%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET358-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:40:50 PM UTC 2026
% Result : Unsatisfiable 81.01s 16.81s
% Output : Refutation 113.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 198
% Syntax : Number of formulae : 1021 ( 163 unt; 172 def)
% Number of atoms : 2810 ( 220 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 3377 (1588 ~;1634 |; 0 &)
% ( 155 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 159 ( 157 usr; 156 prp; 0-2 aty)
% Number of functors : 36 ( 36 usr; 22 con; 0-3 aty)
% Number of variables : 569 ( 0 sgn 569 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f6,axiom,
! [X0,X1] :
( X0 != X1
| subclass(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_implies_subclass2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product1) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product3) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f19,axiom,
! [X0,X1] :
( ~ member(ordered_pair(X0,X1),element_relation)
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_relation2) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,complement(X1))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction1) ).
fof(f30,axiom,
! [X0,X1] :
( restrict(X0,singleton(X1),universal_class) != null_class
| ~ member(X1,domain_of(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f31,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| restrict(X1,singleton(X0),universal_class) = null_class
| member(X0,domain_of(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).
fof(f32,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| null_class = restrict(X1,singleton(X0),universal_class)
| member(X0,domain_of(X1)) ),
inference(reorient_equations,[],[f31]) ).
fof(f54,axiom,
! [X0] : domain_of(restrict(element_relation,universal_class,X0)) = sum_class(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_class_definition) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f122,negated_conjecture,
sum_class(union(x,y)) != union(sum_class(x),sum_class(y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sum_over_union_1) ).
fof(f123,plain,
! [X0] : sum_class(X0) = domain_of(intersection(element_relation,cross_product(universal_class,X0))),
inference(definition_unfolding,[],[f54,f28]) ).
fof(f127,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(f136,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X0,X2) ),
inference(definition_unfolding,[],[f14,f127]) ).
fof(f137,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X1,X3) ),
inference(definition_unfolding,[],[f15,f127]) ).
fof(f138,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(X1,X3))
| ~ member(X2,X3)
| ~ member(X0,X1) ),
inference(definition_unfolding,[],[f16,f127]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 ),
inference(definition_unfolding,[],[f17,f127]) ).
fof(f140,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
| member(X0,X1) ),
inference(definition_unfolding,[],[f19,f127]) ).
fof(f143,plain,
! [X0,X1] :
( null_class != intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
| ~ member(X1,domain_of(X0)) ),
inference(definition_unfolding,[],[f30,f28,f12]) ).
fof(f144,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| null_class = intersection(X1,cross_product(unordered_pair(X0,X0),universal_class))
| member(X0,domain_of(X1)) ),
inference(definition_unfolding,[],[f32,f28,f12]) ).
fof(f185,plain,
domain_of(intersection(element_relation,cross_product(universal_class,complement(intersection(complement(x),complement(y)))))) != complement(intersection(complement(domain_of(intersection(element_relation,cross_product(universal_class,x)))),complement(domain_of(intersection(element_relation,cross_product(universal_class,y)))))),
inference(definition_unfolding,[],[f122,f123,f26,f26,f123,f123]) ).
fof(f187,plain,
! [X1] : subclass(X1,X1),
inference(equality_resolution,[],[f6]) ).
fof(f190,definition,
sF0 = complement(x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f191,plain,
complement(x) = sF0,
inference(reorient_equations,[],[f190]) ).
fof(f192,definition,
sF1 = complement(y),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f193,plain,
complement(y) = sF1,
inference(reorient_equations,[],[f192]) ).
fof(f194,definition,
sF2 = intersection(sF0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f195,plain,
intersection(sF0,sF1) = sF2,
inference(reorient_equations,[],[f194]) ).
fof(f196,definition,
sF3 = complement(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f197,plain,
complement(sF2) = sF3,
inference(reorient_equations,[],[f196]) ).
fof(f198,definition,
sF4 = cross_product(universal_class,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f199,plain,
cross_product(universal_class,sF3) = sF4,
inference(reorient_equations,[],[f198]) ).
fof(f200,definition,
sF5 = intersection(element_relation,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f201,plain,
intersection(element_relation,sF4) = sF5,
inference(reorient_equations,[],[f200]) ).
fof(f202,definition,
sF6 = domain_of(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f203,plain,
domain_of(sF5) = sF6,
inference(reorient_equations,[],[f202]) ).
fof(f204,definition,
sF7 = cross_product(universal_class,x),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f205,plain,
cross_product(universal_class,x) = sF7,
inference(reorient_equations,[],[f204]) ).
fof(f206,definition,
sF8 = intersection(element_relation,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f207,plain,
intersection(element_relation,sF7) = sF8,
inference(reorient_equations,[],[f206]) ).
fof(f208,definition,
sF9 = domain_of(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f209,plain,
domain_of(sF8) = sF9,
inference(reorient_equations,[],[f208]) ).
fof(f210,definition,
sF10 = complement(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f211,plain,
complement(sF9) = sF10,
inference(reorient_equations,[],[f210]) ).
fof(f212,definition,
sF11 = cross_product(universal_class,y),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f213,plain,
cross_product(universal_class,y) = sF11,
inference(reorient_equations,[],[f212]) ).
fof(f214,definition,
sF12 = intersection(element_relation,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f215,plain,
intersection(element_relation,sF11) = sF12,
inference(reorient_equations,[],[f214]) ).
fof(f216,definition,
sF13 = domain_of(sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f217,plain,
domain_of(sF12) = sF13,
inference(reorient_equations,[],[f216]) ).
fof(f218,definition,
sF14 = complement(sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f219,plain,
complement(sF13) = sF14,
inference(reorient_equations,[],[f218]) ).
fof(f220,definition,
sF15 = intersection(sF10,sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f221,plain,
intersection(sF10,sF14) = sF15,
inference(reorient_equations,[],[f220]) ).
fof(f222,definition,
sF16 = complement(sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f223,plain,
complement(sF15) = sF16,
inference(reorient_equations,[],[f222]) ).
fof(f224,plain,
sF6 != sF16,
inference(definition_folding,[],[f185,f223,f221,f219,f217,f215,f213,f211,f209,f207,f205,f203,f201,f199,f197,f195,f193,f191]) ).
fof(f228,definition,
( spl17_1
<=> intersection(sF0,sF1) = sF2 ),
introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition]) ).
fof(f230,plain,
( intersection(sF0,sF1) = sF2
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f231,plain,
spl17_1,
inference(avatar_split_clause,[],[f195,f228]) ).
fof(f232,plain,
( ! [X0] :
( member(X0,sF2)
| ~ member(X0,sF1)
| ~ member(X0,sF0) )
| ~ spl17_1 ),
inference(superposition,[],[f23,f230]) ).
fof(f233,plain,
( ! [X0] :
( ~ member(X0,sF2)
| member(X0,sF1) )
| ~ spl17_1 ),
inference(superposition,[],[f22,f230]) ).
fof(f234,plain,
( ! [X0] :
( ~ member(X0,sF2)
| member(X0,sF0) )
| ~ spl17_1 ),
inference(superposition,[],[f21,f230]) ).
fof(f236,definition,
( spl17_2
<=> intersection(sF10,sF14) = sF15 ),
introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition]) ).
fof(f238,plain,
( intersection(sF10,sF14) = sF15
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f239,plain,
spl17_2,
inference(avatar_split_clause,[],[f221,f236]) ).
fof(f240,plain,
( ! [X0] :
( member(X0,sF15)
| ~ member(X0,sF14)
| ~ member(X0,sF10) )
| ~ spl17_2 ),
inference(superposition,[],[f23,f238]) ).
fof(f241,plain,
( ! [X0] :
( ~ member(X0,sF15)
| member(X0,sF14) )
| ~ spl17_2 ),
inference(superposition,[],[f22,f238]) ).
fof(f242,plain,
( ! [X0] :
( ~ member(X0,sF15)
| member(X0,sF10) )
| ~ spl17_2 ),
inference(superposition,[],[f21,f238]) ).
fof(f244,definition,
( spl17_3
<=> complement(x) = sF0 ),
introduced(definition,[new_symbols(definition,[spl17_3])],[avatar_definition]) ).
fof(f246,plain,
( complement(x) = sF0
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f247,plain,
spl17_3,
inference(avatar_split_clause,[],[f191,f244]) ).
fof(f248,plain,
( ! [X0] :
( ~ member(X0,sF0)
| ~ member(X0,x) )
| ~ spl17_3 ),
inference(superposition,[],[f24,f246]) ).
fof(f255,definition,
( spl17_4
<=> complement(y) = sF1 ),
introduced(definition,[new_symbols(definition,[spl17_4])],[avatar_definition]) ).
fof(f257,plain,
( complement(y) = sF1
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,plain,
spl17_4,
inference(avatar_split_clause,[],[f193,f255]) ).
fof(f259,plain,
( ! [X0] :
( ~ member(X0,sF1)
| ~ member(X0,y) )
| ~ spl17_4 ),
inference(superposition,[],[f24,f257]) ).
fof(f261,definition,
( spl17_5
<=> ! [X0] :
( ~ member(X0,sF15)
| member(X0,sF10) ) ),
introduced(definition,[new_symbols(definition,[spl17_5])],[avatar_definition]) ).
fof(f262,plain,
( ! [X0] :
( member(X0,sF10)
| ~ member(X0,sF15) )
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f263,plain,
( spl17_5
| ~ spl17_2 ),
inference(avatar_split_clause,[],[f242,f236,f261]) ).
fof(f265,definition,
( spl17_6
<=> ! [X0] :
( ~ member(X0,sF15)
| member(X0,sF14) ) ),
introduced(definition,[new_symbols(definition,[spl17_6])],[avatar_definition]) ).
fof(f266,plain,
( ! [X0] :
( member(X0,sF14)
| ~ member(X0,sF15) )
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f267,plain,
( spl17_6
| ~ spl17_2 ),
inference(avatar_split_clause,[],[f241,f236,f265]) ).
fof(f269,definition,
( spl17_7
<=> ! [X0] :
( member(X0,sF15)
| ~ member(X0,sF14)
| ~ member(X0,sF10) ) ),
introduced(definition,[new_symbols(definition,[spl17_7])],[avatar_definition]) ).
fof(f270,plain,
( ! [X0] :
( member(X0,sF15)
| ~ member(X0,sF14)
| ~ member(X0,sF10) )
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f271,plain,
( spl17_7
| ~ spl17_2 ),
inference(avatar_split_clause,[],[f240,f236,f269]) ).
fof(f273,definition,
( spl17_8
<=> complement(sF13) = sF14 ),
introduced(definition,[new_symbols(definition,[spl17_8])],[avatar_definition]) ).
fof(f275,plain,
( complement(sF13) = sF14
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f276,plain,
spl17_8,
inference(avatar_split_clause,[],[f219,f273]) ).
fof(f277,plain,
( ! [X0] :
( ~ member(X0,sF14)
| ~ member(X0,sF13) )
| ~ spl17_8 ),
inference(superposition,[],[f24,f275]) ).
fof(f279,definition,
( spl17_9
<=> complement(sF9) = sF10 ),
introduced(definition,[new_symbols(definition,[spl17_9])],[avatar_definition]) ).
fof(f281,plain,
( complement(sF9) = sF10
| ~ spl17_9 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f282,plain,
spl17_9,
inference(avatar_split_clause,[],[f211,f279]) ).
fof(f283,plain,
( ! [X0] :
( ~ member(X0,sF10)
| ~ member(X0,sF9) )
| ~ spl17_9 ),
inference(superposition,[],[f24,f281]) ).
fof(f285,definition,
( spl17_10
<=> ! [X0] :
( ~ member(X0,sF2)
| member(X0,sF0) ) ),
introduced(definition,[new_symbols(definition,[spl17_10])],[avatar_definition]) ).
fof(f286,plain,
( ! [X0] :
( member(X0,sF0)
| ~ member(X0,sF2) )
| ~ spl17_10 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f287,plain,
( spl17_10
| ~ spl17_1 ),
inference(avatar_split_clause,[],[f234,f228,f285]) ).
fof(f289,definition,
( spl17_11
<=> ! [X0] :
( member(X0,sF2)
| ~ member(X0,sF1)
| ~ member(X0,sF0) ) ),
introduced(definition,[new_symbols(definition,[spl17_11])],[avatar_definition]) ).
fof(f290,plain,
( ! [X0] :
( member(X0,sF2)
| ~ member(X0,sF1)
| ~ member(X0,sF0) )
| ~ spl17_11 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f291,plain,
( spl17_11
| ~ spl17_1 ),
inference(avatar_split_clause,[],[f232,f228,f289]) ).
fof(f293,definition,
( spl17_12
<=> ! [X0] :
( ~ member(X0,sF2)
| member(X0,sF1) ) ),
introduced(definition,[new_symbols(definition,[spl17_12])],[avatar_definition]) ).
fof(f294,plain,
( ! [X0] :
( member(X0,sF1)
| ~ member(X0,sF2) )
| ~ spl17_12 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f295,plain,
( spl17_12
| ~ spl17_1 ),
inference(avatar_split_clause,[],[f233,f228,f293]) ).
fof(f297,definition,
( spl17_13
<=> domain_of(sF8) = sF9 ),
introduced(definition,[new_symbols(definition,[spl17_13])],[avatar_definition]) ).
fof(f299,plain,
( domain_of(sF8) = sF9
| ~ spl17_13 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f300,plain,
spl17_13,
inference(avatar_split_clause,[],[f209,f297]) ).
fof(f302,definition,
( spl17_14
<=> complement(sF15) = sF16 ),
introduced(definition,[new_symbols(definition,[spl17_14])],[avatar_definition]) ).
fof(f304,plain,
( complement(sF15) = sF16
| ~ spl17_14 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f305,plain,
spl17_14,
inference(avatar_split_clause,[],[f223,f302]) ).
fof(f307,definition,
( spl17_15
<=> domain_of(sF12) = sF13 ),
introduced(definition,[new_symbols(definition,[spl17_15])],[avatar_definition]) ).
fof(f309,plain,
( domain_of(sF12) = sF13
| ~ spl17_15 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f310,plain,
spl17_15,
inference(avatar_split_clause,[],[f217,f307]) ).
fof(f312,definition,
( spl17_16
<=> complement(sF2) = sF3 ),
introduced(definition,[new_symbols(definition,[spl17_16])],[avatar_definition]) ).
fof(f314,plain,
( complement(sF2) = sF3
| ~ spl17_16 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f315,plain,
spl17_16,
inference(avatar_split_clause,[],[f197,f312]) ).
fof(f316,plain,
( ! [X0] :
( ~ member(X0,sF3)
| ~ member(X0,sF2) )
| ~ spl17_16 ),
inference(superposition,[],[f24,f314]) ).
fof(f318,definition,
( spl17_17
<=> domain_of(sF5) = sF6 ),
introduced(definition,[new_symbols(definition,[spl17_17])],[avatar_definition]) ).
fof(f320,plain,
( domain_of(sF5) = sF6
| ~ spl17_17 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f321,plain,
spl17_17,
inference(avatar_split_clause,[],[f203,f318]) ).
fof(f323,plain,
( ! [X0] :
( ~ member(X0,sF16)
| ~ member(X0,sF15) )
| ~ spl17_14 ),
inference(superposition,[],[f24,f304]) ).
fof(f325,definition,
( spl17_18
<=> ! [X0] :
( ~ member(X0,sF16)
| ~ member(X0,sF15) ) ),
introduced(definition,[new_symbols(definition,[spl17_18])],[avatar_definition]) ).
fof(f326,plain,
( ! [X0] :
( ~ member(X0,sF16)
| ~ member(X0,sF15) )
| ~ spl17_18 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f327,plain,
( spl17_18
| ~ spl17_14 ),
inference(avatar_split_clause,[],[f323,f302,f325]) ).
fof(f328,plain,
( ! [X0] :
( ~ member(not_subclass_element(sF16,X0),sF15)
| subclass(sF16,X0) )
| ~ spl17_18 ),
inference(resolution,[],[f326,f2]) ).
fof(f329,plain,
! [X2,X0,X1] :
( ~ member(X0,X1)
| ~ subclass(X1,universal_class)
| member(X0,complement(X2))
| member(X0,X2) ),
inference(resolution,[],[f1,f25]) ).
fof(f337,plain,
! [X2,X0,X1] :
( member(X0,complement(X2))
| ~ member(X0,X1)
| member(X0,X2) ),
inference(forward_subsumption_resolution,[],[f329,f4]) ).
fof(f339,plain,
( ! [X0,X1] :
( member(X0,sF0)
| ~ member(X0,X1)
| member(X0,x) )
| ~ spl17_3 ),
inference(superposition,[],[f337,f246]) ).
fof(f340,plain,
( ! [X0,X1] :
( member(X0,sF1)
| ~ member(X0,X1)
| member(X0,y) )
| ~ spl17_4 ),
inference(superposition,[],[f337,f257]) ).
fof(f341,plain,
( ! [X0,X1] :
( member(X0,sF3)
| ~ member(X0,X1)
| member(X0,sF2) )
| ~ spl17_16 ),
inference(superposition,[],[f337,f314]) ).
fof(f342,plain,
( ! [X0,X1] :
( member(X0,sF10)
| ~ member(X0,X1)
| member(X0,sF9) )
| ~ spl17_9 ),
inference(superposition,[],[f337,f281]) ).
fof(f343,plain,
( ! [X0,X1] :
( member(X0,sF14)
| ~ member(X0,X1)
| member(X0,sF13) )
| ~ spl17_8 ),
inference(superposition,[],[f337,f275]) ).
fof(f344,plain,
( ! [X0,X1] :
( member(X0,sF16)
| ~ member(X0,X1)
| member(X0,sF15) )
| ~ spl17_14 ),
inference(superposition,[],[f337,f304]) ).
fof(f346,definition,
( spl17_19
<=> ! [X0,X1] :
( member(X0,sF16)
| ~ member(X0,X1)
| member(X0,sF15) ) ),
introduced(definition,[new_symbols(definition,[spl17_19])],[avatar_definition]) ).
fof(f347,plain,
( ! [X0,X1] :
( member(X0,sF16)
| ~ member(X0,X1)
| member(X0,sF15) )
| ~ spl17_19 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f348,plain,
( spl17_19
| ~ spl17_14 ),
inference(avatar_split_clause,[],[f344,f302,f346]) ).
fof(f350,definition,
( spl17_20
<=> ! [X0,X1] :
( member(X0,sF10)
| ~ member(X0,X1)
| member(X0,sF9) ) ),
introduced(definition,[new_symbols(definition,[spl17_20])],[avatar_definition]) ).
fof(f351,plain,
( ! [X0,X1] :
( member(X0,sF10)
| ~ member(X0,X1)
| member(X0,sF9) )
| ~ spl17_20 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f352,plain,
( spl17_20
| ~ spl17_9 ),
inference(avatar_split_clause,[],[f342,f279,f350]) ).
fof(f354,definition,
( spl17_21
<=> ! [X0,X1] :
( member(X0,sF14)
| ~ member(X0,X1)
| member(X0,sF13) ) ),
introduced(definition,[new_symbols(definition,[spl17_21])],[avatar_definition]) ).
fof(f355,plain,
( ! [X0,X1] :
( member(X0,sF14)
| ~ member(X0,X1)
| member(X0,sF13) )
| ~ spl17_21 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f356,plain,
( spl17_21
| ~ spl17_8 ),
inference(avatar_split_clause,[],[f343,f273,f354]) ).
fof(f359,definition,
( spl17_22
<=> ! [X0,X1] :
( member(X0,sF0)
| ~ member(X0,X1)
| member(X0,x) ) ),
introduced(definition,[new_symbols(definition,[spl17_22])],[avatar_definition]) ).
fof(f360,plain,
( ! [X0,X1] :
( member(X0,sF0)
| ~ member(X0,X1)
| member(X0,x) )
| ~ spl17_22 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f361,plain,
( spl17_22
| ~ spl17_3 ),
inference(avatar_split_clause,[],[f339,f244,f359]) ).
fof(f363,definition,
( spl17_23
<=> ! [X0,X1] :
( member(X0,sF3)
| ~ member(X0,X1)
| member(X0,sF2) ) ),
introduced(definition,[new_symbols(definition,[spl17_23])],[avatar_definition]) ).
fof(f364,plain,
( ! [X0,X1] :
( member(X0,sF3)
| ~ member(X0,X1)
| member(X0,sF2) )
| ~ spl17_23 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f365,plain,
( spl17_23
| ~ spl17_16 ),
inference(avatar_split_clause,[],[f341,f312,f363]) ).
fof(f367,definition,
( spl17_24
<=> ! [X0,X1] :
( member(X0,sF1)
| ~ member(X0,X1)
| member(X0,y) ) ),
introduced(definition,[new_symbols(definition,[spl17_24])],[avatar_definition]) ).
fof(f368,plain,
( ! [X0,X1] :
( member(X0,sF1)
| ~ member(X0,X1)
| member(X0,y) )
| ~ spl17_24 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f369,plain,
( spl17_24
| ~ spl17_4 ),
inference(avatar_split_clause,[],[f340,f255,f367]) ).
fof(f370,plain,
! [X2,X0,X1] :
( null_class = intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
| member(X1,domain_of(X0))
| ~ member(X1,X2)
| ~ subclass(X2,universal_class) ),
inference(resolution,[],[f144,f1]) ).
fof(f372,plain,
! [X2,X0,X1] :
( member(X1,domain_of(X0))
| null_class = intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
| ~ member(X1,X2) ),
inference(forward_subsumption_resolution,[],[f370,f4]) ).
fof(f376,plain,
! [X2,X0,X1] :
( subclass(X0,complement(X1))
| ~ member(not_subclass_element(X0,complement(X1)),X2)
| member(not_subclass_element(X0,complement(X1)),X1) ),
inference(resolution,[],[f3,f337]) ).
fof(f391,definition,
( spl17_25
<=> ! [X0,X1] :
( subclass(X0,sF16)
| ~ member(not_subclass_element(X0,sF16),X1)
| member(not_subclass_element(X0,sF16),sF15) ) ),
introduced(definition,[new_symbols(definition,[spl17_25])],[avatar_definition]) ).
fof(f392,plain,
( ! [X0,X1] :
( member(not_subclass_element(X0,sF16),sF15)
| ~ member(not_subclass_element(X0,sF16),X1)
| subclass(X0,sF16) )
| ~ spl17_25 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f395,definition,
( spl17_26
<=> intersection(element_relation,sF4) = sF5 ),
introduced(definition,[new_symbols(definition,[spl17_26])],[avatar_definition]) ).
fof(f397,plain,
( intersection(element_relation,sF4) = sF5
| ~ spl17_26 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f398,plain,
spl17_26,
inference(avatar_split_clause,[],[f201,f395]) ).
fof(f399,plain,
( ! [X0] :
( member(X0,sF5)
| ~ member(X0,sF4)
| ~ member(X0,element_relation) )
| ~ spl17_26 ),
inference(superposition,[],[f23,f397]) ).
fof(f400,plain,
( ! [X0] :
( ~ member(X0,sF5)
| member(X0,sF4) )
| ~ spl17_26 ),
inference(superposition,[],[f22,f397]) ).
fof(f401,plain,
( ! [X0] :
( ~ member(X0,sF5)
| member(X0,element_relation) )
| ~ spl17_26 ),
inference(superposition,[],[f21,f397]) ).
fof(f403,definition,
( spl17_27
<=> ! [X0] :
( ~ member(X0,sF5)
| member(X0,sF4) ) ),
introduced(definition,[new_symbols(definition,[spl17_27])],[avatar_definition]) ).
fof(f404,plain,
( ! [X0] :
( member(X0,sF4)
| ~ member(X0,sF5) )
| ~ spl17_27 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f405,plain,
( spl17_27
| ~ spl17_26 ),
inference(avatar_split_clause,[],[f400,f395,f403]) ).
fof(f407,definition,
( spl17_28
<=> ! [X0] :
( member(X0,sF5)
| ~ member(X0,sF4)
| ~ member(X0,element_relation) ) ),
introduced(definition,[new_symbols(definition,[spl17_28])],[avatar_definition]) ).
fof(f408,plain,
( ! [X0] :
( member(X0,sF5)
| ~ member(X0,sF4)
| ~ member(X0,element_relation) )
| ~ spl17_28 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f409,plain,
( spl17_28
| ~ spl17_26 ),
inference(avatar_split_clause,[],[f399,f395,f407]) ).
fof(f413,definition,
( spl17_29
<=> intersection(element_relation,sF7) = sF8 ),
introduced(definition,[new_symbols(definition,[spl17_29])],[avatar_definition]) ).
fof(f415,plain,
( intersection(element_relation,sF7) = sF8
| ~ spl17_29 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f416,plain,
spl17_29,
inference(avatar_split_clause,[],[f207,f413]) ).
fof(f417,plain,
( ! [X0] :
( member(X0,sF8)
| ~ member(X0,sF7)
| ~ member(X0,element_relation) )
| ~ spl17_29 ),
inference(superposition,[],[f23,f415]) ).
fof(f418,plain,
( ! [X0] :
( ~ member(X0,sF8)
| member(X0,sF7) )
| ~ spl17_29 ),
inference(superposition,[],[f22,f415]) ).
fof(f419,plain,
( ! [X0] :
( ~ member(X0,sF8)
| member(X0,element_relation) )
| ~ spl17_29 ),
inference(superposition,[],[f21,f415]) ).
fof(f421,definition,
( spl17_30
<=> ! [X0] :
( ~ member(X0,sF8)
| member(X0,sF7) ) ),
introduced(definition,[new_symbols(definition,[spl17_30])],[avatar_definition]) ).
fof(f422,plain,
( ! [X0] :
( member(X0,sF7)
| ~ member(X0,sF8) )
| ~ spl17_30 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f423,plain,
( spl17_30
| ~ spl17_29 ),
inference(avatar_split_clause,[],[f418,f413,f421]) ).
fof(f425,definition,
( spl17_31
<=> ! [X0] :
( member(X0,sF8)
| ~ member(X0,sF7)
| ~ member(X0,element_relation) ) ),
introduced(definition,[new_symbols(definition,[spl17_31])],[avatar_definition]) ).
fof(f426,plain,
( ! [X0] :
( member(X0,sF8)
| ~ member(X0,sF7)
| ~ member(X0,element_relation) )
| ~ spl17_31 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f427,plain,
( spl17_31
| ~ spl17_29 ),
inference(avatar_split_clause,[],[f417,f413,f425]) ).
fof(f431,definition,
( spl17_32
<=> intersection(element_relation,sF11) = sF12 ),
introduced(definition,[new_symbols(definition,[spl17_32])],[avatar_definition]) ).
fof(f433,plain,
( intersection(element_relation,sF11) = sF12
| ~ spl17_32 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f434,plain,
spl17_32,
inference(avatar_split_clause,[],[f215,f431]) ).
fof(f435,plain,
( ! [X0] :
( member(X0,sF12)
| ~ member(X0,sF11)
| ~ member(X0,element_relation) )
| ~ spl17_32 ),
inference(superposition,[],[f23,f433]) ).
fof(f436,plain,
( ! [X0] :
( ~ member(X0,sF12)
| member(X0,sF11) )
| ~ spl17_32 ),
inference(superposition,[],[f22,f433]) ).
fof(f437,plain,
( ! [X0] :
( ~ member(X0,sF12)
| member(X0,element_relation) )
| ~ spl17_32 ),
inference(superposition,[],[f21,f433]) ).
fof(f439,definition,
( spl17_33
<=> ! [X0] :
( ~ member(X0,sF12)
| member(X0,sF11) ) ),
introduced(definition,[new_symbols(definition,[spl17_33])],[avatar_definition]) ).
fof(f440,plain,
( ! [X0] :
( member(X0,sF11)
| ~ member(X0,sF12) )
| ~ spl17_33 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f441,plain,
( spl17_33
| ~ spl17_32 ),
inference(avatar_split_clause,[],[f436,f431,f439]) ).
fof(f443,definition,
( spl17_34
<=> ! [X0] :
( member(X0,sF12)
| ~ member(X0,sF11)
| ~ member(X0,element_relation) ) ),
introduced(definition,[new_symbols(definition,[spl17_34])],[avatar_definition]) ).
fof(f444,plain,
( ! [X0] :
( member(X0,sF12)
| ~ member(X0,sF11)
| ~ member(X0,element_relation) )
| ~ spl17_34 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f445,plain,
( spl17_34
| ~ spl17_32 ),
inference(avatar_split_clause,[],[f435,f431,f443]) ).
fof(f449,definition,
( spl17_35
<=> cross_product(universal_class,x) = sF7 ),
introduced(definition,[new_symbols(definition,[spl17_35])],[avatar_definition]) ).
fof(f451,plain,
( cross_product(universal_class,x) = sF7
| ~ spl17_35 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f452,plain,
spl17_35,
inference(avatar_split_clause,[],[f205,f449]) ).
fof(f454,definition,
( spl17_36
<=> cross_product(universal_class,y) = sF11 ),
introduced(definition,[new_symbols(definition,[spl17_36])],[avatar_definition]) ).
fof(f456,plain,
( cross_product(universal_class,y) = sF11
| ~ spl17_36 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f457,plain,
spl17_36,
inference(avatar_split_clause,[],[f213,f454]) ).
fof(f459,definition,
( spl17_37
<=> cross_product(universal_class,sF3) = sF4 ),
introduced(definition,[new_symbols(definition,[spl17_37])],[avatar_definition]) ).
fof(f461,plain,
( cross_product(universal_class,sF3) = sF4
| ~ spl17_37 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f462,plain,
spl17_37,
inference(avatar_split_clause,[],[f199,f459]) ).
fof(f463,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| member(X1,sF3) )
| ~ spl17_37 ),
inference(superposition,[],[f137,f461]) ).
fof(f464,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| member(X0,universal_class) )
| ~ spl17_37 ),
inference(superposition,[],[f136,f461]) ).
fof(f467,definition,
( spl17_38
<=> ! [X0] :
( ~ member(X0,sF5)
| member(X0,element_relation) ) ),
introduced(definition,[new_symbols(definition,[spl17_38])],[avatar_definition]) ).
fof(f468,plain,
( ! [X0] :
( member(X0,element_relation)
| ~ member(X0,sF5) )
| ~ spl17_38 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f469,plain,
( spl17_38
| ~ spl17_26 ),
inference(avatar_split_clause,[],[f401,f395,f467]) ).
fof(f471,definition,
( spl17_39
<=> ! [X0] :
( ~ member(X0,sF12)
| member(X0,element_relation) ) ),
introduced(definition,[new_symbols(definition,[spl17_39])],[avatar_definition]) ).
fof(f472,plain,
( ! [X0] :
( member(X0,element_relation)
| ~ member(X0,sF12) )
| ~ spl17_39 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f473,plain,
( spl17_39
| ~ spl17_32 ),
inference(avatar_split_clause,[],[f437,f431,f471]) ).
fof(f475,definition,
( spl17_40
<=> ! [X0] :
( ~ member(X0,sF8)
| member(X0,element_relation) ) ),
introduced(definition,[new_symbols(definition,[spl17_40])],[avatar_definition]) ).
fof(f476,plain,
( ! [X0] :
( member(X0,element_relation)
| ~ member(X0,sF8) )
| ~ spl17_40 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f477,plain,
( spl17_40
| ~ spl17_29 ),
inference(avatar_split_clause,[],[f419,f413,f475]) ).
fof(f478,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF11)
| member(X1,y) )
| ~ spl17_36 ),
inference(superposition,[],[f137,f456]) ).
fof(f479,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF11)
| member(X0,universal_class) )
| ~ spl17_36 ),
inference(superposition,[],[f136,f456]) ).
fof(f481,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF7)
| member(X1,x) )
| ~ spl17_35 ),
inference(superposition,[],[f137,f451]) ).
fof(f482,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF7)
| member(X0,universal_class) )
| ~ spl17_35 ),
inference(superposition,[],[f136,f451]) ).
fof(f483,plain,
( ! [X0] :
( ~ member(X0,sF7)
| unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 )
| ~ spl17_35 ),
inference(superposition,[],[f139,f451]) ).
fof(f485,definition,
( spl17_41
<=> ! [X0] :
( ~ member(X0,sF10)
| ~ member(X0,sF9) ) ),
introduced(definition,[new_symbols(definition,[spl17_41])],[avatar_definition]) ).
fof(f486,plain,
( ! [X0] :
( ~ member(X0,sF10)
| ~ member(X0,sF9) )
| ~ spl17_41 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f487,plain,
( spl17_41
| ~ spl17_9 ),
inference(avatar_split_clause,[],[f283,f279,f485]) ).
fof(f489,plain,
( ! [X0] :
( ~ member(X0,sF9)
| ~ member(X0,sF15) )
| ~ spl17_5
| ~ spl17_41 ),
inference(resolution,[],[f486,f262]) ).
fof(f493,definition,
( spl17_42
<=> ! [X0] :
( ~ member(X0,sF14)
| ~ member(X0,sF13) ) ),
introduced(definition,[new_symbols(definition,[spl17_42])],[avatar_definition]) ).
fof(f494,plain,
( ! [X0] :
( ~ member(X0,sF14)
| ~ member(X0,sF13) )
| ~ spl17_42 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f495,plain,
( spl17_42
| ~ spl17_8 ),
inference(avatar_split_clause,[],[f277,f273,f493]) ).
fof(f497,plain,
( ! [X0] :
( ~ member(X0,sF13)
| ~ member(X0,sF15) )
| ~ spl17_6
| ~ spl17_42 ),
inference(resolution,[],[f494,f266]) ).
fof(f501,plain,
( ! [X0,X1] :
( member(X0,sF9)
| null_class = intersection(sF8,cross_product(unordered_pair(X0,X0),universal_class))
| ~ member(X0,X1) )
| ~ spl17_13 ),
inference(superposition,[],[f372,f299]) ).
fof(f502,plain,
( ! [X0,X1] :
( member(X0,sF13)
| null_class = intersection(sF12,cross_product(unordered_pair(X0,X0),universal_class))
| ~ member(X0,X1) )
| ~ spl17_15 ),
inference(superposition,[],[f372,f309]) ).
fof(f504,definition,
( spl17_43
<=> sF6 = sF16 ),
introduced(definition,[new_symbols(definition,[spl17_43])],[avatar_definition]) ).
fof(f506,plain,
( sF6 != sF16
| spl17_43 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f507,plain,
~ spl17_43,
inference(avatar_split_clause,[],[f224,f504]) ).
fof(f509,definition,
( spl17_44
<=> ! [X0] :
( ~ member(X0,sF3)
| ~ member(X0,sF2) ) ),
introduced(definition,[new_symbols(definition,[spl17_44])],[avatar_definition]) ).
fof(f510,plain,
( ! [X0] :
( ~ member(X0,sF3)
| ~ member(X0,sF2) )
| ~ spl17_44 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f511,plain,
( spl17_44
| ~ spl17_16 ),
inference(avatar_split_clause,[],[f316,f312,f509]) ).
fof(f520,definition,
( spl17_45
<=> ! [X0] :
( ~ member(X0,sF0)
| ~ member(X0,x) ) ),
introduced(definition,[new_symbols(definition,[spl17_45])],[avatar_definition]) ).
fof(f521,plain,
( ! [X0] :
( ~ member(X0,sF0)
| ~ member(X0,x) )
| ~ spl17_45 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f522,plain,
( spl17_45
| ~ spl17_3 ),
inference(avatar_split_clause,[],[f248,f244,f520]) ).
fof(f524,definition,
( spl17_46
<=> ! [X0] :
( ~ member(X0,sF1)
| ~ member(X0,y) ) ),
introduced(definition,[new_symbols(definition,[spl17_46])],[avatar_definition]) ).
fof(f525,plain,
( ! [X0] :
( ~ member(X0,sF1)
| ~ member(X0,y) )
| ~ spl17_46 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f526,plain,
( spl17_46
| ~ spl17_4 ),
inference(avatar_split_clause,[],[f259,f255,f524]) ).
fof(f528,definition,
( spl17_47
<=> ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| member(X1,sF3) ) ),
introduced(definition,[new_symbols(definition,[spl17_47])],[avatar_definition]) ).
fof(f529,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| member(X1,sF3) )
| ~ spl17_47 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f530,plain,
( spl17_47
| ~ spl17_37 ),
inference(avatar_split_clause,[],[f463,f459,f528]) ).
fof(f534,plain,
( ! [X0] :
( ~ member(X0,x)
| ~ member(X0,sF2) )
| ~ spl17_10
| ~ spl17_45 ),
inference(resolution,[],[f521,f286]) ).
fof(f538,plain,
( ! [X0] :
( ~ member(X0,y)
| ~ member(X0,sF2) )
| ~ spl17_12
| ~ spl17_46 ),
inference(resolution,[],[f525,f294]) ).
fof(f541,plain,
( ! [X0,X1] :
( member(X0,sF6)
| null_class = intersection(sF5,cross_product(unordered_pair(X0,X0),universal_class))
| ~ member(X0,X1) )
| ~ spl17_17 ),
inference(superposition,[],[f372,f320]) ).
fof(f543,definition,
( spl17_48
<=> ! [X0,X1] :
( member(X0,sF6)
| null_class = intersection(sF5,cross_product(unordered_pair(X0,X0),universal_class))
| ~ member(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl17_48])],[avatar_definition]) ).
fof(f544,plain,
( ! [X0,X1] :
( member(X0,sF6)
| null_class = intersection(sF5,cross_product(unordered_pair(X0,X0),universal_class))
| ~ member(X0,X1) )
| ~ spl17_48 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f545,plain,
( spl17_48
| ~ spl17_17 ),
inference(avatar_split_clause,[],[f541,f318,f543]) ).
fof(f549,plain,
( ! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| ~ member(X1,sF3)
| ~ member(X0,universal_class) )
| ~ spl17_37 ),
inference(superposition,[],[f138,f461]) ).
fof(f550,plain,
( ! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF11)
| ~ member(X1,y)
| ~ member(X0,universal_class) )
| ~ spl17_36 ),
inference(superposition,[],[f138,f456]) ).
fof(f551,plain,
( ! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF7)
| ~ member(X1,x)
| ~ member(X0,universal_class) )
| ~ spl17_35 ),
inference(superposition,[],[f138,f451]) ).
fof(f553,definition,
( spl17_49
<=> ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF7)
| member(X1,x) ) ),
introduced(definition,[new_symbols(definition,[spl17_49])],[avatar_definition]) ).
fof(f554,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF7)
| member(X1,x) )
| ~ spl17_49 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f555,plain,
( spl17_49
| ~ spl17_35 ),
inference(avatar_split_clause,[],[f481,f449,f553]) ).
fof(f559,definition,
( spl17_50
<=> ! [X0] :
( ~ member(not_subclass_element(sF16,X0),sF15)
| subclass(sF16,X0) ) ),
introduced(definition,[new_symbols(definition,[spl17_50])],[avatar_definition]) ).
fof(f560,plain,
( ! [X0] :
( ~ member(not_subclass_element(sF16,X0),sF15)
| subclass(sF16,X0) )
| ~ spl17_50 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f561,plain,
( spl17_50
| ~ spl17_18 ),
inference(avatar_split_clause,[],[f328,f325,f559]) ).
fof(f563,plain,
( ! [X0] :
( subclass(sF16,X0)
| ~ member(not_subclass_element(sF16,X0),sF14)
| ~ member(not_subclass_element(sF16,X0),sF10) )
| ~ spl17_7
| ~ spl17_50 ),
inference(resolution,[],[f560,f270]) ).
fof(f567,definition,
( spl17_51
<=> ! [X0] :
( subclass(sF16,X0)
| ~ member(not_subclass_element(sF16,X0),sF14)
| ~ member(not_subclass_element(sF16,X0),sF10) ) ),
introduced(definition,[new_symbols(definition,[spl17_51])],[avatar_definition]) ).
fof(f568,plain,
( ! [X0] :
( ~ member(not_subclass_element(sF16,X0),sF14)
| subclass(sF16,X0)
| ~ member(not_subclass_element(sF16,X0),sF10) )
| ~ spl17_51 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f569,plain,
( spl17_51
| ~ spl17_7
| ~ spl17_50 ),
inference(avatar_split_clause,[],[f563,f559,f269,f567]) ).
fof(f572,plain,
( ! [X0,X1] :
( subclass(sF16,X0)
| ~ member(not_subclass_element(sF16,X0),sF10)
| ~ member(not_subclass_element(sF16,X0),X1)
| ~ subclass(X1,sF14) )
| ~ spl17_51 ),
inference(resolution,[],[f568,f1]) ).
fof(f581,definition,
( spl17_53
<=> ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF11)
| member(X1,y) ) ),
introduced(definition,[new_symbols(definition,[spl17_53])],[avatar_definition]) ).
fof(f582,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF11)
| member(X1,y) )
| ~ spl17_53 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f583,plain,
( spl17_53
| ~ spl17_36 ),
inference(avatar_split_clause,[],[f478,f454,f581]) ).
fof(f587,definition,
( spl17_54
<=> ! [X0,X1] :
( member(X0,sF9)
| null_class = intersection(sF8,cross_product(unordered_pair(X0,X0),universal_class))
| ~ member(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl17_54])],[avatar_definition]) ).
fof(f588,plain,
( ! [X0,X1] :
( member(X0,sF9)
| null_class = intersection(sF8,cross_product(unordered_pair(X0,X0),universal_class))
| ~ member(X0,X1) )
| ~ spl17_54 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f589,plain,
( spl17_54
| ~ spl17_13 ),
inference(avatar_split_clause,[],[f501,f297,f587]) ).
fof(f591,definition,
( spl17_55
<=> ! [X0,X1] :
( member(X0,sF13)
| null_class = intersection(sF12,cross_product(unordered_pair(X0,X0),universal_class))
| ~ member(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl17_55])],[avatar_definition]) ).
fof(f592,plain,
( ! [X0,X1] :
( member(X0,sF13)
| null_class = intersection(sF12,cross_product(unordered_pair(X0,X0),universal_class))
| ~ member(X0,X1) )
| ~ spl17_55 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f593,plain,
( spl17_55
| ~ spl17_15 ),
inference(avatar_split_clause,[],[f502,f307,f591]) ).
fof(f597,plain,
( ! [X0,X1] :
( null_class = intersection(sF5,cross_product(unordered_pair(not_subclass_element(X0,sF6),not_subclass_element(X0,sF6)),universal_class))
| ~ member(not_subclass_element(X0,sF6),X1)
| subclass(X0,sF6) )
| ~ spl17_48 ),
inference(resolution,[],[f544,f3]) ).
fof(f599,definition,
( spl17_56
<=> ! [X0] :
( ~ member(X0,sF13)
| ~ member(X0,sF15) ) ),
introduced(definition,[new_symbols(definition,[spl17_56])],[avatar_definition]) ).
fof(f600,plain,
( ! [X0] :
( ~ member(X0,sF15)
| ~ member(X0,sF13) )
| ~ spl17_56 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f601,plain,
( spl17_56
| ~ spl17_6
| ~ spl17_42 ),
inference(avatar_split_clause,[],[f497,f493,f265,f599]) ).
fof(f604,plain,
( ! [X0,X1] :
( ~ member(not_subclass_element(X0,sF16),sF13)
| ~ member(not_subclass_element(X0,sF16),X1)
| subclass(X0,sF16) )
| ~ spl17_25
| ~ spl17_56 ),
inference(resolution,[],[f600,f392]) ).
fof(f606,plain,
( ! [X0] :
( ~ member(not_subclass_element(X0,sF16),sF13)
| subclass(X0,sF16) )
| ~ spl17_25
| ~ spl17_56 ),
inference(condensation,[],[f604]) ).
fof(f608,definition,
( spl17_57
<=> ! [X0] :
( ~ member(not_subclass_element(X0,sF16),sF13)
| subclass(X0,sF16) ) ),
introduced(definition,[new_symbols(definition,[spl17_57])],[avatar_definition]) ).
fof(f609,plain,
( ! [X0] :
( ~ member(not_subclass_element(X0,sF16),sF13)
| subclass(X0,sF16) )
| ~ spl17_57 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f610,plain,
( spl17_57
| ~ spl17_25
| ~ spl17_56 ),
inference(avatar_split_clause,[],[f606,f599,f391,f608]) ).
fof(f617,definition,
( spl17_58
<=> ! [X0] :
( ~ member(X0,sF9)
| ~ member(X0,sF15) ) ),
introduced(definition,[new_symbols(definition,[spl17_58])],[avatar_definition]) ).
fof(f618,plain,
( ! [X0] :
( ~ member(X0,sF15)
| ~ member(X0,sF9) )
| ~ spl17_58 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f619,plain,
( spl17_58
| ~ spl17_5
| ~ spl17_41 ),
inference(avatar_split_clause,[],[f489,f485,f261,f617]) ).
fof(f622,plain,
( ! [X0,X1] :
( ~ member(not_subclass_element(X0,sF16),sF9)
| ~ member(not_subclass_element(X0,sF16),X1)
| subclass(X0,sF16) )
| ~ spl17_25
| ~ spl17_58 ),
inference(resolution,[],[f618,f392]) ).
fof(f624,plain,
( ! [X0] :
( ~ member(not_subclass_element(X0,sF16),sF9)
| subclass(X0,sF16) )
| ~ spl17_25
| ~ spl17_58 ),
inference(condensation,[],[f622]) ).
fof(f626,definition,
( spl17_59
<=> ! [X0] :
( ~ member(not_subclass_element(X0,sF16),sF9)
| subclass(X0,sF16) ) ),
introduced(definition,[new_symbols(definition,[spl17_59])],[avatar_definition]) ).
fof(f627,plain,
( ! [X0] :
( ~ member(not_subclass_element(X0,sF16),sF9)
| subclass(X0,sF16) )
| ~ spl17_59 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f628,plain,
( spl17_59
| ~ spl17_25
| ~ spl17_58 ),
inference(avatar_split_clause,[],[f624,f617,f391,f626]) ).
fof(f633,definition,
( spl17_60
<=> ! [X0] :
( ~ member(X0,sF7)
| unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl17_60])],[avatar_definition]) ).
fof(f634,plain,
( ! [X0] :
( ~ member(X0,sF7)
| unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 )
| ~ spl17_60 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f635,plain,
( spl17_60
| ~ spl17_35 ),
inference(avatar_split_clause,[],[f483,f449,f633]) ).
fof(f654,definition,
( spl17_63
<=> ! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| ~ member(X1,sF3)
| ~ member(X0,universal_class) ) ),
introduced(definition,[new_symbols(definition,[spl17_63])],[avatar_definition]) ).
fof(f655,plain,
( ! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| ~ member(X1,sF3)
| ~ member(X0,universal_class) )
| ~ spl17_63 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f656,plain,
( spl17_63
| ~ spl17_37 ),
inference(avatar_split_clause,[],[f549,f459,f654]) ).
fof(f660,definition,
( spl17_64
<=> ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF7)
| member(X0,universal_class) ) ),
introduced(definition,[new_symbols(definition,[spl17_64])],[avatar_definition]) ).
fof(f661,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF7)
| member(X0,universal_class) )
| ~ spl17_64 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f662,plain,
( spl17_64
| ~ spl17_35 ),
inference(avatar_split_clause,[],[f482,f449,f660]) ).
fof(f663,plain,
( ! [X0,X1] :
( member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF8) )
| ~ spl17_30
| ~ spl17_64 ),
inference(resolution,[],[f661,f422]) ).
fof(f666,definition,
( spl17_65
<=> ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF11)
| member(X0,universal_class) ) ),
introduced(definition,[new_symbols(definition,[spl17_65])],[avatar_definition]) ).
fof(f667,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF11)
| member(X0,universal_class) )
| ~ spl17_65 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f668,plain,
( spl17_65
| ~ spl17_36 ),
inference(avatar_split_clause,[],[f479,f454,f666]) ).
fof(f669,plain,
( ! [X0,X1] :
( member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF12) )
| ~ spl17_33
| ~ spl17_65 ),
inference(resolution,[],[f667,f440]) ).
fof(f672,definition,
( spl17_66
<=> ! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF7)
| ~ member(X1,x)
| ~ member(X0,universal_class) ) ),
introduced(definition,[new_symbols(definition,[spl17_66])],[avatar_definition]) ).
fof(f673,plain,
( ! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF7)
| ~ member(X1,x)
| ~ member(X0,universal_class) )
| ~ spl17_66 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f674,plain,
( spl17_66
| ~ spl17_35 ),
inference(avatar_split_clause,[],[f551,f449,f672]) ).
fof(f682,definition,
( spl17_67
<=> ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| member(X0,universal_class) ) ),
introduced(definition,[new_symbols(definition,[spl17_67])],[avatar_definition]) ).
fof(f683,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| member(X0,universal_class) )
| ~ spl17_67 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f684,plain,
( spl17_67
| ~ spl17_37 ),
inference(avatar_split_clause,[],[f464,f459,f682]) ).
fof(f686,plain,
( ! [X0,X1] :
( member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF5) )
| ~ spl17_27
| ~ spl17_67 ),
inference(resolution,[],[f683,f404]) ).
fof(f689,definition,
( spl17_68
<=> ! [X0] :
( ~ member(X0,x)
| ~ member(X0,sF2) ) ),
introduced(definition,[new_symbols(definition,[spl17_68])],[avatar_definition]) ).
fof(f690,plain,
( ! [X0] :
( ~ member(X0,sF2)
| ~ member(X0,x) )
| ~ spl17_68 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f691,plain,
( spl17_68
| ~ spl17_10
| ~ spl17_45 ),
inference(avatar_split_clause,[],[f534,f520,f285,f689]) ).
fof(f696,definition,
( spl17_69
<=> ! [X0] :
( ~ member(X0,y)
| ~ member(X0,sF2) ) ),
introduced(definition,[new_symbols(definition,[spl17_69])],[avatar_definition]) ).
fof(f697,plain,
( ! [X0] :
( ~ member(X0,sF2)
| ~ member(X0,y) )
| ~ spl17_69 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f698,plain,
( spl17_69
| ~ spl17_12
| ~ spl17_46 ),
inference(avatar_split_clause,[],[f538,f524,f293,f696]) ).
fof(f703,definition,
( spl17_70
<=> ! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF11)
| ~ member(X1,y)
| ~ member(X0,universal_class) ) ),
introduced(definition,[new_symbols(definition,[spl17_70])],[avatar_definition]) ).
fof(f704,plain,
( ! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF11)
| ~ member(X1,y)
| ~ member(X0,universal_class) )
| ~ spl17_70 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f705,plain,
( spl17_70
| ~ spl17_36 ),
inference(avatar_split_clause,[],[f550,f454,f703]) ).
fof(f710,definition,
( spl17_71
<=> ! [X0,X1] :
( null_class = intersection(sF5,cross_product(unordered_pair(not_subclass_element(X0,sF6),not_subclass_element(X0,sF6)),universal_class))
| ~ member(not_subclass_element(X0,sF6),X1)
| subclass(X0,sF6) ) ),
introduced(definition,[new_symbols(definition,[spl17_71])],[avatar_definition]) ).
fof(f711,plain,
( ! [X0,X1] :
( subclass(X0,sF6)
| ~ member(not_subclass_element(X0,sF6),X1)
| null_class = intersection(sF5,cross_product(unordered_pair(not_subclass_element(X0,sF6),not_subclass_element(X0,sF6)),universal_class)) )
| ~ spl17_71 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f712,plain,
( spl17_71
| ~ spl17_48 ),
inference(avatar_split_clause,[],[f597,f543,f710]) ).
fof(f713,plain,
( ! [X0,X1] :
( ~ member(not_subclass_element(X0,sF6),X1)
| null_class = intersection(sF5,cross_product(unordered_pair(not_subclass_element(X0,sF6),not_subclass_element(X0,sF6)),universal_class))
| ~ subclass(sF6,X0)
| sF6 = X0 )
| ~ spl17_71 ),
inference(resolution,[],[f711,f7]) ).
fof(f755,plain,
( ! [X0,X1] :
( null_class = intersection(sF8,cross_product(unordered_pair(not_subclass_element(X0,sF16),not_subclass_element(X0,sF16)),universal_class))
| ~ member(not_subclass_element(X0,sF16),X1)
| subclass(X0,sF16) )
| ~ spl17_54
| ~ spl17_59 ),
inference(resolution,[],[f588,f627]) ).
fof(f757,plain,
( ! [X0,X1] :
( null_class = intersection(sF12,cross_product(unordered_pair(not_subclass_element(X0,sF16),not_subclass_element(X0,sF16)),universal_class))
| ~ member(not_subclass_element(X0,sF16),X1)
| subclass(X0,sF16) )
| ~ spl17_55
| ~ spl17_57 ),
inference(resolution,[],[f592,f609]) ).
fof(f760,definition,
( spl17_75
<=> ! [X0,X1] :
( null_class = intersection(sF8,cross_product(unordered_pair(not_subclass_element(X0,sF16),not_subclass_element(X0,sF16)),universal_class))
| ~ member(not_subclass_element(X0,sF16),X1)
| subclass(X0,sF16) ) ),
introduced(definition,[new_symbols(definition,[spl17_75])],[avatar_definition]) ).
fof(f761,plain,
( ! [X0,X1] :
( subclass(X0,sF16)
| ~ member(not_subclass_element(X0,sF16),X1)
| null_class = intersection(sF8,cross_product(unordered_pair(not_subclass_element(X0,sF16),not_subclass_element(X0,sF16)),universal_class)) )
| ~ spl17_75 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f762,plain,
( spl17_75
| ~ spl17_54
| ~ spl17_59 ),
inference(avatar_split_clause,[],[f755,f626,f587,f760]) ).
fof(f764,definition,
( spl17_76
<=> ! [X0,X1] :
( null_class = intersection(sF12,cross_product(unordered_pair(not_subclass_element(X0,sF16),not_subclass_element(X0,sF16)),universal_class))
| ~ member(not_subclass_element(X0,sF16),X1)
| subclass(X0,sF16) ) ),
introduced(definition,[new_symbols(definition,[spl17_76])],[avatar_definition]) ).
fof(f765,plain,
( ! [X0,X1] :
( subclass(X0,sF16)
| ~ member(not_subclass_element(X0,sF16),X1)
| null_class = intersection(sF12,cross_product(unordered_pair(not_subclass_element(X0,sF16),not_subclass_element(X0,sF16)),universal_class)) )
| ~ spl17_76 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f766,plain,
( spl17_76
| ~ spl17_55
| ~ spl17_57 ),
inference(avatar_split_clause,[],[f757,f608,f591,f764]) ).
fof(f770,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X1)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f68,f22]) ).
fof(f771,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X0)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f68,f21]) ).
fof(f799,plain,
! [X0,X1] :
( ~ member(regular(intersection(complement(X0),X1)),X0)
| null_class = intersection(complement(X0),X1) ),
inference(resolution,[],[f771,f24]) ).
fof(f839,plain,
! [X2,X0,X1] :
( intersection(X0,cross_product(X1,X2)) = null_class
| regular(intersection(X0,cross_product(X1,X2))) = unordered_pair(unordered_pair(first(regular(intersection(X0,cross_product(X1,X2)))),first(regular(intersection(X0,cross_product(X1,X2))))),unordered_pair(first(regular(intersection(X0,cross_product(X1,X2)))),unordered_pair(second(regular(intersection(X0,cross_product(X1,X2)))),second(regular(intersection(X0,cross_product(X1,X2))))))) ),
inference(resolution,[],[f770,f139]) ).
fof(f841,plain,
! [X2,X0,X1] :
( member(regular(intersection(X0,intersection(X1,X2))),X1)
| null_class = intersection(X0,intersection(X1,X2)) ),
inference(resolution,[],[f770,f21]) ).
fof(f850,plain,
( ! [X0] :
( null_class = intersection(X0,sF7)
| regular(intersection(X0,sF7)) = unordered_pair(unordered_pair(first(regular(intersection(X0,sF7))),first(regular(intersection(X0,sF7)))),unordered_pair(first(regular(intersection(X0,sF7))),unordered_pair(second(regular(intersection(X0,sF7))),second(regular(intersection(X0,sF7)))))) )
| ~ spl17_60 ),
inference(resolution,[],[f770,f634]) ).
fof(f869,plain,
! [X0,X1] :
( null_class != null_class
| ~ member(X1,domain_of(X0))
| regular(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)))),first(regular(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))))),unordered_pair(first(regular(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)))),unordered_pair(second(regular(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)))),second(regular(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))))))) ),
inference(superposition,[],[f143,f839]) ).
fof(f878,plain,
! [X0,X1] :
( ~ member(X1,domain_of(X0))
| regular(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)))),first(regular(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))))),unordered_pair(first(regular(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)))),unordered_pair(second(regular(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)))),second(regular(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))))))) ),
inference(trivial_inequality_removal,[],[f869]) ).
fof(f887,plain,
( ! [X0] :
( ~ member(X0,sF9)
| regular(intersection(sF8,cross_product(unordered_pair(X0,X0),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(sF8,cross_product(unordered_pair(X0,X0),universal_class)))),first(regular(intersection(sF8,cross_product(unordered_pair(X0,X0),universal_class))))),unordered_pair(first(regular(intersection(sF8,cross_product(unordered_pair(X0,X0),universal_class)))),unordered_pair(second(regular(intersection(sF8,cross_product(unordered_pair(X0,X0),universal_class)))),second(regular(intersection(sF8,cross_product(unordered_pair(X0,X0),universal_class))))))) )
| ~ spl17_13 ),
inference(superposition,[],[f878,f299]) ).
fof(f888,plain,
( ! [X0] :
( ~ member(X0,sF13)
| regular(intersection(sF12,cross_product(unordered_pair(X0,X0),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(sF12,cross_product(unordered_pair(X0,X0),universal_class)))),first(regular(intersection(sF12,cross_product(unordered_pair(X0,X0),universal_class))))),unordered_pair(first(regular(intersection(sF12,cross_product(unordered_pair(X0,X0),universal_class)))),unordered_pair(second(regular(intersection(sF12,cross_product(unordered_pair(X0,X0),universal_class)))),second(regular(intersection(sF12,cross_product(unordered_pair(X0,X0),universal_class))))))) )
| ~ spl17_15 ),
inference(superposition,[],[f878,f309]) ).
fof(f889,plain,
( ! [X0] :
( ~ member(X0,sF6)
| regular(intersection(sF5,cross_product(unordered_pair(X0,X0),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(sF5,cross_product(unordered_pair(X0,X0),universal_class)))),first(regular(intersection(sF5,cross_product(unordered_pair(X0,X0),universal_class))))),unordered_pair(first(regular(intersection(sF5,cross_product(unordered_pair(X0,X0),universal_class)))),unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(X0,X0),universal_class)))),second(regular(intersection(sF5,cross_product(unordered_pair(X0,X0),universal_class))))))) )
| ~ spl17_17 ),
inference(superposition,[],[f878,f320]) ).
fof(f891,definition,
( spl17_79
<=> ! [X0] :
( ~ member(X0,sF6)
| regular(intersection(sF5,cross_product(unordered_pair(X0,X0),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(sF5,cross_product(unordered_pair(X0,X0),universal_class)))),first(regular(intersection(sF5,cross_product(unordered_pair(X0,X0),universal_class))))),unordered_pair(first(regular(intersection(sF5,cross_product(unordered_pair(X0,X0),universal_class)))),unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(X0,X0),universal_class)))),second(regular(intersection(sF5,cross_product(unordered_pair(X0,X0),universal_class))))))) ) ),
introduced(definition,[new_symbols(definition,[spl17_79])],[avatar_definition]) ).
fof(f892,plain,
( ! [X0] :
( ~ member(X0,sF6)
| regular(intersection(sF5,cross_product(unordered_pair(X0,X0),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(sF5,cross_product(unordered_pair(X0,X0),universal_class)))),first(regular(intersection(sF5,cross_product(unordered_pair(X0,X0),universal_class))))),unordered_pair(first(regular(intersection(sF5,cross_product(unordered_pair(X0,X0),universal_class)))),unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(X0,X0),universal_class)))),second(regular(intersection(sF5,cross_product(unordered_pair(X0,X0),universal_class))))))) )
| ~ spl17_79 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f893,plain,
( spl17_79
| ~ spl17_17 ),
inference(avatar_split_clause,[],[f889,f318,f891]) ).
fof(f896,plain,
( ! [X0] :
( regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,X0),not_subclass_element(sF6,X0)),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,X0),not_subclass_element(sF6,X0)),universal_class)))),first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,X0),not_subclass_element(sF6,X0)),universal_class))))),unordered_pair(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,X0),not_subclass_element(sF6,X0)),universal_class)))),unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,X0),not_subclass_element(sF6,X0)),universal_class)))),second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,X0),not_subclass_element(sF6,X0)),universal_class)))))))
| subclass(sF6,X0) )
| ~ spl17_79 ),
inference(resolution,[],[f892,f2]) ).
fof(f901,definition,
( spl17_80
<=> ! [X0] :
( ~ member(X0,sF13)
| regular(intersection(sF12,cross_product(unordered_pair(X0,X0),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(sF12,cross_product(unordered_pair(X0,X0),universal_class)))),first(regular(intersection(sF12,cross_product(unordered_pair(X0,X0),universal_class))))),unordered_pair(first(regular(intersection(sF12,cross_product(unordered_pair(X0,X0),universal_class)))),unordered_pair(second(regular(intersection(sF12,cross_product(unordered_pair(X0,X0),universal_class)))),second(regular(intersection(sF12,cross_product(unordered_pair(X0,X0),universal_class))))))) ) ),
introduced(definition,[new_symbols(definition,[spl17_80])],[avatar_definition]) ).
fof(f902,plain,
( ! [X0] :
( ~ member(X0,sF13)
| regular(intersection(sF12,cross_product(unordered_pair(X0,X0),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(sF12,cross_product(unordered_pair(X0,X0),universal_class)))),first(regular(intersection(sF12,cross_product(unordered_pair(X0,X0),universal_class))))),unordered_pair(first(regular(intersection(sF12,cross_product(unordered_pair(X0,X0),universal_class)))),unordered_pair(second(regular(intersection(sF12,cross_product(unordered_pair(X0,X0),universal_class)))),second(regular(intersection(sF12,cross_product(unordered_pair(X0,X0),universal_class))))))) )
| ~ spl17_80 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f903,plain,
( spl17_80
| ~ spl17_15 ),
inference(avatar_split_clause,[],[f888,f307,f901]) ).
fof(f912,definition,
( spl17_81
<=> ! [X0] :
( ~ member(X0,sF9)
| regular(intersection(sF8,cross_product(unordered_pair(X0,X0),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(sF8,cross_product(unordered_pair(X0,X0),universal_class)))),first(regular(intersection(sF8,cross_product(unordered_pair(X0,X0),universal_class))))),unordered_pair(first(regular(intersection(sF8,cross_product(unordered_pair(X0,X0),universal_class)))),unordered_pair(second(regular(intersection(sF8,cross_product(unordered_pair(X0,X0),universal_class)))),second(regular(intersection(sF8,cross_product(unordered_pair(X0,X0),universal_class))))))) ) ),
introduced(definition,[new_symbols(definition,[spl17_81])],[avatar_definition]) ).
fof(f913,plain,
( ! [X0] :
( ~ member(X0,sF9)
| regular(intersection(sF8,cross_product(unordered_pair(X0,X0),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(sF8,cross_product(unordered_pair(X0,X0),universal_class)))),first(regular(intersection(sF8,cross_product(unordered_pair(X0,X0),universal_class))))),unordered_pair(first(regular(intersection(sF8,cross_product(unordered_pair(X0,X0),universal_class)))),unordered_pair(second(regular(intersection(sF8,cross_product(unordered_pair(X0,X0),universal_class)))),second(regular(intersection(sF8,cross_product(unordered_pair(X0,X0),universal_class))))))) )
| ~ spl17_81 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f914,plain,
( spl17_81
| ~ spl17_13 ),
inference(avatar_split_clause,[],[f887,f297,f912]) ).
fof(f922,definition,
( spl17_82
<=> ! [X0] :
( regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,X0),not_subclass_element(sF6,X0)),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,X0),not_subclass_element(sF6,X0)),universal_class)))),first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,X0),not_subclass_element(sF6,X0)),universal_class))))),unordered_pair(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,X0),not_subclass_element(sF6,X0)),universal_class)))),unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,X0),not_subclass_element(sF6,X0)),universal_class)))),second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,X0),not_subclass_element(sF6,X0)),universal_class)))))))
| subclass(sF6,X0) ) ),
introduced(definition,[new_symbols(definition,[spl17_82])],[avatar_definition]) ).
fof(f923,plain,
( ! [X0] :
( subclass(sF6,X0)
| regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,X0),not_subclass_element(sF6,X0)),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,X0),not_subclass_element(sF6,X0)),universal_class)))),first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,X0),not_subclass_element(sF6,X0)),universal_class))))),unordered_pair(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,X0),not_subclass_element(sF6,X0)),universal_class)))),unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,X0),not_subclass_element(sF6,X0)),universal_class)))),second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,X0),not_subclass_element(sF6,X0)),universal_class))))))) )
| ~ spl17_82 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f924,plain,
( spl17_82
| ~ spl17_79 ),
inference(avatar_split_clause,[],[f896,f891,f922]) ).
fof(f1014,definition,
( spl17_87
<=> ! [X0,X1] :
( member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF12) ) ),
introduced(definition,[new_symbols(definition,[spl17_87])],[avatar_definition]) ).
fof(f1015,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF12)
| member(X0,universal_class) )
| ~ spl17_87 ),
inference(avatar_component_clause,[],[f1014]) ).
fof(f1016,plain,
( spl17_87
| ~ spl17_33
| ~ spl17_65 ),
inference(avatar_split_clause,[],[f669,f666,f439,f1014]) ).
fof(f1020,definition,
( spl17_88
<=> ! [X0,X1] :
( member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF8) ) ),
introduced(definition,[new_symbols(definition,[spl17_88])],[avatar_definition]) ).
fof(f1021,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF8)
| member(X0,universal_class) )
| ~ spl17_88 ),
inference(avatar_component_clause,[],[f1020]) ).
fof(f1022,plain,
( spl17_88
| ~ spl17_30
| ~ spl17_64 ),
inference(avatar_split_clause,[],[f663,f660,f421,f1020]) ).
fof(f1074,definition,
( spl17_89
<=> ! [X0,X1] :
( member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF5) ) ),
introduced(definition,[new_symbols(definition,[spl17_89])],[avatar_definition]) ).
fof(f1075,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF5)
| member(X0,universal_class) )
| ~ spl17_89 ),
inference(avatar_component_clause,[],[f1074]) ).
fof(f1076,plain,
( spl17_89
| ~ spl17_27
| ~ spl17_67 ),
inference(avatar_split_clause,[],[f686,f682,f403,f1074]) ).
fof(f1087,plain,
( ! [X0,X1] :
( member(X0,X1)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF8) )
| ~ spl17_40 ),
inference(resolution,[],[f140,f476]) ).
fof(f1090,plain,
! [X0] :
( null_class = intersection(complement(X0),X0)
| null_class = intersection(complement(X0),X0) ),
inference(resolution,[],[f799,f770]) ).
fof(f1130,plain,
! [X0] : null_class = intersection(complement(X0),X0),
inference(duplicate_literal_removal,[],[f1090]) ).
fof(f1157,plain,
! [X0,X1] :
( ~ member(X0,null_class)
| member(X0,X1) ),
inference(superposition,[],[f22,f1130]) ).
fof(f1308,definition,
( spl17_92
<=> ! [X0,X1] :
( member(X0,X1)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF8) ) ),
introduced(definition,[new_symbols(definition,[spl17_92])],[avatar_definition]) ).
fof(f1309,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF8)
| member(X0,X1) )
| ~ spl17_92 ),
inference(avatar_component_clause,[],[f1308]) ).
fof(f1310,plain,
( spl17_92
| ~ spl17_40 ),
inference(avatar_split_clause,[],[f1087,f475,f1308]) ).
fof(f1571,plain,
( ! [X0,X1] :
( subclass(X0,sF16)
| ~ member(not_subclass_element(X0,sF16),X1)
| member(not_subclass_element(X0,sF16),sF15) )
| ~ spl17_14 ),
inference(superposition,[],[f376,f304]) ).
fof(f1586,definition,
( spl17_116
<=> ! [X0,X1] :
( ~ member(not_subclass_element(X0,sF6),X1)
| null_class = intersection(sF5,cross_product(unordered_pair(not_subclass_element(X0,sF6),not_subclass_element(X0,sF6)),universal_class))
| ~ subclass(sF6,X0)
| sF6 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl17_116])],[avatar_definition]) ).
fof(f1587,plain,
( ! [X0,X1] :
( ~ subclass(sF6,X0)
| null_class = intersection(sF5,cross_product(unordered_pair(not_subclass_element(X0,sF6),not_subclass_element(X0,sF6)),universal_class))
| ~ member(not_subclass_element(X0,sF6),X1)
| sF6 = X0 )
| ~ spl17_116 ),
inference(avatar_component_clause,[],[f1586]) ).
fof(f1588,plain,
( spl17_116
| ~ spl17_71 ),
inference(avatar_split_clause,[],[f713,f710,f1586]) ).
fof(f2027,plain,
! [X0,X1] :
( null_class = intersection(complement(X0),intersection(X0,X1))
| null_class = intersection(complement(X0),intersection(X0,X1)) ),
inference(resolution,[],[f841,f799]) ).
fof(f2069,plain,
! [X0,X1] : null_class = intersection(complement(X0),intersection(X0,X1)),
inference(duplicate_literal_removal,[],[f2027]) ).
fof(f2109,plain,
! [X0,X1] :
( ~ member(X0,null_class)
| member(X0,complement(X1)) ),
inference(superposition,[],[f21,f2069]) ).
fof(f2535,definition,
( spl17_167
<=> ! [X0] :
( null_class = intersection(X0,sF7)
| regular(intersection(X0,sF7)) = unordered_pair(unordered_pair(first(regular(intersection(X0,sF7))),first(regular(intersection(X0,sF7)))),unordered_pair(first(regular(intersection(X0,sF7))),unordered_pair(second(regular(intersection(X0,sF7))),second(regular(intersection(X0,sF7)))))) ) ),
introduced(definition,[new_symbols(definition,[spl17_167])],[avatar_definition]) ).
fof(f2537,plain,
( spl17_167
| ~ spl17_60 ),
inference(avatar_split_clause,[],[f850,f633,f2535]) ).
fof(f2539,definition,
( spl17_168
<=> ! [X0,X1] :
( subclass(sF16,X0)
| ~ member(not_subclass_element(sF16,X0),sF10)
| ~ member(not_subclass_element(sF16,X0),X1)
| ~ subclass(X1,sF14) ) ),
introduced(definition,[new_symbols(definition,[spl17_168])],[avatar_definition]) ).
fof(f2540,plain,
( ! [X0,X1] :
( ~ member(not_subclass_element(sF16,X0),sF10)
| subclass(sF16,X0)
| ~ member(not_subclass_element(sF16,X0),X1)
| ~ subclass(X1,sF14) )
| ~ spl17_168 ),
inference(avatar_component_clause,[],[f2539]) ).
fof(f2541,plain,
( spl17_168
| ~ spl17_51 ),
inference(avatar_split_clause,[],[f572,f567,f2539]) ).
fof(f3519,plain,
( ! [X0] : ~ member(X0,null_class)
| ~ spl17_167 ),
inference(global_subsumption,[],[f2109,f1157,f24]) ).
fof(f4812,plain,
( spl17_25
| ~ spl17_14 ),
inference(avatar_split_clause,[],[f1571,f302,f391]) ).
fof(f4861,plain,
( ! [X2,X0,X1] :
( ~ member(not_subclass_element(sF16,X0),X1)
| member(not_subclass_element(sF16,X0),sF9)
| subclass(sF16,X0)
| ~ member(not_subclass_element(sF16,X0),X2)
| ~ subclass(X2,sF14) )
| ~ spl17_20
| ~ spl17_168 ),
inference(resolution,[],[f351,f2540]) ).
fof(f4868,plain,
( ! [X0,X1] :
( ~ member(not_subclass_element(sF16,X0),X1)
| member(not_subclass_element(sF16,X0),sF9)
| subclass(sF16,X0)
| ~ subclass(X1,sF14) )
| ~ spl17_20
| ~ spl17_168 ),
inference(condensation,[],[f4861]) ).
fof(f5032,plain,
( ! [X0,X1] :
( ~ member(not_subclass_element(sF6,sF16),X0)
| null_class = intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))
| null_class = intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))
| ~ member(not_subclass_element(sF16,sF6),X1)
| sF6 = sF16 )
| ~ spl17_75
| ~ spl17_116 ),
inference(resolution,[],[f761,f1587]) ).
fof(f5034,plain,
( ! [X0,X1] :
( ~ member(not_subclass_element(sF6,sF16),X0)
| null_class = intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))
| null_class = intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))
| ~ member(not_subclass_element(sF16,sF6),X1) )
| spl17_43
| ~ spl17_75
| ~ spl17_116 ),
inference(forward_subsumption_resolution,[],[f5032,f506]) ).
fof(f5036,definition,
( spl17_230
<=> ! [X1] : ~ member(not_subclass_element(sF16,sF6),X1) ),
introduced(definition,[new_symbols(definition,[spl17_230])],[avatar_definition]) ).
fof(f5037,plain,
( ! [X1] : ~ member(not_subclass_element(sF16,sF6),X1)
| ~ spl17_230 ),
inference(avatar_component_clause,[],[f5036]) ).
fof(f5039,definition,
( spl17_231
<=> null_class = intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)) ),
introduced(definition,[new_symbols(definition,[spl17_231])],[avatar_definition]) ).
fof(f5041,plain,
( null_class = intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))
| ~ spl17_231 ),
inference(avatar_component_clause,[],[f5039]) ).
fof(f5043,definition,
( spl17_232
<=> null_class = intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)) ),
introduced(definition,[new_symbols(definition,[spl17_232])],[avatar_definition]) ).
fof(f5044,plain,
( null_class != intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))
| spl17_232 ),
inference(avatar_component_clause,[],[f5043]) ).
fof(f5045,plain,
( null_class = intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))
| ~ spl17_232 ),
inference(avatar_component_clause,[],[f5043]) ).
fof(f5047,definition,
( spl17_233
<=> ! [X0] : ~ member(not_subclass_element(sF6,sF16),X0) ),
introduced(definition,[new_symbols(definition,[spl17_233])],[avatar_definition]) ).
fof(f5048,plain,
( ! [X0] : ~ member(not_subclass_element(sF6,sF16),X0)
| ~ spl17_233 ),
inference(avatar_component_clause,[],[f5047]) ).
fof(f5049,plain,
( spl17_230
| spl17_231
| spl17_232
| spl17_233
| spl17_43
| ~ spl17_75
| ~ spl17_116 ),
inference(avatar_split_clause,[],[f5034,f1586,f760,f504,f5047,f5043,f5039,f5036]) ).
fof(f5050,plain,
( subclass(sF6,sF16)
| ~ spl17_233 ),
inference(resolution,[],[f5048,f2]) ).
fof(f5088,definition,
( spl17_234
<=> subclass(sF6,sF16) ),
introduced(definition,[new_symbols(definition,[spl17_234])],[avatar_definition]) ).
fof(f5089,plain,
( ~ subclass(sF6,sF16)
| spl17_234 ),
inference(avatar_component_clause,[],[f5088]) ).
fof(f5090,plain,
( subclass(sF6,sF16)
| ~ spl17_234 ),
inference(avatar_component_clause,[],[f5088]) ).
fof(f5091,plain,
( spl17_234
| ~ spl17_233 ),
inference(avatar_split_clause,[],[f5050,f5047,f5088]) ).
fof(f5092,plain,
( ! [X0] :
( null_class = intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))
| ~ member(not_subclass_element(sF16,sF6),X0)
| sF6 = sF16 )
| ~ spl17_116
| ~ spl17_234 ),
inference(resolution,[],[f5090,f1587]) ).
fof(f5093,plain,
( ~ subclass(sF16,sF6)
| sF6 = sF16
| ~ spl17_234 ),
inference(resolution,[],[f5090,f7]) ).
fof(f5094,plain,
( ~ subclass(sF16,sF6)
| spl17_43
| ~ spl17_234 ),
inference(forward_subsumption_resolution,[],[f5093,f506]) ).
fof(f5095,plain,
( ! [X0] :
( null_class = intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))
| ~ member(not_subclass_element(sF16,sF6),X0) )
| spl17_43
| ~ spl17_116
| ~ spl17_234 ),
inference(forward_subsumption_resolution,[],[f5092,f506]) ).
fof(f5096,plain,
( spl17_230
| spl17_231
| spl17_43
| ~ spl17_116
| ~ spl17_234 ),
inference(avatar_split_clause,[],[f5095,f5088,f1586,f504,f5039,f5036]) ).
fof(f5101,plain,
( ! [X0] :
( member(X0,null_class)
| ~ member(X0,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))
| ~ member(X0,sF8) )
| ~ spl17_232 ),
inference(superposition,[],[f23,f5045]) ).
fof(f5116,plain,
( ! [X0] :
( ~ member(X0,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))
| ~ member(X0,sF8) )
| ~ spl17_167
| ~ spl17_232 ),
inference(forward_subsumption_resolution,[],[f5101,f3519]) ).
fof(f5126,definition,
( spl17_236
<=> ! [X0] :
( ~ member(X0,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))
| ~ member(X0,sF8) ) ),
introduced(definition,[new_symbols(definition,[spl17_236])],[avatar_definition]) ).
fof(f5127,plain,
( ! [X0] :
( ~ member(X0,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))
| ~ member(X0,sF8) )
| ~ spl17_236 ),
inference(avatar_component_clause,[],[f5126]) ).
fof(f5128,plain,
( spl17_236
| ~ spl17_167
| ~ spl17_232 ),
inference(avatar_split_clause,[],[f5116,f5043,f2535,f5126]) ).
fof(f5131,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF8)
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16))) )
| ~ spl17_236 ),
inference(resolution,[],[f5127,f138]) ).
fof(f5135,plain,
( ! [X0] :
( ~ member(regular(intersection(X0,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF8)
| null_class = intersection(X0,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)) )
| ~ spl17_236 ),
inference(resolution,[],[f5127,f770]) ).
fof(f5141,definition,
( spl17_237
<=> ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF8)
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16))) ) ),
introduced(definition,[new_symbols(definition,[spl17_237])],[avatar_definition]) ).
fof(f5142,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF8)
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16))) )
| ~ spl17_237 ),
inference(avatar_component_clause,[],[f5141]) ).
fof(f5143,plain,
( spl17_237
| ~ spl17_236 ),
inference(avatar_split_clause,[],[f5131,f5126,f5141]) ).
fof(f5144,plain,
( ! [X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)))
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF7)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),element_relation) )
| ~ spl17_31
| ~ spl17_237 ),
inference(resolution,[],[f5142,f426]) ).
fof(f5148,definition,
( spl17_238
<=> ! [X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)))
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF7)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),element_relation) ) ),
introduced(definition,[new_symbols(definition,[spl17_238])],[avatar_definition]) ).
fof(f5149,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF7)
| ~ member(X1,unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)))
| ~ member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),element_relation) )
| ~ spl17_238 ),
inference(avatar_component_clause,[],[f5148]) ).
fof(f5150,plain,
( spl17_238
| ~ spl17_31
| ~ spl17_237 ),
inference(avatar_split_clause,[],[f5144,f5141,f425,f5148]) ).
fof(f5151,plain,
( ! [X0,X1] :
( ~ member(X0,unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)))
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
| ~ member(X1,x)
| ~ member(X0,universal_class) )
| ~ spl17_66
| ~ spl17_238 ),
inference(resolution,[],[f5149,f673]) ).
fof(f5156,definition,
( spl17_239
<=> ! [X0] :
( ~ member(regular(intersection(X0,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF8)
| null_class = intersection(X0,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)) ) ),
introduced(definition,[new_symbols(definition,[spl17_239])],[avatar_definition]) ).
fof(f5157,plain,
( ! [X0] :
( ~ member(regular(intersection(X0,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF8)
| null_class = intersection(X0,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)) )
| ~ spl17_239 ),
inference(avatar_component_clause,[],[f5156]) ).
fof(f5158,plain,
( spl17_239
| ~ spl17_236 ),
inference(avatar_split_clause,[],[f5135,f5126,f5156]) ).
fof(f5162,plain,
( ! [X0] :
( null_class = intersection(X0,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))
| ~ member(regular(intersection(X0,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF7)
| ~ member(regular(intersection(X0,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),element_relation) )
| ~ spl17_31
| ~ spl17_239 ),
inference(resolution,[],[f5157,f426]) ).
fof(f5172,definition,
( spl17_240
<=> ! [X0] :
( null_class = intersection(X0,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))
| ~ member(regular(intersection(X0,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF7)
| ~ member(regular(intersection(X0,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),element_relation) ) ),
introduced(definition,[new_symbols(definition,[spl17_240])],[avatar_definition]) ).
fof(f5173,plain,
( ! [X0] :
( ~ member(regular(intersection(X0,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF7)
| null_class = intersection(X0,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))
| ~ member(regular(intersection(X0,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),element_relation) )
| ~ spl17_240 ),
inference(avatar_component_clause,[],[f5172]) ).
fof(f5174,plain,
( spl17_240
| ~ spl17_31
| ~ spl17_239 ),
inference(avatar_split_clause,[],[f5162,f5156,f425,f5172]) ).
fof(f5287,plain,
( regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))))),unordered_pair(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))))))
| ~ spl17_82
| spl17_234 ),
inference(resolution,[],[f5089,f923]) ).
fof(f5288,plain,
( ! [X0] :
( ~ member(not_subclass_element(sF6,sF16),X0)
| null_class = intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)) )
| ~ spl17_75
| spl17_234 ),
inference(resolution,[],[f5089,f761]) ).
fof(f5292,definition,
( spl17_248
<=> regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))))),unordered_pair(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))))))) ),
introduced(definition,[new_symbols(definition,[spl17_248])],[avatar_definition]) ).
fof(f5294,plain,
( regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))))),unordered_pair(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))))))
| ~ spl17_248 ),
inference(avatar_component_clause,[],[f5292]) ).
fof(f5295,plain,
( spl17_248
| ~ spl17_82
| spl17_234 ),
inference(avatar_split_clause,[],[f5287,f5088,f922,f5292]) ).
fof(f5298,plain,
( ! [X0,X1] :
( ~ member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),cross_product(X0,X1))
| member(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),X0) )
| ~ spl17_248 ),
inference(superposition,[],[f136,f5294]) ).
fof(f5299,plain,
( ! [X0,X1] :
( ~ member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),cross_product(X0,X1))
| member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),X1) )
| ~ spl17_248 ),
inference(superposition,[],[f137,f5294]) ).
fof(f5303,plain,
( ~ member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF4)
| member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),sF3)
| ~ spl17_47
| ~ spl17_248 ),
inference(superposition,[],[f529,f5294]) ).
fof(f5309,plain,
( member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF7)
| ~ member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),x)
| ~ member(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),universal_class)
| ~ spl17_66
| ~ spl17_248 ),
inference(superposition,[],[f673,f5294]) ).
fof(f5310,plain,
( ~ member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF4)
| member(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),universal_class)
| ~ spl17_67
| ~ spl17_248 ),
inference(superposition,[],[f683,f5294]) ).
fof(f5311,plain,
( member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF11)
| ~ member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),y)
| ~ member(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),universal_class)
| ~ spl17_70
| ~ spl17_248 ),
inference(superposition,[],[f704,f5294]) ).
fof(f5346,definition,
( spl17_249
<=> member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),sF3) ),
introduced(definition,[new_symbols(definition,[spl17_249])],[avatar_definition]) ).
fof(f5348,plain,
( member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),sF3)
| ~ spl17_249 ),
inference(avatar_component_clause,[],[f5346]) ).
fof(f5350,definition,
( spl17_250
<=> member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF4) ),
introduced(definition,[new_symbols(definition,[spl17_250])],[avatar_definition]) ).
fof(f5351,plain,
( member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF4)
| ~ spl17_250 ),
inference(avatar_component_clause,[],[f5350]) ).
fof(f5352,plain,
( ~ member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF4)
| spl17_250 ),
inference(avatar_component_clause,[],[f5350]) ).
fof(f5353,plain,
( spl17_249
| ~ spl17_250
| ~ spl17_47
| ~ spl17_248 ),
inference(avatar_split_clause,[],[f5303,f5292,f528,f5350,f5346]) ).
fof(f5354,plain,
( ~ member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF5)
| ~ spl17_27
| spl17_250 ),
inference(resolution,[],[f5352,f404]) ).
fof(f5360,definition,
( spl17_251
<=> member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF5) ),
introduced(definition,[new_symbols(definition,[spl17_251])],[avatar_definition]) ).
fof(f5361,plain,
( member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF5)
| ~ spl17_251 ),
inference(avatar_component_clause,[],[f5360]) ).
fof(f5362,plain,
( ~ member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF5)
| spl17_251 ),
inference(avatar_component_clause,[],[f5360]) ).
fof(f5363,plain,
( ~ spl17_251
| ~ spl17_27
| spl17_250 ),
inference(avatar_split_clause,[],[f5354,f5350,f403,f5360]) ).
fof(f5364,plain,
( null_class = intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))
| spl17_251 ),
inference(resolution,[],[f5362,f771]) ).
fof(f5371,definition,
( spl17_252
<=> member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),y) ),
introduced(definition,[new_symbols(definition,[spl17_252])],[avatar_definition]) ).
fof(f5372,plain,
( ~ member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),y)
| spl17_252 ),
inference(avatar_component_clause,[],[f5371]) ).
fof(f5375,definition,
( spl17_253
<=> member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF11) ),
introduced(definition,[new_symbols(definition,[spl17_253])],[avatar_definition]) ).
fof(f5376,plain,
( member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF11)
| ~ spl17_253 ),
inference(avatar_component_clause,[],[f5375]) ).
fof(f5381,definition,
( spl17_254
<=> member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),x) ),
introduced(definition,[new_symbols(definition,[spl17_254])],[avatar_definition]) ).
fof(f5382,plain,
( ~ member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),x)
| spl17_254 ),
inference(avatar_component_clause,[],[f5381]) ).
fof(f5383,plain,
( member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),x)
| ~ spl17_254 ),
inference(avatar_component_clause,[],[f5381]) ).
fof(f5385,definition,
( spl17_255
<=> member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF7) ),
introduced(definition,[new_symbols(definition,[spl17_255])],[avatar_definition]) ).
fof(f5386,plain,
( member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF7)
| ~ spl17_255 ),
inference(avatar_component_clause,[],[f5385]) ).
fof(f5391,definition,
( spl17_256
<=> member(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),universal_class) ),
introduced(definition,[new_symbols(definition,[spl17_256])],[avatar_definition]) ).
fof(f5397,definition,
( spl17_257
<=> member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF12) ),
introduced(definition,[new_symbols(definition,[spl17_257])],[avatar_definition]) ).
fof(f5398,plain,
( member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF12)
| ~ spl17_257 ),
inference(avatar_component_clause,[],[f5397]) ).
fof(f5399,plain,
( ~ member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF12)
| spl17_257 ),
inference(avatar_component_clause,[],[f5397]) ).
fof(f5403,definition,
( spl17_258
<=> ! [X0,X1] :
( ~ member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),cross_product(X0,X1))
| member(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),X0) ) ),
introduced(definition,[new_symbols(definition,[spl17_258])],[avatar_definition]) ).
fof(f5404,plain,
( ! [X0,X1] :
( ~ member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),cross_product(X0,X1))
| member(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),X0) )
| ~ spl17_258 ),
inference(avatar_component_clause,[],[f5403]) ).
fof(f5405,plain,
( spl17_258
| ~ spl17_248 ),
inference(avatar_split_clause,[],[f5298,f5292,f5403]) ).
fof(f5408,plain,
( ~ spl17_256
| ~ spl17_252
| spl17_253
| ~ spl17_70
| ~ spl17_248 ),
inference(avatar_split_clause,[],[f5311,f5292,f703,f5375,f5371,f5391]) ).
fof(f5410,plain,
( ~ spl17_256
| ~ spl17_254
| spl17_255
| ~ spl17_66
| ~ spl17_248 ),
inference(avatar_split_clause,[],[f5309,f5292,f672,f5385,f5381,f5391]) ).
fof(f5413,definition,
( spl17_259
<=> null_class = intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)) ),
introduced(definition,[new_symbols(definition,[spl17_259])],[avatar_definition]) ).
fof(f5414,plain,
( null_class != intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))
| spl17_259 ),
inference(avatar_component_clause,[],[f5413]) ).
fof(f5415,plain,
( null_class = intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))
| ~ spl17_259 ),
inference(avatar_component_clause,[],[f5413]) ).
fof(f5416,plain,
( spl17_259
| spl17_251 ),
inference(avatar_split_clause,[],[f5364,f5360,f5413]) ).
fof(f5421,plain,
( null_class != null_class
| ~ member(not_subclass_element(sF6,sF16),domain_of(sF5))
| ~ spl17_259 ),
inference(superposition,[],[f143,f5415]) ).
fof(f5438,plain,
( ~ member(not_subclass_element(sF6,sF16),domain_of(sF5))
| ~ spl17_259 ),
inference(trivial_inequality_removal,[],[f5421]) ).
fof(f5440,plain,
( ~ member(not_subclass_element(sF6,sF16),sF6)
| ~ spl17_17
| ~ spl17_259 ),
inference(forward_demodulation,[],[f5438,f320]) ).
fof(f5442,definition,
( spl17_260
<=> member(not_subclass_element(sF6,sF16),sF6) ),
introduced(definition,[new_symbols(definition,[spl17_260])],[avatar_definition]) ).
fof(f5444,plain,
( ~ member(not_subclass_element(sF6,sF16),sF6)
| spl17_260 ),
inference(avatar_component_clause,[],[f5442]) ).
fof(f5445,plain,
( ~ spl17_260
| ~ spl17_17
| ~ spl17_259 ),
inference(avatar_split_clause,[],[f5440,f5413,f318,f5442]) ).
fof(f5447,plain,
( subclass(sF6,sF16)
| spl17_260 ),
inference(resolution,[],[f5444,f2]) ).
fof(f5451,plain,
( $false
| spl17_234
| spl17_260 ),
inference(forward_subsumption_resolution,[],[f5447,f5089]) ).
fof(f5452,plain,
( spl17_234
| spl17_260 ),
inference(avatar_contradiction_clause,[],[f5451]) ).
fof(f5453,plain,
( member(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),universal_class)
| ~ spl17_67
| ~ spl17_248
| ~ spl17_250 ),
inference(forward_subsumption_resolution,[],[f5310,f5351]) ).
fof(f5476,plain,
( member(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)))
| null_class = intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))
| ~ spl17_258 ),
inference(resolution,[],[f5404,f770]) ).
fof(f5485,plain,
( member(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)))
| ~ spl17_258
| spl17_259 ),
inference(forward_subsumption_resolution,[],[f5476,f5414]) ).
fof(f5487,plain,
( ~ member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF11)
| ~ member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),element_relation)
| ~ spl17_34
| spl17_257 ),
inference(resolution,[],[f5399,f444]) ).
fof(f5502,plain,
( ~ member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),sF2)
| ~ spl17_44
| ~ spl17_249 ),
inference(resolution,[],[f5348,f510]) ).
fof(f5506,plain,
( spl17_256
| ~ spl17_67
| ~ spl17_248
| ~ spl17_250 ),
inference(avatar_split_clause,[],[f5453,f5350,f5292,f682,f5391]) ).
fof(f5508,definition,
( spl17_262
<=> member(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16))) ),
introduced(definition,[new_symbols(definition,[spl17_262])],[avatar_definition]) ).
fof(f5510,plain,
( member(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)))
| ~ spl17_262 ),
inference(avatar_component_clause,[],[f5508]) ).
fof(f5511,plain,
( spl17_262
| ~ spl17_258
| spl17_259 ),
inference(avatar_split_clause,[],[f5485,f5413,f5403,f5508]) ).
fof(f5533,definition,
( spl17_264
<=> ! [X0,X1] :
( ~ member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),cross_product(X0,X1))
| member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),X1) ) ),
introduced(definition,[new_symbols(definition,[spl17_264])],[avatar_definition]) ).
fof(f5534,plain,
( ! [X0,X1] :
( ~ member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),cross_product(X0,X1))
| member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),X1) )
| ~ spl17_264 ),
inference(avatar_component_clause,[],[f5533]) ).
fof(f5535,plain,
( spl17_264
| ~ spl17_248 ),
inference(avatar_split_clause,[],[f5299,f5292,f5533]) ).
fof(f5536,plain,
( member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),universal_class)
| null_class = intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))
| ~ spl17_264 ),
inference(resolution,[],[f5534,f770]) ).
fof(f5545,plain,
( member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),universal_class)
| spl17_259
| ~ spl17_264 ),
inference(forward_subsumption_resolution,[],[f5536,f5414]) ).
fof(f5564,definition,
( spl17_266
<=> member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),sF2) ),
introduced(definition,[new_symbols(definition,[spl17_266])],[avatar_definition]) ).
fof(f5566,plain,
( ~ member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),sF2)
| spl17_266 ),
inference(avatar_component_clause,[],[f5564]) ).
fof(f5567,plain,
( ~ spl17_266
| ~ spl17_44
| ~ spl17_249 ),
inference(avatar_split_clause,[],[f5502,f5346,f509,f5564]) ).
fof(f5568,plain,
( ~ member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),sF1)
| ~ member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),sF0)
| ~ spl17_11
| spl17_266 ),
inference(resolution,[],[f5566,f290]) ).
fof(f5574,definition,
( spl17_267
<=> member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),sF0) ),
introduced(definition,[new_symbols(definition,[spl17_267])],[avatar_definition]) ).
fof(f5576,plain,
( ~ member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),sF0)
| spl17_267 ),
inference(avatar_component_clause,[],[f5574]) ).
fof(f5578,definition,
( spl17_268
<=> member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),sF1) ),
introduced(definition,[new_symbols(definition,[spl17_268])],[avatar_definition]) ).
fof(f5580,plain,
( ~ member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),sF1)
| spl17_268 ),
inference(avatar_component_clause,[],[f5578]) ).
fof(f5581,plain,
( ~ spl17_267
| ~ spl17_268
| ~ spl17_11
| spl17_266 ),
inference(avatar_split_clause,[],[f5568,f5564,f289,f5578,f5574]) ).
fof(f5582,plain,
( $false
| ~ spl17_22
| ~ spl17_249
| spl17_254
| spl17_267 ),
inference(unit_resulting_resolution,[],[f360,f5348,f5382,f5576]) ).
fof(f5588,plain,
( ~ spl17_22
| ~ spl17_249
| spl17_254
| spl17_267 ),
inference(avatar_contradiction_clause,[],[f5582]) ).
fof(f5596,plain,
( ! [X0] :
( ~ member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),X0)
| member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),y) )
| ~ spl17_24
| spl17_268 ),
inference(resolution,[],[f5580,f368]) ).
fof(f5602,plain,
( ! [X0] : ~ member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),X0)
| ~ spl17_24
| spl17_252
| spl17_268 ),
inference(forward_subsumption_resolution,[],[f5596,f5372]) ).
fof(f5604,definition,
( spl17_269
<=> ! [X0] : ~ member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),X0) ),
introduced(definition,[new_symbols(definition,[spl17_269])],[avatar_definition]) ).
fof(f5605,plain,
( ! [X0] : ~ member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),X0)
| ~ spl17_269 ),
inference(avatar_component_clause,[],[f5604]) ).
fof(f5606,plain,
( spl17_269
| ~ spl17_24
| spl17_252
| spl17_268 ),
inference(avatar_split_clause,[],[f5602,f5578,f5371,f367,f5604]) ).
fof(f5628,plain,
( $false
| ~ spl17_19
| ~ spl17_249
| ~ spl17_269 ),
inference(unit_resulting_resolution,[],[f347,f5348,f5605,f5605]) ).
fof(f5691,plain,
( ~ spl17_19
| ~ spl17_249
| ~ spl17_269 ),
inference(avatar_contradiction_clause,[],[f5628]) ).
fof(f5695,plain,
( null_class = intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))
| ~ member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),element_relation)
| ~ spl17_240
| ~ spl17_255 ),
inference(resolution,[],[f5386,f5173]) ).
fof(f5701,definition,
( spl17_270
<=> member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),element_relation) ),
introduced(definition,[new_symbols(definition,[spl17_270])],[avatar_definition]) ).
fof(f5702,plain,
( member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),element_relation)
| ~ spl17_270 ),
inference(avatar_component_clause,[],[f5701]) ).
fof(f5703,plain,
( ~ member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),element_relation)
| spl17_270 ),
inference(avatar_component_clause,[],[f5701]) ).
fof(f5712,plain,
( ~ member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF5)
| ~ spl17_38
| spl17_270 ),
inference(resolution,[],[f5703,f468]) ).
fof(f5718,plain,
( $false
| ~ spl17_38
| ~ spl17_251
| spl17_270 ),
inference(forward_subsumption_resolution,[],[f5712,f5361]) ).
fof(f5719,plain,
( ~ spl17_38
| ~ spl17_251
| spl17_270 ),
inference(avatar_contradiction_clause,[],[f5718]) ).
fof(f5725,plain,
( ~ member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),element_relation)
| ~ spl17_240
| ~ spl17_255
| spl17_259 ),
inference(forward_subsumption_resolution,[],[f5695,f5414]) ).
fof(f5726,plain,
( $false
| ~ spl17_240
| ~ spl17_255
| spl17_259
| ~ spl17_270 ),
inference(forward_subsumption_resolution,[],[f5725,f5702]) ).
fof(f5727,plain,
( ~ spl17_240
| ~ spl17_255
| spl17_259
| ~ spl17_270 ),
inference(avatar_contradiction_clause,[],[f5726]) ).
fof(f5728,plain,
( ~ member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),element_relation)
| ~ spl17_34
| ~ spl17_253
| spl17_257 ),
inference(forward_subsumption_resolution,[],[f5487,f5376]) ).
fof(f5729,plain,
( $false
| ~ spl17_34
| ~ spl17_253
| spl17_257
| ~ spl17_270 ),
inference(forward_subsumption_resolution,[],[f5728,f5702]) ).
fof(f5730,plain,
( ~ spl17_34
| ~ spl17_253
| spl17_257
| ~ spl17_270 ),
inference(avatar_contradiction_clause,[],[f5729]) ).
fof(f5779,definition,
( spl17_271
<=> ! [X0,X1] :
( ~ member(X0,unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)))
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
| ~ member(X1,x)
| ~ member(X0,universal_class) ) ),
introduced(definition,[new_symbols(definition,[spl17_271])],[avatar_definition]) ).
fof(f5780,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)))
| ~ member(X1,x)
| ~ member(X0,universal_class) )
| ~ spl17_271 ),
inference(avatar_component_clause,[],[f5779]) ).
fof(f5781,plain,
( spl17_271
| ~ spl17_66
| ~ spl17_238 ),
inference(avatar_split_clause,[],[f5151,f5148,f672,f5779]) ).
fof(f5785,plain,
( ! [X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)))
| ~ member(X0,x)
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF5) )
| ~ spl17_38
| ~ spl17_271 ),
inference(resolution,[],[f5780,f468]) ).
fof(f5790,plain,
( ! [X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)))
| ~ member(X0,x)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF5) )
| ~ spl17_38
| ~ spl17_89
| ~ spl17_271 ),
inference(forward_subsumption_resolution,[],[f5785,f1075]) ).
fof(f5885,definition,
( spl17_277
<=> ! [X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)))
| ~ member(X0,x)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF5) ) ),
introduced(definition,[new_symbols(definition,[spl17_277])],[avatar_definition]) ).
fof(f5886,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF5)
| ~ member(X1,unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)))
| ~ member(X0,x)
| ~ member(X0,universal_class) )
| ~ spl17_277 ),
inference(avatar_component_clause,[],[f5885]) ).
fof(f5887,plain,
( spl17_277
| ~ spl17_38
| ~ spl17_89
| ~ spl17_271 ),
inference(avatar_split_clause,[],[f5790,f5779,f1074,f467,f5885]) ).
fof(f5891,plain,
( ~ member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF5)
| ~ member(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)))
| ~ member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),x)
| ~ member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),universal_class)
| ~ spl17_248
| ~ spl17_277 ),
inference(superposition,[],[f5886,f5294]) ).
fof(f5908,plain,
( ! [X0] :
( ~ member(not_subclass_element(sF6,sF16),X0)
| null_class = intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)) )
| ~ spl17_76
| spl17_234 ),
inference(resolution,[],[f765,f5089]) ).
fof(f5913,definition,
( spl17_279
<=> null_class = intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)) ),
introduced(definition,[new_symbols(definition,[spl17_279])],[avatar_definition]) ).
fof(f5915,plain,
( null_class = intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))
| ~ spl17_279 ),
inference(avatar_component_clause,[],[f5913]) ).
fof(f5916,plain,
( spl17_279
| spl17_233
| ~ spl17_76
| spl17_234 ),
inference(avatar_split_clause,[],[f5908,f5088,f764,f5047,f5913]) ).
fof(f5921,plain,
( ! [X0] :
( member(X0,null_class)
| ~ member(X0,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))
| ~ member(X0,sF12) )
| ~ spl17_279 ),
inference(superposition,[],[f23,f5915]) ).
fof(f5936,plain,
( ! [X0] :
( ~ member(X0,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))
| ~ member(X0,sF12) )
| ~ spl17_167
| ~ spl17_279 ),
inference(forward_subsumption_resolution,[],[f5921,f3519]) ).
fof(f6113,definition,
( spl17_285
<=> ! [X0] :
( ~ member(X0,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))
| ~ member(X0,sF12) ) ),
introduced(definition,[new_symbols(definition,[spl17_285])],[avatar_definition]) ).
fof(f6114,plain,
( ! [X0] :
( ~ member(X0,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))
| ~ member(X0,sF12) )
| ~ spl17_285 ),
inference(avatar_component_clause,[],[f6113]) ).
fof(f6115,plain,
( spl17_285
| ~ spl17_167
| ~ spl17_279 ),
inference(avatar_split_clause,[],[f5936,f5913,f2535,f6113]) ).
fof(f6118,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF12)
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16))) )
| ~ spl17_285 ),
inference(resolution,[],[f6114,f138]) ).
fof(f6128,definition,
( spl17_286
<=> ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF12)
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16))) ) ),
introduced(definition,[new_symbols(definition,[spl17_286])],[avatar_definition]) ).
fof(f6129,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF12)
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16))) )
| ~ spl17_286 ),
inference(avatar_component_clause,[],[f6128]) ).
fof(f6130,plain,
( spl17_286
| ~ spl17_285 ),
inference(avatar_split_clause,[],[f6118,f6113,f6128]) ).
fof(f6134,plain,
( ~ member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF12)
| ~ member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),universal_class)
| ~ member(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)))
| ~ spl17_248
| ~ spl17_286 ),
inference(superposition,[],[f6129,f5294]) ).
fof(f6135,plain,
( ~ member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),universal_class)
| ~ member(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)))
| ~ spl17_248
| ~ spl17_257
| ~ spl17_286 ),
inference(forward_subsumption_resolution,[],[f6134,f5398]) ).
fof(f6137,plain,
( ~ member(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)))
| ~ spl17_248
| ~ spl17_257
| spl17_259
| ~ spl17_264
| ~ spl17_286 ),
inference(forward_subsumption_resolution,[],[f6135,f5545]) ).
fof(f6139,plain,
( $false
| ~ spl17_248
| ~ spl17_257
| spl17_259
| ~ spl17_262
| ~ spl17_264
| ~ spl17_286 ),
inference(forward_subsumption_resolution,[],[f6137,f5510]) ).
fof(f6140,plain,
( ~ spl17_248
| ~ spl17_257
| spl17_259
| ~ spl17_262
| ~ spl17_264
| ~ spl17_286 ),
inference(avatar_contradiction_clause,[],[f6139]) ).
fof(f6338,plain,
( subclass(sF16,sF6)
| ~ spl17_230 ),
inference(resolution,[],[f5037,f2]) ).
fof(f6373,plain,
( $false
| spl17_43
| ~ spl17_230
| ~ spl17_234 ),
inference(forward_subsumption_resolution,[],[f6338,f5094]) ).
fof(f6374,plain,
( spl17_43
| ~ spl17_230
| ~ spl17_234 ),
inference(avatar_contradiction_clause,[],[f6373]) ).
fof(f6455,plain,
( null_class != null_class
| regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))))),unordered_pair(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),unordered_pair(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))))))
| spl17_232 ),
inference(superposition,[],[f5044,f839]) ).
fof(f6456,plain,
( regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))))),unordered_pair(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),unordered_pair(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))))))
| spl17_232 ),
inference(trivial_inequality_removal,[],[f6455]) ).
fof(f6469,definition,
( spl17_288
<=> subclass(sF16,sF6) ),
introduced(definition,[new_symbols(definition,[spl17_288])],[avatar_definition]) ).
fof(f6471,plain,
( ~ subclass(sF16,sF6)
| spl17_288 ),
inference(avatar_component_clause,[],[f6469]) ).
fof(f6472,plain,
( ~ spl17_288
| spl17_43
| ~ spl17_234 ),
inference(avatar_split_clause,[],[f5094,f5088,f504,f6469]) ).
fof(f6549,plain,
( ! [X0] :
( member(X0,null_class)
| ~ member(X0,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))
| ~ member(X0,sF5) )
| ~ spl17_231 ),
inference(superposition,[],[f23,f5041]) ).
fof(f6564,plain,
( ! [X0] :
( ~ member(X0,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))
| ~ member(X0,sF5) )
| ~ spl17_167
| ~ spl17_231 ),
inference(forward_subsumption_resolution,[],[f6549,f3519]) ).
fof(f6567,definition,
( spl17_290
<=> regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))))),unordered_pair(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),unordered_pair(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))))))) ),
introduced(definition,[new_symbols(definition,[spl17_290])],[avatar_definition]) ).
fof(f6569,plain,
( regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))))),unordered_pair(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),unordered_pair(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))))))
| ~ spl17_290 ),
inference(avatar_component_clause,[],[f6567]) ).
fof(f6570,plain,
( spl17_290
| spl17_232 ),
inference(avatar_split_clause,[],[f6456,f5043,f6567]) ).
fof(f7959,definition,
( spl17_295
<=> ! [X0] :
( ~ member(X0,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))
| ~ member(X0,sF5) ) ),
introduced(definition,[new_symbols(definition,[spl17_295])],[avatar_definition]) ).
fof(f7960,plain,
( ! [X0] :
( ~ member(X0,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))
| ~ member(X0,sF5) )
| ~ spl17_295 ),
inference(avatar_component_clause,[],[f7959]) ).
fof(f7961,plain,
( spl17_295
| ~ spl17_167
| ~ spl17_231 ),
inference(avatar_split_clause,[],[f6564,f5039,f2535,f7959]) ).
fof(f8020,plain,
( ~ member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF5)
| ~ member(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)))
| ~ member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),universal_class)
| ~ spl17_248
| ~ spl17_254
| ~ spl17_277 ),
inference(forward_subsumption_resolution,[],[f5891,f5383]) ).
fof(f8044,plain,
( ~ member(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)))
| ~ member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),universal_class)
| ~ spl17_248
| ~ spl17_251
| ~ spl17_254
| ~ spl17_277 ),
inference(forward_subsumption_resolution,[],[f8020,f5361]) ).
fof(f8052,plain,
( ~ member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),universal_class)
| ~ spl17_248
| ~ spl17_251
| ~ spl17_254
| ~ spl17_258
| spl17_259
| ~ spl17_277 ),
inference(forward_subsumption_resolution,[],[f8044,f5485]) ).
fof(f8057,plain,
( $false
| ~ spl17_248
| ~ spl17_251
| ~ spl17_254
| ~ spl17_258
| spl17_259
| ~ spl17_264
| ~ spl17_277 ),
inference(forward_subsumption_resolution,[],[f8052,f5545]) ).
fof(f8058,plain,
( ~ spl17_248
| ~ spl17_251
| ~ spl17_254
| ~ spl17_258
| spl17_259
| ~ spl17_264
| ~ spl17_277 ),
inference(avatar_contradiction_clause,[],[f8057]) ).
fof(f8172,plain,
( ! [X0,X1] :
( ~ member(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),cross_product(X0,X1))
| member(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),X0) )
| ~ spl17_290 ),
inference(superposition,[],[f136,f6569]) ).
fof(f8194,plain,
( ~ member(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF8)
| member(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))))
| ~ spl17_92
| ~ spl17_290 ),
inference(superposition,[],[f1309,f6569]) ).
fof(f8250,definition,
( spl17_303
<=> ! [X0,X1] :
( ~ member(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),cross_product(X0,X1))
| member(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),X0) ) ),
introduced(definition,[new_symbols(definition,[spl17_303])],[avatar_definition]) ).
fof(f8251,plain,
( ! [X0,X1] :
( ~ member(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),cross_product(X0,X1))
| member(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),X0) )
| ~ spl17_303 ),
inference(avatar_component_clause,[],[f8250]) ).
fof(f8252,plain,
( spl17_303
| ~ spl17_290 ),
inference(avatar_split_clause,[],[f8172,f6567,f8250]) ).
fof(f8253,plain,
( member(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)))
| null_class = intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))
| ~ spl17_303 ),
inference(resolution,[],[f8251,f770]) ).
fof(f8261,plain,
( member(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)))
| spl17_232
| ~ spl17_303 ),
inference(forward_subsumption_resolution,[],[f8253,f5044]) ).
fof(f8263,definition,
( spl17_304
<=> member(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16))) ),
introduced(definition,[new_symbols(definition,[spl17_304])],[avatar_definition]) ).
fof(f8265,plain,
( member(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)))
| ~ spl17_304 ),
inference(avatar_component_clause,[],[f8263]) ).
fof(f8266,plain,
( spl17_304
| spl17_232
| ~ spl17_303 ),
inference(avatar_split_clause,[],[f8261,f8250,f5043,f8263]) ).
fof(f8267,plain,
( not_subclass_element(sF6,sF16) = first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))))
| not_subclass_element(sF6,sF16) = first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))))
| ~ spl17_304 ),
inference(resolution,[],[f8265,f8]) ).
fof(f8270,plain,
( not_subclass_element(sF6,sF16) = first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))))
| ~ spl17_304 ),
inference(duplicate_literal_removal,[],[f8267]) ).
fof(f8272,definition,
( spl17_305
<=> not_subclass_element(sF6,sF16) = first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))) ),
introduced(definition,[new_symbols(definition,[spl17_305])],[avatar_definition]) ).
fof(f8274,plain,
( not_subclass_element(sF6,sF16) = first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))))
| ~ spl17_305 ),
inference(avatar_component_clause,[],[f8272]) ).
fof(f8275,plain,
( spl17_305
| ~ spl17_304 ),
inference(avatar_split_clause,[],[f8270,f8263,f8272]) ).
fof(f8749,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF5)
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6))) )
| ~ spl17_295 ),
inference(resolution,[],[f7960,f138]) ).
fof(f8759,definition,
( spl17_314
<=> ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF5)
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6))) ) ),
introduced(definition,[new_symbols(definition,[spl17_314])],[avatar_definition]) ).
fof(f8760,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF5)
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6))) )
| ~ spl17_314 ),
inference(avatar_component_clause,[],[f8759]) ).
fof(f8761,plain,
( spl17_314
| ~ spl17_295 ),
inference(avatar_split_clause,[],[f8749,f7959,f8759]) ).
fof(f9345,plain,
( ! [X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)))
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF4)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),element_relation) )
| ~ spl17_28
| ~ spl17_314 ),
inference(resolution,[],[f8760,f408]) ).
fof(f9501,definition,
( spl17_319
<=> member(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))))) ),
introduced(definition,[new_symbols(definition,[spl17_319])],[avatar_definition]) ).
fof(f9503,plain,
( member(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))),second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))))
| ~ spl17_319 ),
inference(avatar_component_clause,[],[f9501]) ).
fof(f9505,definition,
( spl17_320
<=> member(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF8) ),
introduced(definition,[new_symbols(definition,[spl17_320])],[avatar_definition]) ).
fof(f9507,plain,
( ~ member(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))),sF8)
| spl17_320 ),
inference(avatar_component_clause,[],[f9505]) ).
fof(f9508,plain,
( spl17_319
| ~ spl17_320
| ~ spl17_92
| ~ spl17_290 ),
inference(avatar_split_clause,[],[f8194,f6567,f1308,f9505,f9501]) ).
fof(f9710,definition,
( spl17_327
<=> ! [X0,X1] :
( ~ member(not_subclass_element(sF16,X0),X1)
| member(not_subclass_element(sF16,X0),sF9)
| subclass(sF16,X0)
| ~ subclass(X1,sF14) ) ),
introduced(definition,[new_symbols(definition,[spl17_327])],[avatar_definition]) ).
fof(f9711,plain,
( ! [X0,X1] :
( member(not_subclass_element(sF16,X0),sF9)
| ~ member(not_subclass_element(sF16,X0),X1)
| subclass(sF16,X0)
| ~ subclass(X1,sF14) )
| ~ spl17_327 ),
inference(avatar_component_clause,[],[f9710]) ).
fof(f9712,plain,
( spl17_327
| ~ spl17_20
| ~ spl17_168 ),
inference(avatar_split_clause,[],[f4868,f2539,f350,f9710]) ).
fof(f19728,plain,
( null_class = intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class))
| spl17_320 ),
inference(resolution,[],[f9507,f771]) ).
fof(f19734,plain,
( $false
| spl17_232
| spl17_320 ),
inference(forward_subsumption_resolution,[],[f19728,f5044]) ).
fof(f19735,plain,
( spl17_232
| spl17_320 ),
inference(avatar_contradiction_clause,[],[f19734]) ).
fof(f19738,plain,
( ! [X0] : ~ member(not_subclass_element(sF6,sF16),X0)
| ~ spl17_75
| spl17_232
| spl17_234 ),
inference(forward_subsumption_resolution,[],[f5288,f5044]) ).
fof(f19749,plain,
( member(not_subclass_element(sF6,sF16),second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF6,sF16),not_subclass_element(sF6,sF16)),universal_class)))))
| ~ spl17_305
| ~ spl17_319 ),
inference(forward_demodulation,[],[f9503,f8274]) ).
fof(f19770,plain,
( $false
| ~ spl17_75
| spl17_232
| spl17_234
| ~ spl17_305
| ~ spl17_319 ),
inference(forward_subsumption_resolution,[],[f19749,f19738]) ).
fof(f19771,plain,
( ~ spl17_75
| spl17_232
| spl17_234
| ~ spl17_305
| ~ spl17_319 ),
inference(avatar_contradiction_clause,[],[f19770]) ).
fof(f19961,definition,
( spl17_623
<=> ! [X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)))
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF4)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),element_relation) ) ),
introduced(definition,[new_symbols(definition,[spl17_623])],[avatar_definition]) ).
fof(f19962,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF4)
| ~ member(X1,unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)))
| ~ member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),element_relation) )
| ~ spl17_623 ),
inference(avatar_component_clause,[],[f19961]) ).
fof(f19963,plain,
( spl17_623
| ~ spl17_28
| ~ spl17_314 ),
inference(avatar_split_clause,[],[f9345,f8759,f407,f19961]) ).
fof(f19964,plain,
( ! [X0,X1] :
( ~ member(X0,unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)))
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
| ~ member(X1,sF3)
| ~ member(X0,universal_class) )
| ~ spl17_63
| ~ spl17_623 ),
inference(resolution,[],[f19962,f655]) ).
fof(f20230,definition,
( spl17_630
<=> ! [X0,X1] :
( ~ member(X0,unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)))
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
| ~ member(X1,sF3)
| ~ member(X0,universal_class) ) ),
introduced(definition,[new_symbols(definition,[spl17_630])],[avatar_definition]) ).
fof(f20231,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)))
| ~ member(X1,sF3)
| ~ member(X0,universal_class) )
| ~ spl17_630 ),
inference(avatar_component_clause,[],[f20230]) ).
fof(f20232,plain,
( spl17_630
| ~ spl17_63
| ~ spl17_623 ),
inference(avatar_split_clause,[],[f19964,f19961,f654,f20230]) ).
fof(f20234,plain,
( ! [X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)))
| ~ member(X0,sF3)
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF12) )
| ~ spl17_39
| ~ spl17_630 ),
inference(resolution,[],[f20231,f472]) ).
fof(f20235,plain,
( ! [X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)))
| ~ member(X0,sF3)
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF8) )
| ~ spl17_40
| ~ spl17_630 ),
inference(resolution,[],[f20231,f476]) ).
fof(f20243,plain,
( ! [X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)))
| ~ member(X0,sF3)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF8) )
| ~ spl17_40
| ~ spl17_88
| ~ spl17_630 ),
inference(forward_subsumption_resolution,[],[f20235,f1021]) ).
fof(f20244,plain,
( ! [X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)))
| ~ member(X0,sF3)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF12) )
| ~ spl17_39
| ~ spl17_87
| ~ spl17_630 ),
inference(forward_subsumption_resolution,[],[f20234,f1015]) ).
fof(f20392,definition,
( spl17_634
<=> ! [X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)))
| ~ member(X0,sF3)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF12) ) ),
introduced(definition,[new_symbols(definition,[spl17_634])],[avatar_definition]) ).
fof(f20393,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF12)
| ~ member(X1,unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)))
| ~ member(X0,sF3)
| ~ member(X0,universal_class) )
| ~ spl17_634 ),
inference(avatar_component_clause,[],[f20392]) ).
fof(f20394,plain,
( spl17_634
| ~ spl17_39
| ~ spl17_87
| ~ spl17_630 ),
inference(avatar_split_clause,[],[f20244,f20230,f1014,f471,f20392]) ).
fof(f20418,definition,
( spl17_636
<=> ! [X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)))
| ~ member(X0,sF3)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF8) ) ),
introduced(definition,[new_symbols(definition,[spl17_636])],[avatar_definition]) ).
fof(f20419,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF8)
| ~ member(X1,unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)))
| ~ member(X0,sF3)
| ~ member(X0,universal_class) )
| ~ spl17_636 ),
inference(avatar_component_clause,[],[f20418]) ).
fof(f20420,plain,
( spl17_636
| ~ spl17_40
| ~ spl17_88
| ~ spl17_630 ),
inference(avatar_split_clause,[],[f20243,f20230,f1020,f475,f20418]) ).
fof(f22289,definition,
( spl17_719
<=> member(not_subclass_element(sF16,sF6),sF9) ),
introduced(definition,[new_symbols(definition,[spl17_719])],[avatar_definition]) ).
fof(f22290,plain,
( ~ member(not_subclass_element(sF16,sF6),sF9)
| spl17_719 ),
inference(avatar_component_clause,[],[f22289]) ).
fof(f22291,plain,
( member(not_subclass_element(sF16,sF6),sF9)
| ~ spl17_719 ),
inference(avatar_component_clause,[],[f22289]) ).
fof(f22297,definition,
( spl17_721
<=> member(not_subclass_element(sF16,sF6),sF13) ),
introduced(definition,[new_symbols(definition,[spl17_721])],[avatar_definition]) ).
fof(f22299,plain,
( member(not_subclass_element(sF16,sF6),sF13)
| ~ spl17_721 ),
inference(avatar_component_clause,[],[f22297]) ).
fof(f22384,definition,
( spl17_729
<=> null_class = intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)) ),
introduced(definition,[new_symbols(definition,[spl17_729])],[avatar_definition]) ).
fof(f22385,plain,
( null_class != intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))
| spl17_729 ),
inference(avatar_component_clause,[],[f22384]) ).
fof(f22386,plain,
( null_class = intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))
| ~ spl17_729 ),
inference(avatar_component_clause,[],[f22384]) ).
fof(f22392,definition,
( spl17_731
<=> null_class = intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)) ),
introduced(definition,[new_symbols(definition,[spl17_731])],[avatar_definition]) ).
fof(f22393,plain,
( null_class != intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))
| spl17_731 ),
inference(avatar_component_clause,[],[f22392]) ).
fof(f22394,plain,
( null_class = intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))
| ~ spl17_731 ),
inference(avatar_component_clause,[],[f22392]) ).
fof(f23218,plain,
( ! [X0] :
( ~ member(not_subclass_element(sF16,sF6),X0)
| subclass(sF16,sF6)
| ~ subclass(X0,sF14) )
| ~ spl17_327
| spl17_719 ),
inference(resolution,[],[f22290,f9711]) ).
fof(f23221,plain,
( ! [X0] :
( ~ member(not_subclass_element(sF16,sF6),X0)
| ~ subclass(X0,sF14) )
| spl17_288
| ~ spl17_327
| spl17_719 ),
inference(forward_subsumption_resolution,[],[f23218,f6471]) ).
fof(f23552,definition,
( spl17_790
<=> ! [X0] :
( ~ member(not_subclass_element(sF16,sF6),X0)
| ~ subclass(X0,sF14) ) ),
introduced(definition,[new_symbols(definition,[spl17_790])],[avatar_definition]) ).
fof(f23553,plain,
( ! [X0] :
( ~ member(not_subclass_element(sF16,sF6),X0)
| ~ subclass(X0,sF14) )
| ~ spl17_790 ),
inference(avatar_component_clause,[],[f23552]) ).
fof(f23554,plain,
( spl17_790
| spl17_288
| ~ spl17_327
| spl17_719 ),
inference(avatar_split_clause,[],[f23221,f22289,f9710,f6469,f23552]) ).
fof(f23598,plain,
( ! [X0] :
( ~ subclass(sF14,sF14)
| ~ member(not_subclass_element(sF16,sF6),X0)
| member(not_subclass_element(sF16,sF6),sF13) )
| ~ spl17_21
| ~ spl17_790 ),
inference(resolution,[],[f23553,f355]) ).
fof(f23603,plain,
( ! [X0] :
( ~ member(not_subclass_element(sF16,sF6),X0)
| member(not_subclass_element(sF16,sF6),sF13) )
| ~ spl17_21
| ~ spl17_790 ),
inference(forward_subsumption_resolution,[],[f23598,f187]) ).
fof(f23609,plain,
( spl17_721
| spl17_230
| ~ spl17_21
| ~ spl17_790 ),
inference(avatar_split_clause,[],[f23603,f23552,f354,f5036,f22297]) ).
fof(f23619,plain,
( regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),first(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))))),unordered_pair(first(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),unordered_pair(second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))))))
| ~ spl17_80
| ~ spl17_721 ),
inference(resolution,[],[f22299,f902]) ).
fof(f23643,definition,
( spl17_793
<=> regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),first(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))))),unordered_pair(first(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),unordered_pair(second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))))))) ),
introduced(definition,[new_symbols(definition,[spl17_793])],[avatar_definition]) ).
fof(f23645,plain,
( regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),first(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))))),unordered_pair(first(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),unordered_pair(second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))))))
| ~ spl17_793 ),
inference(avatar_component_clause,[],[f23643]) ).
fof(f23646,plain,
( spl17_793
| ~ spl17_80
| ~ spl17_721 ),
inference(avatar_split_clause,[],[f23619,f22297,f901,f23643]) ).
fof(f23649,plain,
( ! [X0,X1] :
( ~ member(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))),cross_product(X0,X1))
| member(first(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),X0) )
| ~ spl17_793 ),
inference(superposition,[],[f136,f23645]) ).
fof(f23650,plain,
( ! [X0,X1] :
( ~ member(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))),cross_product(X0,X1))
| member(second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),X1) )
| ~ spl17_793 ),
inference(superposition,[],[f137,f23645]) ).
fof(f23656,plain,
( ~ member(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))),sF11)
| member(second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),y)
| ~ spl17_53
| ~ spl17_793 ),
inference(superposition,[],[f582,f23645]) ).
fof(f23721,definition,
( spl17_796
<=> member(second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),sF3) ),
introduced(definition,[new_symbols(definition,[spl17_796])],[avatar_definition]) ).
fof(f23722,plain,
( ~ member(second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),sF3)
| spl17_796 ),
inference(avatar_component_clause,[],[f23721]) ).
fof(f23723,plain,
( member(second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),sF3)
| ~ spl17_796 ),
inference(avatar_component_clause,[],[f23721]) ).
fof(f23743,definition,
( spl17_799
<=> member(second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),y) ),
introduced(definition,[new_symbols(definition,[spl17_799])],[avatar_definition]) ).
fof(f23745,plain,
( member(second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),y)
| ~ spl17_799 ),
inference(avatar_component_clause,[],[f23743]) ).
fof(f23747,definition,
( spl17_800
<=> member(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))),sF11) ),
introduced(definition,[new_symbols(definition,[spl17_800])],[avatar_definition]) ).
fof(f23749,plain,
( ~ member(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))),sF11)
| spl17_800 ),
inference(avatar_component_clause,[],[f23747]) ).
fof(f23750,plain,
( spl17_799
| ~ spl17_800
| ~ spl17_53
| ~ spl17_793 ),
inference(avatar_split_clause,[],[f23656,f23643,f581,f23747,f23743]) ).
fof(f23751,plain,
( ~ member(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))),sF12)
| ~ spl17_33
| spl17_800 ),
inference(resolution,[],[f23749,f440]) ).
fof(f23756,definition,
( spl17_801
<=> member(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))),sF12) ),
introduced(definition,[new_symbols(definition,[spl17_801])],[avatar_definition]) ).
fof(f23757,plain,
( member(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))),sF12)
| ~ spl17_801 ),
inference(avatar_component_clause,[],[f23756]) ).
fof(f23758,plain,
( ~ member(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))),sF12)
| spl17_801 ),
inference(avatar_component_clause,[],[f23756]) ).
fof(f23759,plain,
( ~ spl17_801
| ~ spl17_33
| spl17_800 ),
inference(avatar_split_clause,[],[f23751,f23747,f439,f23756]) ).
fof(f23760,plain,
( null_class = intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))
| spl17_801 ),
inference(resolution,[],[f23758,f771]) ).
fof(f23853,plain,
( regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))))),unordered_pair(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),unordered_pair(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))))))
| ~ spl17_81
| ~ spl17_719 ),
inference(resolution,[],[f22291,f913]) ).
fof(f24123,plain,
( spl17_731
| spl17_801 ),
inference(avatar_split_clause,[],[f23760,f23756,f22392]) ).
fof(f24126,plain,
( null_class != null_class
| ~ member(not_subclass_element(sF16,sF6),domain_of(sF12))
| ~ spl17_731 ),
inference(superposition,[],[f143,f22394]) ).
fof(f24144,plain,
( ~ member(not_subclass_element(sF16,sF6),domain_of(sF12))
| ~ spl17_731 ),
inference(trivial_inequality_removal,[],[f24126]) ).
fof(f24333,plain,
( ! [X0] :
( ~ member(second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),X0)
| member(second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),sF2) )
| ~ spl17_23
| spl17_796 ),
inference(resolution,[],[f23722,f364]) ).
fof(f24406,definition,
( spl17_807
<=> regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))))),unordered_pair(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),unordered_pair(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))))))) ),
introduced(definition,[new_symbols(definition,[spl17_807])],[avatar_definition]) ).
fof(f24408,plain,
( regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))))),unordered_pair(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),unordered_pair(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))))))
| ~ spl17_807 ),
inference(avatar_component_clause,[],[f24406]) ).
fof(f24409,plain,
( spl17_807
| ~ spl17_81
| ~ spl17_719 ),
inference(avatar_split_clause,[],[f23853,f22289,f912,f24406]) ).
fof(f24412,plain,
( ! [X0,X1] :
( ~ member(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))),cross_product(X0,X1))
| member(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),X0) )
| ~ spl17_807 ),
inference(superposition,[],[f136,f24408]) ).
fof(f24413,plain,
( ! [X0,X1] :
( ~ member(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))),cross_product(X0,X1))
| member(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),X1) )
| ~ spl17_807 ),
inference(superposition,[],[f137,f24408]) ).
fof(f24418,plain,
( ~ member(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))),sF7)
| member(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),x)
| ~ spl17_49
| ~ spl17_807 ),
inference(superposition,[],[f554,f24408]) ).
fof(f24443,plain,
( ~ member(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))),sF8)
| ~ member(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)))
| ~ member(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),sF3)
| ~ member(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),universal_class)
| ~ spl17_636
| ~ spl17_807 ),
inference(superposition,[],[f20419,f24408]) ).
fof(f24476,definition,
( spl17_809
<=> member(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),sF3) ),
introduced(definition,[new_symbols(definition,[spl17_809])],[avatar_definition]) ).
fof(f24477,plain,
( ~ member(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),sF3)
| spl17_809 ),
inference(avatar_component_clause,[],[f24476]) ).
fof(f24478,plain,
( member(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),sF3)
| ~ spl17_809 ),
inference(avatar_component_clause,[],[f24476]) ).
fof(f24520,definition,
( spl17_815
<=> member(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),x) ),
introduced(definition,[new_symbols(definition,[spl17_815])],[avatar_definition]) ).
fof(f24522,plain,
( member(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),x)
| ~ spl17_815 ),
inference(avatar_component_clause,[],[f24520]) ).
fof(f24524,definition,
( spl17_816
<=> member(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))),sF7) ),
introduced(definition,[new_symbols(definition,[spl17_816])],[avatar_definition]) ).
fof(f24526,plain,
( ~ member(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))),sF7)
| spl17_816 ),
inference(avatar_component_clause,[],[f24524]) ).
fof(f24527,plain,
( spl17_815
| ~ spl17_816
| ~ spl17_49
| ~ spl17_807 ),
inference(avatar_split_clause,[],[f24418,f24406,f553,f24524,f24520]) ).
fof(f24528,plain,
( ~ member(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))),sF8)
| ~ spl17_30
| spl17_816 ),
inference(resolution,[],[f24526,f422]) ).
fof(f24533,definition,
( spl17_817
<=> member(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))),sF8) ),
introduced(definition,[new_symbols(definition,[spl17_817])],[avatar_definition]) ).
fof(f24534,plain,
( member(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))),sF8)
| ~ spl17_817 ),
inference(avatar_component_clause,[],[f24533]) ).
fof(f24535,plain,
( ~ member(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))),sF8)
| spl17_817 ),
inference(avatar_component_clause,[],[f24533]) ).
fof(f24536,plain,
( ~ spl17_817
| ~ spl17_30
| spl17_816 ),
inference(avatar_split_clause,[],[f24528,f24524,f421,f24533]) ).
fof(f24537,plain,
( null_class = intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))
| spl17_817 ),
inference(resolution,[],[f24535,f771]) ).
fof(f24542,plain,
( $false
| spl17_729
| spl17_817 ),
inference(forward_subsumption_resolution,[],[f24537,f22385]) ).
fof(f24543,plain,
( spl17_729
| spl17_817 ),
inference(avatar_contradiction_clause,[],[f24542]) ).
fof(f24556,definition,
( spl17_818
<=> ! [X0,X1] :
( ~ member(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))),cross_product(X0,X1))
| member(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),X0) ) ),
introduced(definition,[new_symbols(definition,[spl17_818])],[avatar_definition]) ).
fof(f24557,plain,
( ! [X0,X1] :
( ~ member(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))),cross_product(X0,X1))
| member(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),X0) )
| ~ spl17_818 ),
inference(avatar_component_clause,[],[f24556]) ).
fof(f24558,plain,
( spl17_818
| ~ spl17_807 ),
inference(avatar_split_clause,[],[f24412,f24406,f24556]) ).
fof(f24559,plain,
( member(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)))
| null_class = intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))
| ~ spl17_818 ),
inference(resolution,[],[f24557,f770]) ).
fof(f24567,plain,
( member(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)))
| spl17_729
| ~ spl17_818 ),
inference(forward_subsumption_resolution,[],[f24559,f22385]) ).
fof(f24569,definition,
( spl17_819
<=> member(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6))) ),
introduced(definition,[new_symbols(definition,[spl17_819])],[avatar_definition]) ).
fof(f24571,plain,
( member(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)))
| ~ spl17_819 ),
inference(avatar_component_clause,[],[f24569]) ).
fof(f24572,plain,
( spl17_819
| spl17_729
| ~ spl17_818 ),
inference(avatar_split_clause,[],[f24567,f24556,f22384,f24569]) ).
fof(f24592,plain,
( ! [X0] :
( ~ member(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),X0)
| member(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),sF2) )
| ~ spl17_23
| spl17_809 ),
inference(resolution,[],[f24477,f364]) ).
fof(f24597,definition,
( spl17_821
<=> ! [X0,X1] :
( ~ member(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))),cross_product(X0,X1))
| member(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),X1) ) ),
introduced(definition,[new_symbols(definition,[spl17_821])],[avatar_definition]) ).
fof(f24598,plain,
( ! [X0,X1] :
( ~ member(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))),cross_product(X0,X1))
| member(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),X1) )
| ~ spl17_821 ),
inference(avatar_component_clause,[],[f24597]) ).
fof(f24599,plain,
( spl17_821
| ~ spl17_807 ),
inference(avatar_split_clause,[],[f24413,f24406,f24597]) ).
fof(f24600,plain,
( member(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),universal_class)
| null_class = intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))
| ~ spl17_821 ),
inference(resolution,[],[f24598,f770]) ).
fof(f24608,plain,
( member(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),universal_class)
| spl17_729
| ~ spl17_821 ),
inference(forward_subsumption_resolution,[],[f24600,f22385]) ).
fof(f25918,definition,
( spl17_874
<=> member(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),sF2) ),
introduced(definition,[new_symbols(definition,[spl17_874])],[avatar_definition]) ).
fof(f25920,plain,
( member(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),sF2)
| ~ spl17_874 ),
inference(avatar_component_clause,[],[f25918]) ).
fof(f25922,definition,
( spl17_875
<=> ! [X0] : ~ member(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),X0) ),
introduced(definition,[new_symbols(definition,[spl17_875])],[avatar_definition]) ).
fof(f25923,plain,
( ! [X0] : ~ member(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),X0)
| ~ spl17_875 ),
inference(avatar_component_clause,[],[f25922]) ).
fof(f25924,plain,
( spl17_874
| spl17_875
| ~ spl17_23
| spl17_809 ),
inference(avatar_split_clause,[],[f24592,f24476,f363,f25922,f25918]) ).
fof(f25943,plain,
( $false
| ~ spl17_19
| ~ spl17_815
| ~ spl17_875 ),
inference(unit_resulting_resolution,[],[f347,f24522,f25923,f25923]) ).
fof(f26005,plain,
( ~ spl17_19
| ~ spl17_815
| ~ spl17_875 ),
inference(avatar_contradiction_clause,[],[f25943]) ).
fof(f26008,plain,
( ~ member(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),x)
| ~ spl17_68
| ~ spl17_874 ),
inference(resolution,[],[f25920,f690]) ).
fof(f26012,plain,
( $false
| ~ spl17_68
| ~ spl17_815
| ~ spl17_874 ),
inference(forward_subsumption_resolution,[],[f26008,f24522]) ).
fof(f26013,plain,
( ~ spl17_68
| ~ spl17_815
| ~ spl17_874 ),
inference(avatar_contradiction_clause,[],[f26012]) ).
fof(f26016,plain,
( ~ member(first(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)))
| ~ member(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),sF3)
| ~ member(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),universal_class)
| ~ spl17_636
| ~ spl17_807
| ~ spl17_817 ),
inference(forward_subsumption_resolution,[],[f24443,f24534]) ).
fof(f26018,plain,
( ~ member(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),sF3)
| ~ member(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),universal_class)
| ~ spl17_636
| ~ spl17_807
| ~ spl17_817
| ~ spl17_819 ),
inference(forward_subsumption_resolution,[],[f26016,f24571]) ).
fof(f26019,plain,
( ~ member(second(regular(intersection(sF8,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),universal_class)
| ~ spl17_636
| ~ spl17_807
| ~ spl17_809
| ~ spl17_817
| ~ spl17_819 ),
inference(forward_subsumption_resolution,[],[f26018,f24478]) ).
fof(f26020,plain,
( $false
| ~ spl17_636
| spl17_729
| ~ spl17_807
| ~ spl17_809
| ~ spl17_817
| ~ spl17_819
| ~ spl17_821 ),
inference(forward_subsumption_resolution,[],[f26019,f24608]) ).
fof(f26021,plain,
( ~ spl17_636
| spl17_729
| ~ spl17_807
| ~ spl17_809
| ~ spl17_817
| ~ spl17_819
| ~ spl17_821 ),
inference(avatar_contradiction_clause,[],[f26020]) ).
fof(f26194,plain,
( null_class != null_class
| ~ member(not_subclass_element(sF16,sF6),domain_of(sF8))
| ~ spl17_729 ),
inference(superposition,[],[f143,f22386]) ).
fof(f26212,plain,
( ~ member(not_subclass_element(sF16,sF6),domain_of(sF8))
| ~ spl17_729 ),
inference(trivial_inequality_removal,[],[f26194]) ).
fof(f26213,plain,
( ~ member(not_subclass_element(sF16,sF6),sF9)
| ~ spl17_13
| ~ spl17_729 ),
inference(forward_demodulation,[],[f26212,f299]) ).
fof(f26355,definition,
( spl17_876
<=> ! [X0,X1] :
( ~ member(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))),cross_product(X0,X1))
| member(first(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),X0) ) ),
introduced(definition,[new_symbols(definition,[spl17_876])],[avatar_definition]) ).
fof(f26356,plain,
( ! [X0,X1] :
( ~ member(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))),cross_product(X0,X1))
| member(first(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),X0) )
| ~ spl17_876 ),
inference(avatar_component_clause,[],[f26355]) ).
fof(f26357,plain,
( spl17_876
| ~ spl17_793 ),
inference(avatar_split_clause,[],[f23649,f23643,f26355]) ).
fof(f26358,plain,
( member(first(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)))
| null_class = intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))
| ~ spl17_876 ),
inference(resolution,[],[f26356,f770]) ).
fof(f26366,plain,
( member(first(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)))
| spl17_731
| ~ spl17_876 ),
inference(forward_subsumption_resolution,[],[f26358,f22393]) ).
fof(f26368,definition,
( spl17_877
<=> member(first(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6))) ),
introduced(definition,[new_symbols(definition,[spl17_877])],[avatar_definition]) ).
fof(f26370,plain,
( member(first(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)))
| ~ spl17_877 ),
inference(avatar_component_clause,[],[f26368]) ).
fof(f26371,plain,
( spl17_877
| spl17_731
| ~ spl17_876 ),
inference(avatar_split_clause,[],[f26366,f26355,f22392,f26368]) ).
fof(f26534,plain,
( ~ member(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))),sF12)
| ~ member(first(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)))
| ~ member(second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),sF3)
| ~ member(second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),universal_class)
| ~ spl17_634
| ~ spl17_793 ),
inference(superposition,[],[f20393,f23645]) ).
fof(f26588,definition,
( spl17_879
<=> ! [X0,X1] :
( ~ member(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))),cross_product(X0,X1))
| member(second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),X1) ) ),
introduced(definition,[new_symbols(definition,[spl17_879])],[avatar_definition]) ).
fof(f26589,plain,
( ! [X0,X1] :
( ~ member(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))),cross_product(X0,X1))
| member(second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),X1) )
| ~ spl17_879 ),
inference(avatar_component_clause,[],[f26588]) ).
fof(f26590,plain,
( spl17_879
| ~ spl17_793 ),
inference(avatar_split_clause,[],[f23650,f23643,f26588]) ).
fof(f26591,plain,
( member(second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),universal_class)
| null_class = intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class))
| ~ spl17_879 ),
inference(resolution,[],[f26589,f770]) ).
fof(f26599,plain,
( member(second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),universal_class)
| spl17_731
| ~ spl17_879 ),
inference(forward_subsumption_resolution,[],[f26591,f22393]) ).
fof(f27021,definition,
( spl17_886
<=> member(second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),sF2) ),
introduced(definition,[new_symbols(definition,[spl17_886])],[avatar_definition]) ).
fof(f27023,plain,
( member(second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),sF2)
| ~ spl17_886 ),
inference(avatar_component_clause,[],[f27021]) ).
fof(f27025,definition,
( spl17_887
<=> ! [X0] : ~ member(second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),X0) ),
introduced(definition,[new_symbols(definition,[spl17_887])],[avatar_definition]) ).
fof(f27026,plain,
( ! [X0] : ~ member(second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),X0)
| ~ spl17_887 ),
inference(avatar_component_clause,[],[f27025]) ).
fof(f27027,plain,
( spl17_886
| spl17_887
| ~ spl17_23
| spl17_796 ),
inference(avatar_split_clause,[],[f24333,f23721,f363,f27025,f27021]) ).
fof(f27046,plain,
( $false
| ~ spl17_19
| ~ spl17_799
| ~ spl17_887 ),
inference(unit_resulting_resolution,[],[f347,f23745,f27026,f27026]) ).
fof(f27108,plain,
( ~ spl17_19
| ~ spl17_799
| ~ spl17_887 ),
inference(avatar_contradiction_clause,[],[f27046]) ).
fof(f27112,plain,
( ~ member(second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),y)
| ~ spl17_69
| ~ spl17_886 ),
inference(resolution,[],[f27023,f697]) ).
fof(f27117,plain,
( $false
| ~ spl17_69
| ~ spl17_799
| ~ spl17_886 ),
inference(forward_subsumption_resolution,[],[f27112,f23745]) ).
fof(f27118,plain,
( ~ spl17_69
| ~ spl17_799
| ~ spl17_886 ),
inference(avatar_contradiction_clause,[],[f27117]) ).
fof(f27125,plain,
( ~ member(first(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)))
| ~ member(second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),sF3)
| ~ member(second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),universal_class)
| ~ spl17_634
| ~ spl17_793
| ~ spl17_801 ),
inference(forward_subsumption_resolution,[],[f26534,f23757]) ).
fof(f27128,plain,
( ~ member(second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),sF3)
| ~ member(second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),universal_class)
| ~ spl17_634
| ~ spl17_793
| ~ spl17_801
| ~ spl17_877 ),
inference(forward_subsumption_resolution,[],[f27125,f26370]) ).
fof(f27130,plain,
( ~ member(second(regular(intersection(sF12,cross_product(unordered_pair(not_subclass_element(sF16,sF6),not_subclass_element(sF16,sF6)),universal_class)))),universal_class)
| ~ spl17_634
| ~ spl17_793
| ~ spl17_796
| ~ spl17_801
| ~ spl17_877 ),
inference(forward_subsumption_resolution,[],[f27128,f23723]) ).
fof(f27133,plain,
( $false
| ~ spl17_634
| spl17_731
| ~ spl17_793
| ~ spl17_796
| ~ spl17_801
| ~ spl17_877
| ~ spl17_879 ),
inference(forward_subsumption_resolution,[],[f27130,f26599]) ).
fof(f27134,plain,
( ~ spl17_634
| spl17_731
| ~ spl17_793
| ~ spl17_796
| ~ spl17_801
| ~ spl17_877
| ~ spl17_879 ),
inference(avatar_contradiction_clause,[],[f27133]) ).
fof(f27230,plain,
( ~ member(not_subclass_element(sF16,sF6),sF13)
| ~ spl17_15
| ~ spl17_731 ),
inference(forward_demodulation,[],[f24144,f309]) ).
fof(f27484,plain,
( $false
| ~ spl17_15
| ~ spl17_721
| ~ spl17_731 ),
inference(forward_subsumption_resolution,[],[f27230,f22299]) ).
fof(f27485,plain,
( ~ spl17_15
| ~ spl17_721
| ~ spl17_731 ),
inference(avatar_contradiction_clause,[],[f27484]) ).
fof(f27785,plain,
( $false
| ~ spl17_13
| ~ spl17_719
| ~ spl17_729 ),
inference(forward_subsumption_resolution,[],[f26213,f22291]) ).
fof(f27786,plain,
( ~ spl17_13
| ~ spl17_719
| ~ spl17_729 ),
inference(avatar_contradiction_clause,[],[f27785]) ).
cnf(s111,plain,
spl17_1,
inference(sat_conversion,[],[f231]) ).
cnf(s116,plain,
spl17_2,
inference(sat_conversion,[],[f239]) ).
cnf(s121,plain,
spl17_3,
inference(sat_conversion,[],[f247]) ).
cnf(s129,plain,
spl17_4,
inference(sat_conversion,[],[f258]) ).
cnf(s132,plain,
( ~ spl17_2
| spl17_5 ),
inference(sat_conversion,[],[f263]) ).
cnf(s134,plain,
( ~ spl17_2
| spl17_6 ),
inference(sat_conversion,[],[f267]) ).
cnf(s136,plain,
( ~ spl17_2
| spl17_7 ),
inference(sat_conversion,[],[f271]) ).
cnf(s138,plain,
spl17_8,
inference(sat_conversion,[],[f276]) ).
cnf(s141,plain,
spl17_9,
inference(sat_conversion,[],[f282]) ).
cnf(s144,plain,
( ~ spl17_1
| spl17_10 ),
inference(sat_conversion,[],[f287]) ).
cnf(s146,plain,
( ~ spl17_1
| spl17_11 ),
inference(sat_conversion,[],[f291]) ).
cnf(s148,plain,
( ~ spl17_1
| spl17_12 ),
inference(sat_conversion,[],[f295]) ).
cnf(s150,plain,
spl17_13,
inference(sat_conversion,[],[f300]) ).
cnf(s152,plain,
spl17_14,
inference(sat_conversion,[],[f305]) ).
cnf(s154,plain,
spl17_15,
inference(sat_conversion,[],[f310]) ).
cnf(s156,plain,
spl17_16,
inference(sat_conversion,[],[f315]) ).
cnf(s159,plain,
spl17_17,
inference(sat_conversion,[],[f321]) ).
cnf(s162,plain,
( ~ spl17_14
| spl17_18 ),
inference(sat_conversion,[],[f327]) ).
cnf(s179,plain,
( ~ spl17_14
| spl17_19 ),
inference(sat_conversion,[],[f348]) ).
cnf(s181,plain,
( ~ spl17_9
| spl17_20 ),
inference(sat_conversion,[],[f352]) ).
cnf(s183,plain,
( ~ spl17_8
| spl17_21 ),
inference(sat_conversion,[],[f356]) ).
cnf(s185,plain,
( ~ spl17_3
| spl17_22 ),
inference(sat_conversion,[],[f361]) ).
cnf(s187,plain,
( ~ spl17_16
| spl17_23 ),
inference(sat_conversion,[],[f365]) ).
cnf(s189,plain,
( ~ spl17_4
| spl17_24 ),
inference(sat_conversion,[],[f369]) ).
cnf(s210,plain,
spl17_26,
inference(sat_conversion,[],[f398]) ).
cnf(s215,plain,
( ~ spl17_26
| spl17_27 ),
inference(sat_conversion,[],[f405]) ).
cnf(s217,plain,
( ~ spl17_26
| spl17_28 ),
inference(sat_conversion,[],[f409]) ).
cnf(s221,plain,
spl17_29,
inference(sat_conversion,[],[f416]) ).
cnf(s226,plain,
( ~ spl17_29
| spl17_30 ),
inference(sat_conversion,[],[f423]) ).
cnf(s228,plain,
( ~ spl17_29
| spl17_31 ),
inference(sat_conversion,[],[f427]) ).
cnf(s232,plain,
spl17_32,
inference(sat_conversion,[],[f434]) ).
cnf(s237,plain,
( ~ spl17_32
| spl17_33 ),
inference(sat_conversion,[],[f441]) ).
cnf(s239,plain,
( ~ spl17_32
| spl17_34 ),
inference(sat_conversion,[],[f445]) ).
cnf(s243,plain,
spl17_35,
inference(sat_conversion,[],[f452]) ).
cnf(s245,plain,
spl17_36,
inference(sat_conversion,[],[f457]) ).
cnf(s247,plain,
spl17_37,
inference(sat_conversion,[],[f462]) ).
cnf(s252,plain,
( ~ spl17_26
| spl17_38 ),
inference(sat_conversion,[],[f469]) ).
cnf(s254,plain,
( ~ spl17_32
| spl17_39 ),
inference(sat_conversion,[],[f473]) ).
cnf(s256,plain,
( ~ spl17_29
| spl17_40 ),
inference(sat_conversion,[],[f477]) ).
cnf(s264,plain,
( ~ spl17_9
| spl17_41 ),
inference(sat_conversion,[],[f487]) ).
cnf(s269,plain,
( ~ spl17_8
| spl17_42 ),
inference(sat_conversion,[],[f495]) ).
cnf(s277,plain,
~ spl17_43,
inference(sat_conversion,[],[f507]) ).
cnf(s279,plain,
( ~ spl17_16
| spl17_44 ),
inference(sat_conversion,[],[f511]) ).
cnf(s287,plain,
( ~ spl17_3
| spl17_45 ),
inference(sat_conversion,[],[f522]) ).
cnf(s289,plain,
( ~ spl17_4
| spl17_46 ),
inference(sat_conversion,[],[f526]) ).
cnf(s291,plain,
( ~ spl17_37
| spl17_47 ),
inference(sat_conversion,[],[f530]) ).
cnf(s302,plain,
( ~ spl17_17
| spl17_48 ),
inference(sat_conversion,[],[f545]) ).
cnf(s308,plain,
( ~ spl17_35
| spl17_49 ),
inference(sat_conversion,[],[f555]) ).
cnf(s312,plain,
( ~ spl17_18
| spl17_50 ),
inference(sat_conversion,[],[f561]) ).
cnf(s316,plain,
( ~ spl17_7
| ~ spl17_50
| spl17_51 ),
inference(sat_conversion,[],[f569]) ).
cnf(s323,plain,
( ~ spl17_36
| spl17_53 ),
inference(sat_conversion,[],[f583]) ).
cnf(s327,plain,
( ~ spl17_13
| spl17_54 ),
inference(sat_conversion,[],[f589]) ).
cnf(s329,plain,
( ~ spl17_15
| spl17_55 ),
inference(sat_conversion,[],[f593]) ).
cnf(s335,plain,
( ~ spl17_6
| ~ spl17_42
| spl17_56 ),
inference(sat_conversion,[],[f601]) ).
cnf(s340,plain,
( ~ spl17_25
| ~ spl17_56
| spl17_57 ),
inference(sat_conversion,[],[f610]) ).
cnf(s344,plain,
( ~ spl17_5
| ~ spl17_41
| spl17_58 ),
inference(sat_conversion,[],[f619]) ).
cnf(s349,plain,
( ~ spl17_25
| ~ spl17_58
| spl17_59 ),
inference(sat_conversion,[],[f628]) ).
cnf(s353,plain,
( ~ spl17_35
| spl17_60 ),
inference(sat_conversion,[],[f635]) ).
cnf(s368,plain,
( ~ spl17_37
| spl17_63 ),
inference(sat_conversion,[],[f656]) ).
cnf(s370,plain,
( ~ spl17_35
| spl17_64 ),
inference(sat_conversion,[],[f662]) ).
cnf(s374,plain,
( ~ spl17_36
| spl17_65 ),
inference(sat_conversion,[],[f668]) ).
cnf(s378,plain,
( ~ spl17_35
| spl17_66 ),
inference(sat_conversion,[],[f674]) ).
cnf(s382,plain,
( ~ spl17_37
| spl17_67 ),
inference(sat_conversion,[],[f684]) ).
cnf(s386,plain,
( ~ spl17_10
| ~ spl17_45
| spl17_68 ),
inference(sat_conversion,[],[f691]) ).
cnf(s390,plain,
( ~ spl17_12
| ~ spl17_46
| spl17_69 ),
inference(sat_conversion,[],[f698]) ).
cnf(s394,plain,
( ~ spl17_36
| spl17_70 ),
inference(sat_conversion,[],[f705]) ).
cnf(s396,plain,
( ~ spl17_48
| spl17_71 ),
inference(sat_conversion,[],[f712]) ).
cnf(s427,plain,
( ~ spl17_54
| ~ spl17_59
| spl17_75 ),
inference(sat_conversion,[],[f762]) ).
cnf(s429,plain,
( ~ spl17_55
| ~ spl17_57
| spl17_76 ),
inference(sat_conversion,[],[f766]) ).
cnf(s525,plain,
( ~ spl17_17
| spl17_79 ),
inference(sat_conversion,[],[f893]) ).
cnf(s532,plain,
( ~ spl17_15
| spl17_80 ),
inference(sat_conversion,[],[f903]) ).
cnf(s540,plain,
( ~ spl17_13
| spl17_81 ),
inference(sat_conversion,[],[f914]) ).
cnf(s547,plain,
( ~ spl17_79
| spl17_82 ),
inference(sat_conversion,[],[f924]) ).
cnf(s616,plain,
( ~ spl17_33
| ~ spl17_65
| spl17_87 ),
inference(sat_conversion,[],[f1016]) ).
cnf(s619,plain,
( ~ spl17_30
| ~ spl17_64
| spl17_88 ),
inference(sat_conversion,[],[f1022]) ).
cnf(s622,plain,
( ~ spl17_27
| ~ spl17_67
| spl17_89 ),
inference(sat_conversion,[],[f1076]) ).
cnf(s747,plain,
( ~ spl17_40
| spl17_92 ),
inference(sat_conversion,[],[f1310]) ).
cnf(s840,plain,
( ~ spl17_71
| spl17_116 ),
inference(sat_conversion,[],[f1588]) ).
cnf(s1225,plain,
( ~ spl17_60
| spl17_167 ),
inference(sat_conversion,[],[f2537]) ).
cnf(s1227,plain,
( ~ spl17_51
| spl17_168 ),
inference(sat_conversion,[],[f2541]) ).
cnf(s2451,plain,
( ~ spl17_14
| spl17_25 ),
inference(sat_conversion,[],[f4812]) ).
cnf(s2496,plain,
( spl17_43
| ~ spl17_75
| ~ spl17_116
| spl17_230
| spl17_231
| spl17_232
| spl17_233 ),
inference(sat_conversion,[],[f5049]) ).
cnf(s2502,plain,
( ~ spl17_233
| spl17_234 ),
inference(sat_conversion,[],[f5091]) ).
cnf(s2506,plain,
( spl17_43
| ~ spl17_116
| spl17_230
| spl17_231
| ~ spl17_234 ),
inference(sat_conversion,[],[f5096]) ).
cnf(s2518,plain,
( ~ spl17_167
| ~ spl17_232
| spl17_236 ),
inference(sat_conversion,[],[f5128]) ).
cnf(s2530,plain,
( ~ spl17_236
| spl17_237 ),
inference(sat_conversion,[],[f5143]) ).
cnf(s2534,plain,
( ~ spl17_31
| ~ spl17_237
| spl17_238 ),
inference(sat_conversion,[],[f5150]) ).
cnf(s2538,plain,
( ~ spl17_236
| spl17_239 ),
inference(sat_conversion,[],[f5158]) ).
cnf(s2545,plain,
( ~ spl17_31
| ~ spl17_239
| spl17_240 ),
inference(sat_conversion,[],[f5174]) ).
cnf(s2595,plain,
( ~ spl17_82
| spl17_234
| spl17_248 ),
inference(sat_conversion,[],[f5295]) ).
cnf(s2630,plain,
( ~ spl17_47
| ~ spl17_248
| spl17_249
| ~ spl17_250 ),
inference(sat_conversion,[],[f5353]) ).
cnf(s2635,plain,
( ~ spl17_27
| spl17_250
| ~ spl17_251 ),
inference(sat_conversion,[],[f5363]) ).
cnf(s2648,plain,
( ~ spl17_248
| spl17_258 ),
inference(sat_conversion,[],[f5405]) ).
cnf(s2650,plain,
( ~ spl17_70
| ~ spl17_248
| ~ spl17_252
| spl17_253
| ~ spl17_256 ),
inference(sat_conversion,[],[f5408]) ).
cnf(s2652,plain,
( ~ spl17_66
| ~ spl17_248
| ~ spl17_254
| spl17_255
| ~ spl17_256 ),
inference(sat_conversion,[],[f5410]) ).
cnf(s2654,plain,
( spl17_251
| spl17_259 ),
inference(sat_conversion,[],[f5416]) ).
cnf(s2662,plain,
( ~ spl17_17
| ~ spl17_259
| ~ spl17_260 ),
inference(sat_conversion,[],[f5445]) ).
cnf(s2666,plain,
( spl17_234
| spl17_260 ),
inference(sat_conversion,[],[f5452]) ).
cnf(s2701,plain,
( ~ spl17_67
| ~ spl17_248
| ~ spl17_250
| spl17_256 ),
inference(sat_conversion,[],[f5506]) ).
cnf(s2703,plain,
( ~ spl17_258
| spl17_259
| spl17_262 ),
inference(sat_conversion,[],[f5511]) ).
cnf(s2713,plain,
( ~ spl17_248
| spl17_264 ),
inference(sat_conversion,[],[f5535]) ).
cnf(s2726,plain,
( ~ spl17_44
| ~ spl17_249
| ~ spl17_266 ),
inference(sat_conversion,[],[f5567]) ).
cnf(s2731,plain,
( ~ spl17_11
| spl17_266
| ~ spl17_267
| ~ spl17_268 ),
inference(sat_conversion,[],[f5581]) ).
cnf(s2733,plain,
( ~ spl17_22
| ~ spl17_249
| spl17_254
| spl17_267 ),
inference(sat_conversion,[],[f5588]) ).
cnf(s2750,plain,
( ~ spl17_24
| spl17_252
| spl17_268
| spl17_269 ),
inference(sat_conversion,[],[f5606]) ).
cnf(s2775,plain,
( ~ spl17_19
| ~ spl17_249
| ~ spl17_269 ),
inference(sat_conversion,[],[f5691]) ).
cnf(s2797,plain,
( ~ spl17_38
| ~ spl17_251
| spl17_270 ),
inference(sat_conversion,[],[f5719]) ).
cnf(s2805,plain,
( ~ spl17_240
| ~ spl17_255
| spl17_259
| ~ spl17_270 ),
inference(sat_conversion,[],[f5727]) ).
cnf(s2814,plain,
( ~ spl17_34
| ~ spl17_253
| spl17_257
| ~ spl17_270 ),
inference(sat_conversion,[],[f5730]) ).
cnf(s2834,plain,
( ~ spl17_66
| ~ spl17_238
| spl17_271 ),
inference(sat_conversion,[],[f5781]) ).
cnf(s2898,plain,
( ~ spl17_38
| ~ spl17_89
| ~ spl17_271
| spl17_277 ),
inference(sat_conversion,[],[f5887]) ).
cnf(s2910,plain,
( ~ spl17_76
| spl17_233
| spl17_234
| spl17_279 ),
inference(sat_conversion,[],[f5916]) ).
cnf(s3006,plain,
( ~ spl17_167
| ~ spl17_279
| spl17_285 ),
inference(sat_conversion,[],[f6115]) ).
cnf(s3018,plain,
( ~ spl17_285
| spl17_286 ),
inference(sat_conversion,[],[f6130]) ).
cnf(s3022,plain,
( ~ spl17_248
| ~ spl17_257
| spl17_259
| ~ spl17_262
| ~ spl17_264
| ~ spl17_286 ),
inference(sat_conversion,[],[f6140]) ).
cnf(s3194,plain,
( spl17_43
| ~ spl17_230
| ~ spl17_234 ),
inference(sat_conversion,[],[f6374]) ).
cnf(s3235,plain,
( spl17_43
| ~ spl17_234
| ~ spl17_288 ),
inference(sat_conversion,[],[f6472]) ).
cnf(s3340,plain,
( spl17_232
| spl17_290 ),
inference(sat_conversion,[],[f6570]) ).
cnf(s4158,plain,
( ~ spl17_167
| ~ spl17_231
| spl17_295 ),
inference(sat_conversion,[],[f7961]) ).
cnf(s4332,plain,
( ~ spl17_248
| ~ spl17_251
| ~ spl17_254
| ~ spl17_258
| spl17_259
| ~ spl17_264
| ~ spl17_277 ),
inference(sat_conversion,[],[f8058]) ).
cnf(s4404,plain,
( ~ spl17_290
| spl17_303 ),
inference(sat_conversion,[],[f8252]) ).
cnf(s4408,plain,
( spl17_232
| ~ spl17_303
| spl17_304 ),
inference(sat_conversion,[],[f8266]) ).
cnf(s4411,plain,
( ~ spl17_304
| spl17_305 ),
inference(sat_conversion,[],[f8275]) ).
cnf(s4713,plain,
( ~ spl17_295
| spl17_314 ),
inference(sat_conversion,[],[f8761]) ).
cnf(s5250,plain,
( ~ spl17_92
| ~ spl17_290
| spl17_319
| ~ spl17_320 ),
inference(sat_conversion,[],[f9508]) ).
cnf(s5275,plain,
( ~ spl17_20
| ~ spl17_168
| spl17_327 ),
inference(sat_conversion,[],[f9712]) ).
cnf(s8585,plain,
( spl17_232
| spl17_320 ),
inference(sat_conversion,[],[f19735]) ).
cnf(s8614,plain,
( ~ spl17_75
| spl17_232
| spl17_234
| ~ spl17_305
| ~ spl17_319 ),
inference(sat_conversion,[],[f19771]) ).
cnf(s8726,plain,
( ~ spl17_28
| ~ spl17_314
| spl17_623 ),
inference(sat_conversion,[],[f19963]) ).
cnf(s8792,plain,
( ~ spl17_63
| ~ spl17_623
| spl17_630 ),
inference(sat_conversion,[],[f20232]) ).
cnf(s8899,plain,
( ~ spl17_39
| ~ spl17_87
| ~ spl17_630
| spl17_634 ),
inference(sat_conversion,[],[f20394]) ).
cnf(s8906,plain,
( ~ spl17_40
| ~ spl17_88
| ~ spl17_630
| spl17_636 ),
inference(sat_conversion,[],[f20420]) ).
cnf(s10457,plain,
( spl17_288
| ~ spl17_327
| spl17_719
| spl17_790 ),
inference(sat_conversion,[],[f23554]) ).
cnf(s10498,plain,
( ~ spl17_21
| spl17_230
| spl17_721
| ~ spl17_790 ),
inference(sat_conversion,[],[f23609]) ).
cnf(s10514,plain,
( ~ spl17_80
| ~ spl17_721
| spl17_793 ),
inference(sat_conversion,[],[f23646]) ).
cnf(s10560,plain,
( ~ spl17_53
| ~ spl17_793
| spl17_799
| ~ spl17_800 ),
inference(sat_conversion,[],[f23750]) ).
cnf(s10564,plain,
( ~ spl17_33
| spl17_800
| ~ spl17_801 ),
inference(sat_conversion,[],[f23759]) ).
cnf(s11099,plain,
( spl17_731
| spl17_801 ),
inference(sat_conversion,[],[f24123]) ).
cnf(s11125,plain,
( ~ spl17_81
| ~ spl17_719
| spl17_807 ),
inference(sat_conversion,[],[f24409]) ).
cnf(s11172,plain,
( ~ spl17_49
| ~ spl17_807
| spl17_815
| ~ spl17_816 ),
inference(sat_conversion,[],[f24527]) ).
cnf(s11176,plain,
( ~ spl17_30
| spl17_816
| ~ spl17_817 ),
inference(sat_conversion,[],[f24536]) ).
cnf(s11179,plain,
( spl17_729
| spl17_817 ),
inference(sat_conversion,[],[f24543]) ).
cnf(s11189,plain,
( ~ spl17_807
| spl17_818 ),
inference(sat_conversion,[],[f24558]) ).
cnf(s11193,plain,
( spl17_729
| ~ spl17_818
| spl17_819 ),
inference(sat_conversion,[],[f24572]) ).
cnf(s11202,plain,
( ~ spl17_807
| spl17_821 ),
inference(sat_conversion,[],[f24599]) ).
cnf(s11581,plain,
( ~ spl17_23
| spl17_809
| spl17_874
| spl17_875 ),
inference(sat_conversion,[],[f25924]) ).
cnf(s11602,plain,
( ~ spl17_19
| ~ spl17_815
| ~ spl17_875 ),
inference(sat_conversion,[],[f26005]) ).
cnf(s11614,plain,
( ~ spl17_68
| ~ spl17_815
| ~ spl17_874 ),
inference(sat_conversion,[],[f26013]) ).
cnf(s11619,plain,
( ~ spl17_636
| spl17_729
| ~ spl17_807
| ~ spl17_809
| ~ spl17_817
| ~ spl17_819
| ~ spl17_821 ),
inference(sat_conversion,[],[f26021]) ).
cnf(s11826,plain,
( ~ spl17_793
| spl17_876 ),
inference(sat_conversion,[],[f26357]) ).
cnf(s11830,plain,
( spl17_731
| ~ spl17_876
| spl17_877 ),
inference(sat_conversion,[],[f26371]) ).
cnf(s11883,plain,
( ~ spl17_793
| spl17_879 ),
inference(sat_conversion,[],[f26590]) ).
cnf(s12016,plain,
( ~ spl17_23
| spl17_796
| spl17_886
| spl17_887 ),
inference(sat_conversion,[],[f27027]) ).
cnf(s12037,plain,
( ~ spl17_19
| ~ spl17_799
| ~ spl17_887 ),
inference(sat_conversion,[],[f27108]) ).
cnf(s12049,plain,
( ~ spl17_69
| ~ spl17_799
| ~ spl17_886 ),
inference(sat_conversion,[],[f27118]) ).
cnf(s12055,plain,
( ~ spl17_634
| spl17_731
| ~ spl17_793
| ~ spl17_796
| ~ spl17_801
| ~ spl17_877
| ~ spl17_879 ),
inference(sat_conversion,[],[f27134]) ).
cnf(s12186,plain,
( ~ spl17_15
| ~ spl17_721
| ~ spl17_731 ),
inference(sat_conversion,[],[f27485]) ).
cnf(s12300,plain,
( ~ spl17_13
| ~ spl17_719
| ~ spl17_729 ),
inference(sat_conversion,[],[f27786]) ).
cnf(s12325,plain,
spl17_67,
inference(rat,[],[s382,s247]) ).
cnf(s12326,plain,
spl17_63,
inference(rat,[],[s368,s247]) ).
cnf(s12328,plain,
spl17_47,
inference(rat,[],[s291,s247]) ).
cnf(s12333,plain,
spl17_70,
inference(rat,[],[s394,s245]) ).
cnf(s12334,plain,
spl17_65,
inference(rat,[],[s374,s245]) ).
cnf(s12336,plain,
spl17_53,
inference(rat,[],[s323,s245]) ).
cnf(s12341,plain,
spl17_66,
inference(rat,[],[s378,s243]) ).
cnf(s12342,plain,
spl17_64,
inference(rat,[],[s370,s243]) ).
cnf(s12343,plain,
spl17_60,
inference(rat,[],[s353,s243]) ).
cnf(s12344,plain,
spl17_49,
inference(rat,[],[s308,s243]) ).
cnf(s12346,plain,
spl17_167,
inference(rat,[],[s1225,s12343]) ).
cnf(s12351,plain,
spl17_39,
inference(rat,[],[s254,s232]) ).
cnf(s12352,plain,
spl17_34,
inference(rat,[],[s239,s232]) ).
cnf(s12353,plain,
spl17_33,
inference(rat,[],[s237,s232]) ).
cnf(s12356,plain,
spl17_87,
inference(rat,[],[s616,s12334,s12353]) ).
cnf(s12361,plain,
spl17_40,
inference(rat,[],[s256,s221]) ).
cnf(s12362,plain,
spl17_31,
inference(rat,[],[s228,s221]) ).
cnf(s12363,plain,
spl17_30,
inference(rat,[],[s226,s221]) ).
cnf(s12364,plain,
spl17_92,
inference(rat,[],[s747,s12361]) ).
cnf(s12366,plain,
spl17_88,
inference(rat,[],[s619,s12342,s12363]) ).
cnf(s12371,plain,
spl17_38,
inference(rat,[],[s252,s210]) ).
cnf(s12372,plain,
spl17_28,
inference(rat,[],[s217,s210]) ).
cnf(s12373,plain,
spl17_27,
inference(rat,[],[s215,s210]) ).
cnf(s12377,plain,
spl17_89,
inference(rat,[],[s622,s12325,s12373]) ).
cnf(s12379,plain,
spl17_79,
inference(rat,[],[s525,s159]) ).
cnf(s12380,plain,
spl17_48,
inference(rat,[],[s302,s159]) ).
cnf(s12381,plain,
spl17_82,
inference(rat,[],[s547,s12379]) ).
cnf(s12382,plain,
spl17_71,
inference(rat,[],[s396,s12380]) ).
cnf(s12383,plain,
spl17_116,
inference(rat,[],[s840,s12382]) ).
cnf(s12384,plain,
spl17_44,
inference(rat,[],[s279,s156]) ).
cnf(s12385,plain,
spl17_23,
inference(rat,[],[s187,s156]) ).
cnf(s12386,plain,
spl17_80,
inference(rat,[],[s532,s154]) ).
cnf(s12387,plain,
spl17_55,
inference(rat,[],[s329,s154]) ).
cnf(s12389,plain,
spl17_25,
inference(rat,[],[s2451,s152]) ).
cnf(s12390,plain,
spl17_19,
inference(rat,[],[s179,s152]) ).
cnf(s12391,plain,
spl17_18,
inference(rat,[],[s162,s152]) ).
cnf(s12393,plain,
spl17_50,
inference(rat,[],[s312,s12391]) ).
cnf(s12395,plain,
spl17_81,
inference(rat,[],[s540,s150]) ).
cnf(s12396,plain,
spl17_54,
inference(rat,[],[s327,s150]) ).
cnf(s12397,plain,
spl17_41,
inference(rat,[],[s264,s141]) ).
cnf(s12398,plain,
spl17_20,
inference(rat,[],[s181,s141]) ).
cnf(s12399,plain,
spl17_42,
inference(rat,[],[s269,s138]) ).
cnf(s12400,plain,
spl17_21,
inference(rat,[],[s183,s138]) ).
cnf(s12403,plain,
spl17_46,
inference(rat,[],[s289,s129]) ).
cnf(s12404,plain,
spl17_24,
inference(rat,[],[s189,s129]) ).
cnf(s12407,plain,
spl17_45,
inference(rat,[],[s287,s121]) ).
cnf(s12408,plain,
spl17_22,
inference(rat,[],[s185,s121]) ).
cnf(s12413,plain,
spl17_7,
inference(rat,[],[s136,s116]) ).
cnf(s12414,plain,
spl17_6,
inference(rat,[],[s134,s116]) ).
cnf(s12415,plain,
spl17_5,
inference(rat,[],[s132,s116]) ).
cnf(s12418,plain,
spl17_51,
inference(rat,[],[s316,s12393,s12413]) ).
cnf(s12419,plain,
spl17_56,
inference(rat,[],[s335,s12399,s12414]) ).
cnf(s12420,plain,
spl17_58,
inference(rat,[],[s344,s12397,s12415]) ).
cnf(s12424,plain,
spl17_168,
inference(rat,[],[s1227,s12418]) ).
cnf(s12426,plain,
spl17_57,
inference(rat,[],[s340,s12389,s12419]) ).
cnf(s12427,plain,
spl17_59,
inference(rat,[],[s349,s12389,s12420]) ).
cnf(s12429,plain,
spl17_327,
inference(rat,[],[s5275,s12398,s12424]) ).
cnf(s12434,plain,
spl17_76,
inference(rat,[],[s429,s12387,s12426]) ).
cnf(s12437,plain,
spl17_75,
inference(rat,[],[s427,s12396,s12427]) ).
cnf(s12442,plain,
spl17_12,
inference(rat,[],[s148,s111]) ).
cnf(s12443,plain,
spl17_11,
inference(rat,[],[s146,s111]) ).
cnf(s12444,plain,
spl17_10,
inference(rat,[],[s144,s111]) ).
cnf(s12446,plain,
spl17_69,
inference(rat,[],[s390,s12403,s12442]) ).
cnf(s12448,plain,
spl17_68,
inference(rat,[],[s386,s12407,s12444]) ).
cnf(s12451,plain,
( spl17_231
| spl17_230 ),
inference(rat,[],[s2731,s2733,s2750,s2652,s2650,s2805,s2814,s2726,s2775,s2545,s3022,s2630,s2701,s2538,s3018,s2635,s2797,s2518,s3006,s2703,s2654,s2496,s2910,s2648,s2713,s2662,s2502,s2595,s2666,s2506,s12381,s159,s12434,s12437,s12383,s277,s12346,s12371,s12373,s12325,s12328,s12362,s12390,s12384,s12352,s12333,s12341,s12404,s12408,s12443]) ).
cnf(s12452,plain,
( spl17_234
| spl17_233
| ~ spl17_277 ),
inference(rat,[],[s2750,s2650,s2731,s2726,s2775,s2814,s2733,s2630,s2701,s3022,s4332,s2635,s2797,s3018,s2703,s2654,s3006,s2648,s2713,s2662,s2910,s2595,s2666,s12404,s12333,s12443,s12384,s12390,s12352,s12408,s12328,s12325,s12373,s12371,s12346,s159,s12434,s12381]) ).
cnf(s12453,plain,
( ~ spl17_721
| ~ spl17_634 ),
inference(rat,[],[s12016,s12037,s12049,s12055,s10560,s11830,s10564,s11826,s11883,s11099,s10514,s12186,s12385,s12390,s12446,s12336,s12353,s12386,s154]) ).
cnf(s12454,plain,
( ~ spl17_719
| ~ spl17_636 ),
inference(rat,[],[s11581,s11602,s11614,s11619,s11172,s11193,s11176,s11189,s11202,s11179,s11125,s12300,s12385,s12390,s12448,s12344,s12363,s12395,s150]) ).
cnf(s12455,plain,
( spl17_233
| spl17_234 ),
inference(rat,[],[s4411,s4408,s8614,s4404,s5250,s3340,s8585,s2518,s2530,s2534,s2834,s2898,s12452,s12377,s12371,s12341,s12362,s12346,s12364,s12437]) ).
cnf(s12456,plain,
spl17_234,
inference(rat,[],[s12455,s2502]) ).
cnf(s12458,plain,
~ spl17_288,
inference(rat,[],[s3235,s277,s12456]) ).
cnf(s12459,plain,
~ spl17_230,
inference(rat,[],[s3194,s277,s12456]) ).
cnf(s12461,plain,
spl17_231,
inference(rat,[],[s12451,s12459]) ).
cnf(s12463,plain,
spl17_295,
inference(rat,[],[s4158,s12346,s12461]) ).
cnf(s12468,plain,
spl17_314,
inference(rat,[],[s4713,s12463]) ).
cnf(s12472,plain,
spl17_623,
inference(rat,[],[s8726,s12372,s12468]) ).
cnf(s12475,plain,
spl17_630,
inference(rat,[],[s8792,s12326,s12472]) ).
cnf(s12479,plain,
spl17_634,
inference(rat,[],[s8899,s12356,s12351,s12475]) ).
cnf(s12480,plain,
spl17_636,
inference(rat,[],[s8906,s12366,s12361,s12475]) ).
cnf(s12488,plain,
~ spl17_721,
inference(rat,[],[s12453,s12479]) ).
cnf(s12490,plain,
~ spl17_719,
inference(rat,[],[s12454,s12480]) ).
cnf(s12497,plain,
~ spl17_790,
inference(rat,[],[s10498,s12459,s12400,s12488]) ).
cnf(s12502,plain,
$false,
inference(rat,[],[s10457,s12458,s12429,s12497,s12490]) ).
fof(f27888,plain,
$false,
inference(avatar_sat_refutation,[],[s12502]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET358-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 % Computer : n002.cluster.edu
% 0.12/0.41 % Model : x86_64 x86_64
% 0.12/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41 % Memory : 8046.5625MB
% 0.12/0.41 % OS : Linux 6.8.0-71-generic
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Mon Sep 28 01:36:07 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.97/2.44 % (4074823)Input is clausal, will run a generic CNF schedule.
% 10.97/2.44 % (4074834)dis-21_1_sil=8000:lcm=predicate:random_seed=2353327163:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 10.97/2.44 % (4074834)Instruction limit reached!
% 10.97/2.44 % (4074834)------------------------------
% 10.97/2.44 % (4074834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.44 % (4074834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.44 % (4074834)CaDiCaL version: 2.1.3
% 10.97/2.44 % (4074834)Termination reason: Instruction limit
% 10.97/2.44 % (4074834)Termination phase: Saturation
% 10.97/2.44 % (4074834)Time elapsed: 0.035 s
% 10.97/2.44 % (4074834)Peak memory usage: 89 MB
% 10.97/2.44 % (4074834)Instructions burned: 119 (million)
% 10.97/2.44 % (4074833)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4251066858:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.97/2.44 % (4074830)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=541714747:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.97/2.44 % (4074828)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2897822898:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.97/2.44 % (4074831)lrs+10_1_sil=8000:sp=occurrence:random_seed=2869754652:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.97/2.44 % (4074829)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1514403474:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.97/2.44 % (4074832)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=71766304:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.97/2.44 % (4074832)Instruction limit reached!
% 10.97/2.44 % (4074832)------------------------------
% 10.97/2.44 % (4074832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.44 % (4074832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.44 % (4074832)CaDiCaL version: 2.1.3
% 10.97/2.44 % (4074832)Termination reason: Instruction limit
% 10.97/2.44 % (4074832)Termination phase: Saturation
% 10.97/2.44 % (4074832)Time elapsed: 0.071 s
% 10.97/2.44 % (4074832)Peak memory usage: 89 MB
% 10.97/2.44 % (4074832)Instructions burned: 116 (million)
% 10.97/2.44 % (4074831)Instruction limit reached!
% 10.97/2.44 % (4074831)------------------------------
% 10.97/2.44 % (4074831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.44 % (4074831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.44 % (4074831)CaDiCaL version: 2.1.3
% 10.97/2.44 % (4074831)Termination reason: Instruction limit
% 10.97/2.44 % (4074831)Termination phase: Saturation
% 10.97/2.44 % (4074831)Time elapsed: 0.075 s
% 10.97/2.44 % (4074831)Peak memory usage: 90 MB
% 10.97/2.44 % (4074831)Instructions burned: 107 (million)
% 10.97/2.44 % (4074836)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3037272557:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 10.97/2.44 % (4074836)Refutation not found, incomplete strategy
% 10.97/2.44 % (4074836)------------------------------
% 10.97/2.44 % (4074836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.44 % (4074836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.44 % (4074836)CaDiCaL version: 2.1.3
% 10.97/2.44 % (4074836)Termination reason: Refutation not found, incomplete strategy
% 10.97/2.44 % (4074836)Time elapsed: 0.001 s
% 10.97/2.44 % (4074836)Peak memory usage: 88 MB
% 10.97/2.44 % (4074836)Instructions burned: 2 (million)
% 10.97/2.44 % (4074833)Instruction limit reached!
% 10.97/2.44 % (4074833)------------------------------
% 10.97/2.44 % (4074833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.44 % (4074833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.44 % (4074833)CaDiCaL version: 2.1.3
% 10.97/2.44 % (4074833)Termination reason: Instruction limit
% 10.97/2.44 % (4074833)Termination phase: Saturation
% 10.97/2.44 % (4074833)Time elapsed: 0.134 s
% 10.97/2.44 % (4074833)Peak memory usage: 90 MB
% 10.97/2.44 % (4074833)Instructions burned: 181 (million)
% 10.97/2.44 % (4074843)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2573656171:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 19.45/3.69 % (4074844)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2899156495:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 19.45/3.69 % (4074836)------------------------------
% 19.45/3.69 % (4074836)------------------------------
% 19.45/3.69 % (4074846)lrs+10_64_to=lpo:sil=8000:random_seed=413844533:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 19.45/3.69 % (4074843)Instruction limit reached!
% 19.45/3.69 % (4074843)------------------------------
% 19.45/3.69 % (4074843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.45/3.69 % (4074843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.45/3.69 % (4074843)CaDiCaL version: 2.1.3
% 19.45/3.69 % (4074843)Termination reason: Instruction limit
% 19.45/3.69 % (4074843)Termination phase: Saturation
% 19.45/3.69 % (4074843)Time elapsed: 0.100 s
% 19.45/3.69 % (4074843)Peak memory usage: 90 MB
% 19.45/3.69 % (4074843)Instructions burned: 190 (million)
% 19.45/3.69 % (4074844)Instruction limit reached!
% 19.45/3.69 % (4074844)------------------------------
% 19.45/3.69 % (4074844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.45/3.69 % (4074844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.45/3.69 % (4074844)CaDiCaL version: 2.1.3
% 19.45/3.69 % (4074844)Termination reason: Instruction limit
% 19.45/3.69 % (4074844)Termination phase: Saturation
% 19.45/3.69 % (4074844)Time elapsed: 0.116 s
% 19.45/3.69 % (4074844)Peak memory usage: 88 MB
% 19.45/3.69 % (4074844)Instructions burned: 220 (million)
% 19.45/3.69 % (4074846)Instruction limit reached!
% 19.45/3.69 % (4074846)------------------------------
% 19.45/3.69 % (4074846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.45/3.69 % (4074846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.45/3.69 % (4074846)CaDiCaL version: 2.1.3
% 19.45/3.69 % (4074846)Termination reason: Instruction limit
% 19.45/3.69 % (4074846)Termination phase: Saturation
% 19.45/3.69 % (4074846)Time elapsed: 0.080 s
% 19.45/3.69 % (4074846)Peak memory usage: 89 MB
% 19.45/3.69 % (4074846)Instructions burned: 126 (million)
% 19.45/3.69 % (4074849)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=815944032:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 19.45/3.69 % (4074849)Instruction limit reached!
% 19.45/3.69 % (4074849)------------------------------
% 19.45/3.69 % (4074849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.45/3.69 % (4074849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.45/3.69 % (4074849)CaDiCaL version: 2.1.3
% 19.45/3.69 % (4074849)Termination reason: Instruction limit
% 19.45/3.69 % (4074849)Termination phase: Saturation
% 19.45/3.69 % (4074849)Time elapsed: 0.066 s
% 19.45/3.69 % (4074849)Peak memory usage: 89 MB
% 19.45/3.69 % (4074849)Instructions burned: 195 (million)
% 19.45/3.69 % (4074851)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1837423360:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 19.45/3.69 % (4074852)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2888411035:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 19.45/3.69 % (4074853)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1151687316:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 19.45/3.69 % (4074855)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=817007940:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 19.45/3.69 % (4074855)Refutation not found, incomplete strategy
% 19.45/3.69 % (4074855)------------------------------
% 19.45/3.69 % (4074855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.45/3.69 % (4074855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.45/3.69 % (4074855)CaDiCaL version: 2.1.3
% 19.45/3.69 % (4074855)Termination reason: Refutation not found, incomplete strategy
% 19.45/3.69 % (4074855)Time elapsed: 0.003 s
% 19.45/3.69 % (4074855)Peak memory usage: 88 MB
% 19.45/3.69 % (4074855)Instructions burned: 8 (million)
% 19.45/3.69 % (4074853)Instruction limit reached!
% 19.45/3.69 % (4074853)------------------------------
% 33.16/5.65 % (4074853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.16/5.65 % (4074853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.16/5.65 % (4074853)CaDiCaL version: 2.1.3
% 33.16/5.65 % (4074853)Termination reason: Instruction limit
% 33.16/5.65 % (4074853)Termination phase: Saturation
% 33.16/5.65 % (4074853)Time elapsed: 0.064 s
% 33.16/5.65 % (4074853)Peak memory usage: 90 MB
% 33.16/5.65 % (4074853)Instructions burned: 107 (million)
% 33.16/5.65 % (4074851)Instruction limit reached!
% 33.16/5.65 % (4074851)------------------------------
% 33.16/5.65 % (4074851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.16/5.65 % (4074851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.16/5.65 % (4074851)CaDiCaL version: 2.1.3
% 33.16/5.65 % (4074851)Termination reason: Instruction limit
% 33.16/5.65 % (4074851)Termination phase: Saturation
% 33.16/5.65 % (4074851)Time elapsed: 0.107 s
% 33.16/5.65 % (4074851)Peak memory usage: 91 MB
% 33.16/5.65 % (4074851)Instructions burned: 158 (million)
% 33.16/5.65 % (4074855)------------------------------
% 33.16/5.65 % (4074855)------------------------------
% 33.16/5.65 % (4074861)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=879401674:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 33.16/5.65 % (4074860)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=977247501:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 33.16/5.65 % (4074862)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1187096594:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 33.16/5.65 % (4074862)Refutation not found, incomplete strategy
% 33.16/5.65 % (4074862)------------------------------
% 33.16/5.65 % (4074862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.16/5.65 % (4074862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.16/5.65 % (4074862)CaDiCaL version: 2.1.3
% 33.16/5.65 % (4074862)Termination reason: Refutation not found, incomplete strategy
% 33.16/5.65 % (4074862)Time elapsed: 0.003 s
% 33.16/5.65 % (4074862)Peak memory usage: 88 MB
% 33.16/5.65 % (4074862)Instructions burned: 7 (million)
% 33.16/5.65 % (4074860)Instruction limit reached!
% 33.16/5.65 % (4074860)------------------------------
% 33.16/5.65 % (4074860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.16/5.65 % (4074860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.16/5.65 % (4074860)CaDiCaL version: 2.1.3
% 33.16/5.65 % (4074860)Termination reason: Instruction limit
% 33.16/5.65 % (4074860)Termination phase: Saturation
% 33.16/5.65 % (4074860)Time elapsed: 0.163 s
% 33.16/5.65 % (4074860)Peak memory usage: 90 MB
% 33.16/5.65 % (4074860)Instructions burned: 242 (million)
% 33.16/5.65 % (4074862)------------------------------
% 33.16/5.65 % (4074862)------------------------------
% 33.16/5.65 % (4074866)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2818172297:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 33.16/5.65 % (4074867)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=829158475:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 33.16/5.65 % (4074867)Instruction limit reached!
% 33.16/5.65 % (4074867)------------------------------
% 33.16/5.65 % (4074867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.16/5.65 % (4074867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.16/5.65 % (4074867)CaDiCaL version: 2.1.3
% 33.16/5.65 % (4074867)Termination reason: Instruction limit
% 33.16/5.65 % (4074867)Termination phase: Saturation
% 33.16/5.65 % (4074867)Time elapsed: 0.061 s
% 33.16/5.65 % (4074867)Peak memory usage: 89 MB
% 33.16/5.65 % (4074867)Instructions burned: 193 (million)
% 33.16/5.65 % (4074870)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2697448213:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 33.16/5.65 % (4074866)Instruction limit reached!
% 33.16/5.65 % (4074866)------------------------------
% 33.16/5.65 % (4074866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.16/5.65 % (4074866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.16/5.65 % (4074866)CaDiCaL version: 2.1.3
% 33.16/5.65 % (4074866)Termination reason: Instruction limit
% 48.03/7.76 % (4074866)Termination phase: Saturation
% 48.03/7.76 % (4074866)Time elapsed: 0.288 s
% 48.03/7.76 % (4074866)Peak memory usage: 92 MB
% 48.03/7.76 % (4074866)Instructions burned: 500 (million)
% 48.03/7.76 % (4074870)Instruction limit reached!
% 48.03/7.76 % (4074870)------------------------------
% 48.03/7.76 % (4074870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.03/7.76 % (4074870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.03/7.76 % (4074870)CaDiCaL version: 2.1.3
% 48.03/7.76 % (4074870)Termination reason: Instruction limit
% 48.03/7.76 % (4074870)Termination phase: Saturation
% 48.03/7.76 % (4074870)Time elapsed: 0.094 s
% 48.03/7.76 % (4074870)Peak memory usage: 92 MB
% 48.03/7.76 % (4074870)Instructions burned: 267 (million)
% 48.03/7.76 % (4074873)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=827780957:i=3256:kws=precedence:bd=preordered:av=off_2984 on theBenchmark for (2984ds/3256Mi)
% 48.03/7.76 % (4074872)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3577863565:cond=on:i=156:bs=on:gtg=exists_all:er=known_2984 on theBenchmark for (2984ds/156Mi)
% 48.03/7.76 % (4074872)Instruction limit reached!
% 48.03/7.76 % (4074872)------------------------------
% 48.03/7.76 % (4074872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.03/7.76 % (4074872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.03/7.76 % (4074872)CaDiCaL version: 2.1.3
% 48.03/7.76 % (4074872)Termination reason: Instruction limit
% 48.03/7.76 % (4074872)Termination phase: Saturation
% 48.03/7.76 % (4074872)Time elapsed: 0.107 s
% 48.03/7.76 % (4074872)Peak memory usage: 90 MB
% 48.03/7.76 % (4074872)Instructions burned: 157 (million)
% 48.03/7.76 % (4074876)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2076521286:i=537:av=off:ss=included_2981 on theBenchmark for (2981ds/537Mi)
% 48.03/7.76 % (4074876)Instruction limit reached!
% 48.03/7.76 % (4074876)------------------------------
% 48.03/7.76 % (4074876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.03/7.76 % (4074876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.03/7.76 % (4074876)CaDiCaL version: 2.1.3
% 48.03/7.76 % (4074876)Termination reason: Instruction limit
% 48.03/7.76 % (4074876)Termination phase: Saturation
% 48.03/7.76 % (4074876)Time elapsed: 0.273 s
% 48.03/7.76 % (4074876)Peak memory usage: 90 MB
% 48.03/7.76 % (4074876)Instructions burned: 538 (million)
% 48.03/7.76 % (4074878)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=76316009:i=180:bd=preordered:av=off_2977 on theBenchmark for (2977ds/180Mi)
% 48.03/7.76 % (4074878)Instruction limit reached!
% 48.03/7.76 % (4074878)------------------------------
% 48.03/7.76 % (4074878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.03/7.76 % (4074878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.03/7.76 % (4074878)CaDiCaL version: 2.1.3
% 48.03/7.76 % (4074878)Termination reason: Instruction limit
% 48.03/7.76 % (4074878)Termination phase: Saturation
% 48.03/7.76 % (4074878)Time elapsed: 0.102 s
% 48.03/7.76 % (4074878)Peak memory usage: 90 MB
% 48.03/7.76 % (4074878)Instructions burned: 181 (million)
% 48.03/7.76 % (4074880)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=1419769482:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2974 on theBenchmark for (2974ds/10307Mi)
% 48.03/7.76 % (4074852)Instruction limit reached!
% 48.03/7.76 % (4074852)------------------------------
% 48.03/7.76 % (4074852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.03/7.76 % (4074852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.03/7.76 % (4074852)CaDiCaL version: 2.1.3
% 48.03/7.76 % (4074852)Termination reason: Instruction limit
% 48.03/7.76 % (4074852)Termination phase: Saturation
% 48.03/7.76 % (4074852)Time elapsed: 2.089 s
% 48.03/7.76 % (4074852)Peak memory usage: 148 MB
% 48.03/7.76 % (4074852)Instructions burned: 3394 (million)
% 48.03/7.76 % (4074873)Instruction limit reached!
% 48.03/7.76 % (4074873)------------------------------
% 48.03/7.76 % (4074873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.03/7.76 % (4074873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.03/7.76 % (4074873)CaDiCaL version: 2.1.3
% 48.03/7.76 % (4074873)Termination reason: Instruction limit
% 48.03/7.76 % (4074873)Termination phase: Saturation
% 71.73/11.16 % (4074873)Time elapsed: 1.116 s
% 71.73/11.16 % (4074873)Peak memory usage: 149 MB
% 71.73/11.16 % (4074873)Instructions burned: 3259 (million)
% 71.73/11.16 % (4074883)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=3627170790:s2pl=no:i=8478:s2at=4:nm=6_2971 on theBenchmark for (2971ds/8478Mi)
% 71.73/11.16 % (4074882)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=543733191:i=412:gtgl=4:gtg=exists_all_2972 on theBenchmark for (2972ds/412Mi)
% 71.73/11.16 % (4074882)Instruction limit reached!
% 71.73/11.16 % (4074882)------------------------------
% 71.73/11.16 % (4074882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.73/11.16 % (4074882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.73/11.16 % (4074882)CaDiCaL version: 2.1.3
% 71.73/11.16 % (4074882)Termination reason: Instruction limit
% 71.73/11.16 % (4074882)Termination phase: Saturation
% 71.73/11.16 % (4074882)Time elapsed: 0.183 s
% 71.73/11.16 % (4074882)Peak memory usage: 90 MB
% 71.73/11.16 % (4074882)Instructions burned: 413 (million)
% 71.73/11.16 % (4074886)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=348114209:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2968 on theBenchmark for (2968ds/303Mi)
% 71.73/11.16 % (4074886)Refutation not found, incomplete strategy
% 71.73/11.16 % (4074886)------------------------------
% 71.73/11.16 % (4074886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.73/11.16 % (4074886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.73/11.16 % (4074886)CaDiCaL version: 2.1.3
% 71.73/11.16 % (4074886)Termination reason: Refutation not found, incomplete strategy
% 71.73/11.16 % (4074886)Time elapsed: 0.002 s
% 71.73/11.16 % (4074886)Peak memory usage: 88 MB
% 71.73/11.16 % (4074886)Instructions burned: 1 (million)
% 71.73/11.16 % (4074886)------------------------------
% 71.73/11.16 % (4074886)------------------------------
% 71.73/11.16 % (4074888)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=3638792586:st=4:i=720:sd=3:fsr=off:ss=axioms_2964 on theBenchmark for (2964ds/720Mi)
% 71.73/11.16 % (4074888)Instruction limit reached!
% 71.73/11.16 % (4074888)------------------------------
% 71.73/11.16 % (4074888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.73/11.16 % (4074888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.73/11.16 % (4074888)CaDiCaL version: 2.1.3
% 71.73/11.16 % (4074888)Termination reason: Instruction limit
% 71.73/11.16 % (4074888)Termination phase: Saturation
% 71.73/11.16 % (4074888)Time elapsed: 0.386 s
% 71.73/11.16 % (4074888)Peak memory usage: 93 MB
% 71.73/11.16 % (4074888)Instructions burned: 721 (million)
% 71.73/11.16 % (4074861)Instruction limit reached!
% 71.73/11.16 % (4074861)------------------------------
% 71.73/11.16 % (4074861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.73/11.16 % (4074861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.73/11.16 % (4074861)CaDiCaL version: 2.1.3
% 71.73/11.16 % (4074861)Termination reason: Instruction limit
% 71.73/11.16 % (4074861)Termination phase: Saturation
% 71.73/11.16 % (4074861)Time elapsed: 3.210 s
% 71.73/11.16 % (4074861)Peak memory usage: 163 MB
% 71.73/11.16 % (4074861)Instructions burned: 5208 (million)
% 71.73/11.16 % (4074890)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=2184124004:i=598:bs=on:bd=preordered:av=off:ss=axioms_2959 on theBenchmark for (2959ds/598Mi)
% 71.73/11.16 % (4074891)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=258975776:i=2989:sd=3:ss=axioms:sgt=60_2958 on theBenchmark for (2958ds/2989Mi)
% 71.73/11.16 % (4074890)Instruction limit reached!
% 71.73/11.16 % (4074890)------------------------------
% 71.73/11.16 % (4074890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.73/11.16 % (4074890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.73/11.16 % (4074890)CaDiCaL version: 2.1.3
% 71.73/11.16 % (4074890)Termination reason: Instruction limit
% 71.73/11.16 % (4074890)Termination phase: Saturation
% 71.73/11.16 % (4074890)Time elapsed: 0.364 s
% 71.73/11.16 % (4074890)Peak memory usage: 92 MB
% 71.73/11.16 % (4074890)Instructions burned: 599 (million)
% 71.73/11.16 % (4074894)dis+1011_1_ncem=casc2026/models/loop5.pt:sil=8000:tgt=full:npcc=on:bsd=on:sp=const_min:spb=goal_then_units:lcm=predicate:urr=ec_only:s2agt=16:random_seed=1806251555:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2953 on theBenchmark for (2953ds/1997Mi)
% 102.63/15.36 % (4074883)Instruction limit reached!
% 102.63/15.36 % (4074883)------------------------------
% 102.63/15.36 % (4074883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.63/15.36 % (4074883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.63/15.36 % (4074883)CaDiCaL version: 2.1.3
% 102.63/15.36 % (4074883)Termination reason: Instruction limit
% 102.63/15.36 % (4074883)Termination phase: Saturation
% 102.63/15.36 % (4074883)Time elapsed: 2.632 s
% 102.63/15.36 % (4074883)Peak memory usage: 154 MB
% 102.63/15.36 % (4074883)Instructions burned: 8479 (million)
% 102.63/15.36 % (4074896)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:drc=off:sp=unary_frequency:urr=ec_only:fd=preordered:random_seed=1458334719:i=2088:bd=preordered:av=off_2944 on theBenchmark for (2944ds/2088Mi)
% 102.63/15.36 % (4074894)Instruction limit reached!
% 102.63/15.36 % (4074894)------------------------------
% 102.63/15.36 % (4074894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.63/15.36 % (4074894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.63/15.36 % (4074894)CaDiCaL version: 2.1.3
% 102.63/15.36 % (4074894)Termination reason: Instruction limit
% 102.63/15.36 % (4074894)Termination phase: Saturation
% 102.63/15.36 % (4074894)Time elapsed: 1.301 s
% 102.63/15.36 % (4074894)Peak memory usage: 137 MB
% 102.63/15.36 % (4074894)Instructions burned: 1998 (million)
% 102.63/15.36 % (4074891)Instruction limit reached!
% 102.63/15.36 % (4074891)------------------------------
% 102.63/15.36 % (4074891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.63/15.36 % (4074891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.63/15.36 % (4074891)CaDiCaL version: 2.1.3
% 102.63/15.36 % (4074891)Termination reason: Instruction limit
% 102.63/15.36 % (4074891)Termination phase: Saturation
% 102.63/15.36 % (4074891)Time elapsed: 1.771 s
% 102.63/15.36 % (4074891)Peak memory usage: 141 MB
% 102.63/15.36 % (4074891)Instructions burned: 2990 (million)
% 102.63/15.36 % (4074898)lrs+1010_64:1_anc=all:to=lpo:sil=16000:fde=none:sp=const_frequency:urr=full:sac=on:random_seed=994016798:i=1098:nicw=on_2939 on theBenchmark for (2939ds/1098Mi)
% 102.63/15.36 % (4074899)lrs-1011_32:1_to=lpo:sil=32000:tgt=ground:sos=on:spb=goal_then_units:acc=on:random_seed=1353074229:i=433:bd=preordered_2939 on theBenchmark for (2939ds/433Mi)
% 102.63/15.36 % (4074899)Refutation not found, incomplete strategy
% 102.63/15.36 % (4074899)------------------------------
% 102.63/15.36 % (4074899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.63/15.36 % (4074899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.63/15.36 % (4074899)CaDiCaL version: 2.1.3
% 102.63/15.36 % (4074899)Termination reason: Refutation not found, incomplete strategy
% 102.63/15.36 % (4074899)Time elapsed: 0.011 s
% 102.63/15.36 % (4074899)Peak memory usage: 89 MB
% 102.63/15.36 % (4074899)Instructions burned: 17 (million)
% 102.63/15.36 % (4074896)Instruction limit reached!
% 102.63/15.36 % (4074896)------------------------------
% 102.63/15.36 % (4074896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.63/15.36 % (4074896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.63/15.36 % (4074896)CaDiCaL version: 2.1.3
% 102.63/15.36 % (4074896)Termination reason: Instruction limit
% 102.63/15.36 % (4074896)Termination phase: Saturation
% 102.63/15.36 % (4074896)Time elapsed: 0.726 s
% 102.63/15.36 % (4074896)Peak memory usage: 139 MB
% 102.63/15.36 % (4074896)Instructions burned: 2090 (million)
% 102.63/15.36 % (4074899)------------------------------
% 102.63/15.36 % (4074899)------------------------------
% 102.63/15.36 % (4074902)lrs+1002_1_ncem=casc2026/models/loop3.pt:sil=32000:npcc=on:prc=on:etr=on:spb=goal:flr=on:random_seed=2348390926:st=5.37:cond=on:i=2942:s2at=20:aac=none:fgj=on:bs=on:gtg=exists_sym:ss=axioms:er=filter:sgt=16_2935 on theBenchmark for (2935ds/2942Mi)
% 102.63/15.36 % (4074903)lrs+35_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=reverse_arity:urr=full:rp=on:br=off:random_seed=4050309784:i=6922:s2at=5:sd=3:bd=all:ss=axioms:er=known:sgt=32_2934 on theBenchmark for (2934ds/6922Mi)
% 102.63/15.36 % (4074898)Instruction limit reached!
% 102.63/15.36 % (4074898)------------------------------
% 102.63/15.36 % (4074898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.71/16.47 % (4074898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.71/16.47 % (4074898)CaDiCaL version: 2.1.3
% 109.71/16.47 % (4074898)Termination reason: Instruction limit
% 109.71/16.47 % (4074898)Termination phase: Saturation
% 109.71/16.47 % (4074898)Time elapsed: 0.651 s
% 109.71/16.47 % (4074898)Peak memory usage: 102 MB
% 109.71/16.47 % (4074898)Instructions burned: 1099 (million)
% 109.71/16.47 % (4074906)dis+10_5:1_sil=8000:tgt=full:plsq=on:plsqc=1:plsqr=32,1:urr=on:fd=off:nwc=0.5:br=off:slsqc=3:slsq=on:random_seed=2584483379:s2a=on:i=596:s2at=2.3:gtgl=5:gtg=all:sup=off_2931 on theBenchmark for (2931ds/596Mi)
% 109.71/16.47 % (4074906)Instruction limit reached!
% 109.71/16.47 % (4074906)------------------------------
% 109.71/16.47 % (4074906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.71/16.47 % (4074906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.71/16.47 % (4074906)CaDiCaL version: 2.1.3
% 109.71/16.47 % (4074906)Termination reason: Instruction limit
% 109.71/16.47 % (4074906)Termination phase: Saturation
% 109.71/16.47 % (4074906)Time elapsed: 0.324 s
% 109.71/16.47 % (4074906)Peak memory usage: 99 MB
% 109.71/16.47 % (4074906)Instructions burned: 597 (million)
% 109.71/16.47 % (4074908)lrs+21_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=non_intro:urr=on:fd=preordered:random_seed=3273364464:i=4123:kws=inv_frequency:bd=preordered:av=off:er=known_2926 on theBenchmark for (2926ds/4123Mi)
% 109.71/16.47 % (4074902)Instruction limit reached!
% 109.71/16.47 % (4074902)------------------------------
% 109.71/16.47 % (4074902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.71/16.47 % (4074902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.71/16.47 % (4074902)CaDiCaL version: 2.1.3
% 109.71/16.47 % (4074902)Termination reason: Instruction limit
% 109.71/16.47 % (4074902)Termination phase: Saturation
% 109.71/16.47 % (4074902)Time elapsed: 1.101 s
% 109.71/16.47 % (4074902)Peak memory usage: 143 MB
% 109.71/16.47 % (4074902)Instructions burned: 2943 (million)
% 109.71/16.47 % (4074910)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1885989891:i=16411:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2923 on theBenchmark for (2923ds/16411Mi)
% 109.71/16.47 % (4074880)Instruction limit reached!
% 109.71/16.47 % (4074880)------------------------------
% 109.71/16.47 % (4074880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.71/16.47 % (4074880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.71/16.47 % (4074880)CaDiCaL version: 2.1.3
% 109.71/16.47 % (4074880)Termination reason: Instruction limit
% 109.71/16.47 % (4074880)Termination phase: Saturation
% 109.71/16.47 % (4074880)Time elapsed: 6.312 s
% 109.71/16.47 % (4074880)Peak memory usage: 180 MB
% 109.71/16.47 % (4074880)Instructions burned: 10307 (million)
% 109.71/16.47 % (4074912)lrs+0_1_ncem=casc2026/models/loop1.pt:sil=8000:tgt=full:npcc=on:sp=reverse_frequency:gs=on:random_seed=617056261:i=1670:kws=inv_precedence:bd=all:av=off:gtg=exists_all_2909 on theBenchmark for (2909ds/1670Mi)
% 109.71/16.47 % (4074908)Instruction limit reached!
% 109.71/16.47 % (4074908)------------------------------
% 109.71/16.47 % (4074908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.71/16.47 % (4074908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.71/16.47 % (4074908)CaDiCaL version: 2.1.3
% 109.71/16.47 % (4074908)Termination reason: Instruction limit
% 109.71/16.47 % (4074908)Termination phase: Saturation
% 109.71/16.47 % (4074908)Time elapsed: 2.579 s
% 109.71/16.47 % (4074908)Peak memory usage: 160 MB
% 109.71/16.47 % (4074908)Instructions burned: 4123 (million)
% 109.71/16.47 % (4074912)Instruction limit reached!
% 109.71/16.47 % (4074912)------------------------------
% 109.71/16.47 % (4074912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.71/16.47 % (4074912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.71/16.47 % (4074912)CaDiCaL version: 2.1.3
% 109.71/16.47 % (4074912)Termination reason: Instruction limit
% 109.71/16.47 % (4074912)Termination phase: Saturation
% 109.71/16.47 % (4074912)Time elapsed: 1.047 s
% 109.71/16.47 % (4074912)Peak memory usage: 136 MB
% 109.71/16.47 % (4074912)Instructions burned: 1671 (million)
% 109.71/16.47 % (4074914)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:prc=on:drc=off:fde=unused:sp=reverse_frequency:updr=off:random_seed=1219006051:st=3:cond=fast:i=1722:sd=2:ss=included:fsd=on_2898 on theBenchmark for (2898ds/1722Mi)
% 81.01/16.81 % (4074915)ott-1004_1_anc=all_dependent:to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:sas=cadical:sp=const_frequency:acc=on:urr=ec_only:gs=on:s2agt=40:alpa=false:sac=on:random_seed=1999524266:cts=off:cond=on:i=9530:bs=on:fsd=on_2897 on theBenchmark for (2897ds/9530Mi)
% 81.01/16.81 % (4074903)Instruction limit reached!
% 81.01/16.81 % (4074903)------------------------------
% 81.01/16.81 % (4074903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.01/16.81 % (4074903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.01/16.81 % (4074903)CaDiCaL version: 2.1.3
% 81.01/16.81 % (4074903)Termination reason: Instruction limit
% 81.01/16.81 % (4074903)Termination phase: Saturation
% 81.01/16.81 % (4074903)Time elapsed: 4.058 s
% 81.01/16.81 % (4074903)Peak memory usage: 172 MB
% 81.01/16.81 % (4074903)Instructions burned: 6923 (million)
% 81.01/16.81 % (4074918)lrs+10_1_ncem=casc2026/models/loop4.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1608346175:st=2:i=4495:sd=10:ss=included_2892 on theBenchmark for (2892ds/4495Mi)
% 81.01/16.81 % (4074914)Instruction limit reached!
% 81.01/16.81 % (4074914)------------------------------
% 81.01/16.81 % (4074914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.01/16.81 % (4074914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.01/16.81 % (4074914)CaDiCaL version: 2.1.3
% 81.01/16.81 % (4074914)Termination reason: Instruction limit
% 81.01/16.81 % (4074914)Termination phase: Saturation
% 81.01/16.81 % (4074914)Time elapsed: 1.213 s
% 81.01/16.81 % (4074914)Peak memory usage: 134 MB
% 81.01/16.81 % (4074914)Instructions burned: 1722 (million)
% 81.01/16.81 % (4074920)lrs+1002_1_sfv=off:ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=reverse_arity:spb=non_intro:s2agt=16:random_seed=3160869581:cond=fast:i=4920:s2at=1.9:kws=inv_frequency:av=off:er=filter_2885 on theBenchmark for (2885ds/4920Mi)
% 81.01/16.81 % (4074910)Instruction limit reached!
% 81.01/16.81 % (4074910)------------------------------
% 81.01/16.81 % (4074910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.01/16.81 % (4074910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.01/16.81 % (4074910)CaDiCaL version: 2.1.3
% 81.01/16.81 % (4074910)Termination reason: Instruction limit
% 81.01/16.81 % (4074910)Termination phase: Saturation
% 81.01/16.81 % (4074910)Time elapsed: 5.336 s
% 81.01/16.81 % (4074910)Peak memory usage: 233 MB
% 81.01/16.81 % (4074910)Instructions burned: 16411 (million)
% 81.01/16.81 % (4074922)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:lcm=reverse:bce=on:bsr=unit_only:random_seed=3560286889:cts=off:cond=on:i=2083:s2at=-1:fgj=on:av=off_2868 on theBenchmark for (2868ds/2083Mi)
% 81.01/16.81 % (4074918)Instruction limit reached!
% 81.01/16.81 % (4074918)------------------------------
% 81.01/16.81 % (4074918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.01/16.81 % (4074918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.01/16.81 % (4074918)CaDiCaL version: 2.1.3
% 81.01/16.81 % (4074918)Termination reason: Instruction limit
% 81.01/16.81 % (4074918)Termination phase: Saturation
% 81.01/16.81 % (4074918)Time elapsed: 2.971 s
% 81.01/16.81 % (4074918)Peak memory usage: 156 MB
% 81.01/16.81 % (4074918)Instructions burned: 4495 (million)
% 81.01/16.81 % (4074922)Instruction limit reached!
% 81.01/16.81 % (4074922)------------------------------
% 81.01/16.81 % (4074922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.01/16.81 % (4074922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.01/16.81 % (4074922)CaDiCaL version: 2.1.3
% 81.01/16.81 % (4074922)Termination reason: Instruction limit
% 81.01/16.81 % (4074922)Termination phase: Saturation
% 81.01/16.81 % (4074922)Time elapsed: 0.719 s
% 81.01/16.81 % (4074922)Peak memory usage: 135 MB
% 81.01/16.81 % (4074922)Instructions burned: 2087 (million)
% 81.01/16.81 % (4074924)lrs+31_1_to=lpo:ncem=casc2026/models/loop2.pt:sil=16000:npcc=on:sp=weighted_frequency:sos=all:spb=units:lcm=predicate:bsr=on:gs=on:random_seed=1957216111:i=4629:av=off:gsp=on_2860 on theBenchmark for (2860ds/4629Mi)
% 81.01/16.81 % (4074925)dis+10_64_sil=16000:tgt=full:plsq=on:prc=on:drc=off:plsqc=2:plsqr=32,1:spb=goal:random_seed=1640698689:i=1258:av=off_2860 on theBenchmark for (2860ds/1258Mi)
% 81.01/16.81 % (4074925)Instruction limit reached!
% 81.01/16.81 % (4074925)------------------------------
% 81.01/16.81 % (4074925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.01/16.81 % (4074925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.01/16.81 % (4074925)CaDiCaL version: 2.1.3
% 81.01/16.81 % (4074925)Termination reason: Instruction limit
% 81.01/16.81 % (4074925)Termination phase: Saturation
% 81.01/16.81 % (4074925)Time elapsed: 0.382 s
% 81.01/16.81 % (4074925)Peak memory usage: 99 MB
% 81.01/16.81 % (4074925)Instructions burned: 1258 (million)
% 81.01/16.81 % (4074928)ott+1_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:fdtod=off:random_seed=1450959975:i=7343:av=off:ss=included_2855 on theBenchmark for (2855ds/7343Mi)
% 81.01/16.81 % (4074924)Refutation not found, incomplete strategy
% 81.01/16.81 % (4074924)------------------------------
% 81.01/16.81 % (4074924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.01/16.81 % (4074924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.01/16.81 % (4074924)CaDiCaL version: 2.1.3
% 81.01/16.81 % (4074924)Termination reason: Refutation not found, incomplete strategy
% 81.01/16.81 % (4074924)Time elapsed: 0.594 s
% 81.01/16.81 % (4074924)Peak memory usage: 129 MB
% 81.01/16.81 % (4074924)Instructions burned: 887 (million)
% 81.01/16.81 % (4074920)Instruction limit reached!
% 81.01/16.81 % (4074920)------------------------------
% 81.01/16.81 % (4074920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.01/16.81 % (4074920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.01/16.81 % (4074920)CaDiCaL version: 2.1.3
% 81.01/16.81 % (4074920)Termination reason: Instruction limit
% 81.01/16.81 % (4074920)Termination phase: Saturation
% 81.01/16.81 % (4074920)Time elapsed: 3.078 s
% 81.01/16.81 % (4074920)Peak memory usage: 152 MB
% 81.01/16.81 % (4074920)Instructions burned: 4921 (million)
% 81.01/16.81 % (4074930)lrs-1002_1_to=lpo:sil=16000:sp=reverse_arity:sos=on:random_seed=1389043334:i=1325:sd=2:ss=axioms:sgt=16_2852 on theBenchmark for (2852ds/1325Mi)
% 81.01/16.81 % (4074930)Refutation not found, incomplete strategy
% 81.01/16.81 % (4074930)------------------------------
% 81.01/16.81 % (4074930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.01/16.81 % (4074930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.01/16.81 % (4074930)CaDiCaL version: 2.1.3
% 81.01/16.81 % (4074930)Termination reason: Refutation not found, incomplete strategy
% 81.01/16.81 % (4074930)Time elapsed: 0.003 s
% 81.01/16.81 % (4074930)Peak memory usage: 88 MB
% 81.01/16.81 % (4074930)Instructions burned: 3 (million)
% 81.01/16.81 % (4074924)------------------------------
% 81.01/16.81 % (4074924)------------------------------
% 81.01/16.81 % (4074928)Refutation not found, incomplete strategy
% 81.01/16.81 % (4074928)------------------------------
% 81.01/16.81 % (4074928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.01/16.81 % (4074928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.01/16.81 % (4074928)CaDiCaL version: 2.1.3
% 81.01/16.81 % (4074928)Termination reason: Refutation not found, incomplete strategy
% 81.01/16.81 % (4074928)Time elapsed: 0.369 s
% 81.01/16.81 % (4074928)Peak memory usage: 129 MB
% 81.01/16.81 % (4074928)Instructions burned: 979 (million)
% 81.01/16.81 % (4074932)dis+1011_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:prc=on:sp=arity:lma=off:spb=intro:urr=ec_only:sac=on:random_seed=1832147855:st=3.9:cond=fast:i=2646:s2at=1.8:sd=5:amm=off:gtg=position:ss=axioms:fsd=on_2850 on theBenchmark for (2850ds/2646Mi)
% 81.01/16.81 % (4074928)------------------------------
% 81.01/16.81 % (4074928)------------------------------
% 81.01/16.81 % (4074930)------------------------------
% 81.01/16.81 % (4074930)------------------------------
% 81.01/16.81 % (4074934)dis-1003_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:sp=arity:sos=on:urr=on:random_seed=3201733915:i=1489:sd=2:ep=R:ss=axioms_2848 on theBenchmark for (2848ds/1489Mi)
% 81.01/16.81 % (4074935)lrs+20_1_ncem=casc2026/models/loop3.pt:sil=32000:npcc=on:fde=unused:sp=occurrence:sos=on:lcm=predicate:urr=full:sac=on:random_seed=1597675559:i=1503_2848 on theBenchmark for (2848ds/1503Mi)
% 81.01/16.81 % (4074934)Refutation not found, incomplete strategy
% 81.01/16.81 % (4074934)------------------------------
% 81.01/16.81 % (4074934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.01/16.81 % (4074934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.01/16.81 % (4074934)CaDiCaL version: 2.1.3
% 81.01/16.81 % (4074934)Termination reason: Refutation not found, incomplete strategy
% 81.01/16.81 % (4074934)Time elapsed: 0.340 s
% 81.01/16.81 % (4074934)Peak memory usage: 128 MB
% 81.01/16.81 % (4074934)Instructions burned: 862 (million)
% 81.01/16.81 % (4074915)First to succeed.
% 81.01/16.81 % (4074915)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4074823"
% 81.01/16.81 % (4074934)------------------------------
% 81.01/16.81 % (4074934)------------------------------
% 81.01/16.81 % (4074915)Refutation found. Thanks to Tanya!
% 81.01/16.81 % SZS status Unsatisfiable for theBenchmark
% 81.01/16.81 % SZS output start Proof for theBenchmark
% See solution above
% 113.33/17.01 % (4074915)------------------------------
% 113.33/17.01 % (4074915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.33/17.01 % (4074915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.33/17.01 % (4074915)CaDiCaL version: 2.1.3
% 113.33/17.01 % (4074915)Termination reason: Refutation
% 113.33/17.01 % (4074915)Time elapsed: 5.208 s
% 113.33/17.01 % (4074915)Peak memory usage: 162 MB
% 113.33/17.01 % (4074915)Instructions burned: 7559 (million)
% 113.33/17.01 % (4074915)------------------------------
% 113.33/17.01 % (4074915)------------------------------
% 113.33/17.01 % (4074823)Success in time 15.924 s
% 113.33/17.01 % Vampire exiting
%------------------------------------------------------------------------------