TSTP Solution File: SET057-7 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET057-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 22:14:38 EDT 2023
% Result : Unsatisfiable 0.18s 0.43s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 140
% Syntax : Number of formulae : 229 ( 96 unt; 0 def)
% Number of atoms : 437 ( 45 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 342 ( 134 ~; 136 |; 0 &)
% ( 72 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 83 ( 81 usr; 73 prp; 0-3 aty)
% Number of functors : 32 ( 32 usr; 10 con; 0-3 aty)
% Number of variables : 232 (; 232 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f480,plain,
$false,
inference(avatar_sat_refutation,[],[f107,f112,f117,f122,f127,f131,f136,f140,f144,f148,f152,f157,f162,f166,f170,f174,f178,f182,f186,f191,f195,f199,f203,f209,f213,f217,f221,f225,f229,f233,f237,f241,f245,f252,f256,f260,f264,f268,f272,f276,f280,f284,f288,f292,f296,f300,f304,f308,f312,f316,f320,f324,f335,f352,f365,f369,f373,f377,f381,f385,f389,f436,f442,f446,f450,f454,f458,f462,f466,f470,f474,f478,f479]) ).
fof(f479,plain,
( spl0_1
| ~ spl0_54
| ~ spl0_53
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f414,f367,f332,f349,f104]) ).
fof(f104,plain,
( spl0_1
<=> x = y ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f349,plain,
( spl0_54
<=> subclass(x,y) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f332,plain,
( spl0_53
<=> subclass(y,x) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f367,plain,
( spl0_56
<=> ! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f414,plain,
( ~ subclass(x,y)
| x = y
| ~ spl0_53
| ~ spl0_56 ),
inference(resolution,[],[f368,f334]) ).
fof(f334,plain,
( subclass(y,x)
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f368,plain,
( ! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f478,plain,
spl0_72,
inference(avatar_split_clause,[],[f94,f476]) ).
fof(f476,plain,
( spl0_72
<=> ! [X0,X3,X2,X1] :
( member(X2,universal_class)
| ~ member(ordered_pair(X2,X3),cross_product(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f94,axiom,
! [X2,X3,X0,X1] :
( member(X2,universal_class)
| ~ member(ordered_pair(X2,X3),cross_product(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',corollary_1_to_cartesian_product) ).
fof(f474,plain,
spl0_71,
inference(avatar_split_clause,[],[f84,f472]) ).
fof(f472,plain,
( spl0_71
<=> ! [X9,X11,X10] :
( ~ compatible(X9,X10,X11)
| subclass(range_of(X9),domain_of(domain_of(X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f84,axiom,
! [X10,X11,X9] :
( ~ compatible(X9,X10,X11)
| subclass(range_of(X9),domain_of(domain_of(X11))) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',compatible3) ).
fof(f470,plain,
spl0_70,
inference(avatar_split_clause,[],[f83,f468]) ).
fof(f468,plain,
( spl0_70
<=> ! [X9,X11,X10] :
( ~ compatible(X9,X10,X11)
| domain_of(domain_of(X10)) = domain_of(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f83,axiom,
! [X10,X11,X9] :
( ~ compatible(X9,X10,X11)
| domain_of(domain_of(X10)) = domain_of(X9) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',compatible2) ).
fof(f466,plain,
spl0_69,
inference(avatar_split_clause,[],[f65,f464]) ).
fof(f464,plain,
( spl0_69
<=> ! [X0,X8] :
( ~ function(X8)
| ~ member(X0,universal_class)
| member(image(X8,X0),universal_class) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f65,axiom,
! [X0,X8] :
( ~ function(X8)
| ~ member(X0,universal_class)
| member(image(X8,X0),universal_class) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',replacement) ).
fof(f462,plain,
spl0_68,
inference(avatar_split_clause,[],[f49,f460]) ).
fof(f460,plain,
( spl0_68
<=> ! [X0] :
( inductive(X0)
| ~ member(null_class,X0)
| ~ subclass(image(successor_relation,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f49,axiom,
! [X0] :
( inductive(X0)
| ~ member(null_class,X0)
| ~ subclass(image(successor_relation,X0),X0) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',inductive3) ).
fof(f458,plain,
spl0_67,
inference(avatar_split_clause,[],[f29,f456]) ).
fof(f456,plain,
( spl0_67
<=> ! [X5,X1,X0] : restrict(X5,X0,X1) = intersection(cross_product(X0,X1),X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f29,axiom,
! [X0,X1,X5] : restrict(X5,X0,X1) = intersection(cross_product(X0,X1),X5),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',restriction2) ).
fof(f454,plain,
spl0_66,
inference(avatar_split_clause,[],[f28,f452]) ).
fof(f452,plain,
( spl0_66
<=> ! [X5,X0,X1] : intersection(X5,cross_product(X0,X1)) = restrict(X5,X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f28,axiom,
! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = restrict(X5,X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',restriction1) ).
fof(f450,plain,
spl0_65,
inference(avatar_split_clause,[],[f26,f448]) ).
fof(f448,plain,
( spl0_65
<=> ! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',union) ).
fof(f446,plain,
spl0_64,
inference(avatar_split_clause,[],[f25,f444]) ).
fof(f444,plain,
( spl0_64
<=> ! [X4,X0] :
( ~ member(X4,universal_class)
| member(X4,X0)
| member(X4,complement(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f25,axiom,
! [X0,X4] :
( ~ member(X4,universal_class)
| member(X4,X0)
| member(X4,complement(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',complement2) ).
fof(f442,plain,
spl0_63,
inference(avatar_split_clause,[],[f15,f440]) ).
fof(f440,plain,
( spl0_63
<=> ! [X2,X0,X1,X3] :
( member(X3,X1)
| ~ member(ordered_pair(X2,X3),cross_product(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( member(X3,X1)
| ~ member(ordered_pair(X2,X3),cross_product(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',cartesian_product2) ).
fof(f436,plain,
spl0_62,
inference(avatar_split_clause,[],[f14,f434]) ).
fof(f434,plain,
( spl0_62
<=> ! [X0,X3,X2,X1] :
( member(X2,X0)
| ~ member(ordered_pair(X2,X3),cross_product(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( member(X2,X0)
| ~ member(ordered_pair(X2,X3),cross_product(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',cartesian_product1) ).
fof(f389,plain,
spl0_61,
inference(avatar_split_clause,[],[f97,f387]) ).
fof(f387,plain,
( spl0_61
<=> ! [X4,X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X4)
| subclass(X0,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f97,axiom,
! [X0,X1,X4] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X4)
| subclass(X0,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',transitivity_of_subclass) ).
fof(f385,plain,
spl0_60,
inference(avatar_split_clause,[],[f68,f383]) ).
fof(f383,plain,
( spl0_60
<=> ! [X1,X8] : sum_class(image(X8,singleton(X1))) = apply(X8,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f68,axiom,
! [X1,X8] : sum_class(image(X8,singleton(X1))) = apply(X8,X1),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',apply) ).
fof(f381,plain,
spl0_59,
inference(avatar_split_clause,[],[f67,f379]) ).
fof(f379,plain,
( spl0_59
<=> ! [X0] :
( null_class = X0
| null_class = intersection(X0,regular(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f67,axiom,
! [X0] :
( null_class = X0
| null_class = intersection(X0,regular(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',regularity2) ).
fof(f377,plain,
spl0_58,
inference(avatar_split_clause,[],[f45,f375]) ).
fof(f375,plain,
( spl0_58
<=> ! [X0,X1] :
( successor(X0) = X1
| ~ member(ordered_pair(X0,X1),successor_relation) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f45,axiom,
! [X0,X1] :
( successor(X0) = X1
| ~ member(ordered_pair(X0,X1),successor_relation) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',successor_relation2) ).
fof(f373,plain,
spl0_57,
inference(avatar_split_clause,[],[f42,f371]) ).
fof(f371,plain,
( spl0_57
<=> ! [X5,X0] : range_of(restrict(X5,X0,universal_class)) = image(X5,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f42,axiom,
! [X0,X5] : range_of(restrict(X5,X0,universal_class)) = image(X5,X0),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',image) ).
fof(f369,plain,
spl0_56,
inference(avatar_split_clause,[],[f7,f367]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',subclass_implies_equal) ).
fof(f365,plain,
spl0_55,
inference(avatar_split_clause,[],[f1,f363]) ).
fof(f363,plain,
( spl0_55
<=> ! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',subclass_members) ).
fof(f352,plain,
( spl0_54
| ~ spl0_2
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f327,f258,f109,f349]) ).
fof(f109,plain,
( spl0_2
<=> member(not_subclass_element(x,y),y) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f258,plain,
( spl0_36
<=> ! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f327,plain,
( subclass(x,y)
| ~ spl0_2
| ~ spl0_36 ),
inference(resolution,[],[f259,f111]) ).
fof(f111,plain,
( member(not_subclass_element(x,y),y)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f259,plain,
( ! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f335,plain,
( spl0_53
| spl0_3
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f325,f250,f114,f332]) ).
fof(f114,plain,
( spl0_3
<=> member(not_subclass_element(y,x),y) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f250,plain,
( spl0_34
<=> ! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f325,plain,
( subclass(y,x)
| spl0_3
| ~ spl0_34 ),
inference(resolution,[],[f251,f116]) ).
fof(f116,plain,
( ~ member(not_subclass_element(y,x),y)
| spl0_3 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f251,plain,
( ! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f324,plain,
spl0_52,
inference(avatar_split_clause,[],[f88,f322]) ).
fof(f322,plain,
( spl0_52
<=> ! [X9,X11,X10] :
( ~ homomorphism(X9,X10,X11)
| compatible(X9,X10,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f88,axiom,
! [X10,X11,X9] :
( ~ homomorphism(X9,X10,X11)
| compatible(X9,X10,X11) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',homomorphism3) ).
fof(f320,plain,
spl0_51,
inference(avatar_split_clause,[],[f80,f318]) ).
fof(f318,plain,
( spl0_51
<=> ! [X8] :
( ~ operation(X8)
| subclass(range_of(X8),domain_of(domain_of(X8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f80,axiom,
! [X8] :
( ~ operation(X8)
| subclass(range_of(X8),domain_of(domain_of(X8))) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',operation3) ).
fof(f316,plain,
spl0_50,
inference(avatar_split_clause,[],[f76,f314]) ).
fof(f314,plain,
( spl0_50
<=> ! [X5] : complement(domain_of(intersection(X5,identity_relation))) = diagonalise(X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f76,axiom,
! [X5] : complement(domain_of(intersection(X5,identity_relation))) = diagonalise(X5),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',diagonalisation) ).
fof(f312,plain,
spl0_49,
inference(avatar_split_clause,[],[f63,f310]) ).
fof(f310,plain,
( spl0_49
<=> ! [X8] :
( ~ function(X8)
| subclass(compose(X8,inverse(X8)),identity_relation) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f63,axiom,
! [X8] :
( ~ function(X8)
| subclass(compose(X8,inverse(X8)),identity_relation) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',function2) ).
fof(f308,plain,
spl0_48,
inference(avatar_split_clause,[],[f61,f306]) ).
fof(f306,plain,
( spl0_48
<=> ! [X0] :
( single_valued_class(X0)
| ~ subclass(compose(X0,inverse(X0)),identity_relation) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f61,axiom,
! [X0] :
( single_valued_class(X0)
| ~ subclass(compose(X0,inverse(X0)),identity_relation) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',single_valued_class2) ).
fof(f304,plain,
spl0_47,
inference(avatar_split_clause,[],[f60,f302]) ).
fof(f302,plain,
( spl0_47
<=> ! [X0] :
( ~ single_valued_class(X0)
| subclass(compose(X0,inverse(X0)),identity_relation) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f60,axiom,
! [X0] :
( ~ single_valued_class(X0)
| subclass(compose(X0,inverse(X0)),identity_relation) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',single_valued_class1) ).
fof(f300,plain,
spl0_46,
inference(avatar_split_clause,[],[f55,f298]) ).
fof(f298,plain,
( spl0_46
<=> ! [X0] : complement(image(element_relation,complement(X0))) = power_class(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f55,axiom,
! [X0] : complement(image(element_relation,complement(X0))) = power_class(X0),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',power_class_definition) ).
fof(f296,plain,
spl0_45,
inference(avatar_split_clause,[],[f53,f294]) ).
fof(f294,plain,
( spl0_45
<=> ! [X0] : domain_of(restrict(element_relation,universal_class,X0)) = sum_class(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f53,axiom,
! [X0] : domain_of(restrict(element_relation,universal_class,X0)) = sum_class(X0),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',sum_class_definition) ).
fof(f292,plain,
spl0_44,
inference(avatar_split_clause,[],[f38,f290]) ).
fof(f290,plain,
( spl0_44
<=> ! [X1] : domain_of(flip(cross_product(X1,universal_class))) = inverse(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f38,axiom,
! [X1] : domain_of(flip(cross_product(X1,universal_class))) = inverse(X1),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',inverse) ).
fof(f288,plain,
spl0_43,
inference(avatar_split_clause,[],[f35,f286]) ).
fof(f286,plain,
( spl0_43
<=> ! [X0] : subclass(flip(X0),cross_product(cross_product(universal_class,universal_class),universal_class)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f35,axiom,
! [X0] : subclass(flip(X0),cross_product(cross_product(universal_class,universal_class),universal_class)),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',flip1) ).
fof(f284,plain,
spl0_42,
inference(avatar_split_clause,[],[f32,f282]) ).
fof(f282,plain,
( spl0_42
<=> ! [X0] : subclass(rotate(X0),cross_product(cross_product(universal_class,universal_class),universal_class)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f32,axiom,
! [X0] : subclass(rotate(X0),cross_product(cross_product(universal_class,universal_class),universal_class)),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',rotate1) ).
fof(f280,plain,
spl0_41,
inference(avatar_split_clause,[],[f22,f278]) ).
fof(f278,plain,
( spl0_41
<=> ! [X4,X0,X1] :
( member(X4,X1)
| ~ member(X4,intersection(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( member(X4,X1)
| ~ member(X4,intersection(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',intersection2) ).
fof(f276,plain,
spl0_40,
inference(avatar_split_clause,[],[f21,f274]) ).
fof(f274,plain,
( spl0_40
<=> ! [X4,X0,X1] :
( member(X4,X0)
| ~ member(X4,intersection(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( member(X4,X0)
| ~ member(X4,intersection(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',intersection1) ).
fof(f272,plain,
spl0_39,
inference(avatar_split_clause,[],[f19,f270]) ).
fof(f270,plain,
( spl0_39
<=> ! [X0,X1] :
( member(X0,X1)
| ~ member(ordered_pair(X0,X1),element_relation) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f19,axiom,
! [X0,X1] :
( member(X0,X1)
| ~ member(ordered_pair(X0,X1),element_relation) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',element_relation2) ).
fof(f268,plain,
spl0_38,
inference(avatar_split_clause,[],[f10,f266]) ).
fof(f266,plain,
( spl0_38
<=> ! [X0,X1] :
( ~ member(X1,universal_class)
| member(X1,unordered_pair(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f10,axiom,
! [X0,X1] :
( ~ member(X1,universal_class)
| member(X1,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',unordered_pair3) ).
fof(f264,plain,
spl0_37,
inference(avatar_split_clause,[],[f9,f262]) ).
fof(f262,plain,
( spl0_37
<=> ! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f9,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',unordered_pair2) ).
fof(f260,plain,
spl0_36,
inference(avatar_split_clause,[],[f3,f258]) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',not_subclass_members2) ).
fof(f256,plain,
( spl0_35
| ~ spl0_14
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f246,f211,f164,f254]) ).
fof(f254,plain,
( spl0_35
<=> ! [X0] :
( ~ member(null_class,X0)
| ~ inductive(complement(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f164,plain,
( spl0_14
<=> ! [X0] :
( ~ inductive(X0)
| member(null_class,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f211,plain,
( spl0_25
<=> ! [X4,X0] :
( ~ member(X4,X0)
| ~ member(X4,complement(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f246,plain,
( ! [X0] :
( ~ member(null_class,X0)
| ~ inductive(complement(X0)) )
| ~ spl0_14
| ~ spl0_25 ),
inference(resolution,[],[f212,f165]) ).
fof(f165,plain,
( ! [X0] :
( member(null_class,X0)
| ~ inductive(X0) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f212,plain,
( ! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f252,plain,
spl0_34,
inference(avatar_split_clause,[],[f2,f250]) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',not_subclass_members1) ).
fof(f245,plain,
spl0_33,
inference(avatar_split_clause,[],[f73,f243]) ).
fof(f243,plain,
( spl0_33
<=> ! [X8] :
( ~ function(X8)
| one_to_one(X8)
| ~ function(inverse(X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f73,axiom,
! [X8] :
( ~ function(X8)
| one_to_one(X8)
| ~ function(inverse(X8)) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',one_to_one3) ).
fof(f241,plain,
spl0_32,
inference(avatar_split_clause,[],[f66,f239]) ).
fof(f239,plain,
( spl0_32
<=> ! [X0] :
( null_class = X0
| member(regular(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f66,axiom,
! [X0] :
( null_class = X0
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',regularity1) ).
fof(f237,plain,
spl0_31,
inference(avatar_split_clause,[],[f62,f235]) ).
fof(f235,plain,
( spl0_31
<=> ! [X8] :
( ~ function(X8)
| subclass(X8,cross_product(universal_class,universal_class)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f62,axiom,
! [X8] :
( ~ function(X8)
| subclass(X8,cross_product(universal_class,universal_class)) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',function1) ).
fof(f233,plain,
spl0_30,
inference(avatar_split_clause,[],[f57,f231]) ).
fof(f231,plain,
( spl0_30
<=> ! [X5,X7] : subclass(compose(X7,X5),cross_product(universal_class,universal_class)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f57,axiom,
! [X7,X5] : subclass(compose(X7,X5),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',compose1) ).
fof(f229,plain,
spl0_29,
inference(avatar_split_clause,[],[f56,f227]) ).
fof(f227,plain,
( spl0_29
<=> ! [X2] :
( ~ member(X2,universal_class)
| member(power_class(X2),universal_class) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f56,axiom,
! [X2] :
( ~ member(X2,universal_class)
| member(power_class(X2),universal_class) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',power_class2) ).
fof(f225,plain,
spl0_28,
inference(avatar_split_clause,[],[f54,f223]) ).
fof(f223,plain,
( spl0_28
<=> ! [X0] :
( ~ member(X0,universal_class)
| member(sum_class(X0),universal_class) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f54,axiom,
! [X0] :
( ~ member(X0,universal_class)
| member(sum_class(X0),universal_class) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',sum_class2) ).
fof(f221,plain,
spl0_27,
inference(avatar_split_clause,[],[f48,f219]) ).
fof(f219,plain,
( spl0_27
<=> ! [X0] :
( ~ inductive(X0)
| subclass(image(successor_relation,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f48,axiom,
! [X0] :
( ~ inductive(X0)
| subclass(image(successor_relation,X0),X0) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',inductive2) ).
fof(f217,plain,
spl0_26,
inference(avatar_split_clause,[],[f43,f215]) ).
fof(f215,plain,
( spl0_26
<=> ! [X0] : union(X0,singleton(X0)) = successor(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f43,axiom,
! [X0] : union(X0,singleton(X0)) = successor(X0),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',successor) ).
fof(f213,plain,
spl0_25,
inference(avatar_split_clause,[],[f24,f211]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,X0)
| ~ member(X4,complement(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',complement1) ).
fof(f209,plain,
( spl0_24
| ~ spl0_11
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f205,f180,f150,f207]) ).
fof(f207,plain,
( spl0_24
<=> ! [X0] : member(singleton(X0),universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f150,plain,
( spl0_11
<=> ! [X0,X1] : member(unordered_pair(X0,X1),universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f180,plain,
( spl0_18
<=> ! [X0] : unordered_pair(X0,X0) = singleton(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f205,plain,
( ! [X0] : member(singleton(X0),universal_class)
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f151,f181]) ).
fof(f181,plain,
( ! [X0] : unordered_pair(X0,X0) = singleton(X0)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f151,plain,
( ! [X0,X1] : member(unordered_pair(X0,X1),universal_class)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f203,plain,
spl0_23,
inference(avatar_split_clause,[],[f87,f201]) ).
fof(f201,plain,
( spl0_23
<=> ! [X9,X11,X10] :
( operation(X11)
| ~ homomorphism(X9,X10,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f87,axiom,
! [X10,X11,X9] :
( operation(X11)
| ~ homomorphism(X9,X10,X11) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',homomorphism2) ).
fof(f199,plain,
spl0_22,
inference(avatar_split_clause,[],[f86,f197]) ).
fof(f197,plain,
( spl0_22
<=> ! [X9,X11,X10] :
( operation(X10)
| ~ homomorphism(X9,X10,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f86,axiom,
! [X10,X11,X9] :
( operation(X10)
| ~ homomorphism(X9,X10,X11) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',homomorphism1) ).
fof(f195,plain,
spl0_21,
inference(avatar_split_clause,[],[f82,f193]) ).
fof(f193,plain,
( spl0_21
<=> ! [X9,X11,X10] :
( function(X9)
| ~ compatible(X9,X10,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f82,axiom,
! [X10,X11,X9] :
( function(X9)
| ~ compatible(X9,X10,X11) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',compatible1) ).
fof(f191,plain,
spl0_20,
inference(avatar_split_clause,[],[f75,f188]) ).
fof(f188,plain,
( spl0_20
<=> identity_relation = intersection(inverse(subset_relation),subset_relation) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f75,axiom,
identity_relation = intersection(inverse(subset_relation),subset_relation),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',identity_relation) ).
fof(f186,plain,
spl0_19,
inference(avatar_split_clause,[],[f39,f184]) ).
fof(f184,plain,
( spl0_19
<=> ! [X4] : domain_of(inverse(X4)) = range_of(X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f39,axiom,
! [X4] : domain_of(inverse(X4)) = range_of(X4),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',range_of) ).
fof(f182,plain,
spl0_18,
inference(avatar_split_clause,[],[f12,f180]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',singleton_set) ).
fof(f178,plain,
spl0_17,
inference(avatar_split_clause,[],[f6,f176]) ).
fof(f176,plain,
( spl0_17
<=> ! [X0,X1] :
( X0 != X1
| subclass(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f6,axiom,
! [X0,X1] :
( X0 != X1
| subclass(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',equal_implies_subclass2) ).
fof(f174,plain,
spl0_16,
inference(avatar_split_clause,[],[f72,f172]) ).
fof(f172,plain,
( spl0_16
<=> ! [X8] :
( ~ one_to_one(X8)
| function(inverse(X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f72,axiom,
! [X8] :
( ~ one_to_one(X8)
| function(inverse(X8)) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',one_to_one2) ).
fof(f170,plain,
spl0_15,
inference(avatar_split_clause,[],[f51,f168]) ).
fof(f168,plain,
( spl0_15
<=> ! [X1] :
( ~ inductive(X1)
| subclass(omega,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f51,axiom,
! [X1] :
( ~ inductive(X1)
| subclass(omega,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',omega_is_inductive2) ).
fof(f166,plain,
spl0_14,
inference(avatar_split_clause,[],[f47,f164]) ).
fof(f47,axiom,
! [X0] :
( ~ inductive(X0)
| member(null_class,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',inductive1) ).
fof(f162,plain,
spl0_13,
inference(avatar_split_clause,[],[f44,f159]) ).
fof(f159,plain,
( spl0_13
<=> subclass(successor_relation,cross_product(universal_class,universal_class)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f44,axiom,
subclass(successor_relation,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',successor_relation1) ).
fof(f157,plain,
spl0_12,
inference(avatar_split_clause,[],[f18,f154]) ).
fof(f154,plain,
( spl0_12
<=> subclass(element_relation,cross_product(universal_class,universal_class)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f18,axiom,
subclass(element_relation,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',element_relation1) ).
fof(f152,plain,
spl0_11,
inference(avatar_split_clause,[],[f11,f150]) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',unordered_pairs_in_universal) ).
fof(f148,plain,
spl0_10,
inference(avatar_split_clause,[],[f78,f146]) ).
fof(f146,plain,
( spl0_10
<=> ! [X8] :
( ~ operation(X8)
| function(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f78,axiom,
! [X8] :
( ~ operation(X8)
| function(X8) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',operation1) ).
fof(f144,plain,
spl0_9,
inference(avatar_split_clause,[],[f71,f142]) ).
fof(f142,plain,
( spl0_9
<=> ! [X8] :
( ~ one_to_one(X8)
| function(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f71,axiom,
! [X8] :
( ~ one_to_one(X8)
| function(X8) ),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',one_to_one1) ).
fof(f140,plain,
spl0_8,
inference(avatar_split_clause,[],[f96,f138]) ).
fof(f138,plain,
( spl0_8
<=> ! [X0] : subclass(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f96,axiom,
! [X0] : subclass(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',subclass_is_reflexive) ).
fof(f136,plain,
spl0_7,
inference(avatar_split_clause,[],[f52,f133]) ).
fof(f133,plain,
( spl0_7
<=> member(omega,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f52,axiom,
member(omega,universal_class),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',omega_in_universal) ).
fof(f131,plain,
spl0_6,
inference(avatar_split_clause,[],[f4,f129]) ).
fof(f129,plain,
( spl0_6
<=> ! [X0] : subclass(X0,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',class_elements_are_sets) ).
fof(f127,plain,
spl0_5,
inference(avatar_split_clause,[],[f69,f124]) ).
fof(f124,plain,
( spl0_5
<=> function(choice) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f69,axiom,
function(choice),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',choice1) ).
fof(f122,plain,
spl0_4,
inference(avatar_split_clause,[],[f50,f119]) ).
fof(f119,plain,
( spl0_4
<=> inductive(omega) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f50,axiom,
inductive(omega),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',omega_is_inductive1) ).
fof(f117,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f100,f114]) ).
fof(f100,axiom,
~ member(not_subclass_element(y,x),y),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',prove_equality2_3) ).
fof(f112,plain,
spl0_2,
inference(avatar_split_clause,[],[f98,f109]) ).
fof(f98,axiom,
member(not_subclass_element(x,y),y),
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',prove_equality2_1) ).
fof(f107,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f99,f104]) ).
fof(f99,axiom,
x != y,
file('/export/starexec/sandbox2/tmp/tmp.qY7rZpVPSg/Vampire---4.8_28897',prove_equality2_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SET057-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 30 15:48:57 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.18/0.41 % (29003)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.42 % (29005)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.18/0.42 % (29006)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.18/0.42 % (29004)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.18/0.42 % (29007)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.18/0.42 % (29009)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.18/0.42 % (29008)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.18/0.42 % (29010)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.18/0.43 TRYING [1]
% 0.18/0.43 % (29008)First to succeed.
% 0.18/0.43 TRYING [2]
% 0.18/0.43 % (29008)Refutation found. Thanks to Tanya!
% 0.18/0.43 % SZS status Unsatisfiable for Vampire---4
% 0.18/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.18/0.43 % (29008)------------------------------
% 0.18/0.43 % (29008)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.18/0.43 % (29008)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.18/0.43 % (29008)Termination reason: Refutation
% 0.18/0.43
% 0.18/0.43 % (29008)Memory used [KB]: 5756
% 0.18/0.43 % (29008)Time elapsed: 0.011 s
% 0.18/0.43 % (29008)------------------------------
% 0.18/0.43 % (29008)------------------------------
% 0.18/0.43 % (29003)Success in time 0.077 s
% 0.18/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------