%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM250-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 12:11:59 PM UTC 2026
% Result : Unsatisfiable 149.83s 22.47s
% Output : Refutation 151.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 26
% Syntax : Number of formulae : 90 ( 43 unt; 7 def)
% Number of atoms : 143 ( 46 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 101 ( 48 ~; 53 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 12 con; 0-3 aty)
% Number of variables : 110 ( 110 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',domain1) ).
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/sandbox/benchmark/theBenchmark.p',flip2) ).
fof(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f40,axiom,
! [X0] : domain_of(inverse(X0)) = range_of(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',range_of) ).
fof(f43,axiom,
! [X0,X1] : range_of(restrict(X0,X1,universal_class)) = image(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',image) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f108,axiom,
! [X0,X1] :
( ~ member(ordered_pair(X0,X1),domain_relation)
| domain_of(X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_of_domain_relation2) ).
fof(f165,axiom,
! [X0,X1] :
( ~ member(X0,recursion_equation_functions(X1))
| member(domain_of(X0),ordinal_numbers) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',recursion_equation_functions3) ).
fof(f176,negated_conjecture,
~ subclass(image(domain_relation,recursion_equation_functions(z)),ordinal_numbers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transfinite_recursion_property6_1) ).
fof(f177,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(f178,plain,
! [X0] : range_of(X0) = domain_of(domain_of(flip(cross_product(X0,universal_class)))),
inference(definition_unfolding,[],[f40,f39]) ).
fof(f181,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,f178,f28]) ).
fof(f194,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,f177]) ).
fof(f197,plain,
! [X2,X0,X1] :
( unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0
| ~ member(X0,cross_product(X1,X2)) ),
inference(definition_unfolding,[],[f17,f177]) ).
fof(f201,plain,
! [X0,X1] :
( null_class != intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
| ~ member(X1,domain_of(X0)) ),
inference(definition_unfolding,[],[f30,f28,f12]) ).
fof(f205,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,f177,f177,f177,f177]) ).
fof(f236,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),domain_relation)
| domain_of(X0) = X1 ),
inference(definition_unfolding,[],[f108,f177]) ).
fof(f267,plain,
~ subclass(domain_of(domain_of(flip(cross_product(intersection(domain_relation,cross_product(recursion_equation_functions(z),universal_class)),universal_class)))),ordinal_numbers),
inference(definition_unfolding,[],[f176,f181]) ).
fof(f274,definition,
sF0 = recursion_equation_functions(z),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f275,plain,
recursion_equation_functions(z) = sF0,
inference(reorient_equations,[],[f274]) ).
fof(f276,definition,
sF1 = cross_product(sF0,universal_class),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f277,plain,
cross_product(sF0,universal_class) = sF1,
inference(reorient_equations,[],[f276]) ).
fof(f278,definition,
sF2 = intersection(domain_relation,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f279,plain,
intersection(domain_relation,sF1) = sF2,
inference(reorient_equations,[],[f278]) ).
fof(f280,definition,
sF3 = cross_product(sF2,universal_class),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f281,plain,
cross_product(sF2,universal_class) = sF3,
inference(reorient_equations,[],[f280]) ).
fof(f282,definition,
sF4 = flip(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f283,plain,
flip(sF3) = sF4,
inference(reorient_equations,[],[f282]) ).
fof(f284,definition,
sF5 = domain_of(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f285,plain,
domain_of(sF4) = sF5,
inference(reorient_equations,[],[f284]) ).
fof(f286,definition,
sF6 = domain_of(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f287,plain,
domain_of(sF5) = sF6,
inference(reorient_equations,[],[f286]) ).
fof(f288,plain,
~ subclass(sF6,ordinal_numbers),
inference(definition_folding,[],[f267,f287,f285,f283,f281,f279,f277,f275]) ).
fof(f292,plain,
! [X0] :
( member(domain_of(X0),ordinal_numbers)
| ~ member(X0,sF0) ),
inference(superposition,[],[f165,f275]) ).
fof(f294,plain,
! [X0] :
( ~ member(X0,sF2)
| member(X0,sF1) ),
inference(superposition,[],[f22,f279]) ).
fof(f296,plain,
! [X0] :
( ~ member(X0,sF2)
| member(X0,domain_relation) ),
inference(superposition,[],[f21,f279]) ).
fof(f299,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF1)
| member(X0,sF0) ),
inference(superposition,[],[f194,f277]) ).
fof(f300,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF3)
| member(X0,sF2) ),
inference(superposition,[],[f194,f281]) ).
fof(f307,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X3,X4))
| member(first(X0),X2)
| ~ member(X0,cross_product(X2,X1)) ),
inference(superposition,[],[f194,f197]) ).
fof(f338,plain,
! [X2,X0,X1] :
( 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))),sF3)
| ~ 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))),sF4) ),
inference(superposition,[],[f205,f283]) ).
fof(f374,plain,
! [X2,X0,X1] :
( ~ 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))),sF4)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2) ),
inference(resolution,[],[f300,f338]) ).
fof(f377,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),sF2)
| ~ member(X0,cross_product(X2,X3)) ),
inference(superposition,[],[f374,f197]) ).
fof(f388,plain,
! [X0,X1] :
( intersection(X0,X1) = null_class
| member(regular(intersection(X0,X1)),X0) ),
inference(resolution,[],[f68,f21]) ).
fof(f389,plain,
! [X0,X1] :
( intersection(X0,X1) = null_class
| member(regular(intersection(X0,X1)),X1) ),
inference(resolution,[],[f68,f22]) ).
fof(f434,plain,
! [X0,X1] :
( null_class != null_class
| ~ member(X1,domain_of(X0))
| member(regular(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))),cross_product(unordered_pair(X1,X1),universal_class)) ),
inference(superposition,[],[f201,f389]) ).
fof(f435,plain,
! [X0,X1] :
( ~ member(X1,domain_of(X0))
| member(regular(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))),cross_product(unordered_pair(X1,X1),universal_class)) ),
inference(trivial_inequality_removal,[],[f434]) ).
fof(f439,plain,
! [X0] :
( ~ member(X0,sF6)
| member(regular(intersection(sF5,cross_product(unordered_pair(X0,X0),universal_class))),cross_product(unordered_pair(X0,X0),universal_class)) ),
inference(superposition,[],[f435,f287]) ).
fof(f440,plain,
! [X0] :
( ~ member(X0,sF5)
| member(regular(intersection(sF4,cross_product(unordered_pair(X0,X0),universal_class))),cross_product(unordered_pair(X0,X0),universal_class)) ),
inference(superposition,[],[f435,f285]) ).
fof(f441,plain,
! [X0] :
( subclass(sF6,X0)
| member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,X0),not_subclass_element(sF6,X0)),universal_class))),cross_product(unordered_pair(not_subclass_element(sF6,X0),not_subclass_element(sF6,X0)),universal_class)) ),
inference(resolution,[],[f439,f2]) ).
fof(f451,plain,
! [X0,X1] :
( null_class != null_class
| ~ member(X1,domain_of(X0))
| member(regular(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))),X0) ),
inference(superposition,[],[f201,f388]) ).
fof(f452,plain,
! [X0,X1] :
( ~ member(X1,domain_of(X0))
| member(regular(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))),X0) ),
inference(trivial_inequality_removal,[],[f451]) ).
fof(f456,plain,
! [X0] :
( ~ member(X0,sF6)
| member(regular(intersection(sF5,cross_product(unordered_pair(X0,X0),universal_class))),sF5) ),
inference(superposition,[],[f452,f287]) ).
fof(f457,plain,
! [X0] :
( ~ member(X0,sF5)
| member(regular(intersection(sF4,cross_product(unordered_pair(X0,X0),universal_class))),sF4) ),
inference(superposition,[],[f452,f285]) ).
fof(f458,plain,
! [X0] :
( subclass(sF6,X0)
| member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,X0),not_subclass_element(sF6,X0)),universal_class))),sF5) ),
inference(resolution,[],[f456,f2]) ).
fof(f464,plain,
member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))),sF5),
inference(resolution,[],[f458,f288]) ).
fof(f465,plain,
member(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),universal_class))),sF4),
inference(resolution,[],[f464,f457]) ).
fof(f466,plain,
member(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),universal_class))),cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),universal_class)),
inference(resolution,[],[f464,f440]) ).
fof(f482,plain,
! [X0,X1] :
( ~ member(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),universal_class))),cross_product(X0,X1))
| member(first(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),universal_class)))),X0) ),
inference(resolution,[],[f466,f307]) ).
fof(f493,plain,
member(first(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),universal_class)))),unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))))),
inference(resolution,[],[f482,f466]) ).
fof(f694,plain,
member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))),cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)),
inference(resolution,[],[f441,f288]) ).
fof(f696,plain,
! [X0,X1] :
( ~ member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))),cross_product(X0,X1))
| member(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),X0) ),
inference(resolution,[],[f694,f307]) ).
fof(f713,plain,
member(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers))),
inference(resolution,[],[f696,f694]) ).
fof(f999,plain,
( regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))) = first(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),universal_class))))
| regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))) = first(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),universal_class)))) ),
inference(resolution,[],[f8,f493]) ).
fof(f1000,plain,
( not_subclass_element(sF6,ordinal_numbers) = first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))))
| not_subclass_element(sF6,ordinal_numbers) = first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))) ),
inference(resolution,[],[f8,f713]) ).
fof(f1003,plain,
not_subclass_element(sF6,ordinal_numbers) = first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),
inference(duplicate_literal_removal,[],[f1000]) ).
fof(f1004,plain,
regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))) = first(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),universal_class)))),
inference(duplicate_literal_removal,[],[f999]) ).
fof(f1063,plain,
! [X0,X1] :
( ~ member(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),universal_class))),cross_product(X1,X0))
| regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),universal_class))) = unordered_pair(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))),unordered_pair(second(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),universal_class)))),second(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),universal_class))))))) ),
inference(superposition,[],[f197,f1004]) ).
fof(f1064,plain,
regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),universal_class))) = unordered_pair(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))),unordered_pair(second(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),universal_class)))),second(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),universal_class))))))),
inference(resolution,[],[f1063,f466]) ).
fof(f1091,plain,
! [X0,X1] :
( ~ member(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))),cross_product(X1,X0))
| member(unordered_pair(unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))))),unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),unordered_pair(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))))))),sF2)
| ~ member(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),universal_class))),sF4) ),
inference(superposition,[],[f377,f1064]) ).
fof(f1115,plain,
( ~ member(regular(intersection(sF4,cross_product(unordered_pair(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))),regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),universal_class))),sF4)
| member(unordered_pair(unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))))),unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),unordered_pair(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))))))),sF2) ),
inference(resolution,[],[f1091,f694]) ).
fof(f1121,plain,
member(unordered_pair(unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))))),unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),unordered_pair(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))))))),sF2),
inference(resolution,[],[f1115,f465]) ).
fof(f1128,plain,
member(unordered_pair(unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))))),unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),unordered_pair(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))))))),domain_relation),
inference(resolution,[],[f1121,f296]) ).
fof(f1129,plain,
member(unordered_pair(unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))))),unordered_pair(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),unordered_pair(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))))))),sF1),
inference(resolution,[],[f1121,f294]) ).
fof(f1156,plain,
member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),sF0),
inference(resolution,[],[f1129,f299]) ).
fof(f1798,plain,
first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))) = domain_of(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class))))),
inference(resolution,[],[f236,f1128]) ).
fof(f1816,plain,
( ~ member(second(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),sF0)
| member(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),ordinal_numbers) ),
inference(superposition,[],[f292,f1798]) ).
fof(f1824,plain,
member(first(regular(intersection(sF5,cross_product(unordered_pair(not_subclass_element(sF6,ordinal_numbers),not_subclass_element(sF6,ordinal_numbers)),universal_class)))),ordinal_numbers),
inference(resolution,[],[f1816,f1156]) ).
fof(f1834,plain,
member(not_subclass_element(sF6,ordinal_numbers),ordinal_numbers),
inference(superposition,[],[f1824,f1003]) ).
fof(f1835,plain,
$false,
inference(unit_resulting_resolution,[],[f3,f288,f1834]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM250-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 19:19:34 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.28/2.42 % (3349692)Input is clausal, will run a generic CNF schedule.
% 11.28/2.42 % (3349698)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3703252981:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.28/2.42 % (3349700)lrs+10_1_sil=8000:sp=occurrence:random_seed=3962210057:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.28/2.42 % (3349700)Refutation not found, incomplete strategy
% 11.28/2.42 % (3349700)------------------------------
% 11.28/2.42 % (3349700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.42 % (3349700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.42 % (3349700)CaDiCaL version: 2.1.3
% 11.28/2.42 % (3349700)Termination reason: Refutation not found, incomplete strategy
% 11.28/2.42 % (3349700)Time elapsed: 0.007 s
% 11.28/2.42 % (3349700)Peak memory usage: 88 MB
% 11.28/2.42 % (3349700)Instructions burned: 8 (million)
% 11.28/2.42 % (3349699)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1944573629:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.28/2.42 % (3349697)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=90622783:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.28/2.42 % (3349703)dis-21_1_sil=8000:lcm=predicate:random_seed=4080394367: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)
% 11.28/2.42 % (3349701)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3889517396:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.28/2.42 % (3349702)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2644253863:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.28/2.42 % (3349703)Instruction limit reached!
% 11.28/2.42 % (3349703)------------------------------
% 11.28/2.42 % (3349703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.42 % (3349703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.42 % (3349703)CaDiCaL version: 2.1.3
% 11.28/2.42 % (3349703)Termination reason: Instruction limit
% 11.28/2.42 % (3349703)Termination phase: Saturation
% 11.28/2.42 % (3349703)Time elapsed: 0.067 s
% 11.28/2.42 % (3349703)Peak memory usage: 89 MB
% 11.28/2.42 % (3349703)Instructions burned: 117 (million)
% 11.28/2.42 % (3349701)Instruction limit reached!
% 11.28/2.42 % (3349701)------------------------------
% 11.28/2.42 % (3349701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.42 % (3349701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.42 % (3349701)CaDiCaL version: 2.1.3
% 11.28/2.42 % (3349701)Termination reason: Instruction limit
% 11.28/2.42 % (3349701)Termination phase: Saturation
% 11.28/2.42 % (3349701)Time elapsed: 0.074 s
% 11.28/2.42 % (3349701)Peak memory usage: 89 MB
% 11.28/2.42 % (3349701)Instructions burned: 115 (million)
% 11.28/2.42 % (3349702)Instruction limit reached!
% 11.28/2.42 % (3349702)------------------------------
% 11.28/2.42 % (3349702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.42 % (3349702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.43 % (3349702)CaDiCaL version: 2.1.3
% 11.28/2.43 % (3349702)Termination reason: Instruction limit
% 11.28/2.43 % (3349702)Termination phase: Saturation
% 11.28/2.43 % (3349702)Time elapsed: 0.138 s
% 11.28/2.43 % (3349702)Peak memory usage: 90 MB
% 11.28/2.43 % (3349702)Instructions burned: 181 (million)
% 11.28/2.43 % (3349712)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=90319518: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)
% 11.28/2.43 % (3349711)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=746689933:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.28/2.43 % (3349711)Refutation not found, incomplete strategy
% 11.28/2.43 % (3349711)------------------------------
% 11.28/2.43 % (3349711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.43 % (3349711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.43 % (3349711)CaDiCaL version: 2.1.3
% 21.13/4.00 % (3349711)Termination reason: Refutation not found, incomplete strategy
% 21.13/4.00 % (3349711)Time elapsed: 0.004 s
% 21.13/4.00 % (3349711)Peak memory usage: 88 MB
% 21.13/4.00 % (3349711)Instructions burned: 5 (million)
% 21.13/4.00 % (3349712)Refutation not found, incomplete strategy
% 21.13/4.00 % (3349712)------------------------------
% 21.13/4.00 % (3349712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.13/4.00 % (3349712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.13/4.00 % (3349712)CaDiCaL version: 2.1.3
% 21.13/4.00 % (3349712)Termination reason: Refutation not found, incomplete strategy
% 21.13/4.00 % (3349712)Time elapsed: 0.013 s
% 21.13/4.00 % (3349712)Peak memory usage: 89 MB
% 21.13/4.00 % (3349712)Instructions burned: 23 (million)
% 21.13/4.00 % (3349700)------------------------------
% 21.13/4.00 % (3349700)------------------------------
% 21.13/4.00 % (3349713)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2705493721:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 21.13/4.00 % (3349713)Refutation not found, incomplete strategy
% 21.13/4.00 % (3349713)------------------------------
% 21.13/4.00 % (3349713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.13/4.00 % (3349713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.13/4.00 % (3349713)CaDiCaL version: 2.1.3
% 21.13/4.00 % (3349713)Termination reason: Refutation not found, incomplete strategy
% 21.13/4.00 % (3349713)Time elapsed: 0.004 s
% 21.13/4.00 % (3349713)Peak memory usage: 88 MB
% 21.13/4.00 % (3349713)Instructions burned: 5 (million)
% 21.13/4.00 % (3349716)lrs+10_64_to=lpo:sil=8000:random_seed=3664527380:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 21.13/4.00 % (3349716)Instruction limit reached!
% 21.13/4.00 % (3349716)------------------------------
% 21.13/4.00 % (3349716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.13/4.00 % (3349716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.13/4.00 % (3349716)CaDiCaL version: 2.1.3
% 21.13/4.00 % (3349716)Termination reason: Instruction limit
% 21.13/4.00 % (3349716)Termination phase: Saturation
% 21.13/4.00 % (3349716)Time elapsed: 0.078 s
% 21.13/4.00 % (3349716)Peak memory usage: 90 MB
% 21.13/4.00 % (3349716)Instructions burned: 126 (million)
% 21.13/4.00 % (3349711)------------------------------
% 21.13/4.00 % (3349711)------------------------------
% 21.13/4.00 % (3349712)------------------------------
% 21.13/4.00 % (3349712)------------------------------
% 21.13/4.00 % (3349713)------------------------------
% 21.13/4.00 % (3349713)------------------------------
% 21.13/4.00 % (3349719)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1408344073:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 21.13/4.00 % (3349721)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2086575940:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 21.13/4.00 % (3349720)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1261484783:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 21.13/4.00 % (3349722)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=3084637601:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 21.13/4.00 % (3349719)Instruction limit reached!
% 21.13/4.00 % (3349719)------------------------------
% 21.13/4.00 % (3349719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.13/4.00 % (3349719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.13/4.00 % (3349719)CaDiCaL version: 2.1.3
% 21.13/4.00 % (3349719)Termination reason: Instruction limit
% 21.13/4.00 % (3349719)Termination phase: Saturation
% 21.13/4.00 % (3349719)Time elapsed: 0.100 s
% 21.13/4.00 % (3349719)Peak memory usage: 90 MB
% 21.13/4.00 % (3349719)Instructions burned: 195 (million)
% 21.13/4.00 % (3349720)Instruction limit reached!
% 21.13/4.00 % (3349720)------------------------------
% 21.13/4.00 % (3349720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.13/4.00 % (3349720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.13/4.00 % (3349720)CaDiCaL version: 2.1.3
% 21.13/4.00 % (3349720)Termination reason: Instruction limit
% 21.13/4.00 % (3349720)Termination phase: Saturation
% 21.13/4.00 % (3349720)Time elapsed: 0.109 s
% 21.13/4.00 % (3349720)Peak memory usage: 91 MB
% 21.13/4.00 % (3349720)Instructions burned: 157 (million)
% 31.91/5.45 % (3349722)Instruction limit reached!
% 31.91/5.45 % (3349722)------------------------------
% 31.91/5.45 % (3349722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.91/5.45 % (3349722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.91/5.45 % (3349722)CaDiCaL version: 2.1.3
% 31.91/5.45 % (3349722)Termination reason: Instruction limit
% 31.91/5.45 % (3349722)Termination phase: Saturation
% 31.91/5.45 % (3349722)Time elapsed: 0.064 s
% 31.91/5.45 % (3349722)Peak memory usage: 89 MB
% 31.91/5.45 % (3349722)Instructions burned: 107 (million)
% 31.91/5.45 % (3349727)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=460350183:i=107_2991 on theBenchmark for (2991ds/107Mi)
% 31.91/5.45 % (3349728)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1842465802:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 31.91/5.45 % (3349729)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=22428769:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 31.91/5.45 % (3349727)Instruction limit reached!
% 31.91/5.45 % (3349727)------------------------------
% 31.91/5.45 % (3349727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.91/5.45 % (3349727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.91/5.45 % (3349727)CaDiCaL version: 2.1.3
% 31.91/5.45 % (3349727)Termination reason: Instruction limit
% 31.91/5.45 % (3349727)Termination phase: Saturation
% 31.91/5.45 % (3349727)Time elapsed: 0.073 s
% 31.91/5.45 % (3349727)Peak memory usage: 89 MB
% 31.91/5.45 % (3349727)Instructions burned: 108 (million)
% 31.91/5.45 % (3349728)Instruction limit reached!
% 31.91/5.45 % (3349728)------------------------------
% 31.91/5.45 % (3349728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.91/5.45 % (3349728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.91/5.45 % (3349728)CaDiCaL version: 2.1.3
% 31.91/5.45 % (3349728)Termination reason: Instruction limit
% 31.91/5.45 % (3349728)Termination phase: Saturation
% 31.91/5.45 % (3349728)Time elapsed: 0.159 s
% 31.91/5.45 % (3349728)Peak memory usage: 90 MB
% 31.91/5.45 % (3349728)Instructions burned: 243 (million)
% 31.91/5.45 % (3349733)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1318020322:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 31.91/5.45 % (3349734)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=4168411964:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 31.91/5.45 % (3349733)Instruction limit reached!
% 31.91/5.45 % (3349733)------------------------------
% 31.91/5.45 % (3349733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.91/5.45 % (3349733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.91/5.45 % (3349733)CaDiCaL version: 2.1.3
% 31.91/5.45 % (3349733)Termination reason: Instruction limit
% 31.91/5.45 % (3349733)Termination phase: Saturation
% 31.91/5.45 % (3349733)Time elapsed: 0.103 s
% 31.91/5.45 % (3349733)Peak memory usage: 90 MB
% 31.91/5.45 % (3349733)Instructions burned: 135 (million)
% 31.91/5.45 % (3349737)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=4027073695:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 31.91/5.45 % (3349737)Instruction limit reached!
% 31.91/5.45 % (3349737)------------------------------
% 31.91/5.45 % (3349737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.91/5.45 % (3349737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.91/5.45 % (3349737)CaDiCaL version: 2.1.3
% 31.91/5.45 % (3349737)Termination reason: Instruction limit
% 31.91/5.45 % (3349737)Termination phase: Saturation
% 31.91/5.45 % (3349737)Time elapsed: 0.104 s
% 31.91/5.45 % (3349737)Peak memory usage: 89 MB
% 31.91/5.45 % (3349737)Instructions burned: 193 (million)
% 31.91/5.45 % (3349734)Instruction limit reached!
% 31.91/5.45 % (3349734)------------------------------
% 31.91/5.45 % (3349734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.91/5.45 % (3349734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.91/5.45 % (3349734)CaDiCaL version: 2.1.3
% 31.91/5.45 % (3349734)Termination reason: Instruction limit
% 31.91/5.45 % (3349734)Termination phase: Saturation
% 31.91/5.45 % (3349734)Time elapsed: 0.307 s
% 56.72/9.10 % (3349734)Peak memory usage: 93 MB
% 56.72/9.10 % (3349734)Instructions burned: 499 (million)
% 56.72/9.10 % (3349739)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3760041684:i=264:kws=precedence:fsr=off_2984 on theBenchmark for (2984ds/264Mi)
% 56.72/9.10 % (3349740)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3067386307:cond=on:i=156:bs=on:gtg=exists_all:er=known_2984 on theBenchmark for (2984ds/156Mi)
% 56.72/9.10 % (3349739)Instruction limit reached!
% 56.72/9.10 % (3349739)------------------------------
% 56.72/9.10 % (3349739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.72/9.10 % (3349739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.72/9.10 % (3349739)CaDiCaL version: 2.1.3
% 56.72/9.10 % (3349739)Termination reason: Instruction limit
% 56.72/9.10 % (3349739)Termination phase: Saturation
% 56.72/9.10 % (3349739)Time elapsed: 0.164 s
% 56.72/9.10 % (3349739)Peak memory usage: 91 MB
% 56.72/9.10 % (3349739)Instructions burned: 264 (million)
% 56.72/9.10 % (3349740)Instruction limit reached!
% 56.72/9.10 % (3349740)------------------------------
% 56.72/9.10 % (3349740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.72/9.10 % (3349740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.72/9.10 % (3349740)CaDiCaL version: 2.1.3
% 56.72/9.10 % (3349740)Termination reason: Instruction limit
% 56.72/9.10 % (3349740)Termination phase: Saturation
% 56.72/9.10 % (3349740)Time elapsed: 0.089 s
% 56.72/9.10 % (3349740)Peak memory usage: 89 MB
% 56.72/9.10 % (3349740)Instructions burned: 157 (million)
% 56.72/9.10 % (3349744)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=1176774673:i=537:av=off:ss=included_2981 on theBenchmark for (2981ds/537Mi)
% 56.72/9.10 % (3349743)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=321983861:i=3256:kws=precedence:bd=preordered:av=off_2981 on theBenchmark for (2981ds/3256Mi)
% 56.72/9.10 % (3349744)Instruction limit reached!
% 56.72/9.10 % (3349744)------------------------------
% 56.72/9.10 % (3349744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.72/9.10 % (3349744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.72/9.10 % (3349744)CaDiCaL version: 2.1.3
% 56.72/9.10 % (3349744)Termination reason: Instruction limit
% 56.72/9.10 % (3349744)Termination phase: Saturation
% 56.72/9.10 % (3349744)Time elapsed: 0.288 s
% 56.72/9.10 % (3349744)Peak memory usage: 89 MB
% 56.72/9.10 % (3349744)Instructions burned: 539 (million)
% 56.72/9.10 % (3349747)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=588791611:i=180:bd=preordered:av=off_2977 on theBenchmark for (2977ds/180Mi)
% 56.72/9.10 % (3349747)Instruction limit reached!
% 56.72/9.10 % (3349747)------------------------------
% 56.72/9.10 % (3349747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.72/9.10 % (3349747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.72/9.10 % (3349747)CaDiCaL version: 2.1.3
% 56.72/9.10 % (3349747)Termination reason: Instruction limit
% 56.72/9.10 % (3349747)Termination phase: Saturation
% 56.72/9.10 % (3349747)Time elapsed: 0.095 s
% 56.72/9.10 % (3349747)Peak memory usage: 90 MB
% 56.72/9.10 % (3349747)Instructions burned: 181 (million)
% 56.72/9.10 % (3349749)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=882032921:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2975 on theBenchmark for (2975ds/10307Mi)
% 56.72/9.10 % (3349721)Instruction limit reached!
% 56.72/9.10 % (3349721)------------------------------
% 56.72/9.10 % (3349721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.72/9.10 % (3349721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.72/9.10 % (3349721)CaDiCaL version: 2.1.3
% 56.72/9.10 % (3349721)Termination reason: Instruction limit
% 56.72/9.10 % (3349721)Termination phase: Saturation
% 56.72/9.10 % (3349721)Time elapsed: 2.091 s
% 56.72/9.10 % (3349721)Peak memory usage: 147 MB
% 56.72/9.10 % (3349721)Instructions burned: 3395 (million)
% 56.72/9.10 % (3349751)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=2508805034:i=412:gtgl=4:gtg=exists_all_2971 on theBenchmark for (2971ds/412Mi)
% 56.72/9.10 % (3349751)Instruction limit reached!
% 56.72/9.10 % (3349751)------------------------------
% 79.03/12.21 % (3349751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.03/12.21 % (3349751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.03/12.21 % (3349751)CaDiCaL version: 2.1.3
% 79.03/12.21 % (3349751)Termination reason: Instruction limit
% 79.03/12.21 % (3349751)Termination phase: Saturation
% 79.03/12.21 % (3349751)Time elapsed: 0.186 s
% 79.03/12.21 % (3349751)Peak memory usage: 90 MB
% 79.03/12.21 % (3349751)Instructions burned: 414 (million)
% 79.03/12.21 % (3349753)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=19262811:s2pl=no:i=8478:s2at=4:nm=6_2968 on theBenchmark for (2968ds/8478Mi)
% 79.03/12.21 % (3349743)Instruction limit reached!
% 79.03/12.21 % (3349743)------------------------------
% 79.03/12.21 % (3349743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.03/12.21 % (3349743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.03/12.21 % (3349743)CaDiCaL version: 2.1.3
% 79.03/12.21 % (3349743)Termination reason: Instruction limit
% 79.03/12.21 % (3349743)Termination phase: Saturation
% 79.03/12.21 % (3349743)Time elapsed: 1.902 s
% 79.03/12.21 % (3349743)Peak memory usage: 149 MB
% 79.03/12.21 % (3349743)Instructions burned: 3256 (million)
% 79.03/12.21 % (3349755)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=1735685071:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2961 on theBenchmark for (2961ds/303Mi)
% 79.03/12.21 % (3349755)Refutation not found, incomplete strategy
% 79.03/12.21 % (3349755)------------------------------
% 79.03/12.21 % (3349755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.03/12.21 % (3349755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.03/12.21 % (3349755)CaDiCaL version: 2.1.3
% 79.03/12.21 % (3349755)Termination reason: Refutation not found, incomplete strategy
% 79.03/12.21 % (3349755)Time elapsed: 0.003 s
% 79.03/12.21 % (3349755)Peak memory usage: 88 MB
% 79.03/12.21 % (3349755)Instructions burned: 2 (million)
% 79.03/12.21 % (3349729)Instruction limit reached!
% 79.03/12.21 % (3349729)------------------------------
% 79.03/12.21 % (3349729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.03/12.21 % (3349729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.03/12.21 % (3349729)CaDiCaL version: 2.1.3
% 79.03/12.21 % (3349729)Termination reason: Instruction limit
% 79.03/12.21 % (3349729)Termination phase: Saturation
% 79.03/12.21 % (3349729)Time elapsed: 3.186 s
% 79.03/12.21 % (3349729)Peak memory usage: 154 MB
% 79.03/12.21 % (3349729)Instructions burned: 5209 (million)
% 79.03/12.21 % (3349755)------------------------------
% 79.03/12.21 % (3349755)------------------------------
% 79.03/12.21 % (3349757)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=798111293:st=4:i=720:sd=3:fsr=off:ss=axioms_2957 on theBenchmark for (2957ds/720Mi)
% 79.03/12.21 % (3349757)Refutation not found, incomplete strategy
% 79.03/12.21 % (3349757)------------------------------
% 79.03/12.21 % (3349757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.03/12.21 % (3349757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.03/12.21 % (3349757)CaDiCaL version: 2.1.3
% 79.03/12.21 % (3349757)Termination reason: Refutation not found, incomplete strategy
% 79.03/12.21 % (3349757)Time elapsed: 0.005 s
% 79.03/12.21 % (3349757)Peak memory usage: 88 MB
% 79.03/12.21 % (3349757)Instructions burned: 6 (million)
% 79.03/12.21 % (3349758)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=1066739576:i=598:bs=on:bd=preordered:av=off:ss=axioms_2957 on theBenchmark for (2957ds/598Mi)
% 79.03/12.21 % (3349758)Refutation not found, incomplete strategy
% 79.03/12.21 % (3349758)------------------------------
% 79.03/12.21 % (3349758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.03/12.21 % (3349758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.03/12.21 % (3349758)CaDiCaL version: 2.1.3
% 79.03/12.21 % (3349758)Termination reason: Refutation not found, incomplete strategy
% 79.03/12.21 % (3349758)Time elapsed: 0.032 s
% 79.03/12.21 % (3349758)Peak memory usage: 88 MB
% 79.03/12.21 % (3349758)Instructions burned: 51 (million)
% 79.03/12.21 % (3349757)------------------------------
% 79.03/12.21 % (3349757)------------------------------
% 79.03/12.21 % (3349758)------------------------------
% 102.89/15.65 % (3349758)------------------------------
% 102.89/15.65 % (3349761)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=3525831879:i=2989:sd=3:ss=axioms:sgt=60_2954 on theBenchmark for (2954ds/2989Mi)
% 102.89/15.65 % (3349762)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=2615076318:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2953 on theBenchmark for (2953ds/1997Mi)
% 102.89/15.65 % (3349762)Instruction limit reached!
% 102.89/15.65 % (3349762)------------------------------
% 102.89/15.65 % (3349762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.89/15.65 % (3349762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.89/15.65 % (3349762)CaDiCaL version: 2.1.3
% 102.89/15.65 % (3349762)Termination reason: Instruction limit
% 102.89/15.65 % (3349762)Termination phase: Saturation
% 102.89/15.65 % (3349762)Time elapsed: 1.285 s
% 102.89/15.65 % (3349762)Peak memory usage: 137 MB
% 102.89/15.65 % (3349762)Instructions burned: 1998 (million)
% 102.89/15.65 % (3349765)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=3668826173:i=2088:bd=preordered:av=off_2939 on theBenchmark for (2939ds/2088Mi)
% 102.89/15.65 % (3349761)Instruction limit reached!
% 102.89/15.65 % (3349761)------------------------------
% 102.89/15.65 % (3349761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.89/15.65 % (3349761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.89/15.65 % (3349761)CaDiCaL version: 2.1.3
% 102.89/15.65 % (3349761)Termination reason: Instruction limit
% 102.89/15.65 % (3349761)Termination phase: Saturation
% 102.89/15.65 % (3349761)Time elapsed: 1.829 s
% 102.89/15.65 % (3349761)Peak memory usage: 142 MB
% 102.89/15.65 % (3349761)Instructions burned: 2989 (million)
% 102.89/15.65 % (3349767)lrs+1010_64:1_anc=all:to=lpo:sil=16000:fde=none:sp=const_frequency:urr=full:sac=on:random_seed=1026618721:i=1098:nicw=on_2934 on theBenchmark for (2934ds/1098Mi)
% 102.89/15.65 % (3349767)Instruction limit reached!
% 102.89/15.65 % (3349767)------------------------------
% 102.89/15.65 % (3349767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.89/15.65 % (3349767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.89/15.65 % (3349767)CaDiCaL version: 2.1.3
% 102.89/15.65 % (3349767)Termination reason: Instruction limit
% 102.89/15.65 % (3349767)Termination phase: Saturation
% 102.89/15.65 % (3349767)Time elapsed: 0.679 s
% 102.89/15.65 % (3349767)Peak memory usage: 102 MB
% 102.89/15.65 % (3349767)Instructions burned: 1126 (million)
% 102.89/15.65 % (3349765)Instruction limit reached!
% 102.89/15.65 % (3349765)------------------------------
% 102.89/15.65 % (3349765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.89/15.65 % (3349765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.89/15.65 % (3349765)CaDiCaL version: 2.1.3
% 102.89/15.65 % (3349765)Termination reason: Instruction limit
% 102.89/15.65 % (3349765)Termination phase: Saturation
% 102.89/15.65 % (3349765)Time elapsed: 1.288 s
% 102.89/15.65 % (3349765)Peak memory usage: 138 MB
% 102.89/15.65 % (3349765)Instructions burned: 2088 (million)
% 102.89/15.65 % (3349753)Instruction limit reached!
% 102.89/15.65 % (3349753)------------------------------
% 102.89/15.65 % (3349753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.89/15.65 % (3349753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.89/15.65 % (3349753)CaDiCaL version: 2.1.3
% 102.89/15.65 % (3349753)Termination reason: Instruction limit
% 102.89/15.65 % (3349753)Termination phase: Saturation
% 102.89/15.65 % (3349753)Time elapsed: 4.624 s
% 102.89/15.65 % (3349753)Peak memory usage: 178 MB
% 102.89/15.65 % (3349753)Instructions burned: 8480 (million)
% 102.89/15.65 % (3349769)lrs-1011_32:1_to=lpo:sil=32000:tgt=ground:sos=on:spb=goal_then_units:acc=on:random_seed=2970846818:i=433:bd=preordered_2926 on theBenchmark for (2926ds/433Mi)
% 102.89/15.65 % (3349771)lrs+35_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=reverse_arity:urr=full:rp=on:br=off:random_seed=1013044820:i=6922:s2at=5:sd=3:bd=all:ss=axioms:er=known:sgt=32_2920 on theBenchmark for (2920ds/6922Mi)
% 102.89/15.65 % (3349770)lrs+1002_1_ncem=casc2026/models/loop3.pt:sil=32000:npcc=on:prc=on:etr=on:spb=goal:flr=on:random_seed=3090930538:st=5.37:cond=on:i=2942:s2at=20:aac=none:fgj=on:bs=on:gtg=exists_sym:ss=axioms:er=filter:sgt=16_2925 on theBenchmark for (2925ds/2942Mi)
% 113.46/17.08 % (3349769)Instruction limit reached!
% 113.46/17.08 % (3349769)------------------------------
% 113.46/17.08 % (3349769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.46/17.08 % (3349769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.46/17.08 % (3349769)CaDiCaL version: 2.1.3
% 113.46/17.08 % (3349769)Termination reason: Instruction limit
% 113.46/17.08 % (3349769)Termination phase: Saturation
% 113.46/17.08 % (3349769)Time elapsed: 0.178 s
% 113.46/17.08 % (3349769)Peak memory usage: 89 MB
% 113.46/17.08 % (3349769)Instructions burned: 434 (million)
% 113.46/17.08 % (3349775)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=1494124048:s2a=on:i=596:s2at=2.3:gtgl=5:gtg=all:sup=off_2916 on theBenchmark for (2916ds/596Mi)
% 113.46/17.08 % (3349749)Instruction limit reached!
% 113.46/17.08 % (3349749)------------------------------
% 113.46/17.08 % (3349749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.46/17.08 % (3349749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.46/17.08 % (3349749)CaDiCaL version: 2.1.3
% 113.46/17.08 % (3349749)Termination reason: Instruction limit
% 113.46/17.08 % (3349749)Termination phase: Saturation
% 113.46/17.08 % (3349749)Time elapsed: 5.907 s
% 113.46/17.08 % (3349749)Peak memory usage: 153 MB
% 113.46/17.08 % (3349749)Instructions burned: 10307 (million)
% 113.46/17.08 % (3349775)Instruction limit reached!
% 113.46/17.08 % (3349775)------------------------------
% 113.46/17.08 % (3349775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.46/17.08 % (3349775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.46/17.08 % (3349775)CaDiCaL version: 2.1.3
% 113.46/17.08 % (3349775)Termination reason: Instruction limit
% 113.46/17.08 % (3349775)Termination phase: Saturation
% 113.46/17.08 % (3349775)Time elapsed: 0.177 s
% 113.46/17.08 % (3349775)Peak memory usage: 99 MB
% 113.46/17.08 % (3349775)Instructions burned: 596 (million)
% 113.46/17.08 % (3349777)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=3566732797:i=4123:kws=inv_frequency:bd=preordered:av=off:er=known_2915 on theBenchmark for (2915ds/4123Mi)
% 113.46/17.08 % (3349778)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=907017747:i=16411:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2913 on theBenchmark for (2913ds/16411Mi)
% 113.46/17.08 % (3349770)Instruction limit reached!
% 113.46/17.08 % (3349770)------------------------------
% 113.46/17.08 % (3349770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.46/17.08 % (3349770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.46/17.08 % (3349770)CaDiCaL version: 2.1.3
% 113.46/17.08 % (3349770)Termination reason: Instruction limit
% 113.46/17.08 % (3349770)Termination phase: Saturation
% 113.46/17.08 % (3349770)Time elapsed: 1.919 s
% 113.46/17.08 % (3349770)Peak memory usage: 145 MB
% 113.46/17.08 % (3349770)Instructions burned: 2943 (million)
% 113.46/17.08 % (3349781)lrs+0_1_ncem=casc2026/models/loop1.pt:sil=8000:tgt=full:npcc=on:sp=reverse_frequency:gs=on:random_seed=2668248942:i=1670:kws=inv_precedence:bd=all:av=off:gtg=exists_all_2898 on theBenchmark for (2898ds/1670Mi)
% 113.46/17.08 % (3349777)Instruction limit reached!
% 113.46/17.08 % (3349777)------------------------------
% 113.46/17.08 % (3349777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.46/17.08 % (3349777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.46/17.08 % (3349777)CaDiCaL version: 2.1.3
% 113.46/17.08 % (3349777)Termination reason: Instruction limit
% 113.46/17.08 % (3349777)Termination phase: Saturation
% 113.46/17.08 % (3349777)Time elapsed: 2.548 s
% 113.46/17.08 % (3349777)Peak memory usage: 156 MB
% 113.46/17.08 % (3349777)Instructions burned: 4128 (million)
% 113.46/17.08 % (3349783)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=3356885614:st=3:cond=fast:i=1722:sd=2:ss=included:fsd=on_2888 on theBenchmark for (2888ds/1722Mi)
% 113.46/17.08 % (3349781)Instruction limit reached!
% 113.46/17.08 % (3349781)------------------------------
% 113.46/17.08 % (3349781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.46/17.08 % (3349781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.46/17.08 % (3349781)CaDiCaL version: 2.1.3
% 119.28/18.90 % (3349781)Termination reason: Instruction limit
% 119.28/18.90 % (3349781)Termination phase: Saturation
% 119.28/18.90 % (3349781)Time elapsed: 1.046 s
% 119.28/18.90 % (3349781)Peak memory usage: 136 MB
% 119.28/18.90 % (3349781)Instructions burned: 1670 (million)
% 119.28/18.90 % (3349785)ott-1004_1_anc=all_dependent:to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:sas=cadical:sp=const_frequency:acc=on:urr=ec_only:gs=on:s2agt=40:alpa=false:sac=on:random_seed=449304321:cts=off:cond=on:i=9530:bs=on:fsd=on_2886 on theBenchmark for (2886ds/9530Mi)
% 119.28/18.90 % (3349771)Instruction limit reached!
% 119.28/18.90 % (3349771)------------------------------
% 119.28/18.90 % (3349771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 119.28/18.90 % (3349771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 119.28/18.90 % (3349771)CaDiCaL version: 2.1.3
% 119.28/18.90 % (3349771)Termination reason: Instruction limit
% 119.28/18.90 % (3349771)Termination phase: Saturation
% 119.28/18.90 % (3349771)Time elapsed: 3.673 s
% 119.28/18.90 % (3349771)Peak memory usage: 171 MB
% 119.28/18.90 % (3349771)Instructions burned: 6923 (million)
% 119.28/18.90 % (3349783)Refutation not found, incomplete strategy
% 119.28/18.90 % (3349783)------------------------------
% 119.28/18.90 % (3349783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 119.28/18.90 % (3349783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 119.28/18.90 % (3349783)CaDiCaL version: 2.1.3
% 119.28/18.90 % (3349783)Termination reason: Refutation not found, incomplete strategy
% 119.28/18.90 % (3349783)Time elapsed: 0.657 s
% 119.28/18.90 % (3349783)Peak memory usage: 129 MB
% 119.28/18.90 % (3349783)Instructions burned: 987 (million)
% 119.28/18.90 % (3349787)lrs+10_1_ncem=casc2026/models/loop4.pt:sil=64000:npcc=on:sp=occurrence:random_seed=987467307:st=2:i=4495:sd=10:ss=included_2880 on theBenchmark for (2880ds/4495Mi)
% 119.28/18.90 % (3349783)------------------------------
% 119.28/18.90 % (3349783)------------------------------
% 119.28/18.90 % (3349789)lrs+1002_1_sfv=off:ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=reverse_arity:spb=non_intro:s2agt=16:random_seed=3978309803:cond=fast:i=4920:s2at=1.9:kws=inv_frequency:av=off:er=filter_2878 on theBenchmark for (2878ds/4920Mi)
% 119.28/18.90 % (3349778)Instruction limit reached!
% 119.28/18.90 % (3349778)------------------------------
% 119.28/18.90 % (3349778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 119.28/18.90 % (3349778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 119.28/18.90 % (3349778)CaDiCaL version: 2.1.3
% 119.28/18.90 % (3349778)Termination reason: Instruction limit
% 119.28/18.90 % (3349778)Termination phase: Saturation
% 119.28/18.90 % (3349778)Time elapsed: 4.879 s
% 119.28/18.90 % (3349778)Peak memory usage: 189 MB
% 119.28/18.90 % (3349778)Instructions burned: 16412 (million)
% 119.28/18.90 % (3349939)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:lcm=reverse:bce=on:bsr=unit_only:random_seed=2499096520:cts=off:cond=on:i=2083:s2at=-1:fgj=on:av=off_2864 on theBenchmark for (2864ds/2083Mi)
% 119.28/18.90 % (3349939)Instruction limit reached!
% 119.28/18.90 % (3349939)------------------------------
% 119.28/18.90 % (3349939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 119.28/18.90 % (3349939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 119.28/18.90 % (3349939)CaDiCaL version: 2.1.3
% 119.28/18.90 % (3349939)Termination reason: Instruction limit
% 119.28/18.90 % (3349939)Termination phase: Saturation
% 119.28/18.90 % (3349939)Time elapsed: 0.701 s
% 119.28/18.90 % (3349939)Peak memory usage: 137 MB
% 119.28/18.90 % (3349939)Instructions burned: 2084 (million)
% 119.28/18.90 % (3349945)lrs+31_1_to=lpo:ncem=casc2026/models/loop2.pt:sil=16000:npcc=on:sp=weighted_frequency:sos=all:spb=units:lcm=predicate:bsr=on:gs=on:random_seed=3460696387:i=4629:av=off:gsp=on_2856 on theBenchmark for (2856ds/4629Mi)
% 119.28/18.90 % (3349787)Instruction limit reached!
% 119.28/18.90 % (3349787)------------------------------
% 119.28/18.90 % (3349787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 119.28/18.90 % (3349787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 119.28/18.90 % (3349787)CaDiCaL version: 2.1.3
% 119.28/18.90 % (3349787)Termination reason: Instruction limit
% 119.28/18.90 % (3349787)Termination phase: Saturation
% 119.28/18.90 % (3349787)Time elapsed: 2.586 s
% 119.28/18.90 % (3349787)Peak memory usage: 160 MB
% 119.28/18.90 % (3349787)Instructions burned: 4497 (million)
% 119.28/18.90 % (3349947)dis+10_64_sil=16000:tgt=full:plsq=on:prc=on:drc=off:plsqc=2:plsqr=32,1:spb=goal:random_seed=133245378:i=1258:av=off_2853 on theBenchmark for (2853ds/1258Mi)
% 149.54/22.16 % (3349945)Refutation not found, incomplete strategy
% 149.54/22.16 % (3349945)------------------------------
% 149.54/22.16 % (3349945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 149.54/22.16 % (3349945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 149.54/22.16 % (3349945)CaDiCaL version: 2.1.3
% 149.54/22.16 % (3349945)Termination reason: Refutation not found, incomplete strategy
% 149.54/22.16 % (3349945)Time elapsed: 0.340 s
% 149.54/22.16 % (3349945)Peak memory usage: 129 MB
% 149.54/22.16 % (3349945)Instructions burned: 938 (million)
% 149.54/22.16 % (3349945)------------------------------
% 149.54/22.16 % (3349945)------------------------------
% 149.54/22.16 % (3349949)ott+1_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:fdtod=off:random_seed=965445465:i=7343:av=off:ss=included_2850 on theBenchmark for (2850ds/7343Mi)
% 149.54/22.16 % (3349949)Refutation not found, incomplete strategy
% 149.54/22.16 % (3349949)------------------------------
% 149.54/22.16 % (3349949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 149.54/22.16 % (3349949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 149.54/22.16 % (3349949)CaDiCaL version: 2.1.3
% 149.54/22.16 % (3349949)Termination reason: Refutation not found, incomplete strategy
% 149.54/22.16 % (3349949)Time elapsed: 0.325 s
% 149.54/22.16 % (3349949)Peak memory usage: 128 MB
% 149.54/22.16 % (3349949)Instructions burned: 910 (million)
% 149.54/22.16 % (3349789)Instruction limit reached!
% 149.54/22.16 % (3349789)------------------------------
% 149.54/22.16 % (3349789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 149.54/22.16 % (3349789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 149.54/22.16 % (3349789)CaDiCaL version: 2.1.3
% 149.54/22.16 % (3349789)Termination reason: Instruction limit
% 149.54/22.16 % (3349789)Termination phase: Saturation
% 149.54/22.16 % (3349789)Time elapsed: 3.175 s
% 149.54/22.16 % (3349789)Peak memory usage: 153 MB
% 149.54/22.16 % (3349789)Instructions burned: 4921 (million)
% 149.54/22.16 % (3349949)------------------------------
% 149.54/22.16 % (3349949)------------------------------
% 149.54/22.16 % (3349947)Instruction limit reached!
% 149.54/22.16 % (3349947)------------------------------
% 149.54/22.16 % (3349947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 149.54/22.16 % (3349947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 149.54/22.16 % (3349947)CaDiCaL version: 2.1.3
% 149.54/22.16 % (3349947)Termination reason: Instruction limit
% 149.54/22.16 % (3349947)Termination phase: Saturation
% 149.54/22.16 % (3349947)Time elapsed: 0.731 s
% 149.54/22.16 % (3349947)Peak memory usage: 96 MB
% 149.54/22.16 % (3349947)Instructions burned: 1258 (million)
% 149.54/22.16 % (3349952)dis+1011_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:prc=on:sp=arity:lma=off:spb=intro:urr=ec_only:sac=on:random_seed=3121710951:st=3.9:cond=fast:i=2646:s2at=1.8:sd=5:amm=off:gtg=position:ss=axioms:fsd=on_2844 on theBenchmark for (2844ds/2646Mi)
% 149.54/22.16 % (3349951)lrs-1002_1_to=lpo:sil=16000:sp=reverse_arity:sos=on:random_seed=1698371148:i=1325:sd=2:ss=axioms:sgt=16_2844 on theBenchmark for (2844ds/1325Mi)
% 149.54/22.16 % (3349951)Refutation not found, incomplete strategy
% 149.54/22.16 % (3349951)------------------------------
% 149.54/22.16 % (3349951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 149.54/22.16 % (3349951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 149.54/22.16 % (3349951)CaDiCaL version: 2.1.3
% 149.54/22.16 % (3349951)Termination reason: Refutation not found, incomplete strategy
% 149.54/22.16 % (3349951)Time elapsed: 0.006 s
% 149.54/22.16 % (3349951)Peak memory usage: 88 MB
% 149.54/22.16 % (3349951)Instructions burned: 9 (million)
% 149.54/22.16 % (3349953)dis-1003_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:sp=arity:sos=on:urr=on:random_seed=3024183106:i=1489:sd=2:ep=R:ss=axioms_2844 on theBenchmark for (2844ds/1489Mi)
% 149.54/22.16 % (3349951)------------------------------
% 149.54/22.16 % (3349951)------------------------------
% 149.54/22.16 % (3349957)lrs+20_1_ncem=casc2026/models/loop3.pt:sil=32000:npcc=on:fde=unused:sp=occurrence:sos=on:lcm=predicate:urr=full:sac=on:random_seed=560435159:i=1503_2841 on theBenchmark for (2841ds/1503Mi)
% 149.54/22.16 % (3349953)Refutation not found, incomplete strategy
% 149.54/22.16 % (3349953)------------------------------
% 149.54/22.16 % (3349953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 149.83/22.47 % (3349953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 149.83/22.47 % (3349953)CaDiCaL version: 2.1.3
% 149.83/22.47 % (3349953)Termination reason: Refutation not found, incomplete strategy
% 149.83/22.47 % (3349953)Time elapsed: 0.572 s
% 149.83/22.47 % (3349953)Peak memory usage: 128 MB
% 149.83/22.47 % (3349953)Instructions burned: 862 (million)
% 149.83/22.47 % (3349953)------------------------------
% 149.83/22.47 % (3349953)------------------------------
% 149.83/22.47 % (3349959)lrs+10_1_ncem=casc2026/models/loop3.pt:sil=16000:tgt=ground:npcc=on:random_seed=1530357512:i=13942:kws=frequency_2835 on theBenchmark for (2835ds/13942Mi)
% 149.83/22.47 % (3349952)Instruction limit reached!
% 149.83/22.47 % (3349952)------------------------------
% 149.83/22.47 % (3349952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 149.83/22.47 % (3349952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 149.83/22.47 % (3349952)CaDiCaL version: 2.1.3
% 149.83/22.47 % (3349952)Termination reason: Instruction limit
% 149.83/22.47 % (3349952)Termination phase: Saturation
% 149.83/22.47 % (3349952)Time elapsed: 0.975 s
% 149.83/22.47 % (3349952)Peak memory usage: 145 MB
% 149.83/22.47 % (3349952)Instructions burned: 2648 (million)
% 149.83/22.47 % (3349961)lrs-1002_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=16000:npcc=on:bsd=on:sp=unary_frequency:spb=goal:lcm=predicate:acc=on:urr=full:bce=on:bsr=unit_only:s2agt=64:sac=on:random_seed=728472885:i=3604:fsr=off:er=filter_2833 on theBenchmark for (2833ds/3604Mi)
% 149.83/22.47 % (3349957)Instruction limit reached!
% 149.83/22.47 % (3349957)------------------------------
% 149.83/22.47 % (3349957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 149.83/22.47 % (3349957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 149.83/22.47 % (3349957)CaDiCaL version: 2.1.3
% 149.83/22.47 % (3349957)Termination reason: Instruction limit
% 149.83/22.47 % (3349957)Termination phase: Saturation
% 149.83/22.47 % (3349957)Time elapsed: 0.923 s
% 149.83/22.47 % (3349957)Peak memory usage: 135 MB
% 149.83/22.47 % (3349957)Instructions burned: 1504 (million)
% 149.83/22.47 % (3349963)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=32000:npcc=on:random_seed=615135009:i=1876:sd=1:ss=included:sgt=32_2830 on theBenchmark for (2830ds/1876Mi)
% 149.83/22.47 % (3349963)Refutation not found, incomplete strategy
% 149.83/22.47 % (3349963)------------------------------
% 149.83/22.47 % (3349963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 149.83/22.47 % (3349963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 149.83/22.47 % (3349963)CaDiCaL version: 2.1.3
% 149.83/22.47 % (3349963)Termination reason: Refutation not found, incomplete strategy
% 149.83/22.47 % (3349963)Time elapsed: 0.598 s
% 149.83/22.47 % (3349963)Peak memory usage: 128 MB
% 149.83/22.47 % (3349963)Instructions burned: 914 (million)
% 149.83/22.47 % (3349963)------------------------------
% 149.83/22.47 % (3349963)------------------------------
% 149.83/22.47 % (3349961)Instruction limit reached!
% 149.83/22.47 % (3349961)------------------------------
% 149.83/22.47 % (3349961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 149.83/22.47 % (3349961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 149.83/22.47 % (3349961)CaDiCaL version: 2.1.3
% 149.83/22.47 % (3349961)Termination reason: Instruction limit
% 149.83/22.47 % (3349961)Termination phase: Saturation
% 149.83/22.47 % (3349961)Time elapsed: 1.210 s
% 149.83/22.47 % (3349961)Peak memory usage: 144 MB
% 149.83/22.47 % (3349961)Instructions burned: 3607 (million)
% 149.83/22.47 % (3349785)Instruction limit reached!
% 149.83/22.47 % (3349785)------------------------------
% 149.83/22.47 % (3349785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 149.83/22.47 % (3349785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 149.83/22.47 % (3349785)CaDiCaL version: 2.1.3
% 149.83/22.47 % (3349785)Termination reason: Instruction limit
% 149.83/22.47 % (3349785)Termination phase: Saturation
% 149.83/22.47 % (3349785)Time elapsed: 6.455 s
% 149.83/22.47 % (3349785)Peak memory usage: 170 MB
% 149.83/22.47 % (3349785)Instructions burned: 9530 (million)
% 149.83/22.47 % (3349966)dis-1010_1_ncem=casc2026/models/loop1.pt:sil=8000:npcc=on:fde=unused:etr=on:sp=weighted_frequency:spb=goal_then_units:urr=ec_only:fd=preordered:kmz=on:random_seed=3751998843:s2pl=on:cond=fast:i=1980:s2at=2:kws=inv_precedence:doe=on:ins=1:av=off:gsp=on_2820 on theBenchmark for (2820ds/1980Mi)
% 149.83/22.47 % (3349965)lrs+10_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:fde=none:sp=arity:urr=on:br=off:random_seed=1461384202:i=1932:bd=preordered:ins=10:sup=off:ss=axioms_2820 on theBenchmark for (2820ds/1932Mi)
% 149.83/22.47 % (3349967)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=unary_first:sos=all:spb=units:urr=on:br=off:random_seed=2916586520:i=3902:kws=inv_arity_squared:fgj=on:ss=axioms:sgt=11_2820 on theBenchmark for (2820ds/3902Mi)
% 149.83/22.47 % (3349965)Refutation not found, incomplete strategy
% 149.83/22.47 % (3349965)------------------------------
% 149.83/22.47 % (3349965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 149.83/22.47 % (3349965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 149.83/22.47 % (3349965)CaDiCaL version: 2.1.3
% 149.83/22.47 % (3349965)Termination reason: Refutation not found, incomplete strategy
% 149.83/22.47 % (3349965)Time elapsed: 0.571 s
% 149.83/22.47 % (3349965)Peak memory usage: 128 MB
% 149.83/22.47 % (3349965)Instructions burned: 870 (million)
% 149.83/22.47 % (3349966)Instruction limit reached!
% 149.83/22.47 % (3349966)------------------------------
% 149.83/22.47 % (3349966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 149.83/22.47 % (3349966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 149.83/22.47 % (3349966)CaDiCaL version: 2.1.3
% 149.83/22.47 % (3349966)Termination reason: Instruction limit
% 149.83/22.47 % (3349966)Termination phase: Saturation
% 149.83/22.47 % (3349966)Time elapsed: 0.688 s
% 149.83/22.47 % (3349966)Peak memory usage: 138 MB
% 149.83/22.47 % (3349966)Instructions burned: 1982 (million)
% 149.83/22.47 % (3349971)dis+10_32_sil=16000:tgt=ground:drc=off:sas=cadical:acc=on:alpa=false:avsqc=3:random_seed=919866924:avsq=on:i=3916:aac=none:amm=off_2812 on theBenchmark for (2812ds/3916Mi)
% 149.83/22.47 % (3349965)------------------------------
% 149.83/22.47 % (3349965)------------------------------
% 149.83/22.47 % (3349973)dis+10_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=full:npcc=on:drc=ordering:lcm=predicate:random_seed=2086949570:cond=on:i=3940:av=off:er=known_2811 on theBenchmark for (2811ds/3940Mi)
% 149.83/22.47 % (3349971)Instruction limit reached!
% 149.83/22.47 % (3349971)------------------------------
% 149.83/22.47 % (3349971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 149.83/22.47 % (3349971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 149.83/22.47 % (3349971)CaDiCaL version: 2.1.3
% 149.83/22.47 % (3349971)Termination reason: Instruction limit
% 149.83/22.47 % (3349971)Termination phase: Saturation
% 149.83/22.47 % (3349971)Time elapsed: 1.238 s
% 149.83/22.47 % (3349971)Peak memory usage: 103 MB
% 149.83/22.47 % (3349971)Instructions burned: 3918 (million)
% 149.83/22.47 % (3349975)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=reverse_frequency:bce=on:random_seed=4259434741:s2pl=on:i=3980:gtgl=3:kws=precedence:fgj=on:gtg=all_2799 on theBenchmark for (2799ds/3980Mi)
% 149.83/22.47 % (3349967)Instruction limit reached!
% 149.83/22.47 % (3349967)------------------------------
% 149.83/22.47 % (3349967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 149.83/22.47 % (3349967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 149.83/22.47 % (3349967)CaDiCaL version: 2.1.3
% 149.83/22.47 % (3349967)Termination reason: Instruction limit
% 149.83/22.47 % (3349967)Termination phase: Saturation
% 149.83/22.47 % (3349967)Time elapsed: 2.095 s
% 149.83/22.47 % (3349967)Peak memory usage: 149 MB
% 149.83/22.47 % (3349967)Instructions burned: 3903 (million)
% 149.83/22.47 % (3349977)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:prc=on:sp=reverse_frequency:spb=units:lsd=20:urr=ec_only:bce=on:fd=off:kmz=on:random_seed=1765493964:i=2087:s2at=3:kws=frequency:av=off:fsr=off_2798 on theBenchmark for (2798ds/2087Mi)
% 149.83/22.47 % (3349973)Instruction limit reached!
% 149.83/22.47 % (3349973)------------------------------
% 149.83/22.47 % (3349973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 149.83/22.47 % (3349973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 149.83/22.47 % (3349973)CaDiCaL version: 2.1.3
% 149.83/22.47 % (3349973)Termination reason: Instruction limit
% 149.83/22.47 % (3349973)Termination phase: Saturation
% 149.83/22.47 % (3349973)Time elapsed: 2.182 s
% 149.83/22.47 % (3349973)Peak memory usage: 139 MB
% 149.83/22.47 % (3349973)Instructions burned: 3940 (million)
% 149.83/22.47 % (3349977)First to succeed.
% 149.83/22.47 % (3349977)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3349692"
% 149.83/22.47 % (3349979)ott-1004_1_anc=all_dependent:to=lpo:ncem=casc2026/models/loop5.pt:sil=8000:tgt=full:npcc=on:sas=cadical:sp=const_frequency:acc=on:urr=ec_only:gs=on:s2agt=40:alpa=false:sac=on:random_seed=1562203842:cts=off:cond=on:i=4272:bs=on:fsd=on_2788 on theBenchmark for (2788ds/4272Mi)
% 149.83/22.47 % (3349975)Instruction limit reached!
% 149.83/22.47 % (3349975)------------------------------
% 149.83/22.47 % (3349975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 149.83/22.47 % (3349975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 149.83/22.47 % (3349975)CaDiCaL version: 2.1.3
% 149.83/22.47 % (3349975)Termination reason: Instruction limit
% 149.83/22.47 % (3349975)Termination phase: Saturation
% 149.83/22.47 % (3349975)Time elapsed: 1.403 s
% 149.83/22.47 % (3349975)Peak memory usage: 153 MB
% 149.83/22.47 % (3349975)Instructions burned: 3981 (million)
% 149.83/22.47 % (3349977)Refutation found. Thanks to Tanya!
% 149.83/22.47 % SZS status Unsatisfiable for theBenchmark
% 149.83/22.47 % SZS output start Proof for theBenchmark
% See solution above
% 151.94/22.67 % (3349977)------------------------------
% 151.94/22.67 % (3349977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 151.94/22.67 % (3349977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 151.94/22.67 % (3349977)CaDiCaL version: 2.1.3
% 151.94/22.67 % (3349977)Termination reason: Refutation
% 151.94/22.67 % (3349977)Time elapsed: 0.992 s
% 151.94/22.67 % (3349977)Peak memory usage: 134 MB
% 151.94/22.67 % (3349977)Instructions burned: 1502 (million)
% 151.94/22.67 % (3349977)------------------------------
% 151.94/22.67 % (3349977)------------------------------
% 151.94/22.67 % (3349692)Success in time 21.621 s
% 151.94/22.67 % Vampire exiting
%------------------------------------------------------------------------------