%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET249-6 : 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 : n010.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 12:40:36 PM UTC 2026
% Result : Unsatisfiable 2.63s 1.28s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 31
% Syntax : Number of formulae : 144 ( 18 unt; 18 def)
% Number of atoms : 315 ( 6 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 308 ( 137 ~; 153 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 22 ( 20 usr; 18 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 36 ( 0 sgn 36 !; 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(f29,axiom,
! [X2,X0,X1] : intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction2) ).
fof(f122,negated_conjecture,
union(restrict(xr1,x,y),restrict(xr2,x,y)) != restrict(union(xr1,xr2),x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_restriction_property2_1) ).
fof(f136,plain,
complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))) != intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),
inference(definition_unfolding,[],[f122,f26,f29,f29,f29,f26]) ).
fof(f178,definition,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ0_eqProxy])],[equality_proxy_definition]) ).
fof(f179,plain,
~ sQ0_eqProxy(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),
inference(equality_proxy_replacement,[],[f136,f178]) ).
fof(f180,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(equality_proxy_replacement,[],[f7,f178]) ).
fof(f207,plain,
! [X0,X1] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(resolution,[],[f1,f4]) ).
fof(f215,plain,
( ~ subclass(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))))
| ~ subclass(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))) ),
inference(resolution,[],[f180,f179]) ).
fof(f218,definition,
( spl1_1
<=> subclass(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f219,plain,
( ~ subclass(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))))
| spl1_1 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f221,definition,
( spl1_2
<=> subclass(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f222,plain,
( ~ subclass(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))))
| 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(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))))
| spl1_1 ),
inference(resolution,[],[f219,f3]) ).
fof(f226,plain,
( member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))))
| spl1_1 ),
inference(resolution,[],[f219,f2]) ).
fof(f231,plain,
( ~ member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),universal_class)
| member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))
| spl1_1 ),
inference(resolution,[],[f25,f225]) ).
fof(f233,definition,
( spl1_3
<=> member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f234,plain,
( member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f236,definition,
( spl1_4
<=> member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),universal_class) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f237,plain,
( ~ member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),universal_class)
| spl1_4 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f238,plain,
( spl1_3
| ~ spl1_4
| spl1_1 ),
inference(avatar_split_clause,[],[f231,f218,f236,f233]) ).
fof(f239,plain,
( ! [X0] : ~ member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),X0)
| spl1_4 ),
inference(resolution,[],[f237,f207]) ).
fof(f242,plain,
( $false
| spl1_1
| spl1_4 ),
inference(resolution,[],[f239,f226]) ).
fof(f254,plain,
( spl1_1
| spl1_4 ),
inference(avatar_contradiction_clause,[],[f242]) ).
fof(f255,plain,
( member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),complement(intersection(cross_product(x,y),xr2)))
| ~ spl1_3 ),
inference(resolution,[],[f234,f22]) ).
fof(f256,plain,
( member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),complement(intersection(cross_product(x,y),xr1)))
| ~ spl1_3 ),
inference(resolution,[],[f234,f21]) ).
fof(f257,plain,
( ~ member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),intersection(cross_product(x,y),xr2))
| ~ spl1_3 ),
inference(resolution,[],[f255,f24]) ).
fof(f258,plain,
( ~ member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),intersection(cross_product(x,y),xr1))
| ~ spl1_3 ),
inference(resolution,[],[f256,f24]) ).
fof(f262,plain,
( ~ member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),xr2)
| ~ member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),cross_product(x,y))
| ~ spl1_3 ),
inference(resolution,[],[f23,f257]) ).
fof(f263,plain,
( ~ member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),xr1)
| ~ member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),cross_product(x,y))
| ~ spl1_3 ),
inference(resolution,[],[f23,f258]) ).
fof(f265,definition,
( spl1_5
<=> member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),cross_product(x,y)) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f266,plain,
( ~ member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),cross_product(x,y))
| spl1_5 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f268,definition,
( spl1_6
<=> member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),xr1) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f270,plain,
( ~ spl1_5
| ~ spl1_6
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f263,f233,f268,f265]) ).
fof(f272,definition,
( spl1_7
<=> member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),xr2) ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
fof(f274,plain,
( ~ spl1_5
| ~ spl1_7
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f262,f233,f272,f265]) ).
fof(f276,definition,
( spl1_8
<=> member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),complement(xr1)) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
fof(f277,plain,
( ~ member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),complement(xr1))
| spl1_8 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f279,definition,
( spl1_9
<=> member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),complement(xr2)) ),
introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).
fof(f280,plain,
( ~ member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),complement(xr2))
| spl1_9 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f282,plain,
( ~ member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),universal_class)
| member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),xr2)
| spl1_9 ),
inference(resolution,[],[f280,f25]) ).
fof(f284,plain,
( spl1_7
| ~ spl1_4
| spl1_9 ),
inference(avatar_split_clause,[],[f282,f279,f236,f272]) ).
fof(f286,plain,
( member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))))
| spl1_2 ),
inference(resolution,[],[f222,f2]) ).
fof(f289,definition,
( spl1_10
<=> member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),cross_product(x,y)) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f290,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),cross_product(x,y))
| spl1_10 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f292,definition,
( spl1_11
<=> member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),complement(intersection(complement(xr1),complement(xr2)))) ),
introduced(definition,[new_symbols(definition,[spl1_11])],[avatar_definition]) ).
fof(f293,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),complement(intersection(complement(xr1),complement(xr2))))
| spl1_11 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f314,definition,
( spl1_12
<=> member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),complement(intersection(cross_product(x,y),xr1))) ),
introduced(definition,[new_symbols(definition,[spl1_12])],[avatar_definition]) ).
fof(f315,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),complement(intersection(cross_product(x,y),xr1)))
| spl1_12 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f317,definition,
( spl1_13
<=> member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),complement(intersection(cross_product(x,y),xr2))) ),
introduced(definition,[new_symbols(definition,[spl1_13])],[avatar_definition]) ).
fof(f318,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),complement(intersection(cross_product(x,y),xr2)))
| spl1_13 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f322,definition,
( spl1_14
<=> member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),intersection(cross_product(x,y),xr1)) ),
introduced(definition,[new_symbols(definition,[spl1_14])],[avatar_definition]) ).
fof(f323,plain,
( member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),intersection(cross_product(x,y),xr1))
| ~ spl1_14 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f325,definition,
( spl1_15
<=> member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),universal_class) ),
introduced(definition,[new_symbols(definition,[spl1_15])],[avatar_definition]) ).
fof(f326,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),universal_class)
| spl1_15 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f328,plain,
( ! [X0] : ~ member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),X0)
| spl1_15 ),
inference(resolution,[],[f326,f207]) ).
fof(f329,plain,
( $false
| spl1_2
| spl1_15 ),
inference(resolution,[],[f328,f286]) ).
fof(f338,plain,
( spl1_2
| spl1_15 ),
inference(avatar_contradiction_clause,[],[f329]) ).
fof(f340,plain,
( member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))))
| spl1_1 ),
inference(resolution,[],[f219,f2]) ).
fof(f342,plain,
( member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),cross_product(x,y))
| spl1_1 ),
inference(resolution,[],[f340,f21]) ).
fof(f343,plain,
( $false
| spl1_1
| spl1_5 ),
inference(resolution,[],[f342,f266]) ).
fof(f344,plain,
( spl1_1
| spl1_5 ),
inference(avatar_contradiction_clause,[],[f343]) ).
fof(f345,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))))
| spl1_2 ),
inference(resolution,[],[f222,f3]) ).
fof(f346,plain,
( member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))))
| spl1_2 ),
inference(resolution,[],[f222,f2]) ).
fof(f347,plain,
( member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),xr1)
| ~ spl1_14 ),
inference(resolution,[],[f323,f22]) ).
fof(f348,plain,
( member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),cross_product(x,y))
| ~ spl1_14 ),
inference(resolution,[],[f323,f21]) ).
fof(f349,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),complement(intersection(complement(xr1),complement(xr2))))
| ~ member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),cross_product(x,y))
| spl1_2 ),
inference(resolution,[],[f345,f23]) ).
fof(f350,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))
| spl1_2 ),
inference(resolution,[],[f346,f24]) ).
fof(f351,plain,
( $false
| spl1_10
| ~ spl1_14 ),
inference(resolution,[],[f348,f290]) ).
fof(f352,plain,
( spl1_10
| ~ spl1_14 ),
inference(avatar_contradiction_clause,[],[f351]) ).
fof(f353,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),complement(intersection(cross_product(x,y),xr2)))
| ~ member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),complement(intersection(cross_product(x,y),xr1)))
| spl1_2 ),
inference(resolution,[],[f350,f23]) ).
fof(f354,plain,
( ~ spl1_12
| ~ spl1_13
| spl1_2 ),
inference(avatar_split_clause,[],[f353,f221,f317,f314]) ).
fof(f355,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),intersection(cross_product(x,y),xr2))
| spl1_13 ),
inference(resolution,[],[f318,f25]) ).
fof(f357,definition,
( spl1_16
<=> member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),intersection(cross_product(x,y),xr2)) ),
introduced(definition,[new_symbols(definition,[spl1_16])],[avatar_definition]) ).
fof(f358,plain,
( member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),intersection(cross_product(x,y),xr2))
| ~ spl1_16 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f359,plain,
( spl1_16
| ~ spl1_15
| spl1_13 ),
inference(avatar_split_clause,[],[f355,f317,f325,f357]) ).
fof(f360,plain,
( member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),xr2)
| ~ spl1_16 ),
inference(resolution,[],[f358,f22]) ).
fof(f361,plain,
( member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),cross_product(x,y))
| ~ spl1_16 ),
inference(resolution,[],[f358,f21]) ).
fof(f362,plain,
( $false
| spl1_10
| ~ spl1_16 ),
inference(resolution,[],[f361,f290]) ).
fof(f363,plain,
( spl1_10
| ~ spl1_16 ),
inference(avatar_contradiction_clause,[],[f362]) ).
fof(f364,plain,
( ~ spl1_10
| ~ spl1_11
| spl1_2 ),
inference(avatar_split_clause,[],[f349,f221,f292,f289]) ).
fof(f365,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),intersection(complement(xr1),complement(xr2)))
| spl1_11 ),
inference(resolution,[],[f293,f25]) ).
fof(f367,definition,
( spl1_17
<=> member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),intersection(complement(xr1),complement(xr2))) ),
introduced(definition,[new_symbols(definition,[spl1_17])],[avatar_definition]) ).
fof(f368,plain,
( member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),intersection(complement(xr1),complement(xr2)))
| ~ spl1_17 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f369,plain,
( spl1_17
| ~ spl1_15
| spl1_11 ),
inference(avatar_split_clause,[],[f365,f292,f325,f367]) ).
fof(f370,plain,
( member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),complement(xr2))
| ~ spl1_17 ),
inference(resolution,[],[f368,f22]) ).
fof(f371,plain,
( member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),complement(xr1))
| ~ spl1_17 ),
inference(resolution,[],[f368,f21]) ).
fof(f372,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),xr2)
| ~ spl1_17 ),
inference(resolution,[],[f370,f24]) ).
fof(f373,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),xr1)
| ~ spl1_17 ),
inference(resolution,[],[f371,f24]) ).
fof(f374,plain,
( $false
| ~ spl1_16
| ~ spl1_17 ),
inference(resolution,[],[f372,f360]) ).
fof(f375,plain,
( ~ spl1_16
| ~ spl1_17 ),
inference(avatar_contradiction_clause,[],[f374]) ).
fof(f376,plain,
( ~ member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2)))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2))))),intersection(cross_product(x,y),xr1))
| spl1_12 ),
inference(resolution,[],[f315,f25]) ).
fof(f377,plain,
( spl1_14
| ~ spl1_15
| spl1_12 ),
inference(avatar_split_clause,[],[f376,f314,f325,f322]) ).
fof(f380,plain,
( $false
| ~ spl1_14
| ~ spl1_17 ),
inference(resolution,[],[f373,f347]) ).
fof(f381,plain,
( ~ spl1_14
| ~ spl1_17 ),
inference(avatar_contradiction_clause,[],[f380]) ).
fof(f383,plain,
( member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))))
| spl1_1 ),
inference(resolution,[],[f219,f2]) ).
fof(f385,plain,
( member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),complement(intersection(complement(xr1),complement(xr2))))
| spl1_1 ),
inference(resolution,[],[f383,f22]) ).
fof(f397,plain,
( ~ member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),intersection(complement(xr1),complement(xr2)))
| spl1_1 ),
inference(resolution,[],[f385,f24]) ).
fof(f398,plain,
( ~ member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),complement(xr2))
| ~ member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),complement(xr1))
| spl1_1 ),
inference(resolution,[],[f397,f23]) ).
fof(f399,plain,
( ~ spl1_8
| ~ spl1_9
| spl1_1 ),
inference(avatar_split_clause,[],[f398,f218,f279,f276]) ).
fof(f400,plain,
( ~ member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),universal_class)
| member(not_subclass_element(intersection(cross_product(x,y),complement(intersection(complement(xr1),complement(xr2)))),complement(intersection(complement(intersection(cross_product(x,y),xr1)),complement(intersection(cross_product(x,y),xr2))))),xr1)
| spl1_8 ),
inference(resolution,[],[f277,f25]) ).
fof(f402,plain,
( spl1_6
| ~ spl1_4
| spl1_8 ),
inference(avatar_split_clause,[],[f400,f276,f236,f268]) ).
cnf(s2,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f224]) ).
cnf(s3,plain,
( spl1_1
| spl1_3
| ~ spl1_4 ),
inference(sat_conversion,[],[f238]) ).
cnf(s6,plain,
( spl1_1
| spl1_4 ),
inference(sat_conversion,[],[f254]) ).
cnf(s7,plain,
( ~ spl1_3
| ~ spl1_5
| ~ spl1_6 ),
inference(sat_conversion,[],[f270]) ).
cnf(s8,plain,
( ~ spl1_3
| ~ spl1_5
| ~ spl1_7 ),
inference(sat_conversion,[],[f274]) ).
cnf(s10,plain,
( ~ spl1_4
| spl1_7
| spl1_9 ),
inference(sat_conversion,[],[f284]) ).
cnf(s17,plain,
( spl1_2
| spl1_15 ),
inference(sat_conversion,[],[f338]) ).
cnf(s18,plain,
( spl1_1
| spl1_5 ),
inference(sat_conversion,[],[f344]) ).
cnf(s19,plain,
( spl1_10
| ~ spl1_14 ),
inference(sat_conversion,[],[f352]) ).
cnf(s20,plain,
( spl1_2
| ~ spl1_12
| ~ spl1_13 ),
inference(sat_conversion,[],[f354]) ).
cnf(s21,plain,
( spl1_13
| ~ spl1_15
| spl1_16 ),
inference(sat_conversion,[],[f359]) ).
cnf(s22,plain,
( spl1_10
| ~ spl1_16 ),
inference(sat_conversion,[],[f363]) ).
cnf(s23,plain,
( spl1_2
| ~ spl1_10
| ~ spl1_11 ),
inference(sat_conversion,[],[f364]) ).
cnf(s24,plain,
( spl1_11
| ~ spl1_15
| spl1_17 ),
inference(sat_conversion,[],[f369]) ).
cnf(s25,plain,
( ~ spl1_16
| ~ spl1_17 ),
inference(sat_conversion,[],[f375]) ).
cnf(s26,plain,
( spl1_12
| spl1_14
| ~ spl1_15 ),
inference(sat_conversion,[],[f377]) ).
cnf(s27,plain,
( ~ spl1_14
| ~ spl1_17 ),
inference(sat_conversion,[],[f381]) ).
cnf(s28,plain,
( spl1_1
| ~ spl1_8
| ~ spl1_9 ),
inference(sat_conversion,[],[f399]) ).
cnf(s29,plain,
( ~ spl1_4
| spl1_6
| spl1_8 ),
inference(sat_conversion,[],[f402]) ).
cnf(s30,plain,
spl1_1,
inference(rat,[],[s28,s29,s10,s7,s8,s3,s6,s18]) ).
cnf(s31,plain,
~ spl1_2,
inference(rat,[],[s2,s30]) ).
cnf(s32,plain,
spl1_15,
inference(rat,[],[s17,s31]) ).
cnf(s33,plain,
spl1_10,
inference(rat,[],[s20,s26,s21,s19,s22,s31,s32]) ).
cnf(s34,plain,
~ spl1_11,
inference(rat,[],[s23,s31,s33]) ).
cnf(s35,plain,
spl1_17,
inference(rat,[],[s24,s32,s34]) ).
cnf(s36,plain,
~ spl1_14,
inference(rat,[],[s27,s35]) ).
cnf(s37,plain,
~ spl1_16,
inference(rat,[],[s25,s35]) ).
cnf(s38,plain,
spl1_12,
inference(rat,[],[s26,s32,s36]) ).
cnf(s39,plain,
spl1_13,
inference(rat,[],[s21,s32,s37]) ).
cnf(s40,plain,
$false,
inference(rat,[],[s20,s31,s39,s38]) ).
fof(f403,plain,
$false,
inference(avatar_sat_refutation,[],[s40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET249-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n010.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 01:13:02 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 2.63/1.28 % (1480696)Input is clausal, will run a generic CNF schedule.
% 2.63/1.28 % (1480705)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=864008955:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.63/1.28 % (1480702)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=900257087:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.63/1.28 % (1480704)lrs+10_1_sil=8000:sp=occurrence:random_seed=59128320:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.63/1.28 % (1480701)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=3819065783:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.63/1.28 % (1480703)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=860745631:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.63/1.28 % (1480706)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3732986458:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.63/1.28 % (1480704)Refutation not found, incomplete strategy
% 2.63/1.28 % (1480704)------------------------------
% 2.63/1.28 % (1480704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.28 % (1480704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.28 % (1480704)CaDiCaL version: 2.1.3
% 2.63/1.28 % (1480704)Termination reason: Refutation not found, incomplete strategy
% 2.63/1.28 % (1480704)Time elapsed: 0.005 s
% 2.63/1.28 % (1480704)Peak memory usage: 88 MB
% 2.63/1.28 % (1480704)Instructions burned: 6 (million)
% 2.63/1.28 % (1480705)Instruction limit reached!
% 2.63/1.28 % (1480705)------------------------------
% 2.63/1.28 % (1480705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.28 % (1480707)dis-21_1_sil=8000:lcm=predicate:random_seed=515606580: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)
% 2.63/1.28 % (1480705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.28 % (1480705)CaDiCaL version: 2.1.3
% 2.63/1.28 % (1480705)Termination reason: Instruction limit
% 2.63/1.28 % (1480705)Termination phase: Saturation
% 2.63/1.28 % (1480705)Time elapsed: 0.038 s
% 2.63/1.28 % (1480705)Peak memory usage: 89 MB
% 2.63/1.28 % (1480705)Instructions burned: 114 (million)
% 2.63/1.28 % (1480707)First to succeed.
% 2.63/1.28 % (1480707)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1480696"
% 2.63/1.28 % (1480715)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=2170163227:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.63/1.28 % (1480715)Refutation not found, incomplete strategy
% 2.63/1.28 % (1480715)------------------------------
% 2.63/1.28 % (1480715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.28 % (1480715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.28 % (1480715)CaDiCaL version: 2.1.3
% 2.63/1.28 % (1480715)Termination reason: Refutation not found, incomplete strategy
% 2.63/1.28 % (1480715)Time elapsed: 0.001 s
% 2.63/1.28 % (1480715)Peak memory usage: 88 MB
% 2.63/1.28 % (1480715)Instructions burned: 2 (million)
% 2.63/1.28 % (1480706)Instruction limit reached!
% 2.63/1.28 % (1480706)------------------------------
% 2.63/1.28 % (1480706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.28 % (1480706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.28 % (1480706)CaDiCaL version: 2.1.3
% 2.63/1.28 % (1480706)Termination reason: Instruction limit
% 2.63/1.28 % (1480706)Termination phase: Saturation
% 2.63/1.28 % (1480706)Time elapsed: 0.138 s
% 2.63/1.28 % (1480706)Peak memory usage: 90 MB
% 2.63/1.28 % (1480706)Instructions burned: 180 (million)
% 2.63/1.28 % (1480704)------------------------------
% 2.63/1.28 % (1480704)------------------------------
% 2.63/1.28 % (1480715)------------------------------
% 2.63/1.28 % (1480715)------------------------------
% 2.63/1.28 % (1480707)Refutation found. Thanks to Tanya!
% 2.63/1.28 % SZS status Unsatisfiable for theBenchmark
% 2.63/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.49/1.37 % (1480707)------------------------------
% 3.49/1.37 % (1480707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.37 % (1480707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.37 % (1480707)CaDiCaL version: 2.1.3
% 3.49/1.37 % (1480707)Termination reason: Refutation
% 3.49/1.37 % (1480707)Time elapsed: 0.010 s
% 3.49/1.37 % (1480707)Peak memory usage: 89 MB
% 3.49/1.37 % (1480707)Instructions burned: 15 (million)
% 3.49/1.37 % (1480707)------------------------------
% 3.49/1.37 % (1480707)------------------------------
% 3.49/1.37 % (1480696)Success in time 0.424 s
% 3.49/1.37 % Vampire exiting
%------------------------------------------------------------------------------