X0] :
( r1(X0,sK66(X0))
| ~ p605(X0)
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f5568,plain,
( ~ spl98_79
| ~ spl98_49
| ~ spl98_422 ),
inference(avatar_split_clause,[],[f5534,f5530,f719,f1078]) ).
fof(f1078,plain,
( spl98_79
<=> sP16(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_79])]) ).
fof(f5530,plain,
( spl98_422
<=> p105(sK64(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_422])]) ).
fof(f5534,plain,
( ~ p605(sK91)
| ~ sP16(sK91)
| ~ spl98_422 ),
inference(resolution,[],[f5532,f346]) ).
fof(f346,plain,
! [X0] :
( ~ p105(sK64(X0))
| ~ p605(X0)
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ( ~ p105(sK64(X0))
& r1(X0,sK64(X0)) )
| ~ p605(X0)
| ~ sP16(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK64])],[f145,f146]) ).
fof(f146,plain,
! [X0] :
( ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
=> ( ~ p105(sK64(X0))
& r1(X0,sK64(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
! [X0] :
( ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
| ~ p605(X0)
| ~ sP16(X0) ),
inference(rectify,[],[f144]) ).
fof(f144,plain,
! [X11] :
( ? [X49] :
( ~ p105(X49)
& r1(X11,X49) )
| ~ p605(X11)
| ~ sP16(X11) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X11] :
( ? [X49] :
( ~ p105(X49)
& r1(X11,X49) )
| ~ p605(X11)
| ~ sP16(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f5532,plain,
( p105(sK64(sK91))
| ~ spl98_422 ),
inference(avatar_component_clause,[],[f5530]) ).
fof(f5551,plain,
( ~ spl98_134
| ~ spl98_135
| spl98_137
| ~ spl98_53 ),
inference(avatar_split_clause,[],[f5488,f739,f1458,f1446,f1442]) ).
fof(f739,plain,
( spl98_53
<=> ! [X4] :
( p105(X4)
| ~ r1(sK91,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_53])]) ).
fof(f5488,plain,
( p105(sK83(sK91))
| ~ p405(sK84(sK91))
| ~ sP3(sK91)
| ~ spl98_53 ),
inference(resolution,[],[f740,f384]) ).
fof(f384,plain,
! [X0] :
( r1(X0,sK83(X0))
| ~ p405(sK84(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f740,plain,
( ! [X4] :
( ~ r1(sK91,X4)
| p105(X4) )
| ~ spl98_53 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f5533,plain,
( ~ spl98_79
| ~ spl98_49
| spl98_422
| ~ spl98_53 ),
inference(avatar_split_clause,[],[f5463,f739,f5530,f719,f1078]) ).
fof(f5463,plain,
( p105(sK64(sK91))
| ~ p605(sK91)
| ~ sP16(sK91)
| ~ spl98_53 ),
inference(resolution,[],[f740,f345]) ).
fof(f345,plain,
! [X0] :
( r1(X0,sK64(X0))
| ~ p605(X0)
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f5362,plain,
( ~ spl98_55
| ~ spl98_49
| ~ spl98_51 ),
inference(avatar_split_clause,[],[f4836,f728,f719,f757]) ).
fof(f4836,plain,
( ~ p605(sK91)
| ~ sP40(sK91)
| ~ spl98_51 ),
inference(resolution,[],[f730,f224]) ).
fof(f224,plain,
! [X0] :
( ~ p505(X0)
| ~ p605(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f730,plain,
( p505(sK91)
| ~ spl98_51 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f5358,plain,
( ~ spl98_114
| ~ spl98_115
| ~ spl98_117 ),
inference(avatar_split_clause,[],[f5357,f1358,f1346,f1342]) ).
fof(f1342,plain,
( spl98_114
<=> sP7(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_114])]) ).
fof(f1346,plain,
( spl98_115
<=> p304(sK76(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_115])]) ).
fof(f1358,plain,
( spl98_117
<=> p104(sK75(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_117])]) ).
fof(f5357,plain,
( ~ p304(sK76(sK91))
| ~ sP7(sK91)
| ~ spl98_117 ),
inference(resolution,[],[f1359,f370]) ).
fof(f370,plain,
! [X0] :
( ~ p104(sK75(X0))
| ~ p304(sK76(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ( ~ p104(sK75(X0))
& r1(X0,sK75(X0)) )
| ( ~ p304(sK76(X0))
& r1(X0,sK76(X0)) )
| ~ sP7(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK75,sK76])],[f183,f185,f184]) ).
fof(f184,plain,
! [X0] :
( ? [X1] :
( ~ p104(X1)
& r1(X0,X1) )
=> ( ~ p104(sK75(X0))
& r1(X0,sK75(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
! [X0] :
( ? [X2] :
( ~ p304(X2)
& r1(X0,X2) )
=> ( ~ p304(sK76(X0))
& r1(X0,sK76(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f183,plain,
! [X0] :
( ? [X1] :
( ~ p104(X1)
& r1(X0,X1) )
| ? [X2] :
( ~ p304(X2)
& r1(X0,X2) )
| ~ sP7(X0) ),
inference(rectify,[],[f182]) ).
fof(f182,plain,
! [X11] :
( ? [X29] :
( ~ p104(X29)
& r1(X11,X29) )
| ? [X30] :
( ~ p304(X30)
& r1(X11,X30) )
| ~ sP7(X11) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X11] :
( ? [X29] :
( ~ p104(X29)
& r1(X11,X29) )
| ? [X30] :
( ~ p304(X30)
& r1(X11,X30) )
| ~ sP7(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1359,plain,
( p104(sK75(sK91))
| ~ spl98_117 ),
inference(avatar_component_clause,[],[f1358]) ).
fof(f5356,plain,
( ~ spl98_114
| ~ spl98_115
| spl98_117
| ~ spl98_4 ),
inference(avatar_split_clause,[],[f5282,f433,f1358,f1346,f1342]) ).
fof(f433,plain,
( spl98_4
<=> ! [X3] :
( p104(X3)
| ~ r1(sK91,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_4])]) ).
fof(f5282,plain,
( p104(sK75(sK91))
| ~ p304(sK76(sK91))
| ~ sP7(sK91)
| ~ spl98_4 ),
inference(resolution,[],[f434,f368]) ).
fof(f368,plain,
! [X0] :
( r1(X0,sK75(X0))
| ~ p304(sK76(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f434,plain,
( ! [X3] :
( ~ r1(sK91,X3)
| p104(X3) )
| ~ spl98_4 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f5345,plain,
( ~ spl98_114
| spl98_192
| spl98_115
| ~ spl98_12 ),
inference(avatar_split_clause,[],[f5040,f465,f1346,f1892,f1342]) ).
fof(f1892,plain,
( spl98_192
<=> r1(sK91,sK75(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_192])]) ).
fof(f5040,plain,
( p304(sK76(sK91))
| r1(sK91,sK75(sK91))
| ~ sP7(sK91)
| ~ spl98_12 ),
inference(resolution,[],[f466,f367]) ).
fof(f367,plain,
! [X0] :
( r1(X0,sK76(X0))
| r1(X0,sK75(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f5334,plain,
( ~ spl98_114
| ~ spl98_117
| spl98_115
| ~ spl98_12 ),
inference(avatar_split_clause,[],[f5041,f465,f1346,f1358,f1342]) ).
fof(f5041,plain,
( p304(sK76(sK91))
| ~ p104(sK75(sK91))
| ~ sP7(sK91)
| ~ spl98_12 ),
inference(resolution,[],[f466,f369]) ).
fof(f369,plain,
! [X0] :
( r1(X0,sK76(X0))
| ~ p104(sK75(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f5237,plain,
( ~ spl98_178
| ~ spl98_51
| ~ spl98_400 ),
inference(avatar_split_clause,[],[f5199,f5195,f728,f1741]) ).
fof(f1741,plain,
( spl98_178
<=> sP11(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_178])]) ).
fof(f5195,plain,
( spl98_400
<=> p405(sK69(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_400])]) ).
fof(f5199,plain,
( ~ p505(sK91)
| ~ sP11(sK91)
| ~ spl98_400 ),
inference(resolution,[],[f5197,f356]) ).
fof(f356,plain,
! [X0] :
( ~ p405(sK69(X0))
| ~ p505(X0)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ( ~ p405(sK69(X0))
& r1(X0,sK69(X0)) )
| ~ p505(X0)
| ~ sP11(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK69])],[f165,f166]) ).
fof(f166,plain,
! [X0] :
( ? [X1] :
( ~ p405(X1)
& r1(X0,X1) )
=> ( ~ p405(sK69(X0))
& r1(X0,sK69(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f165,plain,
! [X0] :
( ? [X1] :
( ~ p405(X1)
& r1(X0,X1) )
| ~ p505(X0)
| ~ sP11(X0) ),
inference(rectify,[],[f164]) ).
fof(f164,plain,
! [X11] :
( ? [X60] :
( ~ p405(X60)
& r1(X11,X60) )
| ~ p505(X11)
| ~ sP11(X11) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X11] :
( ? [X60] :
( ~ p405(X60)
& r1(X11,X60) )
| ~ p505(X11)
| ~ sP11(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f5197,plain,
( p405(sK69(sK91))
| ~ spl98_400 ),
inference(avatar_component_clause,[],[f5195]) ).
fof(f5236,plain,
( ~ spl98_144
| spl98_198
| spl98_145
| ~ spl98_68 ),
inference(avatar_split_clause,[],[f5169,f1006,f1496,f1947,f1492]) ).
fof(f1947,plain,
( spl98_198
<=> r1(sK91,sK87(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_198])]) ).
fof(f5169,plain,
( p405(sK88(sK91))
| r1(sK91,sK87(sK91))
| ~ sP1(sK91)
| ~ spl98_68 ),
inference(resolution,[],[f1007,f391]) ).
fof(f391,plain,
! [X0] :
( r1(X0,sK88(X0))
| r1(X0,sK87(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f5215,plain,
( ~ spl98_134
| spl98_196
| spl98_135
| ~ spl98_68 ),
inference(avatar_split_clause,[],[f5163,f1006,f1446,f1927,f1442]) ).
fof(f1927,plain,
( spl98_196
<=> r1(sK91,sK83(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_196])]) ).
fof(f5163,plain,
( p405(sK84(sK91))
| r1(sK91,sK83(sK91))
| ~ sP3(sK91)
| ~ spl98_68 ),
inference(resolution,[],[f1007,f383]) ).
fof(f383,plain,
! [X0] :
( r1(X0,sK84(X0))
| r1(X0,sK83(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f5198,plain,
( ~ spl98_178
| ~ spl98_51
| spl98_400
| ~ spl98_68 ),
inference(avatar_split_clause,[],[f5142,f1006,f5195,f728,f1741]) ).
fof(f5142,plain,
( p405(sK69(sK91))
| ~ p505(sK91)
| ~ sP11(sK91)
| ~ spl98_68 ),
inference(resolution,[],[f1007,f355]) ).
fof(f355,plain,
! [X0] :
( r1(X0,sK69(X0))
| ~ p505(X0)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f5106,plain,
( ~ spl98_20
| ~ spl98_21
| ~ spl98_389 ),
inference(avatar_split_clause,[],[f5070,f5066,f526,f522]) ).
fof(f522,plain,
( spl98_20
<=> sP37(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_20])]) ).
fof(f526,plain,
( spl98_21
<=> p402(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_21])]) ).
fof(f5066,plain,
( spl98_389
<=> p102(sK43(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_389])]) ).
fof(f5070,plain,
( ~ p402(sK91)
| ~ sP37(sK91)
| ~ spl98_389 ),
inference(resolution,[],[f5068,f304]) ).
fof(f304,plain,
! [X0] :
( ~ p102(sK43(X0))
| ~ p402(X0)
| ~ sP37(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ( ~ p102(sK43(X0))
& r1(X0,sK43(X0)) )
| ~ p402(X0)
| ~ sP37(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43])],[f61,f62]) ).
fof(f62,plain,
! [X0] :
( ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
=> ( ~ p102(sK43(X0))
& r1(X0,sK43(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
! [X0] :
( ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
| ~ p402(X0)
| ~ sP37(X0) ),
inference(rectify,[],[f60]) ).
fof(f60,plain,
! [X11] :
( ? [X14] :
( ~ p102(X14)
& r1(X11,X14) )
| ~ p402(X11)
| ~ sP37(X11) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X11] :
( ? [X14] :
( ~ p102(X14)
& r1(X11,X14) )
| ~ p402(X11)
| ~ sP37(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f5068,plain,
( p102(sK43(sK91))
| ~ spl98_389 ),
inference(avatar_component_clause,[],[f5066]) ).
fof(f5069,plain,
( ~ spl98_20
| ~ spl98_21
| spl98_389
| ~ spl98_6 ),
inference(avatar_split_clause,[],[f4886,f441,f5066,f526,f522]) ).
fof(f4886,plain,
( p102(sK43(sK91))
| ~ p402(sK91)
| ~ sP37(sK91)
| ~ spl98_6 ),
inference(resolution,[],[f442,f303]) ).
fof(f303,plain,
! [X0] :
( r1(X0,sK43(X0))
| ~ p402(X0)
| ~ sP37(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f4995,plain,
( ~ spl98_17
| ~ spl98_18
| ~ spl98_379 ),
inference(avatar_split_clause,[],[f4949,f4945,f502,f498]) ).
fof(f498,plain,
( spl98_17
<=> sP38(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_17])]) ).
fof(f4945,plain,
( spl98_379
<=> p102(sK42(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_379])]) ).
fof(f4949,plain,
( ~ p302(sK91)
| ~ sP38(sK91)
| ~ spl98_379 ),
inference(resolution,[],[f4947,f302]) ).
fof(f302,plain,
! [X0] :
( ~ p102(sK42(X0))
| ~ p302(X0)
| ~ sP38(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ( ~ p102(sK42(X0))
& r1(X0,sK42(X0)) )
| ~ p302(X0)
| ~ sP38(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK42])],[f57,f58]) ).
fof(f58,plain,
! [X0] :
( ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
=> ( ~ p102(sK42(X0))
& r1(X0,sK42(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0] :
( ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
| ~ p302(X0)
| ~ sP38(X0) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X11] :
( ? [X13] :
( ~ p102(X13)
& r1(X11,X13) )
| ~ p302(X11)
| ~ sP38(X11) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X11] :
( ? [X13] :
( ~ p102(X13)
& r1(X11,X13) )
| ~ p302(X11)
| ~ sP38(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f4947,plain,
( p102(sK42(sK91))
| ~ spl98_379 ),
inference(avatar_component_clause,[],[f4945]) ).
fof(f4948,plain,
( ~ spl98_17
| ~ spl98_18
| spl98_379
| ~ spl98_6 ),
inference(avatar_split_clause,[],[f4885,f441,f4945,f502,f498]) ).
fof(f4885,plain,
( p102(sK42(sK91))
| ~ p302(sK91)
| ~ sP38(sK91)
| ~ spl98_6 ),
inference(resolution,[],[f442,f301]) ).
fof(f301,plain,
! [X0] :
( r1(X0,sK42(X0))
| ~ p302(X0)
| ~ sP38(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f4876,plain,
( ~ spl98_77
| ~ spl98_51
| ~ spl98_378 ),
inference(avatar_split_clause,[],[f4875,f4871,f728,f1057]) ).
fof(f1057,plain,
( spl98_77
<=> sP17(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_77])]) ).
fof(f4871,plain,
( spl98_378
<=> p105(sK63(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_378])]) ).
fof(f4875,plain,
( ~ p505(sK91)
| ~ sP17(sK91)
| ~ spl98_378 ),
inference(resolution,[],[f4873,f344]) ).
fof(f344,plain,
! [X0] :
( ~ p105(sK63(X0))
| ~ p505(X0)
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( ( ~ p105(sK63(X0))
& r1(X0,sK63(X0)) )
| ~ p505(X0)
| ~ sP17(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK63])],[f141,f142]) ).
fof(f142,plain,
! [X0] :
( ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
=> ( ~ p105(sK63(X0))
& r1(X0,sK63(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
! [X0] :
( ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
| ~ p505(X0)
| ~ sP17(X0) ),
inference(rectify,[],[f140]) ).
fof(f140,plain,
! [X11] :
( ? [X48] :
( ~ p105(X48)
& r1(X11,X48) )
| ~ p505(X11)
| ~ sP17(X11) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X11] :
( ? [X48] :
( ~ p105(X48)
& r1(X11,X48) )
| ~ p505(X11)
| ~ sP17(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f4873,plain,
( p105(sK63(sK91))
| ~ spl98_378 ),
inference(avatar_component_clause,[],[f4871]) ).
fof(f4874,plain,
( ~ spl98_77
| ~ spl98_51
| spl98_378
| ~ spl98_53 ),
inference(avatar_split_clause,[],[f4695,f739,f4871,f728,f1057]) ).
fof(f4695,plain,
( p105(sK63(sK91))
| ~ p505(sK91)
| ~ sP17(sK91)
| ~ spl98_53 ),
inference(resolution,[],[f740,f343]) ).
fof(f343,plain,
! [X0] :
( r1(X0,sK63(X0))
| ~ p505(X0)
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f4835,plain,
( ~ spl98_184
| ~ spl98_30
| ~ spl98_370 ),
inference(avatar_split_clause,[],[f4829,f4825,f594,f1782]) ).
fof(f1782,plain,
( spl98_184
<=> sP30(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_184])]) ).
fof(f4825,plain,
( spl98_370
<=> p203(sK50(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_370])]) ).
fof(f4829,plain,
( ~ p303(sK91)
| ~ sP30(sK91)
| ~ spl98_370 ),
inference(resolution,[],[f4827,f318]) ).
fof(f318,plain,
! [X0] :
( ~ p203(sK50(X0))
| ~ p303(X0)
| ~ sP30(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ( ~ p203(sK50(X0))
& r1(X0,sK50(X0)) )
| ~ p303(X0)
| ~ sP30(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK50])],[f89,f90]) ).
fof(f90,plain,
! [X0] :
( ? [X1] :
( ~ p203(X1)
& r1(X0,X1) )
=> ( ~ p203(sK50(X0))
& r1(X0,sK50(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0] :
( ? [X1] :
( ~ p203(X1)
& r1(X0,X1) )
| ~ p303(X0)
| ~ sP30(X0) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X11] :
( ? [X23] :
( ~ p203(X23)
& r1(X11,X23) )
| ~ p303(X11)
| ~ sP30(X11) ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X11] :
( ? [X23] :
( ~ p203(X23)
& r1(X11,X23) )
| ~ p303(X11)
| ~ sP30(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f4827,plain,
( p203(sK50(sK91))
| ~ spl98_370 ),
inference(avatar_component_clause,[],[f4825]) ).
fof(f4828,plain,
( ~ spl98_184
| ~ spl98_30
| spl98_370
| ~ spl98_60 ),
inference(avatar_split_clause,[],[f4515,f823,f4825,f594,f1782]) ).
fof(f823,plain,
( spl98_60
<=> ! [X5] :
( p203(X5)
| ~ r1(sK91,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_60])]) ).
fof(f4515,plain,
( p203(sK50(sK91))
| ~ p303(sK91)
| ~ sP30(sK91)
| ~ spl98_60 ),
inference(resolution,[],[f824,f317]) ).
fof(f317,plain,
! [X0] :
( r1(X0,sK50(X0))
| ~ p303(X0)
| ~ sP30(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f824,plain,
( ! [X5] :
( ~ r1(sK91,X5)
| p203(X5) )
| ~ spl98_60 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f4818,plain,
( ~ spl98_124
| ~ spl98_125
| ~ spl98_53
| ~ spl98_194 ),
inference(avatar_split_clause,[],[f4777,f1907,f739,f1396,f1392]) ).
fof(f4777,plain,
( ~ p205(sK80(sK91))
| ~ sP5(sK91)
| ~ spl98_53
| ~ spl98_194 ),
inference(resolution,[],[f4669,f378]) ).
fof(f378,plain,
! [X0] :
( ~ p105(sK79(X0))
| ~ p205(sK80(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f4669,plain,
( p105(sK79(sK91))
| ~ spl98_53
| ~ spl98_194 ),
inference(resolution,[],[f740,f1909]) ).
fof(f1909,plain,
( r1(sK91,sK79(sK91))
| ~ spl98_194 ),
inference(avatar_component_clause,[],[f1907]) ).
fof(f4814,plain,
( ~ spl98_75
| ~ spl98_42
| ~ spl98_357 ),
inference(avatar_split_clause,[],[f4756,f4752,f682,f1047]) ).
fof(f1047,plain,
( spl98_75
<=> sP20(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_75])]) ).
fof(f4752,plain,
( spl98_357
<=> p304(sK60(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_357])]) ).
fof(f4756,plain,
( ~ p404(sK91)
| ~ sP20(sK91)
| ~ spl98_357 ),
inference(resolution,[],[f4754,f338]) ).
fof(f338,plain,
! [X0] :
( ~ p304(sK60(X0))
| ~ p404(X0)
| ~ sP20(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ( ~ p304(sK60(X0))
& r1(X0,sK60(X0)) )
| ~ p404(X0)
| ~ sP20(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK60])],[f129,f130]) ).
fof(f130,plain,
! [X0] :
( ? [X1] :
( ~ p304(X1)
& r1(X0,X1) )
=> ( ~ p304(sK60(X0))
& r1(X0,sK60(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
! [X0] :
( ? [X1] :
( ~ p304(X1)
& r1(X0,X1) )
| ~ p404(X0)
| ~ sP20(X0) ),
inference(rectify,[],[f128]) ).
fof(f128,plain,
! [X11] :
( ? [X39] :
( ~ p304(X39)
& r1(X11,X39) )
| ~ p404(X11)
| ~ sP20(X11) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X11] :
( ? [X39] :
( ~ p304(X39)
& r1(X11,X39) )
| ~ p404(X11)
| ~ sP20(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f4754,plain,
( p304(sK60(sK91))
| ~ spl98_357 ),
inference(avatar_component_clause,[],[f4752]) ).
fof(f4755,plain,
( ~ spl98_75
| ~ spl98_42
| spl98_357
| ~ spl98_12 ),
inference(avatar_split_clause,[],[f4627,f465,f4752,f682,f1047]) ).
fof(f4627,plain,
( p304(sK60(sK91))
| ~ p404(sK91)
| ~ sP20(sK91)
| ~ spl98_12 ),
inference(resolution,[],[f466,f337]) ).
fof(f337,plain,
! [X0] :
( r1(X0,sK60(X0))
| ~ p404(X0)
| ~ sP20(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f4602,plain,
( ~ spl98_104
| spl98_190
| spl98_105
| ~ spl98_60 ),
inference(avatar_split_clause,[],[f4537,f823,f1296,f1877,f1292]) ).
fof(f1292,plain,
( spl98_104
<=> sP9(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_104])]) ).
fof(f1877,plain,
( spl98_190
<=> r1(sK91,sK71(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_190])]) ).
fof(f1296,plain,
( spl98_105
<=> p203(sK72(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_105])]) ).
fof(f4537,plain,
( p203(sK72(sK91))
| r1(sK91,sK71(sK91))
| ~ sP9(sK91)
| ~ spl98_60 ),
inference(resolution,[],[f824,f359]) ).
fof(f359,plain,
! [X0] :
( r1(X0,sK72(X0))
| r1(X0,sK71(X0))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ( ~ p103(sK71(X0))
& r1(X0,sK71(X0)) )
| ( ~ p203(sK72(X0))
& r1(X0,sK72(X0)) )
| ~ sP9(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK71,sK72])],[f173,f175,f174]) ).
fof(f174,plain,
! [X0] :
( ? [X1] :
( ~ p103(X1)
& r1(X0,X1) )
=> ( ~ p103(sK71(X0))
& r1(X0,sK71(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f175,plain,
! [X0] :
( ? [X2] :
( ~ p203(X2)
& r1(X0,X2) )
=> ( ~ p203(sK72(X0))
& r1(X0,sK72(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
! [X0] :
( ? [X1] :
( ~ p103(X1)
& r1(X0,X1) )
| ? [X2] :
( ~ p203(X2)
& r1(X0,X2) )
| ~ sP9(X0) ),
inference(rectify,[],[f172]) ).
fof(f172,plain,
! [X11] :
( ? [X17] :
( ~ p103(X17)
& r1(X11,X17) )
| ? [X18] :
( ~ p203(X18)
& r1(X11,X18) )
| ~ sP9(X11) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X11] :
( ? [X17] :
( ~ p103(X17)
& r1(X11,X17) )
| ? [X18] :
( ~ p203(X18)
& r1(X11,X18) )
| ~ sP9(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f4576,plain,
( ~ spl98_104
| ~ spl98_105
| spl98_190 ),
inference(avatar_split_clause,[],[f4575,f1877,f1296,f1292]) ).
fof(f4575,plain,
( ~ p203(sK72(sK91))
| ~ sP9(sK91)
| spl98_190 ),
inference(resolution,[],[f1878,f360]) ).
fof(f360,plain,
! [X0] :
( r1(X0,sK71(X0))
| ~ p203(sK72(X0))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f1878,plain,
( ~ r1(sK91,sK71(sK91))
| spl98_190 ),
inference(avatar_component_clause,[],[f1877]) ).
fof(f4574,plain,
( ~ spl98_104
| ~ spl98_105
| ~ spl98_2
| ~ spl98_190 ),
inference(avatar_split_clause,[],[f4568,f1877,f425,f1296,f1292]) ).
fof(f425,plain,
( spl98_2
<=> ! [X2] :
( p103(X2)
| ~ r1(sK91,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_2])]) ).
fof(f4568,plain,
( ~ p203(sK72(sK91))
| ~ sP9(sK91)
| ~ spl98_2
| ~ spl98_190 ),
inference(resolution,[],[f4434,f362]) ).
fof(f362,plain,
! [X0] :
( ~ p103(sK71(X0))
| ~ p203(sK72(X0))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f4434,plain,
( p103(sK71(sK91))
| ~ spl98_2
| ~ spl98_190 ),
inference(resolution,[],[f426,f1879]) ).
fof(f1879,plain,
( r1(sK91,sK71(sK91))
| ~ spl98_190 ),
inference(avatar_component_clause,[],[f1877]) ).
fof(f426,plain,
( ! [X2] :
( ~ r1(sK91,X2)
| p103(X2) )
| ~ spl98_2 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f4433,plain,
( ~ spl98_55
| ~ spl98_39
| ~ spl98_33 ),
inference(avatar_split_clause,[],[f4416,f616,f662,f757]) ).
fof(f4416,plain,
( ~ p603(sK91)
| ~ sP40(sK91)
| ~ spl98_33 ),
inference(resolution,[],[f617,f255]) ).
fof(f255,plain,
! [X0] :
( ~ p403(X0)
| ~ p603(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f617,plain,
( p403(sK91)
| ~ spl98_33 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f4423,plain,
( ~ spl98_55
| ~ spl98_52
| ~ spl98_61 ),
inference(avatar_split_clause,[],[f4421,f826,f732,f757]) ).
fof(f732,plain,
( spl98_52
<=> p501(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_52])]) ).
fof(f4421,plain,
( ~ p501(sK91)
| ~ sP40(sK91)
| ~ spl98_61 ),
inference(resolution,[],[f828,f291]) ).
fof(f291,plain,
! [X0] :
( ~ p201(X0)
| ~ p501(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f4418,plain,
( ~ spl98_55
| ~ spl98_27
| ~ spl98_15 ),
inference(avatar_split_clause,[],[f4414,f480,f570,f757]) ).
fof(f570,plain,
( spl98_27
<=> p602(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_27])]) ).
fof(f4414,plain,
( ~ p602(sK91)
| ~ sP40(sK91)
| ~ spl98_15 ),
inference(resolution,[],[f481,f275]) ).
fof(f275,plain,
! [X0] :
( ~ p202(X0)
| ~ p602(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f4409,plain,
( ~ spl98_44
| ~ spl98_45
| ~ spl98_345 ),
inference(avatar_split_clause,[],[f4398,f4394,f698,f694]) ).
fof(f694,plain,
( spl98_44
<=> sP25(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_44])]) ).
fof(f4394,plain,
( spl98_345
<=> p104(sK55(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_345])]) ).
fof(f4398,plain,
( ~ p504(sK91)
| ~ sP25(sK91)
| ~ spl98_345 ),
inference(resolution,[],[f4396,f328]) ).
fof(f328,plain,
! [X0] :
( ~ p104(sK55(X0))
| ~ p504(X0)
| ~ sP25(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ( ~ p104(sK55(X0))
& r1(X0,sK55(X0)) )
| ~ p504(X0)
| ~ sP25(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK55])],[f109,f110]) ).
fof(f110,plain,
! [X0] :
( ? [X1] :
( ~ p104(X1)
& r1(X0,X1) )
=> ( ~ p104(sK55(X0))
& r1(X0,sK55(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
! [X0] :
( ? [X1] :
( ~ p104(X1)
& r1(X0,X1) )
| ~ p504(X0)
| ~ sP25(X0) ),
inference(rectify,[],[f108]) ).
fof(f108,plain,
! [X11] :
( ? [X32] :
( ~ p104(X32)
& r1(X11,X32) )
| ~ p504(X11)
| ~ sP25(X11) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X11] :
( ? [X32] :
( ~ p104(X32)
& r1(X11,X32) )
| ~ p504(X11)
| ~ sP25(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f4396,plain,
( p104(sK55(sK91))
| ~ spl98_345 ),
inference(avatar_component_clause,[],[f4394]) ).
fof(f4397,plain,
( ~ spl98_44
| ~ spl98_45
| spl98_345
| ~ spl98_4 ),
inference(avatar_split_clause,[],[f3633,f433,f4394,f698,f694]) ).
fof(f3633,plain,
( p104(sK55(sK91))
| ~ p504(sK91)
| ~ sP25(sK91)
| ~ spl98_4 ),
inference(resolution,[],[f434,f327]) ).
fof(f327,plain,
! [X0] :
( r1(X0,sK55(X0))
| ~ p504(X0)
| ~ sP25(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f4310,plain,
( ~ spl98_55
| ~ spl98_21
| ~ spl98_15 ),
inference(avatar_split_clause,[],[f4307,f480,f526,f757]) ).
fof(f4307,plain,
( ~ p402(sK91)
| ~ sP40(sK91)
| ~ spl98_15 ),
inference(resolution,[],[f481,f277]) ).
fof(f277,plain,
! [X0] :
( ~ p202(X0)
| ~ p402(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f4305,plain,
( ~ spl98_57
| ~ spl98_36
| ~ spl98_341 ),
inference(avatar_split_clause,[],[f4304,f4300,f638,f775]) ).
fof(f775,plain,
( spl98_57
<=> sP28(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_57])]) ).
fof(f4300,plain,
( spl98_341
<=> p203(sK52(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_341])]) ).
fof(f4304,plain,
( ~ p503(sK91)
| ~ sP28(sK91)
| ~ spl98_341 ),
inference(resolution,[],[f4302,f322]) ).
fof(f322,plain,
! [X0] :
( ~ p203(sK52(X0))
| ~ p503(X0)
| ~ sP28(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ( ~ p203(sK52(X0))
& r1(X0,sK52(X0)) )
| ~ p503(X0)
| ~ sP28(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK52])],[f97,f98]) ).
fof(f98,plain,
! [X0] :
( ? [X1] :
( ~ p203(X1)
& r1(X0,X1) )
=> ( ~ p203(sK52(X0))
& r1(X0,sK52(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X0] :
( ? [X1] :
( ~ p203(X1)
& r1(X0,X1) )
| ~ p503(X0)
| ~ sP28(X0) ),
inference(rectify,[],[f96]) ).
fof(f96,plain,
! [X11] :
( ? [X25] :
( ~ p203(X25)
& r1(X11,X25) )
| ~ p503(X11)
| ~ sP28(X11) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X11] :
( ? [X25] :
( ~ p203(X25)
& r1(X11,X25) )
| ~ p503(X11)
| ~ sP28(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f4302,plain,
( p203(sK52(sK91))
| ~ spl98_341 ),
inference(avatar_component_clause,[],[f4300]) ).
fof(f4303,plain,
( ~ spl98_57
| ~ spl98_36
| spl98_341
| ~ spl98_60 ),
inference(avatar_split_clause,[],[f4195,f823,f4300,f638,f775]) ).
fof(f4195,plain,
( p203(sK52(sK91))
| ~ p503(sK91)
| ~ sP28(sK91)
| ~ spl98_60 ),
inference(resolution,[],[f824,f321]) ).
fof(f321,plain,
! [X0] :
( r1(X0,sK52(X0))
| ~ p503(X0)
| ~ sP28(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f4280,plain,
( ~ spl98_47
| ~ spl98_48
| ~ spl98_334 ),
inference(avatar_split_clause,[],[f4264,f4260,f714,f710]) ).
fof(f710,plain,
( spl98_47
<=> sP24(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_47])]) ).
fof(f4260,plain,
( spl98_334
<=> p104(sK56(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_334])]) ).
fof(f4264,plain,
( ~ p604(sK91)
| ~ sP24(sK91)
| ~ spl98_334 ),
inference(resolution,[],[f4262,f330]) ).
fof(f330,plain,
! [X0] :
( ~ p104(sK56(X0))
| ~ p604(X0)
| ~ sP24(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ( ~ p104(sK56(X0))
& r1(X0,sK56(X0)) )
| ~ p604(X0)
| ~ sP24(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK56])],[f113,f114]) ).
fof(f114,plain,
! [X0] :
( ? [X1] :
( ~ p104(X1)
& r1(X0,X1) )
=> ( ~ p104(sK56(X0))
& r1(X0,sK56(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
! [X0] :
( ? [X1] :
( ~ p104(X1)
& r1(X0,X1) )
| ~ p604(X0)
| ~ sP24(X0) ),
inference(rectify,[],[f112]) ).
fof(f112,plain,
! [X11] :
( ? [X33] :
( ~ p104(X33)
& r1(X11,X33) )
| ~ p604(X11)
| ~ sP24(X11) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X11] :
( ? [X33] :
( ~ p104(X33)
& r1(X11,X33) )
| ~ p604(X11)
| ~ sP24(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f4262,plain,
( p104(sK56(sK91))
| ~ spl98_334 ),
inference(avatar_component_clause,[],[f4260]) ).
fof(f4263,plain,
( ~ spl98_47
| ~ spl98_48
| spl98_334
| ~ spl98_4 ),
inference(avatar_split_clause,[],[f3634,f433,f4260,f714,f710]) ).
fof(f3634,plain,
( p104(sK56(sK91))
| ~ p604(sK91)
| ~ sP24(sK91)
| ~ spl98_4 ),
inference(resolution,[],[f434,f329]) ).
fof(f329,plain,
! [X0] :
( r1(X0,sK56(X0))
| ~ p604(X0)
| ~ sP24(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f4177,plain,
( ~ spl98_55
| ~ spl98_69
| ~ spl98_61 ),
inference(avatar_split_clause,[],[f4174,f826,f1009,f757]) ).
fof(f1009,plain,
( spl98_69
<=> p401(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_69])]) ).
fof(f4174,plain,
( ~ p401(sK91)
| ~ sP40(sK91)
| ~ spl98_61 ),
inference(resolution,[],[f828,f292]) ).
fof(f292,plain,
! [X0] :
( ~ p201(X0)
| ~ p401(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f4172,plain,
( ~ spl98_59
| ~ spl98_39
| ~ spl98_330 ),
inference(avatar_split_clause,[],[f4171,f4167,f662,f802]) ).
fof(f802,plain,
( spl98_59
<=> sP27(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_59])]) ).
fof(f4167,plain,
( spl98_330
<=> p203(sK53(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_330])]) ).
fof(f4171,plain,
( ~ p603(sK91)
| ~ sP27(sK91)
| ~ spl98_330 ),
inference(resolution,[],[f4169,f324]) ).
fof(f324,plain,
! [X0] :
( ~ p203(sK53(X0))
| ~ p603(X0)
| ~ sP27(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ( ~ p203(sK53(X0))
& r1(X0,sK53(X0)) )
| ~ p603(X0)
| ~ sP27(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53])],[f101,f102]) ).
fof(f102,plain,
! [X0] :
( ? [X1] :
( ~ p203(X1)
& r1(X0,X1) )
=> ( ~ p203(sK53(X0))
& r1(X0,sK53(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
! [X0] :
( ? [X1] :
( ~ p203(X1)
& r1(X0,X1) )
| ~ p603(X0)
| ~ sP27(X0) ),
inference(rectify,[],[f100]) ).
fof(f100,plain,
! [X11] :
( ? [X26] :
( ~ p203(X26)
& r1(X11,X26) )
| ~ p603(X11)
| ~ sP27(X11) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X11] :
( ? [X26] :
( ~ p203(X26)
& r1(X11,X26) )
| ~ p603(X11)
| ~ sP27(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f4169,plain,
( p203(sK53(sK91))
| ~ spl98_330 ),
inference(avatar_component_clause,[],[f4167]) ).
fof(f4170,plain,
( ~ spl98_59
| ~ spl98_39
| spl98_330
| ~ spl98_60 ),
inference(avatar_split_clause,[],[f4038,f823,f4167,f662,f802]) ).
fof(f4038,plain,
( p203(sK53(sK91))
| ~ p603(sK91)
| ~ sP27(sK91)
| ~ spl98_60 ),
inference(resolution,[],[f824,f323]) ).
fof(f323,plain,
! [X0] :
( r1(X0,sK53(X0))
| ~ p603(X0)
| ~ sP27(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f4138,plain,
( ~ spl98_41
| ~ spl98_42
| ~ spl98_319 ),
inference(avatar_split_clause,[],[f4112,f4108,f682,f678]) ).
fof(f678,plain,
( spl98_41
<=> sP26(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_41])]) ).
fof(f4108,plain,
( spl98_319
<=> p104(sK54(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_319])]) ).
fof(f4112,plain,
( ~ p404(sK91)
| ~ sP26(sK91)
| ~ spl98_319 ),
inference(resolution,[],[f4110,f326]) ).
fof(f326,plain,
! [X0] :
( ~ p104(sK54(X0))
| ~ p404(X0)
| ~ sP26(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ( ~ p104(sK54(X0))
& r1(X0,sK54(X0)) )
| ~ p404(X0)
| ~ sP26(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54])],[f105,f106]) ).
fof(f106,plain,
! [X0] :
( ? [X1] :
( ~ p104(X1)
& r1(X0,X1) )
=> ( ~ p104(sK54(X0))
& r1(X0,sK54(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
! [X0] :
( ? [X1] :
( ~ p104(X1)
& r1(X0,X1) )
| ~ p404(X0)
| ~ sP26(X0) ),
inference(rectify,[],[f104]) ).
fof(f104,plain,
! [X11] :
( ? [X31] :
( ~ p104(X31)
& r1(X11,X31) )
| ~ p404(X11)
| ~ sP26(X11) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X11] :
( ? [X31] :
( ~ p104(X31)
& r1(X11,X31) )
| ~ p404(X11)
| ~ sP26(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f4110,plain,
( p104(sK54(sK91))
| ~ spl98_319 ),
inference(avatar_component_clause,[],[f4108]) ).
fof(f4111,plain,
( ~ spl98_41
| ~ spl98_42
| spl98_319
| ~ spl98_4 ),
inference(avatar_split_clause,[],[f3632,f433,f4108,f682,f678]) ).
fof(f3632,plain,
( p104(sK54(sK91))
| ~ p404(sK91)
| ~ sP26(sK91)
| ~ spl98_4 ),
inference(resolution,[],[f434,f325]) ).
fof(f325,plain,
! [X0] :
( r1(X0,sK54(X0))
| ~ p404(X0)
| ~ sP26(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f4020,plain,
( ~ spl98_139
| spl98_197
| spl98_140
| ~ spl98_62 ),
inference(avatar_split_clause,[],[f2681,f882,f1471,f1937,f1467]) ).
fof(f1467,plain,
( spl98_139
<=> sP2(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_139])]) ).
fof(f1937,plain,
( spl98_197
<=> r1(sK91,sK85(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_197])]) ).
fof(f1471,plain,
( spl98_140
<=> p305(sK86(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_140])]) ).
fof(f882,plain,
( spl98_62
<=> ! [X9] :
( p305(X9)
| ~ r1(sK91,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_62])]) ).
fof(f2681,plain,
( p305(sK86(sK91))
| r1(sK91,sK85(sK91))
| ~ sP2(sK91)
| ~ spl98_62 ),
inference(resolution,[],[f883,f387]) ).
fof(f387,plain,
! [X0] :
( r1(X0,sK86(X0))
| r1(X0,sK85(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0] :
( ( ~ p205(sK85(X0))
& r1(X0,sK85(X0)) )
| ( ~ p305(sK86(X0))
& r1(X0,sK86(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK85,sK86])],[f208,f210,f209]) ).
fof(f209,plain,
! [X0] :
( ? [X1] :
( ~ p205(X1)
& r1(X0,X1) )
=> ( ~ p205(sK85(X0))
& r1(X0,sK85(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f210,plain,
! [X0] :
( ? [X2] :
( ~ p305(X2)
& r1(X0,X2) )
=> ( ~ p305(sK86(X0))
& r1(X0,sK86(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f208,plain,
! [X0] :
( ? [X1] :
( ~ p205(X1)
& r1(X0,X1) )
| ? [X2] :
( ~ p305(X2)
& r1(X0,X2) )
| ~ sP2(X0) ),
inference(rectify,[],[f207]) ).
fof(f207,plain,
! [X11] :
( ? [X50] :
( ~ p205(X50)
& r1(X11,X50) )
| ? [X51] :
( ~ p305(X51)
& r1(X11,X51) )
| ~ sP2(X11) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X11] :
( ? [X50] :
( ~ p205(X50)
& r1(X11,X50) )
| ? [X51] :
( ~ p305(X51)
& r1(X11,X51) )
| ~ sP2(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f883,plain,
( ! [X9] :
( ~ r1(sK91,X9)
| p305(X9) )
| ~ spl98_62 ),
inference(avatar_component_clause,[],[f882]) ).
fof(f4014,plain,
( ~ spl98_124
| ~ spl98_127
| spl98_125
| ~ spl98_10 ),
inference(avatar_split_clause,[],[f3943,f457,f1396,f1408,f1392]) ).
fof(f1408,plain,
( spl98_127
<=> p105(sK79(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_127])]) ).
fof(f3943,plain,
( p205(sK80(sK91))
| ~ p105(sK79(sK91))
| ~ sP5(sK91)
| ~ spl98_10 ),
inference(resolution,[],[f458,f377]) ).
fof(f377,plain,
! [X0] :
( r1(X0,sK80(X0))
| ~ p105(sK79(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f3998,plain,
( ~ spl98_139
| ~ spl98_140
| spl98_197 ),
inference(avatar_split_clause,[],[f3992,f1937,f1471,f1467]) ).
fof(f3992,plain,
( ~ p305(sK86(sK91))
| ~ sP2(sK91)
| spl98_197 ),
inference(resolution,[],[f1938,f388]) ).
fof(f388,plain,
! [X0] :
( r1(X0,sK85(X0))
| ~ p305(sK86(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f1938,plain,
( ~ r1(sK91,sK85(sK91))
| spl98_197 ),
inference(avatar_component_clause,[],[f1937]) ).
fof(f3991,plain,
( ~ spl98_139
| ~ spl98_140
| ~ spl98_10
| ~ spl98_197 ),
inference(avatar_split_clause,[],[f3975,f1937,f457,f1471,f1467]) ).
fof(f3975,plain,
( ~ p305(sK86(sK91))
| ~ sP2(sK91)
| ~ spl98_10
| ~ spl98_197 ),
inference(resolution,[],[f3896,f390]) ).
fof(f390,plain,
! [X0] :
( ~ p205(sK85(X0))
| ~ p305(sK86(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f3896,plain,
( p205(sK85(sK91))
| ~ spl98_10
| ~ spl98_197 ),
inference(resolution,[],[f458,f1939]) ).
fof(f1939,plain,
( r1(sK91,sK85(sK91))
| ~ spl98_197 ),
inference(avatar_component_clause,[],[f1937]) ).
fof(f3980,plain,
( ~ spl98_139
| ~ spl98_142
| spl98_140
| ~ spl98_62 ),
inference(avatar_split_clause,[],[f2682,f882,f1471,f1483,f1467]) ).
fof(f1483,plain,
( spl98_142
<=> p205(sK85(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_142])]) ).
fof(f2682,plain,
( p305(sK86(sK91))
| ~ p205(sK85(sK91))
| ~ sP2(sK91)
| ~ spl98_62 ),
inference(resolution,[],[f883,f389]) ).
fof(f389,plain,
! [X0] :
( r1(X0,sK86(X0))
| ~ p205(sK85(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f3979,plain,
( ~ spl98_10
| spl98_147
| ~ spl98_198 ),
inference(avatar_contradiction_clause,[],[f3977]) ).
fof(f3977,plain,
( $false
| ~ spl98_10
| spl98_147
| ~ spl98_198 ),
inference(resolution,[],[f3897,f1510]) ).
fof(f1510,plain,
( ~ p205(sK87(sK91))
| spl98_147 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f3897,plain,
( p205(sK87(sK91))
| ~ spl98_10
| ~ spl98_198 ),
inference(resolution,[],[f458,f1949]) ).
fof(f1949,plain,
( r1(sK91,sK87(sK91))
| ~ spl98_198 ),
inference(avatar_component_clause,[],[f1947]) ).
fof(f3976,plain,
( ~ spl98_10
| spl98_142
| ~ spl98_197 ),
inference(avatar_contradiction_clause,[],[f3974]) ).
fof(f3974,plain,
( $false
| ~ spl98_10
| spl98_142
| ~ spl98_197 ),
inference(resolution,[],[f3896,f1485]) ).
fof(f1485,plain,
( ~ p205(sK85(sK91))
| spl98_142 ),
inference(avatar_component_clause,[],[f1483]) ).
fof(f3891,plain,
( ~ spl98_71
| ~ spl98_33
| ~ spl98_301 ),
inference(avatar_split_clause,[],[f3869,f3865,f616,f1023]) ).
fof(f1023,plain,
( spl98_71
<=> sP29(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_71])]) ).
fof(f3865,plain,
( spl98_301
<=> p203(sK51(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_301])]) ).
fof(f3869,plain,
( ~ p403(sK91)
| ~ sP29(sK91)
| ~ spl98_301 ),
inference(resolution,[],[f3867,f320]) ).
fof(f320,plain,
! [X0] :
( ~ p203(sK51(X0))
| ~ p403(X0)
| ~ sP29(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ( ~ p203(sK51(X0))
& r1(X0,sK51(X0)) )
| ~ p403(X0)
| ~ sP29(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51])],[f93,f94]) ).
fof(f94,plain,
! [X0] :
( ? [X1] :
( ~ p203(X1)
& r1(X0,X1) )
=> ( ~ p203(sK51(X0))
& r1(X0,sK51(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X0] :
( ? [X1] :
( ~ p203(X1)
& r1(X0,X1) )
| ~ p403(X0)
| ~ sP29(X0) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
! [X11] :
( ? [X24] :
( ~ p203(X24)
& r1(X11,X24) )
| ~ p403(X11)
| ~ sP29(X11) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X11] :
( ? [X24] :
( ~ p203(X24)
& r1(X11,X24) )
| ~ p403(X11)
| ~ sP29(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f3867,plain,
( p203(sK51(sK91))
| ~ spl98_301 ),
inference(avatar_component_clause,[],[f3865]) ).
fof(f3870,plain,
( ~ spl98_104
| ~ spl98_107
| spl98_105
| ~ spl98_60 ),
inference(avatar_split_clause,[],[f3831,f823,f1296,f1308,f1292]) ).
fof(f1308,plain,
( spl98_107
<=> p103(sK71(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_107])]) ).
fof(f3831,plain,
( p203(sK72(sK91))
| ~ p103(sK71(sK91))
| ~ sP9(sK91)
| ~ spl98_60 ),
inference(resolution,[],[f824,f361]) ).
fof(f361,plain,
! [X0] :
( r1(X0,sK72(X0))
| ~ p103(sK71(X0))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f3868,plain,
( ~ spl98_71
| ~ spl98_33
| spl98_301
| ~ spl98_60 ),
inference(avatar_split_clause,[],[f3809,f823,f3865,f616,f1023]) ).
fof(f3809,plain,
( p203(sK51(sK91))
| ~ p403(sK91)
| ~ sP29(sK91)
| ~ spl98_60 ),
inference(resolution,[],[f824,f319]) ).
fof(f319,plain,
! [X0] :
( r1(X0,sK51(X0))
| ~ p403(X0)
| ~ sP29(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f3791,plain,
( ~ spl98_55
| ~ spl98_24
| ~ spl98_15 ),
inference(avatar_split_clause,[],[f3774,f480,f548,f757]) ).
fof(f548,plain,
( spl98_24
<=> p502(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_24])]) ).
fof(f3774,plain,
( ~ p502(sK91)
| ~ sP40(sK91)
| ~ spl98_15 ),
inference(resolution,[],[f481,f276]) ).
fof(f276,plain,
! [X0] :
( ~ p202(X0)
| ~ p502(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f3771,plain,
( ~ spl98_55
| ~ spl98_50
| ~ spl98_61 ),
inference(avatar_split_clause,[],[f3770,f826,f723,f757]) ).
fof(f723,plain,
( spl98_50
<=> p601(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_50])]) ).
fof(f3770,plain,
( ~ p601(sK91)
| ~ sP40(sK91)
| ~ spl98_61 ),
inference(resolution,[],[f828,f290]) ).
fof(f290,plain,
! [X0] :
( ~ p201(X0)
| ~ p601(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f3611,plain,
( ~ spl98_23
| ~ spl98_24
| ~ spl98_285 ),
inference(avatar_split_clause,[],[f3574,f3570,f548,f544]) ).
fof(f544,plain,
( spl98_23
<=> sP36(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_23])]) ).
fof(f3570,plain,
( spl98_285
<=> p102(sK44(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_285])]) ).
fof(f3574,plain,
( ~ p502(sK91)
| ~ sP36(sK91)
| ~ spl98_285 ),
inference(resolution,[],[f3572,f306]) ).
fof(f306,plain,
! [X0] :
( ~ p102(sK44(X0))
| ~ p502(X0)
| ~ sP36(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ( ~ p102(sK44(X0))
& r1(X0,sK44(X0)) )
| ~ p502(X0)
| ~ sP36(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44])],[f65,f66]) ).
fof(f66,plain,
! [X0] :
( ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
=> ( ~ p102(sK44(X0))
& r1(X0,sK44(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X0] :
( ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
| ~ p502(X0)
| ~ sP36(X0) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X11] :
( ? [X15] :
( ~ p102(X15)
& r1(X11,X15) )
| ~ p502(X11)
| ~ sP36(X11) ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X11] :
( ? [X15] :
( ~ p102(X15)
& r1(X11,X15) )
| ~ p502(X11)
| ~ sP36(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f3572,plain,
( p102(sK44(sK91))
| ~ spl98_285 ),
inference(avatar_component_clause,[],[f3570]) ).
fof(f3573,plain,
( ~ spl98_23
| ~ spl98_24
| spl98_285
| ~ spl98_6 ),
inference(avatar_split_clause,[],[f3492,f441,f3570,f548,f544]) ).
fof(f3492,plain,
( p102(sK44(sK91))
| ~ p502(sK91)
| ~ sP36(sK91)
| ~ spl98_6 ),
inference(resolution,[],[f442,f305]) ).
fof(f305,plain,
! [X0] :
( r1(X0,sK44(X0))
| ~ p502(X0)
| ~ sP36(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f3480,plain,
( ~ spl98_55
| ~ spl98_50
| ~ spl98_54 ),
inference(avatar_split_clause,[],[f3473,f742,f723,f757]) ).
fof(f3473,plain,
( ~ p601(sK91)
| ~ sP40(sK91)
| ~ spl98_54 ),
inference(resolution,[],[f744,f294]) ).
fof(f294,plain,
! [X0] :
( ~ p101(X0)
| ~ p601(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f3478,plain,
( ~ spl98_55
| ~ spl98_52
| ~ spl98_54 ),
inference(avatar_split_clause,[],[f3472,f742,f732,f757]) ).
fof(f3472,plain,
( ~ p501(sK91)
| ~ sP40(sK91)
| ~ spl98_54 ),
inference(resolution,[],[f744,f295]) ).
fof(f295,plain,
! [X0] :
( ~ p101(X0)
| ~ p501(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f3476,plain,
( ~ spl98_55
| ~ spl98_36
| ~ spl98_33 ),
inference(avatar_split_clause,[],[f3474,f616,f638,f757]) ).
fof(f3474,plain,
( ~ p503(sK91)
| ~ sP40(sK91)
| ~ spl98_33 ),
inference(resolution,[],[f617,f256]) ).
fof(f256,plain,
! [X0] :
( ~ p403(X0)
| ~ p503(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f3468,plain,
( ~ spl98_109
| ~ spl98_112
| spl98_110
| ~ spl98_8 ),
inference(avatar_split_clause,[],[f864,f449,f1321,f1333,f1317]) ).
fof(f1317,plain,
( spl98_109
<=> sP8(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_109])]) ).
fof(f1333,plain,
( spl98_112
<=> p104(sK73(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_112])]) ).
fof(f1321,plain,
( spl98_110
<=> p204(sK74(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_110])]) ).
fof(f449,plain,
( spl98_8
<=> ! [X6] :
( p204(X6)
| ~ r1(sK91,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_8])]) ).
fof(f864,plain,
( p204(sK74(sK91))
| ~ p104(sK73(sK91))
| ~ sP8(sK91)
| ~ spl98_8 ),
inference(resolution,[],[f450,f365]) ).
fof(f365,plain,
! [X0] :
( r1(X0,sK74(X0))
| ~ p104(sK73(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0] :
( ( ~ p104(sK73(X0))
& r1(X0,sK73(X0)) )
| ( ~ p204(sK74(X0))
& r1(X0,sK74(X0)) )
| ~ sP8(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK73,sK74])],[f178,f180,f179]) ).
fof(f179,plain,
! [X0] :
( ? [X1] :
( ~ p104(X1)
& r1(X0,X1) )
=> ( ~ p104(sK73(X0))
& r1(X0,sK73(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f180,plain,
! [X0] :
( ? [X2] :
( ~ p204(X2)
& r1(X0,X2) )
=> ( ~ p204(sK74(X0))
& r1(X0,sK74(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f178,plain,
! [X0] :
( ? [X1] :
( ~ p104(X1)
& r1(X0,X1) )
| ? [X2] :
( ~ p204(X2)
& r1(X0,X2) )
| ~ sP8(X0) ),
inference(rectify,[],[f177]) ).
fof(f177,plain,
! [X11] :
( ? [X27] :
( ~ p104(X27)
& r1(X11,X27) )
| ? [X28] :
( ~ p204(X28)
& r1(X11,X28) )
| ~ sP8(X11) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X11] :
( ? [X27] :
( ~ p104(X27)
& r1(X11,X27) )
| ? [X28] :
( ~ p204(X28)
& r1(X11,X28) )
| ~ sP8(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f450,plain,
( ! [X6] :
( ~ r1(sK91,X6)
| p204(X6) )
| ~ spl98_8 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f3463,plain,
( ~ spl98_109
| ~ spl98_110
| ~ spl98_112 ),
inference(avatar_split_clause,[],[f3431,f1333,f1321,f1317]) ).
fof(f3431,plain,
( ~ p204(sK74(sK91))
| ~ sP8(sK91)
| ~ spl98_112 ),
inference(resolution,[],[f1334,f366]) ).
fof(f366,plain,
! [X0] :
( ~ p104(sK73(X0))
| ~ p204(sK74(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f1334,plain,
( p104(sK73(sK91))
| ~ spl98_112 ),
inference(avatar_component_clause,[],[f1333]) ).
fof(f3430,plain,
( ~ spl98_109
| ~ spl98_110
| spl98_112
| ~ spl98_4 ),
inference(avatar_split_clause,[],[f3393,f433,f1333,f1321,f1317]) ).
fof(f3393,plain,
( p104(sK73(sK91))
| ~ p204(sK74(sK91))
| ~ sP8(sK91)
| ~ spl98_4 ),
inference(resolution,[],[f434,f364]) ).
fof(f364,plain,
! [X0] :
( r1(X0,sK73(X0))
| ~ p204(sK74(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f3352,plain,
( ~ spl98_55
| ~ spl98_69
| ~ spl98_54 ),
inference(avatar_split_clause,[],[f3348,f742,f1009,f757]) ).
fof(f3348,plain,
( ~ p401(sK91)
| ~ sP40(sK91)
| ~ spl98_54 ),
inference(resolution,[],[f744,f296]) ).
fof(f296,plain,
! [X0] :
( ~ p101(X0)
| ~ p401(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f3351,plain,
( ~ spl98_55
| ~ spl98_61
| ~ spl98_54 ),
inference(avatar_split_clause,[],[f3346,f742,f826,f757]) ).
fof(f3346,plain,
( ~ p201(sK91)
| ~ sP40(sK91)
| ~ spl98_54 ),
inference(resolution,[],[f744,f298]) ).
fof(f298,plain,
! [X0] :
( ~ p101(X0)
| ~ p201(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f3344,plain,
( ~ spl98_4
| spl98_117
| ~ spl98_192 ),
inference(avatar_contradiction_clause,[],[f3342]) ).
fof(f3342,plain,
( $false
| ~ spl98_4
| spl98_117
| ~ spl98_192 ),
inference(resolution,[],[f3267,f1360]) ).
fof(f1360,plain,
( ~ p104(sK75(sK91))
| spl98_117 ),
inference(avatar_component_clause,[],[f1358]) ).
fof(f3267,plain,
( p104(sK75(sK91))
| ~ spl98_4
| ~ spl98_192 ),
inference(resolution,[],[f434,f1894]) ).
fof(f1894,plain,
( r1(sK91,sK75(sK91))
| ~ spl98_192 ),
inference(avatar_component_clause,[],[f1892]) ).
fof(f3341,plain,
( ~ spl98_4
| spl98_112
| ~ spl98_191 ),
inference(avatar_contradiction_clause,[],[f3339]) ).
fof(f3339,plain,
( $false
| ~ spl98_4
| spl98_112
| ~ spl98_191 ),
inference(resolution,[],[f3266,f1335]) ).
fof(f1335,plain,
( ~ p104(sK73(sK91))
| spl98_112 ),
inference(avatar_component_clause,[],[f1333]) ).
fof(f3266,plain,
( p104(sK73(sK91))
| ~ spl98_4
| ~ spl98_191 ),
inference(resolution,[],[f434,f1889]) ).
fof(f1889,plain,
( r1(sK91,sK73(sK91))
| ~ spl98_191 ),
inference(avatar_component_clause,[],[f1887]) ).
fof(f1887,plain,
( spl98_191
<=> r1(sK91,sK73(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_191])]) ).
fof(f3333,plain,
( ~ spl98_26
| ~ spl98_27
| ~ spl98_269 ),
inference(avatar_split_clause,[],[f3259,f3114,f570,f566]) ).
fof(f566,plain,
( spl98_26
<=> sP35(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_26])]) ).
fof(f3114,plain,
( spl98_269
<=> p102(sK45(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_269])]) ).
fof(f3259,plain,
( ~ p602(sK91)
| ~ sP35(sK91)
| ~ spl98_269 ),
inference(resolution,[],[f3116,f308]) ).
fof(f308,plain,
! [X0] :
( ~ p102(sK45(X0))
| ~ p602(X0)
| ~ sP35(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ( ~ p102(sK45(X0))
& r1(X0,sK45(X0)) )
| ~ p602(X0)
| ~ sP35(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK45])],[f69,f70]) ).
fof(f70,plain,
! [X0] :
( ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
=> ( ~ p102(sK45(X0))
& r1(X0,sK45(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0] :
( ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
| ~ p602(X0)
| ~ sP35(X0) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
! [X11] :
( ? [X16] :
( ~ p102(X16)
& r1(X11,X16) )
| ~ p602(X11)
| ~ sP35(X11) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X11] :
( ? [X16] :
( ~ p102(X16)
& r1(X11,X16) )
| ~ p602(X11)
| ~ sP35(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f3116,plain,
( p102(sK45(sK91))
| ~ spl98_269 ),
inference(avatar_component_clause,[],[f3114]) ).
fof(f3117,plain,
( ~ spl98_26
| ~ spl98_27
| spl98_269
| ~ spl98_6 ),
inference(avatar_split_clause,[],[f3057,f441,f3114,f570,f566]) ).
fof(f3057,plain,
( p102(sK45(sK91))
| ~ p602(sK91)
| ~ sP35(sK91)
| ~ spl98_6 ),
inference(resolution,[],[f442,f307]) ).
fof(f307,plain,
! [X0] :
( r1(X0,sK45(X0))
| ~ p602(X0)
| ~ sP35(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f2968,plain,
( ~ spl98_129
| ~ spl98_130
| spl98_195 ),
inference(avatar_split_clause,[],[f2957,f1917,f1421,f1417]) ).
fof(f1417,plain,
( spl98_129
<=> sP4(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_129])]) ).
fof(f1421,plain,
( spl98_130
<=> p305(sK82(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_130])]) ).
fof(f1917,plain,
( spl98_195
<=> r1(sK91,sK81(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_195])]) ).
fof(f2957,plain,
( ~ p305(sK82(sK91))
| ~ sP4(sK91)
| spl98_195 ),
inference(resolution,[],[f1918,f380]) ).
fof(f380,plain,
! [X0] :
( r1(X0,sK81(X0))
| ~ p305(sK82(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0] :
( ( ~ p105(sK81(X0))
& r1(X0,sK81(X0)) )
| ( ~ p305(sK82(X0))
& r1(X0,sK82(X0)) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK81,sK82])],[f198,f200,f199]) ).
fof(f199,plain,
! [X0] :
( ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
=> ( ~ p105(sK81(X0))
& r1(X0,sK81(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f200,plain,
! [X0] :
( ? [X2] :
( ~ p305(X2)
& r1(X0,X2) )
=> ( ~ p305(sK82(X0))
& r1(X0,sK82(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f198,plain,
! [X0] :
( ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
| ? [X2] :
( ~ p305(X2)
& r1(X0,X2) )
| ~ sP4(X0) ),
inference(rectify,[],[f197]) ).
fof(f197,plain,
! [X11] :
( ? [X44] :
( ~ p105(X44)
& r1(X11,X44) )
| ? [X45] :
( ~ p305(X45)
& r1(X11,X45) )
| ~ sP4(X11) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X11] :
( ? [X44] :
( ~ p105(X44)
& r1(X11,X44) )
| ? [X45] :
( ~ p305(X45)
& r1(X11,X45) )
| ~ sP4(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1918,plain,
( ~ r1(sK91,sK81(sK91))
| spl98_195 ),
inference(avatar_component_clause,[],[f1917]) ).
fof(f2956,plain,
( ~ spl98_129
| spl98_195
| spl98_130
| ~ spl98_62 ),
inference(avatar_split_clause,[],[f2675,f882,f1421,f1917,f1417]) ).
fof(f2675,plain,
( p305(sK82(sK91))
| r1(sK91,sK81(sK91))
| ~ sP4(sK91)
| ~ spl98_62 ),
inference(resolution,[],[f883,f379]) ).
fof(f379,plain,
! [X0] :
( r1(X0,sK82(X0))
| r1(X0,sK81(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f2935,plain,
( ~ spl98_129
| ~ spl98_130
| ~ spl98_53
| ~ spl98_195 ),
inference(avatar_split_clause,[],[f2904,f1917,f739,f1421,f1417]) ).
fof(f2904,plain,
( ~ p305(sK82(sK91))
| ~ sP4(sK91)
| ~ spl98_53
| ~ spl98_195 ),
inference(resolution,[],[f2794,f382]) ).
fof(f382,plain,
! [X0] :
( ~ p105(sK81(X0))
| ~ p305(sK82(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f2794,plain,
( p105(sK81(sK91))
| ~ spl98_53
| ~ spl98_195 ),
inference(resolution,[],[f740,f1919]) ).
fof(f1919,plain,
( r1(sK91,sK81(sK91))
| ~ spl98_195 ),
inference(avatar_component_clause,[],[f1917]) ).
fof(f2924,plain,
( ~ spl98_129
| ~ spl98_132
| spl98_130
| ~ spl98_62 ),
inference(avatar_split_clause,[],[f2676,f882,f1421,f1433,f1417]) ).
fof(f1433,plain,
( spl98_132
<=> p105(sK81(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_132])]) ).
fof(f2676,plain,
( p305(sK82(sK91))
| ~ p105(sK81(sK91))
| ~ sP4(sK91)
| ~ spl98_62 ),
inference(resolution,[],[f883,f381]) ).
fof(f381,plain,
! [X0] :
( r1(X0,sK82(X0))
| ~ p105(sK81(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f2908,plain,
( ~ spl98_53
| spl98_137
| ~ spl98_196 ),
inference(avatar_contradiction_clause,[],[f2906]) ).
fof(f2906,plain,
( $false
| ~ spl98_53
| spl98_137
| ~ spl98_196 ),
inference(resolution,[],[f2795,f1460]) ).
fof(f1460,plain,
( ~ p105(sK83(sK91))
| spl98_137 ),
inference(avatar_component_clause,[],[f1458]) ).
fof(f2795,plain,
( p105(sK83(sK91))
| ~ spl98_53
| ~ spl98_196 ),
inference(resolution,[],[f740,f1929]) ).
fof(f1929,plain,
( r1(sK91,sK83(sK91))
| ~ spl98_196 ),
inference(avatar_component_clause,[],[f1927]) ).
fof(f2905,plain,
( ~ spl98_53
| spl98_132
| ~ spl98_195 ),
inference(avatar_contradiction_clause,[],[f2903]) ).
fof(f2903,plain,
( $false
| ~ spl98_53
| spl98_132
| ~ spl98_195 ),
inference(resolution,[],[f2794,f1435]) ).
fof(f1435,plain,
( ~ p105(sK81(sK91))
| spl98_132 ),
inference(avatar_component_clause,[],[f1433]) ).
fof(f2902,plain,
( ~ spl98_53
| spl98_127
| ~ spl98_194 ),
inference(avatar_contradiction_clause,[],[f2900]) ).
fof(f2900,plain,
( $false
| ~ spl98_53
| spl98_127
| ~ spl98_194 ),
inference(resolution,[],[f2793,f1410]) ).
fof(f1410,plain,
( ~ p105(sK79(sK91))
| spl98_127 ),
inference(avatar_component_clause,[],[f1408]) ).
fof(f2793,plain,
( p105(sK79(sK91))
| ~ spl98_53
| ~ spl98_194 ),
inference(resolution,[],[f740,f1909]) ).
fof(f2787,plain,
( ~ spl98_149
| spl98_199
| spl98_150
| ~ spl98_68 ),
inference(avatar_split_clause,[],[f2756,f1006,f1521,f1957,f1517]) ).
fof(f1517,plain,
( spl98_149
<=> sP0(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_149])]) ).
fof(f1957,plain,
( spl98_199
<=> r1(sK91,sK89(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_199])]) ).
fof(f1521,plain,
( spl98_150
<=> p405(sK90(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_150])]) ).
fof(f2756,plain,
( p405(sK90(sK91))
| r1(sK91,sK89(sK91))
| ~ sP0(sK91)
| ~ spl98_68 ),
inference(resolution,[],[f1007,f395]) ).
fof(f395,plain,
! [X0] :
( r1(X0,sK90(X0))
| r1(X0,sK89(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0] :
( ( ~ p305(sK89(X0))
& r1(X0,sK89(X0)) )
| ( ~ p405(sK90(X0))
& r1(X0,sK90(X0)) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK89,sK90])],[f218,f220,f219]) ).
fof(f219,plain,
! [X0] :
( ? [X1] :
( ~ p305(X1)
& r1(X0,X1) )
=> ( ~ p305(sK89(X0))
& r1(X0,sK89(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f220,plain,
! [X0] :
( ? [X2] :
( ~ p405(X2)
& r1(X0,X2) )
=> ( ~ p405(sK90(X0))
& r1(X0,sK90(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f218,plain,
! [X0] :
( ? [X1] :
( ~ p305(X1)
& r1(X0,X1) )
| ? [X2] :
( ~ p405(X2)
& r1(X0,X2) )
| ~ sP0(X0) ),
inference(rectify,[],[f217]) ).
fof(f217,plain,
! [X11] :
( ? [X56] :
( ~ p305(X56)
& r1(X11,X56) )
| ? [X57] :
( ~ p405(X57)
& r1(X11,X57) )
| ~ sP0(X11) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X11] :
( ? [X56] :
( ~ p305(X56)
& r1(X11,X56) )
| ? [X57] :
( ~ p405(X57)
& r1(X11,X57) )
| ~ sP0(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f2786,plain,
( ~ spl98_149
| ~ spl98_150
| spl98_199 ),
inference(avatar_split_clause,[],[f2758,f1957,f1521,f1517]) ).
fof(f2758,plain,
( ~ p405(sK90(sK91))
| ~ sP0(sK91)
| spl98_199 ),
inference(resolution,[],[f1958,f396]) ).
fof(f396,plain,
! [X0] :
( r1(X0,sK89(X0))
| ~ p405(sK90(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f1958,plain,
( ~ r1(sK91,sK89(sK91))
| spl98_199 ),
inference(avatar_component_clause,[],[f1957]) ).
fof(f2619,plain,
( ~ spl98_55
| ~ spl98_24
| ~ spl98_18 ),
inference(avatar_split_clause,[],[f2611,f502,f548,f757]) ).
fof(f2611,plain,
( ~ p502(sK91)
| ~ sP40(sK91)
| ~ spl98_18 ),
inference(resolution,[],[f503,f273]) ).
fof(f273,plain,
! [X0] :
( ~ p302(X0)
| ~ p502(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f503,plain,
( p302(sK91)
| ~ spl98_18 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f2607,plain,
( ~ spl98_119
| ~ spl98_120
| ~ spl98_122 ),
inference(avatar_split_clause,[],[f2605,f1383,f1371,f1367]) ).
fof(f1367,plain,
( spl98_119
<=> sP6(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_119])]) ).
fof(f1371,plain,
( spl98_120
<=> p304(sK78(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_120])]) ).
fof(f1383,plain,
( spl98_122
<=> p204(sK77(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_122])]) ).
fof(f2605,plain,
( ~ p304(sK78(sK91))
| ~ sP6(sK91)
| ~ spl98_122 ),
inference(resolution,[],[f1384,f374]) ).
fof(f374,plain,
! [X0] :
( ~ p204(sK77(X0))
| ~ p304(sK78(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0] :
( ( ~ p204(sK77(X0))
& r1(X0,sK77(X0)) )
| ( ~ p304(sK78(X0))
& r1(X0,sK78(X0)) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK77,sK78])],[f188,f190,f189]) ).
fof(f189,plain,
! [X0] :
( ? [X1] :
( ~ p204(X1)
& r1(X0,X1) )
=> ( ~ p204(sK77(X0))
& r1(X0,sK77(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f190,plain,
! [X0] :
( ? [X2] :
( ~ p304(X2)
& r1(X0,X2) )
=> ( ~ p304(sK78(X0))
& r1(X0,sK78(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f188,plain,
! [X0] :
( ? [X1] :
( ~ p204(X1)
& r1(X0,X1) )
| ? [X2] :
( ~ p304(X2)
& r1(X0,X2) )
| ~ sP6(X0) ),
inference(rectify,[],[f187]) ).
fof(f187,plain,
! [X11] :
( ? [X34] :
( ~ p204(X34)
& r1(X11,X34) )
| ? [X35] :
( ~ p304(X35)
& r1(X11,X35) )
| ~ sP6(X11) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X11] :
( ? [X34] :
( ~ p204(X34)
& r1(X11,X34) )
| ? [X35] :
( ~ p304(X35)
& r1(X11,X35) )
| ~ sP6(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f1384,plain,
( p204(sK77(sK91))
| ~ spl98_122 ),
inference(avatar_component_clause,[],[f1383]) ).
fof(f2604,plain,
( ~ spl98_119
| ~ spl98_120
| ~ spl98_8
| ~ spl98_193 ),
inference(avatar_split_clause,[],[f2602,f1897,f449,f1371,f1367]) ).
fof(f1897,plain,
( spl98_193
<=> r1(sK91,sK77(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_193])]) ).
fof(f2602,plain,
( ~ p304(sK78(sK91))
| ~ sP6(sK91)
| ~ spl98_8
| ~ spl98_193 ),
inference(resolution,[],[f2599,f374]) ).
fof(f2599,plain,
( p204(sK77(sK91))
| ~ spl98_8
| ~ spl98_193 ),
inference(resolution,[],[f1899,f450]) ).
fof(f1899,plain,
( r1(sK91,sK77(sK91))
| ~ spl98_193 ),
inference(avatar_component_clause,[],[f1897]) ).
fof(f2603,plain,
( ~ spl98_119
| ~ spl98_122
| spl98_120
| ~ spl98_12 ),
inference(avatar_split_clause,[],[f2573,f465,f1371,f1383,f1367]) ).
fof(f2573,plain,
( p304(sK78(sK91))
| ~ p204(sK77(sK91))
| ~ sP6(sK91)
| ~ spl98_12 ),
inference(resolution,[],[f466,f373]) ).
fof(f373,plain,
! [X0] :
( r1(X0,sK78(X0))
| ~ p204(sK77(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f2597,plain,
( ~ spl98_119
| ~ spl98_120
| spl98_122
| ~ spl98_8 ),
inference(avatar_split_clause,[],[f867,f449,f1383,f1371,f1367]) ).
fof(f867,plain,
( p204(sK77(sK91))
| ~ p304(sK78(sK91))
| ~ sP6(sK91)
| ~ spl98_8 ),
inference(resolution,[],[f450,f372]) ).
fof(f372,plain,
! [X0] :
( r1(X0,sK77(X0))
| ~ p304(sK78(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f2521,plain,
( ~ spl98_29
| ~ spl98_30
| ~ spl98_242 ),
inference(avatar_split_clause,[],[f2520,f2516,f594,f590]) ).
fof(f590,plain,
( spl98_29
<=> sP34(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_29])]) ).
fof(f2516,plain,
( spl98_242
<=> p103(sK46(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_242])]) ).
fof(f2520,plain,
( ~ p303(sK91)
| ~ sP34(sK91)
| ~ spl98_242 ),
inference(resolution,[],[f2518,f310]) ).
fof(f310,plain,
! [X0] :
( ~ p103(sK46(X0))
| ~ p303(X0)
| ~ sP34(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ( ~ p103(sK46(X0))
& r1(X0,sK46(X0)) )
| ~ p303(X0)
| ~ sP34(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46])],[f73,f74]) ).
fof(f74,plain,
! [X0] :
( ? [X1] :
( ~ p103(X1)
& r1(X0,X1) )
=> ( ~ p103(sK46(X0))
& r1(X0,sK46(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X0] :
( ? [X1] :
( ~ p103(X1)
& r1(X0,X1) )
| ~ p303(X0)
| ~ sP34(X0) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X11] :
( ? [X19] :
( ~ p103(X19)
& r1(X11,X19) )
| ~ p303(X11)
| ~ sP34(X11) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X11] :
( ? [X19] :
( ~ p103(X19)
& r1(X11,X19) )
| ~ p303(X11)
| ~ sP34(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f2518,plain,
( p103(sK46(sK91))
| ~ spl98_242 ),
inference(avatar_component_clause,[],[f2516]) ).
fof(f2519,plain,
( spl98_242
| ~ spl98_29
| ~ spl98_30
| ~ spl98_2 ),
inference(avatar_split_clause,[],[f509,f425,f594,f590,f2516]) ).
fof(f509,plain,
( ~ p303(sK91)
| ~ sP34(sK91)
| p103(sK46(sK91))
| ~ spl98_2 ),
inference(resolution,[],[f309,f426]) ).
fof(f309,plain,
! [X0] :
( r1(X0,sK46(X0))
| ~ p303(X0)
| ~ sP34(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f2511,plain,
( ~ spl98_55
| ~ spl98_21
| ~ spl98_18 ),
inference(avatar_split_clause,[],[f2508,f502,f526,f757]) ).
fof(f2508,plain,
( ~ p402(sK91)
| ~ sP40(sK91)
| ~ spl98_18 ),
inference(resolution,[],[f503,f274]) ).
fof(f274,plain,
! [X0] :
( ~ p302(X0)
| ~ p402(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f2507,plain,
( ~ spl98_55
| ~ spl98_52
| ~ spl98_63 ),
inference(avatar_split_clause,[],[f2505,f885,f732,f757]) ).
fof(f2505,plain,
( ~ p501(sK91)
| ~ sP40(sK91)
| ~ spl98_63 ),
inference(resolution,[],[f887,f288]) ).
fof(f288,plain,
! [X0] :
( ~ p301(X0)
| ~ p501(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f887,plain,
( p301(sK91)
| ~ spl98_63 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f2503,plain,
( ~ spl98_96
| ~ spl98_49
| ~ spl98_241 ),
inference(avatar_split_clause,[],[f2502,f2498,f719,f1242]) ).
fof(f1242,plain,
( spl98_96
<=> sP12(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_96])]) ).
fof(f2498,plain,
( spl98_241
<=> p305(sK68(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_241])]) ).
fof(f2502,plain,
( ~ p605(sK91)
| ~ sP12(sK91)
| ~ spl98_241 ),
inference(resolution,[],[f2500,f354]) ).
fof(f354,plain,
! [X0] :
( ~ p305(sK68(X0))
| ~ p605(X0)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ( ~ p305(sK68(X0))
& r1(X0,sK68(X0)) )
| ~ p605(X0)
| ~ sP12(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK68])],[f161,f162]) ).
fof(f162,plain,
! [X0] :
( ? [X1] :
( ~ p305(X1)
& r1(X0,X1) )
=> ( ~ p305(sK68(X0))
& r1(X0,sK68(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f161,plain,
! [X0] :
( ? [X1] :
( ~ p305(X1)
& r1(X0,X1) )
| ~ p605(X0)
| ~ sP12(X0) ),
inference(rectify,[],[f160]) ).
fof(f160,plain,
! [X11] :
( ? [X59] :
( ~ p305(X59)
& r1(X11,X59) )
| ~ p605(X11)
| ~ sP12(X11) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X11] :
( ? [X59] :
( ~ p305(X59)
& r1(X11,X59) )
| ~ p605(X11)
| ~ sP12(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f2500,plain,
( p305(sK68(sK91))
| ~ spl98_241 ),
inference(avatar_component_clause,[],[f2498]) ).
fof(f2501,plain,
( ~ spl98_96
| ~ spl98_49
| spl98_241
| ~ spl98_62 ),
inference(avatar_split_clause,[],[f2325,f882,f2498,f719,f1242]) ).
fof(f2325,plain,
( p305(sK68(sK91))
| ~ p605(sK91)
| ~ sP12(sK91)
| ~ spl98_62 ),
inference(resolution,[],[f883,f353]) ).
fof(f353,plain,
! [X0] :
( r1(X0,sK68(X0))
| ~ p605(X0)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f2479,plain,
( ~ spl98_55
| ~ spl98_52
| ~ spl98_69 ),
inference(avatar_split_clause,[],[f2431,f1009,f732,f757]) ).
fof(f2431,plain,
( ~ p501(sK91)
| ~ sP40(sK91)
| ~ spl98_69 ),
inference(resolution,[],[f1011,f286]) ).
fof(f286,plain,
! [X0] :
( ~ p401(X0)
| ~ p501(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1011,plain,
( p401(sK91)
| ~ spl98_69 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f2477,plain,
( ~ spl98_92
| ~ spl98_51
| ~ spl98_236 ),
inference(avatar_split_clause,[],[f2471,f2467,f728,f1217]) ).
fof(f1217,plain,
( spl98_92
<=> sP13(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_92])]) ).
fof(f2467,plain,
( spl98_236
<=> p305(sK67(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_236])]) ).
fof(f2471,plain,
( ~ p505(sK91)
| ~ sP13(sK91)
| ~ spl98_236 ),
inference(resolution,[],[f2469,f352]) ).
fof(f352,plain,
! [X0] :
( ~ p305(sK67(X0))
| ~ p505(X0)
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ( ~ p305(sK67(X0))
& r1(X0,sK67(X0)) )
| ~ p505(X0)
| ~ sP13(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK67])],[f157,f158]) ).
fof(f158,plain,
! [X0] :
( ? [X1] :
( ~ p305(X1)
& r1(X0,X1) )
=> ( ~ p305(sK67(X0))
& r1(X0,sK67(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
! [X0] :
( ? [X1] :
( ~ p305(X1)
& r1(X0,X1) )
| ~ p505(X0)
| ~ sP13(X0) ),
inference(rectify,[],[f156]) ).
fof(f156,plain,
! [X11] :
( ? [X58] :
( ~ p305(X58)
& r1(X11,X58) )
| ~ p505(X11)
| ~ sP13(X11) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X11] :
( ? [X58] :
( ~ p305(X58)
& r1(X11,X58) )
| ~ p505(X11)
| ~ sP13(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f2469,plain,
( p305(sK67(sK91))
| ~ spl98_236 ),
inference(avatar_component_clause,[],[f2467]) ).
fof(f2470,plain,
( ~ spl98_92
| ~ spl98_51
| spl98_236
| ~ spl98_62 ),
inference(avatar_split_clause,[],[f2324,f882,f2467,f728,f1217]) ).
fof(f2324,plain,
( p305(sK67(sK91))
| ~ p505(sK91)
| ~ sP13(sK91)
| ~ spl98_62 ),
inference(resolution,[],[f883,f351]) ).
fof(f351,plain,
! [X0] :
( r1(X0,sK67(X0))
| ~ p505(X0)
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f2434,plain,
( ~ spl98_55
| ~ spl98_50
| ~ spl98_69 ),
inference(avatar_split_clause,[],[f2432,f1009,f723,f757]) ).
fof(f2432,plain,
( ~ p601(sK91)
| ~ sP40(sK91)
| ~ spl98_69 ),
inference(resolution,[],[f1011,f285]) ).
fof(f285,plain,
! [X0] :
( ~ p401(X0)
| ~ p601(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f2414,plain,
( ~ spl98_67
| ~ spl98_48
| ~ spl98_223 ),
inference(avatar_split_clause,[],[f2396,f2392,f714,f990]) ).
fof(f990,plain,
( spl98_67
<=> sP21(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_67])]) ).
fof(f2392,plain,
( spl98_223
<=> p204(sK59(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_223])]) ).
fof(f2396,plain,
( ~ p604(sK91)
| ~ sP21(sK91)
| ~ spl98_223 ),
inference(resolution,[],[f2394,f336]) ).
fof(f336,plain,
! [X0] :
( ~ p204(sK59(X0))
| ~ p604(X0)
| ~ sP21(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ( ~ p204(sK59(X0))
& r1(X0,sK59(X0)) )
| ~ p604(X0)
| ~ sP21(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK59])],[f125,f126]) ).
fof(f126,plain,
! [X0] :
( ? [X1] :
( ~ p204(X1)
& r1(X0,X1) )
=> ( ~ p204(sK59(X0))
& r1(X0,sK59(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X0] :
( ? [X1] :
( ~ p204(X1)
& r1(X0,X1) )
| ~ p604(X0)
| ~ sP21(X0) ),
inference(rectify,[],[f124]) ).
fof(f124,plain,
! [X11] :
( ? [X38] :
( ~ p204(X38)
& r1(X11,X38) )
| ~ p604(X11)
| ~ sP21(X11) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X11] :
( ? [X38] :
( ~ p204(X38)
& r1(X11,X38) )
| ~ p604(X11)
| ~ sP21(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f2394,plain,
( p204(sK59(sK91))
| ~ spl98_223 ),
inference(avatar_component_clause,[],[f2392]) ).
fof(f2395,plain,
( ~ spl98_67
| ~ spl98_48
| spl98_223
| ~ spl98_8 ),
inference(avatar_split_clause,[],[f849,f449,f2392,f714,f990]) ).
fof(f849,plain,
( p204(sK59(sK91))
| ~ p604(sK91)
| ~ sP21(sK91)
| ~ spl98_8 ),
inference(resolution,[],[f450,f335]) ).
fof(f335,plain,
! [X0] :
( r1(X0,sK59(X0))
| ~ p604(X0)
| ~ sP21(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f2382,plain,
( ~ spl98_149
| ~ spl98_150
| ~ spl98_62
| ~ spl98_199 ),
inference(avatar_split_clause,[],[f2369,f1957,f882,f1521,f1517]) ).
fof(f2369,plain,
( ~ p405(sK90(sK91))
| ~ sP0(sK91)
| ~ spl98_62
| ~ spl98_199 ),
inference(resolution,[],[f2296,f398]) ).
fof(f398,plain,
! [X0] :
( ~ p305(sK89(X0))
| ~ p405(sK90(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f2296,plain,
( p305(sK89(sK91))
| ~ spl98_62
| ~ spl98_199 ),
inference(resolution,[],[f883,f1959]) ).
fof(f1959,plain,
( r1(sK91,sK89(sK91))
| ~ spl98_199 ),
inference(avatar_component_clause,[],[f1957]) ).
fof(f2381,plain,
( ~ spl98_149
| ~ spl98_152
| spl98_150
| ~ spl98_68 ),
inference(avatar_split_clause,[],[f1697,f1006,f1521,f1533,f1517]) ).
fof(f1533,plain,
( spl98_152
<=> p305(sK89(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_152])]) ).
fof(f1697,plain,
( p405(sK90(sK91))
| ~ p305(sK89(sK91))
| ~ sP0(sK91)
| ~ spl98_68 ),
inference(resolution,[],[f1007,f397]) ).
fof(f397,plain,
! [X0] :
( r1(X0,sK90(X0))
| ~ p305(sK89(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f2370,plain,
( ~ spl98_62
| spl98_152
| ~ spl98_199 ),
inference(avatar_contradiction_clause,[],[f2368]) ).
fof(f2368,plain,
( $false
| ~ spl98_62
| spl98_152
| ~ spl98_199 ),
inference(resolution,[],[f2296,f1535]) ).
fof(f1535,plain,
( ~ p305(sK89(sK91))
| spl98_152 ),
inference(avatar_component_clause,[],[f1533]) ).
fof(f2283,plain,
( ~ spl98_119
| spl98_193
| spl98_120
| ~ spl98_12 ),
inference(avatar_split_clause,[],[f2263,f465,f1371,f1897,f1367]) ).
fof(f2263,plain,
( p304(sK78(sK91))
| r1(sK91,sK77(sK91))
| ~ sP6(sK91)
| ~ spl98_12 ),
inference(resolution,[],[f466,f371]) ).
fof(f371,plain,
! [X0] :
( r1(X0,sK78(X0))
| r1(X0,sK77(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f2213,plain,
( ~ spl98_55
| ~ spl98_50
| ~ spl98_63 ),
inference(avatar_split_clause,[],[f2211,f885,f723,f757]) ).
fof(f2211,plain,
( ~ p601(sK91)
| ~ sP40(sK91)
| ~ spl98_63 ),
inference(resolution,[],[f887,f287]) ).
fof(f287,plain,
! [X0] :
( ~ p301(X0)
| ~ p601(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f2212,plain,
( ~ spl98_55
| ~ spl98_69
| ~ spl98_63 ),
inference(avatar_split_clause,[],[f2209,f885,f1009,f757]) ).
fof(f2209,plain,
( ~ p401(sK91)
| ~ sP40(sK91)
| ~ spl98_63 ),
inference(resolution,[],[f887,f289]) ).
fof(f289,plain,
! [X0] :
( ~ p301(X0)
| ~ p401(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1992,plain,
( spl98_110
| ~ spl98_109
| spl98_191
| ~ spl98_8 ),
inference(avatar_split_clause,[],[f954,f449,f1887,f1317,f1321]) ).
fof(f954,plain,
( r1(sK91,sK73(sK91))
| ~ sP8(sK91)
| p204(sK74(sK91))
| ~ spl98_8 ),
inference(resolution,[],[f363,f450]) ).
fof(f363,plain,
! [X0] :
( r1(X0,sK74(X0))
| r1(X0,sK73(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f1981,plain,
( ~ spl98_8
| spl98_122
| ~ spl98_193 ),
inference(avatar_contradiction_clause,[],[f1979]) ).
fof(f1979,plain,
( $false
| ~ spl98_8
| spl98_122
| ~ spl98_193 ),
inference(resolution,[],[f1903,f1385]) ).
fof(f1385,plain,
( ~ p204(sK77(sK91))
| spl98_122 ),
inference(avatar_component_clause,[],[f1383]) ).
fof(f1903,plain,
( p204(sK77(sK91))
| ~ spl98_8
| ~ spl98_193 ),
inference(resolution,[],[f1899,f450]) ).
fof(f1968,plain,
( ~ spl98_2
| spl98_107
| ~ spl98_190 ),
inference(avatar_contradiction_clause,[],[f1966]) ).
fof(f1966,plain,
( $false
| ~ spl98_2
| spl98_107
| ~ spl98_190 ),
inference(resolution,[],[f1884,f1310]) ).
fof(f1310,plain,
( ~ p103(sK71(sK91))
| spl98_107 ),
inference(avatar_component_clause,[],[f1308]) ).
fof(f1884,plain,
( p103(sK71(sK91))
| ~ spl98_2
| ~ spl98_190 ),
inference(resolution,[],[f1879,f426]) ).
fof(f1788,plain,
spl98_184,
inference(avatar_contradiction_clause,[],[f1787]) ).
fof(f1787,plain,
( $false
| spl98_184 ),
inference(resolution,[],[f1786,f419]) ).
fof(f419,plain,
sP40(sK91),
inference(resolution,[],[f399,f406]) ).
fof(f406,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f399,plain,
! [X11] :
( ~ r1(sK91,X11)
| sP40(X11) ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
( ( p101(sK91)
| ! [X1] :
( p102(X1)
| ~ r1(sK91,X1) )
| ! [X2] :
( p103(X2)
| ~ r1(sK91,X2) )
| ! [X3] :
( p104(X3)
| ~ r1(sK91,X3) )
| ! [X4] :
( p105(X4)
| ~ r1(sK91,X4) ) )
& ( p201(sK91)
| p202(sK91)
| ! [X5] :
( p203(X5)
| ~ r1(sK91,X5) )
| ! [X6] :
( p204(X6)
| ~ r1(sK91,X6) )
| ! [X7] :
( p205(X7)
| ~ r1(sK91,X7) ) )
& ( p301(sK91)
| p302(sK91)
| p303(sK91)
| ! [X8] :
( p304(X8)
| ~ r1(sK91,X8) )
| ! [X9] :
( p305(X9)
| ~ r1(sK91,X9) ) )
& ( p401(sK91)
| p402(sK91)
| p403(sK91)
| p404(sK91)
| ! [X10] :
( p405(X10)
| ~ r1(sK91,X10) ) )
& ( p501(sK91)
| p502(sK91)
| p503(sK91)
| p504(sK91)
| p505(sK91) )
& ( p601(sK91)
| p602(sK91)
| p603(sK91)
| p604(sK91)
| p605(sK91) )
& ! [X11] :
( sP40(X11)
| ~ r1(sK91,X11) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK91])],[f49,f222]) ).
fof(f222,plain,
( ? [X0] :
( ( p101(X0)
| ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
| ! [X2] :
( p103(X2)
| ~ r1(X0,X2) )
| ! [X3] :
( p104(X3)
| ~ r1(X0,X3) )
| ! [X4] :
( p105(X4)
| ~ r1(X0,X4) ) )
& ( p201(X0)
| p202(X0)
| ! [X5] :
( p203(X5)
| ~ r1(X0,X5) )
| ! [X6] :
( p204(X6)
| ~ r1(X0,X6) )
| ! [X7] :
( p205(X7)
| ~ r1(X0,X7) ) )
& ( p301(X0)
| p302(X0)
| p303(X0)
| ! [X8] :
( p304(X8)
| ~ r1(X0,X8) )
| ! [X9] :
( p305(X9)
| ~ r1(X0,X9) ) )
& ( p401(X0)
| p402(X0)
| p403(X0)
| p404(X0)
| ! [X10] :
( p405(X10)
| ~ r1(X0,X10) ) )
& ( p501(X0)
| p502(X0)
| p503(X0)
| p504(X0)
| p505(X0) )
& ( p601(X0)
| p602(X0)
| p603(X0)
| p604(X0)
| p605(X0) )
& ! [X11] :
( sP40(X11)
| ~ r1(X0,X11) ) )
=> ( ( p101(sK91)
| ! [X1] :
( p102(X1)
| ~ r1(sK91,X1) )
| ! [X2] :
( p103(X2)
| ~ r1(sK91,X2) )
| ! [X3] :
( p104(X3)
| ~ r1(sK91,X3) )
| ! [X4] :
( p105(X4)
| ~ r1(sK91,X4) ) )
& ( p201(sK91)
| p202(sK91)
| ! [X5] :
( p203(X5)
| ~ r1(sK91,X5) )
| ! [X6] :
( p204(X6)
| ~ r1(sK91,X6) )
| ! [X7] :
( p205(X7)
| ~ r1(sK91,X7) ) )
& ( p301(sK91)
| p302(sK91)
| p303(sK91)
| ! [X8] :
( p304(X8)
| ~ r1(sK91,X8) )
| ! [X9] :
( p305(X9)
| ~ r1(sK91,X9) ) )
& ( p401(sK91)
| p402(sK91)
| p403(sK91)
| p404(sK91)
| ! [X10] :
( p405(X10)
| ~ r1(sK91,X10) ) )
& ( p501(sK91)
| p502(sK91)
| p503(sK91)
| p504(sK91)
| p505(sK91) )
& ( p601(sK91)
| p602(sK91)
| p603(sK91)
| p604(sK91)
| p605(sK91) )
& ! [X11] :
( sP40(X11)
| ~ r1(sK91,X11) ) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
? [X0] :
( ( p101(X0)
| ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
| ! [X2] :
( p103(X2)
| ~ r1(X0,X2) )
| ! [X3] :
( p104(X3)
| ~ r1(X0,X3) )
| ! [X4] :
( p105(X4)
| ~ r1(X0,X4) ) )
& ( p201(X0)
| p202(X0)
| ! [X5] :
( p203(X5)
| ~ r1(X0,X5) )
| ! [X6] :
( p204(X6)
| ~ r1(X0,X6) )
| ! [X7] :
( p205(X7)
| ~ r1(X0,X7) ) )
& ( p301(X0)
| p302(X0)
| p303(X0)
| ! [X8] :
( p304(X8)
| ~ r1(X0,X8) )
| ! [X9] :
( p305(X9)
| ~ r1(X0,X9) ) )
& ( p401(X0)
| p402(X0)
| p403(X0)
| p404(X0)
| ! [X10] :
( p405(X10)
| ~ r1(X0,X10) ) )
& ( p501(X0)
| p502(X0)
| p503(X0)
| p504(X0)
| p505(X0) )
& ( p601(X0)
| p602(X0)
| p603(X0)
| p604(X0)
| p605(X0) )
& ! [X11] :
( sP40(X11)
| ~ r1(X0,X11) ) ),
inference(definition_folding,[],[f7,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8]) ).
fof(f18,plain,
! [X11] :
( ? [X61] :
( ~ p405(X61)
& r1(X11,X61) )
| ~ p605(X11)
| ~ sP10(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f30,plain,
! [X11] :
( ? [X37] :
( ~ p204(X37)
& r1(X11,X37) )
| ~ p504(X11)
| ~ sP22(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f31,plain,
! [X11] :
( ? [X36] :
( ~ p204(X36)
& r1(X11,X36) )
| ~ p404(X11)
| ~ sP23(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f39,plain,
! [X11] :
( ? [X22] :
( ~ p103(X22)
& r1(X11,X22) )
| ~ p603(X11)
| ~ sP31(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f40,plain,
! [X11] :
( ? [X21] :
( ~ p103(X21)
& r1(X11,X21) )
| ~ p503(X11)
| ~ sP32(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f41,plain,
! [X11] :
( ? [X20] :
( ~ p103(X20)
& r1(X11,X20) )
| ~ p403(X11)
| ~ sP33(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f7,plain,
? [X0] :
( ( p101(X0)
| ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
| ! [X2] :
( p103(X2)
| ~ r1(X0,X2) )
| ! [X3] :
( p104(X3)
| ~ r1(X0,X3) )
| ! [X4] :
( p105(X4)
| ~ r1(X0,X4) ) )
& ( p201(X0)
| p202(X0)
| ! [X5] :
( p203(X5)
| ~ r1(X0,X5) )
| ! [X6] :
( p204(X6)
| ~ r1(X0,X6) )
| ! [X7] :
( p205(X7)
| ~ r1(X0,X7) ) )
& ( p301(X0)
| p302(X0)
| p303(X0)
| ! [X8] :
( p304(X8)
| ~ r1(X0,X8) )
| ! [X9] :
( p305(X9)
| ~ r1(X0,X9) ) )
& ( p401(X0)
| p402(X0)
| p403(X0)
| p404(X0)
| ! [X10] :
( p405(X10)
| ~ r1(X0,X10) ) )
& ( p501(X0)
| p502(X0)
| p503(X0)
| p504(X0)
| p505(X0) )
& ( p601(X0)
| p602(X0)
| p603(X0)
| p604(X0)
| p605(X0) )
& ! [X11] :
( ( ( ~ p101(X11)
| ~ p201(X11) )
& ( ~ p101(X11)
| ~ p301(X11) )
& ( ~ p101(X11)
| ~ p401(X11) )
& ( ~ p101(X11)
| ~ p501(X11) )
& ( ~ p101(X11)
| ~ p601(X11) )
& ( ~ p201(X11)
| ~ p301(X11) )
& ( ~ p201(X11)
| ~ p401(X11) )
& ( ~ p201(X11)
| ~ p501(X11) )
& ( ~ p201(X11)
| ~ p601(X11) )
& ( ~ p301(X11)
| ~ p401(X11) )
& ( ~ p301(X11)
| ~ p501(X11) )
& ( ~ p301(X11)
| ~ p601(X11) )
& ( ~ p401(X11)
| ~ p501(X11) )
& ( ~ p401(X11)
| ~ p601(X11) )
& ( ~ p501(X11)
| ~ p601(X11) )
& ( ? [X12] :
( ~ p102(X12)
& r1(X11,X12) )
| ~ p202(X11) )
& ( ? [X13] :
( ~ p102(X13)
& r1(X11,X13) )
| ~ p302(X11) )
& ( ? [X14] :
( ~ p102(X14)
& r1(X11,X14) )
| ~ p402(X11) )
& ( ? [X15] :
( ~ p102(X15)
& r1(X11,X15) )
| ~ p502(X11) )
& ( ? [X16] :
( ~ p102(X16)
& r1(X11,X16) )
| ~ p602(X11) )
& ( ~ p202(X11)
| ~ p302(X11) )
& ( ~ p202(X11)
| ~ p402(X11) )
& ( ~ p202(X11)
| ~ p502(X11) )
& ( ~ p202(X11)
| ~ p602(X11) )
& ( ~ p302(X11)
| ~ p402(X11) )
& ( ~ p302(X11)
| ~ p502(X11) )
& ( ~ p302(X11)
| ~ p602(X11) )
& ( ~ p402(X11)
| ~ p502(X11) )
& ( ~ p402(X11)
| ~ p602(X11) )
& ( ~ p502(X11)
| ~ p602(X11) )
& ( ? [X17] :
( ~ p103(X17)
& r1(X11,X17) )
| ? [X18] :
( ~ p203(X18)
& r1(X11,X18) ) )
& ( ? [X19] :
( ~ p103(X19)
& r1(X11,X19) )
| ~ p303(X11) )
& ( ? [X20] :
( ~ p103(X20)
& r1(X11,X20) )
| ~ p403(X11) )
& ( ? [X21] :
( ~ p103(X21)
& r1(X11,X21) )
| ~ p503(X11) )
& ( ? [X22] :
( ~ p103(X22)
& r1(X11,X22) )
| ~ p603(X11) )
& ( ? [X23] :
( ~ p203(X23)
& r1(X11,X23) )
| ~ p303(X11) )
& ( ? [X24] :
( ~ p203(X24)
& r1(X11,X24) )
| ~ p403(X11) )
& ( ? [X25] :
( ~ p203(X25)
& r1(X11,X25) )
| ~ p503(X11) )
& ( ? [X26] :
( ~ p203(X26)
& r1(X11,X26) )
| ~ p603(X11) )
& ( ~ p303(X11)
| ~ p403(X11) )
& ( ~ p303(X11)
| ~ p503(X11) )
& ( ~ p303(X11)
| ~ p603(X11) )
& ( ~ p403(X11)
| ~ p503(X11) )
& ( ~ p403(X11)
| ~ p603(X11) )
& ( ~ p503(X11)
| ~ p603(X11) )
& ( ? [X27] :
( ~ p104(X27)
& r1(X11,X27) )
| ? [X28] :
( ~ p204(X28)
& r1(X11,X28) ) )
& ( ? [X29] :
( ~ p104(X29)
& r1(X11,X29) )
| ? [X30] :
( ~ p304(X30)
& r1(X11,X30) ) )
& ( ? [X31] :
( ~ p104(X31)
& r1(X11,X31) )
| ~ p404(X11) )
& ( ? [X32] :
( ~ p104(X32)
& r1(X11,X32) )
| ~ p504(X11) )
& ( ? [X33] :
( ~ p104(X33)
& r1(X11,X33) )
| ~ p604(X11) )
& ( ? [X34] :
( ~ p204(X34)
& r1(X11,X34) )
| ? [X35] :
( ~ p304(X35)
& r1(X11,X35) ) )
& ( ? [X36] :
( ~ p204(X36)
& r1(X11,X36) )
| ~ p404(X11) )
& ( ? [X37] :
( ~ p204(X37)
& r1(X11,X37) )
| ~ p504(X11) )
& ( ? [X38] :
( ~ p204(X38)
& r1(X11,X38) )
| ~ p604(X11) )
& ( ? [X39] :
( ~ p304(X39)
& r1(X11,X39) )
| ~ p404(X11) )
& ( ? [X40] :
( ~ p304(X40)
& r1(X11,X40) )
| ~ p504(X11) )
& ( ? [X41] :
( ~ p304(X41)
& r1(X11,X41) )
| ~ p604(X11) )
& ( ~ p404(X11)
| ~ p504(X11) )
& ( ~ p404(X11)
| ~ p604(X11) )
& ( ~ p504(X11)
| ~ p604(X11) )
& ( ? [X42] :
( ~ p105(X42)
& r1(X11,X42) )
| ? [X43] :
( ~ p205(X43)
& r1(X11,X43) ) )
& ( ? [X44] :
( ~ p105(X44)
& r1(X11,X44) )
| ? [X45] :
( ~ p305(X45)
& r1(X11,X45) ) )
& ( ? [X46] :
( ~ p105(X46)
& r1(X11,X46) )
| ? [X47] :
( ~ p405(X47)
& r1(X11,X47) ) )
& ( ? [X48] :
( ~ p105(X48)
& r1(X11,X48) )
| ~ p505(X11) )
& ( ? [X49] :
( ~ p105(X49)
& r1(X11,X49) )
| ~ p605(X11) )
& ( ? [X50] :
( ~ p205(X50)
& r1(X11,X50) )
| ? [X51] :
( ~ p305(X51)
& r1(X11,X51) ) )
& ( ? [X52] :
( ~ p205(X52)
& r1(X11,X52) )
| ? [X53] :
( ~ p405(X53)
& r1(X11,X53) ) )
& ( ? [X54] :
( ~ p205(X54)
& r1(X11,X54) )
| ~ p505(X11) )
& ( ? [X55] :
( ~ p205(X55)
& r1(X11,X55) )
| ~ p605(X11) )
& ( ? [X56] :
( ~ p305(X56)
& r1(X11,X56) )
| ? [X57] :
( ~ p405(X57)
& r1(X11,X57) ) )
& ( ? [X58] :
( ~ p305(X58)
& r1(X11,X58) )
| ~ p505(X11) )
& ( ? [X59] :
( ~ p305(X59)
& r1(X11,X59) )
| ~ p605(X11) )
& ( ? [X60] :
( ~ p405(X60)
& r1(X11,X60) )
| ~ p505(X11) )
& ( ? [X61] :
( ~ p405(X61)
& r1(X11,X61) )
| ~ p605(X11) )
& ( ~ p505(X11)
| ~ p605(X11) ) )
| ~ r1(X0,X11) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
? [X0] :
( ( p101(X0)
| ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
| ! [X2] :
( p103(X2)
| ~ r1(X0,X2) )
| ! [X3] :
( p104(X3)
| ~ r1(X0,X3) )
| ! [X4] :
( p105(X4)
| ~ r1(X0,X4) ) )
& ( p201(X0)
| p202(X0)
| ! [X5] :
( p203(X5)
| ~ r1(X0,X5) )
| ! [X6] :
( p204(X6)
| ~ r1(X0,X6) )
| ! [X7] :
( p205(X7)
| ~ r1(X0,X7) ) )
& ( p301(X0)
| p302(X0)
| p303(X0)
| ! [X8] :
( p304(X8)
| ~ r1(X0,X8) )
| ! [X9] :
( p305(X9)
| ~ r1(X0,X9) ) )
& ( p401(X0)
| p402(X0)
| p403(X0)
| p404(X0)
| ! [X10] :
( p405(X10)
| ~ r1(X0,X10) ) )
& ( p501(X0)
| p502(X0)
| p503(X0)
| p504(X0)
| p505(X0) )
& ( p601(X0)
| p602(X0)
| p603(X0)
| p604(X0)
| p605(X0) )
& ! [X11] :
( ( ( ~ p101(X11)
| ~ p201(X11) )
& ( ~ p101(X11)
| ~ p301(X11) )
& ( ~ p101(X11)
| ~ p401(X11) )
& ( ~ p101(X11)
| ~ p501(X11) )
& ( ~ p101(X11)
| ~ p601(X11) )
& ( ~ p201(X11)
| ~ p301(X11) )
& ( ~ p201(X11)
| ~ p401(X11) )
& ( ~ p201(X11)
| ~ p501(X11) )
& ( ~ p201(X11)
| ~ p601(X11) )
& ( ~ p301(X11)
| ~ p401(X11) )
& ( ~ p301(X11)
| ~ p501(X11) )
& ( ~ p301(X11)
| ~ p601(X11) )
& ( ~ p401(X11)
| ~ p501(X11) )
& ( ~ p401(X11)
| ~ p601(X11) )
& ( ~ p501(X11)
| ~ p601(X11) )
& ( ? [X12] :
( ~ p102(X12)
& r1(X11,X12) )
| ~ p202(X11) )
& ( ? [X13] :
( ~ p102(X13)
& r1(X11,X13) )
| ~ p302(X11) )
& ( ? [X14] :
( ~ p102(X14)
& r1(X11,X14) )
| ~ p402(X11) )
& ( ? [X15] :
( ~ p102(X15)
& r1(X11,X15) )
| ~ p502(X11) )
& ( ? [X16] :
( ~ p102(X16)
& r1(X11,X16) )
| ~ p602(X11) )
& ( ~ p202(X11)
| ~ p302(X11) )
& ( ~ p202(X11)
| ~ p402(X11) )
& ( ~ p202(X11)
| ~ p502(X11) )
& ( ~ p202(X11)
| ~ p602(X11) )
& ( ~ p302(X11)
| ~ p402(X11) )
& ( ~ p302(X11)
| ~ p502(X11) )
& ( ~ p302(X11)
| ~ p602(X11) )
& ( ~ p402(X11)
| ~ p502(X11) )
& ( ~ p402(X11)
| ~ p602(X11) )
& ( ~ p502(X11)
| ~ p602(X11) )
& ( ? [X17] :
( ~ p103(X17)
& r1(X11,X17) )
| ? [X18] :
( ~ p203(X18)
& r1(X11,X18) ) )
& ( ? [X19] :
( ~ p103(X19)
& r1(X11,X19) )
| ~ p303(X11) )
& ( ? [X20] :
( ~ p103(X20)
& r1(X11,X20) )
| ~ p403(X11) )
& ( ? [X21] :
( ~ p103(X21)
& r1(X11,X21) )
| ~ p503(X11) )
& ( ? [X22] :
( ~ p103(X22)
& r1(X11,X22) )
| ~ p603(X11) )
& ( ? [X23] :
( ~ p203(X23)
& r1(X11,X23) )
| ~ p303(X11) )
& ( ? [X24] :
( ~ p203(X24)
& r1(X11,X24) )
| ~ p403(X11) )
& ( ? [X25] :
( ~ p203(X25)
& r1(X11,X25) )
| ~ p503(X11) )
& ( ? [X26] :
( ~ p203(X26)
& r1(X11,X26) )
| ~ p603(X11) )
& ( ~ p303(X11)
| ~ p403(X11) )
& ( ~ p303(X11)
| ~ p503(X11) )
& ( ~ p303(X11)
| ~ p603(X11) )
& ( ~ p403(X11)
| ~ p503(X11) )
& ( ~ p403(X11)
| ~ p603(X11) )
& ( ~ p503(X11)
| ~ p603(X11) )
& ( ? [X27] :
( ~ p104(X27)
& r1(X11,X27) )
| ? [X28] :
( ~ p204(X28)
& r1(X11,X28) ) )
& ( ? [X29] :
( ~ p104(X29)
& r1(X11,X29) )
| ? [X30] :
( ~ p304(X30)
& r1(X11,X30) ) )
& ( ? [X31] :
( ~ p104(X31)
& r1(X11,X31) )
| ~ p404(X11) )
& ( ? [X32] :
( ~ p104(X32)
& r1(X11,X32) )
| ~ p504(X11) )
& ( ? [X33] :
( ~ p104(X33)
& r1(X11,X33) )
| ~ p604(X11) )
& ( ? [X34] :
( ~ p204(X34)
& r1(X11,X34) )
| ? [X35] :
( ~ p304(X35)
& r1(X11,X35) ) )
& ( ? [X36] :
( ~ p204(X36)
& r1(X11,X36) )
| ~ p404(X11) )
& ( ? [X37] :
( ~ p204(X37)
& r1(X11,X37) )
| ~ p504(X11) )
& ( ? [X38] :
( ~ p204(X38)
& r1(X11,X38) )
| ~ p604(X11) )
& ( ? [X39] :
( ~ p304(X39)
& r1(X11,X39) )
| ~ p404(X11) )
& ( ? [X40] :
( ~ p304(X40)
& r1(X11,X40) )
| ~ p504(X11) )
& ( ? [X41] :
( ~ p304(X41)
& r1(X11,X41) )
| ~ p604(X11) )
& ( ~ p404(X11)
| ~ p504(X11) )
& ( ~ p404(X11)
| ~ p604(X11) )
& ( ~ p504(X11)
| ~ p604(X11) )
& ( ? [X42] :
( ~ p105(X42)
& r1(X11,X42) )
| ? [X43] :
( ~ p205(X43)
& r1(X11,X43) ) )
& ( ? [X44] :
( ~ p105(X44)
& r1(X11,X44) )
| ? [X45] :
( ~ p305(X45)
& r1(X11,X45) ) )
& ( ? [X46] :
( ~ p105(X46)
& r1(X11,X46) )
| ? [X47] :
( ~ p405(X47)
& r1(X11,X47) ) )
& ( ? [X48] :
( ~ p105(X48)
& r1(X11,X48) )
| ~ p505(X11) )
& ( ? [X49] :
( ~ p105(X49)
& r1(X11,X49) )
| ~ p605(X11) )
& ( ? [X50] :
( ~ p205(X50)
& r1(X11,X50) )
| ? [X51] :
( ~ p305(X51)
& r1(X11,X51) ) )
& ( ? [X52] :
( ~ p205(X52)
& r1(X11,X52) )
| ? [X53] :
( ~ p405(X53)
& r1(X11,X53) ) )
& ( ? [X54] :
( ~ p205(X54)
& r1(X11,X54) )
| ~ p505(X11) )
& ( ? [X55] :
( ~ p205(X55)
& r1(X11,X55) )
| ~ p605(X11) )
& ( ? [X56] :
( ~ p305(X56)
& r1(X11,X56) )
| ? [X57] :
( ~ p405(X57)
& r1(X11,X57) ) )
& ( ? [X58] :
( ~ p305(X58)
& r1(X11,X58) )
| ~ p505(X11) )
& ( ? [X59] :
( ~ p305(X59)
& r1(X11,X59) )
| ~ p605(X11) )
& ( ? [X60] :
( ~ p405(X60)
& r1(X11,X60) )
| ~ p505(X11) )
& ( ? [X61] :
( ~ p405(X61)
& r1(X11,X61) )
| ~ p605(X11) )
& ( ~ p505(X11)
| ~ p605(X11) ) )
| ~ r1(X0,X11) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ( ( p101(X0)
| ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
| ! [X2] :
( p103(X2)
| ~ r1(X0,X2) )
| ! [X3] :
( p104(X3)
| ~ r1(X0,X3) )
| ! [X4] :
( p105(X4)
| ~ r1(X0,X4) ) )
& ( p201(X0)
| p202(X0)
| ! [X5] :
( p203(X5)
| ~ r1(X0,X5) )
| ! [X6] :
( p204(X6)
| ~ r1(X0,X6) )
| ! [X7] :
( p205(X7)
| ~ r1(X0,X7) ) )
& ( p301(X0)
| p302(X0)
| p303(X0)
| ! [X8] :
( p304(X8)
| ~ r1(X0,X8) )
| ! [X9] :
( p305(X9)
| ~ r1(X0,X9) ) )
& ( p401(X0)
| p402(X0)
| p403(X0)
| p404(X0)
| ! [X10] :
( p405(X10)
| ~ r1(X0,X10) ) )
& ( p501(X0)
| p502(X0)
| p503(X0)
| p504(X0)
| p505(X0) )
& ( p601(X0)
| p602(X0)
| p603(X0)
| p604(X0)
| p605(X0) ) )
| ~ ! [X11] :
( ~ ( ( p101(X11)
& p201(X11) )
| ( p101(X11)
& p301(X11) )
| ( p101(X11)
& p401(X11) )
| ( p101(X11)
& p501(X11) )
| ( p101(X11)
& p601(X11) )
| ( p201(X11)
& p301(X11) )
| ( p201(X11)
& p401(X11) )
| ( p201(X11)
& p501(X11) )
| ( p201(X11)
& p601(X11) )
| ( p301(X11)
& p401(X11) )
| ( p301(X11)
& p501(X11) )
| ( p301(X11)
& p601(X11) )
| ( p401(X11)
& p501(X11) )
| ( p401(X11)
& p601(X11) )
| ( p501(X11)
& p601(X11) )
| ( ! [X12] :
( p102(X12)
| ~ r1(X11,X12) )
& p202(X11) )
| ( ! [X13] :
( p102(X13)
| ~ r1(X11,X13) )
& p302(X11) )
| ( ! [X14] :
( p102(X14)
| ~ r1(X11,X14) )
& p402(X11) )
| ( ! [X15] :
( p102(X15)
| ~ r1(X11,X15) )
& p502(X11) )
| ( ! [X16] :
( p102(X16)
| ~ r1(X11,X16) )
& p602(X11) )
| ( p202(X11)
& p302(X11) )
| ( p202(X11)
& p402(X11) )
| ( p202(X11)
& p502(X11) )
| ( p202(X11)
& p602(X11) )
| ( p302(X11)
& p402(X11) )
| ( p302(X11)
& p502(X11) )
| ( p302(X11)
& p602(X11) )
| ( p402(X11)
& p502(X11) )
| ( p402(X11)
& p602(X11) )
| ( p502(X11)
& p602(X11) )
| ( ! [X17] :
( p103(X17)
| ~ r1(X11,X17) )
& ! [X18] :
( p203(X18)
| ~ r1(X11,X18) ) )
| ( ! [X19] :
( p103(X19)
| ~ r1(X11,X19) )
& p303(X11) )
| ( ! [X20] :
( p103(X20)
| ~ r1(X11,X20) )
& p403(X11) )
| ( ! [X21] :
( p103(X21)
| ~ r1(X11,X21) )
& p503(X11) )
| ( ! [X22] :
( p103(X22)
| ~ r1(X11,X22) )
& p603(X11) )
| ( ! [X23] :
( p203(X23)
| ~ r1(X11,X23) )
& p303(X11) )
| ( ! [X24] :
( p203(X24)
| ~ r1(X11,X24) )
& p403(X11) )
| ( ! [X25] :
( p203(X25)
| ~ r1(X11,X25) )
& p503(X11) )
| ( ! [X26] :
( p203(X26)
| ~ r1(X11,X26) )
& p603(X11) )
| ( p303(X11)
& p403(X11) )
| ( p303(X11)
& p503(X11) )
| ( p303(X11)
& p603(X11) )
| ( p403(X11)
& p503(X11) )
| ( p403(X11)
& p603(X11) )
| ( p503(X11)
& p603(X11) )
| ( ! [X27] :
( p104(X27)
| ~ r1(X11,X27) )
& ! [X28] :
( p204(X28)
| ~ r1(X11,X28) ) )
| ( ! [X29] :
( p104(X29)
| ~ r1(X11,X29) )
& ! [X30] :
( p304(X30)
| ~ r1(X11,X30) ) )
| ( ! [X31] :
( p104(X31)
| ~ r1(X11,X31) )
& p404(X11) )
| ( ! [X32] :
( p104(X32)
| ~ r1(X11,X32) )
& p504(X11) )
| ( ! [X33] :
( p104(X33)
| ~ r1(X11,X33) )
& p604(X11) )
| ( ! [X34] :
( p204(X34)
| ~ r1(X11,X34) )
& ! [X35] :
( p304(X35)
| ~ r1(X11,X35) ) )
| ( ! [X36] :
( p204(X36)
| ~ r1(X11,X36) )
& p404(X11) )
| ( ! [X37] :
( p204(X37)
| ~ r1(X11,X37) )
& p504(X11) )
| ( ! [X38] :
( p204(X38)
| ~ r1(X11,X38) )
& p604(X11) )
| ( ! [X39] :
( p304(X39)
| ~ r1(X11,X39) )
& p404(X11) )
| ( ! [X40] :
( p304(X40)
| ~ r1(X11,X40) )
& p504(X11) )
| ( ! [X41] :
( p304(X41)
| ~ r1(X11,X41) )
& p604(X11) )
| ( p404(X11)
& p504(X11) )
| ( p404(X11)
& p604(X11) )
| ( p504(X11)
& p604(X11) )
| ( ! [X42] :
( p105(X42)
| ~ r1(X11,X42) )
& ! [X43] :
( p205(X43)
| ~ r1(X11,X43) ) )
| ( ! [X44] :
( p105(X44)
| ~ r1(X11,X44) )
& ! [X45] :
( p305(X45)
| ~ r1(X11,X45) ) )
| ( ! [X46] :
( p105(X46)
| ~ r1(X11,X46) )
& ! [X47] :
( p405(X47)
| ~ r1(X11,X47) ) )
| ( ! [X48] :
( p105(X48)
| ~ r1(X11,X48) )
& p505(X11) )
| ( ! [X49] :
( p105(X49)
| ~ r1(X11,X49) )
& p605(X11) )
| ( ! [X50] :
( p205(X50)
| ~ r1(X11,X50) )
& ! [X51] :
( p305(X51)
| ~ r1(X11,X51) ) )
| ( ! [X52] :
( p205(X52)
| ~ r1(X11,X52) )
& ! [X53] :
( p405(X53)
| ~ r1(X11,X53) ) )
| ( ! [X54] :
( p205(X54)
| ~ r1(X11,X54) )
& p505(X11) )
| ( ! [X55] :
( p205(X55)
| ~ r1(X11,X55) )
& p605(X11) )
| ( ! [X56] :
( p305(X56)
| ~ r1(X11,X56) )
& ! [X57] :
( p405(X57)
| ~ r1(X11,X57) ) )
| ( ! [X58] :
( p305(X58)
| ~ r1(X11,X58) )
& p505(X11) )
| ( ! [X59] :
( p305(X59)
| ~ r1(X11,X59) )
& p605(X11) )
| ( ! [X60] :
( p405(X60)
| ~ r1(X11,X60) )
& p505(X11) )
| ( ! [X61] :
( p405(X61)
| ~ r1(X11,X61) )
& p605(X11) )
| ( p505(X11)
& p605(X11) ) )
| ~ r1(X0,X11) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ( ( p101(X0)
| ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
| ! [X2] :
( p103(X2)
| ~ r1(X0,X2) )
| ! [X3] :
( p104(X3)
| ~ r1(X0,X3) )
| ! [X4] :
( p105(X4)
| ~ r1(X0,X4) ) )
& ( p201(X0)
| p202(X0)
| ! [X5] :
( p203(X5)
| ~ r1(X0,X5) )
| ! [X6] :
( p204(X6)
| ~ r1(X0,X6) )
| ! [X7] :
( p205(X7)
| ~ r1(X0,X7) ) )
& ( p301(X0)
| p302(X0)
| p303(X0)
| ! [X8] :
( p304(X8)
| ~ r1(X0,X8) )
| ! [X9] :
( p305(X9)
| ~ r1(X0,X9) ) )
& ( p401(X0)
| p402(X0)
| p403(X0)
| p404(X0)
| ! [X10] :
( p405(X10)
| ~ r1(X0,X10) ) )
& ( p501(X0)
| p502(X0)
| p503(X0)
| p504(X0)
| p505(X0) )
& ( p601(X0)
| p602(X0)
| p603(X0)
| p604(X0)
| p605(X0) ) )
| ~ ! [X11] :
( ~ ( ( p101(X11)
& p201(X11) )
| ( p101(X11)
& p301(X11) )
| ( p101(X11)
& p401(X11) )
| ( p101(X11)
& p501(X11) )
| ( p101(X11)
& p601(X11) )
| ( p201(X11)
& p301(X11) )
| ( p201(X11)
& p401(X11) )
| ( p201(X11)
& p501(X11) )
| ( p201(X11)
& p601(X11) )
| ( p301(X11)
& p401(X11) )
| ( p301(X11)
& p501(X11) )
| ( p301(X11)
& p601(X11) )
| ( p401(X11)
& p501(X11) )
| ( p401(X11)
& p601(X11) )
| ( p501(X11)
& p601(X11) )
| ( ! [X12] :
( p102(X12)
| ~ r1(X11,X12) )
& p202(X11) )
| ( ! [X13] :
( p102(X13)
| ~ r1(X11,X13) )
& p302(X11) )
| ( ! [X14] :
( p102(X14)
| ~ r1(X11,X14) )
& p402(X11) )
| ( ! [X15] :
( p102(X15)
| ~ r1(X11,X15) )
& p502(X11) )
| ( ! [X16] :
( p102(X16)
| ~ r1(X11,X16) )
& p602(X11) )
| ( p202(X11)
& p302(X11) )
| ( p202(X11)
& p402(X11) )
| ( p202(X11)
& p502(X11) )
| ( p202(X11)
& p602(X11) )
| ( p302(X11)
& p402(X11) )
| ( p302(X11)
& p502(X11) )
| ( p302(X11)
& p602(X11) )
| ( p402(X11)
& p502(X11) )
| ( p402(X11)
& p602(X11) )
| ( p502(X11)
& p602(X11) )
| ( ! [X17] :
( p103(X17)
| ~ r1(X11,X17) )
& ! [X18] :
( p203(X18)
| ~ r1(X11,X18) ) )
| ( ! [X19] :
( p103(X19)
| ~ r1(X11,X19) )
& p303(X11) )
| ( ! [X20] :
( p103(X20)
| ~ r1(X11,X20) )
& p403(X11) )
| ( ! [X21] :
( p103(X21)
| ~ r1(X11,X21) )
& p503(X11) )
| ( ! [X22] :
( p103(X22)
| ~ r1(X11,X22) )
& p603(X11) )
| ( ! [X23] :
( p203(X23)
| ~ r1(X11,X23) )
& p303(X11) )
| ( ! [X24] :
( p203(X24)
| ~ r1(X11,X24) )
& p403(X11) )
| ( ! [X25] :
( p203(X25)
| ~ r1(X11,X25) )
& p503(X11) )
| ( ! [X26] :
( p203(X26)
| ~ r1(X11,X26) )
& p603(X11) )
| ( p303(X11)
& p403(X11) )
| ( p303(X11)
& p503(X11) )
| ( p303(X11)
& p603(X11) )
| ( p403(X11)
& p503(X11) )
| ( p403(X11)
& p603(X11) )
| ( p503(X11)
& p603(X11) )
| ( ! [X27] :
( p104(X27)
| ~ r1(X11,X27) )
& ! [X28] :
( p204(X28)
| ~ r1(X11,X28) ) )
| ( ! [X29] :
( p104(X29)
| ~ r1(X11,X29) )
& ! [X30] :
( p304(X30)
| ~ r1(X11,X30) ) )
| ( ! [X31] :
( p104(X31)
| ~ r1(X11,X31) )
& p404(X11) )
| ( ! [X32] :
( p104(X32)
| ~ r1(X11,X32) )
& p504(X11) )
| ( ! [X33] :
( p104(X33)
| ~ r1(X11,X33) )
& p604(X11) )
| ( ! [X34] :
( p204(X34)
| ~ r1(X11,X34) )
& ! [X35] :
( p304(X35)
| ~ r1(X11,X35) ) )
| ( ! [X36] :
( p204(X36)
| ~ r1(X11,X36) )
& p404(X11) )
| ( ! [X37] :
( p204(X37)
| ~ r1(X11,X37) )
& p504(X11) )
| ( ! [X38] :
( p204(X38)
| ~ r1(X11,X38) )
& p604(X11) )
| ( ! [X39] :
( p304(X39)
| ~ r1(X11,X39) )
& p404(X11) )
| ( ! [X40] :
( p304(X40)
| ~ r1(X11,X40) )
& p504(X11) )
| ( ! [X41] :
( p304(X41)
| ~ r1(X11,X41) )
& p604(X11) )
| ( p404(X11)
& p504(X11) )
| ( p404(X11)
& p604(X11) )
| ( p504(X11)
& p604(X11) )
| ( ! [X42] :
( p105(X42)
| ~ r1(X11,X42) )
& ! [X43] :
( p205(X43)
| ~ r1(X11,X43) ) )
| ( ! [X44] :
( p105(X44)
| ~ r1(X11,X44) )
& ! [X45] :
( p305(X45)
| ~ r1(X11,X45) ) )
| ( ! [X46] :
( p105(X46)
| ~ r1(X11,X46) )
& ! [X47] :
( p405(X47)
| ~ r1(X11,X47) ) )
| ( ! [X48] :
( p105(X48)
| ~ r1(X11,X48) )
& p505(X11) )
| ( ! [X49] :
( p105(X49)
| ~ r1(X11,X49) )
& p605(X11) )
| ( ! [X50] :
( p205(X50)
| ~ r1(X11,X50) )
& ! [X51] :
( p305(X51)
| ~ r1(X11,X51) ) )
| ( ! [X52] :
( p205(X52)
| ~ r1(X11,X52) )
& ! [X53] :
( p405(X53)
| ~ r1(X11,X53) ) )
| ( ! [X54] :
( p205(X54)
| ~ r1(X11,X54) )
& p505(X11) )
| ( ! [X55] :
( p205(X55)
| ~ r1(X11,X55) )
& p605(X11) )
| ( ! [X56] :
( p305(X56)
| ~ r1(X11,X56) )
& ! [X57] :
( p405(X57)
| ~ r1(X11,X57) ) )
| ( ! [X58] :
( p305(X58)
| ~ r1(X11,X58) )
& p505(X11) )
| ( ! [X59] :
( p305(X59)
| ~ r1(X11,X59) )
& p605(X11) )
| ( ! [X60] :
( p405(X60)
| ~ r1(X11,X60) )
& p505(X11) )
| ( ! [X61] :
( p405(X61)
| ~ r1(X11,X61) )
& p605(X11) )
| ( p505(X11)
& p605(X11) ) )
| ~ r1(X0,X11) ) ),
inference(rectify,[],[f3]) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ( p101(X0)
| ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p103(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p104(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p105(X1)
| ~ r1(X0,X1) ) )
& ( p201(X0)
| p202(X0)
| ! [X1] :
( p203(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p204(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p205(X1)
| ~ r1(X0,X1) ) )
& ( p301(X0)
| p302(X0)
| p303(X0)
| ! [X1] :
( p304(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p305(X1)
| ~ r1(X0,X1) ) )
& ( p401(X0)
| p402(X0)
| p403(X0)
| p404(X0)
| ! [X1] :
( p405(X1)
| ~ r1(X0,X1) ) )
& ( p501(X0)
| p502(X0)
| p503(X0)
| p504(X0)
| p505(X0) )
& ( p601(X0)
| p602(X0)
| p603(X0)
| p604(X0)
| p605(X0) ) )
| ~ ! [X1] :
( ~ ( ( p101(X1)
& p201(X1) )
| ( p101(X1)
& p301(X1) )
| ( p101(X1)
& p401(X1) )
| ( p101(X1)
& p501(X1) )
| ( p101(X1)
& p601(X1) )
| ( p201(X1)
& p301(X1) )
| ( p201(X1)
& p401(X1) )
| ( p201(X1)
& p501(X1) )
| ( p201(X1)
& p601(X1) )
| ( p301(X1)
& p401(X1) )
| ( p301(X1)
& p501(X1) )
| ( p301(X1)
& p601(X1) )
| ( p401(X1)
& p501(X1) )
| ( p401(X1)
& p601(X1) )
| ( p501(X1)
& p601(X1) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p202(X1) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p302(X1) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p402(X1) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p502(X1) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p602(X1) )
| ( p202(X1)
& p302(X1) )
| ( p202(X1)
& p402(X1) )
| ( p202(X1)
& p502(X1) )
| ( p202(X1)
& p602(X1) )
| ( p302(X1)
& p402(X1) )
| ( p302(X1)
& p502(X1) )
| ( p302(X1)
& p602(X1) )
| ( p402(X1)
& p502(X1) )
| ( p402(X1)
& p602(X1) )
| ( p502(X1)
& p602(X1) )
| ( ! [X0] :
( p103(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p203(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p103(X0)
| ~ r1(X1,X0) )
& p303(X1) )
| ( ! [X0] :
( p103(X0)
| ~ r1(X1,X0) )
& p403(X1) )
| ( ! [X0] :
( p103(X0)
| ~ r1(X1,X0) )
& p503(X1) )
| ( ! [X0] :
( p103(X0)
| ~ r1(X1,X0) )
& p603(X1) )
| ( ! [X0] :
( p203(X0)
| ~ r1(X1,X0) )
& p303(X1) )
| ( ! [X0] :
( p203(X0)
| ~ r1(X1,X0) )
& p403(X1) )
| ( ! [X0] :
( p203(X0)
| ~ r1(X1,X0) )
& p503(X1) )
| ( ! [X0] :
( p203(X0)
| ~ r1(X1,X0) )
& p603(X1) )
| ( p303(X1)
& p403(X1) )
| ( p303(X1)
& p503(X1) )
| ( p303(X1)
& p603(X1) )
| ( p403(X1)
& p503(X1) )
| ( p403(X1)
& p603(X1) )
| ( p503(X1)
& p603(X1) )
| ( ! [X0] :
( p104(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p204(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p104(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p304(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p104(X0)
| ~ r1(X1,X0) )
& p404(X1) )
| ( ! [X0] :
( p104(X0)
| ~ r1(X1,X0) )
& p504(X1) )
| ( ! [X0] :
( p104(X0)
| ~ r1(X1,X0) )
& p604(X1) )
| ( ! [X0] :
( p204(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p304(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p204(X0)
| ~ r1(X1,X0) )
& p404(X1) )
| ( ! [X0] :
( p204(X0)
| ~ r1(X1,X0) )
& p504(X1) )
| ( ! [X0] :
( p204(X0)
| ~ r1(X1,X0) )
& p604(X1) )
| ( ! [X0] :
( p304(X0)
| ~ r1(X1,X0) )
& p404(X1) )
| ( ! [X0] :
( p304(X0)
| ~ r1(X1,X0) )
& p504(X1) )
| ( ! [X0] :
( p304(X0)
| ~ r1(X1,X0) )
& p604(X1) )
| ( p404(X1)
& p504(X1) )
| ( p404(X1)
& p604(X1) )
| ( p504(X1)
& p604(X1) )
| ( ! [X0] :
( p105(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p205(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p105(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p305(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p105(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p405(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p105(X0)
| ~ r1(X1,X0) )
& p505(X1) )
| ( ! [X0] :
( p105(X0)
| ~ r1(X1,X0) )
& p605(X1) )
| ( ! [X0] :
( p205(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p305(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p205(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p405(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p205(X0)
| ~ r1(X1,X0) )
& p505(X1) )
| ( ! [X0] :
( p205(X0)
| ~ r1(X1,X0) )
& p605(X1) )
| ( ! [X0] :
( p305(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p405(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p305(X0)
| ~ r1(X1,X0) )
& p505(X1) )
| ( ! [X0] :
( p305(X0)
| ~ r1(X1,X0) )
& p605(X1) )
| ( ! [X0] :
( p405(X0)
| ~ r1(X1,X0) )
& p505(X1) )
| ( ! [X0] :
( p405(X0)
| ~ r1(X1,X0) )
& p605(X1) )
| ( p505(X1)
& p605(X1) ) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ( ( p101(X0)
| ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p103(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p104(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p105(X1)
| ~ r1(X0,X1) ) )
& ( p201(X0)
| p202(X0)
| ! [X1] :
( p203(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p204(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p205(X1)
| ~ r1(X0,X1) ) )
& ( p301(X0)
| p302(X0)
| p303(X0)
| ! [X1] :
( p304(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p305(X1)
| ~ r1(X0,X1) ) )
& ( p401(X0)
| p402(X0)
| p403(X0)
| p404(X0)
| ! [X1] :
( p405(X1)
| ~ r1(X0,X1) ) )
& ( p501(X0)
| p502(X0)
| p503(X0)
| p504(X0)
| p505(X0) )
& ( p601(X0)
| p602(X0)
| p603(X0)
| p604(X0)
| p605(X0) ) )
| ~ ! [X1] :
( ~ ( ( p101(X1)
& p201(X1) )
| ( p101(X1)
& p301(X1) )
| ( p101(X1)
& p401(X1) )
| ( p101(X1)
& p501(X1) )
| ( p101(X1)
& p601(X1) )
| ( p201(X1)
& p301(X1) )
| ( p201(X1)
& p401(X1) )
| ( p201(X1)
& p501(X1) )
| ( p201(X1)
& p601(X1) )
| ( p301(X1)
& p401(X1) )
| ( p301(X1)
& p501(X1) )
| ( p301(X1)
& p601(X1) )
| ( p401(X1)
& p501(X1) )
| ( p401(X1)
& p601(X1) )
| ( p501(X1)
& p601(X1) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p202(X1) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p302(X1) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p402(X1) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p502(X1) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p602(X1) )
| ( p202(X1)
& p302(X1) )
| ( p202(X1)
& p402(X1) )
| ( p202(X1)
& p502(X1) )
| ( p202(X1)
& p602(X1) )
| ( p302(X1)
& p402(X1) )
| ( p302(X1)
& p502(X1) )
| ( p302(X1)
& p602(X1) )
| ( p402(X1)
& p502(X1) )
| ( p402(X1)
& p602(X1) )
| ( p502(X1)
& p602(X1) )
| ( ! [X0] :
( p103(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p203(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p103(X0)
| ~ r1(X1,X0) )
& p303(X1) )
| ( ! [X0] :
( p103(X0)
| ~ r1(X1,X0) )
& p403(X1) )
| ( ! [X0] :
( p103(X0)
| ~ r1(X1,X0) )
& p503(X1) )
| ( ! [X0] :
( p103(X0)
| ~ r1(X1,X0) )
& p603(X1) )
| ( ! [X0] :
( p203(X0)
| ~ r1(X1,X0) )
& p303(X1) )
| ( ! [X0] :
( p203(X0)
| ~ r1(X1,X0) )
& p403(X1) )
| ( ! [X0] :
( p203(X0)
| ~ r1(X1,X0) )
& p503(X1) )
| ( ! [X0] :
( p203(X0)
| ~ r1(X1,X0) )
& p603(X1) )
| ( p303(X1)
& p403(X1) )
| ( p303(X1)
& p503(X1) )
| ( p303(X1)
& p603(X1) )
| ( p403(X1)
& p503(X1) )
| ( p403(X1)
& p603(X1) )
| ( p503(X1)
& p603(X1) )
| ( ! [X0] :
( p104(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p204(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p104(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p304(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p104(X0)
| ~ r1(X1,X0) )
& p404(X1) )
| ( ! [X0] :
( p104(X0)
| ~ r1(X1,X0) )
& p504(X1) )
| ( ! [X0] :
( p104(X0)
| ~ r1(X1,X0) )
& p604(X1) )
| ( ! [X0] :
( p204(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p304(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p204(X0)
| ~ r1(X1,X0) )
& p404(X1) )
| ( ! [X0] :
( p204(X0)
| ~ r1(X1,X0) )
& p504(X1) )
| ( ! [X0] :
( p204(X0)
| ~ r1(X1,X0) )
& p604(X1) )
| ( ! [X0] :
( p304(X0)
| ~ r1(X1,X0) )
& p404(X1) )
| ( ! [X0] :
( p304(X0)
| ~ r1(X1,X0) )
& p504(X1) )
| ( ! [X0] :
( p304(X0)
| ~ r1(X1,X0) )
& p604(X1) )
| ( p404(X1)
& p504(X1) )
| ( p404(X1)
& p604(X1) )
| ( p504(X1)
& p604(X1) )
| ( ! [X0] :
( p105(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p205(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p105(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p305(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p105(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p405(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p105(X0)
| ~ r1(X1,X0) )
& p505(X1) )
| ( ! [X0] :
( p105(X0)
| ~ r1(X1,X0) )
& p605(X1) )
| ( ! [X0] :
( p205(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p305(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p205(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p405(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p205(X0)
| ~ r1(X1,X0) )
& p505(X1) )
| ( ! [X0] :
( p205(X0)
| ~ r1(X1,X0) )
& p605(X1) )
| ( ! [X0] :
( p305(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p405(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p305(X0)
| ~ r1(X1,X0) )
& p505(X1) )
| ( ! [X0] :
( p305(X0)
| ~ r1(X1,X0) )
& p605(X1) )
| ( ! [X0] :
( p405(X0)
| ~ r1(X1,X0) )
& p505(X1) )
| ( ! [X0] :
( p405(X0)
| ~ r1(X1,X0) )
& p605(X1) )
| ( p505(X1)
& p605(X1) ) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f1786,plain,
( ~ sP40(sK91)
| spl98_184 ),
inference(resolution,[],[f1784,f263]) ).
fof(f263,plain,
! [X0] :
( sP30(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1784,plain,
( ~ sP30(sK91)
| spl98_184 ),
inference(avatar_component_clause,[],[f1782]) ).
fof(f1773,plain,
( ~ spl98_55
| ~ spl98_27
| ~ spl98_18 ),
inference(avatar_split_clause,[],[f1772,f502,f570,f757]) ).
fof(f1772,plain,
( ~ p602(sK91)
| ~ sP40(sK91)
| ~ spl98_18 ),
inference(resolution,[],[f503,f272]) ).
fof(f272,plain,
! [X0] :
( ~ p302(X0)
| ~ p602(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1747,plain,
spl98_178,
inference(avatar_contradiction_clause,[],[f1746]) ).
fof(f1746,plain,
( $false
| spl98_178 ),
inference(resolution,[],[f1745,f419]) ).
fof(f1745,plain,
( ~ sP40(sK91)
| spl98_178 ),
inference(resolution,[],[f1743,f226]) ).
fof(f226,plain,
! [X0] :
( sP11(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1743,plain,
( ~ sP11(sK91)
| spl98_178 ),
inference(avatar_component_clause,[],[f1741]) ).
fof(f1734,plain,
( ~ spl98_65
| ~ spl98_45
| ~ spl98_176 ),
inference(avatar_split_clause,[],[f1733,f1729,f698,f949]) ).
fof(f949,plain,
( spl98_65
<=> sP22(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_65])]) ).
fof(f1729,plain,
( spl98_176
<=> p204(sK58(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_176])]) ).
fof(f1733,plain,
( ~ p504(sK91)
| ~ sP22(sK91)
| ~ spl98_176 ),
inference(resolution,[],[f1731,f334]) ).
fof(f334,plain,
! [X0] :
( ~ p204(sK58(X0))
| ~ p504(X0)
| ~ sP22(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ( ~ p204(sK58(X0))
& r1(X0,sK58(X0)) )
| ~ p504(X0)
| ~ sP22(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK58])],[f121,f122]) ).
fof(f122,plain,
! [X0] :
( ? [X1] :
( ~ p204(X1)
& r1(X0,X1) )
=> ( ~ p204(sK58(X0))
& r1(X0,sK58(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
! [X0] :
( ? [X1] :
( ~ p204(X1)
& r1(X0,X1) )
| ~ p504(X0)
| ~ sP22(X0) ),
inference(rectify,[],[f120]) ).
fof(f120,plain,
! [X11] :
( ? [X37] :
( ~ p204(X37)
& r1(X11,X37) )
| ~ p504(X11)
| ~ sP22(X11) ),
inference(nnf_transformation,[],[f30]) ).
fof(f1731,plain,
( p204(sK58(sK91))
| ~ spl98_176 ),
inference(avatar_component_clause,[],[f1729]) ).
fof(f1732,plain,
( ~ spl98_65
| ~ spl98_45
| spl98_176
| ~ spl98_8 ),
inference(avatar_split_clause,[],[f848,f449,f1729,f698,f949]) ).
fof(f848,plain,
( p204(sK58(sK91))
| ~ p504(sK91)
| ~ sP22(sK91)
| ~ spl98_8 ),
inference(resolution,[],[f450,f333]) ).
fof(f333,plain,
! [X0] :
( r1(X0,sK58(X0))
| ~ p504(X0)
| ~ sP22(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f1699,plain,
( ~ spl98_38
| ~ spl98_39
| ~ spl98_82 ),
inference(avatar_split_clause,[],[f1698,f1160,f662,f658]) ).
fof(f658,plain,
( spl98_38
<=> sP31(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_38])]) ).
fof(f1160,plain,
( spl98_82
<=> p103(sK49(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_82])]) ).
fof(f1698,plain,
( ~ p603(sK91)
| ~ sP31(sK91)
| ~ spl98_82 ),
inference(resolution,[],[f1162,f316]) ).
fof(f316,plain,
! [X0] :
( ~ p103(sK49(X0))
| ~ p603(X0)
| ~ sP31(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ( ~ p103(sK49(X0))
& r1(X0,sK49(X0)) )
| ~ p603(X0)
| ~ sP31(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49])],[f85,f86]) ).
fof(f86,plain,
! [X0] :
( ? [X1] :
( ~ p103(X1)
& r1(X0,X1) )
=> ( ~ p103(sK49(X0))
& r1(X0,sK49(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X0] :
( ? [X1] :
( ~ p103(X1)
& r1(X0,X1) )
| ~ p603(X0)
| ~ sP31(X0) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
! [X11] :
( ? [X22] :
( ~ p103(X22)
& r1(X11,X22) )
| ~ p603(X11)
| ~ sP31(X11) ),
inference(nnf_transformation,[],[f39]) ).
fof(f1162,plain,
( p103(sK49(sK91))
| ~ spl98_82 ),
inference(avatar_component_clause,[],[f1160]) ).
fof(f1636,plain,
( ~ spl98_32
| ~ spl98_33
| ~ spl98_170 ),
inference(avatar_split_clause,[],[f1635,f1631,f616,f612]) ).
fof(f612,plain,
( spl98_32
<=> sP33(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_32])]) ).
fof(f1631,plain,
( spl98_170
<=> p103(sK47(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_170])]) ).
fof(f1635,plain,
( ~ p403(sK91)
| ~ sP33(sK91)
| ~ spl98_170 ),
inference(resolution,[],[f1633,f312]) ).
fof(f312,plain,
! [X0] :
( ~ p103(sK47(X0))
| ~ p403(X0)
| ~ sP33(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ( ~ p103(sK47(X0))
& r1(X0,sK47(X0)) )
| ~ p403(X0)
| ~ sP33(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47])],[f77,f78]) ).
fof(f78,plain,
! [X0] :
( ? [X1] :
( ~ p103(X1)
& r1(X0,X1) )
=> ( ~ p103(sK47(X0))
& r1(X0,sK47(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0] :
( ? [X1] :
( ~ p103(X1)
& r1(X0,X1) )
| ~ p403(X0)
| ~ sP33(X0) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
! [X11] :
( ? [X20] :
( ~ p103(X20)
& r1(X11,X20) )
| ~ p403(X11)
| ~ sP33(X11) ),
inference(nnf_transformation,[],[f41]) ).
fof(f1633,plain,
( p103(sK47(sK91))
| ~ spl98_170 ),
inference(avatar_component_clause,[],[f1631]) ).
fof(f1634,plain,
( spl98_170
| ~ spl98_32
| ~ spl98_33
| ~ spl98_2 ),
inference(avatar_split_clause,[],[f513,f425,f616,f612,f1631]) ).
fof(f513,plain,
( ~ p403(sK91)
| ~ sP33(sK91)
| p103(sK47(sK91))
| ~ spl98_2 ),
inference(resolution,[],[f311,f426]) ).
fof(f311,plain,
! [X0] :
( r1(X0,sK47(X0))
| ~ p403(X0)
| ~ sP33(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f1627,plain,
( ~ spl98_73
| ~ spl98_42
| ~ spl98_169 ),
inference(avatar_split_clause,[],[f1626,f1622,f682,f1037]) ).
fof(f1037,plain,
( spl98_73
<=> sP23(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_73])]) ).
fof(f1622,plain,
( spl98_169
<=> p204(sK57(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_169])]) ).
fof(f1626,plain,
( ~ p404(sK91)
| ~ sP23(sK91)
| ~ spl98_169 ),
inference(resolution,[],[f1624,f332]) ).
fof(f332,plain,
! [X0] :
( ~ p204(sK57(X0))
| ~ p404(X0)
| ~ sP23(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ( ~ p204(sK57(X0))
& r1(X0,sK57(X0)) )
| ~ p404(X0)
| ~ sP23(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK57])],[f117,f118]) ).
fof(f118,plain,
! [X0] :
( ? [X1] :
( ~ p204(X1)
& r1(X0,X1) )
=> ( ~ p204(sK57(X0))
& r1(X0,sK57(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
! [X0] :
( ? [X1] :
( ~ p204(X1)
& r1(X0,X1) )
| ~ p404(X0)
| ~ sP23(X0) ),
inference(rectify,[],[f116]) ).
fof(f116,plain,
! [X11] :
( ? [X36] :
( ~ p204(X36)
& r1(X11,X36) )
| ~ p404(X11)
| ~ sP23(X11) ),
inference(nnf_transformation,[],[f31]) ).
fof(f1624,plain,
( p204(sK57(sK91))
| ~ spl98_169 ),
inference(avatar_component_clause,[],[f1622]) ).
fof(f1625,plain,
( ~ spl98_73
| ~ spl98_42
| spl98_169
| ~ spl98_8 ),
inference(avatar_split_clause,[],[f847,f449,f1622,f682,f1037]) ).
fof(f847,plain,
( p204(sK57(sK91))
| ~ p404(sK91)
| ~ sP23(sK91)
| ~ spl98_8 ),
inference(resolution,[],[f450,f331]) ).
fof(f331,plain,
! [X0] :
( r1(X0,sK57(X0))
| ~ p404(X0)
| ~ sP23(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f1598,plain,
( ~ spl98_98
| ~ spl98_49
| ~ spl98_164 ),
inference(avatar_split_clause,[],[f1597,f1593,f719,f1260]) ).
fof(f1260,plain,
( spl98_98
<=> sP10(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_98])]) ).
fof(f1593,plain,
( spl98_164
<=> p405(sK70(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_164])]) ).
fof(f1597,plain,
( ~ p605(sK91)
| ~ sP10(sK91)
| ~ spl98_164 ),
inference(resolution,[],[f1595,f358]) ).
fof(f358,plain,
! [X0] :
( ~ p405(sK70(X0))
| ~ p605(X0)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0] :
( ( ~ p405(sK70(X0))
& r1(X0,sK70(X0)) )
| ~ p605(X0)
| ~ sP10(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK70])],[f169,f170]) ).
fof(f170,plain,
! [X0] :
( ? [X1] :
( ~ p405(X1)
& r1(X0,X1) )
=> ( ~ p405(sK70(X0))
& r1(X0,sK70(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
! [X0] :
( ? [X1] :
( ~ p405(X1)
& r1(X0,X1) )
| ~ p605(X0)
| ~ sP10(X0) ),
inference(rectify,[],[f168]) ).
fof(f168,plain,
! [X11] :
( ? [X61] :
( ~ p405(X61)
& r1(X11,X61) )
| ~ p605(X11)
| ~ sP10(X11) ),
inference(nnf_transformation,[],[f18]) ).
fof(f1595,plain,
( p405(sK70(sK91))
| ~ spl98_164 ),
inference(avatar_component_clause,[],[f1593]) ).
fof(f1596,plain,
( ~ spl98_98
| ~ spl98_49
| spl98_164
| ~ spl98_68 ),
inference(avatar_split_clause,[],[f1122,f1006,f1593,f719,f1260]) ).
fof(f1122,plain,
( p405(sK70(sK91))
| ~ p605(sK91)
| ~ sP10(sK91)
| ~ spl98_68 ),
inference(resolution,[],[f1007,f357]) ).
fof(f357,plain,
! [X0] :
( r1(X0,sK70(X0))
| ~ p605(X0)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f1527,plain,
spl98_149,
inference(avatar_contradiction_clause,[],[f1526]) ).
fof(f1526,plain,
( $false
| spl98_149 ),
inference(resolution,[],[f1525,f419]) ).
fof(f1525,plain,
( ~ sP40(sK91)
| spl98_149 ),
inference(resolution,[],[f1519,f229]) ).
fof(f229,plain,
! [X0] :
( sP0(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1519,plain,
( ~ sP0(sK91)
| spl98_149 ),
inference(avatar_component_clause,[],[f1517]) ).
fof(f1502,plain,
spl98_144,
inference(avatar_contradiction_clause,[],[f1501]) ).
fof(f1501,plain,
( $false
| spl98_144 ),
inference(resolution,[],[f1500,f419]) ).
fof(f1500,plain,
( ~ sP40(sK91)
| spl98_144 ),
inference(resolution,[],[f1494,f232]) ).
fof(f232,plain,
! [X0] :
( sP1(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1494,plain,
( ~ sP1(sK91)
| spl98_144 ),
inference(avatar_component_clause,[],[f1492]) ).
fof(f1477,plain,
spl98_139,
inference(avatar_contradiction_clause,[],[f1476]) ).
fof(f1476,plain,
( $false
| spl98_139 ),
inference(resolution,[],[f1475,f419]) ).
fof(f1475,plain,
( ~ sP40(sK91)
| spl98_139 ),
inference(resolution,[],[f1469,f233]) ).
fof(f233,plain,
! [X0] :
( sP2(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1469,plain,
( ~ sP2(sK91)
| spl98_139 ),
inference(avatar_component_clause,[],[f1467]) ).
fof(f1452,plain,
spl98_134,
inference(avatar_contradiction_clause,[],[f1451]) ).
fof(f1451,plain,
( $false
| spl98_134 ),
inference(resolution,[],[f1450,f419]) ).
fof(f1450,plain,
( ~ sP40(sK91)
| spl98_134 ),
inference(resolution,[],[f1444,f236]) ).
fof(f236,plain,
! [X0] :
( sP3(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1444,plain,
( ~ sP3(sK91)
| spl98_134 ),
inference(avatar_component_clause,[],[f1442]) ).
fof(f1427,plain,
spl98_129,
inference(avatar_contradiction_clause,[],[f1426]) ).
fof(f1426,plain,
( $false
| spl98_129 ),
inference(resolution,[],[f1425,f419]) ).
fof(f1425,plain,
( ~ sP40(sK91)
| spl98_129 ),
inference(resolution,[],[f1419,f237]) ).
fof(f237,plain,
! [X0] :
( sP4(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1419,plain,
( ~ sP4(sK91)
| spl98_129 ),
inference(avatar_component_clause,[],[f1417]) ).
fof(f1402,plain,
spl98_124,
inference(avatar_contradiction_clause,[],[f1401]) ).
fof(f1401,plain,
( $false
| spl98_124 ),
inference(resolution,[],[f1400,f419]) ).
fof(f1400,plain,
( ~ sP40(sK91)
| spl98_124 ),
inference(resolution,[],[f1394,f238]) ).
fof(f238,plain,
! [X0] :
( sP5(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1394,plain,
( ~ sP5(sK91)
| spl98_124 ),
inference(avatar_component_clause,[],[f1392]) ).
fof(f1377,plain,
spl98_119,
inference(avatar_contradiction_clause,[],[f1376]) ).
fof(f1376,plain,
( $false
| spl98_119 ),
inference(resolution,[],[f1375,f419]) ).
fof(f1375,plain,
( ~ sP40(sK91)
| spl98_119 ),
inference(resolution,[],[f1369,f248]) ).
fof(f248,plain,
! [X0] :
( sP6(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1369,plain,
( ~ sP6(sK91)
| spl98_119 ),
inference(avatar_component_clause,[],[f1367]) ).
fof(f1352,plain,
spl98_114,
inference(avatar_contradiction_clause,[],[f1351]) ).
fof(f1351,plain,
( $false
| spl98_114 ),
inference(resolution,[],[f1350,f419]) ).
fof(f1350,plain,
( ~ sP40(sK91)
| spl98_114 ),
inference(resolution,[],[f1344,f252]) ).
fof(f252,plain,
! [X0] :
( sP7(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1344,plain,
( ~ sP7(sK91)
| spl98_114 ),
inference(avatar_component_clause,[],[f1342]) ).
fof(f1327,plain,
spl98_109,
inference(avatar_contradiction_clause,[],[f1326]) ).
fof(f1326,plain,
( $false
| spl98_109 ),
inference(resolution,[],[f1325,f419]) ).
fof(f1325,plain,
( ~ sP40(sK91)
| spl98_109 ),
inference(resolution,[],[f1319,f253]) ).
fof(f253,plain,
! [X0] :
( sP8(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1319,plain,
( ~ sP8(sK91)
| spl98_109 ),
inference(avatar_component_clause,[],[f1317]) ).
fof(f1302,plain,
spl98_104,
inference(avatar_contradiction_clause,[],[f1301]) ).
fof(f1301,plain,
( $false
| spl98_104 ),
inference(resolution,[],[f1300,f419]) ).
fof(f1300,plain,
( ~ sP40(sK91)
| spl98_104 ),
inference(resolution,[],[f1294,f268]) ).
fof(f268,plain,
! [X0] :
( sP9(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1294,plain,
( ~ sP9(sK91)
| spl98_104 ),
inference(avatar_component_clause,[],[f1292]) ).
fof(f1266,plain,
spl98_98,
inference(avatar_contradiction_clause,[],[f1265]) ).
fof(f1265,plain,
( $false
| spl98_98 ),
inference(resolution,[],[f1264,f419]) ).
fof(f1264,plain,
( ~ sP40(sK91)
| spl98_98 ),
inference(resolution,[],[f1262,f225]) ).
fof(f225,plain,
! [X0] :
( sP10(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1262,plain,
( ~ sP10(sK91)
| spl98_98 ),
inference(avatar_component_clause,[],[f1260]) ).
fof(f1253,plain,
( ~ spl98_35
| ~ spl98_36
| ~ spl98_81 ),
inference(avatar_split_clause,[],[f1252,f1154,f638,f634]) ).
fof(f634,plain,
( spl98_35
<=> sP32(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_35])]) ).
fof(f1154,plain,
( spl98_81
<=> p103(sK48(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_81])]) ).
fof(f1252,plain,
( ~ p503(sK91)
| ~ sP32(sK91)
| ~ spl98_81 ),
inference(resolution,[],[f1156,f314]) ).
fof(f314,plain,
! [X0] :
( ~ p103(sK48(X0))
| ~ p503(X0)
| ~ sP32(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ( ~ p103(sK48(X0))
& r1(X0,sK48(X0)) )
| ~ p503(X0)
| ~ sP32(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48])],[f81,f82]) ).
fof(f82,plain,
! [X0] :
( ? [X1] :
( ~ p103(X1)
& r1(X0,X1) )
=> ( ~ p103(sK48(X0))
& r1(X0,sK48(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0] :
( ? [X1] :
( ~ p103(X1)
& r1(X0,X1) )
| ~ p503(X0)
| ~ sP32(X0) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X11] :
( ? [X21] :
( ~ p103(X21)
& r1(X11,X21) )
| ~ p503(X11)
| ~ sP32(X11) ),
inference(nnf_transformation,[],[f40]) ).
fof(f1156,plain,
( p103(sK48(sK91))
| ~ spl98_81 ),
inference(avatar_component_clause,[],[f1154]) ).
fof(f1251,plain,
spl98_96,
inference(avatar_contradiction_clause,[],[f1250]) ).
fof(f1250,plain,
( $false
| spl98_96 ),
inference(resolution,[],[f1246,f419]) ).
fof(f1246,plain,
( ~ sP40(sK91)
| spl98_96 ),
inference(resolution,[],[f1244,f227]) ).
fof(f227,plain,
! [X0] :
( sP12(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1244,plain,
( ~ sP12(sK91)
| spl98_96 ),
inference(avatar_component_clause,[],[f1242]) ).
fof(f1248,plain,
spl98_94,
inference(avatar_contradiction_clause,[],[f1247]) ).
fof(f1247,plain,
( $false
| spl98_94 ),
inference(resolution,[],[f1236,f419]) ).
fof(f1236,plain,
( ~ sP40(sK91)
| spl98_94 ),
inference(resolution,[],[f1234,f230]) ).
fof(f230,plain,
! [X0] :
( sP14(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1234,plain,
( ~ sP14(sK91)
| spl98_94 ),
inference(avatar_component_clause,[],[f1232]) ).
fof(f1226,plain,
spl98_92,
inference(avatar_contradiction_clause,[],[f1225]) ).
fof(f1225,plain,
( $false
| spl98_92 ),
inference(resolution,[],[f1221,f419]) ).
fof(f1221,plain,
( ~ sP40(sK91)
| spl98_92 ),
inference(resolution,[],[f1219,f228]) ).
fof(f228,plain,
! [X0] :
( sP13(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1219,plain,
( ~ sP13(sK91)
| spl98_92 ),
inference(avatar_component_clause,[],[f1217]) ).
fof(f1223,plain,
spl98_90,
inference(avatar_contradiction_clause,[],[f1222]) ).
fof(f1222,plain,
( $false
| spl98_90 ),
inference(resolution,[],[f1211,f419]) ).
fof(f1211,plain,
( ~ sP40(sK91)
| spl98_90 ),
inference(resolution,[],[f1209,f231]) ).
fof(f231,plain,
! [X0] :
( sP15(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1209,plain,
( ~ sP15(sK91)
| spl98_90 ),
inference(avatar_component_clause,[],[f1207]) ).
fof(f1200,plain,
spl98_88,
inference(avatar_contradiction_clause,[],[f1199]) ).
fof(f1199,plain,
( $false
| spl98_88 ),
inference(resolution,[],[f1198,f419]) ).
fof(f1198,plain,
( ~ sP40(sK91)
| spl98_88 ),
inference(resolution,[],[f1196,f242]) ).
fof(f242,plain,
! [X0] :
( sP18(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1196,plain,
( ~ sP18(sK91)
| spl98_88 ),
inference(avatar_component_clause,[],[f1194]) ).
fof(f1176,plain,
spl98_84,
inference(avatar_contradiction_clause,[],[f1175]) ).
fof(f1175,plain,
( $false
| spl98_84 ),
inference(resolution,[],[f1174,f419]) ).
fof(f1174,plain,
( ~ sP40(sK91)
| spl98_84 ),
inference(resolution,[],[f1172,f243]) ).
fof(f243,plain,
! [X0] :
( sP19(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1172,plain,
( ~ sP19(sK91)
| spl98_84 ),
inference(avatar_component_clause,[],[f1170]) ).
fof(f1163,plain,
( spl98_82
| ~ spl98_38
| ~ spl98_39
| ~ spl98_2 ),
inference(avatar_split_clause,[],[f531,f425,f662,f658,f1160]) ).
fof(f531,plain,
( ~ p603(sK91)
| ~ sP31(sK91)
| p103(sK49(sK91))
| ~ spl98_2 ),
inference(resolution,[],[f315,f426]) ).
fof(f315,plain,
! [X0] :
( r1(X0,sK49(X0))
| ~ p603(X0)
| ~ sP31(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f1157,plain,
( spl98_81
| ~ spl98_35
| ~ spl98_36
| ~ spl98_2 ),
inference(avatar_split_clause,[],[f515,f425,f638,f634,f1154]) ).
fof(f515,plain,
( ~ p503(sK91)
| ~ sP32(sK91)
| p103(sK48(sK91))
| ~ spl98_2 ),
inference(resolution,[],[f313,f426]) ).
fof(f313,plain,
! [X0] :
( r1(X0,sK48(X0))
| ~ p503(X0)
| ~ sP32(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f1085,plain,
( ~ spl98_55
| ~ spl98_27
| ~ spl98_21 ),
inference(avatar_split_clause,[],[f1065,f526,f570,f757]) ).
fof(f1065,plain,
( ~ p602(sK91)
| ~ sP40(sK91)
| ~ spl98_21 ),
inference(resolution,[],[f527,f270]) ).
fof(f270,plain,
! [X0] :
( ~ p402(X0)
| ~ p602(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f527,plain,
( p402(sK91)
| ~ spl98_21 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f1084,plain,
spl98_79,
inference(avatar_contradiction_clause,[],[f1083]) ).
fof(f1083,plain,
( $false
| spl98_79 ),
inference(resolution,[],[f1082,f419]) ).
fof(f1082,plain,
( ~ sP40(sK91)
| spl98_79 ),
inference(resolution,[],[f1080,f234]) ).
fof(f234,plain,
! [X0] :
( sP16(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1080,plain,
( ~ sP16(sK91)
| spl98_79 ),
inference(avatar_component_clause,[],[f1078]) ).
fof(f1072,plain,
( ~ spl98_55
| ~ spl98_50
| ~ spl98_52 ),
inference(avatar_split_clause,[],[f1071,f732,f723,f757]) ).
fof(f1071,plain,
( ~ p601(sK91)
| ~ sP40(sK91)
| ~ spl98_52 ),
inference(resolution,[],[f734,f284]) ).
fof(f284,plain,
! [X0] :
( ~ p501(X0)
| ~ p601(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f734,plain,
( p501(sK91)
| ~ spl98_52 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f1070,plain,
spl98_77,
inference(avatar_contradiction_clause,[],[f1069]) ).
fof(f1069,plain,
( $false
| spl98_77 ),
inference(resolution,[],[f1066,f419]) ).
fof(f1066,plain,
( ~ sP40(sK91)
| spl98_77 ),
inference(resolution,[],[f1059,f235]) ).
fof(f235,plain,
! [X0] :
( sP17(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1059,plain,
( ~ sP17(sK91)
| spl98_77 ),
inference(avatar_component_clause,[],[f1057]) ).
fof(f1068,plain,
spl98_75,
inference(avatar_contradiction_clause,[],[f1067]) ).
fof(f1067,plain,
( $false
| spl98_75 ),
inference(resolution,[],[f1051,f419]) ).
fof(f1051,plain,
( ~ sP40(sK91)
| spl98_75 ),
inference(resolution,[],[f1049,f244]) ).
fof(f244,plain,
! [X0] :
( sP20(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1049,plain,
( ~ sP20(sK91)
| spl98_75 ),
inference(avatar_component_clause,[],[f1047]) ).
fof(f1062,plain,
spl98_73,
inference(avatar_contradiction_clause,[],[f1061]) ).
fof(f1061,plain,
( $false
| spl98_73 ),
inference(resolution,[],[f1041,f419]) ).
fof(f1041,plain,
( ~ sP40(sK91)
| spl98_73 ),
inference(resolution,[],[f1039,f247]) ).
fof(f247,plain,
! [X0] :
( sP23(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1039,plain,
( ~ sP23(sK91)
| spl98_73 ),
inference(avatar_component_clause,[],[f1037]) ).
fof(f1029,plain,
spl98_71,
inference(avatar_contradiction_clause,[],[f1028]) ).
fof(f1028,plain,
( $false
| spl98_71 ),
inference(resolution,[],[f1027,f419]) ).
fof(f1027,plain,
( ~ sP40(sK91)
| spl98_71 ),
inference(resolution,[],[f1025,f262]) ).
fof(f262,plain,
! [X0] :
( sP29(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1025,plain,
( ~ sP29(sK91)
| spl98_71 ),
inference(avatar_component_clause,[],[f1023]) ).
fof(f1015,plain,
( ~ spl98_55
| ~ spl98_24
| ~ spl98_21 ),
inference(avatar_split_clause,[],[f1013,f526,f548,f757]) ).
fof(f1013,plain,
( ~ p502(sK91)
| ~ sP40(sK91)
| ~ spl98_21 ),
inference(resolution,[],[f527,f271]) ).
fof(f271,plain,
! [X0] :
( ~ p402(X0)
| ~ p502(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1012,plain,
( spl98_68
| spl98_42
| spl98_33
| spl98_21
| spl98_69 ),
inference(avatar_split_clause,[],[f402,f1009,f526,f616,f682,f1006]) ).
fof(f402,plain,
! [X10] :
( p401(sK91)
| p402(sK91)
| p403(sK91)
| p404(sK91)
| p405(X10)
| ~ r1(sK91,X10) ),
inference(cnf_transformation,[],[f223]) ).
fof(f1000,plain,
spl98_67,
inference(avatar_contradiction_clause,[],[f999]) ).
fof(f999,plain,
( $false
| spl98_67 ),
inference(resolution,[],[f994,f419]) ).
fof(f994,plain,
( ~ sP40(sK91)
| spl98_67 ),
inference(resolution,[],[f992,f245]) ).
fof(f245,plain,
! [X0] :
( sP21(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f992,plain,
( ~ sP21(sK91)
| spl98_67 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f959,plain,
spl98_65,
inference(avatar_contradiction_clause,[],[f958]) ).
fof(f958,plain,
( $false
| spl98_65 ),
inference(resolution,[],[f957,f419]) ).
fof(f957,plain,
( ~ sP40(sK91)
| spl98_65 ),
inference(resolution,[],[f951,f246]) ).
fof(f246,plain,
! [X0] :
( sP22(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f951,plain,
( ~ sP22(sK91)
| spl98_65 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f888,plain,
( ~ spl98_11
| spl98_62
| spl98_30
| spl98_18
| spl98_63 ),
inference(avatar_split_clause,[],[f418,f885,f502,f594,f882,f461]) ).
fof(f461,plain,
( spl98_11
<=> sP97 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_11])]) ).
fof(f418,plain,
! [X9] :
( p301(sK91)
| p302(sK91)
| p303(sK91)
| p305(X9)
| ~ r1(sK91,X9)
| ~ sP97 ),
inference(general_splitting,[],[f403,f417_D]) ).
fof(f417,plain,
! [X8] :
( p304(X8)
| ~ r1(sK91,X8)
| sP97 ),
inference(cnf_transformation,[],[f417_D]) ).
fof(f417_D,plain,
( ! [X8] :
( p304(X8)
| ~ r1(sK91,X8) )
<=> ~ sP97 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP97])]) ).
fof(f403,plain,
! [X8,X9] :
( p301(sK91)
| p302(sK91)
| p303(sK91)
| p304(X8)
| ~ r1(sK91,X8)
| p305(X9)
| ~ r1(sK91,X9) ),
inference(cnf_transformation,[],[f223]) ).
fof(f829,plain,
( ~ spl98_9
| ~ spl98_7
| spl98_60
| spl98_15
| spl98_61 ),
inference(avatar_split_clause,[],[f416,f826,f480,f823,f445,f453]) ).
fof(f453,plain,
( spl98_9
<=> sP96 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_9])]) ).
fof(f445,plain,
( spl98_7
<=> sP95 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_7])]) ).
fof(f416,plain,
! [X5] :
( p201(sK91)
| p202(sK91)
| p203(X5)
| ~ r1(sK91,X5)
| ~ sP95
| ~ sP96 ),
inference(general_splitting,[],[f414,f415_D]) ).
fof(f415,plain,
! [X7] :
( p205(X7)
| ~ r1(sK91,X7)
| sP96 ),
inference(cnf_transformation,[],[f415_D]) ).
fof(f415_D,plain,
( ! [X7] :
( p205(X7)
| ~ r1(sK91,X7) )
<=> ~ sP96 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP96])]) ).
fof(f414,plain,
! [X7,X5] :
( p201(sK91)
| p202(sK91)
| p203(X5)
| ~ r1(sK91,X5)
| p205(X7)
| ~ r1(sK91,X7)
| ~ sP95 ),
inference(general_splitting,[],[f404,f413_D]) ).
fof(f413,plain,
! [X6] :
( p204(X6)
| ~ r1(sK91,X6)
| sP95 ),
inference(cnf_transformation,[],[f413_D]) ).
fof(f413_D,plain,
( ! [X6] :
( p204(X6)
| ~ r1(sK91,X6) )
<=> ~ sP95 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP95])]) ).
fof(f404,plain,
! [X6,X7,X5] :
( p201(sK91)
| p202(sK91)
| p203(X5)
| ~ r1(sK91,X5)
| p204(X6)
| ~ r1(sK91,X6)
| p205(X7)
| ~ r1(sK91,X7) ),
inference(cnf_transformation,[],[f223]) ).
fof(f810,plain,
spl98_59,
inference(avatar_contradiction_clause,[],[f809]) ).
fof(f809,plain,
( $false
| spl98_59 ),
inference(resolution,[],[f808,f419]) ).
fof(f808,plain,
( ~ sP40(sK91)
| spl98_59 ),
inference(resolution,[],[f804,f260]) ).
fof(f260,plain,
! [X0] :
( sP27(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f804,plain,
( ~ sP27(sK91)
| spl98_59 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f785,plain,
spl98_57,
inference(avatar_contradiction_clause,[],[f784]) ).
fof(f784,plain,
( $false
| spl98_57 ),
inference(resolution,[],[f781,f419]) ).
fof(f781,plain,
( ~ sP40(sK91)
| spl98_57 ),
inference(resolution,[],[f777,f261]) ).
fof(f261,plain,
! [X0] :
( sP28(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f777,plain,
( ~ sP28(sK91)
| spl98_57 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f764,plain,
spl98_55,
inference(avatar_contradiction_clause,[],[f763]) ).
fof(f763,plain,
( $false
| spl98_55 ),
inference(resolution,[],[f759,f419]) ).
fof(f759,plain,
( ~ sP40(sK91)
| spl98_55 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f760,plain,
( ~ spl98_55
| ~ spl98_27
| ~ spl98_24 ),
inference(avatar_split_clause,[],[f736,f548,f570,f757]) ).
fof(f736,plain,
( ~ p602(sK91)
| ~ sP40(sK91)
| ~ spl98_24 ),
inference(resolution,[],[f549,f269]) ).
fof(f269,plain,
! [X0] :
( ~ p502(X0)
| ~ p602(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f549,plain,
( p502(sK91)
| ~ spl98_24 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f749,plain,
spl98_47,
inference(avatar_contradiction_clause,[],[f748]) ).
fof(f748,plain,
( $false
| spl98_47 ),
inference(resolution,[],[f737,f419]) ).
fof(f737,plain,
( ~ sP40(sK91)
| spl98_47 ),
inference(resolution,[],[f712,f249]) ).
fof(f249,plain,
! [X0] :
( sP24(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f712,plain,
( ~ sP24(sK91)
| spl98_47 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f745,plain,
( ~ spl98_5
| ~ spl98_3
| ~ spl98_1
| spl98_53
| spl98_54 ),
inference(avatar_split_clause,[],[f412,f742,f739,f421,f429,f437]) ).
fof(f437,plain,
( spl98_5
<=> sP94 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_5])]) ).
fof(f429,plain,
( spl98_3
<=> sP93 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_3])]) ).
fof(f421,plain,
( spl98_1
<=> sP92 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_1])]) ).
fof(f412,plain,
! [X4] :
( p101(sK91)
| p105(X4)
| ~ r1(sK91,X4)
| ~ sP92
| ~ sP93
| ~ sP94 ),
inference(general_splitting,[],[f410,f411_D]) ).
fof(f411,plain,
! [X1] :
( p102(X1)
| ~ r1(sK91,X1)
| sP94 ),
inference(cnf_transformation,[],[f411_D]) ).
fof(f411_D,plain,
( ! [X1] :
( p102(X1)
| ~ r1(sK91,X1) )
<=> ~ sP94 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP94])]) ).
fof(f410,plain,
! [X1,X4] :
( p101(sK91)
| p102(X1)
| ~ r1(sK91,X1)
| p105(X4)
| ~ r1(sK91,X4)
| ~ sP92
| ~ sP93 ),
inference(general_splitting,[],[f408,f409_D]) ).
fof(f409,plain,
! [X3] :
( p104(X3)
| ~ r1(sK91,X3)
| sP93 ),
inference(cnf_transformation,[],[f409_D]) ).
fof(f409_D,plain,
( ! [X3] :
( p104(X3)
| ~ r1(sK91,X3) )
<=> ~ sP93 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP93])]) ).
fof(f408,plain,
! [X3,X1,X4] :
( p101(sK91)
| p102(X1)
| ~ r1(sK91,X1)
| p104(X3)
| ~ r1(sK91,X3)
| p105(X4)
| ~ r1(sK91,X4)
| ~ sP92 ),
inference(general_splitting,[],[f405,f407_D]) ).
fof(f407,plain,
! [X2] :
( p103(X2)
| ~ r1(sK91,X2)
| sP92 ),
inference(cnf_transformation,[],[f407_D]) ).
fof(f407_D,plain,
( ! [X2] :
( p103(X2)
| ~ r1(sK91,X2) )
<=> ~ sP92 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP92])]) ).
fof(f405,plain,
! [X2,X3,X1,X4] :
( p101(sK91)
| p102(X1)
| ~ r1(sK91,X1)
| p103(X2)
| ~ r1(sK91,X2)
| p104(X3)
| ~ r1(sK91,X3)
| p105(X4)
| ~ r1(sK91,X4) ),
inference(cnf_transformation,[],[f223]) ).
fof(f735,plain,
( spl98_51
| spl98_45
| spl98_36
| spl98_24
| spl98_52 ),
inference(avatar_split_clause,[],[f401,f732,f548,f638,f698,f728]) ).
fof(f401,plain,
( p501(sK91)
| p502(sK91)
| p503(sK91)
| p504(sK91)
| p505(sK91) ),
inference(cnf_transformation,[],[f223]) ).
fof(f726,plain,
( spl98_49
| spl98_48
| spl98_39
| spl98_27
| spl98_50 ),
inference(avatar_split_clause,[],[f400,f723,f570,f662,f714,f719]) ).
fof(f400,plain,
( p601(sK91)
| p602(sK91)
| p603(sK91)
| p604(sK91)
| p605(sK91) ),
inference(cnf_transformation,[],[f223]) ).
fof(f704,plain,
spl98_44,
inference(avatar_contradiction_clause,[],[f703]) ).
fof(f703,plain,
( $false
| spl98_44 ),
inference(resolution,[],[f702,f419]) ).
fof(f702,plain,
( ~ sP40(sK91)
| spl98_44 ),
inference(resolution,[],[f696,f250]) ).
fof(f250,plain,
! [X0] :
( sP25(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f696,plain,
( ~ sP25(sK91)
| spl98_44 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f688,plain,
spl98_41,
inference(avatar_contradiction_clause,[],[f687]) ).
fof(f687,plain,
( $false
| spl98_41 ),
inference(resolution,[],[f686,f419]) ).
fof(f686,plain,
( ~ sP40(sK91)
| spl98_41 ),
inference(resolution,[],[f680,f251]) ).
fof(f251,plain,
! [X0] :
( sP26(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f680,plain,
( ~ sP26(sK91)
| spl98_41 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f670,plain,
spl98_38,
inference(avatar_contradiction_clause,[],[f669]) ).
fof(f669,plain,
( $false
| spl98_38 ),
inference(resolution,[],[f666,f419]) ).
fof(f666,plain,
( ~ sP40(sK91)
| spl98_38 ),
inference(resolution,[],[f660,f264]) ).
fof(f264,plain,
! [X0] :
( sP31(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f660,plain,
( ~ sP31(sK91)
| spl98_38 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f648,plain,
spl98_35,
inference(avatar_contradiction_clause,[],[f647]) ).
fof(f647,plain,
( $false
| spl98_35 ),
inference(resolution,[],[f644,f419]) ).
fof(f644,plain,
( ~ sP40(sK91)
| spl98_35 ),
inference(resolution,[],[f636,f265]) ).
fof(f265,plain,
! [X0] :
( sP32(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f636,plain,
( ~ sP32(sK91)
| spl98_35 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f624,plain,
spl98_32,
inference(avatar_contradiction_clause,[],[f623]) ).
fof(f623,plain,
( $false
| spl98_32 ),
inference(resolution,[],[f622,f419]) ).
fof(f622,plain,
( ~ sP40(sK91)
| spl98_32 ),
inference(resolution,[],[f614,f266]) ).
fof(f266,plain,
! [X0] :
( sP33(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f614,plain,
( ~ sP33(sK91)
| spl98_32 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f602,plain,
spl98_29,
inference(avatar_contradiction_clause,[],[f601]) ).
fof(f601,plain,
( $false
| spl98_29 ),
inference(resolution,[],[f598,f419]) ).
fof(f598,plain,
( ~ sP40(sK91)
| spl98_29 ),
inference(resolution,[],[f592,f267]) ).
fof(f267,plain,
! [X0] :
( sP34(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f592,plain,
( ~ sP34(sK91)
| spl98_29 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f580,plain,
spl98_26,
inference(avatar_contradiction_clause,[],[f579]) ).
fof(f579,plain,
( $false
| spl98_26 ),
inference(resolution,[],[f576,f419]) ).
fof(f576,plain,
( ~ sP40(sK91)
| spl98_26 ),
inference(resolution,[],[f568,f279]) ).
fof(f279,plain,
! [X0] :
( sP35(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f568,plain,
( ~ sP35(sK91)
| spl98_26 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f556,plain,
spl98_23,
inference(avatar_contradiction_clause,[],[f555]) ).
fof(f555,plain,
( $false
| spl98_23 ),
inference(resolution,[],[f554,f419]) ).
fof(f554,plain,
( ~ sP40(sK91)
| spl98_23 ),
inference(resolution,[],[f546,f280]) ).
fof(f280,plain,
! [X0] :
( sP36(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f546,plain,
( ~ sP36(sK91)
| spl98_23 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f534,plain,
spl98_20,
inference(avatar_contradiction_clause,[],[f533]) ).
fof(f533,plain,
( $false
| spl98_20 ),
inference(resolution,[],[f530,f419]) ).
fof(f530,plain,
( ~ sP40(sK91)
| spl98_20 ),
inference(resolution,[],[f524,f281]) ).
fof(f281,plain,
! [X0] :
( sP37(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f524,plain,
( ~ sP37(sK91)
| spl98_20 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f512,plain,
spl98_17,
inference(avatar_contradiction_clause,[],[f511]) ).
fof(f511,plain,
( $false
| spl98_17 ),
inference(resolution,[],[f508,f419]) ).
fof(f508,plain,
( ~ sP40(sK91)
| spl98_17 ),
inference(resolution,[],[f500,f282]) ).
fof(f282,plain,
! [X0] :
( sP38(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f500,plain,
( ~ sP38(sK91)
| spl98_17 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f488,plain,
spl98_14,
inference(avatar_contradiction_clause,[],[f487]) ).
fof(f487,plain,
( $false
| spl98_14 ),
inference(resolution,[],[f486,f419]) ).
fof(f486,plain,
( ~ sP40(sK91)
| spl98_14 ),
inference(resolution,[],[f478,f283]) ).
fof(f283,plain,
! [X0] :
( sP39(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f478,plain,
( ~ sP39(sK91)
| spl98_14 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f467,plain,
( spl98_11
| spl98_12 ),
inference(avatar_split_clause,[],[f417,f465,f461]) ).
fof(f459,plain,
( spl98_9
| spl98_10 ),
inference(avatar_split_clause,[],[f415,f457,f453]) ).
fof(f451,plain,
( spl98_7
| spl98_8 ),
inference(avatar_split_clause,[],[f413,f449,f445]) ).
fof(f443,plain,
( spl98_5
| spl98_6 ),
inference(avatar_split_clause,[],[f411,f441,f437]) ).
fof(f435,plain,
( spl98_3
| spl98_4 ),
inference(avatar_split_clause,[],[f409,f433,f429]) ).
fof(f427,plain,
( spl98_1
| spl98_2 ),
inference(avatar_split_clause,[],[f407,f425,f421]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL666+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 13:36:42 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (466)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (473)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (467)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (470)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (469)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.37 % (471)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (468)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [4]
% 0.14/0.39 % (472)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [5]
% 0.14/0.39 TRYING [2]
% 0.14/0.40 TRYING [4]
% 0.14/0.40 TRYING [5]
% 0.14/0.40 TRYING [3]
% 0.21/0.41 TRYING [6]
% 0.21/0.41 TRYING [4]
% 0.21/0.42 TRYING [6]
% 0.21/0.43 TRYING [5]
% 0.21/0.43 TRYING [7]
% 0.21/0.44 TRYING [5]
% 0.21/0.44 TRYING [7]
% 0.21/0.46 % (469)First to succeed.
% 0.21/0.46 TRYING [6]
% 0.21/0.46 TRYING [8]
% 0.21/0.47 TRYING [6]
% 0.21/0.47 TRYING [8]
% 0.21/0.48 % (469)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-466"
% 0.21/0.48 % (469)Refutation found. Thanks to Tanya!
% 0.21/0.48 % SZS status Theorem for theBenchmark
% 0.21/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49 % (469)------------------------------
% 0.21/0.49 % (469)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.49 % (469)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (469)Memory used [KB]: 2418
% 0.21/0.49 % (469)Time elapsed: 0.111 s
% 0.21/0.49 % (469)Instructions burned: 211 (million)
% 0.21/0.49 % (466)Success in time 0.123 s
%------------------------------------------------------------------------------