%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET366-6 : 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 : n008.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 12:40:51 PM UTC 2026
% Result : Unsatisfiable 63.85s 9.87s
% Output : Refutation 65.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 37
% Syntax : Number of formulae : 132 ( 68 unt; 8 def)
% Number of atoms : 209 ( 72 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 144 ( 67 ~; 77 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 13 con; 0-3 aty)
% Number of variables : 142 ( 142 !; 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(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(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(f19,axiom,
! [X0,X1] :
( ~ member(ordered_pair(X0,X1),element_relation)
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_relation2) ).
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(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction1) ).
fof(f30,axiom,
! [X0,X1] :
( restrict(X0,singleton(X1),universal_class) != null_class
| ~ member(X1,domain_of(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f36,axiom,
! [X0] : subclass(flip(X0),cross_product(cross_product(universal_class,universal_class),universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',flip1) ).
fof(f37,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(ordered_pair(X0,X1),X2),flip(X3))
| member(ordered_pair(ordered_pair(X1,X0),X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',flip2) ).
fof(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f40,axiom,
! [X0] : domain_of(inverse(X0)) = range_of(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',range_of) ).
fof(f43,axiom,
! [X0,X1] : range_of(restrict(X0,X1,universal_class)) = image(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image) ).
fof(f48,axiom,
! [X0] :
( member(null_class,X0)
| ~ inductive(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inductive1) ).
fof(f51,axiom,
inductive(omega),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omega_is_inductive1) ).
fof(f56,axiom,
! [X0] : complement(image(element_relation,complement(X0))) = power_class(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',power_class_definition) ).
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,
~ member(null_class,power_class(x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_class_in_power_class_1) ).
fof(f124,plain,
! [X0] : range_of(X0) = domain_of(domain_of(flip(cross_product(X0,universal_class)))),
inference(definition_unfolding,[],[f40,f39]) ).
fof(f125,plain,
! [X0,X1] : image(X0,X1) = domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(X1,universal_class)),universal_class)))),
inference(definition_unfolding,[],[f43,f124,f28]) ).
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(f134,plain,
! [X0] : power_class(X0) = complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X0),universal_class)),universal_class))))),
inference(definition_unfolding,[],[f56,f125]) ).
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(f139,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,f127]) ).
fof(f140,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
| member(X0,X1) ),
inference(definition_unfolding,[],[f19,f127]) ).
fof(f143,plain,
! [X0,X1] :
( ~ member(X1,domain_of(X0))
| null_class != intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)) ),
inference(definition_unfolding,[],[f30,f28,f12]) ).
fof(f147,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,f127,f127,f127,f127]) ).
fof(f185,plain,
~ member(null_class,complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(x),universal_class)),universal_class)))))),
inference(definition_unfolding,[],[f122,f134]) ).
fof(f190,definition,
sF0 = complement(x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f191,plain,
complement(x) = sF0,
inference(reorient_equations,[],[f190]) ).
fof(f192,definition,
sF1 = cross_product(sF0,universal_class),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f193,plain,
cross_product(sF0,universal_class) = sF1,
inference(reorient_equations,[],[f192]) ).
fof(f194,definition,
sF2 = intersection(element_relation,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f195,plain,
intersection(element_relation,sF1) = sF2,
inference(reorient_equations,[],[f194]) ).
fof(f196,definition,
sF3 = cross_product(sF2,universal_class),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f197,plain,
cross_product(sF2,universal_class) = sF3,
inference(reorient_equations,[],[f196]) ).
fof(f198,definition,
sF4 = flip(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f199,plain,
flip(sF3) = sF4,
inference(reorient_equations,[],[f198]) ).
fof(f200,definition,
sF5 = domain_of(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f201,plain,
domain_of(sF4) = sF5,
inference(reorient_equations,[],[f200]) ).
fof(f202,definition,
sF6 = domain_of(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f203,plain,
domain_of(sF5) = sF6,
inference(reorient_equations,[],[f202]) ).
fof(f204,definition,
sF7 = complement(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f205,plain,
complement(sF6) = sF7,
inference(reorient_equations,[],[f204]) ).
fof(f206,plain,
~ member(null_class,sF7),
inference(definition_folding,[],[f185,f205,f203,f201,f199,f197,f195,f193,f191]) ).
fof(f210,plain,
! [X0] :
( member(X0,sF7)
| ~ member(X0,universal_class)
| member(X0,sF6) ),
inference(superposition,[],[f25,f205]) ).
fof(f213,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f68,f24]) ).
fof(f217,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X1),X2)
| ~ subclass(X0,X2)
| subclass(X0,X1) ),
inference(resolution,[],[f2,f1]) ).
fof(f220,plain,
( member(null_class,sF6)
| ~ member(null_class,universal_class) ),
inference(resolution,[],[f206,f210]) ).
fof(f233,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X1)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f22,f68]) ).
fof(f234,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f22,f2]) ).
fof(f246,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X0)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f21,f68]) ).
fof(f247,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f21,f2]) ).
fof(f250,plain,
! [X0] :
( ~ member(X0,sF2)
| member(X0,element_relation) ),
inference(superposition,[],[f21,f195]) ).
fof(f257,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
| subclass(X0,intersection(X1,X2)) ),
inference(resolution,[],[f23,f3]) ).
fof(f272,plain,
! [X0] :
( ~ member(X0,sF5)
| null_class != intersection(sF4,cross_product(unordered_pair(X0,X0),universal_class)) ),
inference(superposition,[],[f143,f201]) ).
fof(f273,plain,
! [X0] :
( ~ member(X0,sF6)
| null_class != intersection(sF5,cross_product(unordered_pair(X0,X0),universal_class)) ),
inference(superposition,[],[f143,f203]) ).
fof(f340,plain,
member(null_class,omega),
inference(unit_resulting_resolution,[],[f48,f51]) ).
fof(f355,plain,
member(null_class,universal_class),
inference(unit_resulting_resolution,[],[f1,f4,f340]) ).
fof(f394,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF3)
| member(X0,sF2) ),
inference(superposition,[],[f136,f197]) ).
fof(f427,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f247,f3]) ).
fof(f444,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f427]) ).
fof(f445,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X1)
| subclass(intersection(X0,X1),X1) ),
inference(resolution,[],[f234,f3]) ).
fof(f462,plain,
! [X0,X1] : subclass(intersection(X0,X1),X1),
inference(duplicate_literal_removal,[],[f445]) ).
fof(f470,plain,
( null_class != intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))
| ~ member(null_class,universal_class) ),
inference(resolution,[],[f273,f220]) ).
fof(f474,plain,
null_class != intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)),
inference(forward_subsumption_resolution,[],[f470,f355]) ).
fof(f520,plain,
member(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),sF5),
inference(unit_resulting_resolution,[],[f246,f474]) ).
fof(f665,plain,
null_class != intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)),
inference(resolution,[],[f272,f520]) ).
fof(f675,plain,
member(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class))),cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)),
inference(unit_resulting_resolution,[],[f233,f665]) ).
fof(f676,plain,
member(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class))),sF4),
inference(unit_resulting_resolution,[],[f246,f665]) ).
fof(f850,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f444,f70]) ).
fof(f853,plain,
subclass(null_class,intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class))),
inference(unit_resulting_resolution,[],[f850,f665]) ).
fof(f856,plain,
~ subclass(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)),null_class),
inference(unit_resulting_resolution,[],[f7,f665,f853]) ).
fof(f901,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
| subclass(X0,intersection(X1,X2))
| ~ subclass(X0,X1)
| subclass(X0,intersection(X1,X2)) ),
inference(resolution,[],[f257,f217]) ).
fof(f914,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
| subclass(X0,intersection(X1,X2))
| ~ subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f901]) ).
fof(f920,plain,
! [X0,X1] :
( subclass(X0,intersection(X1,X0))
| ~ subclass(X0,X1)
| subclass(X0,intersection(X1,X0)) ),
inference(resolution,[],[f914,f2]) ).
fof(f935,plain,
! [X0,X1] :
( subclass(X0,intersection(X1,X0))
| ~ subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f920]) ).
fof(f942,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(intersection(X1,X0),X0)
| intersection(X1,X0) = X0 ),
inference(resolution,[],[f935,f7]) ).
fof(f945,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| intersection(X1,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f942,f462]) ).
fof(f951,plain,
! [X0] : intersection(universal_class,X0) = X0,
inference(resolution,[],[f945,f4]) ).
fof(f1003,plain,
! [X0,X1] :
( ~ member(X1,X0)
| member(X1,universal_class) ),
inference(superposition,[],[f21,f951]) ).
fof(f1008,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(superposition,[],[f246,f951]) ).
fof(f1059,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f1008,f213]) ).
fof(f1065,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f1059]) ).
fof(f1072,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f24,f1065]) ).
fof(f1073,plain,
! [X0] : ~ member(X0,null_class),
inference(forward_subsumption_resolution,[],[f1072,f1003]) ).
fof(f1093,plain,
! [X0] : ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),element_relation),
inference(unit_resulting_resolution,[],[f140,f1073]) ).
fof(f1319,plain,
subclass(sF4,cross_product(cross_product(universal_class,universal_class),universal_class)),
inference(superposition,[],[f36,f199]) ).
fof(f2429,plain,
member(not_subclass_element(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)),null_class),sF4),
inference(unit_resulting_resolution,[],[f247,f856]) ).
fof(f3578,plain,
member(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class))),cross_product(cross_product(universal_class,universal_class),universal_class)),
inference(unit_resulting_resolution,[],[f1,f676,f1319]) ).
fof(f3579,plain,
member(not_subclass_element(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)),null_class),cross_product(cross_product(universal_class,universal_class),universal_class)),
inference(unit_resulting_resolution,[],[f1,f2429,f1319]) ).
fof(f4155,plain,
regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)))),first(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class))))),unordered_pair(first(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)))),unordered_pair(second(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)))),second(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class))))))),
inference(resolution,[],[f139,f3578]) ).
fof(f4160,plain,
! [X0,X1] :
( ~ member(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class))),cross_product(X0,X1))
| member(first(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)))),X0) ),
inference(superposition,[],[f136,f4155]) ).
fof(f4208,plain,
member(first(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)))),unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))))),
inference(resolution,[],[f4160,f675]) ).
fof(f4209,plain,
member(first(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)))),cross_product(universal_class,universal_class)),
inference(resolution,[],[f4160,f3578]) ).
fof(f4406,plain,
first(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)))) = unordered_pair(unordered_pair(first(first(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class))))),first(first(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)))))),unordered_pair(first(first(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class))))),unordered_pair(second(first(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class))))),second(first(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)))))))),
inference(resolution,[],[f4209,f139]) ).
fof(f4625,plain,
( regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))) = first(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class))))
| regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))) = first(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)))) ),
inference(resolution,[],[f4208,f8]) ).
fof(f4629,plain,
regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))) = first(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)))),
inference(duplicate_literal_removal,[],[f4625]) ).
fof(f4687,plain,
regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))) = unordered_pair(unordered_pair(first(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),first(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))))),unordered_pair(first(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),second(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))))))),
inference(backward_demodulation,[],[f4406,f4629]) ).
fof(f5079,plain,
! [X0,X1] :
( ~ member(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),cross_product(X0,X1))
| member(first(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),X0) ),
inference(superposition,[],[f136,f4687]) ).
fof(f5339,plain,
( member(first(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),unordered_pair(null_class,null_class))
| null_class = intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)) ),
inference(resolution,[],[f5079,f233]) ).
fof(f5344,plain,
member(first(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),unordered_pair(null_class,null_class)),
inference(forward_subsumption_resolution,[],[f5339,f474]) ).
fof(f8690,plain,
( null_class = first(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))))
| null_class = first(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))) ),
inference(resolution,[],[f5344,f8]) ).
fof(f8694,plain,
null_class = first(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),
inference(duplicate_literal_removal,[],[f8690]) ).
fof(f8695,plain,
regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))) = unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),second(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))))))),
inference(backward_demodulation,[],[f4687,f8694]) ).
fof(f11775,plain,
not_subclass_element(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)),null_class) = unordered_pair(unordered_pair(first(not_subclass_element(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)),null_class)),first(not_subclass_element(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)),null_class))),unordered_pair(first(not_subclass_element(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)),null_class)),unordered_pair(second(not_subclass_element(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)),null_class)),second(not_subclass_element(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)),null_class))))),
inference(resolution,[],[f3579,f139]) ).
fof(f11888,plain,
! [X0,X1] :
( ~ member(not_subclass_element(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)),null_class),cross_product(X0,X1))
| member(first(not_subclass_element(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)),null_class)),X0) ),
inference(superposition,[],[f136,f11775]) ).
fof(f11910,plain,
( member(first(not_subclass_element(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)),null_class)),unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))))
| subclass(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)),null_class) ),
inference(resolution,[],[f11888,f234]) ).
fof(f11917,plain,
member(first(not_subclass_element(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)),null_class)),unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))))),
inference(forward_subsumption_resolution,[],[f11910,f856]) ).
fof(f12573,plain,
( regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))) = first(not_subclass_element(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)),null_class))
| regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))) = first(not_subclass_element(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)),null_class)) ),
inference(resolution,[],[f11917,f8]) ).
fof(f12577,plain,
regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))) = first(not_subclass_element(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)),null_class)),
inference(duplicate_literal_removal,[],[f12573]) ).
fof(f12578,plain,
not_subclass_element(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)),null_class) = unordered_pair(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),unordered_pair(second(not_subclass_element(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)),null_class)),second(not_subclass_element(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)),null_class))))),
inference(backward_demodulation,[],[f11775,f12577]) ).
fof(f14983,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),second(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))))),unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),unordered_pair(null_class,null_class))),unordered_pair(unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),second(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))))),unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),unordered_pair(null_class,null_class)))),unordered_pair(unordered_pair(unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),second(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))))),unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),unordered_pair(null_class,null_class))),unordered_pair(X0,X0))),X1)
| ~ member(unordered_pair(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),unordered_pair(X0,X0))),flip(X1)) ),
inference(superposition,[],[f147,f8695]) ).
fof(f14995,plain,
! [X0] :
( ~ member(unordered_pair(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),unordered_pair(X0,X0))),flip(sF3))
| member(unordered_pair(unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),second(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))))),unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),unordered_pair(null_class,null_class))),sF2) ),
inference(resolution,[],[f14983,f394]) ).
fof(f15022,plain,
! [X0] :
( ~ member(unordered_pair(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),unordered_pair(X0,X0))),sF4)
| member(unordered_pair(unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),second(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))))),unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),unordered_pair(null_class,null_class))),sF2) ),
inference(forward_demodulation,[],[f14995,f199]) ).
fof(f15037,plain,
( ~ member(not_subclass_element(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),universal_class)),null_class),sF4)
| member(unordered_pair(unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),second(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))))),unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),unordered_pair(null_class,null_class))),sF2) ),
inference(superposition,[],[f15022,f12578]) ).
fof(f15038,plain,
member(unordered_pair(unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),second(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))))),unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),unordered_pair(null_class,null_class))),sF2),
inference(forward_subsumption_resolution,[],[f15037,f2429]) ).
fof(f15409,plain,
member(unordered_pair(unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),second(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class))))),unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(null_class,null_class),universal_class)))),unordered_pair(null_class,null_class))),element_relation),
inference(resolution,[],[f15038,f250]) ).
fof(f15414,plain,
$false,
inference(forward_subsumption_resolution,[],[f15409,f1093]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET366-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n008.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 01:35:40 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 7.14/1.86 % (1788995)Input is clausal, will run a generic CNF schedule.
% 7.14/1.86 % (1789005)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3815446125:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.14/1.86 % (1789001)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3634019660:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.14/1.86 % (1789002)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=162941999:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.14/1.86 % (1789006)dis-21_1_sil=8000:lcm=predicate:random_seed=2559021289: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)
% 7.14/1.86 % (1789003)lrs+10_1_sil=8000:sp=occurrence:random_seed=544116532:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.14/1.86 % (1789004)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=836029207:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.14/1.86 % (1789000)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=1324995974:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.14/1.86 % (1789006)Instruction limit reached!
% 7.14/1.86 % (1789006)------------------------------
% 7.14/1.86 % (1789006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.86 % (1789006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.86 % (1789006)CaDiCaL version: 2.1.3
% 7.14/1.86 % (1789006)Termination reason: Instruction limit
% 7.14/1.86 % (1789006)Termination phase: Saturation
% 7.14/1.86 % (1789006)Time elapsed: 0.065 s
% 7.14/1.86 % (1789006)Peak memory usage: 88 MB
% 7.14/1.86 % (1789006)Instructions burned: 118 (million)
% 7.14/1.86 % (1789003)Instruction limit reached!
% 7.14/1.86 % (1789003)------------------------------
% 7.14/1.86 % (1789003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.86 % (1789003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.86 % (1789003)CaDiCaL version: 2.1.3
% 7.14/1.86 % (1789003)Termination reason: Instruction limit
% 7.14/1.86 % (1789003)Termination phase: Saturation
% 7.14/1.86 % (1789003)Time elapsed: 0.067 s
% 7.14/1.86 % (1789003)Peak memory usage: 89 MB
% 7.14/1.86 % (1789003)Instructions burned: 107 (million)
% 7.14/1.86 % (1789004)Instruction limit reached!
% 7.14/1.86 % (1789004)------------------------------
% 7.14/1.86 % (1789004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.86 % (1789004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.86 % (1789004)CaDiCaL version: 2.1.3
% 7.14/1.86 % (1789004)Termination reason: Instruction limit
% 7.14/1.86 % (1789004)Termination phase: Saturation
% 7.14/1.86 % (1789004)Time elapsed: 0.067 s
% 7.14/1.86 % (1789004)Peak memory usage: 89 MB
% 7.14/1.86 % (1789004)Instructions burned: 115 (million)
% 7.14/1.86 % (1789005)Instruction limit reached!
% 7.14/1.86 % (1789005)------------------------------
% 7.14/1.86 % (1789005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.86 % (1789005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.86 % (1789005)CaDiCaL version: 2.1.3
% 7.14/1.86 % (1789005)Termination reason: Instruction limit
% 7.14/1.86 % (1789005)Termination phase: Saturation
% 7.14/1.86 % (1789005)Time elapsed: 0.131 s
% 7.14/1.86 % (1789005)Peak memory usage: 90 MB
% 7.14/1.86 % (1789005)Instructions burned: 180 (million)
% 7.14/1.86 % (1789016)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1292441116:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.14/1.86 % (1789014)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=3568400613:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 7.14/1.86 % (1789015)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=379552346: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)
% 7.14/1.86 % (1789014)Refutation not found, incomplete strategy
% 7.14/1.86 % (1789014)------------------------------
% 7.14/1.86 % (1789014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.04/3.38 % (1789014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.04/3.38 % (1789014)CaDiCaL version: 2.1.3
% 19.04/3.38 % (1789014)Termination reason: Refutation not found, incomplete strategy
% 19.04/3.38 % (1789014)Time elapsed: 0.003 s
% 19.04/3.38 % (1789014)Peak memory usage: 88 MB
% 19.04/3.38 % (1789014)Instructions burned: 3 (million)
% 19.04/3.38 % (1789016)Refutation not found, incomplete strategy
% 19.04/3.38 % (1789016)------------------------------
% 19.04/3.38 % (1789016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.04/3.38 % (1789016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.04/3.38 % (1789016)CaDiCaL version: 2.1.3
% 19.04/3.38 % (1789016)Termination reason: Refutation not found, incomplete strategy
% 19.04/3.38 % (1789016)Time elapsed: 0.015 s
% 19.04/3.38 % (1789016)Peak memory usage: 88 MB
% 19.04/3.38 % (1789016)Instructions burned: 22 (million)
% 19.04/3.38 % (1789017)lrs+10_64_to=lpo:sil=8000:random_seed=2227765196:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 19.04/3.38 % (1789017)Instruction limit reached!
% 19.04/3.38 % (1789017)------------------------------
% 19.04/3.38 % (1789017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.04/3.38 % (1789017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.04/3.38 % (1789017)CaDiCaL version: 2.1.3
% 19.04/3.38 % (1789017)Termination reason: Instruction limit
% 19.04/3.38 % (1789017)Termination phase: Saturation
% 19.04/3.38 % (1789017)Time elapsed: 0.044 s
% 19.04/3.38 % (1789017)Peak memory usage: 89 MB
% 19.04/3.38 % (1789017)Instructions burned: 127 (million)
% 19.04/3.38 % (1789015)Instruction limit reached!
% 19.04/3.38 % (1789015)------------------------------
% 19.04/3.38 % (1789015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.04/3.38 % (1789015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.04/3.38 % (1789015)CaDiCaL version: 2.1.3
% 19.04/3.38 % (1789015)Termination reason: Instruction limit
% 19.04/3.38 % (1789015)Termination phase: Saturation
% 19.04/3.38 % (1789015)Time elapsed: 0.119 s
% 19.04/3.38 % (1789015)Peak memory usage: 91 MB
% 19.04/3.38 % (1789015)Instructions burned: 189 (million)
% 19.04/3.38 % (1789022)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1301489178:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 19.04/3.39 % (1789014)------------------------------
% 19.04/3.39 % (1789014)------------------------------
% 19.04/3.39 % (1789016)------------------------------
% 19.04/3.39 % (1789016)------------------------------
% 19.04/3.39 % (1789023)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1867119878:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 19.04/3.39 % (1789022)Instruction limit reached!
% 19.04/3.39 % (1789022)------------------------------
% 19.04/3.39 % (1789022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.04/3.39 % (1789022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.04/3.39 % (1789022)CaDiCaL version: 2.1.3
% 19.04/3.39 % (1789022)Termination reason: Instruction limit
% 19.04/3.39 % (1789022)Termination phase: Saturation
% 19.04/3.39 % (1789022)Time elapsed: 0.066 s
% 19.04/3.39 % (1789022)Peak memory usage: 90 MB
% 19.04/3.39 % (1789022)Instructions burned: 195 (million)
% 19.04/3.39 % (1789028)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4003946471:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 19.04/3.39 % (1789028)Refutation not found, incomplete strategy
% 19.04/3.39 % (1789028)------------------------------
% 19.04/3.39 % (1789028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.04/3.39 % (1789028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.04/3.39 % (1789028)CaDiCaL version: 2.1.3
% 19.04/3.39 % (1789028)Termination reason: Refutation not found, incomplete strategy
% 19.04/3.39 % (1789028)Time elapsed: 0.003 s
% 19.04/3.39 % (1789028)Peak memory usage: 88 MB
% 19.04/3.39 % (1789028)Instructions burned: 9 (million)
% 19.04/3.39 % (1789023)Instruction limit reached!
% 19.04/3.39 % (1789023)------------------------------
% 19.04/3.39 % (1789023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.04/3.39 % (1789023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.04/3.39 % (1789023)CaDiCaL version: 2.1.3
% 19.04/3.39 % (1789023)Termination reason: Instruction limit
% 19.04/3.39 % (1789023)Termination phase: Saturation
% 19.04/3.39 % (1789023)Time elapsed: 0.111 s
% 30.34/5.01 % (1789023)Peak memory usage: 91 MB
% 30.34/5.01 % (1789023)Instructions burned: 158 (million)
% 30.34/5.01 % (1789026)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1156002928:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 30.34/5.01 % (1789027)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=1610872008:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 30.34/5.01 % (1789027)Instruction limit reached!
% 30.34/5.01 % (1789027)------------------------------
% 30.34/5.01 % (1789027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.34/5.01 % (1789027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.34/5.01 % (1789027)CaDiCaL version: 2.1.3
% 30.34/5.01 % (1789027)Termination reason: Instruction limit
% 30.34/5.01 % (1789027)Termination phase: Saturation
% 30.34/5.01 % (1789027)Time elapsed: 0.066 s
% 30.34/5.01 % (1789027)Peak memory usage: 90 MB
% 30.34/5.01 % (1789027)Instructions burned: 107 (million)
% 30.34/5.01 % (1789028)------------------------------
% 30.34/5.01 % (1789028)------------------------------
% 30.34/5.01 % (1789030)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=27903669:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 30.34/5.01 % (1789033)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1822274652:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 30.34/5.01 % (1789035)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=943563077:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 30.34/5.01 % (1789035)Instruction limit reached!
% 30.34/5.01 % (1789035)------------------------------
% 30.34/5.01 % (1789035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.34/5.01 % (1789035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.34/5.01 % (1789035)CaDiCaL version: 2.1.3
% 30.34/5.01 % (1789035)Termination reason: Instruction limit
% 30.34/5.01 % (1789035)Termination phase: Saturation
% 30.34/5.01 % (1789035)Time elapsed: 0.054 s
% 30.34/5.01 % (1789035)Peak memory usage: 90 MB
% 30.34/5.01 % (1789035)Instructions burned: 135 (million)
% 30.34/5.01 % (1789030)Instruction limit reached!
% 30.34/5.01 % (1789030)------------------------------
% 30.34/5.01 % (1789030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.34/5.01 % (1789030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.34/5.01 % (1789030)CaDiCaL version: 2.1.3
% 30.34/5.01 % (1789030)Termination reason: Instruction limit
% 30.34/5.01 % (1789030)Termination phase: Saturation
% 30.34/5.01 % (1789030)Time elapsed: 0.160 s
% 30.34/5.01 % (1789030)Peak memory usage: 91 MB
% 30.34/5.01 % (1789030)Instructions burned: 243 (million)
% 30.34/5.01 % (1789038)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1231310749:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 30.34/5.01 % (1789039)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2585633954:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 30.34/5.01 % (1789038)Instruction limit reached!
% 30.34/5.01 % (1789038)------------------------------
% 30.34/5.01 % (1789038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.34/5.01 % (1789038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.34/5.01 % (1789038)CaDiCaL version: 2.1.3
% 30.34/5.01 % (1789038)Termination reason: Instruction limit
% 30.34/5.01 % (1789038)Termination phase: Saturation
% 30.34/5.01 % (1789038)Time elapsed: 0.164 s
% 30.34/5.01 % (1789038)Peak memory usage: 93 MB
% 30.34/5.01 % (1789038)Instructions burned: 501 (million)
% 30.34/5.01 % (1789039)Instruction limit reached!
% 30.34/5.01 % (1789039)------------------------------
% 30.34/5.01 % (1789039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.34/5.01 % (1789039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.34/5.01 % (1789039)CaDiCaL version: 2.1.3
% 30.34/5.01 % (1789039)Termination reason: Instruction limit
% 30.34/5.01 % (1789039)Termination phase: Saturation
% 30.34/5.01 % (1789039)Time elapsed: 0.112 s
% 30.34/5.01 % (1789039)Peak memory usage: 89 MB
% 30.34/5.01 % (1789039)Instructions burned: 192 (million)
% 45.60/7.11 % (1789042)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=606305362:i=264:kws=precedence:fsr=off_2987 on theBenchmark for (2987ds/264Mi)
% 45.60/7.11 % (1789043)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3855811035:cond=on:i=156:bs=on:gtg=exists_all:er=known_2987 on theBenchmark for (2987ds/156Mi)
% 45.60/7.11 % (1789042)Instruction limit reached!
% 45.60/7.11 % (1789042)------------------------------
% 45.60/7.11 % (1789042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.60/7.11 % (1789042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.60/7.11 % (1789042)CaDiCaL version: 2.1.3
% 45.60/7.11 % (1789042)Termination reason: Instruction limit
% 45.60/7.11 % (1789042)Termination phase: Saturation
% 45.60/7.11 % (1789042)Time elapsed: 0.093 s
% 45.60/7.11 % (1789042)Peak memory usage: 91 MB
% 45.60/7.11 % (1789042)Instructions burned: 266 (million)
% 45.60/7.11 % (1789043)Instruction limit reached!
% 45.60/7.11 % (1789043)------------------------------
% 45.60/7.11 % (1789043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.60/7.11 % (1789043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.60/7.11 % (1789043)CaDiCaL version: 2.1.3
% 45.60/7.11 % (1789043)Termination reason: Instruction limit
% 45.60/7.11 % (1789043)Termination phase: Saturation
% 45.60/7.11 % (1789043)Time elapsed: 0.090 s
% 45.60/7.11 % (1789043)Peak memory usage: 89 MB
% 45.60/7.11 % (1789043)Instructions burned: 158 (million)
% 45.60/7.11 % (1789046)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=1528798333:i=3256:kws=precedence:bd=preordered:av=off_2985 on theBenchmark for (2985ds/3256Mi)
% 45.60/7.11 % (1789047)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2582904182:i=537:av=off:ss=included_2985 on theBenchmark for (2985ds/537Mi)
% 45.60/7.11 % (1789047)Instruction limit reached!
% 45.60/7.11 % (1789047)------------------------------
% 45.60/7.11 % (1789047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.60/7.11 % (1789047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.60/7.11 % (1789047)CaDiCaL version: 2.1.3
% 45.60/7.11 % (1789047)Termination reason: Instruction limit
% 45.60/7.11 % (1789047)Termination phase: Saturation
% 45.60/7.11 % (1789047)Time elapsed: 0.189 s
% 45.60/7.11 % (1789047)Peak memory usage: 87 MB
% 45.60/7.11 % (1789047)Instructions burned: 539 (million)
% 45.60/7.11 % (1789050)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=3869370832:i=180:bd=preordered:av=off_2981 on theBenchmark for (2981ds/180Mi)
% 45.60/7.11 % (1789050)Instruction limit reached!
% 45.60/7.11 % (1789050)------------------------------
% 45.60/7.11 % (1789050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.60/7.11 % (1789050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.60/7.11 % (1789050)CaDiCaL version: 2.1.3
% 45.60/7.11 % (1789050)Termination reason: Instruction limit
% 45.60/7.11 % (1789050)Termination phase: Saturation
% 45.60/7.11 % (1789050)Time elapsed: 0.093 s
% 45.60/7.11 % (1789050)Peak memory usage: 90 MB
% 45.60/7.11 % (1789050)Instructions burned: 180 (million)
% 45.60/7.11 % (1789052)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=3567899225:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2979 on theBenchmark for (2979ds/10307Mi)
% 45.60/7.11 % (1789046)Instruction limit reached!
% 45.60/7.11 % (1789046)------------------------------
% 45.60/7.11 % (1789046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.60/7.11 % (1789046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.60/7.11 % (1789046)CaDiCaL version: 2.1.3
% 45.60/7.11 % (1789046)Termination reason: Instruction limit
% 45.60/7.11 % (1789046)Termination phase: Saturation
% 45.60/7.11 % (1789046)Time elapsed: 1.080 s
% 45.60/7.11 % (1789046)Peak memory usage: 148 MB
% 45.60/7.11 % (1789046)Instructions burned: 3257 (million)
% 45.60/7.11 % (1789054)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=219599532:i=412:gtgl=4:gtg=exists_all_2974 on theBenchmark for (2974ds/412Mi)
% 45.60/7.11 % (1789054)Instruction limit reached!
% 45.60/7.11 % (1789054)------------------------------
% 45.60/7.11 % (1789054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.85/9.87 % (1789054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.85/9.87 % (1789054)CaDiCaL version: 2.1.3
% 63.85/9.87 % (1789054)Termination reason: Instruction limit
% 63.85/9.87 % (1789054)Termination phase: Saturation
% 63.85/9.87 % (1789054)Time elapsed: 0.097 s
% 63.85/9.87 % (1789054)Peak memory usage: 90 MB
% 63.85/9.87 % (1789054)Instructions burned: 416 (million)
% 63.85/9.87 % (1789056)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=2385548567:s2pl=no:i=8478:s2at=4:nm=6_2972 on theBenchmark for (2972ds/8478Mi)
% 63.85/9.87 % (1789026)Instruction limit reached!
% 63.85/9.87 % (1789026)------------------------------
% 63.85/9.87 % (1789026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.85/9.87 % (1789026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.85/9.87 % (1789026)CaDiCaL version: 2.1.3
% 63.85/9.87 % (1789026)Termination reason: Instruction limit
% 63.85/9.87 % (1789026)Termination phase: Saturation
% 63.85/9.87 % (1789026)Time elapsed: 2.164 s
% 63.85/9.87 % (1789026)Peak memory usage: 149 MB
% 63.85/9.87 % (1789026)Instructions burned: 3394 (million)
% 63.85/9.87 % (1789058)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=2499066301:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2971 on theBenchmark for (2971ds/303Mi)
% 63.85/9.87 % (1789058)Refutation not found, incomplete strategy
% 63.85/9.87 % (1789058)------------------------------
% 63.85/9.87 % (1789058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.85/9.87 % (1789058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.85/9.87 % (1789058)CaDiCaL version: 2.1.3
% 63.85/9.87 % (1789058)Termination reason: Refutation not found, incomplete strategy
% 63.85/9.87 % (1789058)Time elapsed: 0.001 s
% 63.85/9.87 % (1789058)Peak memory usage: 88 MB
% 63.85/9.87 % (1789058)Instructions burned: 1 (million)
% 63.85/9.87 % (1789058)------------------------------
% 63.85/9.87 % (1789058)------------------------------
% 63.85/9.87 % (1789060)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=903269225:st=4:i=720:sd=3:fsr=off:ss=axioms_2967 on theBenchmark for (2967ds/720Mi)
% 63.85/9.87 % (1789060)Instruction limit reached!
% 63.85/9.87 % (1789060)------------------------------
% 63.85/9.87 % (1789060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.85/9.87 % (1789060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.85/9.87 % (1789060)CaDiCaL version: 2.1.3
% 63.85/9.87 % (1789060)Termination reason: Instruction limit
% 63.85/9.87 % (1789060)Termination phase: Saturation
% 63.85/9.87 % (1789060)Time elapsed: 0.394 s
% 63.85/9.87 % (1789060)Peak memory usage: 98 MB
% 63.85/9.87 % (1789060)Instructions burned: 721 (million)
% 63.85/9.87 % (1789063)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=3906114819:i=598:bs=on:bd=preordered:av=off:ss=axioms_2962 on theBenchmark for (2962ds/598Mi)
% 63.85/9.87 % (1789033)Instruction limit reached!
% 63.85/9.87 % (1789033)------------------------------
% 63.85/9.87 % (1789033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.85/9.87 % (1789033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.85/9.87 % (1789033)CaDiCaL version: 2.1.3
% 63.85/9.87 % (1789033)Termination reason: Instruction limit
% 63.85/9.87 % (1789033)Termination phase: Saturation
% 63.85/9.87 % (1789033)Time elapsed: 3.218 s
% 63.85/9.87 % (1789033)Peak memory usage: 155 MB
% 63.85/9.87 % (1789033)Instructions burned: 5209 (million)
% 63.85/9.87 % (1789063)Instruction limit reached!
% 63.85/9.87 % (1789063)------------------------------
% 63.85/9.87 % (1789063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.85/9.87 % (1789063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.85/9.87 % (1789063)CaDiCaL version: 2.1.3
% 63.85/9.87 % (1789063)Termination reason: Instruction limit
% 63.85/9.87 % (1789063)Termination phase: Saturation
% 63.85/9.87 % (1789063)Time elapsed: 0.349 s
% 63.85/9.87 % (1789063)Peak memory usage: 91 MB
% 63.85/9.87 % (1789063)Instructions burned: 598 (million)
% 63.85/9.87 % (1789065)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=828604767:i=2989:sd=3:ss=axioms:sgt=60_2958 on theBenchmark for (2958ds/2989Mi)
% 63.85/9.87 % (1789066)dis+1011_1_ncem=casc2026/models/loop5.pt:sil=8000:tgt=full:npcc=on:bsd=on:sp=const_min:spb=goal_then_units:lcm=predicate:urr=ec_only:s2agt=16:random_seed=275414689:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2957 on theBenchmark for (2957ds/1997Mi)
% 63.85/9.87 % (1789056)Instruction limit reached!
% 63.85/9.87 % (1789056)------------------------------
% 63.85/9.87 % (1789056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.85/9.87 % (1789056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.85/9.87 % (1789056)CaDiCaL version: 2.1.3
% 63.85/9.87 % (1789056)Termination reason: Instruction limit
% 63.85/9.87 % (1789056)Termination phase: Saturation
% 63.85/9.87 % (1789056)Time elapsed: 2.419 s
% 63.85/9.87 % (1789056)Peak memory usage: 178 MB
% 63.85/9.87 % (1789056)Instructions burned: 8480 (million)
% 63.85/9.87 % (1789069)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:drc=off:sp=unary_frequency:urr=ec_only:fd=preordered:random_seed=3628816287:i=2088:bd=preordered:av=off_2947 on theBenchmark for (2947ds/2088Mi)
% 63.85/9.87 % (1789066)Instruction limit reached!
% 63.85/9.87 % (1789066)------------------------------
% 63.85/9.87 % (1789066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.85/9.87 % (1789066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.85/9.87 % (1789066)CaDiCaL version: 2.1.3
% 63.85/9.87 % (1789066)Termination reason: Instruction limit
% 63.85/9.87 % (1789066)Termination phase: Saturation
% 63.85/9.87 % (1789066)Time elapsed: 1.317 s
% 63.85/9.87 % (1789066)Peak memory usage: 137 MB
% 63.85/9.87 % (1789066)Instructions burned: 1997 (million)
% 63.85/9.87 % (1789071)lrs+1010_64:1_anc=all:to=lpo:sil=16000:fde=none:sp=const_frequency:urr=full:sac=on:random_seed=2038317004:i=1098:nicw=on_2942 on theBenchmark for (2942ds/1098Mi)
% 63.85/9.87 % (1789069)Instruction limit reached!
% 63.85/9.87 % (1789069)------------------------------
% 63.85/9.87 % (1789069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.85/9.87 % (1789069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.85/9.87 % (1789069)CaDiCaL version: 2.1.3
% 63.85/9.87 % (1789069)Termination reason: Instruction limit
% 63.85/9.87 % (1789069)Termination phase: Saturation
% 63.85/9.87 % (1789069)Time elapsed: 0.687 s
% 63.85/9.87 % (1789069)Peak memory usage: 137 MB
% 63.85/9.87 % (1789069)Instructions burned: 2092 (million)
% 63.85/9.87 % (1789065)Instruction limit reached!
% 63.85/9.87 % (1789065)------------------------------
% 63.85/9.87 % (1789065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.85/9.87 % (1789065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.85/9.87 % (1789065)CaDiCaL version: 2.1.3
% 63.85/9.87 % (1789065)Termination reason: Instruction limit
% 63.85/9.87 % (1789065)Termination phase: Saturation
% 63.85/9.87 % (1789065)Time elapsed: 1.834 s
% 63.85/9.87 % (1789065)Peak memory usage: 144 MB
% 63.85/9.87 % (1789065)Instructions burned: 2990 (million)
% 63.85/9.87 % (1789073)lrs-1011_32:1_to=lpo:sil=32000:tgt=ground:sos=on:spb=goal_then_units:acc=on:random_seed=1247096991:i=433:bd=preordered_2939 on theBenchmark for (2939ds/433Mi)
% 63.85/9.87 % (1789073)Instruction limit reached!
% 63.85/9.87 % (1789073)------------------------------
% 63.85/9.87 % (1789073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.85/9.87 % (1789073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.85/9.87 % (1789073)CaDiCaL version: 2.1.3
% 63.85/9.87 % (1789073)Termination reason: Instruction limit
% 63.85/9.87 % (1789073)Termination phase: Saturation
% 63.85/9.87 % (1789073)Time elapsed: 0.090 s
% 63.85/9.87 % (1789073)Peak memory usage: 89 MB
% 63.85/9.87 % (1789073)Instructions burned: 434 (million)
% 63.85/9.87 % (1789074)lrs+1002_1_ncem=casc2026/models/loop3.pt:sil=32000:npcc=on:prc=on:etr=on:spb=goal:flr=on:random_seed=3792451821:st=5.37:cond=on:i=2942:s2at=20:aac=none:fgj=on:bs=on:gtg=exists_sym:ss=axioms:er=filter:sgt=16_2938 on theBenchmark for (2938ds/2942Mi)
% 63.85/9.87 % (1789076)lrs+35_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=reverse_arity:urr=full:rp=on:br=off:random_seed=3321059334:i=6922:s2at=5:sd=3:bd=all:ss=axioms:er=known:sgt=32_2937 on theBenchmark for (2937ds/6922Mi)
% 63.85/9.87 % (1789071)Instruction limit reached!
% 63.85/9.87 % (1789071)------------------------------
% 63.85/9.87 % (1789071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.85/9.87 % (1789071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.85/9.87 % (1789071)CaDiCaL version: 2.1.3
% 63.85/9.87 % (1789071)Termination reason: Instruction limit
% 63.85/9.87 % (1789071)Termination phase: Saturation
% 63.85/9.87 % (1789071)Time elapsed: 0.652 s
% 63.85/9.87 % (1789071)Peak memory usage: 102 MB
% 63.85/9.87 % (1789071)Instructions burned: 1098 (million)
% 63.85/9.87 % (1789079)dis+10_5:1_sil=8000:tgt=full:plsq=on:plsqc=1:plsqr=32,1:urr=on:fd=off:nwc=0.5:br=off:slsqc=3:slsq=on:random_seed=2116699061:s2a=on:i=596:s2at=2.3:gtgl=5:gtg=all:sup=off_2934 on theBenchmark for (2934ds/596Mi)
% 63.85/9.87 % (1789079)Instruction limit reached!
% 63.85/9.87 % (1789079)------------------------------
% 63.85/9.87 % (1789079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.85/9.87 % (1789079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.85/9.87 % (1789079)CaDiCaL version: 2.1.3
% 63.85/9.87 % (1789079)Termination reason: Instruction limit
% 63.85/9.87 % (1789079)Termination phase: Saturation
% 63.85/9.87 % (1789079)Time elapsed: 0.322 s
% 63.85/9.87 % (1789079)Peak memory usage: 99 MB
% 63.85/9.87 % (1789079)Instructions burned: 597 (million)
% 63.85/9.87 % (1789081)lrs+21_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=non_intro:urr=on:fd=preordered:random_seed=1068912043:i=4123:kws=inv_frequency:bd=preordered:av=off:er=known_2930 on theBenchmark for (2930ds/4123Mi)
% 63.85/9.87 % (1789074)Instruction limit reached!
% 63.85/9.87 % (1789074)------------------------------
% 63.85/9.87 % (1789074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.85/9.87 % (1789074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.85/9.87 % (1789074)CaDiCaL version: 2.1.3
% 63.85/9.87 % (1789074)Termination reason: Instruction limit
% 63.85/9.87 % (1789074)Termination phase: Saturation
% 63.85/9.87 % (1789074)Time elapsed: 1.998 s
% 63.85/9.87 % (1789074)Peak memory usage: 141 MB
% 63.85/9.87 % (1789074)Instructions burned: 2943 (million)
% 63.85/9.87 % (1789083)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2325341396:i=16411:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2917 on theBenchmark for (2917ds/16411Mi)
% 63.85/9.87 % (1789052)Instruction limit reached!
% 63.85/9.87 % (1789052)------------------------------
% 63.85/9.87 % (1789052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.85/9.87 % (1789052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.85/9.87 % (1789052)CaDiCaL version: 2.1.3
% 63.85/9.87 % (1789052)Termination reason: Instruction limit
% 63.85/9.87 % (1789052)Termination phase: Saturation
% 63.85/9.87 % (1789052)Time elapsed: 6.365 s
% 63.85/9.87 % (1789052)Peak memory usage: 165 MB
% 63.85/9.87 % (1789052)Instructions burned: 10308 (million)
% 63.85/9.87 % (1789076)Instruction limit reached!
% 63.85/9.87 % (1789076)------------------------------
% 63.85/9.87 % (1789076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.85/9.87 % (1789076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.85/9.87 % (1789076)CaDiCaL version: 2.1.3
% 63.85/9.87 % (1789076)Termination reason: Instruction limit
% 63.85/9.87 % (1789076)Termination phase: Saturation
% 63.85/9.87 % (1789076)Time elapsed: 2.190 s
% 63.85/9.87 % (1789076)Peak memory usage: 187 MB
% 63.85/9.87 % (1789076)Instructions burned: 6926 (million)
% 63.85/9.87 % (1789086)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:prc=on:drc=off:fde=unused:sp=reverse_frequency:updr=off:random_seed=658334886:st=3:cond=fast:i=1722:sd=2:ss=included:fsd=on_2914 on theBenchmark for (2914ds/1722Mi)
% 63.85/9.87 % (1789085)lrs+0_1_ncem=casc2026/models/loop1.pt:sil=8000:tgt=full:npcc=on:sp=reverse_frequency:gs=on:random_seed=3582059137:i=1670:kws=inv_precedence:bd=all:av=off:gtg=exists_all_2914 on theBenchmark for (2914ds/1670Mi)
% 63.85/9.87 % (1789081)First to succeed.
% 63.85/9.87 % (1789081)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1788995"
% 63.85/9.87 % (1789081)Refutation found. Thanks to Tanya!
% 63.85/9.87 % SZS status Unsatisfiable for theBenchmark
% 63.85/9.87 % SZS output start Proof for theBenchmark
% See solution above
% 65.65/9.97 % (1789081)------------------------------
% 65.65/9.97 % (1789081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.65/9.97 % (1789081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.65/9.97 % (1789081)CaDiCaL version: 2.1.3
% 65.65/9.97 % (1789081)Termination reason: Refutation
% 65.65/9.97 % (1789081)Time elapsed: 1.869 s
% 65.65/9.97 % (1789081)Peak memory usage: 148 MB
% 65.65/9.97 % (1789081)Instructions burned: 3143 (million)
% 65.65/9.97 % (1789081)------------------------------
% 65.65/9.97 % (1789081)------------------------------
% 65.65/9.97 % (1788995)Success in time 9.257 s
% 65.65/9.97 % Vampire exiting
%------------------------------------------------------------------------------