TSTP Solution File: LAT038-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT038-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n014.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 : Fri Sep 1 17:10:41 EDT 2023
% Result : Unsatisfiable 5.47s 1.25s
% Output : Refutation 5.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 215
% Syntax : Number of formulae : 708 ( 35 unt; 0 def)
% Number of atoms : 1911 ( 508 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 2210 (1007 ~;1005 |; 0 &)
% ( 198 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 200 ( 198 usr; 199 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 1343 (;1343 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25195,plain,
$false,
inference(avatar_sat_refutation,[],[f22,f26,f30,f34,f38,f42,f46,f50,f54,f67,f71,f75,f95,f115,f119,f185,f189,f242,f246,f255,f297,f344,f348,f384,f423,f427,f484,f488,f492,f497,f501,f505,f509,f513,f518,f522,f527,f532,f536,f1040,f1044,f1166,f1220,f1224,f1228,f1232,f1236,f1240,f1244,f1580,f2267,f2272,f2276,f2281,f2285,f2289,f2293,f2297,f2301,f2860,f2864,f2868,f2873,f3032,f3036,f3493,f3497,f3501,f3759,f3763,f3767,f3771,f3775,f3779,f3783,f3787,f5406,f5411,f5416,f5420,f5424,f5428,f5432,f6188,f6192,f6322,f7449,f7453,f7457,f7461,f7465,f7469,f7473,f7477,f7481,f7485,f7489,f7493,f7497,f7501,f9607,f9611,f9615,f9619,f9623,f9627,f9631,f9635,f9639,f9643,f9647,f9651,f9655,f9659,f9663,f9667,f9671,f9675,f9679,f9683,f9687,f9691,f11270,f14943,f14947,f14951,f14955,f14959,f14963,f14967,f15076,f15080,f15084,f15088,f15092,f15096,f15100,f15104,f15108,f15112,f15217,f15221,f15225,f15229,f15233,f15237,f15241,f15245,f15249,f15253,f15257,f18603,f22364,f23628,f23632,f23636,f23951,f23955,f23959,f23963,f23967,f23971,f23975,f23979,f23983,f23987,f24341,f24345,f24349,f24353,f24357,f24361,f24365,f24369,f24373,f24377,f24766,f24770,f24774,f24778,f24782,f24786,f24790,f24794,f24798,f24802,f24806,f24810,f24814,f24818,f24822,f24826,f24830,f24834,f24838,f24842,f24846,f25192,f25194]) ).
fof(f25194,plain,
( spl0_1
| ~ spl0_10
| ~ spl0_16
| ~ spl0_46
| ~ spl0_57
| ~ spl0_84
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f25193,f25189,f6186,f2291,f1230,f183,f64,f19]) ).
fof(f19,plain,
( spl0_1
<=> f(aa,dd) = f(cc,dd) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f64,plain,
( spl0_10
<=> f(join(aa,bb),dd) = f(join(cc,bb),dd) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f183,plain,
( spl0_16
<=> ! [X4,X5,X3] : f(join(X3,X4),X5) = join(f(X3,X5),f(X4,X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1230,plain,
( spl0_46
<=> ! [X6,X5,X7] : meet(X5,join(X6,X7)) = join(meet(X6,X5),meet(X5,X7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f2291,plain,
( spl0_57
<=> ! [X22,X20,X21] : f(X20,X21) = meet(f(X20,X21),f(join(X20,X22),X21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f6186,plain,
( spl0_84
<=> ! [X0] : meet(f(cc,dd),join(X0,f(bb,dd))) = join(meet(f(cc,dd),X0),meet(f(aa,dd),f(bb,dd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f25189,plain,
( spl0_198
<=> f(cc,dd) = meet(f(cc,dd),f(join(aa,bb),dd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f25193,plain,
( f(aa,dd) = f(cc,dd)
| ~ spl0_10
| ~ spl0_16
| ~ spl0_46
| ~ spl0_57
| ~ spl0_84
| ~ spl0_198 ),
inference(forward_demodulation,[],[f25191,f6276]) ).
fof(f6276,plain,
( f(aa,dd) = meet(f(cc,dd),f(join(aa,bb),dd))
| ~ spl0_10
| ~ spl0_16
| ~ spl0_46
| ~ spl0_57
| ~ spl0_84 ),
inference(forward_demodulation,[],[f6275,f2292]) ).
fof(f2292,plain,
( ! [X21,X22,X20] : f(X20,X21) = meet(f(X20,X21),f(join(X20,X22),X21))
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f2291]) ).
fof(f6275,plain,
( meet(f(cc,dd),f(join(aa,bb),dd)) = meet(f(aa,dd),f(join(aa,bb),dd))
| ~ spl0_10
| ~ spl0_16
| ~ spl0_46
| ~ spl0_84 ),
inference(forward_demodulation,[],[f6274,f66]) ).
fof(f66,plain,
( f(join(aa,bb),dd) = f(join(cc,bb),dd)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f6274,plain,
( meet(f(cc,dd),f(join(aa,bb),dd)) = meet(f(aa,dd),f(join(cc,bb),dd))
| ~ spl0_16
| ~ spl0_46
| ~ spl0_84 ),
inference(forward_demodulation,[],[f6273,f184]) ).
fof(f184,plain,
( ! [X3,X4,X5] : f(join(X3,X4),X5) = join(f(X3,X5),f(X4,X5))
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f6273,plain,
( meet(f(cc,dd),f(join(aa,bb),dd)) = meet(f(aa,dd),join(f(cc,dd),f(bb,dd)))
| ~ spl0_16
| ~ spl0_46
| ~ spl0_84 ),
inference(forward_demodulation,[],[f6207,f184]) ).
fof(f6207,plain,
( meet(f(aa,dd),join(f(cc,dd),f(bb,dd))) = meet(f(cc,dd),join(f(aa,dd),f(bb,dd)))
| ~ spl0_46
| ~ spl0_84 ),
inference(superposition,[],[f6187,f1231]) ).
fof(f1231,plain,
( ! [X6,X7,X5] : meet(X5,join(X6,X7)) = join(meet(X6,X5),meet(X5,X7))
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f1230]) ).
fof(f6187,plain,
( ! [X0] : meet(f(cc,dd),join(X0,f(bb,dd))) = join(meet(f(cc,dd),X0),meet(f(aa,dd),f(bb,dd)))
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f6186]) ).
fof(f25191,plain,
( f(cc,dd) = meet(f(cc,dd),f(join(aa,bb),dd))
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f25189]) ).
fof(f25192,plain,
( spl0_198
| ~ spl0_10
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f2671,f2291,f64,f25189]) ).
fof(f2671,plain,
( f(cc,dd) = meet(f(cc,dd),f(join(aa,bb),dd))
| ~ spl0_10
| ~ spl0_57 ),
inference(superposition,[],[f2292,f66]) ).
fof(f24846,plain,
( spl0_197
| ~ spl0_8
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f2167,f1242,f48,f24844]) ).
fof(f24844,plain,
( spl0_197
<=> ! [X9,X11,X10] : meet(X9,X10) = meet(meet(X9,X10),meet(join(X10,X11),X9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f48,plain,
( spl0_8
<=> ! [X0,X1] : meet(X0,X1) = meet(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1242,plain,
( spl0_49
<=> ! [X22,X20,X21] : meet(X20,X21) = meet(meet(X20,X21),meet(X20,join(X21,X22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f2167,plain,
( ! [X10,X11,X9] : meet(X9,X10) = meet(meet(X9,X10),meet(join(X10,X11),X9))
| ~ spl0_8
| ~ spl0_49 ),
inference(superposition,[],[f1243,f49]) ).
fof(f49,plain,
( ! [X0,X1] : meet(X0,X1) = meet(X1,X0)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f1243,plain,
( ! [X21,X22,X20] : meet(X20,X21) = meet(meet(X20,X21),meet(X20,join(X21,X22)))
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f1242]) ).
fof(f24842,plain,
( spl0_196
| ~ spl0_21
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f1902,f1234,f295,f24840]) ).
fof(f24840,plain,
( spl0_196
<=> ! [X41,X40,X39] : meet(X41,X39) = meet(meet(X41,X39),meet(X39,join(X40,X41))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f295,plain,
( spl0_21
<=> ! [X2,X1] : meet(X1,join(X2,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1234,plain,
( spl0_47
<=> ! [X6,X5,X7] : meet(X5,join(X7,X6)) = join(meet(X5,X7),meet(X6,X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f1902,plain,
( ! [X40,X41,X39] : meet(X41,X39) = meet(meet(X41,X39),meet(X39,join(X40,X41)))
| ~ spl0_21
| ~ spl0_47 ),
inference(superposition,[],[f296,f1235]) ).
fof(f1235,plain,
( ! [X6,X7,X5] : meet(X5,join(X7,X6)) = join(meet(X5,X7),meet(X6,X5))
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f1234]) ).
fof(f296,plain,
( ! [X2,X1] : meet(X1,join(X2,X1)) = X1
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f24838,plain,
( spl0_195
| ~ spl0_9
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f1887,f1234,f52,f24836]) ).
fof(f24836,plain,
( spl0_195
<=> ! [X13,X12,X14] : meet(X12,join(X13,X14)) = join(meet(X14,X12),meet(X12,X13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f52,plain,
( spl0_9
<=> ! [X0,X1] : join(X0,X1) = join(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1887,plain,
( ! [X14,X12,X13] : meet(X12,join(X13,X14)) = join(meet(X14,X12),meet(X12,X13))
| ~ spl0_9
| ~ spl0_47 ),
inference(superposition,[],[f1235,f53]) ).
fof(f53,plain,
( ! [X0,X1] : join(X0,X1) = join(X1,X0)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f24834,plain,
( spl0_194
| ~ spl0_19
| ~ spl0_43
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f1818,f1230,f1218,f244,f24832]) ).
fof(f24832,plain,
( spl0_194
<=> ! [X57,X59,X58] : join(X57,meet(X58,X59)) = join(meet(X59,join(X57,X58)),X57) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f244,plain,
( spl0_19
<=> ! [X0,X1] : meet(join(X0,X1),X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1218,plain,
( spl0_43
<=> ! [X6,X5,X7] : join(X5,meet(X7,X6)) = meet(join(X5,X7),join(X6,X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f1818,plain,
( ! [X58,X59,X57] : join(X57,meet(X58,X59)) = join(meet(X59,join(X57,X58)),X57)
| ~ spl0_19
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1744,f1219]) ).
fof(f1219,plain,
( ! [X6,X7,X5] : join(X5,meet(X7,X6)) = meet(join(X5,X7),join(X6,X5))
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f1218]) ).
fof(f1744,plain,
( ! [X58,X59,X57] : meet(join(X57,X58),join(X59,X57)) = join(meet(X59,join(X57,X58)),X57)
| ~ spl0_19
| ~ spl0_46 ),
inference(superposition,[],[f1231,f245]) ).
fof(f245,plain,
( ! [X0,X1] : meet(join(X0,X1),X0) = X0
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f24830,plain,
( spl0_193
| ~ spl0_19
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f1765,f1230,f244,f24828]) ).
fof(f24828,plain,
( spl0_193
<=> ! [X38,X37,X39] : meet(X37,X38) = meet(meet(X38,join(X37,X39)),meet(X37,X38)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f1765,plain,
( ! [X38,X39,X37] : meet(X37,X38) = meet(meet(X38,join(X37,X39)),meet(X37,X38))
| ~ spl0_19
| ~ spl0_46 ),
inference(superposition,[],[f245,f1231]) ).
fof(f24826,plain,
( spl0_192
| ~ spl0_6
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f1759,f1230,f40,f24824]) ).
fof(f24824,plain,
( spl0_192
<=> ! [X18,X16,X17] : meet(X16,X17) = meet(meet(X16,X17),meet(X17,join(X16,X18))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f40,plain,
( spl0_6
<=> ! [X0,X1] : meet(X0,join(X0,X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1759,plain,
( ! [X18,X16,X17] : meet(X16,X17) = meet(meet(X16,X17),meet(X17,join(X16,X18)))
| ~ spl0_6
| ~ spl0_46 ),
inference(superposition,[],[f41,f1231]) ).
fof(f41,plain,
( ! [X0,X1] : meet(X0,join(X0,X1)) = X0
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f24822,plain,
( spl0_191
| ~ spl0_9
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f1624,f1226,f52,f24820]) ).
fof(f24820,plain,
( spl0_191
<=> ! [X9,X11,X10] : join(X9,X10) = join(join(X9,X10),join(meet(X10,X11),X9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f1226,plain,
( spl0_45
<=> ! [X13,X12,X14] : join(X12,X13) = join(join(X12,X13),join(X12,meet(X13,X14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f1624,plain,
( ! [X10,X11,X9] : join(X9,X10) = join(join(X9,X10),join(meet(X10,X11),X9))
| ~ spl0_9
| ~ spl0_45 ),
inference(superposition,[],[f1227,f53]) ).
fof(f1227,plain,
( ! [X14,X12,X13] : join(X12,X13) = join(join(X12,X13),join(X12,meet(X13,X14)))
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f1226]) ).
fof(f24818,plain,
( spl0_190
| ~ spl0_14
| ~ spl0_26
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f1555,f1222,f425,f113,f24816]) ).
fof(f24816,plain,
( spl0_190
<=> ! [X20,X18,X19] : join(X18,meet(X20,X19)) = join(X18,meet(join(X18,X19),X20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f113,plain,
( spl0_14
<=> ! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f425,plain,
( spl0_26
<=> ! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f1222,plain,
( spl0_44
<=> ! [X6,X5,X7] : join(X5,meet(X6,X7)) = meet(join(X5,X7),join(X5,X6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f1555,plain,
( ! [X18,X19,X20] : join(X18,meet(X20,X19)) = join(X18,meet(join(X18,X19),X20))
| ~ spl0_14
| ~ spl0_26
| ~ spl0_44 ),
inference(forward_demodulation,[],[f1489,f114]) ).
fof(f114,plain,
( ! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,X2))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f1489,plain,
( ! [X18,X19,X20] : join(X18,meet(join(X18,X19),X20)) = meet(join(X18,X20),join(X18,X19))
| ~ spl0_26
| ~ spl0_44 ),
inference(superposition,[],[f1223,f426]) ).
fof(f426,plain,
( ! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1))
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f1223,plain,
( ! [X6,X7,X5] : join(X5,meet(X6,X7)) = meet(join(X5,X7),join(X5,X6))
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f1222]) ).
fof(f24814,plain,
( spl0_189
| ~ spl0_15
| ~ spl0_20
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f1429,f1218,f253,f117,f24812]) ).
fof(f24812,plain,
( spl0_189
<=> ! [X38,X37,X39] : meet(X37,join(X39,meet(X37,X38))) = meet(X37,join(X38,X39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f117,plain,
( spl0_15
<=> ! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f253,plain,
( spl0_20
<=> ! [X0,X1] : join(meet(X0,X1),X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1429,plain,
( ! [X38,X39,X37] : meet(X37,join(X39,meet(X37,X38))) = meet(X37,join(X38,X39))
| ~ spl0_15
| ~ spl0_20
| ~ spl0_43 ),
inference(forward_demodulation,[],[f1364,f118]) ).
fof(f118,plain,
( ! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2))
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f1364,plain,
( ! [X38,X39,X37] : meet(X37,join(X39,meet(X37,X38))) = join(meet(X37,X38),meet(X37,X39))
| ~ spl0_20
| ~ spl0_43 ),
inference(superposition,[],[f1219,f254]) ).
fof(f254,plain,
( ! [X0,X1] : join(meet(X0,X1),X0) = X0
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f24810,plain,
( spl0_188
| ~ spl0_13
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f1406,f1218,f93,f24808]) ).
fof(f24808,plain,
( spl0_188
<=> ! [X25,X27,X26] : join(X27,X25) = join(join(X27,X25),join(X25,meet(X26,X27))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f93,plain,
( spl0_13
<=> ! [X4,X3] : join(X3,meet(X4,X3)) = X3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1406,plain,
( ! [X26,X27,X25] : join(X27,X25) = join(join(X27,X25),join(X25,meet(X26,X27)))
| ~ spl0_13
| ~ spl0_43 ),
inference(superposition,[],[f94,f1219]) ).
fof(f94,plain,
( ! [X3,X4] : join(X3,meet(X4,X3)) = X3
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f24806,plain,
( spl0_187
| ~ spl0_25
| ~ spl0_93
| ~ spl0_125
| ~ spl0_134
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f23810,f15255,f15086,f14945,f7471,f421,f24804]) ).
fof(f24804,plain,
( spl0_187
<=> ! [X17,X15] : meet(X15,X17) = meet(meet(X17,X15),X15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f421,plain,
( spl0_25
<=> ! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f7471,plain,
( spl0_93
<=> ! [X0,X1] : meet(X1,X0) = meet(X0,meet(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f14945,plain,
( spl0_125
<=> ! [X9,X7,X8] : meet(X7,X9) = meet(X7,meet(join(X8,X7),X9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f15086,plain,
( spl0_134
<=> ! [X27,X28,X26] : meet(X28,X26) = meet(X26,meet(join(X27,X26),X28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f15255,plain,
( spl0_151
<=> ! [X9,X8] : meet(X9,X8) = meet(meet(X8,X9),X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f23810,plain,
( ! [X17,X15] : meet(X15,X17) = meet(meet(X17,X15),X15)
| ~ spl0_25
| ~ spl0_93
| ~ spl0_125
| ~ spl0_134
| ~ spl0_151 ),
inference(forward_demodulation,[],[f23643,f15839]) ).
fof(f15839,plain,
( ! [X202,X203,X201] : meet(X201,X203) = meet(meet(join(X202,X201),X203),X201)
| ~ spl0_25
| ~ spl0_93
| ~ spl0_125 ),
inference(forward_demodulation,[],[f15710,f422]) ).
fof(f422,plain,
( ! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f15710,plain,
( ! [X202,X203,X201] : meet(meet(join(X202,X201),X203),X201) = meet(X201,meet(X201,X203))
| ~ spl0_93
| ~ spl0_125 ),
inference(superposition,[],[f7472,f14946]) ).
fof(f14946,plain,
( ! [X8,X9,X7] : meet(X7,X9) = meet(X7,meet(join(X8,X7),X9))
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f14945]) ).
fof(f7472,plain,
( ! [X0,X1] : meet(X1,X0) = meet(X0,meet(X0,X1))
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f7471]) ).
fof(f23643,plain,
( ! [X16,X17,X15] : meet(meet(X17,X15),X15) = meet(meet(join(X16,X15),X17),X15)
| ~ spl0_134
| ~ spl0_151 ),
inference(superposition,[],[f15256,f15087]) ).
fof(f15087,plain,
( ! [X28,X26,X27] : meet(X28,X26) = meet(X26,meet(join(X27,X26),X28))
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f15086]) ).
fof(f15256,plain,
( ! [X8,X9] : meet(X9,X8) = meet(meet(X8,X9),X8)
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f15255]) ).
fof(f24802,plain,
( spl0_186
| ~ spl0_8
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f1395,f1218,f48,f24800]) ).
fof(f24800,plain,
( spl0_186
<=> ! [X13,X12,X14] : join(X12,meet(X13,X14)) = meet(join(X14,X12),join(X12,X13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f1395,plain,
( ! [X14,X12,X13] : join(X12,meet(X13,X14)) = meet(join(X14,X12),join(X12,X13))
| ~ spl0_8
| ~ spl0_43 ),
inference(superposition,[],[f1219,f49]) ).
fof(f24798,plain,
( spl0_185
| ~ spl0_8
| ~ spl0_15
| ~ spl0_20
| ~ spl0_25
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f1335,f1164,f421,f253,f117,f48,f24796]) ).
fof(f24796,plain,
( spl0_185
<=> ! [X38,X37,X39] : join(meet(X37,X38),meet(X39,X37)) = meet(X37,join(X39,X38)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f1164,plain,
( spl0_42
<=> ! [X6,X5,X7] : join(X5,meet(X6,X7)) = meet(join(X6,X5),join(X5,X7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f1335,plain,
( ! [X38,X39,X37] : join(meet(X37,X38),meet(X39,X37)) = meet(X37,join(X39,X38))
| ~ spl0_8
| ~ spl0_15
| ~ spl0_20
| ~ spl0_25
| ~ spl0_42 ),
inference(forward_demodulation,[],[f1334,f452]) ).
fof(f452,plain,
( ! [X18,X16,X17] : meet(X16,join(X18,meet(X16,X17))) = meet(X16,join(X18,X17))
| ~ spl0_15
| ~ spl0_25 ),
inference(forward_demodulation,[],[f445,f118]) ).
fof(f445,plain,
( ! [X18,X16,X17] : meet(X16,join(X18,meet(X16,X17))) = join(meet(X16,X18),meet(X16,X17))
| ~ spl0_15
| ~ spl0_25 ),
inference(superposition,[],[f118,f422]) ).
fof(f1334,plain,
( ! [X38,X39,X37] : join(meet(X37,X38),meet(X39,X37)) = meet(X37,join(X39,meet(X37,X38)))
| ~ spl0_8
| ~ spl0_20
| ~ spl0_42 ),
inference(forward_demodulation,[],[f1275,f49]) ).
fof(f1275,plain,
( ! [X38,X39,X37] : join(meet(X37,X38),meet(X39,X37)) = meet(join(X39,meet(X37,X38)),X37)
| ~ spl0_20
| ~ spl0_42 ),
inference(superposition,[],[f1165,f254]) ).
fof(f1165,plain,
( ! [X6,X7,X5] : join(X5,meet(X6,X7)) = meet(join(X6,X5),join(X5,X7))
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f24794,plain,
( spl0_184
| ~ spl0_20
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f1301,f1164,f253,f24792]) ).
fof(f24792,plain,
( spl0_184
<=> ! [X38,X37,X39] : join(X37,X38) = join(join(X38,meet(X37,X39)),join(X37,X38)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f1301,plain,
( ! [X38,X39,X37] : join(X37,X38) = join(join(X38,meet(X37,X39)),join(X37,X38))
| ~ spl0_20
| ~ spl0_42 ),
inference(superposition,[],[f254,f1165]) ).
fof(f24790,plain,
( spl0_183
| ~ spl0_7
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f1294,f1164,f44,f24788]) ).
fof(f24788,plain,
( spl0_183
<=> ! [X13,X14,X15] : join(X13,X14) = join(join(X13,X14),join(X14,meet(X13,X15))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f44,plain,
( spl0_7
<=> ! [X0,X1] : join(X0,meet(X0,X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1294,plain,
( ! [X14,X15,X13] : join(X13,X14) = join(join(X13,X14),join(X14,meet(X13,X15)))
| ~ spl0_7
| ~ spl0_42 ),
inference(superposition,[],[f45,f1165]) ).
fof(f45,plain,
( ! [X0,X1] : join(X0,meet(X0,X1)) = X0
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f24786,plain,
( spl0_182
| ~ spl0_8
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f1287,f1164,f48,f24784]) ).
fof(f24784,plain,
( spl0_182
<=> ! [X13,X14,X15] : meet(join(X14,X15),join(X13,X14)) = join(X14,meet(X13,X15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f1287,plain,
( ! [X14,X15,X13] : meet(join(X14,X15),join(X13,X14)) = join(X14,meet(X13,X15))
| ~ spl0_8
| ~ spl0_42 ),
inference(superposition,[],[f1165,f49]) ).
fof(f24782,plain,
( spl0_181
| ~ spl0_9
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f1265,f1164,f52,f24780]) ).
fof(f24780,plain,
( spl0_181
<=> ! [X2,X4,X3] : join(X2,meet(X4,X3)) = meet(join(X4,X2),join(X3,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f1265,plain,
( ! [X2,X3,X4] : join(X2,meet(X4,X3)) = meet(join(X4,X2),join(X3,X2))
| ~ spl0_9
| ~ spl0_42 ),
inference(superposition,[],[f1165,f53]) ).
fof(f24778,plain,
( spl0_180
| ~ spl0_22
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f950,f516,f342,f24776]) ).
fof(f24776,plain,
( spl0_180
<=> ! [X17,X14,X16,X15] : join(X17,X14) = join(X14,join(meet(X15,meet(X14,X16)),X17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f342,plain,
( spl0_22
<=> ! [X2,X4,X3] : join(X2,meet(X4,meet(X2,X3))) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f516,plain,
( spl0_35
<=> ! [X9,X8,X10] : join(X8,join(X9,X10)) = join(X10,join(X8,X9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f950,plain,
( ! [X16,X14,X17,X15] : join(X17,X14) = join(X14,join(meet(X15,meet(X14,X16)),X17))
| ~ spl0_22
| ~ spl0_35 ),
inference(superposition,[],[f517,f343]) ).
fof(f343,plain,
( ! [X2,X3,X4] : join(X2,meet(X4,meet(X2,X3))) = X2
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f517,plain,
( ! [X10,X8,X9] : join(X8,join(X9,X10)) = join(X10,join(X8,X9))
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f24774,plain,
( spl0_179
| ~ spl0_22
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f925,f516,f342,f24772]) ).
fof(f24772,plain,
( spl0_179
<=> ! [X17,X14,X16,X15] : join(X17,X14) = join(meet(X15,meet(X14,X16)),join(X17,X14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f925,plain,
( ! [X16,X14,X17,X15] : join(X17,X14) = join(meet(X15,meet(X14,X16)),join(X17,X14))
| ~ spl0_22
| ~ spl0_35 ),
inference(superposition,[],[f517,f343]) ).
fof(f24770,plain,
( spl0_178
| ~ spl0_19
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f885,f507,f244,f24768]) ).
fof(f24768,plain,
( spl0_178
<=> ! [X27,X28,X26] : join(X26,X27) = meet(join(X27,join(X26,X28)),join(X26,X27)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f507,plain,
( spl0_33
<=> ! [X6,X5,X7] : join(X5,join(X6,X7)) = join(join(X6,X5),X7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f885,plain,
( ! [X28,X26,X27] : join(X26,X27) = meet(join(X27,join(X26,X28)),join(X26,X27))
| ~ spl0_19
| ~ spl0_33 ),
inference(superposition,[],[f245,f508]) ).
fof(f508,plain,
( ! [X6,X7,X5] : join(X5,join(X6,X7)) = join(join(X6,X5),X7)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f24766,plain,
( spl0_177
| ~ spl0_22
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f859,f507,f342,f24764]) ).
fof(f24764,plain,
( spl0_177
<=> ! [X17,X14,X16,X15] : join(X14,X17) = join(meet(X15,meet(X14,X16)),join(X14,X17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f859,plain,
( ! [X16,X14,X17,X15] : join(X14,X17) = join(meet(X15,meet(X14,X16)),join(X14,X17))
| ~ spl0_22
| ~ spl0_33 ),
inference(superposition,[],[f508,f343]) ).
fof(f24377,plain,
( spl0_176
| ~ spl0_12
| ~ spl0_19
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f838,f499,f244,f73,f24375]) ).
fof(f24375,plain,
( spl0_176
<=> ! [X45,X46,X47] : join(join(X45,X46),join(X45,X47)) = join(X45,join(X46,X47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f73,plain,
( spl0_12
<=> ! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f499,plain,
( spl0_31
<=> ! [X4,X2,X3] : join(X2,join(meet(X2,X3),X4)) = join(X2,X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f838,plain,
( ! [X46,X47,X45] : join(join(X45,X46),join(X45,X47)) = join(X45,join(X46,X47))
| ~ spl0_12
| ~ spl0_19
| ~ spl0_31 ),
inference(forward_demodulation,[],[f813,f74]) ).
fof(f74,plain,
( ! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f813,plain,
( ! [X46,X47,X45] : join(join(X45,X46),X47) = join(join(X45,X46),join(X45,X47))
| ~ spl0_19
| ~ spl0_31 ),
inference(superposition,[],[f500,f245]) ).
fof(f500,plain,
( ! [X2,X3,X4] : join(X2,join(meet(X2,X3),X4)) = join(X2,X4)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f24373,plain,
( spl0_175
| ~ spl0_23
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f681,f495,f346,f24371]) ).
fof(f24371,plain,
( spl0_175
<=> ! [X31,X29,X32,X30] : meet(X32,X29) = meet(X29,meet(join(X30,join(X29,X31)),X32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f346,plain,
( spl0_23
<=> ! [X2,X4,X3] : meet(X2,join(X4,join(X2,X3))) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f495,plain,
( spl0_30
<=> ! [X9,X8,X10] : meet(X8,meet(X9,X10)) = meet(X10,meet(X8,X9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f681,plain,
( ! [X31,X29,X32,X30] : meet(X32,X29) = meet(X29,meet(join(X30,join(X29,X31)),X32))
| ~ spl0_23
| ~ spl0_30 ),
inference(superposition,[],[f496,f347]) ).
fof(f347,plain,
( ! [X2,X3,X4] : meet(X2,join(X4,join(X2,X3))) = X2
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f496,plain,
( ! [X10,X8,X9] : meet(X8,meet(X9,X10)) = meet(X10,meet(X8,X9))
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f24369,plain,
( spl0_174
| ~ spl0_23
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f657,f495,f346,f24367]) ).
fof(f24367,plain,
( spl0_174
<=> ! [X31,X29,X32,X30] : meet(X32,X29) = meet(join(X30,join(X29,X31)),meet(X32,X29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f657,plain,
( ! [X31,X29,X32,X30] : meet(X32,X29) = meet(join(X30,join(X29,X31)),meet(X32,X29))
| ~ spl0_23
| ~ spl0_30 ),
inference(superposition,[],[f496,f347]) ).
fof(f24365,plain,
( spl0_173
| ~ spl0_20
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f615,f486,f253,f24363]) ).
fof(f24363,plain,
( spl0_173
<=> ! [X29,X30,X31] : meet(X29,X30) = join(meet(X30,meet(X29,X31)),meet(X29,X30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f486,plain,
( spl0_28
<=> ! [X6,X5,X7] : meet(X5,meet(X6,X7)) = meet(meet(X6,X5),X7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f615,plain,
( ! [X31,X29,X30] : meet(X29,X30) = join(meet(X30,meet(X29,X31)),meet(X29,X30))
| ~ spl0_20
| ~ spl0_28 ),
inference(superposition,[],[f254,f487]) ).
fof(f487,plain,
( ! [X6,X7,X5] : meet(X5,meet(X6,X7)) = meet(meet(X6,X5),X7)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f24361,plain,
( spl0_172
| ~ spl0_23
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f591,f486,f346,f24359]) ).
fof(f24359,plain,
( spl0_172
<=> ! [X24,X21,X23,X22] : meet(X21,X24) = meet(join(X22,join(X21,X23)),meet(X21,X24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f591,plain,
( ! [X21,X24,X22,X23] : meet(X21,X24) = meet(join(X22,join(X21,X23)),meet(X21,X24))
| ~ spl0_23
| ~ spl0_28 ),
inference(superposition,[],[f487,f347]) ).
fof(f24357,plain,
( spl0_171
| ~ spl0_11
| ~ spl0_20
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f569,f482,f253,f69,f24355]) ).
fof(f24355,plain,
( spl0_171
<=> ! [X25,X27,X26] : meet(meet(X25,X26),meet(X25,X27)) = meet(X25,meet(X26,X27)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f69,plain,
( spl0_11
<=> ! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f482,plain,
( spl0_27
<=> ! [X4,X2,X3] : meet(X2,meet(join(X2,X3),X4)) = meet(X2,X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f569,plain,
( ! [X26,X27,X25] : meet(meet(X25,X26),meet(X25,X27)) = meet(X25,meet(X26,X27))
| ~ spl0_11
| ~ spl0_20
| ~ spl0_27 ),
inference(forward_demodulation,[],[f545,f70]) ).
fof(f70,plain,
( ! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f545,plain,
( ! [X26,X27,X25] : meet(meet(X25,X26),X27) = meet(meet(X25,X26),meet(X25,X27))
| ~ spl0_20
| ~ spl0_27 ),
inference(superposition,[],[f483,f254]) ).
fof(f483,plain,
( ! [X2,X3,X4] : meet(X2,meet(join(X2,X3),X4)) = meet(X2,X4)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f24353,plain,
( spl0_170
| ~ spl0_14
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f479,f425,f113,f24351]) ).
fof(f24351,plain,
( spl0_170
<=> ! [X16,X14,X15] : join(X14,meet(X16,join(X14,X15))) = join(X14,meet(X16,X15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f479,plain,
( ! [X16,X14,X15] : join(X14,meet(X16,join(X14,X15))) = join(X14,meet(X16,X15))
| ~ spl0_14
| ~ spl0_26 ),
inference(forward_demodulation,[],[f471,f114]) ).
fof(f471,plain,
( ! [X16,X14,X15] : join(X14,meet(X16,join(X14,X15))) = meet(join(X14,X16),join(X14,X15))
| ~ spl0_14
| ~ spl0_26 ),
inference(superposition,[],[f114,f426]) ).
fof(f24349,plain,
( spl0_169
| ~ spl0_15
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f452,f421,f117,f24347]) ).
fof(f24347,plain,
( spl0_169
<=> ! [X18,X16,X17] : meet(X16,join(X18,meet(X16,X17))) = meet(X16,join(X18,X17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f24345,plain,
( spl0_168
| ~ spl0_13
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f405,f346,f93,f24343]) ).
fof(f24343,plain,
( spl0_168
<=> ! [X16,X17,X15] : join(X16,join(X15,X17)) = join(join(X16,join(X15,X17)),X15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f405,plain,
( ! [X16,X17,X15] : join(X16,join(X15,X17)) = join(join(X16,join(X15,X17)),X15)
| ~ spl0_13
| ~ spl0_23 ),
inference(superposition,[],[f94,f347]) ).
fof(f24341,plain,
( spl0_167
| ~ spl0_11
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f404,f346,f69,f24339]) ).
fof(f24339,plain,
( spl0_167
<=> ! [X11,X13,X14,X12] : meet(X11,meet(join(X12,join(X11,X13)),X14)) = meet(X11,X14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f404,plain,
( ! [X11,X14,X12,X13] : meet(X11,meet(join(X12,join(X11,X13)),X14)) = meet(X11,X14)
| ~ spl0_11
| ~ spl0_23 ),
inference(superposition,[],[f70,f347]) ).
fof(f23987,plain,
( spl0_166
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f370,f342,f295,f23985]) ).
fof(f23985,plain,
( spl0_166
<=> ! [X27,X28,X26] : meet(X27,meet(X26,X28)) = meet(meet(X27,meet(X26,X28)),X26) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f370,plain,
( ! [X28,X26,X27] : meet(X27,meet(X26,X28)) = meet(meet(X27,meet(X26,X28)),X26)
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f296,f343]) ).
fof(f23983,plain,
( spl0_165
| ~ spl0_12
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f366,f342,f73,f23981]) ).
fof(f23981,plain,
( spl0_165
<=> ! [X11,X13,X14,X12] : join(X11,join(meet(X12,meet(X11,X13)),X14)) = join(X11,X14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f366,plain,
( ! [X11,X14,X12,X13] : join(X11,join(meet(X12,meet(X11,X13)),X14)) = join(X11,X14)
| ~ spl0_12
| ~ spl0_22 ),
inference(superposition,[],[f74,f343]) ).
fof(f23979,plain,
( spl0_164
| ~ spl0_15
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f323,f295,f117,f23977]) ).
fof(f23977,plain,
( spl0_164
<=> ! [X9,X11,X10] : meet(X9,X11) = meet(meet(X9,X11),meet(X9,join(X10,X11))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f323,plain,
( ! [X10,X11,X9] : meet(X9,X11) = meet(meet(X9,X11),meet(X9,join(X10,X11)))
| ~ spl0_15
| ~ spl0_21 ),
inference(superposition,[],[f296,f118]) ).
fof(f23975,plain,
( spl0_163
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f303,f113,f93,f23973]) ).
fof(f23973,plain,
( spl0_163
<=> ! [X11,X12,X10] : join(X10,X12) = join(join(X10,X12),join(X10,meet(X11,X12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f303,plain,
( ! [X10,X11,X12] : join(X10,X12) = join(join(X10,X12),join(X10,meet(X11,X12)))
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f94,f114]) ).
fof(f23971,plain,
( spl0_162
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f291,f253,f117,f113,f23969]) ).
fof(f23969,plain,
( spl0_162
<=> ! [X9,X11,X10] : meet(X9,join(meet(X9,X10),X11)) = meet(X9,join(X10,X11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f291,plain,
( ! [X10,X11,X9] : meet(X9,join(meet(X9,X10),X11)) = meet(X9,join(X10,X11))
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20 ),
inference(forward_demodulation,[],[f288,f118]) ).
fof(f288,plain,
( ! [X10,X11,X9] : join(meet(X9,X10),meet(X9,X11)) = meet(X9,join(meet(X9,X10),X11))
| ~ spl0_14
| ~ spl0_20 ),
inference(superposition,[],[f114,f254]) ).
fof(f23967,plain,
( spl0_161
| ~ spl0_14
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f279,f253,f113,f23965]) ).
fof(f23965,plain,
( spl0_161
<=> ! [X12,X11,X10] : join(X10,X11) = join(join(X10,meet(X11,X12)),join(X10,X11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f279,plain,
( ! [X10,X11,X12] : join(X10,X11) = join(join(X10,meet(X11,X12)),join(X10,X11))
| ~ spl0_14
| ~ spl0_20 ),
inference(superposition,[],[f254,f114]) ).
fof(f23963,plain,
( spl0_160
| ~ spl0_11
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f278,f253,f69,f23961]) ).
fof(f23961,plain,
( spl0_160
<=> ! [X9,X8,X7] : meet(X7,X8) = join(meet(X7,meet(X8,X9)),meet(X7,X8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f278,plain,
( ! [X8,X9,X7] : meet(X7,X8) = join(meet(X7,meet(X8,X9)),meet(X7,X8))
| ~ spl0_11
| ~ spl0_20 ),
inference(superposition,[],[f254,f70]) ).
fof(f23959,plain,
( spl0_159
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f273,f244,f117,f113,f23957]) ).
fof(f23957,plain,
( spl0_159
<=> ! [X4,X5,X3] : join(X3,meet(join(X3,X4),X5)) = join(X3,meet(X4,X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f273,plain,
( ! [X3,X4,X5] : join(X3,meet(join(X3,X4),X5)) = join(X3,meet(X4,X5))
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f267,f114]) ).
fof(f267,plain,
( ! [X3,X4,X5] : meet(join(X3,X4),join(X3,X5)) = join(X3,meet(join(X3,X4),X5))
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f118,f245]) ).
fof(f23955,plain,
( spl0_158
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f272,f244,f117,f113,f52,f23953]) ).
fof(f23953,plain,
( spl0_158
<=> ! [X2,X0,X1] : join(X0,meet(X1,X2)) = join(meet(join(X0,X1),X2),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f272,plain,
( ! [X2,X0,X1] : join(X0,meet(X1,X2)) = join(meet(join(X0,X1),X2),X0)
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f266,f127]) ).
fof(f127,plain,
( ! [X6,X7,X5] : join(X5,meet(X7,X6)) = meet(join(X5,X7),join(X6,X5))
| ~ spl0_9
| ~ spl0_14 ),
inference(superposition,[],[f114,f53]) ).
fof(f266,plain,
( ! [X2,X0,X1] : meet(join(X0,X1),join(X2,X0)) = join(meet(join(X0,X1),X2),X0)
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f118,f245]) ).
fof(f23951,plain,
( spl0_157
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f263,f244,f187,f23949]) ).
fof(f23949,plain,
( spl0_157
<=> ! [X18,X16,X17] : f(X16,X17) = meet(f(X16,join(X17,X18)),f(X16,X17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f187,plain,
( spl0_17
<=> ! [X4,X5,X3] : f(X5,join(X3,X4)) = join(f(X5,X3),f(X5,X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f263,plain,
( ! [X18,X16,X17] : f(X16,X17) = meet(f(X16,join(X17,X18)),f(X16,X17))
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f245,f188]) ).
fof(f188,plain,
( ! [X3,X4,X5] : f(X5,join(X3,X4)) = join(f(X5,X3),f(X5,X4))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f23636,plain,
( spl0_156
| ~ spl0_16
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f262,f244,f183,f23634]) ).
fof(f23634,plain,
( spl0_156
<=> ! [X13,X14,X15] : f(X13,X14) = meet(f(join(X13,X15),X14),f(X13,X14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f262,plain,
( ! [X14,X15,X13] : f(X13,X14) = meet(f(join(X13,X15),X14),f(X13,X14))
| ~ spl0_16
| ~ spl0_19 ),
inference(superposition,[],[f245,f184]) ).
fof(f23632,plain,
( spl0_155
| ~ spl0_12
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f261,f244,f73,f23630]) ).
fof(f23630,plain,
( spl0_155
<=> ! [X12,X11,X10] : join(X10,X11) = meet(join(X10,join(X11,X12)),join(X10,X11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f261,plain,
( ! [X10,X11,X12] : join(X10,X11) = meet(join(X10,join(X11,X12)),join(X10,X11))
| ~ spl0_12
| ~ spl0_19 ),
inference(superposition,[],[f245,f74]) ).
fof(f23628,plain,
( spl0_154
| ~ spl0_15
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f260,f244,f117,f23626]) ).
fof(f23626,plain,
( spl0_154
<=> ! [X9,X8,X7] : meet(X7,X8) = meet(meet(X7,join(X8,X9)),meet(X7,X8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f260,plain,
( ! [X8,X9,X7] : meet(X7,X8) = meet(meet(X7,join(X8,X9)),meet(X7,X8))
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f245,f118]) ).
fof(f22364,plain,
( spl0_153
| ~ spl0_96
| ~ spl0_102
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f13214,f9665,f9609,f7483,f22362]) ).
fof(f22362,plain,
( spl0_153
<=> ! [X50,X51] : join(X50,X51) = join(join(X51,X50),X50) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f7483,plain,
( spl0_96
<=> ! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f9609,plain,
( spl0_102
<=> ! [X6,X8,X7] : join(X6,X8) = join(meet(X6,X7),join(X6,X8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f9665,plain,
( spl0_116
<=> ! [X38,X37,X39] : join(X39,X37) = join(meet(X37,X38),join(X37,X39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f13214,plain,
( ! [X50,X51] : join(X50,X51) = join(join(X51,X50),X50)
| ~ spl0_96
| ~ spl0_102
| ~ spl0_116 ),
inference(forward_demodulation,[],[f13062,f9610]) ).
fof(f9610,plain,
( ! [X8,X6,X7] : join(X6,X8) = join(meet(X6,X7),join(X6,X8))
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f9609]) ).
fof(f13062,plain,
( ! [X50,X51,X52] : join(join(X51,X50),X50) = join(meet(X50,X52),join(X50,X51))
| ~ spl0_96
| ~ spl0_116 ),
inference(superposition,[],[f9666,f7484]) ).
fof(f7484,plain,
( ! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0))
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f7483]) ).
fof(f9666,plain,
( ! [X38,X39,X37] : join(X39,X37) = join(meet(X37,X38),join(X37,X39))
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f9665]) ).
fof(f18603,plain,
( spl0_152
| ~ spl0_7
| ~ spl0_35
| ~ spl0_95
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f13208,f9665,f7479,f516,f44,f18601]) ).
fof(f18601,plain,
( spl0_152
<=> ! [X32,X33] : join(X33,X32) = join(join(X32,X33),X32) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f7479,plain,
( spl0_95
<=> ! [X0,X1] : join(X1,X0) = join(X0,join(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f13208,plain,
( ! [X32,X33] : join(X33,X32) = join(join(X32,X33),X32)
| ~ spl0_7
| ~ spl0_35
| ~ spl0_95
| ~ spl0_116 ),
inference(forward_demodulation,[],[f13057,f923]) ).
fof(f923,plain,
( ! [X10,X8,X9] : join(X10,X8) = join(meet(X8,X9),join(X10,X8))
| ~ spl0_7
| ~ spl0_35 ),
inference(superposition,[],[f517,f45]) ).
fof(f13057,plain,
( ! [X34,X32,X33] : join(join(X32,X33),X32) = join(meet(X32,X34),join(X33,X32))
| ~ spl0_95
| ~ spl0_116 ),
inference(superposition,[],[f9666,f7480]) ).
fof(f7480,plain,
( ! [X0,X1] : join(X1,X0) = join(X0,join(X0,X1))
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f7479]) ).
fof(f15257,plain,
( spl0_151
| ~ spl0_6
| ~ spl0_30
| ~ spl0_93
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f11900,f9645,f7471,f495,f40,f15255]) ).
fof(f9645,plain,
( spl0_111
<=> ! [X45,X46,X47] : meet(X47,X45) = meet(join(X45,X46),meet(X45,X47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f11900,plain,
( ! [X8,X9] : meet(X9,X8) = meet(meet(X8,X9),X8)
| ~ spl0_6
| ~ spl0_30
| ~ spl0_93
| ~ spl0_111 ),
inference(forward_demodulation,[],[f11765,f655]) ).
fof(f655,plain,
( ! [X24,X25,X23] : meet(X25,X23) = meet(join(X23,X24),meet(X25,X23))
| ~ spl0_6
| ~ spl0_30 ),
inference(superposition,[],[f496,f41]) ).
fof(f11765,plain,
( ! [X10,X8,X9] : meet(meet(X8,X9),X8) = meet(join(X8,X10),meet(X9,X8))
| ~ spl0_93
| ~ spl0_111 ),
inference(superposition,[],[f9646,f7472]) ).
fof(f9646,plain,
( ! [X46,X47,X45] : meet(X47,X45) = meet(join(X45,X46),meet(X45,X47))
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f9645]) ).
fof(f15253,plain,
( spl0_150
| ~ spl0_5
| ~ spl0_38
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f2843,f2299,f530,f36,f15251]) ).
fof(f15251,plain,
( spl0_150
<=> ! [X91,X92,X90] : n0 = meet(n0,f(X92,f(X90,join(n0,X91)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f36,plain,
( spl0_5
<=> ! [X5] : n0 = f(X5,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f530,plain,
( spl0_38
<=> ! [X2,X3] : f(X2,join(n0,X3)) = join(n0,f(X2,X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f2299,plain,
( spl0_59
<=> ! [X22,X24,X23] : f(X22,X23) = meet(f(X22,X23),f(X22,join(X23,X24))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f2843,plain,
( ! [X90,X91,X92] : n0 = meet(n0,f(X92,f(X90,join(n0,X91))))
| ~ spl0_5
| ~ spl0_38
| ~ spl0_59 ),
inference(forward_demodulation,[],[f2812,f37]) ).
fof(f37,plain,
( ! [X5] : n0 = f(X5,n0)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f2812,plain,
( ! [X90,X91,X92] : f(X92,n0) = meet(f(X92,n0),f(X92,f(X90,join(n0,X91))))
| ~ spl0_38
| ~ spl0_59 ),
inference(superposition,[],[f2300,f531]) ).
fof(f531,plain,
( ! [X2,X3] : f(X2,join(n0,X3)) = join(n0,f(X2,X3))
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f2300,plain,
( ! [X24,X22,X23] : f(X22,X23) = meet(f(X22,X23),f(X22,join(X23,X24)))
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f2299]) ).
fof(f15249,plain,
( spl0_149
| ~ spl0_17
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f2731,f2295,f187,f15247]) ).
fof(f15247,plain,
( spl0_149
<=> ! [X9,X8,X7] : f(X7,join(X8,X9)) = f(X7,join(X9,X8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f2295,plain,
( spl0_58
<=> ! [X9,X8,X7] : join(f(X7,X9),f(X7,X8)) = f(X7,join(X8,X9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f2731,plain,
( ! [X8,X9,X7] : f(X7,join(X8,X9)) = f(X7,join(X9,X8))
| ~ spl0_17
| ~ spl0_58 ),
inference(superposition,[],[f2296,f188]) ).
fof(f2296,plain,
( ! [X8,X9,X7] : join(f(X7,X9),f(X7,X8)) = f(X7,join(X8,X9))
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f2295]) ).
fof(f15245,plain,
( spl0_148
| ~ spl0_5
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f2725,f2295,f36,f15243]) ).
fof(f15243,plain,
( spl0_148
<=> ! [X2,X3] : f(X2,join(n0,X3)) = join(f(X2,X3),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f2725,plain,
( ! [X2,X3] : f(X2,join(n0,X3)) = join(f(X2,X3),n0)
| ~ spl0_5
| ~ spl0_58 ),
inference(superposition,[],[f2296,f37]) ).
fof(f15241,plain,
( spl0_147
| ~ spl0_16
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f2588,f2283,f183,f15239]) ).
fof(f15239,plain,
( spl0_147
<=> ! [X4,X5,X3] : f(join(X3,X5),X4) = f(join(X5,X3),X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f2283,plain,
( spl0_55
<=> ! [X6,X5,X7] : join(f(X7,X6),f(X5,X6)) = f(join(X5,X7),X6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f2588,plain,
( ! [X3,X4,X5] : f(join(X3,X5),X4) = f(join(X5,X3),X4)
| ~ spl0_16
| ~ spl0_55 ),
inference(superposition,[],[f2284,f184]) ).
fof(f2284,plain,
( ! [X6,X7,X5] : join(f(X7,X6),f(X5,X6)) = f(join(X5,X7),X6)
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f2283]) ).
fof(f15237,plain,
( spl0_146
| ~ spl0_9
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f1130,f1042,f52,f15235]) ).
fof(f15235,plain,
( spl0_146
<=> ! [X2,X1] : f(X1,join(X2,n0)) = f(join(n0,X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f1042,plain,
( spl0_41
<=> ! [X0,X1] : f(join(X1,n0),X0) = f(X1,join(X0,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f1130,plain,
( ! [X2,X1] : f(X1,join(X2,n0)) = f(join(n0,X1),X2)
| ~ spl0_9
| ~ spl0_41 ),
inference(superposition,[],[f1043,f53]) ).
fof(f1043,plain,
( ! [X0,X1] : f(join(X1,n0),X0) = f(X1,join(X0,n0))
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f15233,plain,
( spl0_145
| ~ spl0_9
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f1093,f1038,f52,f15231]) ).
fof(f15231,plain,
( spl0_145
<=> ! [X4,X5] : f(X4,join(n0,X5)) = f(join(X4,n0),X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f1038,plain,
( spl0_40
<=> ! [X0,X1] : f(join(n0,X1),X0) = f(X1,join(n0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f1093,plain,
( ! [X4,X5] : f(X4,join(n0,X5)) = f(join(X4,n0),X5)
| ~ spl0_9
| ~ spl0_40 ),
inference(superposition,[],[f1039,f53]) ).
fof(f1039,plain,
( ! [X0,X1] : f(join(n0,X1),X0) = f(X1,join(n0,X0))
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f1038]) ).
fof(f15229,plain,
( spl0_144
| ~ spl0_9
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f1068,f534,f52,f15227]) ).
fof(f15227,plain,
( spl0_144
<=> ! [X2,X3] : join(n0,f(X2,X3)) = f(X2,join(X3,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f534,plain,
( spl0_39
<=> ! [X2,X3] : f(X2,join(X3,n0)) = join(f(X2,X3),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f1068,plain,
( ! [X2,X3] : join(n0,f(X2,X3)) = f(X2,join(X3,n0))
| ~ spl0_9
| ~ spl0_39 ),
inference(superposition,[],[f535,f53]) ).
fof(f535,plain,
( ! [X2,X3] : f(X2,join(X3,n0)) = join(f(X2,X3),n0)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f15225,plain,
( spl0_143
| ~ spl0_13
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f949,f516,f93,f15223]) ).
fof(f15223,plain,
( spl0_143
<=> ! [X13,X12,X11] : join(X13,X11) = join(X11,join(meet(X12,X11),X13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f949,plain,
( ! [X11,X12,X13] : join(X13,X11) = join(X11,join(meet(X12,X11),X13))
| ~ spl0_13
| ~ spl0_35 ),
inference(superposition,[],[f517,f94]) ).
fof(f15221,plain,
( spl0_142
| ~ spl0_7
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f948,f516,f44,f15219]) ).
fof(f15219,plain,
( spl0_142
<=> ! [X9,X8,X10] : join(X10,X8) = join(X8,join(meet(X8,X9),X10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f948,plain,
( ! [X10,X8,X9] : join(X10,X8) = join(X8,join(meet(X8,X9),X10))
| ~ spl0_7
| ~ spl0_35 ),
inference(superposition,[],[f517,f45]) ).
fof(f15217,plain,
( spl0_141
| ~ spl0_9
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f940,f516,f52,f15215]) ).
fof(f15215,plain,
( spl0_141
<=> ! [X13,X14,X15] : join(join(X14,X15),X13) = join(X15,join(X13,X14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f940,plain,
( ! [X14,X15,X13] : join(join(X14,X15),X13) = join(X15,join(X13,X14))
| ~ spl0_9
| ~ spl0_35 ),
inference(superposition,[],[f517,f53]) ).
fof(f15112,plain,
( spl0_140
| ~ spl0_13
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f924,f516,f93,f15110]) ).
fof(f15110,plain,
( spl0_140
<=> ! [X13,X12,X11] : join(X13,X11) = join(meet(X12,X11),join(X13,X11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f924,plain,
( ! [X11,X12,X13] : join(X13,X11) = join(meet(X12,X11),join(X13,X11))
| ~ spl0_13
| ~ spl0_35 ),
inference(superposition,[],[f517,f94]) ).
fof(f15108,plain,
( spl0_139
| ~ spl0_7
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f923,f516,f44,f15106]) ).
fof(f15106,plain,
( spl0_139
<=> ! [X9,X8,X10] : join(X10,X8) = join(meet(X8,X9),join(X10,X8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f15104,plain,
( spl0_138
| ~ spl0_9
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f870,f507,f52,f15102]) ).
fof(f15102,plain,
( spl0_138
<=> ! [X9,X8,X10] : join(X10,join(X8,X9)) = join(X9,join(X8,X10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f870,plain,
( ! [X10,X8,X9] : join(X10,join(X8,X9)) = join(X9,join(X8,X10))
| ~ spl0_9
| ~ spl0_33 ),
inference(superposition,[],[f508,f53]) ).
fof(f15100,plain,
( spl0_137
| ~ spl0_12
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f868,f507,f73,f15098]) ).
fof(f15098,plain,
( spl0_137
<=> ! [X4,X5,X3] : join(X3,join(X4,X5)) = join(X4,join(X3,X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f868,plain,
( ! [X3,X4,X5] : join(X3,join(X4,X5)) = join(X4,join(X3,X5))
| ~ spl0_12
| ~ spl0_33 ),
inference(superposition,[],[f508,f74]) ).
fof(f15096,plain,
( spl0_136
| ~ spl0_13
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f858,f507,f93,f15094]) ).
fof(f15094,plain,
( spl0_136
<=> ! [X13,X12,X11] : join(X11,X13) = join(meet(X12,X11),join(X11,X13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f858,plain,
( ! [X11,X12,X13] : join(X11,X13) = join(meet(X12,X11),join(X11,X13))
| ~ spl0_13
| ~ spl0_33 ),
inference(superposition,[],[f508,f94]) ).
fof(f15092,plain,
( spl0_135
| ~ spl0_9
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f817,f499,f52,f15090]) ).
fof(f15090,plain,
( spl0_135
<=> ! [X9,X8,X7] : join(X7,X9) = join(X7,join(X9,meet(X7,X8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f817,plain,
( ! [X8,X9,X7] : join(X7,X9) = join(X7,join(X9,meet(X7,X8)))
| ~ spl0_9
| ~ spl0_31 ),
inference(superposition,[],[f500,f53]) ).
fof(f15088,plain,
( spl0_134
| ~ spl0_21
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f680,f495,f295,f15086]) ).
fof(f680,plain,
( ! [X28,X26,X27] : meet(X28,X26) = meet(X26,meet(join(X27,X26),X28))
| ~ spl0_21
| ~ spl0_30 ),
inference(superposition,[],[f496,f296]) ).
fof(f15084,plain,
( spl0_133
| ~ spl0_6
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f679,f495,f40,f15082]) ).
fof(f15082,plain,
( spl0_133
<=> ! [X24,X25,X23] : meet(X23,meet(join(X23,X24),X25)) = meet(X25,X23) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f679,plain,
( ! [X24,X25,X23] : meet(X23,meet(join(X23,X24),X25)) = meet(X25,X23)
| ~ spl0_6
| ~ spl0_30 ),
inference(superposition,[],[f496,f41]) ).
fof(f15080,plain,
( spl0_132
| ~ spl0_8
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f667,f495,f48,f15078]) ).
fof(f15078,plain,
( spl0_132
<=> ! [X13,X14,X15] : meet(meet(X14,X15),X13) = meet(X15,meet(X13,X14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f667,plain,
( ! [X14,X15,X13] : meet(meet(X14,X15),X13) = meet(X15,meet(X13,X14))
| ~ spl0_8
| ~ spl0_30 ),
inference(superposition,[],[f496,f49]) ).
fof(f15076,plain,
( spl0_131
| ~ spl0_21
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f656,f495,f295,f15074]) ).
fof(f15074,plain,
( spl0_131
<=> ! [X27,X28,X26] : meet(X28,X26) = meet(join(X27,X26),meet(X28,X26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f656,plain,
( ! [X28,X26,X27] : meet(X28,X26) = meet(join(X27,X26),meet(X28,X26))
| ~ spl0_21
| ~ spl0_30 ),
inference(superposition,[],[f496,f296]) ).
fof(f14967,plain,
( spl0_130
| ~ spl0_6
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f655,f495,f40,f14965]) ).
fof(f14965,plain,
( spl0_130
<=> ! [X24,X25,X23] : meet(X25,X23) = meet(join(X23,X24),meet(X25,X23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f14963,plain,
( spl0_129
| ~ spl0_8
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f599,f486,f48,f14961]) ).
fof(f14961,plain,
( spl0_129
<=> ! [X9,X8,X10] : meet(X10,meet(X8,X9)) = meet(X9,meet(X8,X10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f599,plain,
( ! [X10,X8,X9] : meet(X10,meet(X8,X9)) = meet(X9,meet(X8,X10))
| ~ spl0_8
| ~ spl0_28 ),
inference(superposition,[],[f487,f49]) ).
fof(f14959,plain,
( spl0_128
| ~ spl0_11
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f597,f486,f69,f14957]) ).
fof(f14957,plain,
( spl0_128
<=> ! [X4,X5,X3] : meet(X3,meet(X4,X5)) = meet(X4,meet(X3,X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f597,plain,
( ! [X3,X4,X5] : meet(X3,meet(X4,X5)) = meet(X4,meet(X3,X5))
| ~ spl0_11
| ~ spl0_28 ),
inference(superposition,[],[f487,f70]) ).
fof(f14955,plain,
( spl0_127
| ~ spl0_21
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f590,f486,f295,f14953]) ).
fof(f14953,plain,
( spl0_127
<=> ! [X20,X19,X18] : meet(X18,X20) = meet(join(X19,X18),meet(X18,X20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f590,plain,
( ! [X18,X19,X20] : meet(X18,X20) = meet(join(X19,X18),meet(X18,X20))
| ~ spl0_21
| ~ spl0_28 ),
inference(superposition,[],[f487,f296]) ).
fof(f14951,plain,
( spl0_126
| ~ spl0_8
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f550,f482,f48,f14949]) ).
fof(f14949,plain,
( spl0_126
<=> ! [X9,X8,X7] : meet(X7,X9) = meet(X7,meet(X9,join(X7,X8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f550,plain,
( ! [X8,X9,X7] : meet(X7,X9) = meet(X7,meet(X9,join(X7,X8)))
| ~ spl0_8
| ~ spl0_27 ),
inference(superposition,[],[f483,f49]) ).
fof(f14947,plain,
( spl0_125
| ~ spl0_11
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f331,f295,f69,f14945]) ).
fof(f331,plain,
( ! [X8,X9,X7] : meet(X7,X9) = meet(X7,meet(join(X8,X7),X9))
| ~ spl0_11
| ~ spl0_21 ),
inference(superposition,[],[f70,f296]) ).
fof(f14943,plain,
( spl0_124
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f309,f93,f73,f14941]) ).
fof(f14941,plain,
( spl0_124
<=> ! [X9,X7,X8] : join(X7,join(meet(X8,X7),X9)) = join(X7,X9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f309,plain,
( ! [X8,X9,X7] : join(X7,join(meet(X8,X7),X9)) = join(X7,X9)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f74,f94]) ).
fof(f11270,plain,
( spl0_123
| ~ spl0_4
| ~ spl0_32
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f1216,f1042,f503,f32,f11268]) ).
fof(f11268,plain,
( spl0_123
<=> ! [X52,X53] : n0 = f(meet(X52,n0),join(X53,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f32,plain,
( spl0_4
<=> ! [X5] : n0 = f(n0,X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f503,plain,
( spl0_32
<=> ! [X4,X3] : join(meet(X4,X3),X3) = X3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f1216,plain,
( ! [X52,X53] : n0 = f(meet(X52,n0),join(X53,n0))
| ~ spl0_4
| ~ spl0_32
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1207,f33]) ).
fof(f33,plain,
( ! [X5] : n0 = f(n0,X5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f1207,plain,
( ! [X52,X53] : f(meet(X52,n0),join(X53,n0)) = f(n0,X53)
| ~ spl0_32
| ~ spl0_41 ),
inference(superposition,[],[f1043,f504]) ).
fof(f504,plain,
( ! [X3,X4] : join(meet(X4,X3),X3) = X3
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f9691,plain,
( spl0_122
| ~ spl0_15
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f2019,f1238,f117,f9689]) ).
fof(f9689,plain,
( spl0_122
<=> ! [X4,X5,X3] : meet(X3,join(X4,X5)) = meet(X3,join(X5,X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f1238,plain,
( spl0_48
<=> ! [X6,X5,X7] : meet(X5,join(X6,X7)) = join(meet(X5,X7),meet(X5,X6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f2019,plain,
( ! [X3,X4,X5] : meet(X3,join(X4,X5)) = meet(X3,join(X5,X4))
| ~ spl0_15
| ~ spl0_48 ),
inference(superposition,[],[f1239,f118]) ).
fof(f1239,plain,
( ! [X6,X7,X5] : meet(X5,join(X6,X7)) = join(meet(X5,X7),meet(X5,X6))
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f1238]) ).
fof(f9687,plain,
( spl0_121
| ~ spl0_14
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f1502,f1222,f113,f9685]) ).
fof(f9685,plain,
( spl0_121
<=> ! [X4,X5,X3] : join(X3,meet(X4,X5)) = join(X3,meet(X5,X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f1502,plain,
( ! [X3,X4,X5] : join(X3,meet(X4,X5)) = join(X3,meet(X5,X4))
| ~ spl0_14
| ~ spl0_44 ),
inference(superposition,[],[f1223,f114]) ).
fof(f9683,plain,
( spl0_120
| ~ spl0_4
| ~ spl0_22
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f1113,f1038,f342,f32,f9681]) ).
fof(f9681,plain,
( spl0_120
<=> ! [X13,X12,X14] : n0 = f(meet(X12,meet(n0,X13)),join(n0,X14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f1113,plain,
( ! [X14,X12,X13] : n0 = f(meet(X12,meet(n0,X13)),join(n0,X14))
| ~ spl0_4
| ~ spl0_22
| ~ spl0_40 ),
inference(forward_demodulation,[],[f1097,f33]) ).
fof(f1097,plain,
( ! [X14,X12,X13] : f(meet(X12,meet(n0,X13)),join(n0,X14)) = f(n0,X14)
| ~ spl0_22
| ~ spl0_40 ),
inference(superposition,[],[f1039,f343]) ).
fof(f9679,plain,
( spl0_119
| ~ spl0_24
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f1079,f534,f382,f9677]) ).
fof(f9677,plain,
( spl0_119
<=> ! [X22,X23] : n0 = meet(f(X22,join(X23,n0)),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f382,plain,
( spl0_24
<=> ! [X4,X3] : meet(join(X4,X3),X3) = X3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f1079,plain,
( ! [X22,X23] : n0 = meet(f(X22,join(X23,n0)),n0)
| ~ spl0_24
| ~ spl0_39 ),
inference(superposition,[],[f383,f535]) ).
fof(f383,plain,
( ! [X3,X4] : meet(join(X4,X3),X3) = X3
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f9675,plain,
( spl0_118
| ~ spl0_23
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f1054,f530,f346,f9673]) ).
fof(f9673,plain,
( spl0_118
<=> ! [X20,X21,X19] : n0 = meet(n0,join(X21,f(X19,join(n0,X20)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f1054,plain,
( ! [X21,X19,X20] : n0 = meet(n0,join(X21,f(X19,join(n0,X20))))
| ~ spl0_23
| ~ spl0_38 ),
inference(superposition,[],[f347,f531]) ).
fof(f9671,plain,
( spl0_117
| ~ spl0_23
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f1001,f516,f346,f9669]) ).
fof(f9669,plain,
( spl0_117
<=> ! [X38,X40,X39,X37] : meet(X37,join(X40,join(X38,join(X39,X37)))) = X37 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f1001,plain,
( ! [X40,X38,X39,X37] : meet(X37,join(X40,join(X38,join(X39,X37)))) = X37
| ~ spl0_23
| ~ spl0_35 ),
inference(superposition,[],[f347,f517]) ).
fof(f9667,plain,
( spl0_116
| ~ spl0_20
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f956,f516,f253,f9665]) ).
fof(f956,plain,
( ! [X38,X39,X37] : join(X39,X37) = join(meet(X37,X38),join(X37,X39))
| ~ spl0_20
| ~ spl0_35 ),
inference(superposition,[],[f517,f254]) ).
fof(f9663,plain,
( spl0_115
| ~ spl0_13
| ~ spl0_14
| ~ spl0_26
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f904,f507,f425,f113,f93,f9661]) ).
fof(f9661,plain,
( spl0_115
<=> ! [X18,X17,X19] : join(X17,X18) = join(X18,join(X17,meet(X19,X18))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f904,plain,
( ! [X18,X19,X17] : join(X17,X18) = join(X18,join(X17,meet(X19,X18)))
| ~ spl0_13
| ~ spl0_14
| ~ spl0_26
| ~ spl0_33 ),
inference(forward_demodulation,[],[f873,f479]) ).
fof(f873,plain,
( ! [X18,X19,X17] : join(X17,X18) = join(X18,join(X17,meet(X19,join(X17,X18))))
| ~ spl0_13
| ~ spl0_33 ),
inference(superposition,[],[f508,f94]) ).
fof(f9659,plain,
( spl0_114
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f903,f507,f244,f117,f113,f44,f9657]) ).
fof(f9657,plain,
( spl0_114
<=> ! [X16,X14,X15] : join(X14,X15) = join(X15,join(X14,meet(X15,X16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f903,plain,
( ! [X16,X14,X15] : join(X14,X15) = join(X15,join(X14,meet(X15,X16)))
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19
| ~ spl0_33 ),
inference(forward_demodulation,[],[f872,f273]) ).
fof(f872,plain,
( ! [X16,X14,X15] : join(X14,X15) = join(X15,join(X14,meet(join(X14,X15),X16)))
| ~ spl0_7
| ~ spl0_33 ),
inference(superposition,[],[f508,f45]) ).
fof(f9655,plain,
( spl0_113
| ~ spl0_23
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f824,f499,f346,f9653]) ).
fof(f9653,plain,
( spl0_113
<=> ! [X2,X0,X1] : meet(X0,X1) = meet(meet(X0,X1),join(X0,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f824,plain,
( ! [X2,X0,X1] : meet(X0,X1) = meet(meet(X0,X1),join(X0,X2))
| ~ spl0_23
| ~ spl0_31 ),
inference(superposition,[],[f347,f500]) ).
fof(f9651,plain,
( spl0_112
| ~ spl0_22
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f725,f495,f342,f9649]) ).
fof(f9649,plain,
( spl0_112
<=> ! [X38,X40,X39,X37] : join(X37,meet(X40,meet(X38,meet(X39,X37)))) = X37 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f725,plain,
( ! [X40,X38,X39,X37] : join(X37,meet(X40,meet(X38,meet(X39,X37)))) = X37
| ~ spl0_22
| ~ spl0_30 ),
inference(superposition,[],[f343,f496]) ).
fof(f9647,plain,
( spl0_111
| ~ spl0_19
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f685,f495,f244,f9645]) ).
fof(f685,plain,
( ! [X46,X47,X45] : meet(X47,X45) = meet(join(X45,X46),meet(X45,X47))
| ~ spl0_19
| ~ spl0_30 ),
inference(superposition,[],[f496,f245]) ).
fof(f9643,plain,
( spl0_110
| ~ spl0_15
| ~ spl0_21
| ~ spl0_25
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f635,f486,f421,f295,f117,f9641]) ).
fof(f9641,plain,
( spl0_110
<=> ! [X25,X24,X26] : meet(X24,X25) = meet(X25,meet(X24,join(X26,X25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f635,plain,
( ! [X26,X24,X25] : meet(X24,X25) = meet(X25,meet(X24,join(X26,X25)))
| ~ spl0_15
| ~ spl0_21
| ~ spl0_25
| ~ spl0_28 ),
inference(forward_demodulation,[],[f604,f452]) ).
fof(f604,plain,
( ! [X26,X24,X25] : meet(X24,X25) = meet(X25,meet(X24,join(X26,meet(X24,X25))))
| ~ spl0_21
| ~ spl0_28 ),
inference(superposition,[],[f487,f296]) ).
fof(f9639,plain,
( spl0_109
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f634,f486,f253,f117,f113,f40,f9637]) ).
fof(f9637,plain,
( spl0_109
<=> ! [X22,X21,X23] : meet(X21,X22) = meet(X22,meet(X21,join(X22,X23))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f634,plain,
( ! [X21,X22,X23] : meet(X21,X22) = meet(X22,meet(X21,join(X22,X23)))
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20
| ~ spl0_28 ),
inference(forward_demodulation,[],[f603,f291]) ).
fof(f603,plain,
( ! [X21,X22,X23] : meet(X21,X22) = meet(X22,meet(X21,join(meet(X21,X22),X23)))
| ~ spl0_6
| ~ spl0_28 ),
inference(superposition,[],[f487,f41]) ).
fof(f9635,plain,
( spl0_108
| ~ spl0_12
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f770,f382,f73,f9633]) ).
fof(f9633,plain,
( spl0_108
<=> ! [X20,X21,X19] : meet(join(X19,join(X20,X21)),X21) = X21 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f770,plain,
( ! [X21,X19,X20] : meet(join(X19,join(X20,X21)),X21) = X21
| ~ spl0_12
| ~ spl0_24 ),
inference(superposition,[],[f383,f74]) ).
fof(f9631,plain,
( spl0_107
| ~ spl0_22
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f557,f482,f342,f9629]) ).
fof(f9629,plain,
( spl0_107
<=> ! [X2,X0,X1] : join(X0,X1) = join(join(X0,X1),meet(X0,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f557,plain,
( ! [X2,X0,X1] : join(X0,X1) = join(join(X0,X1),meet(X0,X2))
| ~ spl0_22
| ~ spl0_27 ),
inference(superposition,[],[f343,f483]) ).
fof(f9627,plain,
( spl0_106
| ~ spl0_12
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f400,f346,f73,f9625]) ).
fof(f9625,plain,
( spl0_106
<=> ! [X11,X13,X14,X12] : meet(X13,join(X11,join(X12,join(X13,X14)))) = X13 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f400,plain,
( ! [X11,X14,X12,X13] : meet(X13,join(X11,join(X12,join(X13,X14)))) = X13
| ~ spl0_12
| ~ spl0_23 ),
inference(superposition,[],[f347,f74]) ).
fof(f9623,plain,
( spl0_105
| ~ spl0_20
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f392,f346,f253,f9621]) ).
fof(f9621,plain,
( spl0_105
<=> ! [X22,X24,X23] : meet(X22,X23) = meet(meet(X22,X23),join(X24,X22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f392,plain,
( ! [X24,X22,X23] : meet(X22,X23) = meet(meet(X22,X23),join(X24,X22))
| ~ spl0_20
| ~ spl0_23 ),
inference(superposition,[],[f347,f254]) ).
fof(f9619,plain,
( spl0_104
| ~ spl0_11
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f361,f342,f69,f9617]) ).
fof(f9617,plain,
( spl0_104
<=> ! [X10,X11,X9,X8] : join(X10,meet(X8,meet(X9,meet(X10,X11)))) = X10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f361,plain,
( ! [X10,X11,X8,X9] : join(X10,meet(X8,meet(X9,meet(X10,X11)))) = X10
| ~ spl0_11
| ~ spl0_22 ),
inference(superposition,[],[f343,f70]) ).
fof(f9615,plain,
( spl0_103
| ~ spl0_19
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f356,f342,f244,f9613]) ).
fof(f9613,plain,
( spl0_103
<=> ! [X22,X24,X23] : join(X22,X23) = join(join(X22,X23),meet(X24,X22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f356,plain,
( ! [X24,X22,X23] : join(X22,X23) = join(join(X22,X23),meet(X24,X22))
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f343,f245]) ).
fof(f9611,plain,
( spl0_102
| ~ spl0_12
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f287,f253,f73,f9609]) ).
fof(f287,plain,
( ! [X8,X6,X7] : join(X6,X8) = join(meet(X6,X7),join(X6,X8))
| ~ spl0_12
| ~ spl0_20 ),
inference(superposition,[],[f74,f254]) ).
fof(f9607,plain,
( spl0_101
| ~ spl0_11
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f268,f244,f69,f9605]) ).
fof(f9605,plain,
( spl0_101
<=> ! [X6,X8,X7] : meet(X6,X8) = meet(join(X6,X7),meet(X6,X8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f268,plain,
( ! [X8,X6,X7] : meet(X6,X8) = meet(join(X6,X7),meet(X6,X8))
| ~ spl0_11
| ~ spl0_19 ),
inference(superposition,[],[f70,f245]) ).
fof(f7501,plain,
( spl0_100
| ~ spl0_4
| ~ spl0_13
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f1112,f1038,f93,f32,f7499]) ).
fof(f7499,plain,
( spl0_100
<=> ! [X11,X10] : n0 = f(meet(X10,n0),join(n0,X11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f1112,plain,
( ! [X10,X11] : n0 = f(meet(X10,n0),join(n0,X11))
| ~ spl0_4
| ~ spl0_13
| ~ spl0_40 ),
inference(forward_demodulation,[],[f1096,f33]) ).
fof(f1096,plain,
( ! [X10,X11] : f(meet(X10,n0),join(n0,X11)) = f(n0,X11)
| ~ spl0_13
| ~ spl0_40 ),
inference(superposition,[],[f1039,f94]) ).
fof(f7497,plain,
( spl0_99
| ~ spl0_4
| ~ spl0_7
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f1111,f1038,f44,f32,f7495]) ).
fof(f7495,plain,
( spl0_99
<=> ! [X9,X8] : n0 = f(meet(n0,X8),join(n0,X9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f1111,plain,
( ! [X8,X9] : n0 = f(meet(n0,X8),join(n0,X9))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_40 ),
inference(forward_demodulation,[],[f1095,f33]) ).
fof(f1095,plain,
( ! [X8,X9] : f(meet(n0,X8),join(n0,X9)) = f(n0,X9)
| ~ spl0_7
| ~ spl0_40 ),
inference(superposition,[],[f1039,f45]) ).
fof(f7493,plain,
( spl0_98
| ~ spl0_21
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f1077,f534,f295,f7491]) ).
fof(f7491,plain,
( spl0_98
<=> ! [X18,X17] : n0 = meet(n0,f(X17,join(X18,n0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f1077,plain,
( ! [X18,X17] : n0 = meet(n0,f(X17,join(X18,n0)))
| ~ spl0_21
| ~ spl0_39 ),
inference(superposition,[],[f296,f535]) ).
fof(f7489,plain,
( spl0_97
| ~ spl0_6
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f1048,f530,f40,f7487]) ).
fof(f7487,plain,
( spl0_97
<=> ! [X0,X1] : n0 = meet(n0,f(X0,join(n0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f1048,plain,
( ! [X0,X1] : n0 = meet(n0,f(X0,join(n0,X1)))
| ~ spl0_6
| ~ spl0_38 ),
inference(superposition,[],[f41,f531]) ).
fof(f7485,plain,
( spl0_96
| ~ spl0_26
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f961,f516,f425,f7483]) ).
fof(f961,plain,
( ! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0))
| ~ spl0_26
| ~ spl0_35 ),
inference(superposition,[],[f517,f426]) ).
fof(f7481,plain,
( spl0_95
| ~ spl0_3
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f945,f516,f28,f7479]) ).
fof(f28,plain,
( spl0_3
<=> ! [X0] : join(X0,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f945,plain,
( ! [X0,X1] : join(X1,X0) = join(X0,join(X0,X1))
| ~ spl0_3
| ~ spl0_35 ),
inference(superposition,[],[f517,f29]) ).
fof(f29,plain,
( ! [X0] : join(X0,X0) = X0
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f7477,plain,
( spl0_94
| ~ spl0_25
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f687,f495,f421,f7475]) ).
fof(f7475,plain,
( spl0_94
<=> ! [X0,X1] : meet(X0,X1) = meet(X0,meet(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f687,plain,
( ! [X0,X1] : meet(X0,X1) = meet(X0,meet(X1,X0))
| ~ spl0_25
| ~ spl0_30 ),
inference(superposition,[],[f496,f422]) ).
fof(f7473,plain,
( spl0_93
| ~ spl0_2
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f672,f495,f24,f7471]) ).
fof(f24,plain,
( spl0_2
<=> ! [X0] : meet(X0,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f672,plain,
( ! [X0,X1] : meet(X1,X0) = meet(X0,meet(X0,X1))
| ~ spl0_2
| ~ spl0_30 ),
inference(superposition,[],[f496,f25]) ).
fof(f25,plain,
( ! [X0] : meet(X0,X0) = X0
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f7469,plain,
( spl0_92
| ~ spl0_9
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f455,f425,f52,f7467]) ).
fof(f7467,plain,
( spl0_92
<=> ! [X2,X1] : join(X2,X1) = join(X1,join(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f455,plain,
( ! [X2,X1] : join(X2,X1) = join(X1,join(X2,X1))
| ~ spl0_9
| ~ spl0_26 ),
inference(superposition,[],[f426,f53]) ).
fof(f7465,plain,
( spl0_91
| ~ spl0_8
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f429,f421,f48,f7463]) ).
fof(f7463,plain,
( spl0_91
<=> ! [X2,X1] : meet(X2,X1) = meet(X1,meet(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f429,plain,
( ! [X2,X1] : meet(X2,X1) = meet(X1,meet(X2,X1))
| ~ spl0_8
| ~ spl0_25 ),
inference(superposition,[],[f422,f49]) ).
fof(f7461,plain,
( spl0_90
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f332,f295,f93,f7459]) ).
fof(f7459,plain,
( spl0_90
<=> ! [X11,X10] : join(X11,X10) = join(join(X11,X10),X10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f332,plain,
( ! [X10,X11] : join(X11,X10) = join(join(X11,X10),X10)
| ~ spl0_13
| ~ spl0_21 ),
inference(superposition,[],[f94,f296]) ).
fof(f7457,plain,
( spl0_89
| ~ spl0_12
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f325,f295,f73,f7455]) ).
fof(f7455,plain,
( spl0_89
<=> ! [X16,X14,X15] : meet(X16,join(X14,join(X15,X16))) = X16 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f325,plain,
( ! [X16,X14,X15] : meet(X16,join(X14,join(X15,X16))) = X16
| ~ spl0_12
| ~ spl0_21 ),
inference(superposition,[],[f296,f74]) ).
fof(f7453,plain,
( spl0_88
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f320,f295,f93,f7451]) ).
fof(f7451,plain,
( spl0_88
<=> ! [X4,X3] : meet(X4,X3) = meet(meet(X4,X3),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f320,plain,
( ! [X3,X4] : meet(X4,X3) = meet(meet(X4,X3),X3)
| ~ spl0_13
| ~ spl0_21 ),
inference(superposition,[],[f296,f94]) ).
fof(f7449,plain,
( spl0_87
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f302,f93,f69,f7447]) ).
fof(f7447,plain,
( spl0_87
<=> ! [X9,X8,X7] : join(X9,meet(X7,meet(X8,X9))) = X9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f302,plain,
( ! [X8,X9,X7] : join(X9,meet(X7,meet(X8,X9))) = X9
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f94,f70]) ).
fof(f6322,plain,
( spl0_86
| ~ spl0_4
| ~ spl0_20
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f1147,f1042,f253,f32,f6320]) ).
fof(f6320,plain,
( spl0_86
<=> ! [X6,X5] : n0 = f(meet(n0,X5),join(X6,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f1147,plain,
( ! [X6,X5] : n0 = f(meet(n0,X5),join(X6,n0))
| ~ spl0_4
| ~ spl0_20
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1132,f33]) ).
fof(f1132,plain,
( ! [X6,X5] : f(meet(n0,X5),join(X6,n0)) = f(n0,X6)
| ~ spl0_20
| ~ spl0_41 ),
inference(superposition,[],[f1043,f254]) ).
fof(f6192,plain,
( spl0_85
| ~ spl0_15
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f248,f239,f117,f6190]) ).
fof(f6190,plain,
( spl0_85
<=> ! [X1] : meet(f(cc,dd),join(f(bb,dd),X1)) = join(meet(f(aa,dd),f(bb,dd)),meet(f(cc,dd),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f239,plain,
( spl0_18
<=> meet(f(aa,dd),f(bb,dd)) = meet(f(cc,dd),f(bb,dd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f248,plain,
( ! [X1] : meet(f(cc,dd),join(f(bb,dd),X1)) = join(meet(f(aa,dd),f(bb,dd)),meet(f(cc,dd),X1))
| ~ spl0_15
| ~ spl0_18 ),
inference(superposition,[],[f118,f241]) ).
fof(f241,plain,
( meet(f(aa,dd),f(bb,dd)) = meet(f(cc,dd),f(bb,dd))
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f6188,plain,
( spl0_84
| ~ spl0_15
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f247,f239,f117,f6186]) ).
fof(f247,plain,
( ! [X0] : meet(f(cc,dd),join(X0,f(bb,dd))) = join(meet(f(cc,dd),X0),meet(f(aa,dd),f(bb,dd)))
| ~ spl0_15
| ~ spl0_18 ),
inference(superposition,[],[f118,f241]) ).
fof(f5432,plain,
( spl0_83
| ~ spl0_14
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f227,f187,f113,f5430]) ).
fof(f5430,plain,
( spl0_83
<=> ! [X10,X11,X9,X8] : join(f(X8,X9),meet(f(X8,X10),X11)) = meet(f(X8,join(X9,X10)),join(f(X8,X9),X11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f227,plain,
( ! [X10,X11,X8,X9] : join(f(X8,X9),meet(f(X8,X10),X11)) = meet(f(X8,join(X9,X10)),join(f(X8,X9),X11))
| ~ spl0_14
| ~ spl0_17 ),
inference(superposition,[],[f114,f188]) ).
fof(f5428,plain,
( spl0_82
| ~ spl0_14
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f226,f187,f113,f5426]) ).
fof(f5426,plain,
( spl0_82
<=> ! [X5,X4,X7,X6] : join(f(X4,X5),meet(X7,f(X4,X6))) = meet(join(f(X4,X5),X7),f(X4,join(X5,X6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f226,plain,
( ! [X6,X7,X4,X5] : join(f(X4,X5),meet(X7,f(X4,X6))) = meet(join(f(X4,X5),X7),f(X4,join(X5,X6)))
| ~ spl0_14
| ~ spl0_17 ),
inference(superposition,[],[f114,f188]) ).
fof(f5424,plain,
( spl0_81
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f201,f183,f113,f5422]) ).
fof(f5422,plain,
( spl0_81
<=> ! [X9,X7,X6,X8] : join(f(X6,X7),meet(f(X8,X7),X9)) = meet(f(join(X6,X8),X7),join(f(X6,X7),X9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f201,plain,
( ! [X8,X6,X9,X7] : join(f(X6,X7),meet(f(X8,X7),X9)) = meet(f(join(X6,X8),X7),join(f(X6,X7),X9))
| ~ spl0_14
| ~ spl0_16 ),
inference(superposition,[],[f114,f184]) ).
fof(f5420,plain,
( spl0_80
| ~ spl0_19
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f1052,f530,f244,f5418]) ).
fof(f5418,plain,
( spl0_80
<=> ! [X16,X15] : n0 = meet(f(X15,join(n0,X16)),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f1052,plain,
( ! [X16,X15] : n0 = meet(f(X15,join(n0,X16)),n0)
| ~ spl0_19
| ~ spl0_38 ),
inference(superposition,[],[f245,f531]) ).
fof(f5416,plain,
( spl0_79
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f200,f183,f113,f5414]) ).
fof(f5414,plain,
( spl0_79
<=> ! [X3,X4,X5,X2] : join(f(X2,X3),meet(X5,f(X4,X3))) = meet(join(f(X2,X3),X5),f(join(X2,X4),X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f200,plain,
( ! [X2,X3,X4,X5] : join(f(X2,X3),meet(X5,f(X4,X3))) = meet(join(f(X2,X3),X5),f(join(X2,X4),X3))
| ~ spl0_14
| ~ spl0_16 ),
inference(superposition,[],[f114,f184]) ).
fof(f5411,plain,
( spl0_78
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f163,f117,f113,f5409]) ).
fof(f5409,plain,
( spl0_78
<=> ! [X3,X4,X5,X2] : join(meet(X2,X3),meet(X5,meet(X2,X4))) = meet(join(meet(X2,X3),X5),meet(X2,join(X3,X4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f163,plain,
( ! [X2,X3,X4,X5] : join(meet(X2,X3),meet(X5,meet(X2,X4))) = meet(join(meet(X2,X3),X5),meet(X2,join(X3,X4)))
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f114,f118]) ).
fof(f5406,plain,
( spl0_77
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f158,f117,f113,f5404]) ).
fof(f5404,plain,
( spl0_77
<=> ! [X18,X17,X16,X15] : meet(join(X15,X16),join(X18,join(X15,X17))) = join(meet(join(X15,X16),X18),join(X15,meet(X16,X17))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f158,plain,
( ! [X18,X16,X17,X15] : meet(join(X15,X16),join(X18,join(X15,X17))) = join(meet(join(X15,X16),X18),join(X15,meet(X16,X17)))
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f118,f114]) ).
fof(f3787,plain,
( spl0_76
| ~ spl0_19
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f979,f516,f244,f3785]) ).
fof(f3785,plain,
( spl0_76
<=> ! [X32,X33,X31] : meet(join(X33,join(X31,X32)),X31) = X31 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f979,plain,
( ! [X31,X32,X33] : meet(join(X33,join(X31,X32)),X31) = X31
| ~ spl0_19
| ~ spl0_35 ),
inference(superposition,[],[f245,f517]) ).
fof(f3783,plain,
( spl0_75
| ~ spl0_11
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f251,f239,f69,f3781]) ).
fof(f3781,plain,
( spl0_75
<=> ! [X2] : meet(f(cc,dd),meet(f(bb,dd),X2)) = meet(f(aa,dd),meet(f(bb,dd),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f251,plain,
( ! [X2] : meet(f(cc,dd),meet(f(bb,dd),X2)) = meet(f(aa,dd),meet(f(bb,dd),X2))
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f249,f70]) ).
fof(f249,plain,
( ! [X2] : meet(f(cc,dd),meet(f(bb,dd),X2)) = meet(meet(f(aa,dd),f(bb,dd)),X2)
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f70,f241]) ).
fof(f3779,plain,
( spl0_74
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f219,f187,f64,f3777]) ).
fof(f3777,plain,
( spl0_74
<=> ! [X4] : f(join(cc,bb),join(X4,dd)) = join(f(join(cc,bb),X4),f(join(aa,bb),dd)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f219,plain,
( ! [X4] : f(join(cc,bb),join(X4,dd)) = join(f(join(cc,bb),X4),f(join(aa,bb),dd))
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f188,f66]) ).
fof(f3775,plain,
( spl0_73
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f216,f187,f64,f3773]) ).
fof(f3773,plain,
( spl0_73
<=> ! [X4] : f(join(cc,bb),join(dd,X4)) = join(f(join(aa,bb),dd),f(join(cc,bb),X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f216,plain,
( ! [X4] : f(join(cc,bb),join(dd,X4)) = join(f(join(aa,bb),dd),f(join(cc,bb),X4))
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f188,f66]) ).
fof(f3771,plain,
( spl0_72
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f181,f117,f113,f69,f3769]) ).
fof(f3769,plain,
( spl0_72
<=> ! [X9,X7,X6,X8] : meet(meet(X6,join(X7,X8)),join(meet(X6,X7),X9)) = meet(X6,join(X7,meet(X8,X9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f181,plain,
( ! [X8,X6,X9,X7] : meet(meet(X6,join(X7,X8)),join(meet(X6,X7),X9)) = meet(X6,join(X7,meet(X8,X9)))
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f180,f118]) ).
fof(f180,plain,
( ! [X8,X6,X9,X7] : meet(meet(X6,join(X7,X8)),join(meet(X6,X7),X9)) = join(meet(X6,X7),meet(X6,meet(X8,X9)))
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f164,f70]) ).
fof(f164,plain,
( ! [X8,X6,X9,X7] : join(meet(X6,X7),meet(meet(X6,X8),X9)) = meet(meet(X6,join(X7,X8)),join(meet(X6,X7),X9))
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f114,f118]) ).
fof(f3767,plain,
( spl0_71
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f175,f117,f113,f73,f3765]) ).
fof(f3765,plain,
( spl0_71
<=> ! [X18,X17,X16,X15] : join(join(X15,meet(X16,X17)),meet(join(X15,X16),X18)) = join(X15,meet(X16,join(X17,X18))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f175,plain,
( ! [X18,X16,X17,X15] : join(join(X15,meet(X16,X17)),meet(join(X15,X16),X18)) = join(X15,meet(X16,join(X17,X18)))
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f174,f114]) ).
fof(f174,plain,
( ! [X18,X16,X17,X15] : join(join(X15,meet(X16,X17)),meet(join(X15,X16),X18)) = meet(join(X15,X16),join(X15,join(X17,X18)))
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f152,f74]) ).
fof(f152,plain,
( ! [X18,X16,X17,X15] : meet(join(X15,X16),join(join(X15,X17),X18)) = join(join(X15,meet(X16,X17)),meet(join(X15,X16),X18))
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f118,f114]) ).
fof(f3763,plain,
( spl0_70
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f173,f117,f69,f3761]) ).
fof(f3761,plain,
( spl0_70
<=> ! [X11,X13,X14,X12] : join(meet(X11,meet(X12,X13)),meet(X11,meet(X12,X14))) = meet(X11,meet(X12,join(X13,X14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f173,plain,
( ! [X11,X14,X12,X13] : join(meet(X11,meet(X12,X13)),meet(X11,meet(X12,X14))) = meet(X11,meet(X12,join(X13,X14)))
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f172,f70]) ).
fof(f172,plain,
( ! [X11,X14,X12,X13] : meet(meet(X11,X12),join(X13,X14)) = join(meet(X11,meet(X12,X13)),meet(X11,meet(X12,X14)))
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f151,f70]) ).
fof(f151,plain,
( ! [X11,X14,X12,X13] : meet(meet(X11,X12),join(X13,X14)) = join(meet(X11,meet(X12,X13)),meet(meet(X11,X12),X14))
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f118,f70]) ).
fof(f3759,plain,
( spl0_69
| ~ spl0_12
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f142,f113,f73,f3757]) ).
fof(f3757,plain,
( spl0_69
<=> ! [X11,X13,X14,X12] : meet(join(X11,join(X12,X13)),join(X11,join(X12,X14))) = join(X11,join(X12,meet(X13,X14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f142,plain,
( ! [X11,X14,X12,X13] : meet(join(X11,join(X12,X13)),join(X11,join(X12,X14))) = join(X11,join(X12,meet(X13,X14)))
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f141,f74]) ).
fof(f141,plain,
( ! [X11,X14,X12,X13] : join(join(X11,X12),meet(X13,X14)) = meet(join(X11,join(X12,X13)),join(X11,join(X12,X14)))
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f124,f74]) ).
fof(f124,plain,
( ! [X11,X14,X12,X13] : join(join(X11,X12),meet(X13,X14)) = meet(join(X11,join(X12,X13)),join(join(X11,X12),X14))
| ~ spl0_12
| ~ spl0_14 ),
inference(superposition,[],[f114,f74]) ).
fof(f3501,plain,
( spl0_68
| ~ spl0_12
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f228,f187,f73,f3499]) ).
fof(f3499,plain,
( spl0_68
<=> ! [X13,X14,X12,X15] : join(f(X12,X13),join(f(X12,X14),X15)) = join(f(X12,join(X13,X14)),X15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f228,plain,
( ! [X14,X15,X12,X13] : join(f(X12,X13),join(f(X12,X14),X15)) = join(f(X12,join(X13,X14)),X15)
| ~ spl0_12
| ~ spl0_17 ),
inference(superposition,[],[f74,f188]) ).
fof(f3497,plain,
( spl0_67
| ~ spl0_20
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f724,f495,f253,f3495]) ).
fof(f3495,plain,
( spl0_67
<=> ! [X34,X36,X35] : join(meet(X35,meet(X36,X34)),X34) = X34 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f724,plain,
( ! [X36,X34,X35] : join(meet(X35,meet(X36,X34)),X34) = X34
| ~ spl0_20
| ~ spl0_30 ),
inference(superposition,[],[f254,f496]) ).
fof(f3493,plain,
( spl0_66
| ~ spl0_12
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f202,f183,f73,f3491]) ).
fof(f3491,plain,
( spl0_66
<=> ! [X10,X11,X13,X12] : join(f(X10,X11),join(f(X12,X11),X13)) = join(f(join(X10,X12),X11),X13) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f202,plain,
( ! [X10,X11,X12,X13] : join(f(X10,X11),join(f(X12,X11),X13)) = join(f(join(X10,X12),X11),X13)
| ~ spl0_12
| ~ spl0_16 ),
inference(superposition,[],[f74,f184]) ).
fof(f3036,plain,
( spl0_65
| ~ spl0_12
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f165,f117,f73,f3034]) ).
fof(f3034,plain,
( spl0_65
<=> ! [X10,X11,X13,X12] : join(meet(X10,X11),join(meet(X10,X12),X13)) = join(meet(X10,join(X11,X12)),X13) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f165,plain,
( ! [X10,X11,X12,X13] : join(meet(X10,X11),join(meet(X10,X12),X13)) = join(meet(X10,join(X11,X12)),X13)
| ~ spl0_12
| ~ spl0_15 ),
inference(superposition,[],[f74,f118]) ).
fof(f3032,plain,
( spl0_64
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f134,f113,f69,f3030]) ).
fof(f3030,plain,
( spl0_64
<=> ! [X3,X4,X5,X2] : meet(join(X2,X3),meet(join(X2,X4),X5)) = meet(join(X2,meet(X3,X4)),X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f134,plain,
( ! [X2,X3,X4,X5] : meet(join(X2,X3),meet(join(X2,X4),X5)) = meet(join(X2,meet(X3,X4)),X5)
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f70,f114]) ).
fof(f2873,plain,
( spl0_63
| ~ spl0_7
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f250,f239,f44,f2870]) ).
fof(f2870,plain,
( spl0_63
<=> f(cc,dd) = join(f(cc,dd),meet(f(aa,dd),f(bb,dd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f250,plain,
( f(cc,dd) = join(f(cc,dd),meet(f(aa,dd),f(bb,dd)))
| ~ spl0_7
| ~ spl0_18 ),
inference(superposition,[],[f45,f241]) ).
fof(f2868,plain,
( spl0_62
| ~ spl0_10
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f213,f183,f64,f2866]) ).
fof(f2866,plain,
( spl0_62
<=> ! [X4] : f(join(X4,join(cc,bb)),dd) = f(join(X4,join(aa,bb)),dd) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f213,plain,
( ! [X4] : f(join(X4,join(cc,bb)),dd) = f(join(X4,join(aa,bb)),dd)
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[],[f195,f184]) ).
fof(f195,plain,
( ! [X4] : f(join(X4,join(cc,bb)),dd) = join(f(X4,dd),f(join(aa,bb),dd))
| ~ spl0_10
| ~ spl0_16 ),
inference(superposition,[],[f184,f66]) ).
fof(f2864,plain,
( spl0_61
| ~ spl0_20
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f706,f495,f253,f2862]) ).
fof(f2862,plain,
( spl0_61
<=> ! [X34,X36,X35] : join(meet(X36,meet(X34,X35)),X34) = X34 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f706,plain,
( ! [X36,X34,X35] : join(meet(X36,meet(X34,X35)),X34) = X34
| ~ spl0_20
| ~ spl0_30 ),
inference(superposition,[],[f254,f496]) ).
fof(f2860,plain,
( spl0_60
| ~ spl0_10
| ~ spl0_12
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f210,f183,f73,f64,f2858]) ).
fof(f2858,plain,
( spl0_60
<=> ! [X4] : f(join(aa,join(bb,X4)),dd) = f(join(cc,join(bb,X4)),dd) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f210,plain,
( ! [X4] : f(join(aa,join(bb,X4)),dd) = f(join(cc,join(bb,X4)),dd)
| ~ spl0_10
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f209,f74]) ).
fof(f209,plain,
( ! [X4] : f(join(join(cc,bb),X4),dd) = f(join(aa,join(bb,X4)),dd)
| ~ spl0_10
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f208,f74]) ).
fof(f208,plain,
( ! [X4] : f(join(join(cc,bb),X4),dd) = f(join(join(aa,bb),X4),dd)
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[],[f192,f184]) ).
fof(f192,plain,
( ! [X4] : f(join(join(cc,bb),X4),dd) = join(f(join(aa,bb),dd),f(X4,dd))
| ~ spl0_10
| ~ spl0_16 ),
inference(superposition,[],[f184,f66]) ).
fof(f2301,plain,
( spl0_59
| ~ spl0_6
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f231,f187,f40,f2299]) ).
fof(f231,plain,
( ! [X24,X22,X23] : f(X22,X23) = meet(f(X22,X23),f(X22,join(X23,X24)))
| ~ spl0_6
| ~ spl0_17 ),
inference(superposition,[],[f41,f188]) ).
fof(f2297,plain,
( spl0_58
| ~ spl0_9
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f222,f187,f52,f2295]) ).
fof(f222,plain,
( ! [X8,X9,X7] : join(f(X7,X9),f(X7,X8)) = f(X7,join(X8,X9))
| ~ spl0_9
| ~ spl0_17 ),
inference(superposition,[],[f188,f53]) ).
fof(f2293,plain,
( spl0_57
| ~ spl0_6
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f205,f183,f40,f2291]) ).
fof(f205,plain,
( ! [X21,X22,X20] : f(X20,X21) = meet(f(X20,X21),f(join(X20,X22),X21))
| ~ spl0_6
| ~ spl0_16 ),
inference(superposition,[],[f41,f184]) ).
fof(f2289,plain,
( spl0_56
| ~ spl0_6
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f284,f253,f40,f2287]) ).
fof(f2287,plain,
( spl0_56
<=> ! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f284,plain,
( ! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0)
| ~ spl0_6
| ~ spl0_20 ),
inference(superposition,[],[f41,f254]) ).
fof(f2285,plain,
( spl0_55
| ~ spl0_9
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f197,f183,f52,f2283]) ).
fof(f197,plain,
( ! [X6,X7,X5] : join(f(X7,X6),f(X5,X6)) = f(join(X5,X7),X6)
| ~ spl0_9
| ~ spl0_16 ),
inference(superposition,[],[f184,f53]) ).
fof(f2281,plain,
( spl0_54
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f108,f73,f40,f2279]) ).
fof(f2279,plain,
( spl0_54
<=> ! [X9,X8,X10] : join(X8,X9) = meet(join(X8,X9),join(X8,join(X9,X10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f108,plain,
( ! [X10,X8,X9] : join(X8,X9) = meet(join(X8,X9),join(X8,join(X9,X10)))
| ~ spl0_6
| ~ spl0_12 ),
inference(superposition,[],[f41,f74]) ).
fof(f2276,plain,
( spl0_53
| ~ spl0_7
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f102,f73,f44,f2274]) ).
fof(f2274,plain,
( spl0_53
<=> ! [X6,X5,X7] : join(X5,X6) = join(X5,join(X6,meet(join(X5,X6),X7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f102,plain,
( ! [X6,X7,X5] : join(X5,X6) = join(X5,join(X6,meet(join(X5,X6),X7)))
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f74,f45]) ).
fof(f2272,plain,
( spl0_52
| ~ spl0_7
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f89,f69,f44,f2270]) ).
fof(f2270,plain,
( spl0_52
<=> ! [X13,X12,X11] : meet(X11,X12) = join(meet(X11,X12),meet(X11,meet(X12,X13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f89,plain,
( ! [X11,X12,X13] : meet(X11,X12) = join(meet(X11,X12),meet(X11,meet(X12,X13)))
| ~ spl0_7
| ~ spl0_11 ),
inference(superposition,[],[f45,f70]) ).
fof(f2267,plain,
( spl0_51
| ~ spl0_6
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f82,f69,f40,f2265]) ).
fof(f2265,plain,
( spl0_51
<=> ! [X6,X5,X7] : meet(X5,X6) = meet(X5,meet(X6,join(meet(X5,X6),X7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f82,plain,
( ! [X6,X7,X5] : meet(X5,X6) = meet(X5,meet(X6,join(meet(X5,X6),X7)))
| ~ spl0_6
| ~ spl0_11 ),
inference(superposition,[],[f70,f41]) ).
fof(f1580,plain,
( spl0_50
| ~ spl0_7
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f271,f244,f44,f1578]) ).
fof(f1578,plain,
( spl0_50
<=> ! [X13,X14] : join(X13,X14) = join(join(X13,X14),X13) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f271,plain,
( ! [X14,X13] : join(X13,X14) = join(join(X13,X14),X13)
| ~ spl0_7
| ~ spl0_19 ),
inference(superposition,[],[f45,f245]) ).
fof(f1244,plain,
( spl0_49
| ~ spl0_6
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f168,f117,f40,f1242]) ).
fof(f168,plain,
( ! [X21,X22,X20] : meet(X20,X21) = meet(meet(X20,X21),meet(X20,join(X21,X22)))
| ~ spl0_6
| ~ spl0_15 ),
inference(superposition,[],[f41,f118]) ).
fof(f1240,plain,
( spl0_48
| ~ spl0_9
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f160,f117,f52,f1238]) ).
fof(f160,plain,
( ! [X6,X7,X5] : meet(X5,join(X6,X7)) = join(meet(X5,X7),meet(X5,X6))
| ~ spl0_9
| ~ spl0_15 ),
inference(superposition,[],[f118,f53]) ).
fof(f1236,plain,
( spl0_47
| ~ spl0_8
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f155,f117,f48,f1234]) ).
fof(f155,plain,
( ! [X6,X7,X5] : meet(X5,join(X7,X6)) = join(meet(X5,X7),meet(X6,X5))
| ~ spl0_8
| ~ spl0_15 ),
inference(superposition,[],[f118,f49]) ).
fof(f1232,plain,
( spl0_46
| ~ spl0_8
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f149,f117,f48,f1230]) ).
fof(f149,plain,
( ! [X6,X7,X5] : meet(X5,join(X6,X7)) = join(meet(X6,X5),meet(X5,X7))
| ~ spl0_8
| ~ spl0_15 ),
inference(superposition,[],[f118,f49]) ).
fof(f1228,plain,
( spl0_45
| ~ spl0_7
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f137,f113,f44,f1226]) ).
fof(f137,plain,
( ! [X14,X12,X13] : join(X12,X13) = join(join(X12,X13),join(X12,meet(X13,X14)))
| ~ spl0_7
| ~ spl0_14 ),
inference(superposition,[],[f45,f114]) ).
fof(f1224,plain,
( spl0_44
| ~ spl0_8
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f131,f113,f48,f1222]) ).
fof(f131,plain,
( ! [X6,X7,X5] : join(X5,meet(X6,X7)) = meet(join(X5,X7),join(X5,X6))
| ~ spl0_8
| ~ spl0_14 ),
inference(superposition,[],[f114,f49]) ).
fof(f1220,plain,
( spl0_43
| ~ spl0_9
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f127,f113,f52,f1218]) ).
fof(f1166,plain,
( spl0_42
| ~ spl0_9
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f122,f113,f52,f1164]) ).
fof(f122,plain,
( ! [X6,X7,X5] : join(X5,meet(X6,X7)) = meet(join(X6,X5),join(X5,X7))
| ~ spl0_9
| ~ spl0_14 ),
inference(superposition,[],[f114,f53]) ).
fof(f1044,plain,
( spl0_41
| ~ spl0_5
| ~ spl0_17
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f528,f525,f187,f36,f1042]) ).
fof(f525,plain,
( spl0_37
<=> ! [X0,X1] : f(join(X1,n0),X0) = join(f(X1,X0),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f528,plain,
( ! [X0,X1] : f(join(X1,n0),X0) = f(X1,join(X0,n0))
| ~ spl0_5
| ~ spl0_17
| ~ spl0_37 ),
inference(forward_demodulation,[],[f526,f218]) ).
fof(f218,plain,
( ! [X2,X3] : f(X2,join(X3,n0)) = join(f(X2,X3),n0)
| ~ spl0_5
| ~ spl0_17 ),
inference(superposition,[],[f188,f37]) ).
fof(f526,plain,
( ! [X0,X1] : f(join(X1,n0),X0) = join(f(X1,X0),n0)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f1040,plain,
( spl0_40
| ~ spl0_5
| ~ spl0_17
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f523,f520,f187,f36,f1038]) ).
fof(f520,plain,
( spl0_36
<=> ! [X0,X1] : f(join(n0,X1),X0) = join(n0,f(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f523,plain,
( ! [X0,X1] : f(join(n0,X1),X0) = f(X1,join(n0,X0))
| ~ spl0_5
| ~ spl0_17
| ~ spl0_36 ),
inference(forward_demodulation,[],[f521,f215]) ).
fof(f215,plain,
( ! [X2,X3] : f(X2,join(n0,X3)) = join(n0,f(X2,X3))
| ~ spl0_5
| ~ spl0_17 ),
inference(superposition,[],[f188,f37]) ).
fof(f521,plain,
( ! [X0,X1] : f(join(n0,X1),X0) = join(n0,f(X1,X0))
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f536,plain,
( spl0_39
| ~ spl0_5
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f218,f187,f36,f534]) ).
fof(f532,plain,
( spl0_38
| ~ spl0_5
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f215,f187,f36,f530]) ).
fof(f527,plain,
( spl0_37
| ~ spl0_4
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f193,f183,f32,f525]) ).
fof(f193,plain,
( ! [X0,X1] : f(join(X1,n0),X0) = join(f(X1,X0),n0)
| ~ spl0_4
| ~ spl0_16 ),
inference(superposition,[],[f184,f33]) ).
fof(f522,plain,
( spl0_36
| ~ spl0_4
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f190,f183,f32,f520]) ).
fof(f190,plain,
( ! [X0,X1] : f(join(n0,X1),X0) = join(n0,f(X1,X0))
| ~ spl0_4
| ~ spl0_16 ),
inference(superposition,[],[f184,f33]) ).
fof(f518,plain,
( spl0_35
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f103,f73,f52,f516]) ).
fof(f103,plain,
( ! [X10,X8,X9] : join(X8,join(X9,X10)) = join(X10,join(X8,X9))
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f74,f53]) ).
fof(f513,plain,
( spl0_34
| ~ spl0_3
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f101,f73,f28,f511]) ).
fof(f511,plain,
( spl0_34
<=> ! [X4,X3] : join(X3,X4) = join(X3,join(X4,join(X3,X4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f101,plain,
( ! [X3,X4] : join(X3,X4) = join(X3,join(X4,join(X3,X4)))
| ~ spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f74,f29]) ).
fof(f509,plain,
( spl0_33
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f98,f73,f52,f507]) ).
fof(f98,plain,
( ! [X6,X7,X5] : join(X5,join(X6,X7)) = join(join(X6,X5),X7)
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f74,f53]) ).
fof(f505,plain,
( spl0_32
| ~ spl0_8
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f276,f253,f48,f503]) ).
fof(f276,plain,
( ! [X3,X4] : join(meet(X4,X3),X3) = X3
| ~ spl0_8
| ~ spl0_20 ),
inference(superposition,[],[f254,f49]) ).
fof(f501,plain,
( spl0_31
| ~ spl0_7
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f97,f73,f44,f499]) ).
fof(f97,plain,
( ! [X2,X3,X4] : join(X2,join(meet(X2,X3),X4)) = join(X2,X4)
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f74,f45]) ).
fof(f497,plain,
( spl0_30
| ~ spl0_8
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f83,f69,f48,f495]) ).
fof(f83,plain,
( ! [X10,X8,X9] : meet(X8,meet(X9,X10)) = meet(X10,meet(X8,X9))
| ~ spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f70,f49]) ).
fof(f492,plain,
( spl0_29
| ~ spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f81,f69,f24,f490]) ).
fof(f490,plain,
( spl0_29
<=> ! [X4,X3] : meet(X3,X4) = meet(X3,meet(X4,meet(X3,X4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f81,plain,
( ! [X3,X4] : meet(X3,X4) = meet(X3,meet(X4,meet(X3,X4)))
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f70,f25]) ).
fof(f488,plain,
( spl0_28
| ~ spl0_8
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f78,f69,f48,f486]) ).
fof(f78,plain,
( ! [X6,X7,X5] : meet(X5,meet(X6,X7)) = meet(meet(X6,X5),X7)
| ~ spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f70,f49]) ).
fof(f484,plain,
( spl0_27
| ~ spl0_6
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f77,f69,f40,f482]) ).
fof(f77,plain,
( ! [X2,X3,X4] : meet(X2,meet(join(X2,X3),X4)) = meet(X2,X4)
| ~ spl0_6
| ~ spl0_11 ),
inference(superposition,[],[f70,f41]) ).
fof(f427,plain,
( spl0_26
| ~ spl0_3
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f96,f73,f28,f425]) ).
fof(f96,plain,
( ! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1))
| ~ spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f74,f29]) ).
fof(f423,plain,
( spl0_25
| ~ spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f76,f69,f24,f421]) ).
fof(f76,plain,
( ! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1))
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f70,f25]) ).
fof(f384,plain,
( spl0_24
| ~ spl0_9
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f258,f244,f52,f382]) ).
fof(f258,plain,
( ! [X3,X4] : meet(join(X4,X3),X3) = X3
| ~ spl0_9
| ~ spl0_19 ),
inference(superposition,[],[f245,f53]) ).
fof(f348,plain,
( spl0_23
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f177,f117,f52,f40,f24,f346]) ).
fof(f177,plain,
( ! [X2,X3,X4] : meet(X2,join(X4,join(X2,X3))) = X2
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_demodulation,[],[f154,f176]) ).
fof(f176,plain,
( ! [X0,X1] : join(meet(X0,X1),X0) = X0
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_demodulation,[],[f153,f61]) ).
fof(f61,plain,
( ! [X2,X1] : meet(X1,join(X2,X1)) = X1
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f41,f53]) ).
fof(f153,plain,
( ! [X0,X1] : join(meet(X0,X1),X0) = meet(X0,join(X1,X0))
| ~ spl0_2
| ~ spl0_15 ),
inference(superposition,[],[f118,f25]) ).
fof(f154,plain,
( ! [X2,X3,X4] : meet(X2,join(X4,join(X2,X3))) = join(meet(X2,X4),X2)
| ~ spl0_6
| ~ spl0_15 ),
inference(superposition,[],[f118,f41]) ).
fof(f344,plain,
( spl0_22
| ~ spl0_3
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f144,f113,f93,f44,f28,f342]) ).
fof(f144,plain,
( ! [X2,X3,X4] : join(X2,meet(X4,meet(X2,X3))) = X2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f126,f143]) ).
fof(f143,plain,
( ! [X0,X1] : meet(join(X0,X1),X0) = X0
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f125,f94]) ).
fof(f125,plain,
( ! [X0,X1] : meet(join(X0,X1),X0) = join(X0,meet(X1,X0))
| ~ spl0_3
| ~ spl0_14 ),
inference(superposition,[],[f114,f29]) ).
fof(f126,plain,
( ! [X2,X3,X4] : join(X2,meet(X4,meet(X2,X3))) = meet(join(X2,X4),X2)
| ~ spl0_7
| ~ spl0_14 ),
inference(superposition,[],[f114,f45]) ).
fof(f297,plain,
( spl0_21
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f61,f52,f40,f295]) ).
fof(f255,plain,
( spl0_20
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f176,f117,f52,f40,f24,f253]) ).
fof(f246,plain,
( spl0_19
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f143,f113,f93,f28,f244]) ).
fof(f242,plain,
spl0_18,
inference(avatar_split_clause,[],[f16,f239]) ).
fof(f16,axiom,
meet(f(aa,dd),f(bb,dd)) = meet(f(cc,dd),f(bb,dd)),
file('/export/starexec/sandbox/tmp/tmp.lFI1SfLOnu/Vampire---4.8_6292',lhs2) ).
fof(f189,plain,
spl0_17,
inference(avatar_split_clause,[],[f13,f187]) ).
fof(f13,axiom,
! [X3,X4,X5] : f(X5,join(X3,X4)) = join(f(X5,X3),f(X5,X4)),
file('/export/starexec/sandbox/tmp/tmp.lFI1SfLOnu/Vampire---4.8_6292',f_on_right_join) ).
fof(f185,plain,
spl0_16,
inference(avatar_split_clause,[],[f11,f183]) ).
fof(f11,axiom,
! [X3,X4,X5] : f(join(X3,X4),X5) = join(f(X3,X5),f(X4,X5)),
file('/export/starexec/sandbox/tmp/tmp.lFI1SfLOnu/Vampire---4.8_6292',f_on_left_join) ).
fof(f119,plain,
spl0_15,
inference(avatar_split_clause,[],[f10,f117]) ).
fof(f10,axiom,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
file('/export/starexec/sandbox/tmp/tmp.lFI1SfLOnu/Vampire---4.8_6292',dist_meet) ).
fof(f115,plain,
spl0_14,
inference(avatar_split_clause,[],[f9,f113]) ).
fof(f9,axiom,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,X2)),
file('/export/starexec/sandbox/tmp/tmp.lFI1SfLOnu/Vampire---4.8_6292',dist_join) ).
fof(f95,plain,
( spl0_13
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f59,f48,f44,f93]) ).
fof(f59,plain,
( ! [X3,X4] : join(X3,meet(X4,X3)) = X3
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f45,f49]) ).
fof(f75,plain,
spl0_12,
inference(avatar_split_clause,[],[f8,f73]) ).
fof(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.lFI1SfLOnu/Vampire---4.8_6292',associativity_of_join) ).
fof(f71,plain,
spl0_11,
inference(avatar_split_clause,[],[f7,f69]) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.lFI1SfLOnu/Vampire---4.8_6292',associativity_of_meet) ).
fof(f67,plain,
spl0_10,
inference(avatar_split_clause,[],[f15,f64]) ).
fof(f15,axiom,
f(join(aa,bb),dd) = f(join(cc,bb),dd),
file('/export/starexec/sandbox/tmp/tmp.lFI1SfLOnu/Vampire---4.8_6292',lhs1) ).
fof(f54,plain,
spl0_9,
inference(avatar_split_clause,[],[f6,f52]) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.lFI1SfLOnu/Vampire---4.8_6292',commutativity_of_join) ).
fof(f50,plain,
spl0_8,
inference(avatar_split_clause,[],[f5,f48]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.lFI1SfLOnu/Vampire---4.8_6292',commutativity_of_meet) ).
fof(f46,plain,
spl0_7,
inference(avatar_split_clause,[],[f4,f44]) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/tmp/tmp.lFI1SfLOnu/Vampire---4.8_6292',absorption2) ).
fof(f42,plain,
spl0_6,
inference(avatar_split_clause,[],[f3,f40]) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/tmp/tmp.lFI1SfLOnu/Vampire---4.8_6292',absorption1) ).
fof(f38,plain,
spl0_5,
inference(avatar_split_clause,[],[f14,f36]) ).
fof(f14,axiom,
! [X5] : n0 = f(X5,n0),
file('/export/starexec/sandbox/tmp/tmp.lFI1SfLOnu/Vampire---4.8_6292',f_on_right_bottom) ).
fof(f34,plain,
spl0_4,
inference(avatar_split_clause,[],[f12,f32]) ).
fof(f12,axiom,
! [X5] : n0 = f(n0,X5),
file('/export/starexec/sandbox/tmp/tmp.lFI1SfLOnu/Vampire---4.8_6292',f_on_left_bottom) ).
fof(f30,plain,
spl0_3,
inference(avatar_split_clause,[],[f2,f28]) ).
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.lFI1SfLOnu/Vampire---4.8_6292',idempotence_of_join) ).
fof(f26,plain,
spl0_2,
inference(avatar_split_clause,[],[f1,f24]) ).
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.lFI1SfLOnu/Vampire---4.8_6292',idempotence_of_meet) ).
fof(f22,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f17,f19]) ).
fof(f17,axiom,
f(aa,dd) != f(cc,dd),
file('/export/starexec/sandbox/tmp/tmp.lFI1SfLOnu/Vampire---4.8_6292',rhs) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT038-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.35 % Computer : n014.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Aug 30 14:23:14 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.19/0.41 % (6403)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41 % (6404)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.19/0.41 % (6405)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.19/0.41 % (6406)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 Vampire---4 for (569ds/0Mi)
% 0.19/0.41 % (6407)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.19/0.41 % (6408)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 Vampire---4 for (531ds/0Mi)
% 0.19/0.41 % (6409)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 Vampire---4 for (522ds/0Mi)
% 0.19/0.41 TRYING [1]
% 0.19/0.42 TRYING [2]
% 0.19/0.42 % (6410)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 Vampire---4 for (497ds/0Mi)
% 0.19/0.42 TRYING [1]
% 0.19/0.42 TRYING [3]
% 0.19/0.42 TRYING [2]
% 0.19/0.43 TRYING [3]
% 0.19/0.43 TRYING [4]
% 0.19/0.46 TRYING [4]
% 0.19/0.53 TRYING [5]
% 3.36/0.89 TRYING [5]
% 5.01/1.12 TRYING [6]
% 5.47/1.24 % (6408)First to succeed.
% 5.47/1.25 % (6408)Refutation found. Thanks to Tanya!
% 5.47/1.25 % SZS status Unsatisfiable for Vampire---4
% 5.47/1.25 % SZS output start Proof for Vampire---4
% See solution above
% 5.47/1.25 % (6408)------------------------------
% 5.47/1.25 % (6408)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 5.47/1.25 % (6408)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 5.47/1.25 % (6408)Termination reason: Refutation
% 5.47/1.25
% 5.47/1.25 % (6408)Memory used [KB]: 47717
% 5.47/1.25 % (6408)Time elapsed: 0.832 s
% 5.47/1.25 % (6408)------------------------------
% 5.47/1.25 % (6408)------------------------------
% 5.47/1.25 % (6403)Success in time 0.898 s
% 5.47/1.26 % Vampire---4.8 exiting
%------------------------------------------------------------------------------