%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET269-6 : 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 12:40:39 PM UTC 2026
% Result : Unsatisfiable 21.18s 3.86s
% Output : Refutation 21.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 21
% Syntax : Number of formulae : 91 ( 30 unt; 0 def)
% Number of atoms : 185 ( 47 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 167 ( 73 ~; 94 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-3 aty)
% Number of variables : 174 ( 174 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,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(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
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(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product3) ).
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(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(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(f31,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| restrict(X1,singleton(X0),universal_class) = null_class
| member(X0,domain_of(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).
fof(f32,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| null_class = restrict(X1,singleton(X0),universal_class)
| member(X0,domain_of(X1)) ),
inference(reorient_equations,[],[f31]) ).
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,
domain_of(intersection(x,cross_product(universal_class,universal_class))) != domain_of(x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_does_ordered_pairs_1) ).
fof(f127,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(f136,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,f127]) ).
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(X1,X3) ),
inference(definition_unfolding,[],[f15,f127]) ).
fof(f138,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(X1,X3))
| ~ member(X2,X3)
| ~ member(X0,X1) ),
inference(definition_unfolding,[],[f16,f127]) ).
fof(f139,plain,
! [X2,X0,X1] :
( unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0
| ~ member(X0,cross_product(X1,X2)) ),
inference(definition_unfolding,[],[f17,f127]) ).
fof(f143,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(f144,plain,
! [X0,X1] :
( null_class = intersection(X1,cross_product(unordered_pair(X0,X0),universal_class))
| ~ member(X0,universal_class)
| member(X0,domain_of(X1)) ),
inference(definition_unfolding,[],[f32,f28,f12]) ).
fof(f192,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f22]) ).
fof(f193,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f21]) ).
fof(f195,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
| subclass(X0,intersection(X1,X2))
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X1) ),
inference(resolution,[],[f3,f23]) ).
fof(f197,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f193,f3]) ).
fof(f200,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f197]) ).
fof(f201,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X1)
| subclass(intersection(X0,X1),X1) ),
inference(resolution,[],[f192,f3]) ).
fof(f204,plain,
! [X0,X1] : subclass(intersection(X0,X1),X1),
inference(duplicate_literal_removal,[],[f201]) ).
fof(f212,plain,
! [X0,X1] :
( ~ subclass(X0,intersection(X1,X0))
| intersection(X1,X0) = X0 ),
inference(resolution,[],[f204,f7]) ).
fof(f213,plain,
! [X0,X1] :
( subclass(X0,intersection(X1,X0))
| ~ member(not_subclass_element(X0,intersection(X1,X0)),X1)
| subclass(X0,intersection(X1,X0)) ),
inference(resolution,[],[f195,f2]) ).
fof(f221,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X0)),X1)
| subclass(X0,intersection(X1,X0)) ),
inference(duplicate_literal_removal,[],[f213]) ).
fof(f222,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X1)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f68,f22]) ).
fof(f223,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X0)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f68,f21]) ).
fof(f227,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(unordered_pair(X2,X2),universal_class))
| member(X0,null_class)
| ~ member(X0,X1)
| ~ member(X2,universal_class)
| member(X2,domain_of(X1)) ),
inference(superposition,[],[f23,f144]) ).
fof(f237,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X0)),X2)
| subclass(X0,intersection(X1,X0))
| ~ subclass(X2,X1) ),
inference(resolution,[],[f221,f1]) ).
fof(f257,plain,
! [X2,X0,X1] :
( member(regular(intersection(intersection(X0,X1),X2)),X0)
| null_class = intersection(intersection(X0,X1),X2) ),
inference(resolution,[],[f223,f21]) ).
fof(f267,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f200,f70]) ).
fof(f270,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f267,f7]) ).
fof(f271,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f270]) ).
fof(f274,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f271,f200]) ).
fof(f297,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f143,f274]) ).
fof(f298,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f297]) ).
fof(f314,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f298,f68]) ).
fof(f319,plain,
! [X0] : ~ member(X0,null_class),
inference(backward_demodulation,[],[f298,f314]) ).
fof(f373,plain,
! [X2,X0,X1] :
( member(regular(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))),null_class)
| ~ member(regular(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))),X2)
| ~ member(X1,universal_class)
| member(X1,domain_of(X2))
| null_class = intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)) ),
inference(resolution,[],[f227,f222]) ).
fof(f376,plain,
! [X2,X0,X1] :
( ~ member(regular(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))),X2)
| ~ member(X1,universal_class)
| member(X1,domain_of(X2))
| null_class = intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)) ),
inference(forward_subsumption_resolution,[],[f373,f319]) ).
fof(f415,plain,
! [X2,X3,X0,X1] :
( ~ member(regular(intersection(X3,cross_product(unordered_pair(X0,X0),universal_class))),X2)
| member(X0,domain_of(intersection(X1,X2)))
| null_class = intersection(X3,cross_product(unordered_pair(X0,X0),universal_class))
| ~ member(X0,universal_class)
| ~ member(regular(intersection(X3,cross_product(unordered_pair(X0,X0),universal_class))),X1) ),
inference(resolution,[],[f376,f23]) ).
fof(f608,plain,
! [X2,X0,X1] :
( null_class = intersection(intersection(X0,X1),cross_product(unordered_pair(X2,X2),universal_class))
| ~ member(X2,universal_class)
| member(X2,domain_of(X0))
| null_class = intersection(intersection(X0,X1),cross_product(unordered_pair(X2,X2),universal_class)) ),
inference(resolution,[],[f257,f376]) ).
fof(f622,plain,
! [X2,X0,X1] :
( null_class = intersection(intersection(X0,X1),cross_product(unordered_pair(X2,X2),universal_class))
| ~ member(X2,universal_class)
| member(X2,domain_of(X0)) ),
inference(duplicate_literal_removal,[],[f608]) ).
fof(f645,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X3,X4))
| member(first(X0),X1)
| ~ member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f136,f139]) ).
fof(f646,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X3,X4))
| member(second(X0),X2)
| ~ member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f137,f139]) ).
fof(f666,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),X2) ),
inference(factoring,[],[f646]) ).
fof(f685,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1) ),
inference(factoring,[],[f645]) ).
fof(f1965,plain,
! [X0,X1] :
( subclass(X0,intersection(X1,X0))
| ~ subclass(X0,X1)
| subclass(X0,intersection(X1,X0)) ),
inference(resolution,[],[f237,f2]) ).
fof(f1999,plain,
! [X0,X1] :
( subclass(X0,intersection(X1,X0))
| ~ subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f1965]) ).
fof(f2005,plain,
! [X0,X1] :
( intersection(X1,X0) = X0
| ~ subclass(X0,X1) ),
inference(resolution,[],[f1999,f212]) ).
fof(f2023,plain,
! [X0] : intersection(universal_class,X0) = X0,
inference(unit_resulting_resolution,[],[f2005,f4]) ).
fof(f2108,plain,
! [X0,X1] :
( member(X1,universal_class)
| ~ member(X1,X0) ),
inference(superposition,[],[f21,f2023]) ).
fof(f2221,plain,
! [X2,X0,X1] :
( null_class != null_class
| ~ member(X2,domain_of(intersection(X0,X1)))
| ~ member(X2,universal_class)
| member(X2,domain_of(X0)) ),
inference(superposition,[],[f143,f622]) ).
fof(f2265,plain,
! [X2,X0,X1] :
( ~ member(X2,domain_of(intersection(X0,X1)))
| ~ member(X2,universal_class)
| member(X2,domain_of(X0)) ),
inference(trivial_inequality_removal,[],[f2221]) ).
fof(f2274,plain,
! [X2,X0,X1] :
( ~ member(X2,domain_of(intersection(X0,X1)))
| member(X2,domain_of(X0)) ),
inference(forward_subsumption_resolution,[],[f2265,f2108]) ).
fof(f2290,plain,
! [X2,X0,X1] :
( member(not_subclass_element(domain_of(intersection(X0,X1)),X2),domain_of(X0))
| subclass(domain_of(intersection(X0,X1)),X2) ),
inference(resolution,[],[f2274,f2]) ).
fof(f2357,plain,
! [X0,X1] :
( subclass(domain_of(intersection(X0,X1)),domain_of(X0))
| subclass(domain_of(intersection(X0,X1)),domain_of(X0)) ),
inference(resolution,[],[f2290,f3]) ).
fof(f2389,plain,
! [X0,X1] : subclass(domain_of(intersection(X0,X1)),domain_of(X0)),
inference(duplicate_literal_removal,[],[f2357]) ).
fof(f2416,plain,
~ subclass(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),
inference(unit_resulting_resolution,[],[f7,f122,f2389]) ).
fof(f2461,plain,
~ member(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),domain_of(intersection(x,cross_product(universal_class,universal_class)))),
inference(unit_resulting_resolution,[],[f3,f2416]) ).
fof(f2462,plain,
member(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),domain_of(x)),
inference(unit_resulting_resolution,[],[f2,f2416]) ).
fof(f2468,plain,
null_class != intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class))))),universal_class)),
inference(unit_resulting_resolution,[],[f143,f2462]) ).
fof(f2470,plain,
member(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),universal_class),
inference(unit_resulting_resolution,[],[f1,f4,f2462]) ).
fof(f3464,plain,
member(regular(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class))))),universal_class))),x),
inference(unit_resulting_resolution,[],[f223,f2468]) ).
fof(f3465,plain,
member(regular(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class))))),universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class))))),universal_class)),
inference(unit_resulting_resolution,[],[f222,f2468]) ).
fof(f3484,plain,
regular(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class))))),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class))))),universal_class)))),first(regular(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class))))),universal_class))))),unordered_pair(first(regular(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class))))),universal_class)))),unordered_pair(second(regular(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class))))),universal_class)))),second(regular(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class))))),universal_class))))))),
inference(unit_resulting_resolution,[],[f139,f3465]) ).
fof(f3518,plain,
member(second(regular(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class))))),universal_class)))),universal_class),
inference(resolution,[],[f3465,f666]) ).
fof(f3519,plain,
member(first(regular(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class))))),universal_class)))),unordered_pair(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))))),
inference(resolution,[],[f3465,f685]) ).
fof(f4313,plain,
( not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))) = first(regular(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class))))),universal_class))))
| not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))) = first(regular(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class))))),universal_class)))) ),
inference(resolution,[],[f3519,f8]) ).
fof(f4321,plain,
not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))) = first(regular(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class))))),universal_class)))),
inference(duplicate_literal_removal,[],[f4313]) ).
fof(f4322,plain,
regular(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class))))),universal_class))) = unordered_pair(unordered_pair(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class))))),unordered_pair(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),unordered_pair(second(regular(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class))))),universal_class)))),second(regular(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class))))),universal_class))))))),
inference(backward_demodulation,[],[f3484,f4321]) ).
fof(f4546,plain,
member(unordered_pair(unordered_pair(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class))))),unordered_pair(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),unordered_pair(second(regular(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class))))),universal_class)))),second(regular(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class))))),universal_class))))))),cross_product(universal_class,universal_class)),
inference(unit_resulting_resolution,[],[f138,f2470,f3518]) ).
fof(f4646,plain,
member(regular(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class))))),universal_class))),cross_product(universal_class,universal_class)),
inference(forward_demodulation,[],[f4546,f4322]) ).
fof(f5748,plain,
~ member(regular(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class)))),not_subclass_element(domain_of(x),domain_of(intersection(x,cross_product(universal_class,universal_class))))),universal_class))),cross_product(universal_class,universal_class)),
inference(unit_resulting_resolution,[],[f415,f2470,f2468,f3464,f2461]) ).
fof(f5828,plain,
$false,
inference(forward_subsumption_resolution,[],[f5748,f4646]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET269-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n026.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 01:18:57 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 9.75/2.25 % (3381452)Input is clausal, will run a generic CNF schedule.
% 9.75/2.25 % (3381463)dis-21_1_sil=8000:lcm=predicate:random_seed=2203601532: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)
% 9.75/2.25 % (3381458)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1903631059:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.75/2.25 % (3381457)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=1528611101:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.75/2.25 % (3381459)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=331046097:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.75/2.25 % (3381461)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1096709187:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.75/2.25 % (3381460)lrs+10_1_sil=8000:sp=occurrence:random_seed=2381628131:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.75/2.25 % (3381463)Instruction limit reached!
% 9.75/2.25 % (3381463)------------------------------
% 9.75/2.25 % (3381463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.25 % (3381463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.25 % (3381463)CaDiCaL version: 2.1.3
% 9.75/2.25 % (3381463)Termination reason: Instruction limit
% 9.75/2.25 % (3381463)Termination phase: Saturation
% 9.75/2.25 % (3381463)Time elapsed: 0.040 s
% 9.75/2.25 % (3381463)Peak memory usage: 89 MB
% 9.75/2.25 % (3381463)Instructions burned: 120 (million)
% 9.75/2.25 % (3381462)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3399827536:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.75/2.25 % (3381460)Refutation not found, incomplete strategy
% 9.75/2.25 % (3381460)------------------------------
% 9.75/2.25 % (3381460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.25 % (3381460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.25 % (3381460)CaDiCaL version: 2.1.3
% 9.75/2.25 % (3381460)Termination reason: Refutation not found, incomplete strategy
% 9.75/2.25 % (3381460)Time elapsed: 0.001 s
% 9.75/2.25 % (3381460)Peak memory usage: 88 MB
% 9.75/2.25 % (3381461)Refutation not found, incomplete strategy
% 9.75/2.25 % (3381461)------------------------------
% 9.75/2.25 % (3381461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.25 % (3381461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.25 % (3381461)CaDiCaL version: 2.1.3
% 9.75/2.25 % (3381461)Termination reason: Refutation not found, incomplete strategy
% 9.75/2.25 % (3381461)Time elapsed: 0.004 s
% 9.75/2.25 % (3381461)Peak memory usage: 88 MB
% 9.75/2.25 % (3381461)Instructions burned: 4 (million)
% 9.75/2.25 % (3381471)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=863820416:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 9.75/2.25 % (3381471)Refutation not found, incomplete strategy
% 9.75/2.25 % (3381471)------------------------------
% 9.75/2.25 % (3381471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.25 % (3381471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.25 % (3381471)CaDiCaL version: 2.1.3
% 9.75/2.25 % (3381471)Termination reason: Refutation not found, incomplete strategy
% 9.75/2.25 % (3381471)Time elapsed: 0.001 s
% 9.75/2.25 % (3381471)Peak memory usage: 88 MB
% 9.75/2.25 % (3381471)Instructions burned: 3 (million)
% 9.75/2.25 % (3381462)Instruction limit reached!
% 9.75/2.25 % (3381462)------------------------------
% 9.75/2.25 % (3381462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.25 % (3381462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.25 % (3381462)CaDiCaL version: 2.1.3
% 9.75/2.25 % (3381462)Termination reason: Instruction limit
% 9.75/2.25 % (3381462)Termination phase: Saturation
% 9.75/2.25 % (3381462)Time elapsed: 0.136 s
% 9.75/2.25 % (3381462)Peak memory usage: 90 MB
% 9.75/2.25 % (3381462)Instructions burned: 181 (million)
% 9.75/2.25 % (3381471)------------------------------
% 9.75/2.25 % (3381471)------------------------------
% 21.18/3.86 % (3381461)------------------------------
% 21.18/3.86 % (3381461)------------------------------
% 21.18/3.86 % (3381460)------------------------------
% 21.18/3.86 % (3381460)------------------------------
% 21.18/3.86 % (3381473)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2020217653:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 21.18/3.86 % (3381474)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3231504025:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 21.18/3.86 % (3381474)Refutation not found, incomplete strategy
% 21.18/3.86 % (3381474)------------------------------
% 21.18/3.86 % (3381474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.18/3.86 % (3381474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/3.86 % (3381474)CaDiCaL version: 2.1.3
% 21.18/3.86 % (3381474)Termination reason: Refutation not found, incomplete strategy
% 21.18/3.86 % (3381474)Time elapsed: 0.002 s
% 21.18/3.86 % (3381474)Peak memory usage: 88 MB
% 21.18/3.86 % (3381474)Instructions burned: 4 (million)
% 21.18/3.86 % (3381476)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2144488957:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 21.18/3.86 % (3381475)lrs+10_64_to=lpo:sil=8000:random_seed=2245078783:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 21.18/3.86 % (3381473)Instruction limit reached!
% 21.18/3.86 % (3381473)------------------------------
% 21.18/3.86 % (3381473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.18/3.86 % (3381473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/3.86 % (3381473)CaDiCaL version: 2.1.3
% 21.18/3.86 % (3381473)Termination reason: Instruction limit
% 21.18/3.86 % (3381473)Termination phase: Saturation
% 21.18/3.86 % (3381473)Time elapsed: 0.111 s
% 21.18/3.86 % (3381473)Peak memory usage: 90 MB
% 21.18/3.86 % (3381473)Instructions burned: 189 (million)
% 21.18/3.86 % (3381475)Instruction limit reached!
% 21.18/3.86 % (3381475)------------------------------
% 21.18/3.86 % (3381475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.18/3.86 % (3381475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/3.86 % (3381475)CaDiCaL version: 2.1.3
% 21.18/3.86 % (3381475)Termination reason: Instruction limit
% 21.18/3.86 % (3381475)Termination phase: Saturation
% 21.18/3.86 % (3381475)Time elapsed: 0.081 s
% 21.18/3.86 % (3381475)Peak memory usage: 89 MB
% 21.18/3.86 % (3381475)Instructions burned: 127 (million)
% 21.18/3.86 % (3381474)------------------------------
% 21.18/3.86 % (3381474)------------------------------
% 21.18/3.86 % (3381476)Instruction limit reached!
% 21.18/3.86 % (3381476)------------------------------
% 21.18/3.86 % (3381476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.18/3.86 % (3381476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/3.86 % (3381476)CaDiCaL version: 2.1.3
% 21.18/3.86 % (3381476)Termination reason: Instruction limit
% 21.18/3.86 % (3381476)Termination phase: Saturation
% 21.18/3.86 % (3381476)Time elapsed: 0.122 s
% 21.18/3.86 % (3381476)Peak memory usage: 89 MB
% 21.18/3.86 % (3381476)Instructions burned: 194 (million)
% 21.18/3.86 % (3381481)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2760256683:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 21.18/3.86 % (3381483)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=2247234269:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 21.18/3.86 % (3381482)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3332571548:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 21.18/3.86 % (3381483)Instruction limit reached!
% 21.18/3.86 % (3381483)------------------------------
% 21.18/3.86 % (3381483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.18/3.86 % (3381483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/3.86 % (3381483)CaDiCaL version: 2.1.3
% 21.18/3.86 % (3381483)Termination reason: Instruction limit
% 21.18/3.86 % (3381483)Termination phase: Saturation
% 21.18/3.86 % (3381483)Time elapsed: 0.030 s
% 21.18/3.86 % (3381483)Peak memory usage: 89 MB
% 21.18/3.86 % (3381483)Instructions burned: 109 (million)
% 21.18/3.86 % (3381481)Instruction limit reached!
% 21.18/3.86 % (3381481)------------------------------
% 21.18/3.86 % (3381481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.18/3.86 % (3381481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/3.86 % (3381481)CaDiCaL version: 2.1.3
% 21.18/3.86 % (3381481)Termination reason: Instruction limit
% 21.18/3.86 % (3381481)Termination phase: Saturation
% 21.18/3.86 % (3381481)Time elapsed: 0.111 s
% 21.18/3.86 % (3381481)Peak memory usage: 91 MB
% 21.18/3.86 % (3381481)Instructions burned: 159 (million)
% 21.18/3.86 % (3381484)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3810007400:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 21.18/3.86 % (3381484)Refutation not found, incomplete strategy
% 21.18/3.86 % (3381484)------------------------------
% 21.18/3.86 % (3381484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.18/3.86 % (3381484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/3.86 % (3381484)CaDiCaL version: 2.1.3
% 21.18/3.86 % (3381484)Termination reason: Refutation not found, incomplete strategy
% 21.18/3.86 % (3381484)Time elapsed: 0.005 s
% 21.18/3.86 % (3381484)Peak memory usage: 88 MB
% 21.18/3.86 % (3381484)Instructions burned: 8 (million)
% 21.18/3.86 % (3381488)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1251458926:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 21.18/3.86 % (3381488)Instruction limit reached!
% 21.18/3.86 % (3381488)------------------------------
% 21.18/3.86 % (3381488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.18/3.86 % (3381488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/3.86 % (3381488)CaDiCaL version: 2.1.3
% 21.18/3.86 % (3381488)Termination reason: Instruction limit
% 21.18/3.86 % (3381488)Termination phase: Saturation
% 21.18/3.86 % (3381488)Time elapsed: 0.089 s
% 21.18/3.86 % (3381488)Peak memory usage: 90 MB
% 21.18/3.86 % (3381488)Instructions burned: 242 (million)
% 21.18/3.86 % (3381489)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=24294578:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 21.18/3.86 % (3381492)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1051472535:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 21.18/3.86 % (3381484)------------------------------
% 21.18/3.86 % (3381484)------------------------------
% 21.18/3.86 % (3381492)Instruction limit reached!
% 21.18/3.86 % (3381492)------------------------------
% 21.18/3.86 % (3381492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.18/3.86 % (3381492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/3.86 % (3381492)CaDiCaL version: 2.1.3
% 21.18/3.86 % (3381492)Termination reason: Instruction limit
% 21.18/3.86 % (3381492)Termination phase: Saturation
% 21.18/3.86 % (3381492)Time elapsed: 0.051 s
% 21.18/3.86 % (3381492)Peak memory usage: 90 MB
% 21.18/3.86 % (3381492)Instructions burned: 137 (million)
% 21.18/3.86 % (3381496)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=721399416:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 21.18/3.86 % (3381495)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=635297183:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 21.18/3.86 % (3381496)Instruction limit reached!
% 21.18/3.86 % (3381496)------------------------------
% 21.18/3.86 % (3381496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.18/3.86 % (3381496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/3.86 % (3381496)CaDiCaL version: 2.1.3
% 21.18/3.86 % (3381496)Termination reason: Instruction limit
% 21.18/3.86 % (3381496)Termination phase: Saturation
% 21.18/3.86 % (3381496)Time elapsed: 0.060 s
% 21.18/3.86 % (3381496)Peak memory usage: 89 MB
% 21.18/3.86 % (3381496)Instructions burned: 192 (million)
% 21.18/3.86 % (3381499)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=926817742:i=264:kws=precedence:fsr=off_2987 on theBenchmark for (2987ds/264Mi)
% 21.18/3.86 % (3381499)Instruction limit reached!
% 21.18/3.86 % (3381499)------------------------------
% 21.18/3.86 % (3381499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.18/3.86 % (3381499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/3.86 % (3381499)CaDiCaL version: 2.1.3
% 21.18/3.86 % (3381499)Termination reason: Instruction limit
% 21.18/3.86 % (3381499)Termination phase: Saturation
% 21.18/3.86 % (3381499)Time elapsed: 0.094 s
% 21.18/3.86 % (3381499)Peak memory usage: 91 MB
% 21.18/3.86 % (3381499)Instructions burned: 266 (million)
% 21.18/3.86 % (3381501)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1725915425:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 21.18/3.86 % (3381495)Instruction limit reached!
% 21.18/3.86 % (3381495)------------------------------
% 21.18/3.86 % (3381495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.18/3.86 % (3381495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/3.86 % (3381495)CaDiCaL version: 2.1.3
% 21.18/3.86 % (3381495)Termination reason: Instruction limit
% 21.18/3.86 % (3381495)Termination phase: Saturation
% 21.18/3.86 % (3381495)Time elapsed: 0.302 s
% 21.18/3.86 % (3381495)Peak memory usage: 94 MB
% 21.18/3.86 % (3381495)Instructions burned: 500 (million)
% 21.18/3.86 % (3381501)Instruction limit reached!
% 21.18/3.86 % (3381501)------------------------------
% 21.18/3.86 % (3381501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.18/3.86 % (3381501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/3.86 % (3381501)CaDiCaL version: 2.1.3
% 21.18/3.86 % (3381501)Termination reason: Instruction limit
% 21.18/3.86 % (3381501)Termination phase: Saturation
% 21.18/3.86 % (3381501)Time elapsed: 0.059 s
% 21.18/3.86 % (3381501)Peak memory usage: 89 MB
% 21.18/3.86 % (3381501)Instructions burned: 157 (million)
% 21.18/3.86 % (3381503)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=4044667822:i=3256:kws=precedence:bd=preordered:av=off_2984 on theBenchmark for (2984ds/3256Mi)
% 21.18/3.86 % (3381504)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=736754061:i=537:av=off:ss=included_2984 on theBenchmark for (2984ds/537Mi)
% 21.18/3.86 % (3381504)Refutation not found, incomplete strategy
% 21.18/3.86 % (3381504)------------------------------
% 21.18/3.86 % (3381504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.18/3.86 % (3381504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/3.86 % (3381504)CaDiCaL version: 2.1.3
% 21.18/3.86 % (3381504)Termination reason: Refutation not found, incomplete strategy
% 21.18/3.86 % (3381504)Time elapsed: 0.001 s
% 21.18/3.86 % (3381504)Peak memory usage: 87 MB
% 21.18/3.86 % (3381504)Instructions burned: 1 (million)
% 21.18/3.86 % (3381504)------------------------------
% 21.18/3.86 % (3381504)------------------------------
% 21.18/3.86 % (3381507)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=3225336332:i=180:bd=preordered:av=off_2982 on theBenchmark for (2982ds/180Mi)
% 21.18/3.86 % (3381507)Instruction limit reached!
% 21.18/3.86 % (3381507)------------------------------
% 21.18/3.86 % (3381507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.18/3.86 % (3381507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/3.86 % (3381507)CaDiCaL version: 2.1.3
% 21.18/3.86 % (3381507)Termination reason: Instruction limit
% 21.18/3.86 % (3381507)Termination phase: Saturation
% 21.18/3.86 % (3381507)Time elapsed: 0.111 s
% 21.18/3.86 % (3381507)Peak memory usage: 90 MB
% 21.18/3.86 % (3381507)Instructions burned: 180 (million)
% 21.18/3.86 % (3381509)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=643986926:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2979 on theBenchmark for (2979ds/10307Mi)
% 21.18/3.86 % (3381503)First to succeed.
% 21.18/3.86 % (3381503)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3381452"
% 21.18/3.86 % (3381482)Instruction limit reached!
% 21.18/3.86 % (3381482)------------------------------
% 21.18/3.86 % (3381482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.18/3.86 % (3381482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/3.86 % (3381482)CaDiCaL version: 2.1.3
% 21.18/3.86 % (3381482)Termination reason: Instruction limit
% 21.18/3.86 % (3381482)Termination phase: Saturation
% 21.18/3.86 % (3381482)Time elapsed: 2.124 s
% 21.18/3.86 % (3381482)Peak memory usage: 149 MB
% 21.18/3.86 % (3381482)Instructions burned: 3394 (million)
% 21.18/3.86 % (3381503)Refutation found. Thanks to Tanya!
% 21.18/3.86 % SZS status Unsatisfiable for theBenchmark
% 21.18/3.86 % SZS output start Proof for theBenchmark
% See solution above
% 21.85/4.06 % (3381503)------------------------------
% 21.85/4.06 % (3381503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.85/4.06 % (3381503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.85/4.06 % (3381503)CaDiCaL version: 2.1.3
% 21.85/4.06 % (3381503)Termination reason: Refutation
% 21.85/4.06 % (3381503)Time elapsed: 1.124 s
% 21.85/4.06 % (3381503)Peak memory usage: 136 MB
% 21.85/4.06 % (3381503)Instructions burned: 1774 (million)
% 21.85/4.06 % (3381503)------------------------------
% 21.85/4.06 % (3381503)------------------------------
% 21.85/4.06 % (3381452)Success in time 3.008 s
% 21.85/4.06 % Vampire exiting
%------------------------------------------------------------------------------