TSTP Solution File: MGT042-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT042-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.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 : Tue Apr 30 13:55:04 EDT 2024
% Result : Unsatisfiable 0.13s 0.36s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 168
% Syntax : Number of formulae : 586 ( 32 unt; 0 def)
% Number of atoms : 1968 ( 209 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2328 ( 946 ~;1241 |; 0 &)
% ( 141 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 149 ( 147 usr; 142 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 375 ( 375 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1723,plain,
$false,
inference(avatar_sat_refutation,[],[f47,f52,f57,f62,f67,f71,f75,f84,f89,f94,f98,f102,f106,f110,f114,f124,f125,f129,f133,f137,f152,f156,f161,f169,f173,f177,f184,f189,f193,f197,f206,f214,f223,f233,f240,f250,f257,f263,f272,f276,f290,f300,f304,f315,f319,f326,f330,f339,f344,f349,f354,f359,f364,f369,f374,f398,f402,f414,f423,f427,f431,f435,f439,f443,f471,f503,f518,f534,f540,f545,f559,f589,f594,f601,f603,f608,f618,f623,f627,f633,f635,f645,f663,f667,f671,f719,f723,f776,f780,f784,f815,f831,f835,f874,f883,f888,f890,f901,f913,f919,f921,f944,f982,f1031,f1037,f1045,f1048,f1062,f1076,f1085,f1087,f1089,f1091,f1126,f1162,f1167,f1181,f1190,f1196,f1200,f1208,f1209,f1234,f1249,f1250,f1259,f1272,f1273,f1274,f1275,f1276,f1307,f1312,f1327,f1331,f1354,f1355,f1366,f1370,f1374,f1378,f1382,f1386,f1391,f1397,f1403,f1404,f1412,f1416,f1420,f1424,f1428,f1432,f1437,f1442,f1447,f1448,f1452,f1456,f1460,f1464,f1470,f1474,f1507,f1567,f1609,f1610,f1613,f1644,f1677,f1679,f1702,f1718,f1722]) ).
fof(f1722,plain,
( spl0_100
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f1721,f1716,f1119]) ).
fof(f1119,plain,
( spl0_100
<=> capability(sk1,sk3) = capability(sk1,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f1716,plain,
( spl0_141
<=> ! [X0] :
( stock_of_knowledge(sk1,sk2) != stock_of_knowledge(sk1,X0)
| capability(sk1,sk3) = capability(sk1,X0)
| internal_friction(sk1,sk2) != internal_friction(sk1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f1721,plain,
( capability(sk1,sk3) = capability(sk1,sk2)
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f1720]) ).
fof(f1720,plain,
( capability(sk1,sk3) = capability(sk1,sk2)
| stock_of_knowledge(sk1,sk2) != stock_of_knowledge(sk1,sk2)
| ~ spl0_141 ),
inference(equality_resolution,[],[f1717]) ).
fof(f1717,plain,
( ! [X0] :
( internal_friction(sk1,sk2) != internal_friction(sk1,X0)
| capability(sk1,sk3) = capability(sk1,X0)
| stock_of_knowledge(sk1,sk2) != stock_of_knowledge(sk1,X0) )
| ~ spl0_141 ),
inference(avatar_component_clause,[],[f1716]) ).
fof(f1718,plain,
( ~ spl0_1
| spl0_141
| ~ spl0_26
| ~ spl0_35
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f1694,f237,f230,f175,f1716,f44]) ).
fof(f44,plain,
( spl0_1
<=> organization(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f175,plain,
( spl0_26
<=> ! [X2,X0,X1] :
( ~ organization(X0)
| internal_friction(X0,X1) != internal_friction(X0,X2)
| stock_of_knowledge(X0,X1) != stock_of_knowledge(X0,X2)
| capability(X0,X2) = capability(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f230,plain,
( spl0_35
<=> internal_friction(sk1,sk3) = internal_friction(sk1,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f237,plain,
( spl0_36
<=> stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f1694,plain,
( ! [X0] :
( stock_of_knowledge(sk1,sk2) != stock_of_knowledge(sk1,X0)
| internal_friction(sk1,sk2) != internal_friction(sk1,X0)
| ~ organization(sk1)
| capability(sk1,sk3) = capability(sk1,X0) )
| ~ spl0_26
| ~ spl0_35
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1686,f239]) ).
fof(f239,plain,
( stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f1686,plain,
( ! [X0] :
( internal_friction(sk1,sk2) != internal_friction(sk1,X0)
| ~ organization(sk1)
| stock_of_knowledge(sk1,sk3) != stock_of_knowledge(sk1,X0)
| capability(sk1,sk3) = capability(sk1,X0) )
| ~ spl0_26
| ~ spl0_35 ),
inference(superposition,[],[f176,f232]) ).
fof(f232,plain,
( internal_friction(sk1,sk3) = internal_friction(sk1,sk2)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f176,plain,
( ! [X2,X0,X1] :
( internal_friction(X0,X1) != internal_friction(X0,X2)
| ~ organization(X0)
| stock_of_knowledge(X0,X1) != stock_of_knowledge(X0,X2)
| capability(X0,X2) = capability(X0,X1) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f1702,plain,
( ~ spl0_140
| spl0_34
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f1680,f230,f226,f1699]) ).
fof(f1699,plain,
( spl0_140
<=> smaller(internal_friction(sk1,sk2),internal_friction(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f226,plain,
( spl0_34
<=> smaller(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f1680,plain,
( ~ smaller(internal_friction(sk1,sk2),internal_friction(sk1,sk2))
| spl0_34
| ~ spl0_35 ),
inference(forward_demodulation,[],[f227,f232]) ).
fof(f227,plain,
( ~ smaller(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| spl0_34 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f1679,plain,
( ~ spl0_6
| spl0_139 ),
inference(avatar_contradiction_clause,[],[f1678]) ).
fof(f1678,plain,
( $false
| ~ spl0_6
| spl0_139 ),
inference(resolution,[],[f1676,f70]) ).
fof(f70,plain,
( ! [X1] : smaller_or_equal(X1,X1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl0_6
<=> ! [X1] : smaller_or_equal(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1676,plain,
( ~ smaller_or_equal(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk2))
| spl0_139 ),
inference(avatar_component_clause,[],[f1674]) ).
fof(f1674,plain,
( spl0_139
<=> smaller_or_equal(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f1677,plain,
( spl0_55
| ~ spl0_1
| ~ spl0_139
| ~ spl0_25
| ~ spl0_36
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f1201,f351,f237,f171,f1674,f44,f366]) ).
fof(f366,plain,
( spl0_55
<=> smaller(capability(sk1,sk2),capability(sk1,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f171,plain,
( spl0_25
<=> ! [X2,X0,X1] :
( ~ organization(X0)
| ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
| smaller(capability(X0,X1),capability(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f351,plain,
( spl0_52
<=> greater(internal_friction(sk1,sk2),internal_friction(sk1,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f1201,plain,
( ~ smaller_or_equal(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk2))
| ~ organization(sk1)
| smaller(capability(sk1,sk2),capability(sk1,sk3))
| ~ spl0_25
| ~ spl0_36
| ~ spl0_52 ),
inference(forward_demodulation,[],[f382,f239]) ).
fof(f382,plain,
( ~ smaller_or_equal(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3))
| ~ organization(sk1)
| smaller(capability(sk1,sk2),capability(sk1,sk3))
| ~ spl0_25
| ~ spl0_52 ),
inference(resolution,[],[f353,f172]) ).
fof(f172,plain,
( ! [X2,X0,X1] :
( ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ organization(X0)
| smaller(capability(X0,X1),capability(X0,X2)) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f353,plain,
( greater(internal_friction(sk1,sk2),internal_friction(sk1,sk3))
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f1644,plain,
( spl0_55
| spl0_100
| ~ spl0_63
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f1534,f1401,f429,f1119,f366]) ).
fof(f429,plain,
( spl0_63
<=> ! [X0] :
( capability(sk1,sk2) = X0
| smaller(capability(sk1,sk2),X0)
| greater(capability(sk1,sk3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f1401,plain,
( spl0_122
<=> ! [X0] :
( smaller(capability(sk1,sk2),X0)
| capability(sk1,sk2) = X0
| ~ greater(X0,capability(sk1,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f1534,plain,
( capability(sk1,sk3) = capability(sk1,sk2)
| smaller(capability(sk1,sk2),capability(sk1,sk3))
| ~ spl0_63
| ~ spl0_122 ),
inference(duplicate_literal_removal,[],[f1528]) ).
fof(f1528,plain,
( capability(sk1,sk3) = capability(sk1,sk2)
| smaller(capability(sk1,sk2),capability(sk1,sk3))
| smaller(capability(sk1,sk2),capability(sk1,sk3))
| capability(sk1,sk3) = capability(sk1,sk2)
| ~ spl0_63
| ~ spl0_122 ),
inference(resolution,[],[f1402,f430]) ).
fof(f430,plain,
( ! [X0] :
( greater(capability(sk1,sk3),X0)
| smaller(capability(sk1,sk2),X0)
| capability(sk1,sk2) = X0 )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f1402,plain,
( ! [X0] :
( ~ greater(X0,capability(sk1,sk3))
| capability(sk1,sk2) = X0
| smaller(capability(sk1,sk2),X0) )
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f1401]) ).
fof(f1613,plain,
( ~ spl0_7
| spl0_138 ),
inference(avatar_contradiction_clause,[],[f1611]) ).
fof(f1611,plain,
( $false
| ~ spl0_7
| spl0_138 ),
inference(resolution,[],[f1608,f74]) ).
fof(f74,plain,
( ! [X1] : greater_or_equal(X1,X1)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl0_7
<=> ! [X1] : greater_or_equal(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1608,plain,
( ~ greater_or_equal(capability(sk1,sk2),capability(sk1,sk2))
| spl0_138 ),
inference(avatar_component_clause,[],[f1606]) ).
fof(f1606,plain,
( spl0_138
<=> greater_or_equal(capability(sk1,sk2),capability(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f1610,plain,
( spl0_109
| ~ spl0_54
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f1575,f1119,f361,f1304]) ).
fof(f1304,plain,
( spl0_109
<=> greater(capability(sk1,sk2),capability(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f361,plain,
( spl0_54
<=> greater(capability(sk1,sk2),capability(sk1,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f1575,plain,
( greater(capability(sk1,sk2),capability(sk1,sk2))
| ~ spl0_54
| ~ spl0_100 ),
inference(superposition,[],[f362,f1121]) ).
fof(f1121,plain,
( capability(sk1,sk3) = capability(sk1,sk2)
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f1119]) ).
fof(f362,plain,
( greater(capability(sk1,sk2),capability(sk1,sk3))
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f1609,plain,
( ~ spl0_138
| spl0_56
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f1130,f1119,f371,f1606]) ).
fof(f371,plain,
( spl0_56
<=> greater_or_equal(capability(sk1,sk3),capability(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f1130,plain,
( ~ greater_or_equal(capability(sk1,sk2),capability(sk1,sk2))
| spl0_56
| ~ spl0_100 ),
inference(superposition,[],[f372,f1121]) ).
fof(f372,plain,
( ~ greater_or_equal(capability(sk1,sk3),capability(sk1,sk2))
| spl0_56 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f1567,plain,
( spl0_100
| spl0_55
| spl0_109
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1506,f1368,f1304,f366,f1119]) ).
fof(f1368,plain,
( spl0_115
<=> ! [X0] :
( greater(X0,capability(sk1,sk2))
| smaller(X0,capability(sk1,sk3))
| capability(sk1,sk3) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f1506,plain,
( smaller(capability(sk1,sk2),capability(sk1,sk3))
| capability(sk1,sk3) = capability(sk1,sk2)
| spl0_109
| ~ spl0_115 ),
inference(resolution,[],[f1369,f1305]) ).
fof(f1305,plain,
( ~ greater(capability(sk1,sk2),capability(sk1,sk2))
| spl0_109 ),
inference(avatar_component_clause,[],[f1304]) ).
fof(f1369,plain,
( ! [X0] :
( greater(X0,capability(sk1,sk2))
| smaller(X0,capability(sk1,sk3))
| capability(sk1,sk3) = X0 )
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f1368]) ).
fof(f1507,plain,
( spl0_73
| spl0_72
| ~ spl0_17
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1233,f916,f122,f552,f556]) ).
fof(f556,plain,
( spl0_73
<=> smaller(position(sk1,sk3),position(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f552,plain,
( spl0_72
<=> position(sk1,sk3) = position(sk1,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f122,plain,
( spl0_17
<=> ! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| X0 = X1
| smaller(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f916,plain,
( spl0_97
<=> smaller_or_equal(position(sk1,sk3),position(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f1233,plain,
( position(sk1,sk3) = position(sk1,sk2)
| smaller(position(sk1,sk3),position(sk1,sk2))
| ~ spl0_17
| ~ spl0_97 ),
inference(resolution,[],[f918,f123]) ).
fof(f123,plain,
( ! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| X0 = X1
| smaller(X0,X1) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f918,plain,
( smaller_or_equal(position(sk1,sk3),position(sk1,sk2))
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f916]) ).
fof(f1474,plain,
( spl0_137
| ~ spl0_42
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f1262,f361,f288,f1472]) ).
fof(f1472,plain,
( spl0_137
<=> ! [X0] :
( capability(sk1,sk3) = X0
| smaller(capability(sk1,sk3),X0)
| greater(capability(sk1,sk2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f288,plain,
( spl0_42
<=> ! [X2,X0,X1] :
( smaller(X0,X1)
| X0 = X1
| ~ greater(X2,X0)
| greater(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f1262,plain,
( ! [X0] :
( capability(sk1,sk3) = X0
| smaller(capability(sk1,sk3),X0)
| greater(capability(sk1,sk2),X0) )
| ~ spl0_42
| ~ spl0_54 ),
inference(resolution,[],[f362,f289]) ).
fof(f289,plain,
( ! [X2,X0,X1] :
( ~ greater(X2,X0)
| X0 = X1
| smaller(X0,X1)
| greater(X2,X1) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f1470,plain,
( spl0_136
| ~ spl0_33
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f687,f665,f221,f1468]) ).
fof(f1468,plain,
( spl0_136
<=> ! [X0] :
( greater_or_equal(external_ties(sk1,sk3),X0)
| external_ties(sk1,sk3) = X0
| greater(X0,external_ties(sk1,sk2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f221,plain,
( spl0_33
<=> ! [X0] :
( ~ greater(X0,external_ties(sk1,sk3))
| greater(X0,external_ties(sk1,sk2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f665,plain,
( spl0_83
<=> ! [X0,X1] :
( X0 = X1
| greater_or_equal(X0,X1)
| greater(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f687,plain,
( ! [X0] :
( greater_or_equal(external_ties(sk1,sk3),X0)
| external_ties(sk1,sk3) = X0
| greater(X0,external_ties(sk1,sk2)) )
| ~ spl0_33
| ~ spl0_83 ),
inference(resolution,[],[f666,f222]) ).
fof(f222,plain,
( ! [X0] :
( ~ greater(X0,external_ties(sk1,sk3))
| greater(X0,external_ties(sk1,sk2)) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f666,plain,
( ! [X0,X1] :
( greater(X1,X0)
| greater_or_equal(X0,X1)
| X0 = X1 )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f1464,plain,
( spl0_135
| ~ spl0_38
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f686,f665,f255,f1462]) ).
fof(f1462,plain,
( spl0_135
<=> ! [X0] :
( greater_or_equal(stock_of_knowledge(sk1,sk3),X0)
| stock_of_knowledge(sk1,sk3) = X0
| greater(X0,stock_of_knowledge(sk1,sk2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f255,plain,
( spl0_38
<=> ! [X0] :
( ~ greater(X0,stock_of_knowledge(sk1,sk3))
| greater(X0,stock_of_knowledge(sk1,sk2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f686,plain,
( ! [X0] :
( greater_or_equal(stock_of_knowledge(sk1,sk3),X0)
| stock_of_knowledge(sk1,sk3) = X0
| greater(X0,stock_of_knowledge(sk1,sk2)) )
| ~ spl0_38
| ~ spl0_83 ),
inference(resolution,[],[f666,f256]) ).
fof(f256,plain,
( ! [X0] :
( ~ greater(X0,stock_of_knowledge(sk1,sk3))
| greater(X0,stock_of_knowledge(sk1,sk2)) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f1460,plain,
( spl0_134
| ~ spl0_57
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f685,f665,f396,f1458]) ).
fof(f1458,plain,
( spl0_134
<=> ! [X0] :
( greater_or_equal(position(sk1,sk3),X0)
| position(sk1,sk3) = X0
| greater(X0,position(sk1,sk2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f396,plain,
( spl0_57
<=> ! [X0] :
( ~ greater(X0,position(sk1,sk3))
| greater(X0,position(sk1,sk2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f685,plain,
( ! [X0] :
( greater_or_equal(position(sk1,sk3),X0)
| position(sk1,sk3) = X0
| greater(X0,position(sk1,sk2)) )
| ~ spl0_57
| ~ spl0_83 ),
inference(resolution,[],[f666,f397]) ).
fof(f397,plain,
( ! [X0] :
( ~ greater(X0,position(sk1,sk3))
| greater(X0,position(sk1,sk2)) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f1456,plain,
( spl0_133
| ~ spl0_13
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f498,f441,f100,f1454]) ).
fof(f1454,plain,
( spl0_133
<=> ! [X0] :
( smaller(external_ties(sk1,sk2),X0)
| external_ties(sk1,sk2) = X0
| greater_or_equal(external_ties(sk1,sk3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f100,plain,
( spl0_13
<=> ! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f441,plain,
( spl0_66
<=> ! [X0] :
( external_ties(sk1,sk2) = X0
| smaller(external_ties(sk1,sk2),X0)
| greater(external_ties(sk1,sk3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f498,plain,
( ! [X0] :
( smaller(external_ties(sk1,sk2),X0)
| external_ties(sk1,sk2) = X0
| greater_or_equal(external_ties(sk1,sk3),X0) )
| ~ spl0_13
| ~ spl0_66 ),
inference(resolution,[],[f442,f101]) ).
fof(f101,plain,
( ! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f442,plain,
( ! [X0] :
( greater(external_ties(sk1,sk3),X0)
| smaller(external_ties(sk1,sk2),X0)
| external_ties(sk1,sk2) = X0 )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f1452,plain,
( spl0_132
| ~ spl0_15
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f497,f441,f108,f1450]) ).
fof(f1450,plain,
( spl0_132
<=> ! [X0] :
( smaller(external_ties(sk1,sk2),X0)
| external_ties(sk1,sk2) = X0
| smaller(X0,external_ties(sk1,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f108,plain,
( spl0_15
<=> ! [X0,X1] :
( ~ greater(X0,X1)
| smaller(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f497,plain,
( ! [X0] :
( smaller(external_ties(sk1,sk2),X0)
| external_ties(sk1,sk2) = X0
| smaller(X0,external_ties(sk1,sk3)) )
| ~ spl0_15
| ~ spl0_66 ),
inference(resolution,[],[f442,f109]) ).
fof(f109,plain,
( ! [X0,X1] :
( ~ greater(X0,X1)
| smaller(X1,X0) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f1448,plain,
( spl0_55
| spl0_100
| ~ spl0_17
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f906,f880,f122,f1119,f366]) ).
fof(f880,plain,
( spl0_94
<=> smaller_or_equal(capability(sk1,sk2),capability(sk1,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f906,plain,
( capability(sk1,sk3) = capability(sk1,sk2)
| smaller(capability(sk1,sk2),capability(sk1,sk3))
| ~ spl0_17
| ~ spl0_94 ),
inference(resolution,[],[f882,f123]) ).
fof(f882,plain,
( smaller_or_equal(capability(sk1,sk2),capability(sk1,sk3))
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f880]) ).
fof(f1447,plain,
( spl0_131
| ~ spl0_16
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f496,f441,f112,f1445]) ).
fof(f1445,plain,
( spl0_131
<=> ! [X0] :
( smaller(external_ties(sk1,sk2),X0)
| external_ties(sk1,sk2) = X0
| ~ greater(X0,external_ties(sk1,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f112,plain,
( spl0_16
<=> ! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f496,plain,
( ! [X0] :
( smaller(external_ties(sk1,sk2),X0)
| external_ties(sk1,sk2) = X0
| ~ greater(X0,external_ties(sk1,sk3)) )
| ~ spl0_16
| ~ spl0_66 ),
inference(resolution,[],[f442,f113]) ).
fof(f113,plain,
( ! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f1442,plain,
( spl0_130
| ~ spl0_13
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f488,f437,f100,f1440]) ).
fof(f1440,plain,
( spl0_130
<=> ! [X0] :
( smaller(stock_of_knowledge(sk1,sk2),X0)
| stock_of_knowledge(sk1,sk2) = X0
| greater_or_equal(stock_of_knowledge(sk1,sk3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f437,plain,
( spl0_65
<=> ! [X0] :
( stock_of_knowledge(sk1,sk2) = X0
| smaller(stock_of_knowledge(sk1,sk2),X0)
| greater(stock_of_knowledge(sk1,sk3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f488,plain,
( ! [X0] :
( smaller(stock_of_knowledge(sk1,sk2),X0)
| stock_of_knowledge(sk1,sk2) = X0
| greater_or_equal(stock_of_knowledge(sk1,sk3),X0) )
| ~ spl0_13
| ~ spl0_65 ),
inference(resolution,[],[f438,f101]) ).
fof(f438,plain,
( ! [X0] :
( greater(stock_of_knowledge(sk1,sk3),X0)
| smaller(stock_of_knowledge(sk1,sk2),X0)
| stock_of_knowledge(sk1,sk2) = X0 )
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f1437,plain,
( spl0_129
| ~ spl0_15
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f487,f437,f108,f1435]) ).
fof(f1435,plain,
( spl0_129
<=> ! [X0] :
( smaller(stock_of_knowledge(sk1,sk2),X0)
| stock_of_knowledge(sk1,sk2) = X0
| smaller(X0,stock_of_knowledge(sk1,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f487,plain,
( ! [X0] :
( smaller(stock_of_knowledge(sk1,sk2),X0)
| stock_of_knowledge(sk1,sk2) = X0
| smaller(X0,stock_of_knowledge(sk1,sk3)) )
| ~ spl0_15
| ~ spl0_65 ),
inference(resolution,[],[f438,f109]) ).
fof(f1432,plain,
( spl0_128
| ~ spl0_16
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f486,f437,f112,f1430]) ).
fof(f1430,plain,
( spl0_128
<=> ! [X0] :
( smaller(stock_of_knowledge(sk1,sk2),X0)
| stock_of_knowledge(sk1,sk2) = X0
| ~ greater(X0,stock_of_knowledge(sk1,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f486,plain,
( ! [X0] :
( smaller(stock_of_knowledge(sk1,sk2),X0)
| stock_of_knowledge(sk1,sk2) = X0
| ~ greater(X0,stock_of_knowledge(sk1,sk3)) )
| ~ spl0_16
| ~ spl0_65 ),
inference(resolution,[],[f438,f113]) ).
fof(f1428,plain,
( spl0_127
| ~ spl0_13
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f477,f433,f100,f1426]) ).
fof(f1426,plain,
( spl0_127
<=> ! [X0] :
( smaller(position(sk1,sk2),X0)
| position(sk1,sk2) = X0
| greater_or_equal(position(sk1,sk3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f433,plain,
( spl0_64
<=> ! [X0] :
( position(sk1,sk2) = X0
| smaller(position(sk1,sk2),X0)
| greater(position(sk1,sk3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f477,plain,
( ! [X0] :
( smaller(position(sk1,sk2),X0)
| position(sk1,sk2) = X0
| greater_or_equal(position(sk1,sk3),X0) )
| ~ spl0_13
| ~ spl0_64 ),
inference(resolution,[],[f434,f101]) ).
fof(f434,plain,
( ! [X0] :
( greater(position(sk1,sk3),X0)
| smaller(position(sk1,sk2),X0)
| position(sk1,sk2) = X0 )
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f1424,plain,
( spl0_126
| ~ spl0_15
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f476,f433,f108,f1422]) ).
fof(f1422,plain,
( spl0_126
<=> ! [X0] :
( smaller(position(sk1,sk2),X0)
| position(sk1,sk2) = X0
| smaller(X0,position(sk1,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f476,plain,
( ! [X0] :
( smaller(position(sk1,sk2),X0)
| position(sk1,sk2) = X0
| smaller(X0,position(sk1,sk3)) )
| ~ spl0_15
| ~ spl0_64 ),
inference(resolution,[],[f434,f109]) ).
fof(f1420,plain,
( spl0_125
| ~ spl0_16
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f475,f433,f112,f1418]) ).
fof(f1418,plain,
( spl0_125
<=> ! [X0] :
( smaller(position(sk1,sk2),X0)
| position(sk1,sk2) = X0
| ~ greater(X0,position(sk1,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f475,plain,
( ! [X0] :
( smaller(position(sk1,sk2),X0)
| position(sk1,sk2) = X0
| ~ greater(X0,position(sk1,sk3)) )
| ~ spl0_16
| ~ spl0_64 ),
inference(resolution,[],[f434,f113]) ).
fof(f1416,plain,
( spl0_124
| ~ spl0_13
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f461,f429,f100,f1414]) ).
fof(f1414,plain,
( spl0_124
<=> ! [X0] :
( smaller(capability(sk1,sk2),X0)
| capability(sk1,sk2) = X0
| greater_or_equal(capability(sk1,sk3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f461,plain,
( ! [X0] :
( smaller(capability(sk1,sk2),X0)
| capability(sk1,sk2) = X0
| greater_or_equal(capability(sk1,sk3),X0) )
| ~ spl0_13
| ~ spl0_63 ),
inference(resolution,[],[f430,f101]) ).
fof(f1412,plain,
( spl0_123
| ~ spl0_15
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f460,f429,f108,f1410]) ).
fof(f1410,plain,
( spl0_123
<=> ! [X0] :
( smaller(capability(sk1,sk2),X0)
| capability(sk1,sk2) = X0
| smaller(X0,capability(sk1,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f460,plain,
( ! [X0] :
( smaller(capability(sk1,sk2),X0)
| capability(sk1,sk2) = X0
| smaller(X0,capability(sk1,sk3)) )
| ~ spl0_15
| ~ spl0_63 ),
inference(resolution,[],[f430,f109]) ).
fof(f1404,plain,
( ~ spl0_109
| ~ spl0_16
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1317,f1304,f112,f1304]) ).
fof(f1317,plain,
( ~ greater(capability(sk1,sk2),capability(sk1,sk2))
| ~ spl0_16
| ~ spl0_109 ),
inference(resolution,[],[f1306,f113]) ).
fof(f1306,plain,
( greater(capability(sk1,sk2),capability(sk1,sk2))
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f1304]) ).
fof(f1403,plain,
( spl0_122
| ~ spl0_16
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f459,f429,f112,f1401]) ).
fof(f459,plain,
( ! [X0] :
( smaller(capability(sk1,sk2),X0)
| capability(sk1,sk2) = X0
| ~ greater(X0,capability(sk1,sk3)) )
| ~ spl0_16
| ~ spl0_63 ),
inference(resolution,[],[f430,f113]) ).
fof(f1397,plain,
( spl0_121
| ~ spl0_13
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f454,f425,f100,f1395]) ).
fof(f1395,plain,
( spl0_121
<=> ! [X0] :
( smaller(X0,stock_of_knowledge(sk1,sk3))
| stock_of_knowledge(sk1,sk3) = X0
| greater_or_equal(X0,stock_of_knowledge(sk1,sk2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f425,plain,
( spl0_62
<=> ! [X0] :
( greater(X0,stock_of_knowledge(sk1,sk2))
| smaller(X0,stock_of_knowledge(sk1,sk3))
| stock_of_knowledge(sk1,sk3) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f454,plain,
( ! [X0] :
( smaller(X0,stock_of_knowledge(sk1,sk3))
| stock_of_knowledge(sk1,sk3) = X0
| greater_or_equal(X0,stock_of_knowledge(sk1,sk2)) )
| ~ spl0_13
| ~ spl0_62 ),
inference(resolution,[],[f426,f101]) ).
fof(f426,plain,
( ! [X0] :
( greater(X0,stock_of_knowledge(sk1,sk2))
| smaller(X0,stock_of_knowledge(sk1,sk3))
| stock_of_knowledge(sk1,sk3) = X0 )
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f1391,plain,
( spl0_120
| ~ spl0_15
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f453,f425,f108,f1389]) ).
fof(f1389,plain,
( spl0_120
<=> ! [X0] :
( smaller(X0,stock_of_knowledge(sk1,sk3))
| stock_of_knowledge(sk1,sk3) = X0
| smaller(stock_of_knowledge(sk1,sk2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f453,plain,
( ! [X0] :
( smaller(X0,stock_of_knowledge(sk1,sk3))
| stock_of_knowledge(sk1,sk3) = X0
| smaller(stock_of_knowledge(sk1,sk2),X0) )
| ~ spl0_15
| ~ spl0_62 ),
inference(resolution,[],[f426,f109]) ).
fof(f1386,plain,
( spl0_119
| ~ spl0_16
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f452,f425,f112,f1384]) ).
fof(f1384,plain,
( spl0_119
<=> ! [X0] :
( smaller(X0,stock_of_knowledge(sk1,sk3))
| stock_of_knowledge(sk1,sk3) = X0
| ~ greater(stock_of_knowledge(sk1,sk2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f452,plain,
( ! [X0] :
( smaller(X0,stock_of_knowledge(sk1,sk3))
| stock_of_knowledge(sk1,sk3) = X0
| ~ greater(stock_of_knowledge(sk1,sk2),X0) )
| ~ spl0_16
| ~ spl0_62 ),
inference(resolution,[],[f426,f113]) ).
fof(f1382,plain,
( spl0_118
| ~ spl0_13
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f448,f421,f100,f1380]) ).
fof(f1380,plain,
( spl0_118
<=> ! [X0] :
( smaller(X0,external_ties(sk1,sk3))
| external_ties(sk1,sk3) = X0
| greater_or_equal(X0,external_ties(sk1,sk2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f421,plain,
( spl0_61
<=> ! [X0] :
( greater(X0,external_ties(sk1,sk2))
| smaller(X0,external_ties(sk1,sk3))
| external_ties(sk1,sk3) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f448,plain,
( ! [X0] :
( smaller(X0,external_ties(sk1,sk3))
| external_ties(sk1,sk3) = X0
| greater_or_equal(X0,external_ties(sk1,sk2)) )
| ~ spl0_13
| ~ spl0_61 ),
inference(resolution,[],[f422,f101]) ).
fof(f422,plain,
( ! [X0] :
( greater(X0,external_ties(sk1,sk2))
| smaller(X0,external_ties(sk1,sk3))
| external_ties(sk1,sk3) = X0 )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f1378,plain,
( spl0_117
| ~ spl0_15
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f447,f421,f108,f1376]) ).
fof(f1376,plain,
( spl0_117
<=> ! [X0] :
( smaller(X0,external_ties(sk1,sk3))
| external_ties(sk1,sk3) = X0
| smaller(external_ties(sk1,sk2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f447,plain,
( ! [X0] :
( smaller(X0,external_ties(sk1,sk3))
| external_ties(sk1,sk3) = X0
| smaller(external_ties(sk1,sk2),X0) )
| ~ spl0_15
| ~ spl0_61 ),
inference(resolution,[],[f422,f109]) ).
fof(f1374,plain,
( spl0_116
| ~ spl0_16
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f446,f421,f112,f1372]) ).
fof(f1372,plain,
( spl0_116
<=> ! [X0] :
( smaller(X0,external_ties(sk1,sk3))
| external_ties(sk1,sk3) = X0
| ~ greater(external_ties(sk1,sk2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f446,plain,
( ! [X0] :
( smaller(X0,external_ties(sk1,sk3))
| external_ties(sk1,sk3) = X0
| ~ greater(external_ties(sk1,sk2),X0) )
| ~ spl0_16
| ~ spl0_61 ),
inference(resolution,[],[f422,f113]) ).
fof(f1370,plain,
( spl0_115
| ~ spl0_20
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f405,f400,f135,f1368]) ).
fof(f135,plain,
( spl0_20
<=> ! [X0,X1] :
( X0 = X1
| smaller(X0,X1)
| greater(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f400,plain,
( spl0_58
<=> ! [X0] :
( ~ greater(X0,capability(sk1,sk3))
| greater(X0,capability(sk1,sk2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f405,plain,
( ! [X0] :
( greater(X0,capability(sk1,sk2))
| smaller(X0,capability(sk1,sk3))
| capability(sk1,sk3) = X0 )
| ~ spl0_20
| ~ spl0_58 ),
inference(resolution,[],[f401,f136]) ).
fof(f136,plain,
( ! [X0,X1] :
( greater(X0,X1)
| smaller(X0,X1)
| X0 = X1 )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f401,plain,
( ! [X0] :
( ~ greater(X0,capability(sk1,sk3))
| greater(X0,capability(sk1,sk2)) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f1366,plain,
( spl0_114
| ~ spl0_20
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f403,f396,f135,f1364]) ).
fof(f1364,plain,
( spl0_114
<=> ! [X0] :
( greater(X0,position(sk1,sk2))
| smaller(X0,position(sk1,sk3))
| position(sk1,sk3) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f403,plain,
( ! [X0] :
( greater(X0,position(sk1,sk2))
| smaller(X0,position(sk1,sk3))
| position(sk1,sk3) = X0 )
| ~ spl0_20
| ~ spl0_57 ),
inference(resolution,[],[f397,f136]) ).
fof(f1355,plain,
( ~ spl0_107
| ~ spl0_16
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1298,f1246,f112,f1246]) ).
fof(f1246,plain,
( spl0_107
<=> greater(position(sk1,sk3),position(sk1,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f1298,plain,
( ~ greater(position(sk1,sk3),position(sk1,sk3))
| ~ spl0_16
| ~ spl0_107 ),
inference(resolution,[],[f1248,f113]) ).
fof(f1248,plain,
( greater(position(sk1,sk3),position(sk1,sk3))
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f1246]) ).
fof(f1354,plain,
( spl0_113
| ~ spl0_42
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f383,f351,f288,f1352]) ).
fof(f1352,plain,
( spl0_113
<=> ! [X0] :
( internal_friction(sk1,sk3) = X0
| smaller(internal_friction(sk1,sk3),X0)
| greater(internal_friction(sk1,sk2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f383,plain,
( ! [X0] :
( internal_friction(sk1,sk3) = X0
| smaller(internal_friction(sk1,sk3),X0)
| greater(internal_friction(sk1,sk2),X0) )
| ~ spl0_42
| ~ spl0_52 ),
inference(resolution,[],[f353,f289]) ).
fof(f1331,plain,
( spl0_112
| ~ spl0_19
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f1263,f361,f131,f1329]) ).
fof(f1329,plain,
( spl0_112
<=> ! [X0] :
( ~ greater(X0,capability(sk1,sk2))
| greater(X0,capability(sk1,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f131,plain,
( spl0_19
<=> ! [X2,X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X2)
| greater(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1263,plain,
( ! [X0] :
( ~ greater(X0,capability(sk1,sk2))
| greater(X0,capability(sk1,sk3)) )
| ~ spl0_19
| ~ spl0_54 ),
inference(resolution,[],[f362,f132]) ).
fof(f132,plain,
( ! [X2,X0,X1] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f1327,plain,
( spl0_111
| ~ spl0_19
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f384,f351,f131,f1325]) ).
fof(f1325,plain,
( spl0_111
<=> ! [X0] :
( ~ greater(X0,internal_friction(sk1,sk2))
| greater(X0,internal_friction(sk1,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f384,plain,
( ! [X0] :
( ~ greater(X0,internal_friction(sk1,sk2))
| greater(X0,internal_friction(sk1,sk3)) )
| ~ spl0_19
| ~ spl0_52 ),
inference(resolution,[],[f353,f132]) ).
fof(f1312,plain,
( spl0_110
| ~ spl0_13
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f1266,f361,f100,f1309]) ).
fof(f1309,plain,
( spl0_110
<=> greater_or_equal(capability(sk1,sk2),capability(sk1,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f1266,plain,
( greater_or_equal(capability(sk1,sk2),capability(sk1,sk3))
| ~ spl0_13
| ~ spl0_54 ),
inference(resolution,[],[f362,f101]) ).
fof(f1307,plain,
( spl0_109
| ~ spl0_54
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f1261,f400,f361,f1304]) ).
fof(f1261,plain,
( greater(capability(sk1,sk2),capability(sk1,sk2))
| ~ spl0_54
| ~ spl0_58 ),
inference(resolution,[],[f362,f401]) ).
fof(f1276,plain,
( ~ spl0_70
| ~ spl0_16
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f1242,f537,f112,f537]) ).
fof(f537,plain,
( spl0_70
<=> greater(external_ties(sk1,sk2),external_ties(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f1242,plain,
( ~ greater(external_ties(sk1,sk2),external_ties(sk1,sk2))
| ~ spl0_16
| ~ spl0_70 ),
inference(resolution,[],[f538,f113]) ).
fof(f538,plain,
( greater(external_ties(sk1,sk2),external_ties(sk1,sk2))
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f1275,plain,
( spl0_96
| ~ spl0_70
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f1238,f606,f537,f898]) ).
fof(f898,plain,
( spl0_96
<=> greater(position(sk1,sk2),position(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f606,plain,
( spl0_77
<=> ! [X0] :
( greater(position(sk1,X0),position(sk1,sk2))
| ~ greater(external_ties(sk1,X0),external_ties(sk1,sk2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f1238,plain,
( greater(position(sk1,sk2),position(sk1,sk2))
| ~ spl0_70
| ~ spl0_77 ),
inference(resolution,[],[f538,f607]) ).
fof(f607,plain,
( ! [X0] :
( ~ greater(external_ties(sk1,X0),external_ties(sk1,sk2))
| greater(position(sk1,X0),position(sk1,sk2)) )
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f1274,plain,
( spl0_49
| ~ spl0_70
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f1237,f599,f537,f336]) ).
fof(f336,plain,
( spl0_49
<=> greater(position(sk1,sk2),position(sk1,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f599,plain,
( spl0_76
<=> ! [X0] :
( ~ greater(external_ties(sk1,X0),external_ties(sk1,sk2))
| greater(position(sk1,X0),position(sk1,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f1237,plain,
( greater(position(sk1,sk2),position(sk1,sk3))
| ~ spl0_70
| ~ spl0_76 ),
inference(resolution,[],[f538,f600]) ).
fof(f600,plain,
( ! [X0] :
( ~ greater(external_ties(sk1,X0),external_ties(sk1,sk2))
| greater(position(sk1,X0),position(sk1,sk3)) )
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f1273,plain,
( spl0_96
| ~ spl0_70
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1236,f621,f537,f898]) ).
fof(f621,plain,
( spl0_79
<=> ! [X0] :
( greater(position(sk1,sk2),position(sk1,X0))
| ~ greater(external_ties(sk1,sk2),external_ties(sk1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f1236,plain,
( greater(position(sk1,sk2),position(sk1,sk2))
| ~ spl0_70
| ~ spl0_79 ),
inference(resolution,[],[f538,f622]) ).
fof(f622,plain,
( ! [X0] :
( ~ greater(external_ties(sk1,sk2),external_ties(sk1,X0))
| greater(position(sk1,sk2),position(sk1,X0)) )
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f1272,plain,
( spl0_108
| ~ spl0_12
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f1169,f1123,f96,f1269]) ).
fof(f1269,plain,
( spl0_108
<=> smaller_or_equal(capability(sk1,sk3),capability(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f96,plain,
( spl0_12
<=> ! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1123,plain,
( spl0_101
<=> smaller(capability(sk1,sk3),capability(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f1169,plain,
( smaller_or_equal(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_12
| ~ spl0_101 ),
inference(resolution,[],[f1125,f97]) ).
fof(f97,plain,
( ! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f1125,plain,
( smaller(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f1259,plain,
( spl0_54
| ~ spl0_14
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f1168,f1123,f104,f361]) ).
fof(f104,plain,
( spl0_14
<=> ! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1168,plain,
( greater(capability(sk1,sk2),capability(sk1,sk3))
| ~ spl0_14
| ~ spl0_101 ),
inference(resolution,[],[f1125,f105]) ).
fof(f105,plain,
( ! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f1250,plain,
( spl0_32
| ~ spl0_10
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f1052,f606,f86,f211]) ).
fof(f211,plain,
( spl0_32
<=> greater(position(sk1,sk3),position(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f86,plain,
( spl0_10
<=> greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1052,plain,
( greater(position(sk1,sk3),position(sk1,sk2))
| ~ spl0_10
| ~ spl0_77 ),
inference(resolution,[],[f88,f607]) ).
fof(f88,plain,
( greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f1249,plain,
( spl0_107
| ~ spl0_10
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f1051,f599,f86,f1246]) ).
fof(f1051,plain,
( greater(position(sk1,sk3),position(sk1,sk3))
| ~ spl0_10
| ~ spl0_76 ),
inference(resolution,[],[f88,f600]) ).
fof(f1234,plain,
( spl0_70
| ~ spl0_14
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f1046,f542,f104,f537]) ).
fof(f542,plain,
( spl0_71
<=> smaller(external_ties(sk1,sk2),external_ties(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f1046,plain,
( greater(external_ties(sk1,sk2),external_ties(sk1,sk2))
| ~ spl0_14
| ~ spl0_71 ),
inference(resolution,[],[f543,f105]) ).
fof(f543,plain,
( smaller(external_ties(sk1,sk2),external_ties(sk1,sk2))
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f1209,plain,
( spl0_81
| ~ spl0_50
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f562,f552,f341,f642]) ).
fof(f642,plain,
( spl0_81
<=> smaller(position(sk1,sk2),position(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f341,plain,
( spl0_50
<=> smaller(position(sk1,sk2),position(sk1,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f562,plain,
( smaller(position(sk1,sk2),position(sk1,sk2))
| ~ spl0_50
| ~ spl0_72 ),
inference(superposition,[],[f343,f554]) ).
fof(f554,plain,
( position(sk1,sk3) = position(sk1,sk2)
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f343,plain,
( smaller(position(sk1,sk2),position(sk1,sk3))
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f1208,plain,
( ~ spl0_96
| spl0_49
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f561,f552,f336,f898]) ).
fof(f561,plain,
( ~ greater(position(sk1,sk2),position(sk1,sk2))
| spl0_49
| ~ spl0_72 ),
inference(superposition,[],[f338,f554]) ).
fof(f338,plain,
( ~ greater(position(sk1,sk2),position(sk1,sk3))
| spl0_49 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f1200,plain,
( spl0_39
| ~ spl0_14
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f391,f366,f104,f260]) ).
fof(f260,plain,
( spl0_39
<=> greater(capability(sk1,sk3),capability(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f391,plain,
( greater(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_14
| ~ spl0_55 ),
inference(resolution,[],[f368,f105]) ).
fof(f368,plain,
( smaller(capability(sk1,sk2),capability(sk1,sk3))
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f1196,plain,
( ~ spl0_1
| spl0_106
| ~ spl0_36
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f995,f317,f237,f1194,f44]) ).
fof(f1194,plain,
( spl0_106
<=> ! [X0] :
( ~ smaller_or_equal(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,X0))
| internal_friction(sk1,sk3) = internal_friction(sk1,X0)
| smaller(internal_friction(sk1,sk3),internal_friction(sk1,X0))
| smaller(capability(sk1,sk3),capability(sk1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f317,plain,
( spl0_46
<=> ! [X2,X0,X1] :
( ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ organization(X0)
| smaller(capability(X0,X1),capability(X0,X2))
| smaller(internal_friction(X0,X1),internal_friction(X0,X2))
| internal_friction(X0,X1) = internal_friction(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f995,plain,
( ! [X0] :
( ~ smaller_or_equal(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,X0))
| ~ organization(sk1)
| smaller(capability(sk1,sk3),capability(sk1,X0))
| smaller(internal_friction(sk1,sk3),internal_friction(sk1,X0))
| internal_friction(sk1,sk3) = internal_friction(sk1,X0) )
| ~ spl0_36
| ~ spl0_46 ),
inference(superposition,[],[f318,f239]) ).
fof(f318,plain,
( ! [X2,X0,X1] :
( ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ organization(X0)
| smaller(capability(X0,X1),capability(X0,X2))
| smaller(internal_friction(X0,X1),internal_friction(X0,X2))
| internal_friction(X0,X1) = internal_friction(X0,X2) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f1190,plain,
( ~ spl0_1
| spl0_105
| ~ spl0_36
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f994,f317,f237,f1188,f44]) ).
fof(f1188,plain,
( spl0_105
<=> ! [X0] :
( ~ smaller_or_equal(stock_of_knowledge(sk1,X0),stock_of_knowledge(sk1,sk2))
| internal_friction(sk1,sk3) = internal_friction(sk1,X0)
| smaller(internal_friction(sk1,X0),internal_friction(sk1,sk3))
| smaller(capability(sk1,X0),capability(sk1,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f994,plain,
( ! [X0] :
( ~ smaller_or_equal(stock_of_knowledge(sk1,X0),stock_of_knowledge(sk1,sk2))
| ~ organization(sk1)
| smaller(capability(sk1,X0),capability(sk1,sk3))
| smaller(internal_friction(sk1,X0),internal_friction(sk1,sk3))
| internal_friction(sk1,sk3) = internal_friction(sk1,X0) )
| ~ spl0_36
| ~ spl0_46 ),
inference(superposition,[],[f318,f239]) ).
fof(f1181,plain,
( ~ spl0_1
| spl0_104
| ~ spl0_24
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f997,f237,f167,f1179,f44]) ).
fof(f1179,plain,
( spl0_104
<=> ! [X0] :
( ~ greater(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,X0))
| greater(capability(sk1,sk3),capability(sk1,X0))
| ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f167,plain,
( spl0_24
<=> ! [X2,X0,X1] :
( ~ organization(X0)
| ~ smaller_or_equal(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| greater(capability(X0,X1),capability(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f997,plain,
( ! [X0] :
( ~ greater(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,X0))
| ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,X0))
| ~ organization(sk1)
| greater(capability(sk1,sk3),capability(sk1,X0)) )
| ~ spl0_24
| ~ spl0_36 ),
inference(superposition,[],[f168,f239]) ).
fof(f168,plain,
( ! [X2,X0,X1] :
( ~ greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ smaller_or_equal(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ organization(X0)
| greater(capability(X0,X1),capability(X0,X2)) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f1167,plain,
( spl0_103
| ~ spl0_100
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f1163,f1160,f1119,f1165]) ).
fof(f1165,plain,
( spl0_103
<=> ! [X0] :
( greater(capability(sk1,X0),capability(sk1,sk2))
| ~ greater(stock_of_knowledge(sk1,X0),stock_of_knowledge(sk1,sk2))
| ~ smaller_or_equal(internal_friction(sk1,X0),internal_friction(sk1,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f1160,plain,
( spl0_102
<=> ! [X0] :
( ~ greater(stock_of_knowledge(sk1,X0),stock_of_knowledge(sk1,sk2))
| greater(capability(sk1,X0),capability(sk1,sk3))
| ~ smaller_or_equal(internal_friction(sk1,X0),internal_friction(sk1,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f1163,plain,
( ! [X0] :
( greater(capability(sk1,X0),capability(sk1,sk2))
| ~ greater(stock_of_knowledge(sk1,X0),stock_of_knowledge(sk1,sk2))
| ~ smaller_or_equal(internal_friction(sk1,X0),internal_friction(sk1,sk3)) )
| ~ spl0_100
| ~ spl0_102 ),
inference(forward_demodulation,[],[f1161,f1121]) ).
fof(f1161,plain,
( ! [X0] :
( ~ greater(stock_of_knowledge(sk1,X0),stock_of_knowledge(sk1,sk2))
| greater(capability(sk1,X0),capability(sk1,sk3))
| ~ smaller_or_equal(internal_friction(sk1,X0),internal_friction(sk1,sk3)) )
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f1160]) ).
fof(f1162,plain,
( ~ spl0_1
| spl0_102
| ~ spl0_24
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f996,f237,f167,f1160,f44]) ).
fof(f996,plain,
( ! [X0] :
( ~ greater(stock_of_knowledge(sk1,X0),stock_of_knowledge(sk1,sk2))
| ~ smaller_or_equal(internal_friction(sk1,X0),internal_friction(sk1,sk3))
| ~ organization(sk1)
| greater(capability(sk1,X0),capability(sk1,sk3)) )
| ~ spl0_24
| ~ spl0_36 ),
inference(superposition,[],[f168,f239]) ).
fof(f1126,plain,
( spl0_100
| spl0_101
| ~ spl0_20
| spl0_39 ),
inference(avatar_split_clause,[],[f1001,f260,f135,f1123,f1119]) ).
fof(f1001,plain,
( smaller(capability(sk1,sk3),capability(sk1,sk2))
| capability(sk1,sk3) = capability(sk1,sk2)
| ~ spl0_20
| spl0_39 ),
inference(resolution,[],[f261,f136]) ).
fof(f261,plain,
( ~ greater(capability(sk1,sk3),capability(sk1,sk2))
| spl0_39 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f1091,plain,
( spl0_51
| ~ spl0_13
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f219,f211,f100,f346]) ).
fof(f346,plain,
( spl0_51
<=> greater_or_equal(position(sk1,sk3),position(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f219,plain,
( greater_or_equal(position(sk1,sk3),position(sk1,sk2))
| ~ spl0_13
| ~ spl0_32 ),
inference(resolution,[],[f213,f101]) ).
fof(f213,plain,
( greater(position(sk1,sk3),position(sk1,sk2))
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f1089,plain,
( spl0_50
| ~ spl0_15
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f218,f211,f108,f341]) ).
fof(f218,plain,
( smaller(position(sk1,sk2),position(sk1,sk3))
| ~ spl0_15
| ~ spl0_32 ),
inference(resolution,[],[f213,f109]) ).
fof(f1087,plain,
( ~ spl0_49
| ~ spl0_16
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f217,f211,f112,f336]) ).
fof(f217,plain,
( ~ greater(position(sk1,sk2),position(sk1,sk3))
| ~ spl0_16
| ~ spl0_32 ),
inference(resolution,[],[f213,f113]) ).
fof(f1085,plain,
( spl0_81
| ~ spl0_15
| ~ spl0_32
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f969,f587,f211,f108,f642]) ).
fof(f587,plain,
( spl0_74
<=> ! [X0] :
( external_ties(sk1,sk2) != external_ties(sk1,X0)
| position(sk1,sk3) = position(sk1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f969,plain,
( smaller(position(sk1,sk2),position(sk1,sk2))
| ~ spl0_15
| ~ spl0_32
| ~ spl0_74 ),
inference(forward_demodulation,[],[f218,f896]) ).
fof(f896,plain,
( position(sk1,sk3) = position(sk1,sk2)
| ~ spl0_74 ),
inference(equality_resolution,[],[f588]) ).
fof(f588,plain,
( ! [X0] :
( external_ties(sk1,sk2) != external_ties(sk1,X0)
| position(sk1,sk3) = position(sk1,X0) )
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f1076,plain,
( ~ spl0_81
| spl0_73
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f947,f587,f556,f642]) ).
fof(f947,plain,
( ~ smaller(position(sk1,sk2),position(sk1,sk2))
| spl0_73
| ~ spl0_74 ),
inference(forward_demodulation,[],[f557,f896]) ).
fof(f557,plain,
( ~ smaller(position(sk1,sk3),position(sk1,sk2))
| spl0_73 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f1062,plain,
( spl0_28
| ~ spl0_10
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f118,f108,f86,f186]) ).
fof(f186,plain,
( spl0_28
<=> smaller(external_ties(sk1,sk2),external_ties(sk1,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f118,plain,
( smaller(external_ties(sk1,sk2),external_ties(sk1,sk3))
| ~ spl0_10
| ~ spl0_15 ),
inference(resolution,[],[f109,f88]) ).
fof(f1048,plain,
( spl0_31
| ~ spl0_14
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f932,f515,f104,f203]) ).
fof(f203,plain,
( spl0_31
<=> greater(external_ties(sk1,sk2),external_ties(sk1,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f515,plain,
( spl0_69
<=> smaller(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f932,plain,
( greater(external_ties(sk1,sk2),external_ties(sk1,sk3))
| ~ spl0_14
| ~ spl0_69 ),
inference(resolution,[],[f517,f105]) ).
fof(f517,plain,
( smaller(external_ties(sk1,sk3),external_ties(sk1,sk2))
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f1045,plain,
( spl0_71
| ~ spl0_28
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f521,f511,f186,f542]) ).
fof(f511,plain,
( spl0_68
<=> external_ties(sk1,sk3) = external_ties(sk1,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f521,plain,
( smaller(external_ties(sk1,sk2),external_ties(sk1,sk2))
| ~ spl0_28
| ~ spl0_68 ),
inference(superposition,[],[f188,f513]) ).
fof(f513,plain,
( external_ties(sk1,sk3) = external_ties(sk1,sk2)
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f188,plain,
( smaller(external_ties(sk1,sk2),external_ties(sk1,sk3))
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f1037,plain,
( ~ spl0_99
| spl0_23
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f1032,f237,f158,f1034]) ).
fof(f1034,plain,
( spl0_99
<=> smaller(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f158,plain,
( spl0_23
<=> smaller(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f1032,plain,
( ~ smaller(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk2))
| spl0_23
| ~ spl0_36 ),
inference(forward_demodulation,[],[f159,f239]) ).
fof(f159,plain,
( ~ smaller(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3))
| spl0_23 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f1031,plain,
( spl0_8
| ~ spl0_14
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f251,f158,f104,f77]) ).
fof(f77,plain,
( spl0_8
<=> greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f251,plain,
( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| ~ spl0_14
| ~ spl0_23 ),
inference(resolution,[],[f160,f105]) ).
fof(f160,plain,
( smaller(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f982,plain,
( ~ spl0_98
| spl0_8
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f977,f237,f77,f979]) ).
fof(f979,plain,
( spl0_98
<=> greater(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f977,plain,
( ~ greater(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk2))
| spl0_8
| ~ spl0_36 ),
inference(forward_demodulation,[],[f78,f239]) ).
fof(f78,plain,
( ~ greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| spl0_8 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f944,plain,
( spl0_10
| spl0_68
| ~ spl0_11
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f142,f127,f91,f511,f86]) ).
fof(f91,plain,
( spl0_11
<=> greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f127,plain,
( spl0_18
<=> ! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f142,plain,
( external_ties(sk1,sk3) = external_ties(sk1,sk2)
| greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
| ~ spl0_11
| ~ spl0_18 ),
inference(resolution,[],[f128,f93]) ).
fof(f93,plain,
( greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f128,plain,
( ! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f921,plain,
( spl0_72
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f896,f587,f552]) ).
fof(f919,plain,
( spl0_97
| ~ spl0_12
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f894,f556,f96,f916]) ).
fof(f894,plain,
( smaller_or_equal(position(sk1,sk3),position(sk1,sk2))
| ~ spl0_12
| ~ spl0_73 ),
inference(resolution,[],[f558,f97]) ).
fof(f558,plain,
( smaller(position(sk1,sk3),position(sk1,sk2))
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f913,plain,
( spl0_49
| ~ spl0_14
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f893,f556,f104,f336]) ).
fof(f893,plain,
( greater(position(sk1,sk2),position(sk1,sk3))
| ~ spl0_14
| ~ spl0_73 ),
inference(resolution,[],[f558,f105]) ).
fof(f901,plain,
( spl0_96
| ~ spl0_14
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f646,f642,f104,f898]) ).
fof(f646,plain,
( greater(position(sk1,sk2),position(sk1,sk2))
| ~ spl0_14
| ~ spl0_81 ),
inference(resolution,[],[f644,f105]) ).
fof(f644,plain,
( smaller(position(sk1,sk2),position(sk1,sk2))
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f890,plain,
( spl0_72
| ~ spl0_68
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f597,f592,f511,f552]) ).
fof(f592,plain,
( spl0_75
<=> ! [X0] :
( position(sk1,sk2) = position(sk1,X0)
| external_ties(sk1,sk2) != external_ties(sk1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f597,plain,
( position(sk1,sk3) = position(sk1,sk2)
| ~ spl0_68
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f595]) ).
fof(f595,plain,
( external_ties(sk1,sk2) != external_ties(sk1,sk2)
| position(sk1,sk3) = position(sk1,sk2)
| ~ spl0_68
| ~ spl0_75 ),
inference(superposition,[],[f593,f513]) ).
fof(f593,plain,
( ! [X0] :
( external_ties(sk1,sk2) != external_ties(sk1,X0)
| position(sk1,sk2) = position(sk1,X0) )
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f888,plain,
( ~ spl0_95
| spl0_5
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f415,f407,f64,f885]) ).
fof(f885,plain,
( spl0_95
<=> smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f64,plain,
( spl0_5
<=> smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f407,plain,
( spl0_59
<=> hazard_of_mortality(sk1,sk3) = hazard_of_mortality(sk1,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f415,plain,
( ~ smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk2))
| spl0_5
| ~ spl0_59 ),
inference(superposition,[],[f66,f409]) ).
fof(f409,plain,
( hazard_of_mortality(sk1,sk3) = hazard_of_mortality(sk1,sk2)
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f66,plain,
( ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| spl0_5 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f883,plain,
( spl0_94
| ~ spl0_12
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f392,f366,f96,f880]) ).
fof(f392,plain,
( smaller_or_equal(capability(sk1,sk2),capability(sk1,sk3))
| ~ spl0_12
| ~ spl0_55 ),
inference(resolution,[],[f368,f97]) ).
fof(f874,plain,
( spl0_93
| ~ spl0_29
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f311,f302,f191,f872]) ).
fof(f872,plain,
( spl0_93
<=> ! [X2,X0,X1] :
( ~ organization(X0)
| smaller(external_ties(X0,X1),external_ties(X0,X2))
| external_ties(X0,X1) = external_ties(X0,X2)
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ greater_or_equal(capability(X0,X1),capability(X0,X2))
| smaller(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f191,plain,
( spl0_29
<=> ! [X2,X0,X1] :
( ~ organization(X0)
| has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ greater_or_equal(capability(X0,X2),capability(X0,X1))
| ~ greater(position(X0,X2),position(X0,X1))
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f302,plain,
( spl0_44
<=> ! [X2,X0,X1] :
( ~ organization(X0)
| greater(position(X0,X1),position(X0,X2))
| smaller(external_ties(X0,X1),external_ties(X0,X2))
| external_ties(X0,X1) = external_ties(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f311,plain,
( ! [X2,X0,X1] :
( ~ organization(X0)
| smaller(external_ties(X0,X1),external_ties(X0,X2))
| external_ties(X0,X1) = external_ties(X0,X2)
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ greater_or_equal(capability(X0,X1),capability(X0,X2))
| smaller(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) )
| ~ spl0_29
| ~ spl0_44 ),
inference(duplicate_literal_removal,[],[f305]) ).
fof(f305,plain,
( ! [X2,X0,X1] :
( ~ organization(X0)
| smaller(external_ties(X0,X1),external_ties(X0,X2))
| external_ties(X0,X1) = external_ties(X0,X2)
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ greater_or_equal(capability(X0,X1),capability(X0,X2))
| ~ organization(X0)
| smaller(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) )
| ~ spl0_29
| ~ spl0_44 ),
inference(resolution,[],[f303,f192]) ).
fof(f192,plain,
( ! [X2,X0,X1] :
( ~ greater(position(X0,X2),position(X0,X1))
| has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ greater_or_equal(capability(X0,X2),capability(X0,X1))
| ~ organization(X0)
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f303,plain,
( ! [X2,X0,X1] :
( greater(position(X0,X1),position(X0,X2))
| ~ organization(X0)
| smaller(external_ties(X0,X1),external_ties(X0,X2))
| external_ties(X0,X1) = external_ties(X0,X2) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f835,plain,
( spl0_92
| ~ spl0_42
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f306,f302,f288,f833]) ).
fof(f833,plain,
( spl0_92
<=> ! [X0,X3,X2,X1] :
( ~ organization(X0)
| smaller(external_ties(X0,X1),external_ties(X0,X2))
| external_ties(X0,X1) = external_ties(X0,X2)
| position(X0,X2) = X3
| smaller(position(X0,X2),X3)
| greater(position(X0,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f306,plain,
( ! [X2,X3,X0,X1] :
( ~ organization(X0)
| smaller(external_ties(X0,X1),external_ties(X0,X2))
| external_ties(X0,X1) = external_ties(X0,X2)
| position(X0,X2) = X3
| smaller(position(X0,X2),X3)
| greater(position(X0,X1),X3) )
| ~ spl0_42
| ~ spl0_44 ),
inference(resolution,[],[f303,f289]) ).
fof(f831,plain,
( spl0_91
| ~ spl0_13
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f387,f351,f100,f828]) ).
fof(f828,plain,
( spl0_91
<=> greater_or_equal(internal_friction(sk1,sk2),internal_friction(sk1,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f387,plain,
( greater_or_equal(internal_friction(sk1,sk2),internal_friction(sk1,sk3))
| ~ spl0_13
| ~ spl0_52 ),
inference(resolution,[],[f353,f101]) ).
fof(f815,plain,
( spl0_90
| ~ spl0_19
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f307,f302,f131,f813]) ).
fof(f813,plain,
( spl0_90
<=> ! [X0,X3,X2,X1] :
( ~ organization(X0)
| smaller(external_ties(X0,X1),external_ties(X0,X2))
| external_ties(X0,X1) = external_ties(X0,X2)
| ~ greater(X3,position(X0,X1))
| greater(X3,position(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f307,plain,
( ! [X2,X3,X0,X1] :
( ~ organization(X0)
| smaller(external_ties(X0,X1),external_ties(X0,X2))
| external_ties(X0,X1) = external_ties(X0,X2)
| ~ greater(X3,position(X0,X1))
| greater(X3,position(X0,X2)) )
| ~ spl0_19
| ~ spl0_44 ),
inference(resolution,[],[f303,f132]) ).
fof(f784,plain,
( spl0_89
| ~ spl0_13
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f310,f302,f100,f782]) ).
fof(f782,plain,
( spl0_89
<=> ! [X2,X0,X1] :
( ~ organization(X0)
| smaller(external_ties(X0,X1),external_ties(X0,X2))
| external_ties(X0,X1) = external_ties(X0,X2)
| greater_or_equal(position(X0,X1),position(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f310,plain,
( ! [X2,X0,X1] :
( ~ organization(X0)
| smaller(external_ties(X0,X1),external_ties(X0,X2))
| external_ties(X0,X1) = external_ties(X0,X2)
| greater_or_equal(position(X0,X1),position(X0,X2)) )
| ~ spl0_13
| ~ spl0_44 ),
inference(resolution,[],[f303,f101]) ).
fof(f780,plain,
( spl0_88
| ~ spl0_15
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f309,f302,f108,f778]) ).
fof(f778,plain,
( spl0_88
<=> ! [X2,X0,X1] :
( ~ organization(X0)
| smaller(external_ties(X0,X1),external_ties(X0,X2))
| external_ties(X0,X1) = external_ties(X0,X2)
| smaller(position(X0,X2),position(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f309,plain,
( ! [X2,X0,X1] :
( ~ organization(X0)
| smaller(external_ties(X0,X1),external_ties(X0,X2))
| external_ties(X0,X1) = external_ties(X0,X2)
| smaller(position(X0,X2),position(X0,X1)) )
| ~ spl0_15
| ~ spl0_44 ),
inference(resolution,[],[f303,f109]) ).
fof(f776,plain,
( spl0_87
| ~ spl0_16
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f308,f302,f112,f774]) ).
fof(f774,plain,
( spl0_87
<=> ! [X2,X0,X1] :
( ~ organization(X0)
| smaller(external_ties(X0,X1),external_ties(X0,X2))
| external_ties(X0,X1) = external_ties(X0,X2)
| ~ greater(position(X0,X2),position(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f308,plain,
( ! [X2,X0,X1] :
( ~ organization(X0)
| smaller(external_ties(X0,X1),external_ties(X0,X2))
| external_ties(X0,X1) = external_ties(X0,X2)
| ~ greater(position(X0,X2),position(X0,X1)) )
| ~ spl0_16
| ~ spl0_44 ),
inference(resolution,[],[f303,f113]) ).
fof(f723,plain,
( spl0_86
| ~ spl0_20
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f291,f288,f135,f721]) ).
fof(f721,plain,
( spl0_86
<=> ! [X2,X0,X1] :
( X0 = X1
| smaller(X0,X1)
| greater(X2,X1)
| smaller(X2,X0)
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f291,plain,
( ! [X2,X0,X1] :
( X0 = X1
| smaller(X0,X1)
| greater(X2,X1)
| smaller(X2,X0)
| X0 = X2 )
| ~ spl0_20
| ~ spl0_42 ),
inference(resolution,[],[f289,f136]) ).
fof(f719,plain,
( ~ spl0_85
| ~ spl0_16
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f385,f351,f112,f716]) ).
fof(f716,plain,
( spl0_85
<=> greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f385,plain,
( ~ greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ spl0_16
| ~ spl0_52 ),
inference(resolution,[],[f353,f113]) ).
fof(f671,plain,
( spl0_84
| ~ spl0_12
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f286,f274,f96,f669]) ).
fof(f669,plain,
( spl0_84
<=> ! [X0,X1] :
( X0 = X1
| greater_or_equal(X0,X1)
| smaller_or_equal(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f274,plain,
( spl0_41
<=> ! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| greater_or_equal(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f286,plain,
( ! [X0,X1] :
( X0 = X1
| greater_or_equal(X0,X1)
| smaller_or_equal(X0,X1) )
| ~ spl0_12
| ~ spl0_41 ),
inference(resolution,[],[f275,f97]) ).
fof(f275,plain,
( ! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| greater_or_equal(X0,X1) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f667,plain,
( spl0_83
| ~ spl0_14
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f285,f274,f104,f665]) ).
fof(f285,plain,
( ! [X0,X1] :
( X0 = X1
| greater_or_equal(X0,X1)
| greater(X1,X0) )
| ~ spl0_14
| ~ spl0_41 ),
inference(resolution,[],[f275,f105]) ).
fof(f663,plain,
( spl0_82
| ~ spl0_12
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f279,f270,f96,f661]) ).
fof(f661,plain,
( spl0_82
<=> ! [X0,X1] :
( smaller(X1,X0)
| X0 = X1
| smaller_or_equal(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f270,plain,
( spl0_40
<=> ! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| smaller(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f279,plain,
( ! [X0,X1] :
( smaller(X1,X0)
| X0 = X1
| smaller_or_equal(X0,X1) )
| ~ spl0_12
| ~ spl0_40 ),
inference(resolution,[],[f271,f97]) ).
fof(f271,plain,
( ! [X0,X1] :
( smaller(X1,X0)
| smaller(X0,X1)
| X0 = X1 )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f645,plain,
( spl0_81
| ~ spl0_68
| ~ spl0_73
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f637,f592,f556,f511,f642]) ).
fof(f637,plain,
( smaller(position(sk1,sk2),position(sk1,sk2))
| ~ spl0_68
| ~ spl0_73
| ~ spl0_75 ),
inference(forward_demodulation,[],[f558,f597]) ).
fof(f635,plain,
( ~ spl0_7
| spl0_80 ),
inference(avatar_contradiction_clause,[],[f634]) ).
fof(f634,plain,
( $false
| ~ spl0_7
| spl0_80 ),
inference(resolution,[],[f632,f74]) ).
fof(f632,plain,
( ~ greater_or_equal(position(sk1,sk2),position(sk1,sk2))
| spl0_80 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f630,plain,
( spl0_80
<=> greater_or_equal(position(sk1,sk2),position(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f633,plain,
( ~ spl0_80
| spl0_51
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f628,f552,f346,f630]) ).
fof(f628,plain,
( ~ greater_or_equal(position(sk1,sk2),position(sk1,sk2))
| spl0_51
| ~ spl0_72 ),
inference(forward_demodulation,[],[f347,f554]) ).
fof(f347,plain,
( ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
| spl0_51 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f627,plain,
( spl0_5
| ~ spl0_1
| ~ spl0_51
| spl0_2
| spl0_3
| ~ spl0_27
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f264,f260,f182,f54,f49,f346,f44,f64]) ).
fof(f49,plain,
( spl0_2
<=> has_immunity(sk1,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f54,plain,
( spl0_3
<=> has_immunity(sk1,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f182,plain,
( spl0_27
<=> ! [X2,X0,X1] :
( ~ organization(X0)
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ greater_or_equal(position(X0,X2),position(X0,X1))
| ~ greater(capability(X0,X2),capability(X0,X1))
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f264,plain,
( has_immunity(sk1,sk3)
| has_immunity(sk1,sk2)
| ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
| ~ organization(sk1)
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ spl0_27
| ~ spl0_39 ),
inference(resolution,[],[f262,f183]) ).
fof(f183,plain,
( ! [X2,X0,X1] :
( ~ greater(capability(X0,X2),capability(X0,X1))
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ greater_or_equal(position(X0,X2),position(X0,X1))
| ~ organization(X0)
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f262,plain,
( greater(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f623,plain,
( spl0_79
| ~ spl0_72
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f619,f616,f552,f621]) ).
fof(f616,plain,
( spl0_78
<=> ! [X0] :
( ~ greater(external_ties(sk1,sk2),external_ties(sk1,X0))
| greater(position(sk1,sk3),position(sk1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f619,plain,
( ! [X0] :
( greater(position(sk1,sk2),position(sk1,X0))
| ~ greater(external_ties(sk1,sk2),external_ties(sk1,X0)) )
| ~ spl0_72
| ~ spl0_78 ),
inference(forward_demodulation,[],[f617,f554]) ).
fof(f617,plain,
( ! [X0] :
( ~ greater(external_ties(sk1,sk2),external_ties(sk1,X0))
| greater(position(sk1,sk3),position(sk1,X0)) )
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f618,plain,
( ~ spl0_1
| spl0_78
| ~ spl0_21
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f529,f511,f150,f616,f44]) ).
fof(f150,plain,
( spl0_21
<=> ! [X2,X0,X1] :
( ~ organization(X0)
| ~ greater(external_ties(X0,X1),external_ties(X0,X2))
| greater(position(X0,X1),position(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f529,plain,
( ! [X0] :
( ~ greater(external_ties(sk1,sk2),external_ties(sk1,X0))
| ~ organization(sk1)
| greater(position(sk1,sk3),position(sk1,X0)) )
| ~ spl0_21
| ~ spl0_68 ),
inference(superposition,[],[f151,f513]) ).
fof(f151,plain,
( ! [X2,X0,X1] :
( ~ greater(external_ties(X0,X1),external_ties(X0,X2))
| ~ organization(X0)
| greater(position(X0,X1),position(X0,X2)) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f608,plain,
( spl0_77
| ~ spl0_72
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f602,f599,f552,f606]) ).
fof(f602,plain,
( ! [X0] :
( greater(position(sk1,X0),position(sk1,sk2))
| ~ greater(external_ties(sk1,X0),external_ties(sk1,sk2)) )
| ~ spl0_72
| ~ spl0_76 ),
inference(forward_demodulation,[],[f600,f554]) ).
fof(f603,plain,
( spl0_32
| ~ spl0_14
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f378,f341,f104,f211]) ).
fof(f378,plain,
( greater(position(sk1,sk3),position(sk1,sk2))
| ~ spl0_14
| ~ spl0_50 ),
inference(resolution,[],[f343,f105]) ).
fof(f601,plain,
( ~ spl0_1
| spl0_76
| ~ spl0_21
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f528,f511,f150,f599,f44]) ).
fof(f528,plain,
( ! [X0] :
( ~ greater(external_ties(sk1,X0),external_ties(sk1,sk2))
| ~ organization(sk1)
| greater(position(sk1,X0),position(sk1,sk3)) )
| ~ spl0_21
| ~ spl0_68 ),
inference(superposition,[],[f151,f513]) ).
fof(f594,plain,
( spl0_75
| ~ spl0_72
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f590,f587,f552,f592]) ).
fof(f590,plain,
( ! [X0] :
( position(sk1,sk2) = position(sk1,X0)
| external_ties(sk1,sk2) != external_ties(sk1,X0) )
| ~ spl0_72
| ~ spl0_74 ),
inference(forward_demodulation,[],[f588,f554]) ).
fof(f589,plain,
( ~ spl0_1
| spl0_74
| ~ spl0_22
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f526,f511,f154,f587,f44]) ).
fof(f154,plain,
( spl0_22
<=> ! [X2,X0,X1] :
( ~ organization(X0)
| external_ties(X0,X1) != external_ties(X0,X2)
| position(X0,X2) = position(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f526,plain,
( ! [X0] :
( external_ties(sk1,sk2) != external_ties(sk1,X0)
| ~ organization(sk1)
| position(sk1,sk3) = position(sk1,X0) )
| ~ spl0_22
| ~ spl0_68 ),
inference(superposition,[],[f155,f513]) ).
fof(f155,plain,
( ! [X2,X0,X1] :
( external_ties(X0,X1) != external_ties(X0,X2)
| ~ organization(X0)
| position(X0,X2) = position(X0,X1) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f559,plain,
( spl0_72
| spl0_73
| ~ spl0_20
| spl0_32 ),
inference(avatar_split_clause,[],[f509,f211,f135,f556,f552]) ).
fof(f509,plain,
( smaller(position(sk1,sk3),position(sk1,sk2))
| position(sk1,sk3) = position(sk1,sk2)
| ~ spl0_20
| spl0_32 ),
inference(resolution,[],[f212,f136]) ).
fof(f212,plain,
( ~ greater(position(sk1,sk3),position(sk1,sk2))
| spl0_32 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f545,plain,
( ~ spl0_71
| ~ spl0_68
| spl0_69 ),
inference(avatar_split_clause,[],[f533,f515,f511,f542]) ).
fof(f533,plain,
( ~ smaller(external_ties(sk1,sk2),external_ties(sk1,sk2))
| ~ spl0_68
| spl0_69 ),
inference(superposition,[],[f516,f513]) ).
fof(f516,plain,
( ~ smaller(external_ties(sk1,sk3),external_ties(sk1,sk2))
| spl0_69 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f540,plain,
( ~ spl0_70
| spl0_10
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f519,f511,f86,f537]) ).
fof(f519,plain,
( ~ greater(external_ties(sk1,sk2),external_ties(sk1,sk2))
| spl0_10
| ~ spl0_68 ),
inference(superposition,[],[f87,f513]) ).
fof(f87,plain,
( ~ greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
| spl0_10 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f534,plain,
( spl0_10
| ~ spl0_14
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f207,f186,f104,f86]) ).
fof(f207,plain,
( greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
| ~ spl0_14
| ~ spl0_28 ),
inference(resolution,[],[f188,f105]) ).
fof(f518,plain,
( spl0_68
| spl0_69
| spl0_10
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f506,f135,f86,f515,f511]) ).
fof(f506,plain,
( smaller(external_ties(sk1,sk3),external_ties(sk1,sk2))
| external_ties(sk1,sk3) = external_ties(sk1,sk2)
| spl0_10
| ~ spl0_20 ),
inference(resolution,[],[f87,f136]) ).
fof(f503,plain,
( spl0_5
| ~ spl0_1
| ~ spl0_56
| spl0_3
| spl0_2
| ~ spl0_29
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f215,f211,f191,f49,f54,f371,f44,f64]) ).
fof(f215,plain,
( has_immunity(sk1,sk2)
| has_immunity(sk1,sk3)
| ~ greater_or_equal(capability(sk1,sk3),capability(sk1,sk2))
| ~ organization(sk1)
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ spl0_29
| ~ spl0_32 ),
inference(resolution,[],[f213,f192]) ).
fof(f471,plain,
( spl0_67
| ~ spl0_12
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f379,f341,f96,f468]) ).
fof(f468,plain,
( spl0_67
<=> smaller_or_equal(position(sk1,sk2),position(sk1,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f379,plain,
( smaller_or_equal(position(sk1,sk2),position(sk1,sk3))
| ~ spl0_12
| ~ spl0_50 ),
inference(resolution,[],[f343,f97]) ).
fof(f443,plain,
( spl0_66
| ~ spl0_10
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f295,f288,f86,f441]) ).
fof(f295,plain,
( ! [X0] :
( external_ties(sk1,sk2) = X0
| smaller(external_ties(sk1,sk2),X0)
| greater(external_ties(sk1,sk3),X0) )
| ~ spl0_10
| ~ spl0_42 ),
inference(resolution,[],[f289,f88]) ).
fof(f439,plain,
( spl0_65
| ~ spl0_8
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f294,f288,f77,f437]) ).
fof(f294,plain,
( ! [X0] :
( stock_of_knowledge(sk1,sk2) = X0
| smaller(stock_of_knowledge(sk1,sk2),X0)
| greater(stock_of_knowledge(sk1,sk3),X0) )
| ~ spl0_8
| ~ spl0_42 ),
inference(resolution,[],[f289,f79]) ).
fof(f79,plain,
( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f435,plain,
( spl0_64
| ~ spl0_32
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f293,f288,f211,f433]) ).
fof(f293,plain,
( ! [X0] :
( position(sk1,sk2) = X0
| smaller(position(sk1,sk2),X0)
| greater(position(sk1,sk3),X0) )
| ~ spl0_32
| ~ spl0_42 ),
inference(resolution,[],[f289,f213]) ).
fof(f431,plain,
( spl0_63
| ~ spl0_39
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f292,f288,f260,f429]) ).
fof(f292,plain,
( ! [X0] :
( capability(sk1,sk2) = X0
| smaller(capability(sk1,sk2),X0)
| greater(capability(sk1,sk3),X0) )
| ~ spl0_39
| ~ spl0_42 ),
inference(resolution,[],[f289,f262]) ).
fof(f427,plain,
( spl0_62
| ~ spl0_20
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f258,f255,f135,f425]) ).
fof(f258,plain,
( ! [X0] :
( greater(X0,stock_of_knowledge(sk1,sk2))
| smaller(X0,stock_of_knowledge(sk1,sk3))
| stock_of_knowledge(sk1,sk3) = X0 )
| ~ spl0_20
| ~ spl0_38 ),
inference(resolution,[],[f256,f136]) ).
fof(f423,plain,
( spl0_61
| ~ spl0_20
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f224,f221,f135,f421]) ).
fof(f224,plain,
( ! [X0] :
( greater(X0,external_ties(sk1,sk2))
| smaller(X0,external_ties(sk1,sk3))
| external_ties(sk1,sk3) = X0 )
| ~ spl0_20
| ~ spl0_33 ),
inference(resolution,[],[f222,f136]) ).
fof(f414,plain,
( spl0_59
| spl0_60
| spl0_5
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f277,f270,f64,f411,f407]) ).
fof(f411,plain,
( spl0_60
<=> smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f277,plain,
( smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3))
| hazard_of_mortality(sk1,sk3) = hazard_of_mortality(sk1,sk2)
| spl0_5
| ~ spl0_40 ),
inference(resolution,[],[f271,f66]) ).
fof(f402,plain,
( spl0_58
| ~ spl0_19
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f265,f260,f131,f400]) ).
fof(f265,plain,
( ! [X0] :
( ~ greater(X0,capability(sk1,sk3))
| greater(X0,capability(sk1,sk2)) )
| ~ spl0_19
| ~ spl0_39 ),
inference(resolution,[],[f262,f132]) ).
fof(f398,plain,
( spl0_57
| ~ spl0_19
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f216,f211,f131,f396]) ).
fof(f216,plain,
( ! [X0] :
( ~ greater(X0,position(sk1,sk3))
| greater(X0,position(sk1,sk2)) )
| ~ spl0_19
| ~ spl0_32 ),
inference(resolution,[],[f213,f132]) ).
fof(f374,plain,
( spl0_56
| ~ spl0_13
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f268,f260,f100,f371]) ).
fof(f268,plain,
( greater_or_equal(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_13
| ~ spl0_39 ),
inference(resolution,[],[f262,f101]) ).
fof(f369,plain,
( spl0_55
| ~ spl0_15
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f267,f260,f108,f366]) ).
fof(f267,plain,
( smaller(capability(sk1,sk2),capability(sk1,sk3))
| ~ spl0_15
| ~ spl0_39 ),
inference(resolution,[],[f262,f109]) ).
fof(f364,plain,
( ~ spl0_54
| ~ spl0_16
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f266,f260,f112,f361]) ).
fof(f266,plain,
( ~ greater(capability(sk1,sk2),capability(sk1,sk3))
| ~ spl0_16
| ~ spl0_39 ),
inference(resolution,[],[f262,f113]) ).
fof(f359,plain,
( spl0_53
| ~ spl0_12
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f252,f158,f96,f356]) ).
fof(f356,plain,
( spl0_53
<=> smaller_or_equal(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f252,plain,
( smaller_or_equal(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3))
| ~ spl0_12
| ~ spl0_23 ),
inference(resolution,[],[f160,f97]) ).
fof(f354,plain,
( spl0_52
| ~ spl0_14
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f234,f226,f104,f351]) ).
fof(f234,plain,
( greater(internal_friction(sk1,sk2),internal_friction(sk1,sk3))
| ~ spl0_14
| ~ spl0_34 ),
inference(resolution,[],[f228,f105]) ).
fof(f228,plain,
( smaller(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f349,plain,
( spl0_51
| ~ spl0_13
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f219,f211,f100,f346]) ).
fof(f344,plain,
( spl0_50
| ~ spl0_15
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f218,f211,f108,f341]) ).
fof(f339,plain,
( ~ spl0_49
| ~ spl0_16
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f217,f211,f112,f336]) ).
fof(f330,plain,
( spl0_48
| ~ spl0_20
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f199,f191,f135,f328]) ).
fof(f328,plain,
( spl0_48
<=> ! [X2,X0,X1] :
( has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ greater_or_equal(capability(X0,X2),capability(X0,X1))
| ~ organization(X0)
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| smaller(position(X0,X2),position(X0,X1))
| position(X0,X2) = position(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f199,plain,
( ! [X2,X0,X1] :
( has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ greater_or_equal(capability(X0,X2),capability(X0,X1))
| ~ organization(X0)
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| smaller(position(X0,X2),position(X0,X1))
| position(X0,X2) = position(X0,X1) )
| ~ spl0_20
| ~ spl0_29 ),
inference(resolution,[],[f192,f136]) ).
fof(f326,plain,
( spl0_47
| ~ spl0_20
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f198,f182,f135,f324]) ).
fof(f324,plain,
( spl0_47
<=> ! [X2,X0,X1] :
( has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ greater_or_equal(position(X0,X1),position(X0,X2))
| ~ organization(X0)
| smaller(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| smaller(capability(X0,X1),capability(X0,X2))
| capability(X0,X2) = capability(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f198,plain,
( ! [X2,X0,X1] :
( has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ greater_or_equal(position(X0,X1),position(X0,X2))
| ~ organization(X0)
| smaller(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| smaller(capability(X0,X1),capability(X0,X2))
| capability(X0,X2) = capability(X0,X1) )
| ~ spl0_20
| ~ spl0_27 ),
inference(resolution,[],[f183,f136]) ).
fof(f319,plain,
( spl0_46
| ~ spl0_20
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f179,f171,f135,f317]) ).
fof(f179,plain,
( ! [X2,X0,X1] :
( ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ organization(X0)
| smaller(capability(X0,X1),capability(X0,X2))
| smaller(internal_friction(X0,X1),internal_friction(X0,X2))
| internal_friction(X0,X1) = internal_friction(X0,X2) )
| ~ spl0_20
| ~ spl0_25 ),
inference(resolution,[],[f172,f136]) ).
fof(f315,plain,
( spl0_45
| ~ spl0_20
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f178,f167,f135,f313]) ).
fof(f313,plain,
( spl0_45
<=> ! [X2,X0,X1] :
( ~ smaller_or_equal(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ organization(X0)
| greater(capability(X0,X1),capability(X0,X2))
| smaller(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| stock_of_knowledge(X0,X1) = stock_of_knowledge(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f178,plain,
( ! [X2,X0,X1] :
( ~ smaller_or_equal(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ organization(X0)
| greater(capability(X0,X1),capability(X0,X2))
| smaller(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| stock_of_knowledge(X0,X1) = stock_of_knowledge(X0,X2) )
| ~ spl0_20
| ~ spl0_24 ),
inference(resolution,[],[f168,f136]) ).
fof(f304,plain,
( spl0_44
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f164,f150,f135,f302]) ).
fof(f164,plain,
( ! [X2,X0,X1] :
( ~ organization(X0)
| greater(position(X0,X1),position(X0,X2))
| smaller(external_ties(X0,X1),external_ties(X0,X2))
| external_ties(X0,X1) = external_ties(X0,X2) )
| ~ spl0_20
| ~ spl0_21 ),
inference(resolution,[],[f151,f136]) ).
fof(f300,plain,
( spl0_43
| ~ spl0_12
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f208,f186,f96,f297]) ).
fof(f297,plain,
( spl0_43
<=> smaller_or_equal(external_ties(sk1,sk2),external_ties(sk1,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f208,plain,
( smaller_or_equal(external_ties(sk1,sk2),external_ties(sk1,sk3))
| ~ spl0_12
| ~ spl0_28 ),
inference(resolution,[],[f188,f97]) ).
fof(f290,plain,
( spl0_42
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f145,f135,f131,f288]) ).
fof(f145,plain,
( ! [X2,X0,X1] :
( smaller(X0,X1)
| X0 = X1
| ~ greater(X2,X0)
| greater(X2,X1) )
| ~ spl0_19
| ~ spl0_20 ),
inference(resolution,[],[f136,f132]) ).
fof(f276,plain,
( spl0_41
| ~ spl0_13
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f148,f135,f100,f274]) ).
fof(f148,plain,
( ! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| greater_or_equal(X0,X1) )
| ~ spl0_13
| ~ spl0_20 ),
inference(resolution,[],[f136,f101]) ).
fof(f272,plain,
( spl0_40
| ~ spl0_15
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f147,f135,f108,f270]) ).
fof(f147,plain,
( ! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| smaller(X1,X0) )
| ~ spl0_15
| ~ spl0_20 ),
inference(resolution,[],[f136,f109]) ).
fof(f263,plain,
( spl0_39
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f241,f167,f77,f59,f44,f260]) ).
fof(f59,plain,
( spl0_4
<=> smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f241,plain,
( ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ organization(sk1)
| greater(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_8
| ~ spl0_24 ),
inference(resolution,[],[f79,f168]) ).
fof(f257,plain,
( spl0_38
| ~ spl0_8
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f143,f131,f77,f255]) ).
fof(f143,plain,
( ! [X0] :
( ~ greater(X0,stock_of_knowledge(sk1,sk3))
| greater(X0,stock_of_knowledge(sk1,sk2)) )
| ~ spl0_8
| ~ spl0_19 ),
inference(resolution,[],[f132,f79]) ).
fof(f250,plain,
( ~ spl0_37
| ~ spl0_8
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f119,f112,f77,f247]) ).
fof(f247,plain,
( spl0_37
<=> greater(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f119,plain,
( ~ greater(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3))
| ~ spl0_8
| ~ spl0_16 ),
inference(resolution,[],[f113,f79]) ).
fof(f240,plain,
( spl0_8
| spl0_36
| ~ spl0_9
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f141,f127,f81,f237,f77]) ).
fof(f81,plain,
( spl0_9
<=> greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f141,plain,
( stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2)
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| ~ spl0_9
| ~ spl0_18 ),
inference(resolution,[],[f128,f83]) ).
fof(f83,plain,
( greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f233,plain,
( spl0_34
| spl0_35
| ~ spl0_4
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f138,f122,f59,f230,f226]) ).
fof(f138,plain,
( internal_friction(sk1,sk3) = internal_friction(sk1,sk2)
| smaller(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ spl0_4
| ~ spl0_17 ),
inference(resolution,[],[f123,f61]) ).
fof(f61,plain,
( smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f223,plain,
( spl0_33
| ~ spl0_10
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f144,f131,f86,f221]) ).
fof(f144,plain,
( ! [X0] :
( ~ greater(X0,external_ties(sk1,sk3))
| greater(X0,external_ties(sk1,sk2)) )
| ~ spl0_10
| ~ spl0_19 ),
inference(resolution,[],[f132,f88]) ).
fof(f214,plain,
( spl0_32
| ~ spl0_1
| ~ spl0_10
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f163,f150,f86,f44,f211]) ).
fof(f163,plain,
( ~ organization(sk1)
| greater(position(sk1,sk3),position(sk1,sk2))
| ~ spl0_10
| ~ spl0_21 ),
inference(resolution,[],[f151,f88]) ).
fof(f206,plain,
( ~ spl0_31
| ~ spl0_10
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f120,f112,f86,f203]) ).
fof(f120,plain,
( ~ greater(external_ties(sk1,sk2),external_ties(sk1,sk3))
| ~ spl0_10
| ~ spl0_16 ),
inference(resolution,[],[f113,f88]) ).
fof(f197,plain,
spl0_30,
inference(avatar_split_clause,[],[f14,f195]) ).
fof(f195,plain,
( spl0_30
<=> ! [X2,X0,X1] :
( ~ organization(X0)
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| position(X0,X2) != position(X0,X1)
| capability(X0,X2) != capability(X0,X1)
| hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f14,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| position(X0,X2) != position(X0,X1)
| capability(X0,X2) != capability(X0,X1)
| hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4_40) ).
fof(f193,plain,
spl0_29,
inference(avatar_split_clause,[],[f13,f191]) ).
fof(f13,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ greater_or_equal(capability(X0,X2),capability(X0,X1))
| ~ greater(position(X0,X2),position(X0,X1))
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4_39) ).
fof(f189,plain,
( spl0_28
| ~ spl0_10
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f118,f108,f86,f186]) ).
fof(f184,plain,
spl0_27,
inference(avatar_split_clause,[],[f12,f182]) ).
fof(f12,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ greater_or_equal(position(X0,X2),position(X0,X1))
| ~ greater(capability(X0,X2),capability(X0,X1))
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4_38) ).
fof(f177,plain,
spl0_26,
inference(avatar_split_clause,[],[f17,f175]) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| internal_friction(X0,X1) != internal_friction(X0,X2)
| stock_of_knowledge(X0,X1) != stock_of_knowledge(X0,X2)
| capability(X0,X2) = capability(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5_43) ).
fof(f173,plain,
spl0_25,
inference(avatar_split_clause,[],[f16,f171]) ).
fof(f16,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
| smaller(capability(X0,X1),capability(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5_42) ).
fof(f169,plain,
spl0_24,
inference(avatar_split_clause,[],[f15,f167]) ).
fof(f15,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ smaller_or_equal(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| greater(capability(X0,X1),capability(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5_41) ).
fof(f161,plain,
( spl0_23
| ~ spl0_8
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f117,f108,f77,f158]) ).
fof(f117,plain,
( smaller(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3))
| ~ spl0_8
| ~ spl0_15 ),
inference(resolution,[],[f109,f79]) ).
fof(f156,plain,
spl0_22,
inference(avatar_split_clause,[],[f19,f154]) ).
fof(f19,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| external_ties(X0,X1) != external_ties(X0,X2)
| position(X0,X2) = position(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6_45) ).
fof(f152,plain,
spl0_21,
inference(avatar_split_clause,[],[f18,f150]) ).
fof(f18,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ greater(external_ties(X0,X1),external_ties(X0,X2))
| greater(position(X0,X1),position(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6_44) ).
fof(f137,plain,
spl0_20,
inference(avatar_split_clause,[],[f11,f135]) ).
fof(f11,axiom,
! [X0,X1] :
( X0 = X1
| smaller(X0,X1)
| greater(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_comparable_11) ).
fof(f133,plain,
spl0_19,
inference(avatar_split_clause,[],[f10,f131]) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X2)
| greater(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_transitive_10) ).
fof(f129,plain,
spl0_18,
inference(avatar_split_clause,[],[f4,f127]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal_4) ).
fof(f125,plain,
( spl0_11
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f116,f100,f86,f91]) ).
fof(f116,plain,
( greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2))
| ~ spl0_10
| ~ spl0_13 ),
inference(resolution,[],[f101,f88]) ).
fof(f124,plain,
spl0_17,
inference(avatar_split_clause,[],[f1,f122]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_1) ).
fof(f114,plain,
spl0_16,
inference(avatar_split_clause,[],[f9,f112]) ).
fof(f9,axiom,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_strict_9) ).
fof(f110,plain,
spl0_15,
inference(avatar_split_clause,[],[f8,f108]) ).
fof(f8,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| smaller(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_8) ).
fof(f106,plain,
spl0_14,
inference(avatar_split_clause,[],[f7,f104]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_7) ).
fof(f102,plain,
spl0_13,
inference(avatar_split_clause,[],[f5,f100]) ).
fof(f5,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal_5) ).
fof(f98,plain,
spl0_12,
inference(avatar_split_clause,[],[f2,f96]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_2) ).
fof(f94,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f31,f91,f86]) ).
fof(f31,axiom,
( greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2))
| greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_57) ).
fof(f89,plain,
( spl0_8
| spl0_10 ),
inference(avatar_split_clause,[],[f25,f86,f77]) ).
fof(f25,axiom,
( greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_51) ).
fof(f84,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f23,f81,f77]) ).
fof(f23,axiom,
( greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_49) ).
fof(f75,plain,
spl0_7,
inference(avatar_split_clause,[],[f40,f73]) ).
fof(f40,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal_6) ).
fof(f71,plain,
spl0_6,
inference(avatar_split_clause,[],[f39,f69]) ).
fof(f39,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_3) ).
fof(f67,plain,
~ spl0_5,
inference(avatar_split_clause,[],[f42,f64]) ).
fof(f42,plain,
~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
inference(duplicate_literal_removal,[],[f38]) ).
fof(f38,axiom,
( ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_64) ).
fof(f62,plain,
spl0_4,
inference(avatar_split_clause,[],[f41,f59]) ).
fof(f41,plain,
smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
inference(duplicate_literal_removal,[],[f28]) ).
fof(f28,axiom,
( smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_54) ).
fof(f57,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f22,f54]) ).
fof(f22,axiom,
~ has_immunity(sk1,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_48) ).
fof(f52,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f21,f49]) ).
fof(f21,axiom,
~ has_immunity(sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_47) ).
fof(f47,plain,
spl0_1,
inference(avatar_split_clause,[],[f20,f44]) ).
fof(f20,axiom,
organization(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_46) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : MGT042-1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Apr 30 03:45:06 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % (15562)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.30 % (15565)WARNING: value z3 for option sas not known
% 0.09/0.30 % (15565)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.09/0.30 % (15567)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.09/0.30 % (15569)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.09/0.30 % (15568)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.09/0.30 % (15563)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.09/0.30 % (15564)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.09/0.30 % (15566)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.09/0.31 TRYING [1]
% 0.09/0.31 TRYING [2]
% 0.09/0.31 TRYING [3]
% 0.13/0.31 TRYING [1]
% 0.13/0.32 TRYING [2]
% 0.13/0.32 TRYING [4]
% 0.13/0.34 TRYING [3]
% 0.13/0.35 TRYING [5]
% 0.13/0.35 % (15567)First to succeed.
% 0.13/0.36 % (15567)Refutation found. Thanks to Tanya!
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.36 % (15567)------------------------------
% 0.13/0.36 % (15567)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.36 % (15567)Termination reason: Refutation
% 0.13/0.36
% 0.13/0.36 % (15567)Memory used [KB]: 1618
% 0.13/0.36 % (15567)Time elapsed: 0.060 s
% 0.13/0.36 % (15567)Instructions burned: 139 (million)
% 0.13/0.36 % (15567)------------------------------
% 0.13/0.36 % (15567)------------------------------
% 0.13/0.36 % (15562)Success in time 0.071 s
%------------------------------------------------------------------------------