TSTP Solution File: LCL320-3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL320-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 07:45:19 EDT 2024
% Result : Unsatisfiable 1.51s 0.58s
% Output : Refutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 189
% Syntax : Number of formulae : 634 ( 22 unt; 0 def)
% Number of atoms : 1906 ( 1 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 2366 (1094 ~;1092 |; 0 &)
% ( 180 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 184 ( 182 usr; 181 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 1040 (1040 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3796,plain,
$false,
inference(avatar_sat_refutation,[],[f21,f25,f29,f33,f39,f43,f48,f52,f57,f62,f68,f73,f77,f82,f87,f94,f104,f115,f119,f127,f137,f141,f145,f153,f161,f165,f173,f182,f186,f190,f194,f219,f223,f232,f237,f241,f251,f258,f264,f273,f280,f284,f291,f301,f305,f312,f316,f320,f324,f361,f365,f370,f420,f445,f449,f453,f478,f482,f486,f490,f525,f529,f534,f538,f542,f590,f623,f659,f663,f667,f707,f711,f740,f750,f754,f780,f784,f788,f792,f808,f848,f852,f856,f860,f922,f926,f930,f934,f938,f945,f949,f953,f958,f962,f1048,f1052,f1056,f1060,f1064,f1075,f1076,f1077,f1078,f1079,f1080,f1289,f1516,f1731,f1735,f1739,f1828,f1832,f1841,f1845,f1849,f1853,f1857,f1861,f1865,f1869,f1873,f1877,f2017,f2078,f2082,f2086,f2090,f2094,f2098,f2102,f2106,f2110,f2114,f2118,f2122,f2126,f2130,f2134,f2138,f2142,f2146,f2161,f2429,f2570,f2574,f2578,f2582,f2586,f2590,f2594,f2598,f2602,f2606,f2610,f2614,f2618,f2622,f2626,f2630,f2634,f2638,f2642,f2646,f2650,f2654,f2658,f2662,f2666,f2670,f2935,f3251,f3255,f3259,f3263,f3267,f3271,f3276,f3280,f3284,f3288,f3292,f3296,f3300,f3304,f3795]) ).
fof(f3795,plain,
( spl0_104
| ~ spl0_128 ),
inference(avatar_contradiction_clause,[],[f3786]) ).
fof(f3786,plain,
( $false
| spl0_104
| ~ spl0_128 ),
inference(resolution,[],[f2109,f1730]) ).
fof(f1730,plain,
( ~ theorem(or(or(not(p),q),not(not(p))))
| spl0_104 ),
inference(avatar_component_clause,[],[f1728]) ).
fof(f1728,plain,
( spl0_104
<=> theorem(or(or(not(p),q),not(not(p)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f2109,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(X0)))
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f2108]) ).
fof(f2108,plain,
( spl0_128
<=> ! [X0,X1] : theorem(or(or(X0,X1),not(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f3304,plain,
( spl0_180
| ~ spl0_14
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f600,f588,f80,f3302]) ).
fof(f3302,plain,
( spl0_180
<=> ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(X2,or(not(or(X2,X0)),X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f80,plain,
( spl0_14
<=> ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f588,plain,
( spl0_67
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X0,or(X2,or(X1,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f600,plain,
( ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(X2,or(not(or(X2,X0)),X1))))
| ~ spl0_14
| ~ spl0_67 ),
inference(resolution,[],[f589,f81]) ).
fof(f81,plain,
( ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1))))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f589,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X2,or(X1,X3))))
| theorem(or(X0,or(X1,or(X2,X3)))) )
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f3300,plain,
( spl0_179
| ~ spl0_36
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f597,f588,f239,f3298]) ).
fof(f3298,plain,
( spl0_179
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(not(or(not(X1),X2)),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f239,plain,
( spl0_36
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f597,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(not(or(not(X1),X2)),X2))))
| ~ spl0_36
| ~ spl0_67 ),
inference(resolution,[],[f589,f240]) ).
fof(f240,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2))))
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f3296,plain,
( spl0_178
| ~ spl0_16
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f581,f536,f92,f3294]) ).
fof(f3294,plain,
( spl0_178
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| theorem(or(X1,not(or(not(X2),X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f92,plain,
( spl0_16
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f536,plain,
( spl0_65
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(not(X2),X0)),X1))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f581,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| theorem(or(X1,not(or(not(X2),X0)))) )
| ~ spl0_16
| ~ spl0_65 ),
inference(resolution,[],[f537,f93]) ).
fof(f93,plain,
( ! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f537,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X2),X0)),X1))
| ~ theorem(or(not(X0),X1))
| ~ theorem(X2) )
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f3292,plain,
( spl0_177
| ~ spl0_22
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f565,f527,f139,f3290]) ).
fof(f3290,plain,
( spl0_177
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,not(or(not(X1),not(X1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f139,plain,
( spl0_22
<=> ! [X0] : theorem(or(X0,not(or(X0,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f527,plain,
( spl0_63
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X3))
| ~ theorem(or(not(X3),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f565,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,not(or(not(X1),not(X1)))))) )
| ~ spl0_22
| ~ spl0_63 ),
inference(resolution,[],[f528,f140]) ).
fof(f140,plain,
( ! [X0] : theorem(or(X0,not(or(X0,X0))))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f528,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X3),X2))
| ~ theorem(or(X0,X3))
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f3288,plain,
( spl0_176
| ~ spl0_47
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f554,f527,f310,f3286]) ).
fof(f3286,plain,
( spl0_176
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,or(X1,not(X2))))
| theorem(or(X0,or(X3,X1)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f310,plain,
( spl0_47
<=> ! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f554,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,not(X2))))
| theorem(or(X0,or(X3,X1)))
| ~ theorem(X2) )
| ~ spl0_47
| ~ spl0_63 ),
inference(resolution,[],[f528,f311]) ).
fof(f311,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(X1) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f3284,plain,
( spl0_175
| ~ spl0_16
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f547,f523,f92,f3282]) ).
fof(f3282,plain,
( spl0_175
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(or(not(X0),X1),or(not(X0),X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f523,plain,
( spl0_62
<=> ! [X0,X1] :
( theorem(or(not(or(or(not(X0),X1),or(not(X0),X1))),X1))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f547,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(or(not(X0),X1),or(not(X0),X1))))) )
| ~ spl0_16
| ~ spl0_62 ),
inference(resolution,[],[f524,f93]) ).
fof(f524,plain,
( ! [X0,X1] :
( theorem(or(not(or(or(not(X0),X1),or(not(X0),X1))),X1))
| ~ theorem(X0) )
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f3280,plain,
( spl0_174
| ~ spl0_6
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f507,f480,f41,f3278]) ).
fof(f3278,plain,
( spl0_174
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(X2,not(X1))),X2))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f41,plain,
( spl0_6
<=> ! [X4,X3] :
( ~ theorem(X4)
| theorem(X3)
| ~ theorem(or(not(X4),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f480,plain,
( spl0_59
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(or(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f507,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(X2,not(X1))),X2))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_59 ),
inference(resolution,[],[f481,f42]) ).
fof(f42,plain,
( ! [X3,X4] :
( ~ theorem(or(not(X4),X3))
| theorem(X3)
| ~ theorem(X4) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f481,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f3276,plain,
( ~ spl0_173
| ~ spl0_93
| spl0_166 ),
inference(avatar_split_clause,[],[f3105,f2932,f947,f3273]) ).
fof(f3273,plain,
( spl0_173
<=> theorem(not(not(not(not(p))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f947,plain,
( spl0_93
<=> ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f2932,plain,
( spl0_166
<=> theorem(or(or(q,not(not(p))),q)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f3105,plain,
( ~ theorem(not(not(not(not(p)))))
| ~ spl0_93
| spl0_166 ),
inference(resolution,[],[f2934,f948]) ).
fof(f948,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(X1))) )
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f947]) ).
fof(f2934,plain,
( ~ theorem(or(or(q,not(not(p))),q))
| spl0_166 ),
inference(avatar_component_clause,[],[f2932]) ).
fof(f3271,plain,
( spl0_172
| ~ spl0_51
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f491,f476,f359,f3269]) ).
fof(f3269,plain,
( spl0_172
<=> ! [X0,X3,X2,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X2,or(not(X0),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f359,plain,
( spl0_51
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f476,plain,
( spl0_58
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(not(X1),X2))),or(X0,X2)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f491,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X2,or(not(X0),X3))) )
| ~ spl0_51
| ~ spl0_58 ),
inference(resolution,[],[f477,f360]) ).
fof(f360,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(X0) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f477,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(not(X1),X2))),or(X0,X2)))
| ~ theorem(X1) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f3267,plain,
( spl0_171
| ~ spl0_50
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f459,f443,f322,f3265]) ).
fof(f3265,plain,
( spl0_171
<=> ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(or(X1,X1),X2))),or(X0,X2)),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f322,plain,
( spl0_50
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,or(X1,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f443,plain,
( spl0_55
<=> ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X2))),or(X0,X2)),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f459,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(or(X1,X1),X2))),or(X0,X2)),X1))
| ~ spl0_50
| ~ spl0_55 ),
inference(resolution,[],[f444,f323]) ).
fof(f323,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f444,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X2))),or(X0,X2)),X1))
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f3263,plain,
( spl0_170
| ~ spl0_14
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f429,f418,f80,f3261]) ).
fof(f3261,plain,
( spl0_170
<=> ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(or(X2,X1),not(or(X2,X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f418,plain,
( spl0_54
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f429,plain,
( ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(or(X2,X1),not(or(X2,X0)))))
| ~ spl0_14
| ~ spl0_54 ),
inference(resolution,[],[f419,f81]) ).
fof(f419,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f3259,plain,
( spl0_169
| ~ spl0_36
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f426,f418,f239,f3257]) ).
fof(f3257,plain,
( spl0_169
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(or(X0,X2),not(or(not(X1),X2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f426,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(or(X0,X2),not(or(not(X1),X2)))))
| ~ spl0_36
| ~ spl0_54 ),
inference(resolution,[],[f419,f240]) ).
fof(f3255,plain,
( spl0_168
| ~ spl0_19
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f377,f359,f117,f3253]) ).
fof(f3253,plain,
( spl0_168
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,X3))
| ~ theorem(or(not(X3),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f117,plain,
( spl0_19
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f377,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,X3))
| ~ theorem(or(not(X3),X2)) )
| ~ spl0_19
| ~ spl0_51 ),
inference(resolution,[],[f360,f118]) ).
fof(f118,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f3251,plain,
( spl0_167
| ~ spl0_33
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f329,f314,f221,f3249]) ).
fof(f3249,plain,
( spl0_167
<=> ! [X0,X1] :
( theorem(or(X0,not(or(X0,X1))))
| ~ theorem(or(not(X1),not(or(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f221,plain,
( spl0_33
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(X2,X1),not(or(X2,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f314,plain,
( spl0_48
<=> ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X1))
| theorem(or(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f329,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(X0,X1))))
| ~ theorem(or(not(X1),not(or(X0,X1)))) )
| ~ spl0_33
| ~ spl0_48 ),
inference(resolution,[],[f315,f222]) ).
fof(f222,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X2,X1),not(or(X2,X0))))
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f315,plain,
( ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X1))
| theorem(or(X0,X1)) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f2935,plain,
( ~ spl0_166
| spl0_1
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f2826,f2600,f18,f2932]) ).
fof(f18,plain,
( spl0_1
<=> theorem(or(or(not(p),q),or(not(not(p)),q))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f2600,plain,
( spl0_148
<=> ! [X0,X3,X2,X1] :
( theorem(or(or(X0,X1),or(X2,X3)))
| ~ theorem(or(or(X3,X2),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f2826,plain,
( ~ theorem(or(or(q,not(not(p))),q))
| spl0_1
| ~ spl0_148 ),
inference(resolution,[],[f2601,f20]) ).
fof(f20,plain,
( ~ theorem(or(or(not(p),q),or(not(not(p)),q)))
| spl0_1 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f2601,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,X1),or(X2,X3)))
| ~ theorem(or(or(X3,X2),X1)) )
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f2600]) ).
fof(f2670,plain,
( spl0_165
| ~ spl0_26
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f638,f621,f163,f2668]) ).
fof(f2668,plain,
( spl0_165
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,X0)),X2)))
| ~ theorem(or(not(X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f163,plain,
( spl0_26
<=> ! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f621,plain,
( spl0_68
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,or(X1,X3)))
| ~ theorem(or(not(X3),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f638,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,X0)),X2)))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_26
| ~ spl0_68 ),
inference(resolution,[],[f622,f164]) ).
fof(f164,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1)))
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f622,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f2666,plain,
( spl0_164
| ~ spl0_11
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f626,f621,f66,f2664]) ).
fof(f2664,plain,
( spl0_164
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f66,plain,
( spl0_11
<=> ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f626,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) )
| ~ spl0_11
| ~ spl0_68 ),
inference(resolution,[],[f622,f67]) ).
fof(f67,plain,
( ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0)))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f2662,plain,
( spl0_163
| ~ spl0_27
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f611,f588,f171,f2660]) ).
fof(f2660,plain,
( spl0_163
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X0,or(X1,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f171,plain,
( spl0_27
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f611,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X0,or(X1,X3))) )
| ~ spl0_27
| ~ spl0_67 ),
inference(resolution,[],[f589,f172]) ).
fof(f172,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f2658,plain,
( spl0_162
| ~ spl0_6
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f578,f536,f41,f2656]) ).
fof(f2656,plain,
( spl0_162
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| theorem(X1)
| ~ theorem(or(not(X2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f578,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| theorem(X1)
| ~ theorem(or(not(X2),X0)) )
| ~ spl0_6
| ~ spl0_65 ),
inference(resolution,[],[f537,f42]) ).
fof(f2654,plain,
( spl0_161
| ~ spl0_11
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f555,f527,f66,f2652]) ).
fof(f2652,plain,
( spl0_161
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(X3,or(X2,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f555,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(X3,or(X2,X1)))) )
| ~ spl0_11
| ~ spl0_63 ),
inference(resolution,[],[f528,f67]) ).
fof(f2650,plain,
( spl0_160
| ~ spl0_6
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f545,f523,f41,f2648]) ).
fof(f2648,plain,
( spl0_160
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(or(not(X0),X1),or(not(X0),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f545,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(or(not(X0),X1),or(not(X0),X1))) )
| ~ spl0_6
| ~ spl0_62 ),
inference(resolution,[],[f524,f42]) ).
fof(f2646,plain,
( spl0_159
| ~ spl0_16
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f521,f488,f92,f2644]) ).
fof(f2644,plain,
( spl0_159
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X0,X2),not(or(not(X1),X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f488,plain,
( spl0_61
<=> ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f521,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X0,X2),not(or(not(X1),X2)))) )
| ~ spl0_16
| ~ spl0_61 ),
inference(resolution,[],[f489,f93]) ).
fof(f489,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f2642,plain,
( spl0_158
| ~ spl0_17
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f518,f488,f102,f2640]) ).
fof(f2640,plain,
( spl0_158
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(not(or(not(X1),X2)),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f102,plain,
( spl0_17
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f518,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(not(or(not(X1),X2)),X2))) )
| ~ spl0_17
| ~ spl0_61 ),
inference(resolution,[],[f489,f103]) ).
fof(f103,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f2638,plain,
( spl0_157
| ~ spl0_54
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f517,f488,f418,f2636]) ).
fof(f2636,plain,
( spl0_157
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),X2)),or(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f517,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),X2)),or(X2,X0))) )
| ~ spl0_54
| ~ spl0_61 ),
inference(resolution,[],[f489,f419]) ).
fof(f2634,plain,
( spl0_156
| ~ spl0_16
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f503,f480,f92,f2632]) ).
fof(f2632,plain,
( spl0_156
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(not(or(X2,not(X1))),X2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f503,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(not(or(X2,not(X1))),X2),X0)) )
| ~ spl0_16
| ~ spl0_59 ),
inference(resolution,[],[f481,f93]) ).
fof(f2630,plain,
( spl0_155
| ~ spl0_21
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1912,f1839,f135,f2628]) ).
fof(f2628,plain,
( spl0_155
<=> ! [X0,X1] : theorem(or(or(X0,not(X1)),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f135,plain,
( spl0_21
<=> ! [X0,X1] : theorem(or(or(X0,X1),not(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1839,plain,
( spl0_109
<=> ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(or(or(X2,X2),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f1912,plain,
( ! [X0,X1] : theorem(or(or(X0,not(X1)),X1))
| ~ spl0_21
| ~ spl0_109 ),
inference(resolution,[],[f1840,f136]) ).
fof(f136,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(X1)))
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f1840,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X2,X2),X1))
| theorem(or(or(X0,X1),X2)) )
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f1839]) ).
fof(f2626,plain,
( spl0_154
| ~ spl0_17
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f500,f480,f102,f2624]) ).
fof(f2624,plain,
( spl0_154
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(X2,not(X1))),or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f500,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(X2,not(X1))),or(X0,X2))) )
| ~ spl0_17
| ~ spl0_59 ),
inference(resolution,[],[f481,f103]) ).
fof(f2622,plain,
( spl0_153
| ~ spl0_54
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f499,f480,f418,f2620]) ).
fof(f2620,plain,
( spl0_153
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,not(or(X2,not(X1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f499,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,not(or(X2,not(X1)))))) )
| ~ spl0_54
| ~ spl0_59 ),
inference(resolution,[],[f481,f419]) ).
fof(f2618,plain,
( spl0_152
| ~ spl0_16
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f498,f476,f92,f2616]) ).
fof(f2616,plain,
( spl0_152
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,X2),not(or(X1,or(not(X0),X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f498,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,X2),not(or(X1,or(not(X0),X2))))) )
| ~ spl0_16
| ~ spl0_58 ),
inference(resolution,[],[f477,f93]) ).
fof(f2614,plain,
( spl0_151
| ~ spl0_17
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f495,f476,f102,f2612]) ).
fof(f2612,plain,
( spl0_151
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(X1,or(not(X0),X2))),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f495,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(X1,or(not(X0),X2))),X2))) )
| ~ spl0_17
| ~ spl0_58 ),
inference(resolution,[],[f477,f103]) ).
fof(f2610,plain,
( spl0_150
| ~ spl0_54
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f494,f476,f418,f2608]) ).
fof(f2608,plain,
( spl0_150
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,or(not(X0),X2))),or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f494,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,or(not(X0),X2))),or(X2,X1))) )
| ~ spl0_54
| ~ spl0_58 ),
inference(resolution,[],[f477,f419]) ).
fof(f2606,plain,
( spl0_149
| ~ spl0_6
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f469,f451,f41,f2604]) ).
fof(f2604,plain,
( spl0_149
<=> ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(not(or(not(X1),not(X1))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f451,plain,
( spl0_57
<=> ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(or(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f469,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(not(or(not(X1),not(X1))))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_57 ),
inference(resolution,[],[f452,f42]) ).
fof(f452,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(or(X0,X1)) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f2602,plain,
( spl0_148
| ~ spl0_49
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f441,f418,f318,f2600]) ).
fof(f318,plain,
( spl0_49
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f441,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,X1),or(X2,X3)))
| ~ theorem(or(or(X3,X2),X1)) )
| ~ spl0_49
| ~ spl0_54 ),
inference(resolution,[],[f419,f319]) ).
fof(f319,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X2,X1),X0))
| ~ theorem(or(X0,X1)) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f2598,plain,
( spl0_147
| ~ spl0_32
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f434,f418,f217,f2596]) ).
fof(f2596,plain,
( spl0_147
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(X0,X2)))))
| ~ theorem(or(not(X2),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f217,plain,
( spl0_32
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(X2,X0)),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f434,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(X0,X2)))))
| ~ theorem(or(not(X2),X1)) )
| ~ spl0_32
| ~ spl0_54 ),
inference(resolution,[],[f419,f218]) ).
fof(f218,plain,
( ! [X2,X0,X1] :
( theorem(or(X2,or(not(or(X2,X0)),X1)))
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f2594,plain,
( spl0_146
| ~ spl0_47
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f428,f418,f310,f2592]) ).
fof(f2592,plain,
( spl0_146
<=> ! [X2,X0,X1] :
( theorem(or(not(or(or(X0,X1),not(X2))),or(X1,X0)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f428,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(or(X0,X1),not(X2))),or(X1,X0)))
| ~ theorem(X2) )
| ~ spl0_47
| ~ spl0_54 ),
inference(resolution,[],[f419,f311]) ).
fof(f2590,plain,
( spl0_145
| ~ spl0_19
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f425,f418,f117,f2588]) ).
fof(f2588,plain,
( spl0_145
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X2,X0)))
| ~ theorem(or(not(X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f425,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X2,X0)))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_19
| ~ spl0_54 ),
inference(resolution,[],[f419,f118]) ).
fof(f2586,plain,
( spl0_144
| ~ spl0_78
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f990,f932,f782,f2584]) ).
fof(f2584,plain,
( spl0_144
<=> ! [X0] :
( ~ theorem(not(X0))
| ~ theorem(or(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f782,plain,
( spl0_78
<=> ! [X0] :
( ~ theorem(X0)
| ~ theorem(or(not(X0),not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f932,plain,
( spl0_89
<=> ! [X0,X1] :
( theorem(or(not(or(X0,X0)),X1))
| ~ theorem(not(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f990,plain,
( ! [X0] :
( ~ theorem(not(X0))
| ~ theorem(or(X0,X0)) )
| ~ spl0_78
| ~ spl0_89 ),
inference(resolution,[],[f933,f783]) ).
fof(f783,plain,
( ! [X0] :
( ~ theorem(or(not(X0),not(X0)))
| ~ theorem(X0) )
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f933,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,X0)),X1))
| ~ theorem(not(X0)) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f2582,plain,
( spl0_143
| ~ spl0_12
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f376,f359,f71,f2580]) ).
fof(f2580,plain,
( spl0_143
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X2,or(X1,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f71,plain,
( spl0_12
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f376,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X2,or(X1,X3))) )
| ~ spl0_12
| ~ spl0_51 ),
inference(resolution,[],[f360,f72]) ).
fof(f72,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2))))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f2578,plain,
( spl0_142
| ~ spl0_17
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f342,f318,f102,f2576]) ).
fof(f2576,plain,
( spl0_142
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(or(X0,X1),X2))
| theorem(or(X0,or(or(X3,X2),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f342,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(or(X0,X1),X2))
| theorem(or(X0,or(or(X3,X2),X1))) )
| ~ spl0_17
| ~ spl0_49 ),
inference(resolution,[],[f319,f103]) ).
fof(f2574,plain,
( spl0_141
| ~ spl0_27
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f336,f314,f171,f2572]) ).
fof(f2572,plain,
( spl0_141
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(or(X0,or(X1,X2)),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f336,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(or(X0,or(X1,X2)),X2)) )
| ~ spl0_27
| ~ spl0_48 ),
inference(resolution,[],[f315,f172]) ).
fof(f2570,plain,
( spl0_140
| ~ spl0_17
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f328,f310,f102,f2568]) ).
fof(f2568,plain,
( spl0_140
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(or(X1,X2),not(X0))),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f328,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(or(X1,X2),not(X0))),X2))) )
| ~ spl0_17
| ~ spl0_47 ),
inference(resolution,[],[f311,f103]) ).
fof(f2429,plain,
( spl0_139
| ~ spl0_16
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f771,f752,f92,f2427]) ).
fof(f2427,plain,
( spl0_139
<=> ! [X0,X1] : theorem(or(or(X0,not(X0)),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f752,plain,
( spl0_76
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f771,plain,
( ! [X0,X1] : theorem(or(or(X0,not(X0)),X1))
| ~ spl0_16
| ~ spl0_76 ),
inference(resolution,[],[f753,f93]) ).
fof(f753,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(X1))))
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f2161,plain,
( spl0_138
| ~ spl0_17
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f768,f752,f102,f2159]) ).
fof(f2159,plain,
( spl0_138
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f768,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(X0))))
| ~ spl0_17
| ~ spl0_76 ),
inference(resolution,[],[f753,f103]) ).
fof(f2146,plain,
( spl0_137
| ~ spl0_26
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f606,f588,f163,f2144]) ).
fof(f2144,plain,
( spl0_137
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(or(X1,X2),X0)),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f606,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(or(X1,X2),X0)),X2))))
| ~ spl0_26
| ~ spl0_67 ),
inference(resolution,[],[f589,f164]) ).
fof(f2142,plain,
( spl0_136
| ~ spl0_29
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f604,f588,f184,f2140]) ).
fof(f2140,plain,
( spl0_136
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,or(X0,X2))),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f184,plain,
( spl0_29
<=> ! [X2,X0,X1] : theorem(or(X0,or(not(or(X1,or(X0,X2))),or(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f604,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,or(X0,X2))),X2))))
| ~ spl0_29
| ~ spl0_67 ),
inference(resolution,[],[f589,f185]) ).
fof(f185,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(or(X1,or(X0,X2))),or(X1,X2))))
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f2138,plain,
( spl0_135
| ~ spl0_11
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f593,f588,f66,f2136]) ).
fof(f2136,plain,
( spl0_135
<=> ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f593,plain,
( ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1))))
| ~ spl0_11
| ~ spl0_67 ),
inference(resolution,[],[f589,f67]) ).
fof(f2134,plain,
( spl0_134
| ~ spl0_6
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f493,f476,f41,f2132]) ).
fof(f2132,plain,
( spl0_134
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(not(X0),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f493,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(not(X0),X2))) )
| ~ spl0_6
| ~ spl0_58 ),
inference(resolution,[],[f477,f42]) ).
fof(f2130,plain,
( spl0_133
| ~ spl0_16
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f472,f451,f92,f2128]) ).
fof(f2128,plain,
( spl0_133
<=> ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),not(X1))),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f472,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),not(X1))),X0)) )
| ~ spl0_16
| ~ spl0_57 ),
inference(resolution,[],[f452,f93]) ).
fof(f2126,plain,
( spl0_132
| ~ spl0_46
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f440,f418,f303,f2124]) ).
fof(f2124,plain,
( spl0_132
<=> ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X2))),X0),or(X2,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f303,plain,
( spl0_46
<=> ! [X0,X1] : theorem(or(or(not(or(X0,X1)),X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f440,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X2))),X0),or(X2,X1)))
| ~ spl0_46
| ~ spl0_54 ),
inference(resolution,[],[f419,f304]) ).
fof(f304,plain,
( ! [X0,X1] : theorem(or(or(not(or(X0,X1)),X0),X1))
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f2122,plain,
( spl0_131
| ~ spl0_29
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f433,f418,f184,f2120]) ).
fof(f2120,plain,
( spl0_131
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(X1,X2),not(or(X1,or(X0,X2)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f433,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(X1,X2),not(or(X1,or(X0,X2))))))
| ~ spl0_29
| ~ spl0_54 ),
inference(resolution,[],[f419,f185]) ).
fof(f2118,plain,
( spl0_130
| ~ spl0_30
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f432,f418,f188,f2116]) ).
fof(f2116,plain,
( spl0_130
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(or(or(X0,X1),or(X0,X1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f188,plain,
( spl0_30
<=> ! [X0,X1] : theorem(or(X0,or(not(or(or(X0,X1),or(X0,X1))),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f432,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(or(or(X0,X1),or(X0,X1))))))
| ~ spl0_30
| ~ spl0_54 ),
inference(resolution,[],[f419,f189]) ).
fof(f189,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(or(X0,X1),or(X0,X1))),X1)))
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f2114,plain,
( spl0_129
| ~ spl0_10
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f427,f418,f60,f2112]) ).
fof(f2112,plain,
( spl0_129
<=> ! [X0,X1] : theorem(or(not(or(or(X0,X1),or(X0,X1))),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f60,plain,
( spl0_10
<=> ! [X0] : theorem(or(not(or(X0,X0)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f427,plain,
( ! [X0,X1] : theorem(or(not(or(or(X0,X1),or(X0,X1))),or(X1,X0)))
| ~ spl0_10
| ~ spl0_54 ),
inference(resolution,[],[f419,f61]) ).
fof(f61,plain,
( ! [X0] : theorem(or(not(or(X0,X0)),X0))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f2110,plain,
( spl0_128
| ~ spl0_16
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f765,f748,f92,f2108]) ).
fof(f748,plain,
( spl0_75
<=> ! [X0,X1] : theorem(or(not(X0),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f765,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(X0)))
| ~ spl0_16
| ~ spl0_75 ),
inference(resolution,[],[f749,f93]) ).
fof(f749,plain,
( ! [X0,X1] : theorem(or(not(X0),or(X0,X1)))
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f2106,plain,
( spl0_127
| ~ spl0_12
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f424,f418,f71,f2104]) ).
fof(f2104,plain,
( spl0_127
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(or(X0,X2),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f424,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(or(X0,X2),X1)))
| ~ spl0_12
| ~ spl0_54 ),
inference(resolution,[],[f419,f72]) ).
fof(f2102,plain,
( spl0_126
| ~ spl0_49
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f416,f363,f318,f2100]) ).
fof(f2100,plain,
( spl0_126
<=> ! [X0,X3,X2,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(X3))
| ~ theorem(or(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f363,plain,
( spl0_52
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,X2))
| ~ theorem(not(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f416,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(X3))
| ~ theorem(or(X3,X1)) )
| ~ spl0_49
| ~ spl0_52 ),
inference(resolution,[],[f364,f319]) ).
fof(f364,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X2))
| theorem(or(X0,X1))
| ~ theorem(not(X2)) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f2098,plain,
( spl0_125
| ~ spl0_27
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f408,f363,f171,f2096]) ).
fof(f2096,plain,
( spl0_125
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(X2,X3)))
| ~ theorem(or(X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f408,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(X2,X3)))
| ~ theorem(or(X0,X3)) )
| ~ spl0_27
| ~ spl0_52 ),
inference(resolution,[],[f364,f172]) ).
fof(f2094,plain,
( spl0_124
| ~ spl0_47
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f393,f363,f310,f2092]) ).
fof(f2092,plain,
( spl0_124
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(X1))),X2))
| ~ theorem(not(X0))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f393,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(X1))),X2))
| ~ theorem(not(X0))
| ~ theorem(X1) )
| ~ spl0_47
| ~ spl0_52 ),
inference(resolution,[],[f364,f311]) ).
fof(f2090,plain,
( spl0_123
| ~ spl0_27
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f389,f359,f171,f2088]) ).
fof(f2088,plain,
( spl0_123
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X3)
| ~ theorem(or(not(X3),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f389,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X3)
| ~ theorem(or(not(X3),X2)) )
| ~ spl0_27
| ~ spl0_51 ),
inference(resolution,[],[f360,f172]) ).
fof(f2086,plain,
( spl0_122
| ~ spl0_12
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f346,f322,f71,f2084]) ).
fof(f2084,plain,
( spl0_122
<=> ! [X0,X1] : theorem(or(not(or(X0,or(or(X0,X1),X1))),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f346,plain,
( ! [X0,X1] : theorem(or(not(or(X0,or(or(X0,X1),X1))),or(X0,X1)))
| ~ spl0_12
| ~ spl0_50 ),
inference(resolution,[],[f323,f72]) ).
fof(f2082,plain,
( spl0_121
| ~ spl0_31
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f325,f310,f192,f2080]) ).
fof(f2080,plain,
( spl0_121
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(X2,not(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f192,plain,
( spl0_31
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f325,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(X2,not(X0)))) )
| ~ spl0_31
| ~ spl0_47 ),
inference(resolution,[],[f311,f193]) ).
fof(f193,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f2078,plain,
( spl0_120
| ~ spl0_17
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f308,f303,f102,f2076]) ).
fof(f2076,plain,
( spl0_120
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,or(X0,X2))),X1),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f308,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,or(X0,X2))),X1),X2)))
| ~ spl0_17
| ~ spl0_46 ),
inference(resolution,[],[f304,f103]) ).
fof(f2017,plain,
( spl0_119
| ~ spl0_17
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f761,f748,f102,f2015]) ).
fof(f2015,plain,
( spl0_119
<=> ! [X0,X1] : theorem(or(X0,or(not(X0),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f761,plain,
( ! [X0,X1] : theorem(or(X0,or(not(X0),X1)))
| ~ spl0_17
| ~ spl0_75 ),
inference(resolution,[],[f749,f103]) ).
fof(f1877,plain,
( spl0_118
| ~ spl0_10
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f553,f527,f60,f1875]) ).
fof(f1875,plain,
( spl0_118
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f553,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,or(X2,X1))) )
| ~ spl0_10
| ~ spl0_63 ),
inference(resolution,[],[f528,f61]) ).
fof(f1873,plain,
( spl0_117
| ~ spl0_7
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f551,f527,f46,f1871]) ).
fof(f1871,plain,
( spl0_117
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(X3,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f46,plain,
( spl0_7
<=> ! [X0,X1] : theorem(or(not(X0),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f551,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(X3,X1)))) )
| ~ spl0_7
| ~ spl0_63 ),
inference(resolution,[],[f528,f47]) ).
fof(f47,plain,
( ! [X0,X1] : theorem(or(not(X0),or(X1,X0)))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f1869,plain,
( spl0_116
| ~ spl0_50
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f519,f488,f322,f1867]) ).
fof(f1867,plain,
( spl0_116
<=> ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),X0)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f519,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),X0)),X0)) )
| ~ spl0_50
| ~ spl0_61 ),
inference(resolution,[],[f489,f323]) ).
fof(f1865,plain,
( spl0_115
| ~ spl0_50
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f496,f476,f322,f1863]) ).
fof(f1863,plain,
( spl0_115
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,or(not(X0),X1))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f496,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,or(not(X0),X1))),X1)) )
| ~ spl0_50
| ~ spl0_58 ),
inference(resolution,[],[f477,f323]) ).
fof(f1861,plain,
( spl0_114
| ~ spl0_46
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f415,f363,f303,f1859]) ).
fof(f1859,plain,
( spl0_114
<=> ! [X2,X0,X1] :
( theorem(or(or(not(or(X0,X1)),X0),X2))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f415,plain,
( ! [X2,X0,X1] :
( theorem(or(or(not(or(X0,X1)),X0),X2))
| ~ theorem(not(X1)) )
| ~ spl0_46
| ~ spl0_52 ),
inference(resolution,[],[f364,f304]) ).
fof(f1857,plain,
( spl0_113
| ~ spl0_25
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f410,f363,f159,f1855]) ).
fof(f1855,plain,
( spl0_113
<=> ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(or(X1,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f159,plain,
( spl0_25
<=> ! [X0,X1] : theorem(or(or(X0,X1),not(or(X1,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f410,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(or(X1,X0)))) )
| ~ spl0_25
| ~ spl0_52 ),
inference(resolution,[],[f364,f160]) ).
fof(f160,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(or(X1,X0))))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f1853,plain,
( spl0_112
| ~ spl0_26
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f403,f363,f163,f1851]) ).
fof(f1851,plain,
( spl0_112
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(or(X2,X0)),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f403,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(or(X2,X0)),X2))) )
| ~ spl0_26
| ~ spl0_52 ),
inference(resolution,[],[f364,f164]) ).
fof(f1849,plain,
( spl0_111
| ~ spl0_11
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f394,f363,f66,f1847]) ).
fof(f1847,plain,
( spl0_111
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),X2))
| ~ theorem(not(or(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f394,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),X2))
| ~ theorem(not(or(X1,X0))) )
| ~ spl0_11
| ~ spl0_52 ),
inference(resolution,[],[f364,f67]) ).
fof(f1845,plain,
( spl0_110
| ~ spl0_26
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f384,f359,f163,f1843]) ).
fof(f1843,plain,
( spl0_110
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f384,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(X2) )
| ~ spl0_26
| ~ spl0_51 ),
inference(resolution,[],[f360,f164]) ).
fof(f1841,plain,
( spl0_109
| ~ spl0_49
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f357,f322,f318,f1839]) ).
fof(f357,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(or(or(X2,X2),X1)) )
| ~ spl0_49
| ~ spl0_50 ),
inference(resolution,[],[f323,f319]) ).
fof(f1832,plain,
( spl0_108
| ~ spl0_47
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f349,f322,f310,f1830]) ).
fof(f1830,plain,
( spl0_108
<=> ! [X0,X1] :
( theorem(or(not(or(or(X0,X0),not(X1))),X0))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f349,plain,
( ! [X0,X1] :
( theorem(or(not(or(or(X0,X0),not(X1))),X0))
| ~ theorem(X1) )
| ~ spl0_47
| ~ spl0_50 ),
inference(resolution,[],[f323,f311]) ).
fof(f1828,plain,
( spl0_107
| ~ spl0_19
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f347,f322,f117,f1826]) ).
fof(f1826,plain,
( spl0_107
<=> ! [X0,X1] :
( theorem(or(not(or(X0,X1)),X0))
| ~ theorem(or(not(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f347,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,X1)),X0))
| ~ theorem(or(not(X1),X0)) )
| ~ spl0_19
| ~ spl0_50 ),
inference(resolution,[],[f323,f118]) ).
fof(f1739,plain,
( spl0_106
| ~ spl0_23
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f605,f588,f143,f1737]) ).
fof(f1737,plain,
( spl0_106
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,X2)),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f143,plain,
( spl0_23
<=> ! [X0,X1] : theorem(or(X0,or(not(X1),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f605,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,X2)),X2))))
| ~ spl0_23
| ~ spl0_67 ),
inference(resolution,[],[f589,f144]) ).
fof(f144,plain,
( ! [X0,X1] : theorem(or(X0,or(not(X1),X1)))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f1735,plain,
( spl0_105
| ~ spl0_7
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f591,f588,f46,f1733]) ).
fof(f1733,plain,
( spl0_105
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f591,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(X2,X1))))
| ~ spl0_7
| ~ spl0_67 ),
inference(resolution,[],[f589,f47]) ).
fof(f1731,plain,
( ~ spl0_104
| spl0_1
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1025,f951,f18,f1728]) ).
fof(f951,plain,
( spl0_94
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f1025,plain,
( ~ theorem(or(or(not(p),q),not(not(p))))
| spl0_1
| ~ spl0_94 ),
inference(resolution,[],[f952,f20]) ).
fof(f952,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f1516,plain,
( ~ spl0_103
| spl0_1
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f979,f924,f18,f1513]) ).
fof(f1513,plain,
( spl0_103
<=> theorem(or(q,not(not(p)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f924,plain,
( spl0_87
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f979,plain,
( ~ theorem(or(q,not(not(p))))
| spl0_1
| ~ spl0_87 ),
inference(resolution,[],[f925,f20]) ).
fof(f925,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,X1)) )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f1289,plain,
( ~ spl0_102
| spl0_1
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f1002,f947,f18,f1286]) ).
fof(f1286,plain,
( spl0_102
<=> theorem(not(not(q))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f1002,plain,
( ~ theorem(not(not(q)))
| spl0_1
| ~ spl0_93 ),
inference(resolution,[],[f948,f20]) ).
fof(f1080,plain,
( spl0_1
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f1067]) ).
fof(f1067,plain,
( $false
| spl0_1
| ~ spl0_92 ),
inference(resolution,[],[f944,f20]) ).
fof(f944,plain,
( ! [X0,X1] : theorem(or(X0,X1))
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f943]) ).
fof(f943,plain,
( spl0_92
<=> ! [X0,X1] : theorem(or(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f1079,plain,
( spl0_38
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f1068]) ).
fof(f1068,plain,
( $false
| spl0_38
| ~ spl0_92 ),
inference(resolution,[],[f944,f257]) ).
fof(f257,plain,
( ~ theorem(or(or(not(p),q),q))
| spl0_38 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl0_38
<=> theorem(or(or(not(p),q),q)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f1078,plain,
( spl0_64
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f1069]) ).
fof(f1069,plain,
( $false
| spl0_64
| ~ spl0_92 ),
inference(resolution,[],[f944,f533]) ).
fof(f533,plain,
( ~ theorem(or(or(not(not(p)),q),q))
| spl0_64 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f531,plain,
( spl0_64
<=> theorem(or(or(not(not(p)),q),q)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f1077,plain,
( spl0_18
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f1071]) ).
fof(f1071,plain,
( $false
| spl0_18
| ~ spl0_92 ),
inference(resolution,[],[f944,f114]) ).
fof(f114,plain,
( ~ theorem(or(not(not(p)),q))
| spl0_18 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl0_18
<=> theorem(or(not(not(p)),q)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1076,plain,
( spl0_37
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f1072]) ).
fof(f1072,plain,
( $false
| spl0_37
| ~ spl0_92 ),
inference(resolution,[],[f944,f250]) ).
fof(f250,plain,
( ~ theorem(or(not(p),q))
| spl0_37 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl0_37
<=> theorem(or(not(p),q)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f1075,plain,
( spl0_53
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f1074]) ).
fof(f1074,plain,
( $false
| spl0_53
| ~ spl0_92 ),
inference(resolution,[],[f944,f369]) ).
fof(f369,plain,
( ~ theorem(or(q,q))
| spl0_53 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f367,plain,
( spl0_53
<=> theorem(or(q,q)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f1064,plain,
( spl0_101
| spl0_92
| ~ spl0_44
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f407,f363,f289,f943,f1062]) ).
fof(f1062,plain,
( spl0_101
<=> ! [X2,X3] :
( ~ theorem(not(or(X2,X3)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f289,plain,
( spl0_44
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f407,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(X2,X3)))
| ~ theorem(X2) )
| ~ spl0_44
| ~ spl0_52 ),
inference(resolution,[],[f364,f290]) ).
fof(f290,plain,
( ! [X2,X0,X1] :
( theorem(or(X1,or(X0,X2)))
| ~ theorem(X0) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f1060,plain,
( spl0_100
| ~ spl0_22
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f382,f359,f139,f1058]) ).
fof(f1058,plain,
( spl0_100
<=> ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f382,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(X1) )
| ~ spl0_22
| ~ spl0_51 ),
inference(resolution,[],[f360,f140]) ).
fof(f1056,plain,
( spl0_99
| ~ spl0_47
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f374,f359,f310,f1054]) ).
fof(f1054,plain,
( spl0_99
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,not(X2)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f374,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,not(X2)))
| ~ theorem(X2) )
| ~ spl0_47
| ~ spl0_51 ),
inference(resolution,[],[f360,f311]) ).
fof(f1052,plain,
( spl0_98
| ~ spl0_46
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f356,f322,f303,f1050]) ).
fof(f1050,plain,
( spl0_98
<=> ! [X0,X1] : theorem(or(or(not(or(X0,or(X1,X1))),X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f356,plain,
( ! [X0,X1] : theorem(or(or(not(or(X0,or(X1,X1))),X0),X1))
| ~ spl0_46
| ~ spl0_50 ),
inference(resolution,[],[f323,f304]) ).
fof(f1048,plain,
( spl0_97
| ~ spl0_10
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f348,f322,f60,f1046]) ).
fof(f1046,plain,
( spl0_97
<=> ! [X0] : theorem(or(not(or(or(X0,X0),or(X0,X0))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f348,plain,
( ! [X0] : theorem(or(not(or(or(X0,X0),or(X0,X0))),X0))
| ~ spl0_10
| ~ spl0_50 ),
inference(resolution,[],[f323,f61]) ).
fof(f962,plain,
( spl0_96
| ~ spl0_44
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f610,f588,f289,f960]) ).
fof(f960,plain,
( spl0_96
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f610,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(X2) )
| ~ spl0_44
| ~ spl0_67 ),
inference(resolution,[],[f589,f290]) ).
fof(f958,plain,
( ~ spl0_95
| spl0_35
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f908,f806,f234,f955]) ).
fof(f955,plain,
( spl0_95
<=> theorem(p) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f234,plain,
( spl0_35
<=> theorem(not(not(p))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f806,plain,
( spl0_81
<=> ! [X0] :
( theorem(not(not(X0)))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f908,plain,
( ~ theorem(p)
| spl0_35
| ~ spl0_81 ),
inference(resolution,[],[f807,f236]) ).
fof(f236,plain,
( ~ theorem(not(not(p)))
| spl0_35 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f807,plain,
( ! [X0] :
( theorem(not(not(X0)))
| ~ theorem(X0) )
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f953,plain,
( spl0_94
| ~ spl0_27
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f436,f418,f171,f951]) ).
fof(f436,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_27
| ~ spl0_54 ),
inference(resolution,[],[f419,f172]) ).
fof(f949,plain,
( spl0_93
| ~ spl0_21
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f409,f363,f135,f947]) ).
fof(f409,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(X1))) )
| ~ spl0_21
| ~ spl0_52 ),
inference(resolution,[],[f364,f136]) ).
fof(f945,plain,
( spl0_91
| spl0_92
| ~ spl0_23
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f402,f363,f143,f943,f940]) ).
fof(f940,plain,
( spl0_91
<=> ! [X2] : ~ theorem(not(or(not(X2),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f402,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(X2),X2))) )
| ~ spl0_23
| ~ spl0_52 ),
inference(resolution,[],[f364,f144]) ).
fof(f938,plain,
( spl0_90
| ~ spl0_22
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f401,f363,f139,f936]) ).
fof(f936,plain,
( spl0_90
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(not(or(X0,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f401,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(not(or(X0,X0)))) )
| ~ spl0_22
| ~ spl0_52 ),
inference(resolution,[],[f364,f140]) ).
fof(f934,plain,
( spl0_89
| ~ spl0_10
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f392,f363,f60,f932]) ).
fof(f392,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,X0)),X1))
| ~ theorem(not(X0)) )
| ~ spl0_10
| ~ spl0_52 ),
inference(resolution,[],[f364,f61]) ).
fof(f930,plain,
( spl0_88
| ~ spl0_7
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f390,f363,f46,f928]) ).
fof(f928,plain,
( spl0_88
<=> ! [X2,X0,X1] :
( theorem(or(not(X0),X1))
| ~ theorem(not(or(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f390,plain,
( ! [X2,X0,X1] :
( theorem(or(not(X0),X1))
| ~ theorem(not(or(X2,X0))) )
| ~ spl0_7
| ~ spl0_52 ),
inference(resolution,[],[f364,f47]) ).
fof(f926,plain,
( spl0_87
| ~ spl0_11
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f375,f359,f66,f924]) ).
fof(f375,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,X1)) )
| ~ spl0_11
| ~ spl0_51 ),
inference(resolution,[],[f360,f67]) ).
fof(f922,plain,
( spl0_86
| ~ spl0_16
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f327,f310,f92,f920]) ).
fof(f920,plain,
( spl0_86
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(X1,not(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f327,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(X1,not(X0))))) )
| ~ spl0_16
| ~ spl0_47 ),
inference(resolution,[],[f311,f93]) ).
fof(f860,plain,
( spl0_85
| ~ spl0_26
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f431,f418,f163,f858]) ).
fof(f858,plain,
( spl0_85
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(or(X1,X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f431,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(or(X1,X0)))))
| ~ spl0_26
| ~ spl0_54 ),
inference(resolution,[],[f419,f164]) ).
fof(f856,plain,
( spl0_84
| ~ spl0_6
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f326,f310,f41,f854]) ).
fof(f854,plain,
( spl0_84
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(X1,not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f326,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(X1,not(X0))) )
| ~ spl0_6
| ~ spl0_47 ),
inference(resolution,[],[f311,f42]) ).
fof(f852,plain,
( spl0_83
| ~ spl0_17
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f287,f282,f102,f850]) ).
fof(f850,plain,
( spl0_83
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(not(X1),X1),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f282,plain,
( spl0_43
<=> ! [X0,X1] : theorem(or(or(not(X0),X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f287,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(X1),X1),X2)))
| ~ spl0_17
| ~ spl0_43 ),
inference(resolution,[],[f283,f103]) ).
fof(f283,plain,
( ! [X0,X1] : theorem(or(or(not(X0),X0),X1))
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f848,plain,
( spl0_82
| ~ spl0_17
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f268,f262,f102,f846]) ).
fof(f846,plain,
( spl0_82
<=> ! [X0,X1] : theorem(or(X0,or(not(or(X0,X1)),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f262,plain,
( spl0_39
<=> ! [X0] : theorem(or(not(X0),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f268,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X0,X1)),X1)))
| ~ spl0_17
| ~ spl0_39 ),
inference(resolution,[],[f263,f103]) ).
fof(f263,plain,
( ! [X0] : theorem(or(not(X0),X0))
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f808,plain,
( spl0_81
| ~ spl0_6
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f746,f738,f41,f806]) ).
fof(f738,plain,
( spl0_74
<=> ! [X0] : theorem(or(X0,not(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f746,plain,
( ! [X0] :
( theorem(not(not(X0)))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_74 ),
inference(resolution,[],[f739,f42]) ).
fof(f739,plain,
( ! [X0] : theorem(or(X0,not(X0)))
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f792,plain,
( spl0_80
| ~ spl0_7
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f371,f359,f46,f790]) ).
fof(f790,plain,
( spl0_80
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f371,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X2) )
| ~ spl0_7
| ~ spl0_51 ),
inference(resolution,[],[f360,f47]) ).
fof(f788,plain,
( spl0_79
| ~ spl0_48
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f339,f318,f314,f786]) ).
fof(f786,plain,
( spl0_79
<=> ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f339,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(or(X1,X0)) )
| ~ spl0_48
| ~ spl0_49 ),
inference(resolution,[],[f319,f315]) ).
fof(f784,plain,
( spl0_78
| ~ spl0_42
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f306,f299,f278,f782]) ).
fof(f278,plain,
( spl0_42
<=> ! [X0] :
( ~ theorem(not(X0))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f299,plain,
( spl0_45
<=> ! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f306,plain,
( ! [X0] :
( ~ theorem(X0)
| ~ theorem(or(not(X0),not(X0))) )
| ~ spl0_42
| ~ spl0_45 ),
inference(resolution,[],[f300,f279]) ).
fof(f279,plain,
( ! [X0] :
( ~ theorem(not(X0))
| ~ theorem(X0) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f300,plain,
( ! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(X0) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f780,plain,
( spl0_77
| ~ spl0_16
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f297,f289,f92,f778]) ).
fof(f778,plain,
( spl0_77
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X0,X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f297,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X0,X1),X2)) )
| ~ spl0_16
| ~ spl0_44 ),
inference(resolution,[],[f290,f93]) ).
fof(f754,plain,
( spl0_76
| ~ spl0_23
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f430,f418,f143,f752]) ).
fof(f430,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(X1))))
| ~ spl0_23
| ~ spl0_54 ),
inference(resolution,[],[f419,f144]) ).
fof(f750,plain,
( spl0_75
| ~ spl0_7
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f421,f418,f46,f748]) ).
fof(f421,plain,
( ! [X0,X1] : theorem(or(not(X0),or(X0,X1)))
| ~ spl0_7
| ~ spl0_54 ),
inference(resolution,[],[f419,f47]) ).
fof(f740,plain,
( spl0_74
| ~ spl0_16
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f267,f262,f92,f738]) ).
fof(f267,plain,
( ! [X0] : theorem(or(X0,not(X0)))
| ~ spl0_16
| ~ spl0_39 ),
inference(resolution,[],[f263,f93]) ).
fof(f711,plain,
( spl0_73
| ~ spl0_31
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f224,f217,f192,f709]) ).
fof(f709,plain,
( spl0_73
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(not(X3),X0)),X1)))
| ~ theorem(or(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f224,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(not(X3),X0)),X1)))
| ~ theorem(or(X2,X3)) )
| ~ spl0_31
| ~ spl0_32 ),
inference(resolution,[],[f218,f193]) ).
fof(f707,plain,
( spl0_72
| ~ spl0_30
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f213,f192,f188,f705]) ).
fof(f705,plain,
( spl0_72
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(or(not(X1),X2),or(not(X1),X2))),X2)))
| ~ theorem(or(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f213,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(or(not(X1),X2),or(not(X1),X2))),X2)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_30
| ~ spl0_31 ),
inference(resolution,[],[f193,f189]) ).
fof(f667,plain,
( spl0_71
| ~ spl0_31
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f243,f239,f192,f665]) ).
fof(f665,plain,
( spl0_71
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),or(X3,X2))))
| ~ theorem(or(X0,or(X3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f243,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),or(X3,X2))))
| ~ theorem(or(X0,or(X3,X1))) )
| ~ spl0_31
| ~ spl0_36 ),
inference(resolution,[],[f240,f193]) ).
fof(f663,plain,
( spl0_70
| ~ spl0_29
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f214,f192,f184,f661]) ).
fof(f661,plain,
( spl0_70
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(X1,or(not(X2),X3))),or(X1,X3))))
| ~ theorem(or(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f214,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,or(not(X2),X3))),or(X1,X3))))
| ~ theorem(or(X0,X2)) )
| ~ spl0_29
| ~ spl0_31 ),
inference(resolution,[],[f193,f185]) ).
fof(f659,plain,
( spl0_69
| ~ spl0_14
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f207,f192,f80,f657]) ).
fof(f657,plain,
( spl0_69
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(X1,X2)),or(X1,X3))))
| ~ theorem(or(X0,or(not(X2),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f207,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,X2)),or(X1,X3))))
| ~ theorem(or(X0,or(not(X2),X3))) )
| ~ spl0_14
| ~ spl0_31 ),
inference(resolution,[],[f193,f81]) ).
fof(f623,plain,
( spl0_68
| ~ spl0_19
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f206,f192,f117,f621]) ).
fof(f206,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,or(X1,X3)))
| ~ theorem(or(not(X3),X2)) )
| ~ spl0_19
| ~ spl0_31 ),
inference(resolution,[],[f193,f118]) ).
fof(f590,plain,
( spl0_67
| ~ spl0_12
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f205,f192,f71,f588]) ).
fof(f205,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X0,or(X2,or(X1,X3)))) )
| ~ spl0_12
| ~ spl0_31 ),
inference(resolution,[],[f193,f72]) ).
fof(f542,plain,
( spl0_66
| ~ spl0_16
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f246,f239,f92,f540]) ).
fof(f540,plain,
( spl0_66
<=> ! [X2,X0,X1] : theorem(or(or(not(or(not(X0),X1)),or(X2,X1)),not(or(X2,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f246,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(not(X0),X1)),or(X2,X1)),not(or(X2,X0))))
| ~ spl0_16
| ~ spl0_36 ),
inference(resolution,[],[f240,f93]) ).
fof(f538,plain,
( spl0_65
| ~ spl0_6
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f225,f217,f41,f536]) ).
fof(f225,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(not(X2),X0)),X1))
| ~ theorem(X2) )
| ~ spl0_6
| ~ spl0_32 ),
inference(resolution,[],[f218,f42]) ).
fof(f534,plain,
( ~ spl0_64
| spl0_1
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f337,f318,f18,f531]) ).
fof(f337,plain,
( ~ theorem(or(or(not(not(p)),q),q))
| spl0_1
| ~ spl0_49 ),
inference(resolution,[],[f319,f20]) ).
fof(f529,plain,
( spl0_63
| ~ spl0_27
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f215,f192,f171,f527]) ).
fof(f215,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X3))
| ~ theorem(or(not(X3),X2)) )
| ~ spl0_27
| ~ spl0_31 ),
inference(resolution,[],[f193,f172]) ).
fof(f525,plain,
( spl0_62
| ~ spl0_6
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f199,f188,f41,f523]) ).
fof(f199,plain,
( ! [X0,X1] :
( theorem(or(not(or(or(not(X0),X1),or(not(X0),X1))),X1))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_30 ),
inference(resolution,[],[f189,f42]) ).
fof(f490,plain,
( spl0_61
| ~ spl0_6
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f244,f239,f41,f488]) ).
fof(f244,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) )
| ~ spl0_6
| ~ spl0_36 ),
inference(resolution,[],[f240,f42]) ).
fof(f486,plain,
( spl0_60
| ~ spl0_16
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f227,f217,f92,f484]) ).
fof(f484,plain,
( spl0_60
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(not(or(X2,X0)),X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f227,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(not(or(X2,X0)),X1),X2)) )
| ~ spl0_16
| ~ spl0_32 ),
inference(resolution,[],[f218,f93]) ).
fof(f482,plain,
( spl0_59
| ~ spl0_26
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f212,f192,f163,f480]) ).
fof(f212,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_26
| ~ spl0_31 ),
inference(resolution,[],[f193,f164]) ).
fof(f478,plain,
( spl0_58
| ~ spl0_6
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f196,f184,f41,f476]) ).
fof(f196,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(not(X1),X2))),or(X0,X2)))
| ~ theorem(X1) )
| ~ spl0_6
| ~ spl0_29 ),
inference(resolution,[],[f185,f42]) ).
fof(f453,plain,
( spl0_57
| ~ spl0_22
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f210,f192,f139,f451]) ).
fof(f210,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(or(X0,X1)) )
| ~ spl0_22
| ~ spl0_31 ),
inference(resolution,[],[f193,f140]) ).
fof(f449,plain,
( spl0_56
| ~ spl0_16
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f201,f188,f92,f447]) ).
fof(f447,plain,
( spl0_56
<=> ! [X0,X1] : theorem(or(or(not(or(or(X0,X1),or(X0,X1))),X1),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f201,plain,
( ! [X0,X1] : theorem(or(or(not(or(or(X0,X1),or(X0,X1))),X1),X0))
| ~ spl0_16
| ~ spl0_30 ),
inference(resolution,[],[f189,f93]) ).
fof(f445,plain,
( spl0_55
| ~ spl0_16
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f198,f184,f92,f443]) ).
fof(f198,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X2))),or(X0,X2)),X1))
| ~ spl0_16
| ~ spl0_29 ),
inference(resolution,[],[f185,f93]) ).
fof(f420,plain,
( spl0_54
| ~ spl0_11
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f204,f192,f66,f418]) ).
fof(f204,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,or(X2,X1))) )
| ~ spl0_11
| ~ spl0_31 ),
inference(resolution,[],[f193,f67]) ).
fof(f370,plain,
( ~ spl0_53
| spl0_38
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f338,f318,f255,f367]) ).
fof(f338,plain,
( ~ theorem(or(q,q))
| spl0_38
| ~ spl0_49 ),
inference(resolution,[],[f319,f257]) ).
fof(f365,plain,
( spl0_52
| ~ spl0_20
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f208,f192,f125,f363]) ).
fof(f125,plain,
( spl0_20
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f208,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,X2))
| ~ theorem(not(X2)) )
| ~ spl0_20
| ~ spl0_31 ),
inference(resolution,[],[f193,f126]) ).
fof(f126,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X0) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f361,plain,
( spl0_51
| ~ spl0_6
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f175,f171,f41,f359]) ).
fof(f175,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_27 ),
inference(resolution,[],[f172,f42]) ).
fof(f324,plain,
( spl0_50
| ~ spl0_10
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f203,f192,f60,f322]) ).
fof(f203,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,or(X1,X1))) )
| ~ spl0_10
| ~ spl0_31 ),
inference(resolution,[],[f193,f61]) ).
fof(f320,plain,
( spl0_49
| ~ spl0_16
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f178,f171,f92,f318]) ).
fof(f178,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,X1),X0)) )
| ~ spl0_16
| ~ spl0_27 ),
inference(resolution,[],[f172,f93]) ).
fof(f316,plain,
( spl0_48
| ~ spl0_15
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f177,f171,f85,f314]) ).
fof(f85,plain,
( spl0_15
<=> ! [X0] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f177,plain,
( ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X1))
| theorem(or(X0,X1)) )
| ~ spl0_15
| ~ spl0_27 ),
inference(resolution,[],[f172,f86]) ).
fof(f86,plain,
( ! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f312,plain,
( spl0_47
| ~ spl0_6
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f167,f163,f41,f310]) ).
fof(f167,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(X1) )
| ~ spl0_6
| ~ spl0_26 ),
inference(resolution,[],[f164,f42]) ).
fof(f305,plain,
( spl0_46
| ~ spl0_16
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f169,f163,f92,f303]) ).
fof(f169,plain,
( ! [X0,X1] : theorem(or(or(not(or(X0,X1)),X0),X1))
| ~ spl0_16
| ~ spl0_26 ),
inference(resolution,[],[f164,f93]) ).
fof(f301,plain,
( spl0_45
| ~ spl0_6
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f147,f139,f41,f299]) ).
fof(f147,plain,
( ! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_22 ),
inference(resolution,[],[f140,f42]) ).
fof(f291,plain,
( spl0_44
| ~ spl0_17
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f133,f125,f102,f289]) ).
fof(f133,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X0,X2))) )
| ~ spl0_17
| ~ spl0_20 ),
inference(resolution,[],[f126,f103]) ).
fof(f284,plain,
( spl0_43
| ~ spl0_16
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f157,f143,f92,f282]) ).
fof(f157,plain,
( ! [X0,X1] : theorem(or(or(not(X0),X0),X1))
| ~ spl0_16
| ~ spl0_23 ),
inference(resolution,[],[f144,f93]) ).
fof(f280,plain,
( spl0_41
| spl0_42
| ~ spl0_6
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f129,f125,f41,f278,f275]) ).
fof(f275,plain,
( spl0_41
<=> ! [X1] : theorem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f129,plain,
( ! [X0,X1] :
( ~ theorem(not(X0))
| theorem(X1)
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_20 ),
inference(resolution,[],[f126,f42]) ).
fof(f273,plain,
( ~ spl0_40
| ~ spl0_20
| spl0_37 ),
inference(avatar_split_clause,[],[f252,f248,f125,f270]) ).
fof(f270,plain,
( spl0_40
<=> theorem(not(p)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f252,plain,
( ~ theorem(not(p))
| ~ spl0_20
| spl0_37 ),
inference(resolution,[],[f250,f126]) ).
fof(f264,plain,
( spl0_39
| ~ spl0_15
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f156,f143,f85,f262]) ).
fof(f156,plain,
( ! [X0] : theorem(or(not(X0),X0))
| ~ spl0_15
| ~ spl0_23 ),
inference(resolution,[],[f144,f86]) ).
fof(f258,plain,
( ~ spl0_38
| spl0_1
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f174,f171,f18,f255]) ).
fof(f174,plain,
( ~ theorem(or(or(not(p),q),q))
| spl0_1
| ~ spl0_27 ),
inference(resolution,[],[f172,f20]) ).
fof(f251,plain,
( ~ spl0_37
| spl0_1
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f128,f125,f18,f248]) ).
fof(f128,plain,
( ~ theorem(or(not(p),q))
| spl0_1
| ~ spl0_20 ),
inference(resolution,[],[f126,f20]) ).
fof(f241,plain,
( spl0_36
| ~ spl0_14
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f109,f102,f80,f239]) ).
fof(f109,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2))))
| ~ spl0_14
| ~ spl0_17 ),
inference(resolution,[],[f103,f81]) ).
fof(f237,plain,
( ~ spl0_35
| spl0_18
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f130,f125,f112,f234]) ).
fof(f130,plain,
( ~ theorem(not(not(p)))
| spl0_18
| ~ spl0_20 ),
inference(resolution,[],[f126,f114]) ).
fof(f232,plain,
( spl0_34
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f99,f92,f80,f230]) ).
fof(f230,plain,
( spl0_34
<=> ! [X2,X0,X1] : theorem(or(or(not(or(X0,X1)),or(X0,X2)),not(or(not(X1),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f99,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,X1)),or(X0,X2)),not(or(not(X1),X2))))
| ~ spl0_14
| ~ spl0_16 ),
inference(resolution,[],[f93,f81]) ).
fof(f223,plain,
( spl0_33
| ~ spl0_16
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f122,f117,f92,f221]) ).
fof(f122,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(X2,X1),not(or(X2,X0)))) )
| ~ spl0_16
| ~ spl0_19 ),
inference(resolution,[],[f118,f93]) ).
fof(f219,plain,
( spl0_32
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f121,f117,f102,f217]) ).
fof(f121,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(X2,X0)),X1))) )
| ~ spl0_17
| ~ spl0_19 ),
inference(resolution,[],[f118,f103]) ).
fof(f194,plain,
( spl0_31
| ~ spl0_6
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f120,f117,f41,f192]) ).
fof(f120,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) )
| ~ spl0_6
| ~ spl0_19 ),
inference(resolution,[],[f118,f42]) ).
fof(f190,plain,
( spl0_30
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f108,f102,f60,f188]) ).
fof(f108,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(or(X0,X1),or(X0,X1))),X1)))
| ~ spl0_10
| ~ spl0_17 ),
inference(resolution,[],[f103,f61]) ).
fof(f186,plain,
( spl0_29
| ~ spl0_12
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f107,f102,f71,f184]) ).
fof(f107,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(or(X1,or(X0,X2))),or(X1,X2))))
| ~ spl0_12
| ~ spl0_17 ),
inference(resolution,[],[f103,f72]) ).
fof(f182,plain,
( spl0_28
| ~ spl0_12
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f98,f92,f71,f180]) ).
fof(f180,plain,
( spl0_28
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(or(X1,or(X0,X2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f98,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(or(X1,or(X0,X2)))))
| ~ spl0_12
| ~ spl0_16 ),
inference(resolution,[],[f93,f72]) ).
fof(f173,plain,
( spl0_27
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f110,f102,f75,f171]) ).
fof(f75,plain,
( spl0_13
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f110,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_13
| ~ spl0_17 ),
inference(resolution,[],[f103,f76]) ).
fof(f76,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f165,plain,
( spl0_26
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f106,f102,f66,f163]) ).
fof(f106,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1)))
| ~ spl0_11
| ~ spl0_17 ),
inference(resolution,[],[f103,f67]) ).
fof(f161,plain,
( spl0_25
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f97,f92,f66,f159]) ).
fof(f97,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(or(X1,X0))))
| ~ spl0_11
| ~ spl0_16 ),
inference(resolution,[],[f93,f67]) ).
fof(f153,plain,
( ~ spl0_24
| ~ spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f123,f112,f75,f150]) ).
fof(f150,plain,
( spl0_24
<=> theorem(q) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f123,plain,
( ~ theorem(q)
| ~ spl0_13
| spl0_18 ),
inference(resolution,[],[f114,f76]) ).
fof(f145,plain,
( spl0_23
| ~ spl0_7
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f105,f102,f46,f143]) ).
fof(f105,plain,
( ! [X0,X1] : theorem(or(X0,or(not(X1),X1)))
| ~ spl0_7
| ~ spl0_17 ),
inference(resolution,[],[f103,f47]) ).
fof(f141,plain,
( spl0_22
| ~ spl0_10
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f96,f92,f60,f139]) ).
fof(f96,plain,
( ! [X0] : theorem(or(X0,not(or(X0,X0))))
| ~ spl0_10
| ~ spl0_16 ),
inference(resolution,[],[f93,f61]) ).
fof(f137,plain,
( spl0_21
| ~ spl0_7
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f95,f92,f46,f135]) ).
fof(f95,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(X1)))
| ~ spl0_7
| ~ spl0_16 ),
inference(resolution,[],[f93,f47]) ).
fof(f127,plain,
( spl0_20
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f100,f92,f75,f125]) ).
fof(f100,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X0) )
| ~ spl0_13
| ~ spl0_16 ),
inference(resolution,[],[f93,f76]) ).
fof(f119,plain,
( spl0_19
| ~ spl0_6
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f83,f80,f41,f117]) ).
fof(f83,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_6
| ~ spl0_14 ),
inference(resolution,[],[f81,f42]) ).
fof(f115,plain,
( ~ spl0_18
| spl0_1
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f88,f75,f18,f112]) ).
fof(f88,plain,
( ~ theorem(or(not(not(p)),q))
| spl0_1
| ~ spl0_13 ),
inference(resolution,[],[f76,f20]) ).
fof(f104,plain,
( spl0_17
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f78,f71,f41,f102]) ).
fof(f78,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(X0,X2))) )
| ~ spl0_6
| ~ spl0_12 ),
inference(resolution,[],[f72,f42]) ).
fof(f94,plain,
( spl0_16
| ~ spl0_6
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f69,f66,f41,f92]) ).
fof(f69,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,X0)) )
| ~ spl0_6
| ~ spl0_11 ),
inference(resolution,[],[f67,f42]) ).
fof(f87,plain,
( spl0_15
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f64,f60,f41,f85]) ).
fof(f64,plain,
( ! [X0] :
( theorem(X0)
| ~ theorem(or(X0,X0)) )
| ~ spl0_6
| ~ spl0_10 ),
inference(resolution,[],[f61,f42]) ).
fof(f82,plain,
( spl0_14
| ~ spl0_2
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f58,f55,f23,f80]) ).
fof(f23,plain,
( spl0_2
<=> ! [X3] :
( ~ axiom(X3)
| theorem(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f55,plain,
( spl0_9
<=> ! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f58,plain,
( ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1))))
| ~ spl0_2
| ~ spl0_9 ),
inference(resolution,[],[f56,f24]) ).
fof(f24,plain,
( ! [X3] :
( ~ axiom(X3)
| theorem(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f56,plain,
( ! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1))))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f77,plain,
( spl0_13
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f63,f46,f41,f75]) ).
fof(f63,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) )
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f47,f42]) ).
fof(f73,plain,
( spl0_12
| ~ spl0_2
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f53,f50,f23,f71]) ).
fof(f50,plain,
( spl0_8
<=> ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f53,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2))))
| ~ spl0_2
| ~ spl0_8 ),
inference(resolution,[],[f51,f24]) ).
fof(f51,plain,
( ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2))))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f68,plain,
( spl0_11
| ~ spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f44,f37,f23,f66]) ).
fof(f37,plain,
( spl0_5
<=> ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f44,plain,
( ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0)))
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f38,f24]) ).
fof(f38,plain,
( ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0)))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f62,plain,
( spl0_10
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f35,f31,f23,f60]) ).
fof(f31,plain,
( spl0_4
<=> ! [X0] : axiom(or(not(or(X0,X0)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f35,plain,
( ! [X0] : theorem(or(not(or(X0,X0)),X0))
| ~ spl0_2
| ~ spl0_4 ),
inference(resolution,[],[f32,f24]) ).
fof(f32,plain,
( ! [X0] : axiom(or(not(or(X0,X0)),X0))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f57,plain,
spl0_9,
inference(avatar_split_clause,[],[f14,f55]) ).
fof(f14,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f6,axiom,
! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f52,plain,
spl0_8,
inference(avatar_split_clause,[],[f15,f50]) ).
fof(f15,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f48,plain,
( spl0_7
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f34,f27,f23,f46]) ).
fof(f27,plain,
( spl0_3
<=> ! [X0,X1] : axiom(or(not(X0),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f34,plain,
( ! [X0,X1] : theorem(or(not(X0),or(X1,X0)))
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f28,f24]) ).
fof(f28,plain,
( ! [X0,X1] : axiom(or(not(X0),or(X1,X0)))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f43,plain,
spl0_6,
inference(avatar_split_clause,[],[f16,f41]) ).
fof(f16,plain,
! [X3,X4] :
( ~ theorem(X4)
| theorem(X3)
| ~ theorem(or(not(X4),X3)) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f8,axiom,
! [X3,X4] :
( ~ theorem(X4)
| theorem(X3)
| ~ theorem(implies(X4,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).
fof(f39,plain,
spl0_5,
inference(avatar_split_clause,[],[f13,f37]) ).
fof(f13,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f33,plain,
spl0_4,
inference(avatar_split_clause,[],[f12,f31]) ).
fof(f12,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f29,plain,
spl0_3,
inference(avatar_split_clause,[],[f11,f27]) ).
fof(f11,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f25,plain,
spl0_2,
inference(avatar_split_clause,[],[f7,f23]) ).
fof(f7,axiom,
! [X3] :
( ~ axiom(X3)
| theorem(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
fof(f21,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f10,f18]) ).
fof(f10,plain,
~ theorem(or(or(not(p),q),or(not(not(p)),q))),
inference(definition_unfolding,[],[f9,f6,f6]) ).
fof(f9,axiom,
~ theorem(or(implies(p,q),implies(not(p),q))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL320-3 : TPTP v8.1.2. Released v2.3.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 13:17:58 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (21073)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (21076)WARNING: value z3 for option sas not known
% 0.14/0.38 % (21074)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (21076)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (21079)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (21078)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (21077)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (21080)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 % (21075)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.40 TRYING [4]
% 0.21/0.42 TRYING [5]
% 0.21/0.45 TRYING [5]
% 0.21/0.45 TRYING [1]
% 0.21/0.45 TRYING [2]
% 0.21/0.45 TRYING [3]
% 0.21/0.46 TRYING [4]
% 0.21/0.50 TRYING [5]
% 0.21/0.52 TRYING [6]
% 1.51/0.58 % (21078)First to succeed.
% 1.51/0.58 % (21078)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21073"
% 1.51/0.58 % (21078)Refutation found. Thanks to Tanya!
% 1.51/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.51/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.59 % (21078)------------------------------
% 1.51/0.59 % (21078)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.51/0.59 % (21078)Termination reason: Refutation
% 1.51/0.59
% 1.51/0.59 % (21078)Memory used [KB]: 2631
% 1.51/0.59 % (21078)Time elapsed: 0.202 s
% 1.51/0.59 % (21078)Instructions burned: 453 (million)
% 1.51/0.59 % (21073)Success in time 0.194 s
%------------------------------------------------------------------------------