%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET176-6 : 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 : n014.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 12:40:25 PM UTC 2026
% Result : Unsatisfiable 1.62s 1.78s
% Output : Refutation 5.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 29
% Syntax : Number of formulae : 131 ( 18 unt; 17 def)
% Number of atoms : 280 ( 5 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 271 ( 122 ~; 132 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 21 ( 19 usr; 17 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),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(f7,axiom,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
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,complement(X1))
| ~ member(X0,universal_class)
| 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(f122,negated_conjecture,
union(x,union(y,intersection(x,z))) != union(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_absorbtion_for_union_1) ).
fof(f135,plain,
complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))) != complement(intersection(complement(x),complement(y))),
inference(definition_unfolding,[],[f122,f26,f26,f26]) ).
fof(f177,definition,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ0_eqProxy])],[equality_proxy_definition]) ).
fof(f178,plain,
~ sQ0_eqProxy(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),
inference(equality_proxy_replacement,[],[f135,f177]) ).
fof(f179,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(equality_proxy_replacement,[],[f7,f177]) ).
fof(f202,plain,
! [X0,X1] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(resolution,[],[f1,f4]) ).
fof(f209,plain,
( ~ subclass(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))))
| ~ subclass(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))) ),
inference(resolution,[],[f179,f178]) ).
fof(f212,definition,
( spl1_1
<=> subclass(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f213,plain,
( ~ subclass(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))))
| spl1_1 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f215,definition,
( spl1_2
<=> subclass(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f216,plain,
( ~ subclass(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y))))
| spl1_2 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f218,plain,
( ~ spl1_2
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f209,f212,f215]) ).
fof(f219,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))))
| spl1_1 ),
inference(resolution,[],[f213,f3]) ).
fof(f220,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(y))))
| spl1_1 ),
inference(resolution,[],[f213,f2]) ).
fof(f223,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))
| spl1_1 ),
inference(resolution,[],[f25,f219]) ).
fof(f225,definition,
( spl1_3
<=> member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f226,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f228,definition,
( spl1_4
<=> member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),universal_class) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f229,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),universal_class)
| spl1_4 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f230,plain,
( spl1_3
| ~ spl1_4
| spl1_1 ),
inference(avatar_split_clause,[],[f223,f212,f228,f225]) ).
fof(f231,plain,
( ! [X0] : ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),X0)
| spl1_4 ),
inference(resolution,[],[f229,f202]) ).
fof(f232,plain,
( $false
| spl1_1
| spl1_4 ),
inference(resolution,[],[f231,f220]) ).
fof(f239,plain,
( spl1_1
| spl1_4 ),
inference(avatar_contradiction_clause,[],[f232]) ).
fof(f240,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(complement(intersection(complement(y),complement(intersection(x,z))))))
| ~ spl1_3 ),
inference(resolution,[],[f226,f22]) ).
fof(f241,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(x))
| ~ spl1_3 ),
inference(resolution,[],[f226,f21]) ).
fof(f243,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(y),complement(intersection(x,z)))))
| ~ spl1_3 ),
inference(resolution,[],[f240,f24]) ).
fof(f244,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),intersection(complement(y),complement(intersection(x,z))))
| ~ spl1_3 ),
inference(resolution,[],[f243,f25]) ).
fof(f246,definition,
( spl1_5
<=> member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),intersection(complement(y),complement(intersection(x,z)))) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f247,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),intersection(complement(y),complement(intersection(x,z))))
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f248,plain,
( spl1_5
| ~ spl1_4
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f244,f225,f228,f246]) ).
fof(f249,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(intersection(complement(x),complement(y))))
| spl1_2 ),
inference(resolution,[],[f216,f3]) ).
fof(f250,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))))
| spl1_2 ),
inference(resolution,[],[f216,f2]) ).
fof(f252,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y)))
| spl1_2 ),
inference(resolution,[],[f249,f25]) ).
fof(f254,definition,
( spl1_6
<=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y))) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f255,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y)))
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f257,definition,
( spl1_7
<=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),universal_class) ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
fof(f258,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),universal_class)
| spl1_7 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f259,plain,
( spl1_6
| ~ spl1_7
| spl1_2 ),
inference(avatar_split_clause,[],[f252,f215,f257,f254]) ).
fof(f262,plain,
( ! [X0] : ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),X0)
| spl1_7 ),
inference(resolution,[],[f258,f202]) ).
fof(f263,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))
| spl1_2 ),
inference(resolution,[],[f250,f24]) ).
fof(f276,plain,
( $false
| spl1_2
| spl1_7 ),
inference(resolution,[],[f262,f250]) ).
fof(f283,plain,
( spl1_2
| spl1_7 ),
inference(avatar_contradiction_clause,[],[f276]) ).
fof(f284,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(y))
| ~ spl1_6 ),
inference(resolution,[],[f255,f22]) ).
fof(f285,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(x))
| ~ spl1_6 ),
inference(resolution,[],[f255,f21]) ).
fof(f287,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),x)
| ~ spl1_6 ),
inference(resolution,[],[f285,f24]) ).
fof(f291,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(complement(intersection(complement(y),complement(intersection(x,z))))))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(x))
| spl1_2 ),
inference(resolution,[],[f23,f263]) ).
fof(f293,definition,
( spl1_8
<=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(x)) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
fof(f294,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(x))
| spl1_8 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f296,definition,
( spl1_9
<=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(complement(intersection(complement(y),complement(intersection(x,z)))))) ),
introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).
fof(f297,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(complement(intersection(complement(y),complement(intersection(x,z))))))
| spl1_9 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f298,plain,
( ~ spl1_8
| ~ spl1_9
| spl1_2 ),
inference(avatar_split_clause,[],[f291,f215,f296,f293]) ).
fof(f299,plain,
( $false
| ~ spl1_6
| spl1_8 ),
inference(resolution,[],[f294,f285]) ).
fof(f301,plain,
( ~ spl1_6
| spl1_8 ),
inference(avatar_contradiction_clause,[],[f299]) ).
fof(f303,definition,
( spl1_10
<=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),x) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f304,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),x)
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f306,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(intersection(complement(y),complement(intersection(x,z)))))
| spl1_9 ),
inference(resolution,[],[f297,f25]) ).
fof(f308,definition,
( spl1_11
<=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(intersection(complement(y),complement(intersection(x,z))))) ),
introduced(definition,[new_symbols(definition,[spl1_11])],[avatar_definition]) ).
fof(f309,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(intersection(complement(y),complement(intersection(x,z)))))
| ~ spl1_11 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f310,plain,
( spl1_11
| ~ spl1_7
| spl1_9 ),
inference(avatar_split_clause,[],[f306,f296,f257,f308]) ).
fof(f311,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),intersection(complement(y),complement(intersection(x,z))))
| ~ spl1_11 ),
inference(resolution,[],[f309,f24]) ).
fof(f312,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(intersection(x,z)))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(y))
| ~ spl1_11 ),
inference(resolution,[],[f311,f23]) ).
fof(f314,definition,
( spl1_12
<=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(y)) ),
introduced(definition,[new_symbols(definition,[spl1_12])],[avatar_definition]) ).
fof(f315,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(y))
| spl1_12 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f317,definition,
( spl1_13
<=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(intersection(x,z))) ),
introduced(definition,[new_symbols(definition,[spl1_13])],[avatar_definition]) ).
fof(f318,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),complement(intersection(x,z)))
| spl1_13 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f319,plain,
( ~ spl1_12
| ~ spl1_13
| ~ spl1_11 ),
inference(avatar_split_clause,[],[f312,f308,f317,f314]) ).
fof(f320,plain,
( $false
| ~ spl1_6
| spl1_12 ),
inference(resolution,[],[f315,f284]) ).
fof(f322,plain,
( ~ spl1_6
| spl1_12 ),
inference(avatar_contradiction_clause,[],[f320]) ).
fof(f327,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),intersection(x,z))
| spl1_13 ),
inference(resolution,[],[f318,f25]) ).
fof(f329,definition,
( spl1_15
<=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),intersection(x,z)) ),
introduced(definition,[new_symbols(definition,[spl1_15])],[avatar_definition]) ).
fof(f330,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),intersection(x,z))
| ~ spl1_15 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f331,plain,
( spl1_15
| ~ spl1_7
| spl1_13 ),
inference(avatar_split_clause,[],[f327,f317,f257,f329]) ).
fof(f333,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(x),complement(y)))),x)
| ~ spl1_15 ),
inference(resolution,[],[f330,f21]) ).
fof(f334,plain,
( spl1_10
| ~ spl1_15 ),
inference(avatar_split_clause,[],[f333,f329,f303]) ).
fof(f335,plain,
( $false
| ~ spl1_6
| ~ spl1_10 ),
inference(resolution,[],[f304,f287]) ).
fof(f336,plain,
( ~ spl1_6
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f335]) ).
fof(f338,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(x),complement(y))))
| spl1_1 ),
inference(resolution,[],[f213,f2]) ).
fof(f339,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),intersection(complement(x),complement(y)))
| spl1_1 ),
inference(resolution,[],[f338,f24]) ).
fof(f343,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(y))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(x))
| spl1_1 ),
inference(resolution,[],[f339,f23]) ).
fof(f345,definition,
( spl1_16
<=> member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(x)) ),
introduced(definition,[new_symbols(definition,[spl1_16])],[avatar_definition]) ).
fof(f346,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(x))
| spl1_16 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f348,definition,
( spl1_17
<=> member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(y)) ),
introduced(definition,[new_symbols(definition,[spl1_17])],[avatar_definition]) ).
fof(f349,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(y))
| spl1_17 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f350,plain,
( ~ spl1_16
| ~ spl1_17
| spl1_1 ),
inference(avatar_split_clause,[],[f343,f212,f348,f345]) ).
fof(f353,plain,
( $false
| ~ spl1_3
| spl1_16 ),
inference(resolution,[],[f346,f241]) ).
fof(f355,plain,
( ~ spl1_3
| spl1_16 ),
inference(avatar_contradiction_clause,[],[f353]) ).
fof(f367,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(y))
| ~ spl1_5 ),
inference(resolution,[],[f247,f21]) ).
fof(f368,plain,
( $false
| ~ spl1_5
| spl1_17 ),
inference(resolution,[],[f367,f349]) ).
fof(f370,plain,
( ~ spl1_5
| spl1_17 ),
inference(avatar_contradiction_clause,[],[f368]) ).
cnf(s2,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f218]) ).
cnf(s3,plain,
( spl1_1
| spl1_3
| ~ spl1_4 ),
inference(sat_conversion,[],[f230]) ).
cnf(s4,plain,
( spl1_1
| spl1_4 ),
inference(sat_conversion,[],[f239]) ).
cnf(s5,plain,
( ~ spl1_3
| ~ spl1_4
| spl1_5 ),
inference(sat_conversion,[],[f248]) ).
cnf(s6,plain,
( spl1_2
| spl1_6
| ~ spl1_7 ),
inference(sat_conversion,[],[f259]) ).
cnf(s10,plain,
( spl1_2
| spl1_7 ),
inference(sat_conversion,[],[f283]) ).
cnf(s11,plain,
( spl1_2
| ~ spl1_8
| ~ spl1_9 ),
inference(sat_conversion,[],[f298]) ).
cnf(s12,plain,
( ~ spl1_6
| spl1_8 ),
inference(sat_conversion,[],[f301]) ).
cnf(s14,plain,
( ~ spl1_7
| spl1_9
| spl1_11 ),
inference(sat_conversion,[],[f310]) ).
cnf(s15,plain,
( ~ spl1_11
| ~ spl1_12
| ~ spl1_13 ),
inference(sat_conversion,[],[f319]) ).
cnf(s16,plain,
( ~ spl1_6
| spl1_12 ),
inference(sat_conversion,[],[f322]) ).
cnf(s18,plain,
( ~ spl1_7
| spl1_13
| spl1_15 ),
inference(sat_conversion,[],[f331]) ).
cnf(s19,plain,
( spl1_10
| ~ spl1_15 ),
inference(sat_conversion,[],[f334]) ).
cnf(s20,plain,
( ~ spl1_6
| ~ spl1_10 ),
inference(sat_conversion,[],[f336]) ).
cnf(s22,plain,
( spl1_1
| ~ spl1_16
| ~ spl1_17 ),
inference(sat_conversion,[],[f350]) ).
cnf(s23,plain,
( ~ spl1_3
| spl1_16 ),
inference(sat_conversion,[],[f355]) ).
cnf(s26,plain,
( ~ spl1_5
| spl1_17 ),
inference(sat_conversion,[],[f370]) ).
cnf(s27,plain,
( spl1_1
| ~ spl1_4 ),
inference(rat,[],[s26,s22,s5,s23,s3]) ).
cnf(s28,plain,
spl1_1,
inference(rat,[],[s27,s4]) ).
cnf(s29,plain,
~ spl1_2,
inference(rat,[],[s2,s28]) ).
cnf(s30,plain,
spl1_7,
inference(rat,[],[s10,s29]) ).
cnf(s31,plain,
spl1_6,
inference(rat,[],[s6,s30,s29]) ).
cnf(s32,plain,
~ spl1_10,
inference(rat,[],[s20,s31]) ).
cnf(s33,plain,
spl1_12,
inference(rat,[],[s16,s31]) ).
cnf(s34,plain,
spl1_8,
inference(rat,[],[s12,s31]) ).
cnf(s35,plain,
~ spl1_15,
inference(rat,[],[s19,s32]) ).
cnf(s36,plain,
~ spl1_9,
inference(rat,[],[s11,s29,s34]) ).
cnf(s37,plain,
spl1_13,
inference(rat,[],[s18,s30,s35]) ).
cnf(s38,plain,
spl1_11,
inference(rat,[],[s14,s30,s36]) ).
cnf(s39,plain,
$false,
inference(rat,[],[s15,s33,s37,s38]) ).
fof(f371,plain,
$false,
inference(avatar_sat_refutation,[],[s39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET176-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n014.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 01:01:02 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.45 Running first-order theorem proving
% 0.13/0.45 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
% 1.62/1.78 % (1334849)Input is clausal, will run a generic CNF schedule.
% 1.62/1.78 % (1334862)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=3625611602:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.62/1.78 % (1334863)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3292655601:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.62/1.78 % (1334867)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2532412022:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.62/1.78 % (1334865)lrs+10_1_sil=8000:sp=occurrence:random_seed=4232187269:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.62/1.78 % (1334864)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4095237301:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.62/1.78 % (1334865)Refutation not found, incomplete strategy
% 1.62/1.78 % (1334865)------------------------------
% 1.62/1.78 % (1334865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.62/1.78 % (1334865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/1.78 % (1334865)CaDiCaL version: 2.1.3
% 1.62/1.78 % (1334865)Termination reason: Refutation not found, incomplete strategy
% 1.62/1.78 % (1334865)Time elapsed: 0.006 s
% 1.62/1.78 % (1334865)Peak memory usage: 88 MB
% 1.62/1.78 % (1334865)Instructions burned: 4 (million)
% 1.62/1.78 % (1334868)dis-21_1_sil=8000:lcm=predicate:random_seed=1579655832: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)
% 1.62/1.78 % (1334866)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3516566874:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.62/1.78 % (1334868)First to succeed.
% 1.62/1.78 % (1334868)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1334849"
% 1.62/1.78 % (1334866)Instruction limit reached!
% 1.62/1.78 % (1334866)------------------------------
% 1.62/1.78 % (1334866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.62/1.78 % (1334866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/1.78 % (1334866)CaDiCaL version: 2.1.3
% 1.62/1.78 % (1334866)Termination reason: Instruction limit
% 1.62/1.78 % (1334866)Termination phase: Saturation
% 1.62/1.78 % (1334866)Time elapsed: 0.117 s
% 1.62/1.78 % (1334866)Peak memory usage: 89 MB
% 1.62/1.78 % (1334866)Instructions burned: 115 (million)
% 1.62/1.78 % (1334867)Instruction limit reached!
% 1.62/1.78 % (1334867)------------------------------
% 1.62/1.78 % (1334867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.62/1.78 % (1334867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/1.78 % (1334867)CaDiCaL version: 2.1.3
% 1.62/1.78 % (1334867)Termination reason: Instruction limit
% 1.62/1.78 % (1334867)Termination phase: Saturation
% 1.62/1.78 % (1334867)Time elapsed: 0.208 s
% 1.62/1.78 % (1334867)Peak memory usage: 90 MB
% 1.62/1.78 % (1334867)Instructions burned: 180 (million)
% 1.62/1.78 % (1334882)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=277762075:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 1.62/1.78 % (1334882)Refutation not found, incomplete strategy
% 1.62/1.78 % (1334882)------------------------------
% 1.62/1.78 % (1334882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.62/1.78 % (1334882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/1.78 % (1334882)CaDiCaL version: 2.1.3
% 1.62/1.78 % (1334882)Termination reason: Refutation not found, incomplete strategy
% 1.62/1.78 % (1334882)Time elapsed: 0.004 s
% 1.62/1.78 % (1334882)Peak memory usage: 88 MB
% 1.62/1.78 % (1334882)Instructions burned: 3 (million)
% 1.62/1.78 % (1334865)------------------------------
% 1.62/1.78 % (1334865)------------------------------
% 1.62/1.78 % (1334883)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=399976940:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 1.62/1.78 % (1334868)Refutation found. Thanks to Tanya!
% 1.62/1.78 % SZS status Unsatisfiable for theBenchmark
% 1.62/1.78 % SZS output start Proof for theBenchmark
% See solution above
% 5.53/2.01 % (1334868)------------------------------
% 5.53/2.01 % (1334868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/2.01 % (1334868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/2.01 % (1334868)CaDiCaL version: 2.1.3
% 5.53/2.01 % (1334868)Termination reason: Refutation
% 5.53/2.01 % (1334868)Time elapsed: 0.014 s
% 5.53/2.01 % (1334868)Peak memory usage: 89 MB
% 5.53/2.01 % (1334868)Instructions burned: 13 (million)
% 5.53/2.01 % (1334868)------------------------------
% 5.53/2.01 % (1334868)------------------------------
% 5.53/2.01 % (1334849)Success in time 0.67 s
% 5.53/2.01 % Vampire exiting
%------------------------------------------------------------------------------