%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET181-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:40:25 PM UTC 2026
% Result : Unsatisfiable 2.66s 1.29s
% Output : Refutation 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 34
% Syntax : Number of formulae : 162 ( 18 unt; 22 def)
% Number of atoms : 360 ( 5 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 367 ( 169 ~; 176 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 26 ( 24 usr; 22 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/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f122,negated_conjecture,
union(complement(x),union(y,intersection(x,z))) != union(complement(x),union(y,z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_distribution_property2_1) ).
fof(f136,plain,
complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))) != complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),
inference(definition_unfolding,[],[f122,f26,f26,f26,f26]) ).
fof(f180,definition,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ0_eqProxy])],[equality_proxy_definition]) ).
fof(f181,plain,
~ sQ0_eqProxy(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),
inference(equality_proxy_replacement,[],[f136,f180]) ).
fof(f182,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(equality_proxy_replacement,[],[f7,f180]) ).
fof(f207,plain,
! [X0,X1] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(resolution,[],[f1,f4]) ).
fof(f215,plain,
( ~ subclass(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))))
| ~ subclass(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))) ),
inference(resolution,[],[f182,f181]) ).
fof(f218,definition,
( spl1_1
<=> subclass(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f219,plain,
( ~ subclass(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))))
| spl1_1 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f221,definition,
( spl1_2
<=> subclass(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f222,plain,
( ~ subclass(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))))
| spl1_2 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f224,plain,
( ~ spl1_2
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f215,f218,f221]) ).
fof(f225,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))))
| spl1_1 ),
inference(resolution,[],[f219,f3]) ).
fof(f226,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))))
| spl1_1 ),
inference(resolution,[],[f219,f2]) ).
fof(f229,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))
| spl1_1 ),
inference(resolution,[],[f25,f225]) ).
fof(f231,definition,
( spl1_3
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f232,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f234,definition,
( spl1_4
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),universal_class) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f235,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),universal_class)
| spl1_4 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f236,plain,
( spl1_3
| ~ spl1_4
| spl1_1 ),
inference(avatar_split_clause,[],[f229,f218,f234,f231]) ).
fof(f237,plain,
( ! [X0] : ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),X0)
| spl1_4 ),
inference(resolution,[],[f235,f207]) ).
fof(f238,plain,
( $false
| spl1_1
| spl1_4 ),
inference(resolution,[],[f237,f226]) ).
fof(f245,plain,
( spl1_1
| spl1_4 ),
inference(avatar_contradiction_clause,[],[f238]) ).
fof(f246,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(complement(intersection(complement(y),complement(intersection(x,z))))))
| ~ spl1_3 ),
inference(resolution,[],[f232,f22]) ).
fof(f247,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(complement(x)))
| ~ spl1_3 ),
inference(resolution,[],[f232,f21]) ).
fof(f248,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(x))
| ~ spl1_3 ),
inference(resolution,[],[f247,f24]) ).
fof(f249,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),x)
| ~ spl1_3 ),
inference(resolution,[],[f248,f25]) ).
fof(f251,definition,
( spl1_5
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),x) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f253,plain,
( spl1_5
| ~ spl1_4
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f249,f231,f234,f251]) ).
fof(f254,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))))
| spl1_2 ),
inference(resolution,[],[f222,f3]) ).
fof(f255,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))))
| spl1_2 ),
inference(resolution,[],[f222,f2]) ).
fof(f259,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))
| spl1_2 ),
inference(resolution,[],[f254,f25]) ).
fof(f261,definition,
( spl1_6
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f262,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f264,definition,
( spl1_7
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),universal_class) ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
fof(f265,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),universal_class)
| spl1_7 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f266,plain,
( spl1_6
| ~ spl1_7
| spl1_2 ),
inference(avatar_split_clause,[],[f259,f221,f264,f261]) ).
fof(f267,plain,
( ! [X0] : ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),X0)
| spl1_7 ),
inference(resolution,[],[f265,f207]) ).
fof(f268,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))
| spl1_2 ),
inference(resolution,[],[f255,f24]) ).
fof(f279,plain,
( $false
| spl1_2
| spl1_7 ),
inference(resolution,[],[f267,f255]) ).
fof(f286,plain,
( spl1_2
| spl1_7 ),
inference(avatar_contradiction_clause,[],[f279]) ).
fof(f287,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),complement(complement(intersection(complement(y),complement(z)))))
| ~ spl1_6 ),
inference(resolution,[],[f262,f22]) ).
fof(f288,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),complement(complement(x)))
| ~ spl1_6 ),
inference(resolution,[],[f262,f21]) ).
fof(f295,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),complement(intersection(complement(y),complement(z))))
| ~ spl1_6 ),
inference(resolution,[],[f287,f24]) ).
fof(f296,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),intersection(complement(y),complement(z)))
| ~ spl1_6 ),
inference(resolution,[],[f295,f25]) ).
fof(f298,definition,
( spl1_9
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),intersection(complement(y),complement(z))) ),
introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).
fof(f299,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),intersection(complement(y),complement(z)))
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f300,plain,
( spl1_9
| ~ spl1_7
| ~ spl1_6 ),
inference(avatar_split_clause,[],[f296,f261,f264,f298]) ).
fof(f301,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),complement(z))
| ~ spl1_9 ),
inference(resolution,[],[f299,f22]) ).
fof(f302,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),complement(y))
| ~ spl1_9 ),
inference(resolution,[],[f299,f21]) ).
fof(f303,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),z)
| ~ spl1_9 ),
inference(resolution,[],[f301,f24]) ).
fof(f308,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),complement(complement(intersection(complement(y),complement(intersection(x,z))))))
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),complement(complement(x)))
| spl1_2 ),
inference(resolution,[],[f23,f268]) ).
fof(f310,definition,
( spl1_10
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),complement(complement(x))) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f311,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),complement(complement(x)))
| spl1_10 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f313,definition,
( spl1_11
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),complement(complement(intersection(complement(y),complement(intersection(x,z)))))) ),
introduced(definition,[new_symbols(definition,[spl1_11])],[avatar_definition]) ).
fof(f314,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),complement(complement(intersection(complement(y),complement(intersection(x,z))))))
| spl1_11 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f315,plain,
( ~ spl1_10
| ~ spl1_11
| spl1_2 ),
inference(avatar_split_clause,[],[f308,f221,f313,f310]) ).
fof(f316,plain,
( $false
| ~ spl1_6
| spl1_10 ),
inference(resolution,[],[f311,f288]) ).
fof(f318,plain,
( ~ spl1_6
| spl1_10 ),
inference(avatar_contradiction_clause,[],[f316]) ).
fof(f323,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),complement(intersection(complement(y),complement(intersection(x,z)))))
| spl1_11 ),
inference(resolution,[],[f314,f25]) ).
fof(f325,definition,
( spl1_13
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),complement(intersection(complement(y),complement(intersection(x,z))))) ),
introduced(definition,[new_symbols(definition,[spl1_13])],[avatar_definition]) ).
fof(f326,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),complement(intersection(complement(y),complement(intersection(x,z)))))
| ~ spl1_13 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f327,plain,
( spl1_13
| ~ spl1_7
| spl1_11 ),
inference(avatar_split_clause,[],[f323,f313,f264,f325]) ).
fof(f328,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),intersection(complement(y),complement(intersection(x,z))))
| ~ spl1_13 ),
inference(resolution,[],[f326,f24]) ).
fof(f329,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),complement(intersection(x,z)))
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),complement(y))
| ~ spl1_13 ),
inference(resolution,[],[f328,f23]) ).
fof(f331,definition,
( spl1_14
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),complement(y)) ),
introduced(definition,[new_symbols(definition,[spl1_14])],[avatar_definition]) ).
fof(f332,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),complement(y))
| spl1_14 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f334,definition,
( spl1_15
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),complement(intersection(x,z))) ),
introduced(definition,[new_symbols(definition,[spl1_15])],[avatar_definition]) ).
fof(f335,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),complement(intersection(x,z)))
| spl1_15 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f336,plain,
( ~ spl1_14
| ~ spl1_15
| ~ spl1_13 ),
inference(avatar_split_clause,[],[f329,f325,f334,f331]) ).
fof(f337,plain,
( $false
| ~ spl1_9
| spl1_14 ),
inference(resolution,[],[f332,f302]) ).
fof(f339,plain,
( ~ spl1_9
| spl1_14 ),
inference(avatar_contradiction_clause,[],[f337]) ).
fof(f344,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),intersection(x,z))
| spl1_15 ),
inference(resolution,[],[f335,f25]) ).
fof(f346,definition,
( spl1_17
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),intersection(x,z)) ),
introduced(definition,[new_symbols(definition,[spl1_17])],[avatar_definition]) ).
fof(f347,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),intersection(x,z))
| ~ spl1_17 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f348,plain,
( spl1_17
| ~ spl1_7
| spl1_15 ),
inference(avatar_split_clause,[],[f344,f334,f264,f346]) ).
fof(f349,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))),z)
| ~ spl1_17 ),
inference(resolution,[],[f347,f22]) ).
fof(f351,plain,
( $false
| ~ spl1_9
| ~ spl1_17 ),
inference(resolution,[],[f349,f303]) ).
fof(f352,plain,
( ~ spl1_9
| ~ spl1_17 ),
inference(avatar_contradiction_clause,[],[f351]) ).
fof(f354,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))))
| spl1_1 ),
inference(resolution,[],[f219,f2]) ).
fof(f355,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z))))))
| spl1_1 ),
inference(resolution,[],[f354,f24]) ).
fof(f360,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(complement(intersection(complement(y),complement(z)))))
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(complement(x)))
| spl1_1 ),
inference(resolution,[],[f355,f23]) ).
fof(f362,definition,
( spl1_18
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(complement(x))) ),
introduced(definition,[new_symbols(definition,[spl1_18])],[avatar_definition]) ).
fof(f363,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(complement(x)))
| spl1_18 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f365,definition,
( spl1_19
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(complement(intersection(complement(y),complement(z))))) ),
introduced(definition,[new_symbols(definition,[spl1_19])],[avatar_definition]) ).
fof(f366,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(complement(intersection(complement(y),complement(z)))))
| spl1_19 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f367,plain,
( ~ spl1_18
| ~ spl1_19
| spl1_1 ),
inference(avatar_split_clause,[],[f360,f218,f365,f362]) ).
fof(f368,plain,
( $false
| ~ spl1_3
| spl1_18 ),
inference(resolution,[],[f363,f247]) ).
fof(f370,plain,
( ~ spl1_3
| spl1_18 ),
inference(avatar_contradiction_clause,[],[f368]) ).
fof(f377,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(y),complement(z))))
| spl1_19 ),
inference(resolution,[],[f366,f25]) ).
fof(f379,definition,
( spl1_21
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(y),complement(z)))) ),
introduced(definition,[new_symbols(definition,[spl1_21])],[avatar_definition]) ).
fof(f380,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(y),complement(z))))
| ~ spl1_21 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f381,plain,
( spl1_21
| ~ spl1_4
| spl1_19 ),
inference(avatar_split_clause,[],[f377,f365,f234,f379]) ).
fof(f382,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(complement(y),complement(intersection(x,z)))))
| ~ spl1_3 ),
inference(resolution,[],[f246,f24]) ).
fof(f383,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),intersection(complement(y),complement(z)))
| ~ spl1_21 ),
inference(resolution,[],[f380,f24]) ).
fof(f384,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(z))
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(y))
| ~ spl1_21 ),
inference(resolution,[],[f383,f23]) ).
fof(f386,definition,
( spl1_22
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(y)) ),
introduced(definition,[new_symbols(definition,[spl1_22])],[avatar_definition]) ).
fof(f387,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(y))
| spl1_22 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f389,definition,
( spl1_23
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(z)) ),
introduced(definition,[new_symbols(definition,[spl1_23])],[avatar_definition]) ).
fof(f390,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(z))
| spl1_23 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f391,plain,
( ~ spl1_22
| ~ spl1_23
| ~ spl1_21 ),
inference(avatar_split_clause,[],[f384,f379,f389,f386]) ).
fof(f392,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),intersection(complement(y),complement(intersection(x,z))))
| ~ spl1_3 ),
inference(resolution,[],[f382,f25]) ).
fof(f394,definition,
( spl1_24
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),intersection(complement(y),complement(intersection(x,z)))) ),
introduced(definition,[new_symbols(definition,[spl1_24])],[avatar_definition]) ).
fof(f395,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),intersection(complement(y),complement(intersection(x,z))))
| ~ spl1_24 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f396,plain,
( spl1_24
| ~ spl1_4
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f392,f231,f234,f394]) ).
fof(f402,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(intersection(x,z)))
| ~ spl1_24 ),
inference(resolution,[],[f395,f22]) ).
fof(f403,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),complement(y))
| ~ spl1_24 ),
inference(resolution,[],[f395,f21]) ).
fof(f404,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),z)
| spl1_23 ),
inference(resolution,[],[f390,f25]) ).
fof(f406,definition,
( spl1_26
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),z) ),
introduced(definition,[new_symbols(definition,[spl1_26])],[avatar_definition]) ).
fof(f408,plain,
( spl1_26
| ~ spl1_4
| spl1_23 ),
inference(avatar_split_clause,[],[f404,f389,f234,f406]) ).
fof(f411,plain,
( $false
| spl1_22
| ~ spl1_24 ),
inference(resolution,[],[f403,f387]) ).
fof(f413,plain,
( spl1_22
| ~ spl1_24 ),
inference(avatar_contradiction_clause,[],[f411]) ).
fof(f417,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),intersection(x,z))
| ~ spl1_24 ),
inference(resolution,[],[f402,f24]) ).
fof(f418,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),z)
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(complement(x)),complement(complement(intersection(complement(y),complement(intersection(x,z)))))))),x)
| ~ spl1_24 ),
inference(resolution,[],[f417,f23]) ).
fof(f421,plain,
( ~ spl1_5
| ~ spl1_26
| ~ spl1_24 ),
inference(avatar_split_clause,[],[f418,f394,f406,f251]) ).
cnf(s2,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f224]) ).
cnf(s3,plain,
( spl1_1
| spl1_3
| ~ spl1_4 ),
inference(sat_conversion,[],[f236]) ).
cnf(s4,plain,
( spl1_1
| spl1_4 ),
inference(sat_conversion,[],[f245]) ).
cnf(s5,plain,
( ~ spl1_3
| ~ spl1_4
| spl1_5 ),
inference(sat_conversion,[],[f253]) ).
cnf(s6,plain,
( spl1_2
| spl1_6
| ~ spl1_7 ),
inference(sat_conversion,[],[f266]) ).
cnf(s9,plain,
( spl1_2
| spl1_7 ),
inference(sat_conversion,[],[f286]) ).
cnf(s11,plain,
( ~ spl1_6
| ~ spl1_7
| spl1_9 ),
inference(sat_conversion,[],[f300]) ).
cnf(s12,plain,
( spl1_2
| ~ spl1_10
| ~ spl1_11 ),
inference(sat_conversion,[],[f315]) ).
cnf(s13,plain,
( ~ spl1_6
| spl1_10 ),
inference(sat_conversion,[],[f318]) ).
cnf(s15,plain,
( ~ spl1_7
| spl1_11
| spl1_13 ),
inference(sat_conversion,[],[f327]) ).
cnf(s16,plain,
( ~ spl1_13
| ~ spl1_14
| ~ spl1_15 ),
inference(sat_conversion,[],[f336]) ).
cnf(s17,plain,
( ~ spl1_9
| spl1_14 ),
inference(sat_conversion,[],[f339]) ).
cnf(s19,plain,
( ~ spl1_7
| spl1_15
| spl1_17 ),
inference(sat_conversion,[],[f348]) ).
cnf(s20,plain,
( ~ spl1_9
| ~ spl1_17 ),
inference(sat_conversion,[],[f352]) ).
cnf(s22,plain,
( spl1_1
| ~ spl1_18
| ~ spl1_19 ),
inference(sat_conversion,[],[f367]) ).
cnf(s23,plain,
( ~ spl1_3
| spl1_18 ),
inference(sat_conversion,[],[f370]) ).
cnf(s25,plain,
( ~ spl1_4
| spl1_19
| spl1_21 ),
inference(sat_conversion,[],[f381]) ).
cnf(s26,plain,
( ~ spl1_21
| ~ spl1_22
| ~ spl1_23 ),
inference(sat_conversion,[],[f391]) ).
cnf(s27,plain,
( ~ spl1_3
| ~ spl1_4
| spl1_24 ),
inference(sat_conversion,[],[f396]) ).
cnf(s29,plain,
( ~ spl1_4
| spl1_23
| spl1_26 ),
inference(sat_conversion,[],[f408]) ).
cnf(s31,plain,
( spl1_22
| ~ spl1_24 ),
inference(sat_conversion,[],[f413]) ).
cnf(s33,plain,
( ~ spl1_5
| ~ spl1_24
| ~ spl1_26 ),
inference(sat_conversion,[],[f421]) ).
cnf(s34,plain,
( spl1_1
| ~ spl1_4 ),
inference(rat,[],[s26,s29,s25,s33,s22,s31,s5,s23,s27,s3]) ).
cnf(s35,plain,
spl1_1,
inference(rat,[],[s34,s4]) ).
cnf(s36,plain,
~ spl1_2,
inference(rat,[],[s2,s35]) ).
cnf(s37,plain,
spl1_7,
inference(rat,[],[s9,s36]) ).
cnf(s38,plain,
spl1_6,
inference(rat,[],[s6,s37,s36]) ).
cnf(s39,plain,
spl1_10,
inference(rat,[],[s13,s38]) ).
cnf(s40,plain,
spl1_9,
inference(rat,[],[s11,s37,s38]) ).
cnf(s42,plain,
~ spl1_11,
inference(rat,[],[s12,s36,s39]) ).
cnf(s43,plain,
~ spl1_17,
inference(rat,[],[s20,s40]) ).
cnf(s44,plain,
spl1_14,
inference(rat,[],[s17,s40]) ).
cnf(s45,plain,
spl1_13,
inference(rat,[],[s15,s37,s42]) ).
cnf(s46,plain,
spl1_15,
inference(rat,[],[s19,s37,s43]) ).
cnf(s47,plain,
$false,
inference(rat,[],[s16,s46,s44,s45]) ).
fof(f422,plain,
$false,
inference(avatar_sat_refutation,[],[s47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET181-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n002.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 01:04:07 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.66/1.29 % (4063756)Input is clausal, will run a generic CNF schedule.
% 2.66/1.29 % (4063765)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1367480054:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.66/1.29 % (4063765)Instruction limit reached!
% 2.66/1.29 % (4063765)------------------------------
% 2.66/1.29 % (4063765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.29 % (4063765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.29 % (4063765)CaDiCaL version: 2.1.3
% 2.66/1.29 % (4063765)Termination reason: Instruction limit
% 2.66/1.29 % (4063765)Termination phase: Saturation
% 2.66/1.29 % (4063765)Time elapsed: 0.038 s
% 2.66/1.29 % (4063765)Peak memory usage: 89 MB
% 2.66/1.29 % (4063765)Instructions burned: 116 (million)
% 2.66/1.29 % (4063767)dis-21_1_sil=8000:lcm=predicate:random_seed=1788483605: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)
% 2.66/1.29 % (4063761)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=2881803330:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.66/1.29 % (4063764)lrs+10_1_sil=8000:sp=occurrence:random_seed=4282744014:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.66/1.29 % (4063762)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=586488400:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.66/1.29 % (4063763)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4009120107:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.66/1.29 % (4063766)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3162980279:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.66/1.29 % (4063764)Refutation not found, incomplete strategy
% 2.66/1.29 % (4063764)------------------------------
% 2.66/1.29 % (4063764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.29 % (4063764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.29 % (4063764)CaDiCaL version: 2.1.3
% 2.66/1.29 % (4063764)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.29 % (4063764)Time elapsed: 0.002 s
% 2.66/1.29 % (4063764)Peak memory usage: 88 MB
% 2.66/1.29 % (4063764)Instructions burned: 1 (million)
% 2.66/1.29 % (4063767)First to succeed.
% 2.66/1.29 % (4063767)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4063756"
% 2.66/1.29 % (4063766)Instruction limit reached!
% 2.66/1.29 % (4063766)------------------------------
% 2.66/1.29 % (4063766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.29 % (4063766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.29 % (4063766)CaDiCaL version: 2.1.3
% 2.66/1.29 % (4063766)Termination reason: Instruction limit
% 2.66/1.29 % (4063766)Termination phase: Saturation
% 2.66/1.29 % (4063766)Time elapsed: 0.136 s
% 2.66/1.29 % (4063766)Peak memory usage: 90 MB
% 2.66/1.29 % (4063766)Instructions burned: 180 (million)
% 2.66/1.29 % (4063775)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=3568646510:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.66/1.29 % (4063775)Refutation not found, incomplete strategy
% 2.66/1.29 % (4063775)------------------------------
% 2.66/1.29 % (4063775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.29 % (4063775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.29 % (4063775)CaDiCaL version: 2.1.3
% 2.66/1.29 % (4063775)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.29 % (4063775)Time elapsed: 0.001 s
% 2.66/1.29 % (4063775)Peak memory usage: 88 MB
% 2.66/1.29 % (4063775)Instructions burned: 3 (million)
% 2.66/1.29 % (4063764)------------------------------
% 2.66/1.29 % (4063764)------------------------------
% 2.66/1.29 % (4063767)Refutation found. Thanks to Tanya!
% 2.66/1.29 % SZS status Unsatisfiable for theBenchmark
% 2.66/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.67/1.49 % (4063767)------------------------------
% 3.67/1.49 % (4063767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.49 % (4063767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.49 % (4063767)CaDiCaL version: 2.1.3
% 3.67/1.49 % (4063767)Termination reason: Refutation
% 3.67/1.49 % (4063767)Time elapsed: 0.011 s
% 3.67/1.49 % (4063767)Peak memory usage: 89 MB
% 3.67/1.49 % (4063767)Instructions burned: 17 (million)
% 3.67/1.49 % (4063767)------------------------------
% 3.67/1.49 % (4063767)------------------------------
% 3.67/1.49 % (4063756)Success in time 0.44 s
% 3.67/1.49 % Vampire exiting
%------------------------------------------------------------------------------