%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET305-6 : 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 : n026.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 12:40:44 PM UTC 2026
% Result : Unsatisfiable 8.22s 2.92s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 24
% Syntax : Number of formulae : 123 ( 33 unt; 6 def)
% Number of atoms : 268 ( 113 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 255 ( 110 ~; 143 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 6 con; 0-3 aty)
% Number of variables : 144 ( 0 sgn 144 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product1) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction1) ).
fof(f30,axiom,
! [X0,X1] :
( restrict(X0,singleton(X1),universal_class) != null_class
| ~ member(X1,domain_of(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f36,axiom,
! [X0] : subclass(flip(X0),cross_product(cross_product(universal_class,universal_class),universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',flip1) ).
fof(f37,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(ordered_pair(X0,X1),X2),flip(X3))
| member(ordered_pair(ordered_pair(X1,X0),X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',flip2) ).
fof(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f40,axiom,
! [X0] : domain_of(inverse(X0)) = range_of(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',range_of) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f122,negated_conjecture,
range_of(null_class) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_range_of_null_class_1) ).
fof(f123,plain,
null_class != range_of(null_class),
inference(reorient_equations,[],[f122]) ).
fof(f125,plain,
! [X0] : range_of(X0) = domain_of(domain_of(flip(cross_product(X0,universal_class)))),
inference(definition_unfolding,[],[f40,f39]) ).
fof(f128,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f137,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X0,X2) ),
inference(definition_unfolding,[],[f14,f128]) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 ),
inference(definition_unfolding,[],[f17,f128]) ).
fof(f144,plain,
! [X0,X1] :
( null_class != intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
| ~ member(X1,domain_of(X0)) ),
inference(definition_unfolding,[],[f30,f28,f12]) ).
fof(f148,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),flip(X3))
| member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),X3) ),
inference(definition_unfolding,[],[f37,f128,f128,f128,f128]) ).
fof(f186,plain,
null_class != domain_of(domain_of(flip(cross_product(null_class,universal_class)))),
inference(definition_unfolding,[],[f123,f125]) ).
fof(f191,definition,
sF0 = cross_product(null_class,universal_class),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f192,plain,
cross_product(null_class,universal_class) = sF0,
inference(reorient_equations,[],[f191]) ).
fof(f193,definition,
sF1 = flip(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f194,plain,
flip(sF0) = sF1,
inference(reorient_equations,[],[f193]) ).
fof(f195,definition,
sF2 = domain_of(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f196,plain,
domain_of(sF1) = sF2,
inference(reorient_equations,[],[f195]) ).
fof(f197,definition,
sF3 = domain_of(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f198,plain,
domain_of(sF2) = sF3,
inference(reorient_equations,[],[f197]) ).
fof(f199,plain,
null_class != sF3,
inference(definition_folding,[],[f186,f198,f196,f194,f192]) ).
fof(f205,plain,
! [X0,X1] :
( member(regular(X0),X1)
| ~ subclass(X0,X1)
| null_class = X0 ),
inference(resolution,[],[f1,f68]) ).
fof(f208,plain,
! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),sF1)
| member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),sF0) ),
inference(superposition,[],[f148,f194]) ).
fof(f211,plain,
! [X0,X1] :
( regular(cross_product(X0,X1)) = unordered_pair(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),unordered_pair(first(regular(cross_product(X0,X1))),unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))))
| cross_product(X0,X1) = null_class ),
inference(resolution,[],[f140,f68]) ).
fof(f213,plain,
! [X2,X0,X1] :
( ~ subclass(X0,cross_product(X1,X2))
| regular(X0) = unordered_pair(unordered_pair(first(regular(X0)),first(regular(X0))),unordered_pair(first(regular(X0)),unordered_pair(second(regular(X0)),second(regular(X0)))))
| null_class = X0 ),
inference(resolution,[],[f140,f205]) ).
fof(f217,plain,
! [X2,X3,X0,X1] :
( ~ member(regular(cross_product(X0,X1)),cross_product(X2,X3))
| member(first(regular(cross_product(X0,X1))),X2)
| cross_product(X0,X1) = null_class ),
inference(superposition,[],[f137,f211]) ).
fof(f222,definition,
( spl4_1
<=> null_class = sF0 ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f223,plain,
( null_class != sF0
| spl4_1 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f224,plain,
( null_class = sF0
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f230,plain,
! [X0,X1] :
( member(first(regular(cross_product(X0,X1))),X0)
| cross_product(X0,X1) = null_class
| cross_product(X0,X1) = null_class ),
inference(resolution,[],[f217,f68]) ).
fof(f235,plain,
! [X0,X1] :
( member(first(regular(cross_product(X0,X1))),X0)
| cross_product(X0,X1) = null_class ),
inference(duplicate_literal_removal,[],[f230]) ).
fof(f247,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f21,f2]) ).
fof(f287,plain,
! [X0] :
( regular(flip(X0)) = unordered_pair(unordered_pair(first(regular(flip(X0))),first(regular(flip(X0)))),unordered_pair(first(regular(flip(X0))),unordered_pair(second(regular(flip(X0))),second(regular(flip(X0))))))
| null_class = flip(X0) ),
inference(resolution,[],[f213,f36]) ).
fof(f310,definition,
( spl4_7
<=> sF0 = sF1 ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f311,plain,
( sF0 != sF1
| spl4_7 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f312,plain,
( sF0 = sF1
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f366,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f247,f3]) ).
fof(f374,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f366]) ).
fof(f392,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f374,f70]) ).
fof(f445,plain,
( sF2 = domain_of(sF0)
| ~ spl4_7 ),
inference(superposition,[],[f196,f312]) ).
fof(f652,plain,
! [X2,X0,X1] :
( ~ member(regular(flip(X0)),cross_product(X1,X2))
| member(first(regular(flip(X0))),X1)
| null_class = flip(X0) ),
inference(superposition,[],[f137,f287]) ).
fof(f660,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f392,f7]) ).
fof(f662,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f660]) ).
fof(f663,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f662,f374]) ).
fof(f667,plain,
! [X2,X0,X1] :
( member(first(regular(flip(X0))),X1)
| null_class = flip(X0)
| ~ subclass(flip(X0),cross_product(X1,X2))
| null_class = flip(X0) ),
inference(resolution,[],[f652,f205]) ).
fof(f670,plain,
! [X2,X0,X1] :
( ~ subclass(flip(X0),cross_product(X1,X2))
| null_class = flip(X0)
| member(first(regular(flip(X0))),X1) ),
inference(duplicate_literal_removal,[],[f667]) ).
fof(f713,plain,
! [X0] :
( member(first(regular(flip(X0))),cross_product(universal_class,universal_class))
| null_class = flip(X0) ),
inference(resolution,[],[f670,f36]) ).
fof(f720,plain,
! [X0] :
( first(regular(flip(X0))) = unordered_pair(unordered_pair(first(first(regular(flip(X0)))),first(first(regular(flip(X0))))),unordered_pair(first(first(regular(flip(X0)))),unordered_pair(second(first(regular(flip(X0)))),second(first(regular(flip(X0)))))))
| null_class = flip(X0) ),
inference(resolution,[],[f713,f140]) ).
fof(f730,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(first(regular(flip(X0)))),second(first(regular(flip(X0))))),unordered_pair(second(first(regular(flip(X0)))),unordered_pair(first(first(regular(flip(X0)))),first(first(regular(flip(X0))))))),unordered_pair(unordered_pair(second(first(regular(flip(X0)))),second(first(regular(flip(X0))))),unordered_pair(second(first(regular(flip(X0)))),unordered_pair(first(first(regular(flip(X0)))),first(first(regular(flip(X0)))))))),unordered_pair(unordered_pair(unordered_pair(second(first(regular(flip(X0)))),second(first(regular(flip(X0))))),unordered_pair(second(first(regular(flip(X0)))),unordered_pair(first(first(regular(flip(X0)))),first(first(regular(flip(X0))))))),unordered_pair(X1,X1))),X2)
| ~ member(unordered_pair(unordered_pair(first(regular(flip(X0))),first(regular(flip(X0)))),unordered_pair(first(regular(flip(X0))),unordered_pair(X1,X1))),flip(X2))
| null_class = flip(X0) ),
inference(superposition,[],[f148,f720]) ).
fof(f767,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(first(first(regular(flip(X0)))),first(first(regular(flip(X0))))),unordered_pair(first(first(regular(flip(X0)))),unordered_pair(second(first(regular(flip(X0)))),second(first(regular(flip(X0))))))),unordered_pair(unordered_pair(first(first(regular(flip(X0)))),first(first(regular(flip(X0))))),unordered_pair(first(first(regular(flip(X0)))),unordered_pair(second(first(regular(flip(X0)))),second(first(regular(flip(X0)))))))),unordered_pair(unordered_pair(unordered_pair(first(first(regular(flip(X0)))),first(first(regular(flip(X0))))),unordered_pair(first(first(regular(flip(X0)))),unordered_pair(second(first(regular(flip(X0)))),second(first(regular(flip(X0))))))),unordered_pair(X1,X1))),X2)
| null_class = flip(X0)
| ~ member(unordered_pair(unordered_pair(first(regular(flip(X0))),first(regular(flip(X0)))),unordered_pair(first(regular(flip(X0))),unordered_pair(X1,X1))),flip(flip(X2))) ),
inference(resolution,[],[f730,f148]) ).
fof(f771,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(first(regular(flip(X0))),first(regular(flip(X0)))),unordered_pair(first(regular(flip(X0))),unordered_pair(X1,X1))),flip(sF1))
| null_class = flip(X0)
| member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(first(first(regular(flip(X0)))),first(first(regular(flip(X0))))),unordered_pair(first(first(regular(flip(X0)))),unordered_pair(second(first(regular(flip(X0)))),second(first(regular(flip(X0))))))),unordered_pair(unordered_pair(first(first(regular(flip(X0)))),first(first(regular(flip(X0))))),unordered_pair(first(first(regular(flip(X0)))),unordered_pair(second(first(regular(flip(X0)))),second(first(regular(flip(X0)))))))),unordered_pair(unordered_pair(unordered_pair(first(first(regular(flip(X0)))),first(first(regular(flip(X0))))),unordered_pair(first(first(regular(flip(X0)))),unordered_pair(second(first(regular(flip(X0)))),second(first(regular(flip(X0))))))),unordered_pair(X1,X1))),sF0) ),
inference(resolution,[],[f730,f208]) ).
fof(f808,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f144,f663]) ).
fof(f809,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f808]) ).
fof(f813,plain,
! [X0] : null_class = cross_product(domain_of(null_class),X0),
inference(resolution,[],[f809,f235]) ).
fof(f815,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f809,f68]) ).
fof(f820,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(first(regular(flip(X0))),first(regular(flip(X0)))),unordered_pair(first(regular(flip(X0))),unordered_pair(X1,X1))),flip(domain_of(null_class)))
| null_class = flip(X0) ),
inference(resolution,[],[f809,f730]) ).
fof(f822,plain,
! [X0] : null_class = cross_product(null_class,X0),
inference(forward_demodulation,[],[f813,f815]) ).
fof(f826,plain,
null_class = sF0,
inference(superposition,[],[f822,f192]) ).
fof(f842,plain,
( $false
| spl4_1 ),
inference(forward_subsumption_resolution,[],[f826,f223]) ).
fof(f843,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f842]) ).
fof(f851,plain,
( ! [X0] : ~ member(X0,domain_of(sF0))
| ~ spl4_1 ),
inference(superposition,[],[f809,f224]) ).
fof(f853,plain,
( ! [X0] : ~ member(X0,sF2)
| ~ spl4_1
| ~ spl4_7 ),
inference(forward_demodulation,[],[f851,f445]) ).
fof(f858,plain,
( null_class = sF2
| ~ spl4_1
| ~ spl4_7 ),
inference(resolution,[],[f853,f68]) ).
fof(f867,plain,
( sF0 = sF2
| ~ spl4_1
| ~ spl4_7 ),
inference(forward_demodulation,[],[f858,f224]) ).
fof(f871,plain,
! [X0] : ~ member(X0,null_class),
inference(superposition,[],[f809,f815]) ).
fof(f873,plain,
( ! [X0] : ~ member(X0,sF0)
| ~ spl4_1 ),
inference(forward_demodulation,[],[f871,f224]) ).
fof(f934,plain,
( sF3 = domain_of(sF0)
| ~ spl4_1
| ~ spl4_7 ),
inference(superposition,[],[f198,f867]) ).
fof(f935,plain,
( sF2 = sF3
| ~ spl4_1
| ~ spl4_7 ),
inference(forward_demodulation,[],[f934,f445]) ).
fof(f936,plain,
( sF0 = sF3
| ~ spl4_1
| ~ spl4_7 ),
inference(forward_demodulation,[],[f935,f867]) ).
fof(f937,plain,
( null_class != sF0
| ~ spl4_1
| ~ spl4_7 ),
inference(superposition,[],[f199,f936]) ).
fof(f938,plain,
( $false
| ~ spl4_1
| ~ spl4_7 ),
inference(forward_subsumption_resolution,[],[f937,f224]) ).
fof(f939,plain,
( ~ spl4_1
| ~ spl4_7 ),
inference(avatar_contradiction_clause,[],[f938]) ).
fof(f951,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(first(regular(flip(X0))),first(regular(flip(X0)))),unordered_pair(first(regular(flip(X0))),unordered_pair(X1,X1))),flip(sF1))
| null_class = flip(X0) )
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f771,f873]) ).
fof(f967,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(first(regular(flip(X0))),first(regular(flip(X0)))),unordered_pair(first(regular(flip(X0))),unordered_pair(X1,X1))),flip(sF1))
| flip(X0) = sF0 )
| ~ spl4_1 ),
inference(forward_demodulation,[],[f951,f224]) ).
fof(f971,plain,
( ! [X0] :
( ~ member(regular(flip(X0)),flip(sF1))
| flip(X0) = sF0
| null_class = flip(X0) )
| ~ spl4_1 ),
inference(superposition,[],[f967,f287]) ).
fof(f972,plain,
( ! [X0] :
( flip(X0) = sF0
| ~ member(regular(flip(X0)),flip(sF1))
| flip(X0) = sF0 )
| ~ spl4_1 ),
inference(forward_demodulation,[],[f971,f224]) ).
fof(f973,plain,
( ! [X0] :
( ~ member(regular(flip(X0)),flip(sF1))
| flip(X0) = sF0 )
| ~ spl4_1 ),
inference(duplicate_literal_removal,[],[f972]) ).
fof(f997,plain,
( sF0 = flip(sF1)
| null_class = flip(sF1)
| ~ spl4_1 ),
inference(resolution,[],[f973,f68]) ).
fof(f1003,plain,
( sF0 = flip(sF1)
| sF0 = flip(sF1)
| ~ spl4_1 ),
inference(forward_demodulation,[],[f997,f224]) ).
fof(f1004,plain,
( sF0 = flip(sF1)
| ~ spl4_1 ),
inference(duplicate_literal_removal,[],[f1003]) ).
fof(f1177,plain,
! [X0] :
( ~ member(regular(flip(X0)),flip(domain_of(null_class)))
| null_class = flip(X0)
| null_class = flip(X0) ),
inference(superposition,[],[f820,f287]) ).
fof(f1180,plain,
! [X0] :
( ~ member(regular(flip(X0)),flip(domain_of(null_class)))
| null_class = flip(X0) ),
inference(duplicate_literal_removal,[],[f1177]) ).
fof(f1183,plain,
! [X0] :
( ~ member(regular(flip(X0)),flip(null_class))
| null_class = flip(X0) ),
inference(forward_demodulation,[],[f1180,f815]) ).
fof(f1187,plain,
( ! [X0] :
( ~ member(regular(flip(X0)),flip(sF0))
| null_class = flip(X0) )
| ~ spl4_1 ),
inference(forward_demodulation,[],[f1183,f224]) ).
fof(f1190,plain,
( ! [X0] :
( ~ member(regular(flip(X0)),sF1)
| null_class = flip(X0) )
| ~ spl4_1 ),
inference(forward_demodulation,[],[f1187,f194]) ).
fof(f1192,plain,
( ! [X0] :
( ~ member(regular(flip(X0)),sF1)
| flip(X0) = sF0 )
| ~ spl4_1 ),
inference(forward_demodulation,[],[f1190,f224]) ).
fof(f1632,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(first(regular(flip(X0))),first(regular(flip(X0)))),unordered_pair(first(regular(flip(X0))),unordered_pair(X1,X1))),X2)
| null_class = flip(X0)
| ~ member(unordered_pair(unordered_pair(first(regular(flip(X0))),first(regular(flip(X0)))),unordered_pair(first(regular(flip(X0))),unordered_pair(X1,X1))),flip(flip(X2)))
| null_class = flip(X0) ),
inference(superposition,[],[f767,f720]) ).
fof(f1633,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(first(regular(flip(X0))),first(regular(flip(X0)))),unordered_pair(first(regular(flip(X0))),unordered_pair(X1,X1))),X2)
| null_class = flip(X0)
| ~ member(unordered_pair(unordered_pair(first(regular(flip(X0))),first(regular(flip(X0)))),unordered_pair(first(regular(flip(X0))),unordered_pair(X1,X1))),flip(flip(X2))) ),
inference(duplicate_literal_removal,[],[f1632]) ).
fof(f1634,plain,
( ! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(first(regular(flip(X0))),first(regular(flip(X0)))),unordered_pair(first(regular(flip(X0))),unordered_pair(X1,X1))),flip(flip(X2)))
| member(unordered_pair(unordered_pair(first(regular(flip(X0))),first(regular(flip(X0)))),unordered_pair(first(regular(flip(X0))),unordered_pair(X1,X1))),X2)
| flip(X0) = sF0 )
| ~ spl4_1 ),
inference(forward_demodulation,[],[f1633,f224]) ).
fof(f1676,plain,
( ! [X0,X1] :
( ~ member(regular(flip(X0)),flip(flip(X1)))
| member(regular(flip(X0)),X1)
| flip(X0) = sF0
| null_class = flip(X0) )
| ~ spl4_1 ),
inference(superposition,[],[f1634,f287]) ).
fof(f1680,plain,
( ! [X0,X1] :
( flip(X0) = sF0
| ~ member(regular(flip(X0)),flip(flip(X1)))
| member(regular(flip(X0)),X1)
| flip(X0) = sF0 )
| ~ spl4_1 ),
inference(forward_demodulation,[],[f1676,f224]) ).
fof(f1681,plain,
( ! [X0,X1] :
( ~ member(regular(flip(X0)),flip(flip(X1)))
| flip(X0) = sF0
| member(regular(flip(X0)),X1) )
| ~ spl4_1 ),
inference(duplicate_literal_removal,[],[f1680]) ).
fof(f1683,plain,
( ! [X0] :
( sF0 = flip(flip(X0))
| member(regular(flip(flip(X0))),X0)
| null_class = flip(flip(X0)) )
| ~ spl4_1 ),
inference(resolution,[],[f1681,f68]) ).
fof(f1692,plain,
( ! [X0] :
( sF0 = flip(flip(X0))
| sF0 = flip(flip(X0))
| member(regular(flip(flip(X0))),X0) )
| ~ spl4_1 ),
inference(forward_demodulation,[],[f1683,f224]) ).
fof(f1693,plain,
( ! [X0] :
( member(regular(flip(flip(X0))),X0)
| sF0 = flip(flip(X0)) )
| ~ spl4_1 ),
inference(duplicate_literal_removal,[],[f1692]) ).
fof(f1925,plain,
( sF0 = flip(flip(sF1))
| sF0 = flip(flip(sF1))
| ~ spl4_1 ),
inference(resolution,[],[f1693,f1192]) ).
fof(f1928,plain,
( sF0 = flip(flip(sF1))
| ~ spl4_1 ),
inference(duplicate_literal_removal,[],[f1925]) ).
fof(f1933,plain,
( sF0 = flip(sF0)
| ~ spl4_1 ),
inference(forward_demodulation,[],[f1928,f1004]) ).
fof(f1956,plain,
( sF0 = sF1
| ~ spl4_1 ),
inference(forward_demodulation,[],[f1933,f194]) ).
fof(f1977,plain,
( $false
| ~ spl4_1
| spl4_7 ),
inference(forward_subsumption_resolution,[],[f1956,f311]) ).
fof(f1978,plain,
( ~ spl4_1
| spl4_7 ),
inference(avatar_contradiction_clause,[],[f1977]) ).
cnf(s16,plain,
spl4_1,
inference(sat_conversion,[],[f843]) ).
cnf(s18,plain,
( ~ spl4_1
| ~ spl4_7 ),
inference(sat_conversion,[],[f939]) ).
cnf(s42,plain,
( ~ spl4_1
| spl4_7 ),
inference(sat_conversion,[],[f1978]) ).
cnf(s43,plain,
spl4_7,
inference(rat,[],[s42,s16]) ).
cnf(s45,plain,
$false,
inference(rat,[],[s18,s43,s16]) ).
fof(f1980,plain,
$false,
inference(avatar_sat_refutation,[],[s45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET305-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 % Computer : n026.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Mon Sep 28 01:26:12 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.46 Running first-order theorem proving
% 0.14/0.46 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
% 8.22/2.92 % (3385406)Input is clausal, will run a generic CNF schedule.
% 8.22/2.92 % (3385411)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=3378719153:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.22/2.92 % (3385413)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=198624515:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.22/2.92 % (3385414)lrs+10_1_sil=8000:sp=occurrence:random_seed=3854478901:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.22/2.92 % (3385412)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=500396432:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.22/2.92 % (3385416)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1537828928:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.22/2.92 % (3385417)dis-21_1_sil=8000:lcm=predicate:random_seed=2021590831: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)
% 8.22/2.92 % (3385415)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3421421256:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.22/2.92 % (3385414)Refutation not found, incomplete strategy
% 8.22/2.92 % (3385414)------------------------------
% 8.22/2.92 % (3385414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/2.92 % (3385414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.92 % (3385414)CaDiCaL version: 2.1.3
% 8.22/2.92 % (3385414)Termination reason: Refutation not found, incomplete strategy
% 8.22/2.92 % (3385414)Time elapsed: 0.002 s
% 8.22/2.92 % (3385414)Peak memory usage: 87 MB
% 8.22/2.92 % (3385417)Instruction limit reached!
% 8.22/2.92 % (3385417)------------------------------
% 8.22/2.92 % (3385417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/2.92 % (3385417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.92 % (3385417)CaDiCaL version: 2.1.3
% 8.22/2.92 % (3385417)Termination reason: Instruction limit
% 8.22/2.92 % (3385417)Termination phase: Saturation
% 8.22/2.92 % (3385417)Time elapsed: 0.107 s
% 8.22/2.92 % (3385417)Peak memory usage: 89 MB
% 8.22/2.92 % (3385417)Instructions burned: 117 (million)
% 8.22/2.92 % (3385415)Instruction limit reached!
% 8.22/2.92 % (3385415)------------------------------
% 8.22/2.92 % (3385415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/2.92 % (3385415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.92 % (3385415)CaDiCaL version: 2.1.3
% 8.22/2.92 % (3385415)Termination reason: Instruction limit
% 8.22/2.92 % (3385415)Termination phase: Saturation
% 8.22/2.92 % (3385415)Time elapsed: 0.110 s
% 8.22/2.92 % (3385415)Peak memory usage: 89 MB
% 8.22/2.92 % (3385415)Instructions burned: 114 (million)
% 8.22/2.92 % (3385416)Instruction limit reached!
% 8.22/2.92 % (3385416)------------------------------
% 8.22/2.92 % (3385416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/2.92 % (3385416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.92 % (3385416)CaDiCaL version: 2.1.3
% 8.22/2.92 % (3385416)Termination reason: Instruction limit
% 8.22/2.92 % (3385416)Termination phase: Saturation
% 8.22/2.92 % (3385416)Time elapsed: 0.216 s
% 8.22/2.92 % (3385416)Peak memory usage: 90 MB
% 8.22/2.92 % (3385416)Instructions burned: 181 (million)
% 8.22/2.92 % (3385425)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=1758278256:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 8.22/2.92 % (3385425)Refutation not found, incomplete strategy
% 8.22/2.92 % (3385425)------------------------------
% 8.22/2.92 % (3385425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/2.92 % (3385425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.92 % (3385425)CaDiCaL version: 2.1.3
% 8.22/2.92 % (3385425)Termination reason: Refutation not found, incomplete strategy
% 8.22/2.92 % (3385425)Time elapsed: 0.005 s
% 8.22/2.92 % (3385425)Peak memory usage: 88 MB
% 8.22/2.92 % (3385425)Instructions burned: 4 (million)
% 8.22/2.92 % (3385426)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=624824662:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 8.22/2.92 % (3385414)------------------------------
% 8.22/2.92 % (3385414)------------------------------
% 8.22/2.92 % (3385427)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=246332323:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 8.22/2.92 % (3385427)Refutation not found, incomplete strategy
% 8.22/2.92 % (3385427)------------------------------
% 8.22/2.92 % (3385427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/2.92 % (3385427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.92 % (3385427)CaDiCaL version: 2.1.3
% 8.22/2.92 % (3385427)Termination reason: Refutation not found, incomplete strategy
% 8.22/2.92 % (3385427)Time elapsed: 0.005 s
% 8.22/2.92 % (3385427)Peak memory usage: 88 MB
% 8.22/2.92 % (3385427)Instructions burned: 3 (million)
% 8.22/2.92 % (3385426)Instruction limit reached!
% 8.22/2.92 % (3385426)------------------------------
% 8.22/2.92 % (3385426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/2.92 % (3385426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.92 % (3385426)CaDiCaL version: 2.1.3
% 8.22/2.92 % (3385426)Termination reason: Instruction limit
% 8.22/2.92 % (3385426)Termination phase: Saturation
% 8.22/2.92 % (3385426)Time elapsed: 0.173 s
% 8.22/2.92 % (3385426)Peak memory usage: 91 MB
% 8.22/2.92 % (3385426)Instructions burned: 189 (million)
% 8.22/2.92 % (3385430)lrs+10_64_to=lpo:sil=8000:random_seed=1701458655:i=126:bd=preordered_2994 on theBenchmark for (2994ds/126Mi)
% 8.22/2.92 % (3385430)Instruction limit reached!
% 8.22/2.92 % (3385430)------------------------------
% 8.22/2.92 % (3385430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/2.92 % (3385430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.92 % (3385430)CaDiCaL version: 2.1.3
% 8.22/2.92 % (3385430)Termination reason: Instruction limit
% 8.22/2.92 % (3385430)Termination phase: Saturation
% 8.22/2.92 % (3385430)Time elapsed: 0.067 s
% 8.22/2.92 % (3385430)Peak memory usage: 89 MB
% 8.22/2.92 % (3385430)Instructions burned: 127 (million)
% 8.22/2.92 % (3385425)------------------------------
% 8.22/2.92 % (3385425)------------------------------
% 8.22/2.92 % (3385432)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1918922202:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 8.22/2.92 % (3385434)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2643448561:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 8.22/2.92 % (3385427)------------------------------
% 8.22/2.92 % (3385427)------------------------------
% 8.22/2.92 % (3385434)Instruction limit reached!
% 8.22/2.92 % (3385434)------------------------------
% 8.22/2.92 % (3385434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/2.92 % (3385434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.92 % (3385434)CaDiCaL version: 2.1.3
% 8.22/2.92 % (3385434)Termination reason: Instruction limit
% 8.22/2.92 % (3385434)Termination phase: Saturation
% 8.22/2.92 % (3385434)Time elapsed: 0.088 s
% 8.22/2.92 % (3385434)Peak memory usage: 91 MB
% 8.22/2.92 % (3385434)Instructions burned: 158 (million)
% 8.22/2.92 % (3385435)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3524665723:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 8.22/2.92 % (3385432)Instruction limit reached!
% 8.22/2.92 % (3385432)------------------------------
% 8.22/2.92 % (3385432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/2.92 % (3385432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.92 % (3385432)CaDiCaL version: 2.1.3
% 8.22/2.92 % (3385432)Termination reason: Instruction limit
% 8.22/2.92 % (3385432)Termination phase: Saturation
% 8.22/2.92 % (3385432)Time elapsed: 0.196 s
% 8.22/2.92 % (3385432)Peak memory usage: 90 MB
% 8.22/2.92 % (3385432)Instructions burned: 195 (million)
% 8.22/2.92 % (3385438)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1230967048:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 8.22/2.92 % (3385439)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2180050162:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 8.22/2.92 % (3385439)Refutation not found, incomplete strategy
% 8.22/2.92 % (3385439)------------------------------
% 8.22/2.92 % (3385439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/2.92 % (3385439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.92 % (3385439)CaDiCaL version: 2.1.3
% 8.22/2.92 % (3385439)Termination reason: Refutation not found, incomplete strategy
% 8.22/2.92 % (3385439)Time elapsed: 0.009 s
% 8.22/2.92 % (3385439)Peak memory usage: 88 MB
% 8.22/2.92 % (3385439)Instructions burned: 8 (million)
% 8.22/2.92 % (3385438)Instruction limit reached!
% 8.22/2.92 % (3385438)------------------------------
% 8.22/2.92 % (3385438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/2.92 % (3385438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.92 % (3385438)CaDiCaL version: 2.1.3
% 8.22/2.92 % (3385438)Termination reason: Instruction limit
% 8.22/2.92 % (3385438)Termination phase: Saturation
% 8.22/2.92 % (3385438)Time elapsed: 0.108 s
% 8.22/2.92 % (3385438)Peak memory usage: 89 MB
% 8.22/2.92 % (3385438)Instructions burned: 107 (million)
% 8.22/2.92 % (3385441)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=233431453:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2988 on theBenchmark for (2988ds/242Mi)
% 8.22/2.92 % (3385411)First to succeed.
% 8.22/2.92 % (3385411)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3385406"
% 8.22/2.92 % (3385445)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3069242114:cond=fast:i=5208:av=off_2986 on theBenchmark for (2986ds/5208Mi)
% 8.22/2.92 % (3385441)Instruction limit reached!
% 8.22/2.92 % (3385441)------------------------------
% 8.22/2.92 % (3385441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/2.92 % (3385441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.92 % (3385441)CaDiCaL version: 2.1.3
% 8.22/2.92 % (3385441)Termination reason: Instruction limit
% 8.22/2.92 % (3385441)Termination phase: Saturation
% 8.22/2.92 % (3385441)Time elapsed: 0.252 s
% 8.22/2.92 % (3385441)Peak memory usage: 90 MB
% 8.22/2.92 % (3385441)Instructions burned: 242 (million)
% 8.22/2.92 % (3385439)------------------------------
% 8.22/2.92 % (3385439)------------------------------
% 8.22/2.92 % (3385447)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2690354725:i=134:sd=2:doe=on:ss=axioms:sgt=14_2983 on theBenchmark for (2983ds/134Mi)
% 8.22/2.92 % (3385411)Refutation found. Thanks to Tanya!
% 8.22/2.92 % SZS status Unsatisfiable for theBenchmark
% 8.22/2.92 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/3.21 % (3385411)------------------------------
% 0.22/3.21 % (3385411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/3.21 % (3385411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/3.21 % (3385411)CaDiCaL version: 2.1.3
% 0.22/3.21 % (3385411)Termination reason: Refutation
% 0.22/3.21 % (3385411)Time elapsed: 1.313 s
% 0.22/3.21 % (3385411)Peak memory usage: 133 MB
% 0.22/3.21 % (3385411)Instructions burned: 1280 (million)
% 0.22/3.21 % (3385411)------------------------------
% 0.22/3.21 % (3385411)------------------------------
% 0.22/3.21 % (3385406)Success in time 1.875 s
% 0.22/3.21 % Vampire exiting
%------------------------------------------------------------------------------