%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET400-6 : 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 : n011.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 31.71s 5.45s
% Output : Refutation 32.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 24
% Syntax : Number of formulae : 102 ( 29 unt; 0 def)
% Number of atoms : 210 ( 86 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 173 ( 65 ~; 108 |; 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 : 211 ( 211 !; 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(x,null_class) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_right_compose_with_null_class_1) ).
fof(f123,plain,
null_class != compose(x,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(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(f245,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f243,f234]) ).
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(f2759,plain,
! [X2,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(null_class,universal_class)))),universal_class),X2),universal_class)))))
| ~ member(regular(compose(X0,X1)),compose(X2,null_class))
| null_class = compose(X0,X1) ),
inference(superposition,[],[f1724,f260]) ).
fof(f2769,plain,
! [X2,X0,X1] :
( member(second(regular(compose(X0,X1))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(null_class))),universal_class),X2),universal_class)))))
| ~ member(regular(compose(X0,X1)),compose(X2,null_class))
| null_class = compose(X0,X1) ),
inference(forward_demodulation,[],[f2759,f868]) ).
fof(f2773,plain,
! [X2,X0,X1] :
( member(second(regular(compose(X0,X1))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(null_class)),universal_class),X2),universal_class)))))
| ~ member(regular(compose(X0,X1)),compose(X2,null_class))
| null_class = compose(X0,X1) ),
inference(forward_demodulation,[],[f2769,f1578]) ).
fof(f2777,plain,
! [X2,X0,X1] :
( member(second(regular(compose(X0,X1))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(null_class),universal_class),X2),universal_class)))))
| ~ member(regular(compose(X0,X1)),compose(X2,null_class))
| null_class = compose(X0,X1) ),
inference(forward_demodulation,[],[f2773,f301]) ).
fof(f2781,plain,
! [X2,X0,X1] :
( member(second(regular(compose(X0,X1))),domain_of(domain_of(flip(cross_product(intersection(cross_product(null_class,universal_class),X2),universal_class)))))
| ~ member(regular(compose(X0,X1)),compose(X2,null_class))
| null_class = compose(X0,X1) ),
inference(forward_demodulation,[],[f2777,f301]) ).
fof(f2783,plain,
! [X2,X0,X1] :
( member(second(regular(compose(X0,X1))),domain_of(domain_of(flip(cross_product(intersection(null_class,X2),universal_class)))))
| ~ member(regular(compose(X0,X1)),compose(X2,null_class))
| null_class = compose(X0,X1) ),
inference(forward_demodulation,[],[f2781,f868]) ).
fof(f2785,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(X2,null_class))
| null_class = compose(X0,X1) ),
inference(forward_demodulation,[],[f2783,f245]) ).
fof(f2787,plain,
! [X2,X0,X1] :
( member(second(regular(compose(X0,X1))),domain_of(domain_of(flip(null_class))))
| ~ member(regular(compose(X0,X1)),compose(X2,null_class))
| null_class = compose(X0,X1) ),
inference(forward_demodulation,[],[f2785,f868]) ).
fof(f2789,plain,
! [X2,X0,X1] :
( member(second(regular(compose(X0,X1))),domain_of(domain_of(null_class)))
| ~ member(regular(compose(X0,X1)),compose(X2,null_class))
| null_class = compose(X0,X1) ),
inference(forward_demodulation,[],[f2787,f1578]) ).
fof(f2791,plain,
! [X2,X0,X1] :
( member(second(regular(compose(X0,X1))),domain_of(null_class))
| ~ member(regular(compose(X0,X1)),compose(X2,null_class))
| null_class = compose(X0,X1) ),
inference(forward_demodulation,[],[f2789,f301]) ).
fof(f2793,plain,
! [X2,X0,X1] :
( ~ member(regular(compose(X0,X1)),compose(X2,null_class))
| null_class = compose(X0,X1) ),
inference(forward_subsumption_resolution,[],[f2791,f299]) ).
fof(f8379,plain,
! [X0] :
( null_class = compose(X0,null_class)
| null_class = compose(X0,null_class) ),
inference(resolution,[],[f2793,f68]) ).
fof(f8387,plain,
! [X0] : null_class = compose(X0,null_class),
inference(duplicate_literal_removal,[],[f8379]) ).
fof(f8393,plain,
null_class != null_class,
inference(superposition,[],[f123,f8387]) ).
fof(f8410,plain,
$false,
inference(trivial_inequality_removal,[],[f8393]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET400-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.40 % Computer : n011.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Mon Sep 28 01:40:31 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.44 Running first-order theorem proving
% 0.15/0.44 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
% 17.19/3.47 % (2942750)Input is clausal, will run a generic CNF schedule.
% 17.19/3.47 % (2942767)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3688140834:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 17.19/3.47 % (2942771)dis-21_1_sil=8000:lcm=predicate:random_seed=2539192388: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)
% 17.19/3.47 % (2942769)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3374993534:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 17.19/3.47 % (2942770)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2136715225:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 17.19/3.47 % (2942765)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=4219107941:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 17.19/3.47 % (2942766)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2294216415:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 17.19/3.47 % (2942768)lrs+10_1_sil=8000:sp=occurrence:random_seed=1878038321:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 17.19/3.47 % (2942768)Refutation not found, incomplete strategy
% 17.19/3.47 % (2942768)------------------------------
% 17.19/3.47 % (2942768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.19/3.47 % (2942768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/3.47 % (2942768)CaDiCaL version: 2.1.3
% 17.19/3.47 % (2942768)Termination reason: Refutation not found, incomplete strategy
% 17.19/3.47 % (2942768)Time elapsed: 0.002 s
% 17.19/3.47 % (2942768)Peak memory usage: 88 MB
% 17.19/3.47 % (2942769)Instruction limit reached!
% 17.19/3.47 % (2942769)------------------------------
% 17.19/3.47 % (2942769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.19/3.47 % (2942769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/3.47 % (2942769)CaDiCaL version: 2.1.3
% 17.19/3.47 % (2942769)Termination reason: Instruction limit
% 17.19/3.47 % (2942769)Termination phase: Saturation
% 17.19/3.47 % (2942769)Time elapsed: 0.111 s
% 17.19/3.47 % (2942769)Peak memory usage: 89 MB
% 17.19/3.47 % (2942769)Instructions burned: 114 (million)
% 17.19/3.47 % (2942771)Instruction limit reached!
% 17.19/3.47 % (2942771)------------------------------
% 17.19/3.47 % (2942771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.19/3.47 % (2942771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/3.47 % (2942771)CaDiCaL version: 2.1.3
% 17.19/3.47 % (2942771)Termination reason: Instruction limit
% 17.19/3.47 % (2942771)Termination phase: Saturation
% 17.19/3.47 % (2942771)Time elapsed: 0.117 s
% 17.19/3.47 % (2942771)Peak memory usage: 89 MB
% 17.19/3.47 % (2942771)Instructions burned: 117 (million)
% 17.19/3.47 % (2942770)Instruction limit reached!
% 17.19/3.47 % (2942770)------------------------------
% 17.19/3.47 % (2942770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.19/3.47 % (2942770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/3.47 % (2942770)CaDiCaL version: 2.1.3
% 17.19/3.47 % (2942770)Termination reason: Instruction limit
% 17.19/3.47 % (2942770)Termination phase: Saturation
% 17.19/3.47 % (2942770)Time elapsed: 0.207 s
% 17.19/3.47 % (2942770)Peak memory usage: 91 MB
% 17.19/3.47 % (2942770)Instructions burned: 180 (million)
% 17.19/3.47 % (2942782)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=835349983: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)
% 17.19/3.47 % (2942781)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=3166158136:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 17.19/3.47 % (2942781)Refutation not found, incomplete strategy
% 17.19/3.47 % (2942781)------------------------------
% 17.19/3.47 % (2942781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.19/3.47 % (2942781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/3.47 % (2942781)CaDiCaL version: 2.1.3
% 17.19/3.47 % (2942781)Termination reason: Refutation not found, incomplete strategy
% 31.71/5.45 % (2942781)Time elapsed: 0.005 s
% 31.71/5.45 % (2942781)Peak memory usage: 88 MB
% 31.71/5.45 % (2942781)Instructions burned: 2 (million)
% 31.71/5.45 % (2942782)Instruction limit reached!
% 31.71/5.45 % (2942782)------------------------------
% 31.71/5.45 % (2942782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.71/5.45 % (2942782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.71/5.45 % (2942782)CaDiCaL version: 2.1.3
% 31.71/5.45 % (2942782)Termination reason: Instruction limit
% 31.71/5.45 % (2942782)Termination phase: Saturation
% 31.71/5.45 % (2942782)Time elapsed: 0.144 s
% 31.71/5.45 % (2942782)Peak memory usage: 91 MB
% 31.71/5.45 % (2942782)Instructions burned: 190 (million)
% 31.71/5.45 % (2942768)------------------------------
% 31.71/5.45 % (2942768)------------------------------
% 31.71/5.45 % (2942784)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=196377891:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 31.71/5.45 % (2942784)Refutation not found, incomplete strategy
% 31.71/5.45 % (2942784)------------------------------
% 31.71/5.45 % (2942784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.71/5.45 % (2942784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.71/5.45 % (2942784)CaDiCaL version: 2.1.3
% 31.71/5.45 % (2942784)Termination reason: Refutation not found, incomplete strategy
% 31.71/5.45 % (2942784)Time elapsed: 0.005 s
% 31.71/5.45 % (2942784)Peak memory usage: 88 MB
% 31.71/5.45 % (2942784)Instructions burned: 3 (million)
% 31.71/5.45 % (2942788)lrs+10_64_to=lpo:sil=8000:random_seed=3377736104:i=126:bd=preordered_2994 on theBenchmark for (2994ds/126Mi)
% 31.71/5.45 % (2942789)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3356090799:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 31.71/5.45 % (2942788)Instruction limit reached!
% 31.71/5.45 % (2942788)------------------------------
% 31.71/5.45 % (2942788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.71/5.45 % (2942788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.71/5.45 % (2942788)CaDiCaL version: 2.1.3
% 31.71/5.45 % (2942788)Termination reason: Instruction limit
% 31.71/5.45 % (2942788)Termination phase: Saturation
% 31.71/5.45 % (2942788)Time elapsed: 0.106 s
% 31.71/5.45 % (2942788)Peak memory usage: 89 MB
% 31.71/5.45 % (2942788)Instructions burned: 126 (million)
% 31.71/5.45 % (2942781)------------------------------
% 31.71/5.45 % (2942781)------------------------------
% 31.71/5.45 % (2942784)------------------------------
% 31.71/5.45 % (2942784)------------------------------
% 31.71/5.45 % (2942789)Instruction limit reached!
% 31.71/5.45 % (2942789)------------------------------
% 31.71/5.45 % (2942789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.71/5.45 % (2942789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.71/5.45 % (2942789)CaDiCaL version: 2.1.3
% 31.71/5.45 % (2942789)Termination reason: Instruction limit
% 31.71/5.45 % (2942789)Termination phase: Saturation
% 31.71/5.45 % (2942789)Time elapsed: 0.206 s
% 31.71/5.45 % (2942789)Peak memory usage: 90 MB
% 31.71/5.45 % (2942789)Instructions burned: 194 (million)
% 31.71/5.45 % (2942795)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=634053298:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 31.71/5.45 % (2942796)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1601957906:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 31.71/5.45 % (2942795)Instruction limit reached!
% 31.71/5.45 % (2942795)------------------------------
% 31.71/5.45 % (2942795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.71/5.45 % (2942795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.71/5.45 % (2942795)CaDiCaL version: 2.1.3
% 31.71/5.45 % (2942795)Termination reason: Instruction limit
% 31.71/5.45 % (2942795)Termination phase: Saturation
% 31.71/5.45 % (2942795)Time elapsed: 0.171 s
% 31.71/5.45 % (2942795)Peak memory usage: 91 MB
% 31.71/5.45 % (2942795)Instructions burned: 157 (million)
% 31.71/5.45 % (2942797)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=1563222085:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 31.71/5.45 % (2942798)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2094317883:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 31.71/5.45 % (2942798)Refutation not found, incomplete strategy
% 31.71/5.45 % (2942798)------------------------------
% 31.71/5.45 % (2942798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.71/5.45 % (2942798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.71/5.45 % (2942798)CaDiCaL version: 2.1.3
% 31.71/5.45 % (2942798)Termination reason: Refutation not found, incomplete strategy
% 31.71/5.45 % (2942798)Time elapsed: 0.009 s
% 31.71/5.45 % (2942798)Peak memory usage: 88 MB
% 31.71/5.45 % (2942798)Instructions burned: 8 (million)
% 31.71/5.45 % (2942797)Instruction limit reached!
% 31.71/5.45 % (2942797)------------------------------
% 31.71/5.45 % (2942797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.71/5.45 % (2942797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.71/5.45 % (2942797)CaDiCaL version: 2.1.3
% 31.71/5.45 % (2942797)Termination reason: Instruction limit
% 31.71/5.45 % (2942797)Termination phase: Saturation
% 31.71/5.45 % (2942797)Time elapsed: 0.108 s
% 31.71/5.45 % (2942797)Peak memory usage: 90 MB
% 31.71/5.45 % (2942797)Instructions burned: 106 (million)
% 31.71/5.45 % (2942801)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4174763321:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2987 on theBenchmark for (2987ds/242Mi)
% 31.71/5.45 % (2942804)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3042738700:cond=fast:i=5208:av=off_2986 on theBenchmark for (2986ds/5208Mi)
% 31.71/5.45 % (2942798)------------------------------
% 31.71/5.45 % (2942798)------------------------------
% 31.71/5.45 % (2942801)Instruction limit reached!
% 31.71/5.45 % (2942801)------------------------------
% 31.71/5.45 % (2942801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.71/5.45 % (2942801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.71/5.45 % (2942801)CaDiCaL version: 2.1.3
% 31.71/5.45 % (2942801)Termination reason: Instruction limit
% 31.71/5.45 % (2942801)Termination phase: Saturation
% 31.71/5.45 % (2942801)Time elapsed: 0.269 s
% 31.71/5.45 % (2942801)Peak memory usage: 91 MB
% 31.71/5.45 % (2942801)Instructions burned: 242 (million)
% 31.71/5.45 % (2942807)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=345705599:i=134:sd=2:doe=on:ss=axioms:sgt=14_2983 on theBenchmark for (2983ds/134Mi)
% 31.71/5.45 % (2942808)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1025946939:i=499:bd=all_2982 on theBenchmark for (2982ds/499Mi)
% 31.71/5.45 % (2942807)Instruction limit reached!
% 31.71/5.45 % (2942807)------------------------------
% 31.71/5.45 % (2942807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.71/5.45 % (2942807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.71/5.45 % (2942807)CaDiCaL version: 2.1.3
% 31.71/5.45 % (2942807)Termination reason: Instruction limit
% 31.71/5.45 % (2942807)Termination phase: Saturation
% 31.71/5.45 % (2942807)Time elapsed: 0.153 s
% 31.71/5.45 % (2942807)Peak memory usage: 90 MB
% 31.71/5.45 % (2942807)Instructions burned: 134 (million)
% 31.71/5.45 % (2942811)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=682845978:i=191:fgj=on:bd=all_2979 on theBenchmark for (2979ds/191Mi)
% 31.71/5.45 % (2942811)Instruction limit reached!
% 31.71/5.45 % (2942811)------------------------------
% 31.71/5.45 % (2942811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.71/5.45 % (2942811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.71/5.45 % (2942811)CaDiCaL version: 2.1.3
% 31.71/5.45 % (2942811)Termination reason: Instruction limit
% 31.71/5.45 % (2942811)Termination phase: Saturation
% 31.71/5.45 % (2942811)Time elapsed: 0.178 s
% 31.71/5.45 % (2942811)Peak memory usage: 89 MB
% 31.71/5.45 % (2942811)Instructions burned: 191 (million)
% 31.71/5.45 % (2942808)Instruction limit reached!
% 31.71/5.45 % (2942808)------------------------------
% 31.71/5.45 % (2942808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.71/5.45 % (2942808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.71/5.45 % (2942808)CaDiCaL version: 2.1.3
% 31.71/5.45 % (2942808)Termination reason: Instruction limit
% 31.71/5.45 % (2942808)Termination phase: Saturation
% 31.71/5.45 % (2942808)Time elapsed: 0.514 s
% 31.71/5.45 % (2942808)Peak memory usage: 92 MB
% 31.71/5.45 % (2942808)Instructions burned: 499 (million)
% 31.71/5.45 % (2942815)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3191380882:i=264:kws=precedence:fsr=off_2976 on theBenchmark for (2976ds/264Mi)
% 31.71/5.45 % (2942816)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2023194270:cond=on:i=156:bs=on:gtg=exists_all:er=known_2975 on theBenchmark for (2975ds/156Mi)
% 31.71/5.45 % (2942815)Instruction limit reached!
% 31.71/5.45 % (2942815)------------------------------
% 31.71/5.45 % (2942815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.71/5.45 % (2942815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.71/5.45 % (2942815)CaDiCaL version: 2.1.3
% 31.71/5.45 % (2942815)Termination reason: Instruction limit
% 31.71/5.45 % (2942815)Termination phase: Saturation
% 31.71/5.45 % (2942815)Time elapsed: 0.264 s
% 31.71/5.45 % (2942815)Peak memory usage: 92 MB
% 31.71/5.45 % (2942815)Instructions burned: 265 (million)
% 31.71/5.45 % (2942816)Instruction limit reached!
% 31.71/5.45 % (2942816)------------------------------
% 31.71/5.45 % (2942816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.71/5.45 % (2942816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.71/5.45 % (2942816)CaDiCaL version: 2.1.3
% 31.71/5.45 % (2942816)Termination reason: Instruction limit
% 31.71/5.45 % (2942816)Termination phase: Saturation
% 31.71/5.45 % (2942816)Time elapsed: 0.188 s
% 31.71/5.45 % (2942816)Peak memory usage: 89 MB
% 31.71/5.45 % (2942816)Instructions burned: 156 (million)
% 31.71/5.45 % (2942822)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=320615990:i=537:av=off:ss=included_2971 on theBenchmark for (2971ds/537Mi)
% 31.71/5.45 % (2942821)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=90498753:i=3256:kws=precedence:bd=preordered:av=off_2971 on theBenchmark for (2971ds/3256Mi)
% 31.71/5.45 % (2942822)Refutation not found, incomplete strategy
% 31.71/5.45 % (2942822)------------------------------
% 31.71/5.45 % (2942822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.71/5.45 % (2942822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.71/5.45 % (2942822)CaDiCaL version: 2.1.3
% 31.71/5.45 % (2942822)Termination reason: Refutation not found, incomplete strategy
% 31.71/5.45 % (2942822)Time elapsed: 0.002 s
% 31.71/5.45 % (2942822)Peak memory usage: 88 MB
% 31.71/5.45 % (2942822)Instructions burned: 1 (million)
% 31.71/5.45 % (2942822)------------------------------
% 31.71/5.45 % (2942822)------------------------------
% 31.71/5.45 % (2942825)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=3812607200:i=180:bd=preordered:av=off_2964 on theBenchmark for (2964ds/180Mi)
% 31.71/5.45 % (2942825)Instruction limit reached!
% 31.71/5.45 % (2942825)------------------------------
% 31.71/5.45 % (2942825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.71/5.45 % (2942825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.71/5.45 % (2942825)CaDiCaL version: 2.1.3
% 31.71/5.45 % (2942825)Termination reason: Instruction limit
% 31.71/5.45 % (2942825)Termination phase: Saturation
% 31.71/5.45 % (2942825)Time elapsed: 0.162 s
% 31.71/5.45 % (2942825)Peak memory usage: 90 MB
% 31.71/5.45 % (2942825)Instructions burned: 180 (million)
% 31.71/5.45 % (2942796)First to succeed.
% 31.71/5.45 % (2942796)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2942750"
% 31.71/5.45 % (2942827)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=59874189:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2961 on theBenchmark for (2961ds/10307Mi)
% 31.71/5.45 % (2942796)Refutation found. Thanks to Tanya!
% 31.71/5.45 % SZS status Unsatisfiable for theBenchmark
% 31.71/5.45 % SZS output start Proof for theBenchmark
% See solution above
% 32.25/5.70 % (2942796)------------------------------
% 32.25/5.70 % (2942796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.25/5.70 % (2942796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.25/5.70 % (2942796)CaDiCaL version: 2.1.3
% 32.25/5.70 % (2942796)Termination reason: Refutation
% 32.25/5.70 % (2942796)Time elapsed: 2.858 s
% 32.25/5.70 % (2942796)Peak memory usage: 144 MB
% 32.25/5.70 % (2942796)Instructions burned: 2602 (million)
% 32.25/5.70 % (2942796)------------------------------
% 32.25/5.70 % (2942796)------------------------------
% 32.25/5.70 % (2942750)Success in time 4.441 s
% 32.25/5.70 % Vampire exiting
%------------------------------------------------------------------------------