%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET399-6 : 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 : n013.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 12:40:55 PM UTC 2026
% Result : Unsatisfiable 13.37s 3.04s
% Output : Refutation 15.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 24
% Syntax : Number of formulae : 95 ( 28 unt; 0 def)
% Number of atoms : 191 ( 79 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 155 ( 59 ~; 96 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 17 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 3 con; 0-3 aty)
% Number of variables : 192 ( 192 !; 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(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(f29,axiom,
! [X2,X0,X1] : intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction2) ).
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(f43,axiom,
! [X0,X1] : range_of(restrict(X0,X1,universal_class)) = image(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image) ).
fof(f58,axiom,
! [X0,X1] : subclass(compose(X0,X1),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose1) ).
fof(f59,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),compose(X2,X3))
| member(X1,image(X2,image(X3,singleton(X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose2) ).
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,
compose(null_class,x) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_left_compose_with_null_class_1) ).
fof(f123,plain,
null_class != compose(null_class,x),
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(f126,plain,
! [X0,X1] : image(X0,X1) = domain_of(domain_of(flip(cross_product(intersection(cross_product(X1,universal_class),X0),universal_class)))),
inference(definition_unfolding,[],[f43,f125,f29]) ).
fof(f136,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(f152,plain,
! [X0,X1] :
( null_class != intersection(cross_product(unordered_pair(X1,X1),universal_class),X0)
| ~ member(X1,domain_of(X0)) ),
inference(definition_unfolding,[],[f30,f29,f12]) ).
fof(f153,plain,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = intersection(cross_product(X1,X2),X0),
inference(definition_unfolding,[],[f28,f29]) ).
fof(f154,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,f136]) ).
fof(f162,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,X3))
| member(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class),X2),universal_class))))) ),
inference(definition_unfolding,[],[f59,f136,f126,f126,f12]) ).
fof(f175,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,f136,f136,f136,f136]) ).
fof(f182,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,f136]) ).
fof(f208,plain,
! [X0,X1] :
( member(regular(X0),X1)
| ~ subclass(X0,X1)
| null_class = X0 ),
inference(resolution,[],[f1,f68]) ).
fof(f211,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X1),X2)
| ~ subclass(X0,X2)
| subclass(X0,X1) ),
inference(resolution,[],[f2,f1]) ).
fof(f216,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X0)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f21,f68]) ).
fof(f217,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f21,f2]) ).
fof(f219,plain,
! [X0,X1] :
( ~ member(X0,null_class)
| member(X0,X1)
| null_class = X1 ),
inference(superposition,[],[f21,f70]) ).
fof(f221,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f22,f2]) ).
fof(f225,plain,
! [X0,X1] :
( member(not_subclass_element(null_class,X0),X1)
| null_class = X1
| subclass(null_class,X0) ),
inference(resolution,[],[f219,f2]) ).
fof(f227,plain,
! [X0] :
( null_class = X0
| subclass(null_class,X0)
| subclass(null_class,X0) ),
inference(resolution,[],[f225,f3]) ).
fof(f232,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f227]) ).
fof(f233,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f232,f7]) ).
fof(f234,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f233]) ).
fof(f237,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f217,f3]) ).
fof(f243,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f237]) ).
fof(f251,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X1)
| subclass(intersection(X0,X1),X1) ),
inference(resolution,[],[f221,f3]) ).
fof(f258,plain,
! [X0,X1] : subclass(intersection(X0,X1),X1),
inference(duplicate_literal_removal,[],[f251]) ).
fof(f260,plain,
! [X0] : null_class = intersection(X0,null_class),
inference(resolution,[],[f258,f234]) ).
fof(f276,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| subclass(X0,intersection(X1,X2)) ),
inference(resolution,[],[f23,f3]) ).
fof(f298,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f152,f260]) ).
fof(f299,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f298]) ).
fof(f301,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f299,f68]) ).
fof(f308,plain,
! [X0] : ~ member(X0,null_class),
inference(superposition,[],[f299,f301]) ).
fof(f340,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| subclass(X0,intersection(X1,X2))
| ~ subclass(X0,X2)
| subclass(X0,intersection(X1,X2)) ),
inference(resolution,[],[f276,f211]) ).
fof(f347,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| subclass(X0,intersection(X1,X2))
| ~ subclass(X0,X2) ),
inference(duplicate_literal_removal,[],[f340]) ).
fof(f352,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1)
| subclass(X0,intersection(X0,X1)) ),
inference(resolution,[],[f347,f2]) ).
fof(f367,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f352]) ).
fof(f368,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(intersection(X0,X1),X0)
| intersection(X0,X1) = X0 ),
inference(resolution,[],[f367,f7]) ).
fof(f374,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| intersection(X0,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f368,f243]) ).
fof(f381,plain,
! [X0,X1] : compose(X0,X1) = intersection(compose(X0,X1),cross_product(universal_class,universal_class)),
inference(resolution,[],[f374,f58]) ).
fof(f382,plain,
! [X0,X1] : compose(X0,X1) = intersection(cross_product(universal_class,universal_class),compose(X0,X1)),
inference(forward_demodulation,[],[f381,f153]) ).
fof(f639,plain,
! [X0,X1] :
( member(regular(compose(X0,X1)),cross_product(universal_class,universal_class))
| null_class = compose(X0,X1) ),
inference(superposition,[],[f216,f382]) ).
fof(f780,plain,
! [X0,X1] :
( regular(compose(X0,X1)) = unordered_pair(unordered_pair(first(regular(compose(X0,X1))),first(regular(compose(X0,X1)))),unordered_pair(first(regular(compose(X0,X1))),unordered_pair(second(regular(compose(X0,X1))),second(regular(compose(X0,X1))))))
| null_class = compose(X0,X1) ),
inference(resolution,[],[f154,f639]) ).
fof(f781,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,[],[f154,f68]) ).
fof(f788,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,[],[f154,f208]) ).
fof(f845,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,[],[f182,f781]) ).
fof(f855,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,[],[f845,f68]) ).
fof(f858,plain,
! [X0,X1] :
( member(first(regular(cross_product(X0,X1))),X0)
| cross_product(X0,X1) = null_class ),
inference(duplicate_literal_removal,[],[f855]) ).
fof(f868,plain,
! [X0] : null_class = cross_product(null_class,X0),
inference(resolution,[],[f858,f308]) ).
fof(f1490,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,[],[f36,f788]) ).
fof(f1500,plain,
! [X2,X0,X1] :
( ~ member(regular(flip(X0)),cross_product(X1,X2))
| member(first(regular(flip(X0))),X1)
| null_class = flip(X0) ),
inference(superposition,[],[f182,f1490]) ).
fof(f1512,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,[],[f1500,f208]) ).
fof(f1515,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,[],[f1512]) ).
fof(f1516,plain,
! [X0] :
( member(first(regular(flip(X0))),cross_product(universal_class,universal_class))
| null_class = flip(X0) ),
inference(resolution,[],[f1515,f36]) ).
fof(f1519,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,[],[f1516,f154]) ).
fof(f1523,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,[],[f175,f1519]) ).
fof(f1563,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(null_class))
| null_class = flip(X0) ),
inference(resolution,[],[f1523,f308]) ).
fof(f1573,plain,
! [X0] :
( ~ member(regular(flip(X0)),flip(null_class))
| null_class = flip(X0)
| null_class = flip(X0) ),
inference(superposition,[],[f1563,f1490]) ).
fof(f1574,plain,
! [X0] :
( ~ member(regular(flip(X0)),flip(null_class))
| null_class = flip(X0) ),
inference(duplicate_literal_removal,[],[f1573]) ).
fof(f1575,plain,
( null_class = flip(null_class)
| null_class = flip(null_class) ),
inference(resolution,[],[f1574,f68]) ).
fof(f1578,plain,
null_class = flip(null_class),
inference(duplicate_literal_removal,[],[f1575]) ).
fof(f1724,plain,
! [X2,X3,X0,X1] :
( member(second(regular(compose(X0,X1))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(compose(X0,X1))),first(regular(compose(X0,X1)))),universal_class),X3),universal_class)))),universal_class),X2),universal_class)))))
| ~ member(regular(compose(X0,X1)),compose(X2,X3))
| null_class = compose(X0,X1) ),
inference(superposition,[],[f162,f780]) ).
fof(f2763,plain,
! [X2,X0,X1] :
( member(second(regular(compose(X0,X1))),domain_of(domain_of(flip(cross_product(null_class,universal_class)))))
| ~ member(regular(compose(X0,X1)),compose(null_class,X2))
| null_class = compose(X0,X1) ),
inference(superposition,[],[f1724,f260]) ).
fof(f2767,plain,
! [X2,X0,X1] :
( member(second(regular(compose(X0,X1))),domain_of(domain_of(flip(null_class))))
| ~ member(regular(compose(X0,X1)),compose(null_class,X2))
| null_class = compose(X0,X1) ),
inference(forward_demodulation,[],[f2763,f868]) ).
fof(f2771,plain,
! [X2,X0,X1] :
( member(second(regular(compose(X0,X1))),domain_of(domain_of(null_class)))
| ~ member(regular(compose(X0,X1)),compose(null_class,X2))
| null_class = compose(X0,X1) ),
inference(forward_demodulation,[],[f2767,f1578]) ).
fof(f2775,plain,
! [X2,X0,X1] :
( member(second(regular(compose(X0,X1))),domain_of(null_class))
| ~ member(regular(compose(X0,X1)),compose(null_class,X2))
| null_class = compose(X0,X1) ),
inference(forward_demodulation,[],[f2771,f301]) ).
fof(f2779,plain,
! [X2,X0,X1] :
( ~ member(regular(compose(X0,X1)),compose(null_class,X2))
| null_class = compose(X0,X1) ),
inference(forward_subsumption_resolution,[],[f2775,f299]) ).
fof(f2806,plain,
! [X0] :
( null_class = compose(null_class,X0)
| null_class = compose(null_class,X0) ),
inference(resolution,[],[f2779,f68]) ).
fof(f2813,plain,
! [X0] : null_class = compose(null_class,X0),
inference(duplicate_literal_removal,[],[f2806]) ).
fof(f2818,plain,
null_class != null_class,
inference(superposition,[],[f123,f2813]) ).
fof(f2828,plain,
$false,
inference(trivial_inequality_removal,[],[f2818]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET399-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n013.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 01:40:07 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 13.04/2.70 % (730735)Input is clausal, will run a generic CNF schedule.
% 13.04/2.70 % (730740)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=554416709:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 13.04/2.70 % (730746)dis-21_1_sil=8000:lcm=predicate:random_seed=122395080: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)
% 13.04/2.70 % (730742)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1170585700:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 13.04/2.70 % (730744)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4147456025:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 13.04/2.70 % (730743)lrs+10_1_sil=8000:sp=occurrence:random_seed=324217073:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 13.04/2.70 % (730741)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=473204893:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 13.04/2.70 % (730745)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1860885904:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 13.04/2.70 % (730743)Refutation not found, incomplete strategy
% 13.04/2.70 % (730743)------------------------------
% 13.04/2.70 % (730743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.04/2.70 % (730743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.04/2.70 % (730743)CaDiCaL version: 2.1.3
% 13.04/2.70 % (730743)Termination reason: Refutation not found, incomplete strategy
% 13.04/2.70 % (730743)Time elapsed: 0.002 s
% 13.04/2.70 % (730743)Peak memory usage: 87 MB
% 13.04/2.70 % (730744)Instruction limit reached!
% 13.04/2.70 % (730744)------------------------------
% 13.04/2.70 % (730744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.04/2.70 % (730744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.04/2.70 % (730744)CaDiCaL version: 2.1.3
% 13.04/2.70 % (730744)Termination reason: Instruction limit
% 13.04/2.70 % (730744)Termination phase: Saturation
% 13.04/2.70 % (730744)Time elapsed: 0.067 s
% 13.04/2.70 % (730744)Peak memory usage: 89 MB
% 13.04/2.70 % (730744)Instructions burned: 115 (million)
% 13.04/2.70 % (730746)Instruction limit reached!
% 13.04/2.70 % (730746)------------------------------
% 13.04/2.70 % (730746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.04/2.70 % (730746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.04/2.70 % (730746)CaDiCaL version: 2.1.3
% 13.04/2.70 % (730746)Termination reason: Instruction limit
% 13.04/2.70 % (730746)Termination phase: Saturation
% 13.04/2.70 % (730746)Time elapsed: 0.071 s
% 13.04/2.70 % (730746)Peak memory usage: 89 MB
% 13.04/2.70 % (730746)Instructions burned: 119 (million)
% 13.04/2.70 % (730745)Instruction limit reached!
% 13.04/2.70 % (730745)------------------------------
% 13.04/2.70 % (730745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.04/2.70 % (730745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.04/2.70 % (730745)CaDiCaL version: 2.1.3
% 13.04/2.70 % (730745)Termination reason: Instruction limit
% 13.04/2.70 % (730745)Termination phase: Saturation
% 13.04/2.70 % (730745)Time elapsed: 0.134 s
% 13.04/2.70 % (730745)Peak memory usage: 90 MB
% 13.04/2.70 % (730745)Instructions burned: 180 (million)
% 13.04/2.70 % (730754)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=1061711496:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 13.04/2.70 % (730754)Refutation not found, incomplete strategy
% 13.04/2.70 % (730754)------------------------------
% 13.04/2.70 % (730754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.04/2.70 % (730754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.04/2.70 % (730754)CaDiCaL version: 2.1.3
% 13.04/2.70 % (730754)Termination reason: Refutation not found, incomplete strategy
% 13.04/2.70 % (730754)Time elapsed: 0.003 s
% 13.04/2.70 % (730754)Peak memory usage: 88 MB
% 13.04/2.70 % (730754)Instructions burned: 2 (million)
% 13.04/2.70 % (730755)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2623729124: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)
% 14.64/3.04 % (730743)------------------------------
% 14.64/3.04 % (730743)------------------------------
% 14.64/3.04 % (730756)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3737699136:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 14.64/3.04 % (730756)Refutation not found, incomplete strategy
% 14.64/3.04 % (730756)------------------------------
% 14.64/3.04 % (730756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/3.04 % (730756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/3.04 % (730756)CaDiCaL version: 2.1.3
% 14.64/3.04 % (730756)Termination reason: Refutation not found, incomplete strategy
% 14.64/3.04 % (730756)Time elapsed: 0.003 s
% 14.64/3.04 % (730756)Peak memory usage: 88 MB
% 14.64/3.04 % (730756)Instructions burned: 3 (million)
% 14.64/3.04 % (730755)Instruction limit reached!
% 14.64/3.04 % (730755)------------------------------
% 14.64/3.04 % (730755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/3.04 % (730755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/3.04 % (730755)CaDiCaL version: 2.1.3
% 14.64/3.04 % (730755)Termination reason: Instruction limit
% 14.64/3.04 % (730755)Termination phase: Saturation
% 14.64/3.04 % (730755)Time elapsed: 0.108 s
% 14.64/3.04 % (730755)Peak memory usage: 91 MB
% 14.64/3.04 % (730755)Instructions burned: 190 (million)
% 14.64/3.04 % (730759)lrs+10_64_to=lpo:sil=8000:random_seed=1563305424:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 14.64/3.04 % (730754)------------------------------
% 14.64/3.04 % (730754)------------------------------
% 14.64/3.04 % (730759)Instruction limit reached!
% 14.64/3.04 % (730759)------------------------------
% 14.64/3.04 % (730759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/3.04 % (730759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/3.04 % (730759)CaDiCaL version: 2.1.3
% 14.64/3.04 % (730759)Termination reason: Instruction limit
% 14.64/3.04 % (730759)Termination phase: Saturation
% 14.64/3.04 % (730759)Time elapsed: 0.081 s
% 14.64/3.04 % (730759)Peak memory usage: 89 MB
% 14.64/3.04 % (730759)Instructions burned: 127 (million)
% 14.64/3.04 % (730761)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2222449228:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 14.64/3.04 % (730756)------------------------------
% 14.64/3.04 % (730756)------------------------------
% 14.64/3.04 % (730763)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3270821848:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 14.64/3.04 % (730761)Instruction limit reached!
% 14.64/3.04 % (730761)------------------------------
% 14.64/3.04 % (730761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/3.04 % (730761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/3.04 % (730761)CaDiCaL version: 2.1.3
% 14.64/3.04 % (730761)Termination reason: Instruction limit
% 14.64/3.04 % (730761)Termination phase: Saturation
% 14.64/3.04 % (730761)Time elapsed: 0.122 s
% 14.64/3.04 % (730761)Peak memory usage: 89 MB
% 14.64/3.04 % (730761)Instructions burned: 195 (million)
% 14.64/3.04 % (730764)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=412154416:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 14.64/3.04 % (730766)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=4185144571:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 14.64/3.04 % (730763)Instruction limit reached!
% 14.64/3.04 % (730763)------------------------------
% 14.64/3.04 % (730763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/3.04 % (730763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/3.04 % (730763)CaDiCaL version: 2.1.3
% 14.64/3.04 % (730763)Termination reason: Instruction limit
% 14.64/3.04 % (730763)Termination phase: Saturation
% 14.64/3.04 % (730763)Time elapsed: 0.106 s
% 14.64/3.04 % (730763)Peak memory usage: 91 MB
% 14.64/3.04 % (730763)Instructions burned: 157 (million)
% 14.64/3.04 % (730766)Instruction limit reached!
% 14.64/3.04 % (730766)------------------------------
% 14.64/3.04 % (730766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/3.04 % (730766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/3.04 % (730766)CaDiCaL version: 2.1.3
% 14.64/3.04 % (730766)Termination reason: Instruction limit
% 14.64/3.04 % (730766)Termination phase: Saturation
% 14.64/3.04 % (730766)Time elapsed: 0.063 s
% 14.64/3.04 % (730766)Peak memory usage: 89 MB
% 14.64/3.04 % (730766)Instructions burned: 106 (million)
% 14.64/3.04 % (730768)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1128019878:i=107_2991 on theBenchmark for (2991ds/107Mi)
% 14.64/3.04 % (730768)Refutation not found, incomplete strategy
% 14.64/3.04 % (730768)------------------------------
% 14.64/3.04 % (730768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/3.04 % (730768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/3.04 % (730768)CaDiCaL version: 2.1.3
% 14.64/3.04 % (730768)Termination reason: Refutation not found, incomplete strategy
% 14.64/3.04 % (730768)Time elapsed: 0.005 s
% 14.64/3.04 % (730768)Peak memory usage: 88 MB
% 14.64/3.04 % (730768)Instructions burned: 8 (million)
% 14.64/3.04 % (730771)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1257906505:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 14.64/3.04 % (730772)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2470800574:cond=fast:i=5208:av=off_2990 on theBenchmark for (2990ds/5208Mi)
% 14.64/3.04 % (730768)------------------------------
% 14.64/3.04 % (730768)------------------------------
% 14.64/3.04 % (730771)Instruction limit reached!
% 14.64/3.04 % (730771)------------------------------
% 14.64/3.04 % (730771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/3.04 % (730771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/3.04 % (730771)CaDiCaL version: 2.1.3
% 14.64/3.04 % (730771)Termination reason: Instruction limit
% 14.64/3.04 % (730771)Termination phase: Saturation
% 14.64/3.04 % (730771)Time elapsed: 0.159 s
% 14.64/3.04 % (730771)Peak memory usage: 90 MB
% 14.64/3.04 % (730771)Instructions burned: 243 (million)
% 14.64/3.04 % (730776)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=714592297:i=134:sd=2:doe=on:ss=axioms:sgt=14_2987 on theBenchmark for (2987ds/134Mi)
% 14.64/3.04 % (730777)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2227927840:i=499:bd=all_2987 on theBenchmark for (2987ds/499Mi)
% 14.64/3.04 % (730776)Instruction limit reached!
% 14.64/3.04 % (730776)------------------------------
% 14.64/3.04 % (730776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/3.04 % (730776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/3.04 % (730776)CaDiCaL version: 2.1.3
% 14.64/3.04 % (730776)Termination reason: Instruction limit
% 14.64/3.04 % (730776)Termination phase: Saturation
% 14.64/3.04 % (730776)Time elapsed: 0.099 s
% 14.64/3.04 % (730776)Peak memory usage: 90 MB
% 14.64/3.04 % (730776)Instructions burned: 135 (million)
% 14.64/3.04 % (730780)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3803334435:i=191:fgj=on:bd=all_2985 on theBenchmark for (2985ds/191Mi)
% 14.64/3.04 % (730777)Instruction limit reached!
% 14.64/3.04 % (730777)------------------------------
% 14.64/3.04 % (730777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/3.04 % (730777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/3.04 % (730777)CaDiCaL version: 2.1.3
% 14.64/3.04 % (730777)Termination reason: Instruction limit
% 14.64/3.04 % (730777)Termination phase: Saturation
% 14.64/3.04 % (730777)Time elapsed: 0.295 s
% 14.64/3.04 % (730777)Peak memory usage: 92 MB
% 14.64/3.04 % (730777)Instructions burned: 500 (million)
% 14.64/3.04 % (730780)Instruction limit reached!
% 14.64/3.04 % (730780)------------------------------
% 14.64/3.04 % (730780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/3.04 % (730780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/3.04 % (730780)CaDiCaL version: 2.1.3
% 14.64/3.04 % (730780)Termination reason: Instruction limit
% 14.64/3.04 % (730780)Termination phase: Saturation
% 14.64/3.04 % (730780)Time elapsed: 0.110 s
% 14.64/3.04 % (730780)Peak memory usage: 89 MB
% 14.64/3.04 % (730780)Instructions burned: 193 (million)
% 14.64/3.04 % (730782)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=474365495:i=264:kws=precedence:fsr=off_2983 on theBenchmark for (2983ds/264Mi)
% 14.64/3.04 % (730764)First to succeed.
% 14.64/3.04 % (730783)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3658211577:cond=on:i=156:bs=on:gtg=exists_all:er=known_2982 on theBenchmark for (2982ds/156Mi)
% 14.64/3.04 % (730764)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-730735"
% 14.64/3.04 % (730783)Instruction limit reached!
% 14.64/3.04 % (730783)------------------------------
% 14.64/3.04 % (730783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/3.04 % (730783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/3.04 % (730783)CaDiCaL version: 2.1.3
% 14.64/3.04 % (730783)Termination reason: Instruction limit
% 14.64/3.04 % (730783)Termination phase: Saturation
% 14.64/3.04 % (730783)Time elapsed: 0.107 s
% 14.64/3.04 % (730783)Peak memory usage: 89 MB
% 14.64/3.04 % (730783)Instructions burned: 156 (million)
% 14.64/3.04 % (730782)Instruction limit reached!
% 14.64/3.04 % (730782)------------------------------
% 14.64/3.04 % (730782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/3.04 % (730782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/3.04 % (730782)CaDiCaL version: 2.1.3
% 13.37/3.04 % (730782)Termination reason: Instruction limit
% 13.37/3.04 % (730782)Termination phase: Saturation
% 13.37/3.04 % (730782)Time elapsed: 0.168 s
% 13.37/3.04 % (730782)Peak memory usage: 92 MB
% 13.37/3.04 % (730782)Instructions burned: 265 (million)
% 13.37/3.04 % (730764)Refutation found. Thanks to Tanya!
% 13.37/3.04 % SZS status Unsatisfiable for theBenchmark
% 13.37/3.04 % SZS output start Proof for theBenchmark
% See solution above
% 15.85/3.23 % (730764)------------------------------
% 15.85/3.23 % (730764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.85/3.23 % (730764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.85/3.23 % (730764)CaDiCaL version: 2.1.3
% 15.85/3.23 % (730764)Termination reason: Refutation
% 15.85/3.23 % (730764)Time elapsed: 1.062 s
% 15.85/3.23 % (730764)Peak memory usage: 135 MB
% 15.85/3.23 % (730764)Instructions burned: 1618 (million)
% 15.85/3.23 % (730764)------------------------------
% 15.85/3.23 % (730764)------------------------------
% 15.85/3.23 % (730735)Success in time 2.159 s
% 15.85/3.23 % Vampire exiting
%------------------------------------------------------------------------------