%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET178-6 : 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 : n007.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 2.89s 1.26s
% Output : Refutation 3.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 33
% Syntax : Number of formulae : 157 ( 18 unt; 21 def)
% Number of atoms : 347 ( 5 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 351 ( 161 ~; 169 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 25 ( 23 usr; 21 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(complement(x),z))) != union(x,union(y,z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_distribution_property1_1) ).
fof(f136,plain,
complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))) != complement(intersection(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(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(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(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))))
| ~ subclass(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))) ),
inference(resolution,[],[f182,f181]) ).
fof(f218,definition,
( spl1_1
<=> subclass(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f219,plain,
( ~ subclass(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))))
| spl1_1 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f221,definition,
( spl1_2
<=> subclass(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(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(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(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(f226,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))))
| spl1_1 ),
inference(resolution,[],[f219,f2]) ).
fof(f231,definition,
( spl1_3
<=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f232,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f234,definition,
( spl1_4
<=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),universal_class) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f235,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),universal_class)
| spl1_4 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f237,plain,
( ! [X0] : ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(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(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))
| ~ spl1_3 ),
inference(resolution,[],[f232,f22]) ).
fof(f247,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),complement(x))
| ~ spl1_3 ),
inference(resolution,[],[f232,f21]) ).
fof(f249,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),complement(intersection(complement(y),complement(intersection(complement(x),z)))))
| ~ spl1_3 ),
inference(resolution,[],[f246,f24]) ).
fof(f254,definition,
( spl1_5
<=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),intersection(complement(y),complement(intersection(complement(x),z)))) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f255,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),intersection(complement(y),complement(intersection(complement(x),z))))
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f257,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))))
| spl1_2 ),
inference(resolution,[],[f222,f3]) ).
fof(f258,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))))
| spl1_2 ),
inference(resolution,[],[f222,f2]) ).
fof(f260,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))
| spl1_2 ),
inference(resolution,[],[f257,f25]) ).
fof(f262,definition,
( spl1_6
<=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f263,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f265,definition,
( spl1_7
<=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),universal_class) ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
fof(f266,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),universal_class)
| spl1_7 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f267,plain,
( spl1_6
| ~ spl1_7
| spl1_2 ),
inference(avatar_split_clause,[],[f260,f221,f265,f262]) ).
fof(f268,plain,
( ! [X0] : ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),X0)
| spl1_7 ),
inference(resolution,[],[f266,f207]) ).
fof(f269,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))
| spl1_2 ),
inference(resolution,[],[f258,f24]) ).
fof(f282,plain,
( $false
| spl1_2
| spl1_7 ),
inference(resolution,[],[f268,f258]) ).
fof(f289,plain,
( spl1_2
| spl1_7 ),
inference(avatar_contradiction_clause,[],[f282]) ).
fof(f290,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),complement(complement(intersection(complement(y),complement(z)))))
| ~ spl1_6 ),
inference(resolution,[],[f263,f22]) ).
fof(f291,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),complement(x))
| ~ spl1_6 ),
inference(resolution,[],[f263,f21]) ).
fof(f293,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),complement(intersection(complement(y),complement(z))))
| ~ spl1_6 ),
inference(resolution,[],[f290,f24]) ).
fof(f294,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),intersection(complement(y),complement(z)))
| ~ spl1_6 ),
inference(resolution,[],[f293,f25]) ).
fof(f296,definition,
( spl1_8
<=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),intersection(complement(y),complement(z))) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
fof(f297,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),intersection(complement(y),complement(z)))
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f298,plain,
( spl1_8
| ~ spl1_7
| ~ spl1_6 ),
inference(avatar_split_clause,[],[f294,f262,f265,f296]) ).
fof(f299,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),complement(z))
| ~ spl1_8 ),
inference(resolution,[],[f297,f22]) ).
fof(f300,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),complement(y))
| ~ spl1_8 ),
inference(resolution,[],[f297,f21]) ).
fof(f301,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),z)
| ~ spl1_8 ),
inference(resolution,[],[f299,f24]) ).
fof(f306,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),complement(x))
| spl1_2 ),
inference(resolution,[],[f23,f269]) ).
fof(f308,definition,
( spl1_9
<=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),complement(x)) ),
introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).
fof(f309,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),complement(x))
| spl1_9 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f311,definition,
( spl1_10
<=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f312,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))
| spl1_10 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f313,plain,
( ~ spl1_9
| ~ spl1_10
| spl1_2 ),
inference(avatar_split_clause,[],[f306,f221,f311,f308]) ).
fof(f314,plain,
( $false
| ~ spl1_6
| spl1_9 ),
inference(resolution,[],[f309,f291]) ).
fof(f316,plain,
( ~ spl1_6
| spl1_9 ),
inference(avatar_contradiction_clause,[],[f314]) ).
fof(f321,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),complement(intersection(complement(y),complement(intersection(complement(x),z)))))
| spl1_10 ),
inference(resolution,[],[f312,f25]) ).
fof(f323,definition,
( spl1_12
<=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),complement(intersection(complement(y),complement(intersection(complement(x),z))))) ),
introduced(definition,[new_symbols(definition,[spl1_12])],[avatar_definition]) ).
fof(f324,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),complement(intersection(complement(y),complement(intersection(complement(x),z)))))
| ~ spl1_12 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f325,plain,
( spl1_12
| ~ spl1_7
| spl1_10 ),
inference(avatar_split_clause,[],[f321,f311,f265,f323]) ).
fof(f326,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),intersection(complement(y),complement(intersection(complement(x),z))))
| ~ spl1_12 ),
inference(resolution,[],[f324,f24]) ).
fof(f327,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),complement(intersection(complement(x),z)))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),complement(y))
| ~ spl1_12 ),
inference(resolution,[],[f326,f23]) ).
fof(f329,definition,
( spl1_13
<=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),complement(y)) ),
introduced(definition,[new_symbols(definition,[spl1_13])],[avatar_definition]) ).
fof(f330,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),complement(y))
| spl1_13 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f332,definition,
( spl1_14
<=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),complement(intersection(complement(x),z))) ),
introduced(definition,[new_symbols(definition,[spl1_14])],[avatar_definition]) ).
fof(f333,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),complement(intersection(complement(x),z)))
| spl1_14 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f334,plain,
( ~ spl1_13
| ~ spl1_14
| ~ spl1_12 ),
inference(avatar_split_clause,[],[f327,f323,f332,f329]) ).
fof(f335,plain,
( $false
| ~ spl1_8
| spl1_13 ),
inference(resolution,[],[f330,f300]) ).
fof(f337,plain,
( ~ spl1_8
| spl1_13 ),
inference(avatar_contradiction_clause,[],[f335]) ).
fof(f342,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),intersection(complement(x),z))
| spl1_14 ),
inference(resolution,[],[f333,f25]) ).
fof(f344,definition,
( spl1_16
<=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),intersection(complement(x),z)) ),
introduced(definition,[new_symbols(definition,[spl1_16])],[avatar_definition]) ).
fof(f345,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),intersection(complement(x),z))
| ~ spl1_16 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f346,plain,
( spl1_16
| ~ spl1_7
| spl1_14 ),
inference(avatar_split_clause,[],[f342,f332,f265,f344]) ).
fof(f347,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))),z)
| ~ spl1_16 ),
inference(resolution,[],[f345,f22]) ).
fof(f349,plain,
( $false
| ~ spl1_8
| ~ spl1_16 ),
inference(resolution,[],[f347,f301]) ).
fof(f350,plain,
( ~ spl1_8
| ~ spl1_16 ),
inference(avatar_contradiction_clause,[],[f349]) ).
fof(f351,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z))))))))
| spl1_1 ),
inference(resolution,[],[f219,f3]) ).
fof(f352,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))))
| spl1_1 ),
inference(resolution,[],[f219,f2]) ).
fof(f353,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),intersection(complement(x),complement(complement(intersection(complement(y),complement(z))))))
| spl1_1 ),
inference(resolution,[],[f352,f24]) ).
fof(f354,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))
| spl1_1 ),
inference(resolution,[],[f351,f25]) ).
fof(f355,plain,
( spl1_3
| ~ spl1_4
| spl1_1 ),
inference(avatar_split_clause,[],[f354,f218,f234,f231]) ).
fof(f357,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),complement(complement(intersection(complement(y),complement(z)))))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),complement(x))
| spl1_1 ),
inference(resolution,[],[f353,f23]) ).
fof(f359,definition,
( spl1_17
<=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),complement(x)) ),
introduced(definition,[new_symbols(definition,[spl1_17])],[avatar_definition]) ).
fof(f360,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),complement(x))
| spl1_17 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f362,definition,
( spl1_18
<=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),complement(complement(intersection(complement(y),complement(z))))) ),
introduced(definition,[new_symbols(definition,[spl1_18])],[avatar_definition]) ).
fof(f363,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),complement(complement(intersection(complement(y),complement(z)))))
| spl1_18 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f364,plain,
( ~ spl1_17
| ~ spl1_18
| spl1_1 ),
inference(avatar_split_clause,[],[f357,f218,f362,f359]) ).
fof(f365,plain,
( $false
| ~ spl1_3
| spl1_17 ),
inference(resolution,[],[f360,f247]) ).
fof(f367,plain,
( ~ spl1_3
| spl1_17 ),
inference(avatar_contradiction_clause,[],[f365]) ).
fof(f374,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),complement(intersection(complement(y),complement(z))))
| spl1_18 ),
inference(resolution,[],[f363,f25]) ).
fof(f376,definition,
( spl1_20
<=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),complement(intersection(complement(y),complement(z)))) ),
introduced(definition,[new_symbols(definition,[spl1_20])],[avatar_definition]) ).
fof(f377,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),complement(intersection(complement(y),complement(z))))
| ~ spl1_20 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f378,plain,
( spl1_20
| ~ spl1_4
| spl1_18 ),
inference(avatar_split_clause,[],[f374,f362,f234,f376]) ).
fof(f380,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),intersection(complement(y),complement(z)))
| ~ spl1_20 ),
inference(resolution,[],[f377,f24]) ).
fof(f381,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),complement(z))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),complement(y))
| ~ spl1_20 ),
inference(resolution,[],[f380,f23]) ).
fof(f383,definition,
( spl1_21
<=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),complement(y)) ),
introduced(definition,[new_symbols(definition,[spl1_21])],[avatar_definition]) ).
fof(f384,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),complement(y))
| spl1_21 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f386,definition,
( spl1_22
<=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),complement(z)) ),
introduced(definition,[new_symbols(definition,[spl1_22])],[avatar_definition]) ).
fof(f387,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),complement(z))
| spl1_22 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f388,plain,
( ~ spl1_21
| ~ spl1_22
| ~ spl1_20 ),
inference(avatar_split_clause,[],[f381,f376,f386,f383]) ).
fof(f389,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),intersection(complement(y),complement(intersection(complement(x),z))))
| ~ spl1_3 ),
inference(resolution,[],[f249,f25]) ).
fof(f390,plain,
( spl1_5
| ~ spl1_4
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f389,f231,f234,f254]) ).
fof(f396,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),complement(intersection(complement(x),z)))
| ~ spl1_5 ),
inference(resolution,[],[f255,f22]) ).
fof(f397,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),complement(y))
| ~ spl1_5 ),
inference(resolution,[],[f255,f21]) ).
fof(f398,plain,
( $false
| ~ spl1_5
| spl1_21 ),
inference(resolution,[],[f397,f384]) ).
fof(f400,plain,
( ~ spl1_5
| spl1_21 ),
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f401,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),z)
| spl1_22 ),
inference(resolution,[],[f387,f25]) ).
fof(f403,definition,
( spl1_24
<=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),z) ),
introduced(definition,[new_symbols(definition,[spl1_24])],[avatar_definition]) ).
fof(f405,plain,
( spl1_24
| ~ spl1_4
| spl1_22 ),
inference(avatar_split_clause,[],[f401,f386,f234,f403]) ).
fof(f408,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),intersection(complement(x),z))
| ~ spl1_5 ),
inference(resolution,[],[f396,f24]) ).
fof(f409,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),z)
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(x),complement(complement(intersection(complement(y),complement(intersection(complement(x),z)))))))),complement(x))
| ~ spl1_5 ),
inference(resolution,[],[f408,f23]) ).
fof(f411,plain,
( ~ spl1_17
| ~ spl1_24
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f409,f254,f403,f359]) ).
cnf(s2,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f224]) ).
cnf(s4,plain,
( spl1_1
| spl1_4 ),
inference(sat_conversion,[],[f245]) ).
cnf(s6,plain,
( spl1_2
| spl1_6
| ~ spl1_7 ),
inference(sat_conversion,[],[f267]) ).
cnf(s10,plain,
( spl1_2
| spl1_7 ),
inference(sat_conversion,[],[f289]) ).
cnf(s11,plain,
( ~ spl1_6
| ~ spl1_7
| spl1_8 ),
inference(sat_conversion,[],[f298]) ).
cnf(s12,plain,
( spl1_2
| ~ spl1_9
| ~ spl1_10 ),
inference(sat_conversion,[],[f313]) ).
cnf(s13,plain,
( ~ spl1_6
| spl1_9 ),
inference(sat_conversion,[],[f316]) ).
cnf(s15,plain,
( ~ spl1_7
| spl1_10
| spl1_12 ),
inference(sat_conversion,[],[f325]) ).
cnf(s16,plain,
( ~ spl1_12
| ~ spl1_13
| ~ spl1_14 ),
inference(sat_conversion,[],[f334]) ).
cnf(s17,plain,
( ~ spl1_8
| spl1_13 ),
inference(sat_conversion,[],[f337]) ).
cnf(s19,plain,
( ~ spl1_7
| spl1_14
| spl1_16 ),
inference(sat_conversion,[],[f346]) ).
cnf(s20,plain,
( ~ spl1_8
| ~ spl1_16 ),
inference(sat_conversion,[],[f350]) ).
cnf(s21,plain,
( spl1_1
| spl1_3
| ~ spl1_4 ),
inference(sat_conversion,[],[f355]) ).
cnf(s22,plain,
( spl1_1
| ~ spl1_17
| ~ spl1_18 ),
inference(sat_conversion,[],[f364]) ).
cnf(s23,plain,
( ~ spl1_3
| spl1_17 ),
inference(sat_conversion,[],[f367]) ).
cnf(s25,plain,
( ~ spl1_4
| spl1_18
| spl1_20 ),
inference(sat_conversion,[],[f378]) ).
cnf(s26,plain,
( ~ spl1_20
| ~ spl1_21
| ~ spl1_22 ),
inference(sat_conversion,[],[f388]) ).
cnf(s27,plain,
( ~ spl1_3
| ~ spl1_4
| spl1_5 ),
inference(sat_conversion,[],[f390]) ).
cnf(s29,plain,
( ~ spl1_5
| spl1_21 ),
inference(sat_conversion,[],[f400]) ).
cnf(s30,plain,
( ~ spl1_4
| spl1_22
| spl1_24 ),
inference(sat_conversion,[],[f405]) ).
cnf(s32,plain,
( ~ spl1_5
| ~ spl1_17
| ~ spl1_24 ),
inference(sat_conversion,[],[f411]) ).
cnf(s33,plain,
( ~ spl1_4
| spl1_1 ),
inference(rat,[],[s26,s25,s30,s22,s32,s29,s23,s27,s21]) ).
cnf(s34,plain,
spl1_1,
inference(rat,[],[s33,s4]) ).
cnf(s35,plain,
~ spl1_2,
inference(rat,[],[s2,s34]) ).
cnf(s36,plain,
spl1_7,
inference(rat,[],[s10,s35]) ).
cnf(s37,plain,
spl1_6,
inference(rat,[],[s6,s36,s35]) ).
cnf(s38,plain,
spl1_9,
inference(rat,[],[s13,s37]) ).
cnf(s39,plain,
spl1_8,
inference(rat,[],[s11,s36,s37]) ).
cnf(s40,plain,
~ spl1_10,
inference(rat,[],[s12,s35,s38]) ).
cnf(s41,plain,
~ spl1_16,
inference(rat,[],[s20,s39]) ).
cnf(s42,plain,
spl1_13,
inference(rat,[],[s17,s39]) ).
cnf(s43,plain,
spl1_12,
inference(rat,[],[s15,s36,s40]) ).
cnf(s44,plain,
spl1_14,
inference(rat,[],[s19,s36,s41]) ).
cnf(s45,plain,
$false,
inference(rat,[],[s16,s44,s42,s43]) ).
fof(f412,plain,
$false,
inference(avatar_sat_refutation,[],[s45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET178-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n007.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 00:59:55 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 2.89/1.26 % (1933482)Input is clausal, will run a generic CNF schedule.
% 2.89/1.26 % (1933491)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1834062886:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.89/1.26 % (1933491)Instruction limit reached!
% 2.89/1.26 % (1933491)------------------------------
% 2.89/1.26 % (1933491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/1.26 % (1933491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/1.26 % (1933491)CaDiCaL version: 2.1.3
% 2.89/1.26 % (1933491)Termination reason: Instruction limit
% 2.89/1.26 % (1933491)Termination phase: Saturation
% 2.89/1.26 % (1933491)Time elapsed: 0.038 s
% 2.89/1.26 % (1933491)Peak memory usage: 89 MB
% 2.89/1.26 % (1933491)Instructions burned: 116 (million)
% 2.89/1.26 % (1933487)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=3791103577:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.89/1.26 % (1933492)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1638913898:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.89/1.26 % (1933493)dis-21_1_sil=8000:lcm=predicate:random_seed=110273673: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)
% 2.89/1.26 % (1933489)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3939238037:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.89/1.26 % (1933490)lrs+10_1_sil=8000:sp=occurrence:random_seed=827189697:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.89/1.26 % (1933488)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3478881895:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.89/1.26 % (1933490)Refutation not found, incomplete strategy
% 2.89/1.26 % (1933490)------------------------------
% 2.89/1.26 % (1933490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/1.26 % (1933490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/1.26 % (1933490)CaDiCaL version: 2.1.3
% 2.89/1.26 % (1933490)Termination reason: Refutation not found, incomplete strategy
% 2.89/1.26 % (1933490)Time elapsed: 0.002 s
% 2.89/1.26 % (1933490)Peak memory usage: 88 MB
% 2.89/1.26 % (1933490)Instructions burned: 1 (million)
% 2.89/1.26 % (1933493)First to succeed.
% 2.89/1.26 % (1933493)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1933482"
% 2.89/1.26 % (1933501)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=1342179338:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.89/1.26 % (1933501)Refutation not found, incomplete strategy
% 2.89/1.26 % (1933501)------------------------------
% 2.89/1.26 % (1933501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/1.26 % (1933501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/1.26 % (1933501)CaDiCaL version: 2.1.3
% 2.89/1.26 % (1933501)Termination reason: Refutation not found, incomplete strategy
% 2.89/1.26 % (1933501)Time elapsed: 0.001 s
% 2.89/1.26 % (1933501)Peak memory usage: 88 MB
% 2.89/1.26 % (1933501)Instructions burned: 3 (million)
% 2.89/1.26 % (1933492)Instruction limit reached!
% 2.89/1.26 % (1933492)------------------------------
% 2.89/1.26 % (1933492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/1.26 % (1933492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/1.26 % (1933492)CaDiCaL version: 2.1.3
% 2.89/1.26 % (1933492)Termination reason: Instruction limit
% 2.89/1.26 % (1933492)Termination phase: Saturation
% 2.89/1.26 % (1933492)Time elapsed: 0.140 s
% 2.89/1.26 % (1933492)Peak memory usage: 90 MB
% 2.89/1.26 % (1933492)Instructions burned: 181 (million)
% 2.89/1.26 % (1933501)------------------------------
% 2.89/1.26 % (1933501)------------------------------
% 2.89/1.26 % (1933490)------------------------------
% 2.89/1.26 % (1933490)------------------------------
% 2.89/1.26 % (1933493)Refutation found. Thanks to Tanya!
% 2.89/1.26 % SZS status Unsatisfiable for theBenchmark
% 2.89/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.54/1.45 % (1933493)------------------------------
% 3.54/1.45 % (1933493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.45 % (1933493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.45 % (1933493)CaDiCaL version: 2.1.3
% 3.54/1.45 % (1933493)Termination reason: Refutation
% 3.54/1.45 % (1933493)Time elapsed: 0.011 s
% 3.54/1.45 % (1933493)Peak memory usage: 89 MB
% 3.54/1.45 % (1933493)Instructions burned: 16 (million)
% 3.54/1.45 % (1933493)------------------------------
% 3.54/1.45 % (1933493)------------------------------
% 3.54/1.45 % (1933482)Success in time 0.416 s
% 3.54/1.46 % Vampire exiting
%------------------------------------------------------------------------------