TSTP Solution File: SET156-6 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET156-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n001.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 : Thu Aug 31 15:38:21 EDT 2023
% Result : Unsatisfiable 243.88s 35.13s
% Output : Refutation 243.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 65
% Syntax : Number of formulae : 399 ( 33 unt; 0 def)
% Number of atoms : 1122 ( 134 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 1236 ( 513 ~; 698 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 26 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 15 con; 0-3 aty)
% Number of variables : 253 (; 253 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f958022,plain,
$false,
inference(avatar_sat_refutation,[],[f14820,f52116,f486005,f528270,f573301,f583403,f588618,f628154,f644409,f745580,f745654,f745660,f745848,f758189,f786970,f796196,f800262,f841070,f882601,f898734,f898951,f902817,f905531,f943054,f944238,f947605,f958015,f958021]) ).
fof(f958021,plain,
( ~ spl8_215
| ~ spl8_660 ),
inference(avatar_contradiction_clause,[],[f958020]) ).
fof(f958020,plain,
( $false
| ~ spl8_215
| ~ spl8_660 ),
inference(subsumption_resolution,[],[f757860,f14476]) ).
fof(f14476,plain,
( member(universal_class,universal_class)
| ~ spl8_215 ),
inference(avatar_component_clause,[],[f14474]) ).
fof(f14474,plain,
( spl8_215
<=> member(universal_class,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_215])]) ).
fof(f757860,plain,
( ~ member(universal_class,universal_class)
| ~ spl8_660 ),
inference(forward_demodulation,[],[f757859,f50605]) ).
fof(f50605,plain,
universal_class = complement(null_class),
inference(duplicate_literal_removal,[],[f50554]) ).
fof(f50554,plain,
( universal_class = complement(null_class)
| universal_class = complement(null_class) ),
inference(resolution,[],[f49078,f3285]) ).
fof(f3285,plain,
! [X4] :
( ~ member(not_subclass_element(universal_class,X4),null_class)
| universal_class = X4 ),
inference(forward_demodulation,[],[f720,f1667]) ).
fof(f1667,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f1666]) ).
fof(f1666,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f1509,f66]) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',regularity1) ).
fof(f1509,plain,
! [X6] :
( ~ member(regular(X6),complement(universal_class))
| null_class = X6 ),
inference(resolution,[],[f1426,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,X0)
| ~ member(X4,complement(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',complement1) ).
fof(f1426,plain,
! [X3] :
( member(regular(X3),universal_class)
| null_class = X3 ),
inference(resolution,[],[f277,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',class_elements_are_sets) ).
fof(f277,plain,
! [X2,X3] :
( ~ subclass(X2,X3)
| member(regular(X2),X3)
| null_class = X2 ),
inference(resolution,[],[f1,f66]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',subclass_members) ).
fof(f720,plain,
! [X4] :
( universal_class = X4
| ~ member(not_subclass_element(universal_class,X4),complement(universal_class)) ),
inference(resolution,[],[f307,f24]) ).
fof(f307,plain,
! [X0] :
( member(not_subclass_element(universal_class,X0),universal_class)
| universal_class = X0 ),
inference(resolution,[],[f290,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',not_subclass_members1) ).
fof(f290,plain,
! [X3] :
( ~ subclass(universal_class,X3)
| universal_class = X3 ),
inference(resolution,[],[f7,f4]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',subclass_implies_equal) ).
fof(f49078,plain,
! [X5] :
( member(not_subclass_element(universal_class,complement(X5)),X5)
| universal_class = complement(X5) ),
inference(subsumption_resolution,[],[f49059,f290]) ).
fof(f49059,plain,
! [X5] :
( member(not_subclass_element(universal_class,complement(X5)),X5)
| universal_class = complement(X5)
| subclass(universal_class,complement(X5)) ),
inference(resolution,[],[f718,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',not_subclass_members2) ).
fof(f718,plain,
! [X0,X1] :
( member(not_subclass_element(universal_class,X0),complement(X1))
| member(not_subclass_element(universal_class,X0),X1)
| universal_class = X0 ),
inference(resolution,[],[f307,f25]) ).
fof(f25,axiom,
! [X0,X4] :
( ~ member(X4,universal_class)
| member(X4,X0)
| member(X4,complement(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',complement2) ).
fof(f757859,plain,
( ~ member(universal_class,complement(null_class))
| ~ spl8_660 ),
inference(subsumption_resolution,[],[f268793,f4448]) ).
fof(f4448,plain,
! [X8,X9,X7] :
( member(X7,universal_class)
| ~ member(X7,X9)
| ~ member(X7,X8) ),
inference(resolution,[],[f421,f4]) ).
fof(f421,plain,
! [X8,X6,X9,X7] :
( ~ subclass(intersection(X8,X7),X9)
| ~ member(X6,X8)
| ~ member(X6,X7)
| member(X6,X9) ),
inference(resolution,[],[f23,f1]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X1)
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',intersection3) ).
fof(f268793,plain,
( ~ member(universal_class,complement(null_class))
| ~ member(universal_class,universal_class)
| ~ spl8_660 ),
inference(superposition,[],[f197,f145223]) ).
fof(f145223,plain,
( null_class = unordered_pair(sF1,universal_class)
| ~ spl8_660 ),
inference(avatar_component_clause,[],[f145221]) ).
fof(f145221,plain,
( spl8_660
<=> null_class = unordered_pair(sF1,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_660])]) ).
fof(f197,plain,
! [X0,X1] :
( ~ member(X0,complement(unordered_pair(X1,X0)))
| ~ member(X0,universal_class) ),
inference(resolution,[],[f10,f24]) ).
fof(f10,axiom,
! [X0,X1] :
( member(X1,unordered_pair(X0,X1))
| ~ member(X1,universal_class) ),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',unordered_pair3) ).
fof(f958015,plain,
( ~ spl8_215
| ~ spl8_225
| spl8_340
| spl8_660 ),
inference(avatar_contradiction_clause,[],[f958014]) ).
fof(f958014,plain,
( $false
| ~ spl8_215
| ~ spl8_225
| spl8_340
| spl8_660 ),
inference(subsumption_resolution,[],[f957962,f145222]) ).
fof(f145222,plain,
( null_class != unordered_pair(sF1,universal_class)
| spl8_660 ),
inference(avatar_component_clause,[],[f145221]) ).
fof(f957962,plain,
( null_class = unordered_pair(sF1,universal_class)
| ~ spl8_215
| ~ spl8_225
| spl8_340
| spl8_660 ),
inference(resolution,[],[f954171,f66]) ).
fof(f954171,plain,
( ! [X0] : ~ member(X0,unordered_pair(sF1,universal_class))
| ~ spl8_215
| ~ spl8_225
| spl8_340
| spl8_660 ),
inference(subsumption_resolution,[],[f954170,f4448]) ).
fof(f954170,plain,
( ! [X0] :
( ~ member(X0,unordered_pair(sF1,universal_class))
| ~ member(X0,universal_class) )
| ~ spl8_215
| ~ spl8_225
| spl8_340
| spl8_660 ),
inference(subsumption_resolution,[],[f954169,f145222]) ).
fof(f954169,plain,
( ! [X0] :
( null_class = unordered_pair(sF1,universal_class)
| ~ member(X0,unordered_pair(sF1,universal_class))
| ~ member(X0,universal_class) )
| ~ spl8_215
| ~ spl8_225
| spl8_340
| spl8_660 ),
inference(subsumption_resolution,[],[f954162,f14968]) ).
fof(f14968,plain,
( member(universal_class,sF1)
| ~ spl8_225 ),
inference(avatar_component_clause,[],[f14966]) ).
fof(f14966,plain,
( spl8_225
<=> member(universal_class,sF1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_225])]) ).
fof(f954162,plain,
( ! [X0] :
( ~ member(universal_class,sF1)
| null_class = unordered_pair(sF1,universal_class)
| ~ member(X0,unordered_pair(sF1,universal_class))
| ~ member(X0,universal_class) )
| ~ spl8_215
| spl8_340
| spl8_660 ),
inference(resolution,[],[f786964,f672316]) ).
fof(f672316,plain,
! [X3,X6,X4,X5] :
( ~ member(X5,unordered_pair(X3,X4))
| ~ member(X5,X3)
| null_class = unordered_pair(X3,X4)
| ~ member(X6,unordered_pair(X3,X4))
| ~ member(X6,X4) ),
inference(duplicate_literal_removal,[],[f672275]) ).
fof(f672275,plain,
! [X3,X6,X4,X5] :
( ~ member(X5,X3)
| ~ member(X5,unordered_pair(X3,X4))
| null_class = unordered_pair(X3,X4)
| ~ member(X6,unordered_pair(X3,X4))
| null_class = unordered_pair(X3,X4)
| ~ member(X6,X4) ),
inference(superposition,[],[f671398,f665602]) ).
fof(f665602,plain,
! [X8,X6,X7] :
( regular(unordered_pair(X6,X7)) = X6
| ~ member(X8,unordered_pair(X6,X7))
| null_class = unordered_pair(X6,X7)
| ~ member(X8,X7) ),
inference(subsumption_resolution,[],[f6939,f6955]) ).
fof(f6955,plain,
! [X16,X14,X15] :
( ~ member(X14,null_class)
| ~ member(X14,X15)
| ~ member(X14,X16) ),
inference(forward_demodulation,[],[f4465,f1667]) ).
fof(f4465,plain,
! [X16,X14,X15] :
( ~ member(X14,X15)
| ~ member(X14,X16)
| ~ member(X14,complement(universal_class)) ),
inference(resolution,[],[f4448,f24]) ).
fof(f6939,plain,
! [X8,X6,X7] :
( ~ member(X8,X7)
| member(X8,null_class)
| ~ member(X8,unordered_pair(X6,X7))
| null_class = unordered_pair(X6,X7)
| regular(unordered_pair(X6,X7)) = X6 ),
inference(duplicate_literal_removal,[],[f6931]) ).
fof(f6931,plain,
! [X8,X6,X7] :
( ~ member(X8,X7)
| member(X8,null_class)
| ~ member(X8,unordered_pair(X6,X7))
| null_class = unordered_pair(X6,X7)
| regular(unordered_pair(X6,X7)) = X6
| null_class = unordered_pair(X6,X7) ),
inference(superposition,[],[f424,f414]) ).
fof(f414,plain,
! [X6,X7] :
( regular(unordered_pair(X6,X7)) = X7
| regular(unordered_pair(X6,X7)) = X6
| null_class = unordered_pair(X6,X7) ),
inference(resolution,[],[f8,f66]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X0 = X2
| X1 = X2 ),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',unordered_pair_member) ).
fof(f424,plain,
! [X0,X1] :
( ~ member(X1,regular(X0))
| member(X1,null_class)
| ~ member(X1,X0)
| null_class = X0 ),
inference(superposition,[],[f23,f67]) ).
fof(f67,axiom,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',regularity2) ).
fof(f671398,plain,
! [X4,X5] :
( ~ member(X5,regular(X4))
| ~ member(X5,X4)
| null_class = X4 ),
inference(subsumption_resolution,[],[f671151,f4448]) ).
fof(f671151,plain,
! [X4,X5] :
( ~ member(X5,universal_class)
| ~ member(X5,regular(X4))
| ~ member(X5,X4)
| null_class = X4 ),
inference(backward_demodulation,[],[f2290,f50605]) ).
fof(f2290,plain,
! [X4,X5] :
( ~ member(X5,regular(X4))
| ~ member(X5,X4)
| ~ member(X5,complement(null_class))
| null_class = X4 ),
inference(superposition,[],[f422,f67]) ).
fof(f422,plain,
! [X10,X11,X12] :
( ~ member(X10,complement(intersection(X12,X11)))
| ~ member(X10,X12)
| ~ member(X10,X11) ),
inference(resolution,[],[f23,f24]) ).
fof(f786964,plain,
( member(universal_class,unordered_pair(sF1,universal_class))
| ~ spl8_215
| spl8_340
| spl8_660 ),
inference(subsumption_resolution,[],[f786940,f145222]) ).
fof(f786940,plain,
( member(universal_class,unordered_pair(sF1,universal_class))
| null_class = unordered_pair(sF1,universal_class)
| ~ spl8_215
| spl8_340 ),
inference(resolution,[],[f758193,f303828]) ).
fof(f303828,plain,
( ! [X3] :
( ~ member(X3,complement(unordered_pair(sF1,X3)))
| null_class = unordered_pair(sF1,X3) )
| spl8_340 ),
inference(resolution,[],[f259298,f13857]) ).
fof(f13857,plain,
! [X12,X13] :
( member(X12,universal_class)
| null_class = unordered_pair(X12,X13)
| ~ member(X13,complement(unordered_pair(X12,X13))) ),
inference(duplicate_literal_removal,[],[f13842]) ).
fof(f13842,plain,
! [X12,X13] :
( member(X12,universal_class)
| null_class = unordered_pair(X12,X13)
| null_class = unordered_pair(X12,X13)
| ~ member(X13,complement(unordered_pair(X12,X13))) ),
inference(superposition,[],[f1426,f6940]) ).
fof(f6940,plain,
! [X4,X5] :
( regular(unordered_pair(X4,X5)) = X4
| null_class = unordered_pair(X4,X5)
| ~ member(X5,complement(unordered_pair(X4,X5))) ),
inference(duplicate_literal_removal,[],[f6930]) ).
fof(f6930,plain,
! [X4,X5] :
( ~ member(X5,complement(unordered_pair(X4,X5)))
| null_class = unordered_pair(X4,X5)
| regular(unordered_pair(X4,X5)) = X4
| null_class = unordered_pair(X4,X5) ),
inference(superposition,[],[f195,f414]) ).
fof(f195,plain,
! [X0] :
( ~ member(regular(X0),complement(X0))
| null_class = X0 ),
inference(resolution,[],[f66,f24]) ).
fof(f259298,plain,
( ~ member(sF1,universal_class)
| spl8_340 ),
inference(resolution,[],[f51512,f10]) ).
fof(f51512,plain,
( ~ member(sF1,unordered_pair(y,sF1))
| spl8_340 ),
inference(avatar_component_clause,[],[f51511]) ).
fof(f51511,plain,
( spl8_340
<=> member(sF1,unordered_pair(y,sF1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_340])]) ).
fof(f758193,plain,
( ! [X2] :
( member(universal_class,complement(X2))
| member(universal_class,X2) )
| ~ spl8_215 ),
inference(resolution,[],[f14476,f25]) ).
fof(f947605,plain,
( spl8_356
| spl8_357 ),
inference(avatar_contradiction_clause,[],[f947604]) ).
fof(f947604,plain,
( $false
| spl8_356
| spl8_357 ),
inference(subsumption_resolution,[],[f947553,f55233]) ).
fof(f55233,plain,
( null_class != unordered_pair(universal_class,sF5)
| spl8_357 ),
inference(avatar_component_clause,[],[f55232]) ).
fof(f55232,plain,
( spl8_357
<=> null_class = unordered_pair(universal_class,sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_357])]) ).
fof(f947553,plain,
( null_class = unordered_pair(universal_class,sF5)
| spl8_356
| spl8_357 ),
inference(resolution,[],[f795894,f66]) ).
fof(f795894,plain,
( ! [X33] : ~ member(X33,unordered_pair(universal_class,sF5))
| spl8_356
| spl8_357 ),
inference(subsumption_resolution,[],[f795893,f4448]) ).
fof(f795893,plain,
( ! [X33] :
( ~ member(X33,universal_class)
| ~ member(X33,unordered_pair(universal_class,sF5)) )
| spl8_356
| spl8_357 ),
inference(subsumption_resolution,[],[f795811,f55233]) ).
fof(f795811,plain,
( ! [X33] :
( ~ member(X33,universal_class)
| ~ member(X33,unordered_pair(universal_class,sF5))
| null_class = unordered_pair(universal_class,sF5) )
| spl8_356
| spl8_357 ),
inference(superposition,[],[f671398,f787291]) ).
fof(f787291,plain,
( universal_class = regular(unordered_pair(universal_class,sF5))
| spl8_356
| spl8_357 ),
inference(subsumption_resolution,[],[f787288,f55233]) ).
fof(f787288,plain,
( null_class = unordered_pair(universal_class,sF5)
| universal_class = regular(unordered_pair(universal_class,sF5))
| spl8_356 ),
inference(resolution,[],[f55229,f6942]) ).
fof(f6942,plain,
! [X0,X1] :
( member(X1,unordered_pair(X0,X1))
| unordered_pair(X0,X1) = null_class
| regular(unordered_pair(X0,X1)) = X0 ),
inference(duplicate_literal_removal,[],[f6928]) ).
fof(f6928,plain,
! [X0,X1] :
( member(X1,unordered_pair(X0,X1))
| unordered_pair(X0,X1) = null_class
| regular(unordered_pair(X0,X1)) = X0
| unordered_pair(X0,X1) = null_class ),
inference(superposition,[],[f66,f414]) ).
fof(f55229,plain,
( ~ member(sF5,unordered_pair(universal_class,sF5))
| spl8_356 ),
inference(avatar_component_clause,[],[f55228]) ).
fof(f55228,plain,
( spl8_356
<=> member(sF5,unordered_pair(universal_class,sF5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_356])]) ).
fof(f944238,plain,
( ~ spl8_215
| ~ spl8_224
| spl8_304
| ~ spl8_342
| ~ spl8_356
| spl8_357 ),
inference(avatar_contradiction_clause,[],[f944237]) ).
fof(f944237,plain,
( $false
| ~ spl8_215
| ~ spl8_224
| spl8_304
| ~ spl8_342
| ~ spl8_356
| spl8_357 ),
inference(subsumption_resolution,[],[f944236,f14476]) ).
fof(f944236,plain,
( ~ member(universal_class,universal_class)
| ~ spl8_224
| spl8_304
| ~ spl8_342
| ~ spl8_356
| spl8_357 ),
inference(subsumption_resolution,[],[f944163,f786994]) ).
fof(f786994,plain,
( member(universal_class,sF5)
| ~ spl8_224
| spl8_304 ),
inference(subsumption_resolution,[],[f786992,f33578]) ).
fof(f33578,plain,
( null_class != unordered_pair(universal_class,universal_class)
| spl8_304 ),
inference(avatar_component_clause,[],[f33577]) ).
fof(f33577,plain,
( spl8_304
<=> null_class = unordered_pair(universal_class,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_304])]) ).
fof(f786992,plain,
( member(universal_class,sF5)
| null_class = unordered_pair(universal_class,universal_class)
| ~ spl8_224 ),
inference(resolution,[],[f786982,f584062]) ).
fof(f584062,plain,
! [X65] :
( member(X65,sF4)
| member(X65,sF5)
| null_class = unordered_pair(X65,X65) ),
inference(superposition,[],[f12113,f186]) ).
fof(f186,plain,
complement(sF4) = sF5,
introduced(function_definition,[]) ).
fof(f12113,plain,
! [X4,X5] :
( member(X4,complement(X5))
| member(X4,X5)
| null_class = unordered_pair(X4,X4) ),
inference(resolution,[],[f12104,f25]) ).
fof(f12104,plain,
! [X6] :
( member(X6,universal_class)
| null_class = unordered_pair(X6,X6) ),
inference(duplicate_literal_removal,[],[f12089]) ).
fof(f12089,plain,
! [X6] :
( member(X6,universal_class)
| null_class = unordered_pair(X6,X6)
| null_class = unordered_pair(X6,X6) ),
inference(superposition,[],[f1426,f10684]) ).
fof(f10684,plain,
! [X0] :
( regular(unordered_pair(X0,X0)) = X0
| unordered_pair(X0,X0) = null_class ),
inference(equality_resolution,[],[f6935]) ).
fof(f6935,plain,
! [X0,X1] :
( X0 != X1
| regular(unordered_pair(X0,X1)) = X0
| unordered_pair(X0,X1) = null_class ),
inference(equality_factoring,[],[f414]) ).
fof(f786982,plain,
( ~ member(universal_class,sF4)
| ~ spl8_224 ),
inference(forward_demodulation,[],[f786981,f185]) ).
fof(f185,plain,
complement(y) = sF4,
introduced(function_definition,[]) ).
fof(f786981,plain,
( ~ member(universal_class,complement(y))
| ~ spl8_224 ),
inference(resolution,[],[f14964,f24]) ).
fof(f14964,plain,
( member(universal_class,y)
| ~ spl8_224 ),
inference(avatar_component_clause,[],[f14962]) ).
fof(f14962,plain,
( spl8_224
<=> member(universal_class,y) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_224])]) ).
fof(f944163,plain,
( ~ member(universal_class,sF5)
| ~ member(universal_class,universal_class)
| ~ spl8_342
| ~ spl8_356
| spl8_357 ),
inference(resolution,[],[f914074,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',unordered_pair2) ).
fof(f914074,plain,
( ! [X170] :
( ~ member(X170,unordered_pair(universal_class,sF5))
| ~ member(X170,sF5) )
| ~ spl8_342
| ~ spl8_356
| spl8_357 ),
inference(subsumption_resolution,[],[f914073,f55233]) ).
fof(f914073,plain,
( ! [X170] :
( null_class = unordered_pair(universal_class,sF5)
| ~ member(X170,unordered_pair(universal_class,sF5))
| ~ member(X170,sF5) )
| ~ spl8_342
| ~ spl8_356 ),
inference(subsumption_resolution,[],[f913791,f51558]) ).
fof(f51558,plain,
( member(sF5,universal_class)
| ~ spl8_342 ),
inference(resolution,[],[f51547,f4]) ).
fof(f51547,plain,
( ! [X0] :
( ~ subclass(unordered_pair(y,sF5),X0)
| member(sF5,X0) )
| ~ spl8_342 ),
inference(resolution,[],[f51539,f1]) ).
fof(f51539,plain,
( member(sF5,unordered_pair(y,sF5))
| ~ spl8_342 ),
inference(avatar_component_clause,[],[f51537]) ).
fof(f51537,plain,
( spl8_342
<=> member(sF5,unordered_pair(y,sF5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_342])]) ).
fof(f913791,plain,
( ! [X170] :
( ~ member(sF5,universal_class)
| null_class = unordered_pair(universal_class,sF5)
| ~ member(X170,unordered_pair(universal_class,sF5))
| ~ member(X170,sF5) )
| ~ spl8_356 ),
inference(resolution,[],[f672316,f55230]) ).
fof(f55230,plain,
( member(sF5,unordered_pair(universal_class,sF5))
| ~ spl8_356 ),
inference(avatar_component_clause,[],[f55228]) ).
fof(f943054,plain,
( ~ spl8_215
| ~ spl8_225
| ~ spl8_340
| ~ spl8_354
| spl8_355 ),
inference(avatar_contradiction_clause,[],[f943053]) ).
fof(f943053,plain,
( $false
| ~ spl8_215
| ~ spl8_225
| ~ spl8_340
| ~ spl8_354
| spl8_355 ),
inference(subsumption_resolution,[],[f943052,f14476]) ).
fof(f943052,plain,
( ~ member(universal_class,universal_class)
| ~ spl8_225
| ~ spl8_340
| ~ spl8_354
| spl8_355 ),
inference(subsumption_resolution,[],[f942979,f14968]) ).
fof(f942979,plain,
( ~ member(universal_class,sF1)
| ~ member(universal_class,universal_class)
| ~ spl8_340
| ~ spl8_354
| spl8_355 ),
inference(resolution,[],[f914072,f9]) ).
fof(f914072,plain,
( ! [X167] :
( ~ member(X167,unordered_pair(universal_class,sF1))
| ~ member(X167,sF1) )
| ~ spl8_340
| ~ spl8_354
| spl8_355 ),
inference(subsumption_resolution,[],[f914071,f55207]) ).
fof(f55207,plain,
( null_class != unordered_pair(universal_class,sF1)
| spl8_355 ),
inference(avatar_component_clause,[],[f55206]) ).
fof(f55206,plain,
( spl8_355
<=> null_class = unordered_pair(universal_class,sF1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_355])]) ).
fof(f914071,plain,
( ! [X167] :
( null_class = unordered_pair(universal_class,sF1)
| ~ member(X167,unordered_pair(universal_class,sF1))
| ~ member(X167,sF1) )
| ~ spl8_340
| ~ spl8_354 ),
inference(subsumption_resolution,[],[f913788,f51534]) ).
fof(f51534,plain,
( member(sF1,universal_class)
| ~ spl8_340 ),
inference(resolution,[],[f51521,f4]) ).
fof(f51521,plain,
( ! [X0] :
( ~ subclass(unordered_pair(y,sF1),X0)
| member(sF1,X0) )
| ~ spl8_340 ),
inference(resolution,[],[f51513,f1]) ).
fof(f51513,plain,
( member(sF1,unordered_pair(y,sF1))
| ~ spl8_340 ),
inference(avatar_component_clause,[],[f51511]) ).
fof(f913788,plain,
( ! [X167] :
( ~ member(sF1,universal_class)
| null_class = unordered_pair(universal_class,sF1)
| ~ member(X167,unordered_pair(universal_class,sF1))
| ~ member(X167,sF1) )
| ~ spl8_354 ),
inference(resolution,[],[f672316,f55204]) ).
fof(f55204,plain,
( member(sF1,unordered_pair(universal_class,sF1))
| ~ spl8_354 ),
inference(avatar_component_clause,[],[f55202]) ).
fof(f55202,plain,
( spl8_354
<=> member(sF1,unordered_pair(universal_class,sF1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_354])]) ).
fof(f905531,plain,
( ~ spl8_215
| ~ spl8_304 ),
inference(avatar_contradiction_clause,[],[f905530]) ).
fof(f905530,plain,
( $false
| ~ spl8_215
| ~ spl8_304 ),
inference(subsumption_resolution,[],[f757950,f14476]) ).
fof(f757950,plain,
( ~ member(universal_class,universal_class)
| ~ spl8_304 ),
inference(forward_demodulation,[],[f757949,f50605]) ).
fof(f757949,plain,
( ~ member(universal_class,complement(null_class))
| ~ spl8_304 ),
inference(subsumption_resolution,[],[f53747,f4448]) ).
fof(f53747,plain,
( ~ member(universal_class,complement(null_class))
| ~ member(universal_class,universal_class)
| ~ spl8_304 ),
inference(superposition,[],[f197,f33579]) ).
fof(f33579,plain,
( null_class = unordered_pair(universal_class,universal_class)
| ~ spl8_304 ),
inference(avatar_component_clause,[],[f33577]) ).
fof(f902817,plain,
( ~ spl8_217
| ~ spl8_304
| spl8_689
| ~ spl8_690
| ~ spl8_1258 ),
inference(avatar_contradiction_clause,[],[f902816]) ).
fof(f902816,plain,
( $false
| ~ spl8_217
| ~ spl8_304
| spl8_689
| ~ spl8_690
| ~ spl8_1258 ),
inference(subsumption_resolution,[],[f898859,f756605]) ).
fof(f756605,plain,
( member(null_class,sF5)
| ~ spl8_1258 ),
inference(avatar_component_clause,[],[f756603]) ).
fof(f756603,plain,
( spl8_1258
<=> member(null_class,sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1258])]) ).
fof(f898859,plain,
( ~ member(null_class,sF5)
| ~ spl8_217
| ~ spl8_304
| spl8_689
| ~ spl8_690 ),
inference(backward_demodulation,[],[f153547,f745910]) ).
fof(f745910,plain,
( null_class = not_subclass_element(y,sF5)
| ~ spl8_217
| ~ spl8_304
| spl8_689
| ~ spl8_690 ),
inference(resolution,[],[f643535,f66]) ).
fof(f643535,plain,
( ! [X567] : ~ member(X567,not_subclass_element(y,sF5))
| ~ spl8_217
| ~ spl8_304
| spl8_689
| ~ spl8_690 ),
inference(subsumption_resolution,[],[f643534,f166867]) ).
fof(f166867,plain,
( member(not_subclass_element(y,sF5),universal_class)
| ~ spl8_690 ),
inference(resolution,[],[f166559,f4]) ).
fof(f166559,plain,
( ! [X1] :
( ~ subclass(y,X1)
| member(not_subclass_element(y,sF5),X1) )
| ~ spl8_690 ),
inference(resolution,[],[f166122,f1]) ).
fof(f166122,plain,
( member(not_subclass_element(y,sF5),y)
| ~ spl8_690 ),
inference(avatar_component_clause,[],[f166120]) ).
fof(f166120,plain,
( spl8_690
<=> member(not_subclass_element(y,sF5),y) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_690])]) ).
fof(f643534,plain,
( ! [X567] :
( ~ member(X567,not_subclass_element(y,sF5))
| ~ member(not_subclass_element(y,sF5),universal_class) )
| ~ spl8_217
| ~ spl8_304
| spl8_689
| ~ spl8_690 ),
inference(subsumption_resolution,[],[f642799,f53799]) ).
fof(f53799,plain,
( ! [X6,X7,X5] : ~ member(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,null_class)),cross_product(X6,X7))
| ~ spl8_217
| ~ spl8_304 ),
inference(subsumption_resolution,[],[f53569,f14819]) ).
fof(f14819,plain,
( ! [X1] : ~ member(universal_class,X1)
| ~ spl8_217 ),
inference(avatar_component_clause,[],[f14818]) ).
fof(f14818,plain,
( spl8_217
<=> ! [X1] : ~ member(universal_class,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_217])]) ).
fof(f53569,plain,
( ! [X6,X7,X5] :
( ~ member(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,null_class)),cross_product(X6,X7))
| member(universal_class,X7) )
| ~ spl8_304 ),
inference(superposition,[],[f141,f33579]) ).
fof(f141,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1))
| member(X3,X1) ),
inference(definition_unfolding,[],[f15,f118]) ).
fof(f118,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',ordered_pair) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( member(X3,X1)
| ~ member(ordered_pair(X2,X3),cross_product(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',cartesian_product2) ).
fof(f642799,plain,
( ! [X567] :
( member(unordered_pair(unordered_pair(X567,X567),unordered_pair(X567,null_class)),cross_product(universal_class,universal_class))
| ~ member(X567,not_subclass_element(y,sF5))
| ~ member(not_subclass_element(y,sF5),universal_class) )
| spl8_689
| ~ spl8_690 ),
inference(superposition,[],[f16345,f642573]) ).
fof(f642573,plain,
( null_class = unordered_pair(not_subclass_element(y,sF5),not_subclass_element(y,sF5))
| spl8_689
| ~ spl8_690 ),
inference(subsumption_resolution,[],[f642396,f153547]) ).
fof(f642396,plain,
( member(not_subclass_element(y,sF5),sF5)
| null_class = unordered_pair(not_subclass_element(y,sF5),not_subclass_element(y,sF5))
| ~ spl8_690 ),
inference(resolution,[],[f584062,f586764]) ).
fof(f586764,plain,
( ~ member(not_subclass_element(y,sF5),sF4)
| ~ spl8_690 ),
inference(forward_demodulation,[],[f586763,f185]) ).
fof(f586763,plain,
( ~ member(not_subclass_element(y,sF5),complement(y))
| ~ spl8_690 ),
inference(resolution,[],[f166122,f24]) ).
fof(f16345,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
| ~ member(X1,X0)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f7001,f18]) ).
fof(f18,axiom,
subclass(element_relation,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',element_relation1) ).
fof(f7001,plain,
! [X14,X12,X13] :
( ~ subclass(element_relation,X14)
| ~ member(X13,universal_class)
| ~ member(X12,X13)
| member(unordered_pair(unordered_pair(X12,X12),unordered_pair(X12,unordered_pair(X13,X13))),X14) ),
inference(resolution,[],[f5981,f1]) ).
fof(f5981,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
| ~ member(X0,X1)
| ~ member(X1,universal_class) ),
inference(subsumption_resolution,[],[f998,f4448]) ).
fof(f998,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
| ~ member(X0,X1)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f163,f162]) ).
fof(f162,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1))
| ~ member(X3,X1)
| ~ member(X2,X0) ),
inference(definition_unfolding,[],[f16,f118]) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ member(X2,X0)
| ~ member(X3,X1)
| member(ordered_pair(X2,X3),cross_product(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',cartesian_product3) ).
fof(f163,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
| ~ member(X0,X1) ),
inference(definition_unfolding,[],[f20,f118,f118]) ).
fof(f20,axiom,
! [X0,X1] :
( ~ member(X0,X1)
| member(ordered_pair(X0,X1),element_relation)
| ~ member(ordered_pair(X0,X1),cross_product(universal_class,universal_class)) ),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',element_relation3) ).
fof(f153547,plain,
( ~ member(not_subclass_element(y,sF5),sF5)
| spl8_689 ),
inference(avatar_component_clause,[],[f153545]) ).
fof(f153545,plain,
( spl8_689
<=> member(not_subclass_element(y,sF5),sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_689])]) ).
fof(f898951,plain,
( ~ spl8_38
| ~ spl8_217
| ~ spl8_304
| spl8_689
| ~ spl8_690 ),
inference(avatar_contradiction_clause,[],[f898950]) ).
fof(f898950,plain,
( $false
| ~ spl8_38
| ~ spl8_217
| ~ spl8_304
| spl8_689
| ~ spl8_690 ),
inference(subsumption_resolution,[],[f898862,f652]) ).
fof(f652,plain,
( member(null_class,sF4)
| ~ spl8_38 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f650,plain,
( spl8_38
<=> member(null_class,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_38])]) ).
fof(f898862,plain,
( ~ member(null_class,sF4)
| ~ spl8_217
| ~ spl8_304
| spl8_689
| ~ spl8_690 ),
inference(backward_demodulation,[],[f586764,f745910]) ).
fof(f898734,plain,
( ~ spl8_1183
| ~ spl8_972
| spl8_1050
| ~ spl8_1122 ),
inference(avatar_split_clause,[],[f592656,f573294,f485650,f346930,f645265]) ).
fof(f645265,plain,
( spl8_1183
<=> member(not_subclass_element(sF0,sF6),sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1183])]) ).
fof(f346930,plain,
( spl8_972
<=> member(not_subclass_element(sF0,sF6),sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_972])]) ).
fof(f485650,plain,
( spl8_1050
<=> sF0 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1050])]) ).
fof(f573294,plain,
( spl8_1122
<=> member(not_subclass_element(sF6,sF0),sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1122])]) ).
fof(f592656,plain,
( ~ member(not_subclass_element(sF0,sF6),sF5)
| ~ spl8_972
| spl8_1050
| ~ spl8_1122 ),
inference(subsumption_resolution,[],[f592589,f588701]) ).
fof(f588701,plain,
( ~ subclass(sF0,sF6)
| spl8_1050
| ~ spl8_1122 ),
inference(subsumption_resolution,[],[f588684,f485651]) ).
fof(f485651,plain,
( sF0 != sF6
| spl8_1050 ),
inference(avatar_component_clause,[],[f485650]) ).
fof(f588684,plain,
( ~ subclass(sF0,sF6)
| sF0 = sF6
| ~ spl8_1122 ),
inference(resolution,[],[f588657,f7]) ).
fof(f588657,plain,
( subclass(sF6,sF0)
| ~ spl8_1122 ),
inference(resolution,[],[f573296,f3]) ).
fof(f573296,plain,
( member(not_subclass_element(sF6,sF0),sF0)
| ~ spl8_1122 ),
inference(avatar_component_clause,[],[f573294]) ).
fof(f592589,plain,
( subclass(sF0,sF6)
| ~ member(not_subclass_element(sF0,sF6),sF5)
| ~ spl8_972 ),
inference(resolution,[],[f5336,f346931]) ).
fof(f346931,plain,
( member(not_subclass_element(sF0,sF6),sF3)
| ~ spl8_972 ),
inference(avatar_component_clause,[],[f346930]) ).
fof(f5336,plain,
! [X20] :
( ~ member(not_subclass_element(X20,sF6),sF3)
| subclass(X20,sF6)
| ~ member(not_subclass_element(X20,sF6),sF5) ),
inference(forward_demodulation,[],[f5335,f187]) ).
fof(f187,plain,
intersection(sF3,sF5) = sF6,
introduced(function_definition,[]) ).
fof(f5335,plain,
! [X20] :
( ~ member(not_subclass_element(X20,sF6),sF3)
| ~ member(not_subclass_element(X20,sF6),sF5)
| subclass(X20,intersection(sF3,sF5)) ),
inference(forward_demodulation,[],[f5270,f187]) ).
fof(f5270,plain,
! [X20] :
( ~ member(not_subclass_element(X20,sF6),sF5)
| ~ member(not_subclass_element(X20,intersection(sF3,sF5)),sF3)
| subclass(X20,intersection(sF3,sF5)) ),
inference(superposition,[],[f423,f187]) ).
fof(f423,plain,
! [X14,X15,X13] :
( ~ member(not_subclass_element(X13,intersection(X14,X15)),X15)
| ~ member(not_subclass_element(X13,intersection(X14,X15)),X14)
| subclass(X13,intersection(X14,X15)) ),
inference(resolution,[],[f23,f3]) ).
fof(f882601,plain,
( spl8_972
| spl8_1050
| ~ spl8_1122
| spl8_1184 ),
inference(avatar_contradiction_clause,[],[f882600]) ).
fof(f882600,plain,
( $false
| spl8_972
| spl8_1050
| ~ spl8_1122
| spl8_1184 ),
inference(subsumption_resolution,[],[f882599,f745840]) ).
fof(f745840,plain,
( member(not_subclass_element(sF0,sF6),universal_class)
| spl8_1184 ),
inference(resolution,[],[f745670,f2321]) ).
fof(f2321,plain,
! [X3] :
( ~ member(X3,sF0)
| member(X3,universal_class) ),
inference(resolution,[],[f283,f4]) ).
fof(f283,plain,
! [X16,X17] :
( ~ subclass(y,X16)
| member(X17,X16)
| ~ member(X17,sF0) ),
inference(resolution,[],[f1,f209]) ).
fof(f209,plain,
! [X0] :
( member(X0,y)
| ~ member(X0,sF0) ),
inference(superposition,[],[f22,f181]) ).
fof(f181,plain,
intersection(x,y) = sF0,
introduced(function_definition,[]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',intersection2) ).
fof(f745670,plain,
( member(not_subclass_element(sF0,sF6),sF0)
| spl8_1184 ),
inference(resolution,[],[f645270,f2]) ).
fof(f645270,plain,
( ~ subclass(sF0,sF6)
| spl8_1184 ),
inference(avatar_component_clause,[],[f645269]) ).
fof(f645269,plain,
( spl8_1184
<=> subclass(sF0,sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1184])]) ).
fof(f882599,plain,
( ~ member(not_subclass_element(sF0,sF6),universal_class)
| spl8_972
| spl8_1050
| ~ spl8_1122
| spl8_1184 ),
inference(forward_demodulation,[],[f882598,f50605]) ).
fof(f882598,plain,
( ~ member(not_subclass_element(sF0,sF6),complement(null_class))
| spl8_972
| spl8_1050
| ~ spl8_1122
| spl8_1184 ),
inference(subsumption_resolution,[],[f881482,f745840]) ).
fof(f881482,plain,
( ~ member(not_subclass_element(sF0,sF6),complement(null_class))
| ~ member(not_subclass_element(sF0,sF6),universal_class)
| spl8_972
| spl8_1050
| ~ spl8_1122 ),
inference(superposition,[],[f197,f823023]) ).
fof(f823023,plain,
( null_class = unordered_pair(not_subclass_element(sF0,sF6),not_subclass_element(sF0,sF6))
| spl8_972
| spl8_1050
| ~ spl8_1122 ),
inference(subsumption_resolution,[],[f823022,f615412]) ).
fof(f615412,plain,
( ~ member(not_subclass_element(sF0,sF6),sF2)
| spl8_1050
| ~ spl8_1122 ),
inference(forward_demodulation,[],[f615411,f183]) ).
fof(f183,plain,
complement(x) = sF2,
introduced(function_definition,[]) ).
fof(f615411,plain,
( ~ member(not_subclass_element(sF0,sF6),complement(x))
| spl8_1050
| ~ spl8_1122 ),
inference(resolution,[],[f615405,f24]) ).
fof(f615405,plain,
( member(not_subclass_element(sF0,sF6),x)
| spl8_1050
| ~ spl8_1122 ),
inference(resolution,[],[f589139,f177]) ).
fof(f177,plain,
! [X1] : subclass(X1,X1),
inference(equality_resolution,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( X0 != X1
| subclass(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',equal_implies_subclass2) ).
fof(f589139,plain,
( ! [X1] :
( ~ subclass(x,X1)
| member(not_subclass_element(sF0,sF6),X1) )
| spl8_1050
| ~ spl8_1122 ),
inference(resolution,[],[f588702,f282]) ).
fof(f282,plain,
! [X14,X15] :
( ~ member(X15,sF0)
| member(X15,X14)
| ~ subclass(x,X14) ),
inference(resolution,[],[f1,f200]) ).
fof(f200,plain,
! [X0] :
( member(X0,x)
| ~ member(X0,sF0) ),
inference(superposition,[],[f21,f181]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',intersection1) ).
fof(f588702,plain,
( member(not_subclass_element(sF0,sF6),sF0)
| spl8_1050
| ~ spl8_1122 ),
inference(subsumption_resolution,[],[f588686,f485651]) ).
fof(f588686,plain,
( sF0 = sF6
| member(not_subclass_element(sF0,sF6),sF0)
| ~ spl8_1122 ),
inference(resolution,[],[f588657,f289]) ).
fof(f289,plain,
! [X2,X1] :
( ~ subclass(X1,X2)
| X1 = X2
| member(not_subclass_element(X2,X1),X2) ),
inference(resolution,[],[f7,f2]) ).
fof(f823022,plain,
( member(not_subclass_element(sF0,sF6),sF2)
| null_class = unordered_pair(not_subclass_element(sF0,sF6),not_subclass_element(sF0,sF6))
| spl8_972 ),
inference(resolution,[],[f346932,f205514]) ).
fof(f205514,plain,
! [X61] :
( member(X61,sF3)
| member(X61,sF2)
| null_class = unordered_pair(X61,X61) ),
inference(superposition,[],[f12113,f184]) ).
fof(f184,plain,
complement(sF2) = sF3,
introduced(function_definition,[]) ).
fof(f346932,plain,
( ~ member(not_subclass_element(sF0,sF6),sF3)
| spl8_972 ),
inference(avatar_component_clause,[],[f346930]) ).
fof(f841070,plain,
( ~ spl8_340
| ~ spl8_355 ),
inference(avatar_contradiction_clause,[],[f841069]) ).
fof(f841069,plain,
( $false
| ~ spl8_340
| ~ spl8_355 ),
inference(subsumption_resolution,[],[f841068,f51534]) ).
fof(f841068,plain,
( ~ member(sF1,universal_class)
| ~ spl8_355 ),
inference(forward_demodulation,[],[f300828,f50605]) ).
fof(f300828,plain,
( ~ member(sF1,complement(null_class))
| ~ spl8_355 ),
inference(subsumption_resolution,[],[f267798,f4448]) ).
fof(f267798,plain,
( ~ member(sF1,complement(null_class))
| ~ member(sF1,universal_class)
| ~ spl8_355 ),
inference(superposition,[],[f197,f55208]) ).
fof(f55208,plain,
( null_class = unordered_pair(universal_class,sF1)
| ~ spl8_355 ),
inference(avatar_component_clause,[],[f55206]) ).
fof(f800262,plain,
( ~ spl8_340
| spl8_354 ),
inference(avatar_contradiction_clause,[],[f800261]) ).
fof(f800261,plain,
( $false
| ~ spl8_340
| spl8_354 ),
inference(subsumption_resolution,[],[f800258,f51534]) ).
fof(f800258,plain,
( ~ member(sF1,universal_class)
| spl8_354 ),
inference(resolution,[],[f55203,f10]) ).
fof(f55203,plain,
( ~ member(sF1,unordered_pair(universal_class,sF1))
| spl8_354 ),
inference(avatar_component_clause,[],[f55202]) ).
fof(f796196,plain,
( ~ spl8_215
| ~ spl8_357 ),
inference(avatar_contradiction_clause,[],[f796195]) ).
fof(f796195,plain,
( $false
| ~ spl8_215
| ~ spl8_357 ),
inference(subsumption_resolution,[],[f796194,f14476]) ).
fof(f796194,plain,
( ~ member(universal_class,universal_class)
| ~ spl8_215
| ~ spl8_357 ),
inference(forward_demodulation,[],[f796193,f50605]) ).
fof(f796193,plain,
( ~ member(universal_class,complement(null_class))
| ~ spl8_215
| ~ spl8_357 ),
inference(subsumption_resolution,[],[f796020,f14476]) ).
fof(f796020,plain,
( ~ member(universal_class,complement(null_class))
| ~ member(universal_class,universal_class)
| ~ spl8_357 ),
inference(superposition,[],[f196,f55234]) ).
fof(f55234,plain,
( null_class = unordered_pair(universal_class,sF5)
| ~ spl8_357 ),
inference(avatar_component_clause,[],[f55232]) ).
fof(f196,plain,
! [X0,X1] :
( ~ member(X0,complement(unordered_pair(X0,X1)))
| ~ member(X0,universal_class) ),
inference(resolution,[],[f9,f24]) ).
fof(f786970,plain,
( ~ spl8_215
| spl8_224
| spl8_225 ),
inference(avatar_contradiction_clause,[],[f786969]) ).
fof(f786969,plain,
( $false
| ~ spl8_215
| spl8_224
| spl8_225 ),
inference(subsumption_resolution,[],[f786968,f20640]) ).
fof(f20640,plain,
( ~ member(universal_class,sF0)
| spl8_224 ),
inference(resolution,[],[f209,f14963]) ).
fof(f14963,plain,
( ~ member(universal_class,y)
| spl8_224 ),
inference(avatar_component_clause,[],[f14962]) ).
fof(f786968,plain,
( member(universal_class,sF0)
| ~ spl8_215
| spl8_225 ),
inference(subsumption_resolution,[],[f786960,f14967]) ).
fof(f14967,plain,
( ~ member(universal_class,sF1)
| spl8_225 ),
inference(avatar_component_clause,[],[f14966]) ).
fof(f786960,plain,
( member(universal_class,sF1)
| member(universal_class,sF0)
| ~ spl8_215 ),
inference(superposition,[],[f758193,f182]) ).
fof(f182,plain,
complement(sF0) = sF1,
introduced(function_definition,[]) ).
fof(f758189,plain,
( spl8_38
| spl8_1258 ),
inference(avatar_split_clause,[],[f758188,f756603,f650]) ).
fof(f758188,plain,
( member(null_class,sF4)
| spl8_1258 ),
inference(subsumption_resolution,[],[f3063,f756604]) ).
fof(f756604,plain,
( ~ member(null_class,sF5)
| spl8_1258 ),
inference(avatar_component_clause,[],[f756603]) ).
fof(f3063,plain,
( member(null_class,sF5)
| member(null_class,sF4) ),
inference(superposition,[],[f1846,f186]) ).
fof(f1846,plain,
! [X3] :
( member(null_class,complement(X3))
| member(null_class,X3) ),
inference(subsumption_resolution,[],[f1831,f799]) ).
fof(f799,plain,
inductive(universal_class),
inference(subsumption_resolution,[],[f797,f594]) ).
fof(f594,plain,
member(null_class,universal_class),
inference(resolution,[],[f590,f4]) ).
fof(f590,plain,
! [X0] :
( ~ subclass(omega,X0)
| member(null_class,X0) ),
inference(resolution,[],[f276,f50]) ).
fof(f50,axiom,
inductive(omega),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',omega_is_inductive1) ).
fof(f276,plain,
! [X0,X1] :
( ~ inductive(X0)
| member(null_class,X1)
| ~ subclass(X0,X1) ),
inference(resolution,[],[f1,f47]) ).
fof(f47,axiom,
! [X0] :
( member(null_class,X0)
| ~ inductive(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',inductive1) ).
fof(f797,plain,
( inductive(universal_class)
| ~ member(null_class,universal_class) ),
inference(resolution,[],[f755,f4]) ).
fof(f755,plain,
! [X0] :
( ~ subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X0,universal_class)),universal_class)))),X0)
| inductive(X0)
| ~ member(null_class,X0) ),
inference(forward_demodulation,[],[f160,f129]) ).
fof(f129,plain,
! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = intersection(cross_product(X0,X1),X5),
inference(definition_unfolding,[],[f28,f29]) ).
fof(f29,axiom,
! [X0,X1,X5] : restrict(X5,X0,X1) = intersection(cross_product(X0,X1),X5),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',restriction2) ).
fof(f28,axiom,
! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = restrict(X5,X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',restriction1) ).
fof(f160,plain,
! [X0] :
( inductive(X0)
| ~ member(null_class,X0)
| ~ subclass(domain_of(domain_of(flip(cross_product(intersection(cross_product(X0,universal_class),successor_relation),universal_class)))),X0) ),
inference(definition_unfolding,[],[f49,f116]) ).
fof(f116,plain,
! [X0,X5] : image(X5,X0) = domain_of(domain_of(flip(cross_product(intersection(cross_product(X0,universal_class),X5),universal_class)))),
inference(definition_unfolding,[],[f42,f115,f29]) ).
fof(f115,plain,
! [X4] : range_of(X4) = domain_of(domain_of(flip(cross_product(X4,universal_class)))),
inference(definition_unfolding,[],[f39,f38]) ).
fof(f38,axiom,
! [X1] : domain_of(flip(cross_product(X1,universal_class))) = inverse(X1),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',inverse) ).
fof(f39,axiom,
! [X4] : domain_of(inverse(X4)) = range_of(X4),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',range_of) ).
fof(f42,axiom,
! [X0,X5] : range_of(restrict(X5,X0,universal_class)) = image(X5,X0),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',image) ).
fof(f49,axiom,
! [X0] :
( inductive(X0)
| ~ member(null_class,X0)
| ~ subclass(image(successor_relation,X0),X0) ),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',inductive3) ).
fof(f1831,plain,
! [X3] :
( ~ inductive(universal_class)
| member(null_class,X3)
| member(null_class,complement(X3)) ),
inference(resolution,[],[f47,f25]) ).
fof(f745848,plain,
( ~ spl8_689
| spl8_1183
| spl8_1184 ),
inference(avatar_contradiction_clause,[],[f745847]) ).
fof(f745847,plain,
( $false
| ~ spl8_689
| spl8_1183
| spl8_1184 ),
inference(subsumption_resolution,[],[f745843,f645267]) ).
fof(f645267,plain,
( ~ member(not_subclass_element(sF0,sF6),sF5)
| spl8_1183 ),
inference(avatar_component_clause,[],[f645265]) ).
fof(f745843,plain,
( member(not_subclass_element(sF0,sF6),sF5)
| ~ spl8_689
| spl8_1184 ),
inference(resolution,[],[f745670,f666935]) ).
fof(f666935,plain,
( ! [X0] :
( ~ member(X0,sF0)
| member(X0,sF5) )
| ~ spl8_689 ),
inference(resolution,[],[f157833,f283]) ).
fof(f157833,plain,
( subclass(y,sF5)
| ~ spl8_689 ),
inference(resolution,[],[f153546,f3]) ).
fof(f153546,plain,
( member(not_subclass_element(y,sF5),sF5)
| ~ spl8_689 ),
inference(avatar_component_clause,[],[f153545]) ).
fof(f745660,plain,
( spl8_1050
| ~ spl8_1122
| ~ spl8_1184 ),
inference(avatar_contradiction_clause,[],[f745659]) ).
fof(f745659,plain,
( $false
| spl8_1050
| ~ spl8_1122
| ~ spl8_1184 ),
inference(subsumption_resolution,[],[f588657,f645332]) ).
fof(f645332,plain,
( ~ subclass(sF6,sF0)
| spl8_1050
| ~ spl8_1184 ),
inference(subsumption_resolution,[],[f645315,f485651]) ).
fof(f645315,plain,
( ~ subclass(sF6,sF0)
| sF0 = sF6
| ~ spl8_1184 ),
inference(resolution,[],[f645271,f7]) ).
fof(f645271,plain,
( subclass(sF0,sF6)
| ~ spl8_1184 ),
inference(avatar_component_clause,[],[f645269]) ).
fof(f745654,plain,
( ~ spl8_1049
| spl8_1123
| spl8_1147 ),
inference(avatar_contradiction_clause,[],[f745653]) ).
fof(f745653,plain,
( $false
| ~ spl8_1049
| spl8_1123
| spl8_1147 ),
inference(subsumption_resolution,[],[f745578,f623214]) ).
fof(f623214,plain,
( member(not_subclass_element(sF6,sF0),sF5)
| ~ spl8_1049
| spl8_1147 ),
inference(resolution,[],[f604523,f622391]) ).
fof(f622391,plain,
( ~ member(not_subclass_element(sF6,sF5),sF6)
| spl8_1147 ),
inference(avatar_component_clause,[],[f622390]) ).
fof(f622390,plain,
( spl8_1147
<=> member(not_subclass_element(sF6,sF5),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1147])]) ).
fof(f604523,plain,
( ! [X0] :
( member(not_subclass_element(sF6,X0),sF6)
| member(not_subclass_element(sF6,sF0),X0) )
| ~ spl8_1049 ),
inference(resolution,[],[f588638,f2]) ).
fof(f588638,plain,
( ! [X1] :
( ~ subclass(sF6,X1)
| member(not_subclass_element(sF6,sF0),X1) )
| ~ spl8_1049 ),
inference(resolution,[],[f485648,f1]) ).
fof(f485648,plain,
( member(not_subclass_element(sF6,sF0),sF6)
| ~ spl8_1049 ),
inference(avatar_component_clause,[],[f485646]) ).
fof(f485646,plain,
( spl8_1049
<=> member(not_subclass_element(sF6,sF0),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1049])]) ).
fof(f745578,plain,
( ~ member(not_subclass_element(sF6,sF0),sF5)
| ~ spl8_1049
| spl8_1123 ),
inference(forward_demodulation,[],[f745577,f186]) ).
fof(f745577,plain,
( ~ member(not_subclass_element(sF6,sF0),complement(sF4))
| ~ spl8_1049
| spl8_1123 ),
inference(resolution,[],[f745573,f24]) ).
fof(f745573,plain,
( member(not_subclass_element(sF6,sF0),sF4)
| ~ spl8_1049
| spl8_1123 ),
inference(subsumption_resolution,[],[f745565,f573300]) ).
fof(f573300,plain,
( ~ member(not_subclass_element(sF6,sF0),y)
| spl8_1123 ),
inference(avatar_component_clause,[],[f573298]) ).
fof(f573298,plain,
( spl8_1123
<=> member(not_subclass_element(sF6,sF0),y) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1123])]) ).
fof(f745565,plain,
( member(not_subclass_element(sF6,sF0),sF4)
| member(not_subclass_element(sF6,sF0),y)
| ~ spl8_1049 ),
inference(superposition,[],[f588645,f185]) ).
fof(f588645,plain,
( ! [X2] :
( member(not_subclass_element(sF6,sF0),complement(X2))
| member(not_subclass_element(sF6,sF0),X2) )
| ~ spl8_1049 ),
inference(resolution,[],[f490555,f25]) ).
fof(f490555,plain,
( member(not_subclass_element(sF6,sF0),universal_class)
| ~ spl8_1049 ),
inference(resolution,[],[f2339,f485648]) ).
fof(f2339,plain,
! [X3] :
( ~ member(X3,sF6)
| member(X3,universal_class) ),
inference(resolution,[],[f284,f4]) ).
fof(f284,plain,
! [X18,X19] :
( ~ subclass(sF3,X18)
| member(X19,X18)
| ~ member(X19,sF6) ),
inference(resolution,[],[f1,f201]) ).
fof(f201,plain,
! [X1] :
( member(X1,sF3)
| ~ member(X1,sF6) ),
inference(superposition,[],[f21,f187]) ).
fof(f745580,plain,
( ~ spl8_1049
| spl8_1123
| ~ spl8_1147 ),
inference(avatar_contradiction_clause,[],[f745579]) ).
fof(f745579,plain,
( $false
| ~ spl8_1049
| spl8_1123
| ~ spl8_1147 ),
inference(subsumption_resolution,[],[f745578,f648346]) ).
fof(f648346,plain,
( member(not_subclass_element(sF6,sF0),sF5)
| ~ spl8_1049
| ~ spl8_1147 ),
inference(resolution,[],[f648315,f588638]) ).
fof(f648315,plain,
( subclass(sF6,sF5)
| ~ spl8_1147 ),
inference(resolution,[],[f622392,f215]) ).
fof(f215,plain,
! [X1] :
( ~ member(not_subclass_element(X1,sF5),sF6)
| subclass(X1,sF5) ),
inference(resolution,[],[f210,f3]) ).
fof(f210,plain,
! [X1] :
( member(X1,sF5)
| ~ member(X1,sF6) ),
inference(superposition,[],[f22,f187]) ).
fof(f622392,plain,
( member(not_subclass_element(sF6,sF5),sF6)
| ~ spl8_1147 ),
inference(avatar_component_clause,[],[f622390]) ).
fof(f644409,plain,
( spl8_690
| ~ spl8_972
| spl8_1050
| ~ spl8_1122 ),
inference(avatar_contradiction_clause,[],[f644408]) ).
fof(f644408,plain,
( $false
| spl8_690
| ~ spl8_972
| spl8_1050
| ~ spl8_1122 ),
inference(subsumption_resolution,[],[f644402,f592656]) ).
fof(f644402,plain,
( member(not_subclass_element(sF0,sF6),sF5)
| spl8_690
| spl8_1050
| ~ spl8_1122 ),
inference(resolution,[],[f166121,f639428]) ).
fof(f639428,plain,
( ! [X0] :
( member(not_subclass_element(y,X0),y)
| member(not_subclass_element(sF0,sF6),X0) )
| spl8_1050
| ~ spl8_1122 ),
inference(resolution,[],[f639423,f2]) ).
fof(f639423,plain,
( ! [X1] :
( ~ subclass(y,X1)
| member(not_subclass_element(sF0,sF6),X1) )
| spl8_1050
| ~ spl8_1122 ),
inference(resolution,[],[f639415,f1]) ).
fof(f639415,plain,
( member(not_subclass_element(sF0,sF6),y)
| spl8_1050
| ~ spl8_1122 ),
inference(subsumption_resolution,[],[f639393,f589140]) ).
fof(f589140,plain,
( ! [X2] :
( ~ subclass(sF0,X2)
| member(not_subclass_element(sF0,sF6),X2) )
| spl8_1050
| ~ spl8_1122 ),
inference(resolution,[],[f588702,f1]) ).
fof(f639393,plain,
( member(not_subclass_element(sF0,sF6),y)
| subclass(sF0,y)
| spl8_1050
| ~ spl8_1122 ),
inference(resolution,[],[f615414,f212]) ).
fof(f212,plain,
! [X1] :
( ~ member(not_subclass_element(X1,y),sF0)
| subclass(X1,y) ),
inference(resolution,[],[f209,f3]) ).
fof(f615414,plain,
( ! [X0] :
( member(not_subclass_element(sF0,X0),sF0)
| member(not_subclass_element(sF0,sF6),X0) )
| spl8_1050
| ~ spl8_1122 ),
inference(resolution,[],[f589140,f2]) ).
fof(f166121,plain,
( ~ member(not_subclass_element(y,sF5),y)
| spl8_690 ),
inference(avatar_component_clause,[],[f166120]) ).
fof(f628154,plain,
( spl8_342
| ~ spl8_356 ),
inference(avatar_contradiction_clause,[],[f628153]) ).
fof(f628153,plain,
( $false
| spl8_342
| ~ spl8_356 ),
inference(subsumption_resolution,[],[f628150,f55249]) ).
fof(f55249,plain,
( member(sF5,universal_class)
| ~ spl8_356 ),
inference(resolution,[],[f55238,f4]) ).
fof(f55238,plain,
( ! [X0] :
( ~ subclass(unordered_pair(universal_class,sF5),X0)
| member(sF5,X0) )
| ~ spl8_356 ),
inference(resolution,[],[f55230,f1]) ).
fof(f628150,plain,
( ~ member(sF5,universal_class)
| spl8_342 ),
inference(resolution,[],[f51538,f10]) ).
fof(f51538,plain,
( ~ member(sF5,unordered_pair(y,sF5))
| spl8_342 ),
inference(avatar_component_clause,[],[f51537]) ).
fof(f588618,plain,
( ~ spl8_972
| spl8_1049
| spl8_1050 ),
inference(avatar_contradiction_clause,[],[f588617]) ).
fof(f588617,plain,
( $false
| ~ spl8_972
| spl8_1049
| spl8_1050 ),
inference(subsumption_resolution,[],[f588616,f485647]) ).
fof(f485647,plain,
( ~ member(not_subclass_element(sF6,sF0),sF6)
| spl8_1049 ),
inference(avatar_component_clause,[],[f485646]) ).
fof(f588616,plain,
( member(not_subclass_element(sF6,sF0),sF6)
| ~ spl8_972
| spl8_1049
| spl8_1050 ),
inference(subsumption_resolution,[],[f588600,f485651]) ).
fof(f588600,plain,
( sF0 = sF6
| member(not_subclass_element(sF6,sF0),sF6)
| ~ spl8_972
| spl8_1049
| spl8_1050 ),
inference(resolution,[],[f588559,f289]) ).
fof(f588559,plain,
( subclass(sF0,sF6)
| ~ spl8_972
| spl8_1049
| spl8_1050 ),
inference(resolution,[],[f588544,f3]) ).
fof(f588544,plain,
( member(not_subclass_element(sF0,sF6),sF6)
| ~ spl8_972
| spl8_1049
| spl8_1050 ),
inference(subsumption_resolution,[],[f587694,f584314]) ).
fof(f584314,plain,
( member(not_subclass_element(sF0,sF6),sF5)
| spl8_1049
| spl8_1050 ),
inference(subsumption_resolution,[],[f584248,f579203]) ).
fof(f579203,plain,
( ~ member(not_subclass_element(sF0,sF6),sF4)
| spl8_1049
| spl8_1050 ),
inference(forward_demodulation,[],[f579202,f185]) ).
fof(f579202,plain,
( ~ member(not_subclass_element(sF0,sF6),complement(y))
| spl8_1049
| spl8_1050 ),
inference(resolution,[],[f579191,f24]) ).
fof(f579191,plain,
( member(not_subclass_element(sF0,sF6),y)
| spl8_1049
| spl8_1050 ),
inference(subsumption_resolution,[],[f579168,f577386]) ).
fof(f577386,plain,
( ! [X2] :
( ~ subclass(sF0,X2)
| member(not_subclass_element(sF0,sF6),X2) )
| spl8_1049
| spl8_1050 ),
inference(resolution,[],[f572230,f1]) ).
fof(f572230,plain,
( member(not_subclass_element(sF0,sF6),sF0)
| spl8_1049
| spl8_1050 ),
inference(subsumption_resolution,[],[f572228,f485651]) ).
fof(f572228,plain,
( sF0 = sF6
| member(not_subclass_element(sF0,sF6),sF0)
| spl8_1049 ),
inference(resolution,[],[f485647,f1633]) ).
fof(f1633,plain,
! [X2,X1] :
( member(not_subclass_element(X2,X1),X2)
| X1 = X2
| member(not_subclass_element(X1,X2),X1) ),
inference(resolution,[],[f289,f2]) ).
fof(f579168,plain,
( member(not_subclass_element(sF0,sF6),y)
| subclass(sF0,y)
| spl8_1049
| spl8_1050 ),
inference(resolution,[],[f577604,f212]) ).
fof(f577604,plain,
( ! [X0] :
( member(not_subclass_element(sF0,X0),sF0)
| member(not_subclass_element(sF0,sF6),X0) )
| spl8_1049
| spl8_1050 ),
inference(resolution,[],[f577386,f2]) ).
fof(f584248,plain,
( member(not_subclass_element(sF0,sF6),sF5)
| member(not_subclass_element(sF0,sF6),sF4)
| spl8_1049
| spl8_1050 ),
inference(superposition,[],[f577392,f186]) ).
fof(f577392,plain,
( ! [X2] :
( member(not_subclass_element(sF0,sF6),complement(X2))
| member(not_subclass_element(sF0,sF6),X2) )
| spl8_1049
| spl8_1050 ),
inference(resolution,[],[f577384,f25]) ).
fof(f577384,plain,
( member(not_subclass_element(sF0,sF6),universal_class)
| spl8_1049
| spl8_1050 ),
inference(resolution,[],[f572230,f2321]) ).
fof(f587694,plain,
( ~ member(not_subclass_element(sF0,sF6),sF5)
| member(not_subclass_element(sF0,sF6),sF6)
| ~ spl8_972 ),
inference(resolution,[],[f346931,f428]) ).
fof(f428,plain,
! [X5] :
( ~ member(X5,sF3)
| ~ member(X5,sF5)
| member(X5,sF6) ),
inference(superposition,[],[f23,f187]) ).
fof(f583403,plain,
( spl8_972
| spl8_1049
| spl8_1050 ),
inference(avatar_contradiction_clause,[],[f583402]) ).
fof(f583402,plain,
( $false
| spl8_972
| spl8_1049
| spl8_1050 ),
inference(subsumption_resolution,[],[f583401,f577584]) ).
fof(f577584,plain,
( ~ member(not_subclass_element(sF0,sF6),sF2)
| spl8_1049
| spl8_1050 ),
inference(forward_demodulation,[],[f577583,f183]) ).
fof(f577583,plain,
( ~ member(not_subclass_element(sF0,sF6),complement(x))
| spl8_1049
| spl8_1050 ),
inference(resolution,[],[f577577,f24]) ).
fof(f577577,plain,
( member(not_subclass_element(sF0,sF6),x)
| spl8_1049
| spl8_1050 ),
inference(resolution,[],[f577385,f177]) ).
fof(f577385,plain,
( ! [X1] :
( ~ subclass(x,X1)
| member(not_subclass_element(sF0,sF6),X1) )
| spl8_1049
| spl8_1050 ),
inference(resolution,[],[f572230,f282]) ).
fof(f583401,plain,
( member(not_subclass_element(sF0,sF6),sF2)
| spl8_972
| spl8_1049
| spl8_1050 ),
inference(subsumption_resolution,[],[f583397,f346932]) ).
fof(f583397,plain,
( member(not_subclass_element(sF0,sF6),sF3)
| member(not_subclass_element(sF0,sF6),sF2)
| spl8_1049
| spl8_1050 ),
inference(superposition,[],[f577392,f184]) ).
fof(f573301,plain,
( spl8_1122
| ~ spl8_1123
| ~ spl8_971 ),
inference(avatar_split_clause,[],[f528299,f346488,f573298,f573294]) ).
fof(f346488,plain,
( spl8_971
<=> member(not_subclass_element(sF6,sF0),x) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_971])]) ).
fof(f528299,plain,
( ~ member(not_subclass_element(sF6,sF0),y)
| member(not_subclass_element(sF6,sF0),sF0)
| ~ spl8_971 ),
inference(resolution,[],[f346489,f427]) ).
fof(f427,plain,
! [X4] :
( ~ member(X4,x)
| ~ member(X4,y)
| member(X4,sF0) ),
inference(superposition,[],[f23,f181]) ).
fof(f346489,plain,
( member(not_subclass_element(sF6,sF0),x)
| ~ spl8_971 ),
inference(avatar_component_clause,[],[f346488]) ).
fof(f528270,plain,
( spl8_971
| ~ spl8_1049 ),
inference(avatar_contradiction_clause,[],[f528269]) ).
fof(f528269,plain,
( $false
| spl8_971
| ~ spl8_1049 ),
inference(subsumption_resolution,[],[f528268,f498554]) ).
fof(f498554,plain,
( member(not_subclass_element(sF6,sF0),sF3)
| ~ spl8_1049 ),
inference(subsumption_resolution,[],[f498533,f487661]) ).
fof(f487661,plain,
( ! [X0] :
( ~ subclass(sF6,X0)
| member(not_subclass_element(sF6,sF0),X0) )
| ~ spl8_1049 ),
inference(resolution,[],[f485648,f1]) ).
fof(f498533,plain,
( member(not_subclass_element(sF6,sF0),sF3)
| subclass(sF6,sF3)
| ~ spl8_1049 ),
inference(resolution,[],[f491624,f206]) ).
fof(f206,plain,
! [X1] :
( ~ member(not_subclass_element(X1,sF3),sF6)
| subclass(X1,sF3) ),
inference(resolution,[],[f201,f3]) ).
fof(f491624,plain,
( ! [X0] :
( member(not_subclass_element(sF6,X0),sF6)
| member(not_subclass_element(sF6,sF0),X0) )
| ~ spl8_1049 ),
inference(resolution,[],[f487661,f2]) ).
fof(f528268,plain,
( ~ member(not_subclass_element(sF6,sF0),sF3)
| spl8_971
| ~ spl8_1049 ),
inference(forward_demodulation,[],[f528265,f184]) ).
fof(f528265,plain,
( ~ member(not_subclass_element(sF6,sF0),complement(sF2))
| spl8_971
| ~ spl8_1049 ),
inference(resolution,[],[f528245,f24]) ).
fof(f528245,plain,
( member(not_subclass_element(sF6,sF0),sF2)
| spl8_971
| ~ spl8_1049 ),
inference(subsumption_resolution,[],[f528238,f346490]) ).
fof(f346490,plain,
( ~ member(not_subclass_element(sF6,sF0),x)
| spl8_971 ),
inference(avatar_component_clause,[],[f346488]) ).
fof(f528238,plain,
( member(not_subclass_element(sF6,sF0),sF2)
| member(not_subclass_element(sF6,sF0),x)
| ~ spl8_1049 ),
inference(superposition,[],[f490647,f183]) ).
fof(f490647,plain,
( ! [X2] :
( member(not_subclass_element(sF6,sF0),complement(X2))
| member(not_subclass_element(sF6,sF0),X2) )
| ~ spl8_1049 ),
inference(resolution,[],[f490555,f25]) ).
fof(f486005,plain,
~ spl8_1050,
inference(avatar_contradiction_clause,[],[f486004]) ).
fof(f486004,plain,
( $false
| ~ spl8_1050 ),
inference(subsumption_resolution,[],[f486003,f189]) ).
fof(f189,plain,
sF1 != sF7,
inference(definition_folding,[],[f127,f188,f187,f186,f185,f184,f183,f182,f181]) ).
fof(f188,plain,
complement(sF6) = sF7,
introduced(function_definition,[]) ).
fof(f127,plain,
complement(intersection(x,y)) != complement(intersection(complement(complement(x)),complement(complement(y)))),
inference(definition_unfolding,[],[f113,f26]) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',union) ).
fof(f113,axiom,
complement(intersection(x,y)) != union(complement(x),complement(y)),
file('/export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222',prove_demorgans_law2_1) ).
fof(f486003,plain,
( sF1 = sF7
| ~ spl8_1050 ),
inference(forward_demodulation,[],[f485654,f182]) ).
fof(f485654,plain,
( complement(sF0) = sF7
| ~ spl8_1050 ),
inference(backward_demodulation,[],[f188,f485652]) ).
fof(f485652,plain,
( sF0 = sF6
| ~ spl8_1050 ),
inference(avatar_component_clause,[],[f485650]) ).
fof(f52116,plain,
( ~ spl8_217
| spl8_304 ),
inference(avatar_contradiction_clause,[],[f52115]) ).
fof(f52115,plain,
( $false
| ~ spl8_217
| spl8_304 ),
inference(subsumption_resolution,[],[f52114,f33578]) ).
fof(f52114,plain,
( null_class = unordered_pair(universal_class,universal_class)
| ~ spl8_217 ),
inference(subsumption_resolution,[],[f52082,f14819]) ).
fof(f52082,plain,
( ! [X13] :
( member(universal_class,X13)
| null_class = unordered_pair(universal_class,universal_class) )
| ~ spl8_217 ),
inference(resolution,[],[f14819,f12113]) ).
fof(f14820,plain,
( spl8_217
| spl8_217
| spl8_215 ),
inference(avatar_split_clause,[],[f14483,f14474,f14818,f14818]) ).
fof(f14483,plain,
( ! [X0,X1] :
( ~ member(universal_class,X0)
| ~ member(universal_class,X1) )
| spl8_215 ),
inference(resolution,[],[f14475,f4448]) ).
fof(f14475,plain,
( ~ member(universal_class,universal_class)
| spl8_215 ),
inference(avatar_component_clause,[],[f14474]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET156-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n001.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 17:09:31 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.oXu4U0ob92/Vampire---4.8_12222
% 0.20/0.36 % (12381)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (12400)ott+1010_1_aac=none:bce=on:ep=RS:fsd=off:nm=4:nwc=2.0:nicw=on:sas=z3:sims=off_453 on Vampire---4 for (453ds/0Mi)
% 0.20/0.43 % (12393)lrs+2_5:4_anc=none:br=off:fde=unused:gsp=on:nm=32:nwc=1.3:sims=off:sos=all:urr=on:stl=62_558 on Vampire---4 for (558ds/0Mi)
% 0.20/0.43 % (12397)lrs-1010_20_afr=on:anc=all_dependent:bs=on:bsr=on:cond=on:er=known:fde=none:nm=4:nwc=1.3:sims=off:sp=frequency:urr=on:stl=62_533 on Vampire---4 for (533ds/0Mi)
% 0.20/0.43 % (12392)lrs+11_10:1_bs=unit_only:drc=off:fsd=off:fde=none:gs=on:msp=off:nm=16:nwc=2.0:nicw=on:sos=all:sac=on:sp=reverse_frequency:stl=62_575 on Vampire---4 for (575ds/0Mi)
% 0.20/0.43 % (12382)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_1192 on Vampire---4 for (1192ds/0Mi)
% 0.20/0.43 % (12399)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_520 on Vampire---4 for (520ds/0Mi)
% 0.20/0.43 % (12388)ott+3_2:7_add=large:amm=off:anc=all:bce=on:drc=off:fsd=off:fde=unused:gs=on:irw=on:lcm=predicate:lma=on:msp=off:nwc=10.0:sac=on_598 on Vampire---4 for (598ds/0Mi)
% 0.20/0.43 % (12392)Refutation not found, incomplete strategy% (12392)------------------------------
% 0.20/0.43 % (12392)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.43 % (12392)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.43 % (12392)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.43
% 0.20/0.43 % (12392)Memory used [KB]: 10234
% 0.20/0.43 % (12392)Time elapsed: 0.006 s
% 0.20/0.43 % (12392)------------------------------
% 0.20/0.43 % (12392)------------------------------
% 0.20/0.49 % (12401)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_401 on Vampire---4 for (401ds/0Mi)
% 243.52/35.09 % (12401)First to succeed.
% 243.88/35.13 % (12401)Refutation found. Thanks to Tanya!
% 243.88/35.13 % SZS status Unsatisfiable for Vampire---4
% 243.88/35.13 % SZS output start Proof for Vampire---4
% See solution above
% 243.88/35.14 % (12401)------------------------------
% 243.88/35.14 % (12401)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 243.88/35.14 % (12401)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 243.88/35.14 % (12401)Termination reason: Refutation
% 243.88/35.14
% 243.88/35.14 % (12401)Memory used [KB]: 456964
% 243.88/35.14 % (12401)Time elapsed: 34.610 s
% 243.88/35.14 % (12401)------------------------------
% 243.88/35.14 % (12401)------------------------------
% 243.88/35.14 % (12381)Success in time 34.612 s
% 243.88/35.14 % Vampire---4.8 exiting
%------------------------------------------------------------------------------