%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM099-1 : 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 : n003.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 12:11:45 PM UTC 2026
% Result : Unsatisfiable 131.07s 22.51s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 29
% Syntax : Number of formulae : 138 ( 45 unt; 2 def)
% Number of atoms : 274 ( 63 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 259 ( 123 ~; 136 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 5 con; 0-3 aty)
% Number of variables : 222 ( 222 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
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(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f5,axiom,
! [X0,X1] :
( X0 != X1
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_implies_subclass1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/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/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(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(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( member(ordered_pair(X0,X2),cross_product(X1,X3))
| ~ member(X2,X3)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product3) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ordered_pair(first(X0),second(X0)) = X0
| ~ member(X0,cross_product(X1,X2)) ),
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(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
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(f29,axiom,
! [X2,X0,X1] : intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction2) ).
fof(f30,axiom,
! [X0,X1] :
( restrict(X0,singleton(X1),universal_class) != null_class
| ~ member(X1,domain_of(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f54,axiom,
! [X0] : domain_of(restrict(element_relation,universal_class,X0)) = sum_class(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_class_definition) ).
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(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f126,axiom,
! [X0,X1] :
( ~ subclass(cross_product(X0,X0),union(identity_relation,symmetrization_of(X1)))
| connected(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',connected2) ).
fof(f141,axiom,
! [X0,X1] :
( ~ connected(X0,X1)
| not_well_ordering(X0,X1) != null_class
| well_ordering(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_ordering6) ).
fof(f142,plain,
! [X0,X1] :
( ~ connected(X0,X1)
| null_class != not_well_ordering(X0,X1)
| well_ordering(X0,X1) ),
inference(reorient_equations,[],[f141]) ).
fof(f143,axiom,
! [X0,X1] :
( subclass(not_well_ordering(X0,X1),X1)
| ~ connected(X0,X1)
| well_ordering(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_ordering7) ).
fof(f151,axiom,
! [X0] :
( ~ subclass(sum_class(X0),X0)
| ~ well_ordering(element_relation,X0)
| ~ member(X0,universal_class)
| member(X0,ordinal_numbers) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordinal_numbers3) ).
fof(f152,axiom,
! [X0] :
( ~ well_ordering(element_relation,X0)
| ~ subclass(sum_class(X0),X0)
| member(X0,ordinal_numbers)
| X0 = ordinal_numbers ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordinal_numbers4) ).
fof(f153,plain,
! [X0] :
( ~ subclass(sum_class(X0),X0)
| ~ well_ordering(element_relation,X0)
| member(X0,ordinal_numbers)
| ordinal_numbers = X0 ),
inference(reorient_equations,[],[f152]) ).
fof(f176,negated_conjecture,
~ subclass(singleton(null_class),ordinal_numbers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_ordinal_property1_1) ).
fof(f177,definition,
~ sP0(null_class),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f178,plain,
! [X0,X1] :
( sP0(restrict(X0,singleton(X1),universal_class))
| ~ member(X1,domain_of(X0)) ),
inference(inequality_splitting,[],[f30,f177]) ).
fof(f181,definition,
~ sP2(null_class),
introduced(definition,[new_symbols(definition,[sP2])],[inequality_splitting_name_introduction]) ).
fof(f182,plain,
! [X0,X1] :
( sP2(not_well_ordering(X0,X1))
| ~ connected(X0,X1)
| well_ordering(X0,X1) ),
inference(inequality_splitting,[],[f142,f181]) ).
fof(f185,plain,
! [X1] : subclass(X1,X1),
inference(equality_resolution,[],[f5]) ).
fof(f203,plain,
! [X2,X0,X1] :
( ~ subclass(X2,complement(X1))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(resolution,[],[f24,f1]) ).
fof(f220,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f21,f2]) ).
fof(f232,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f22,f2]) ).
fof(f254,plain,
! [X0,X1] :
( member(X0,X1)
| ~ member(X0,null_class)
| null_class = X1 ),
inference(superposition,[],[f21,f70]) ).
fof(f340,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f14,f17]) ).
fof(f341,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),X2)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f15,f17]) ).
fof(f344,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),X2) ),
inference(condensation,[],[f341]) ).
fof(f345,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1) ),
inference(condensation,[],[f340]) ).
fof(f599,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f220,f3]) ).
fof(f619,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f599]) ).
fof(f625,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f619,f70]) ).
fof(f638,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f625,f7]) ).
fof(f643,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f638]) ).
fof(f682,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X1)
| subclass(intersection(X0,X1),X1) ),
inference(resolution,[],[f232,f3]) ).
fof(f704,plain,
! [X0,X1] : subclass(intersection(X0,X1),X1),
inference(duplicate_literal_removal,[],[f682]) ).
fof(f727,plain,
! [X2,X0,X1] :
( member(first(not_subclass_element(cross_product(X0,X1),X2)),X0)
| subclass(cross_product(X0,X1),X2) ),
inference(resolution,[],[f345,f2]) ).
fof(f732,plain,
! [X0,X1] :
( member(first(regular(cross_product(X0,X1))),X0)
| cross_product(X0,X1) = null_class ),
inference(resolution,[],[f345,f68]) ).
fof(f934,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1
| X0 = X1 ),
inference(superposition,[],[f8,f12]) ).
fof(f936,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f934]) ).
fof(f937,plain,
! [X0,X1] :
( singleton(X0) = null_class
| ~ member(X1,null_class)
| X0 = X1 ),
inference(resolution,[],[f936,f254]) ).
fof(f939,plain,
! [X0,X1] :
( not_subclass_element(singleton(X0),X1) = X0
| subclass(singleton(X0),X1) ),
inference(resolution,[],[f936,f2]) ).
fof(f952,plain,
! [X0,X1] :
( member(X0,singleton(X0))
| subclass(singleton(X0),X1)
| subclass(singleton(X0),X1) ),
inference(superposition,[],[f2,f939]) ).
fof(f953,plain,
! [X0,X1] :
( ~ member(X0,X1)
| subclass(singleton(X0),X1)
| subclass(singleton(X0),X1) ),
inference(superposition,[],[f3,f939]) ).
fof(f956,plain,
! [X0,X1] :
( subclass(singleton(X0),X1)
| ~ member(X0,X1) ),
inference(duplicate_literal_removal,[],[f953]) ).
fof(f957,plain,
! [X0,X1] :
( member(X0,singleton(X0))
| subclass(singleton(X0),X1) ),
inference(duplicate_literal_removal,[],[f952]) ).
fof(f1011,plain,
~ member(null_class,ordinal_numbers),
inference(resolution,[],[f956,f176]) ).
fof(f1022,plain,
! [X0] :
( ~ member(null_class,X0)
| ~ subclass(X0,ordinal_numbers) ),
inference(resolution,[],[f1011,f1]) ).
fof(f1128,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ subclass(null_class,ordinal_numbers)
| null_class = X0 ),
inference(superposition,[],[f176,f937]) ).
fof(f1148,plain,
! [X0] :
( null_class = not_subclass_element(null_class,X0)
| ~ subclass(null_class,ordinal_numbers)
| subclass(null_class,X0) ),
inference(resolution,[],[f1128,f2]) ).
fof(f1224,plain,
! [X0] :
( member(null_class,null_class)
| subclass(null_class,X0)
| ~ subclass(null_class,ordinal_numbers)
| subclass(null_class,X0) ),
inference(superposition,[],[f2,f1148]) ).
fof(f1231,plain,
! [X0] :
( member(null_class,null_class)
| subclass(null_class,X0)
| ~ subclass(null_class,ordinal_numbers) ),
inference(duplicate_literal_removal,[],[f1224]) ).
fof(f1235,plain,
! [X0] :
( subclass(null_class,X0)
| ~ subclass(null_class,ordinal_numbers) ),
inference(forward_subsumption_resolution,[],[f1231,f1022]) ).
fof(f1241,plain,
! [X0,X1] :
( ~ subclass(null_class,ordinal_numbers)
| ~ member(X0,null_class)
| ~ member(X0,X1) ),
inference(resolution,[],[f1235,f203]) ).
fof(f1246,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ subclass(null_class,ordinal_numbers) ),
inference(condensation,[],[f1241]) ).
fof(f1263,plain,
! [X0] :
( null_class = cross_product(null_class,X0)
| ~ subclass(null_class,ordinal_numbers) ),
inference(resolution,[],[f1246,f732]) ).
fof(f1308,plain,
! [X0] : null_class = intersection(X0,null_class),
inference(resolution,[],[f643,f704]) ).
fof(f1333,plain,
! [X0] : subclass(null_class,X0),
inference(superposition,[],[f619,f1308]) ).
fof(f1336,plain,
! [X0,X1] : null_class = restrict(null_class,X0,X1),
inference(superposition,[],[f29,f1308]) ).
fof(f1342,plain,
! [X0,X1] :
( ~ member(X0,null_class)
| ~ member(X0,X1) ),
inference(resolution,[],[f1333,f203]) ).
fof(f1348,plain,
! [X0] : ~ member(X0,null_class),
inference(condensation,[],[f1342]) ).
fof(f1356,plain,
! [X0] : null_class = cross_product(null_class,X0),
inference(resolution,[],[f1348,f732]) ).
fof(f1373,plain,
! [X0] :
( ~ subclass(null_class,union(identity_relation,symmetrization_of(X0)))
| connected(X0,null_class) ),
inference(superposition,[],[f126,f1356]) ).
fof(f1375,plain,
! [X0] : connected(X0,null_class),
inference(forward_subsumption_resolution,[],[f1373,f1333]) ).
fof(f1406,plain,
! [X0] :
( sP0(null_class)
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f178,f1336]) ).
fof(f1408,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(forward_subsumption_resolution,[],[f1406,f177]) ).
fof(f1607,plain,
! [X0,X1] :
( member(second(regular(cross_product(X0,X1))),X1)
| cross_product(X0,X1) = null_class ),
inference(resolution,[],[f344,f68]) ).
fof(f1634,plain,
! [X0] :
( null_class = cross_product(X0,null_class)
| ~ subclass(null_class,ordinal_numbers) ),
inference(resolution,[],[f1607,f1246]) ).
fof(f1648,plain,
! [X0] : null_class = cross_product(X0,null_class),
inference(forward_subsumption_resolution,[],[f1634,f1333]) ).
fof(f1658,plain,
! [X0,X1] : intersection(X0,null_class) = restrict(X0,X1,null_class),
inference(superposition,[],[f28,f1648]) ).
fof(f1665,plain,
! [X0,X1] : null_class = restrict(X0,X1,null_class),
inference(forward_demodulation,[],[f1658,f1308]) ).
fof(f1668,plain,
domain_of(null_class) = sum_class(null_class),
inference(superposition,[],[f54,f1665]) ).
fof(f1906,plain,
! [X0] : null_class = cross_product(domain_of(null_class),X0),
inference(resolution,[],[f1408,f732]) ).
fof(f1923,plain,
! [X0] : null_class = cross_product(sum_class(null_class),X0),
inference(forward_demodulation,[],[f1906,f1668]) ).
fof(f1932,plain,
! [X2,X0,X1] :
( member(ordered_pair(X0,X1),null_class)
| ~ member(X1,X2)
| ~ member(X0,sum_class(null_class)) ),
inference(superposition,[],[f16,f1923]) ).
fof(f1944,plain,
! [X2,X0,X1] :
( ~ member(X1,X2)
| ~ member(X0,sum_class(null_class)) ),
inference(forward_subsumption_resolution,[],[f1932,f1348]) ).
fof(f1945,plain,
! [X0] : ~ member(X0,sum_class(null_class)),
inference(condensation,[],[f1944]) ).
fof(f1953,plain,
! [X0] : null_class = cross_product(X0,sum_class(null_class)),
inference(resolution,[],[f1945,f1607]) ).
fof(f1955,plain,
null_class = sum_class(null_class),
inference(resolution,[],[f1945,f68]) ).
fof(f2007,plain,
( ~ subclass(null_class,null_class)
| ~ well_ordering(element_relation,null_class)
| member(null_class,ordinal_numbers)
| null_class = ordinal_numbers ),
inference(superposition,[],[f153,f1955]) ).
fof(f2011,plain,
( ~ well_ordering(element_relation,null_class)
| member(null_class,ordinal_numbers)
| null_class = ordinal_numbers ),
inference(forward_subsumption_resolution,[],[f2007,f185]) ).
fof(f2013,plain,
( ~ well_ordering(element_relation,null_class)
| null_class = ordinal_numbers ),
inference(forward_subsumption_resolution,[],[f2011,f1011]) ).
fof(f2222,plain,
! [X0,X1] :
( subclass(cross_product(null_class,X0),X1)
| ~ subclass(null_class,ordinal_numbers) ),
inference(resolution,[],[f727,f1246]) ).
fof(f2248,plain,
! [X0,X1] : subclass(cross_product(null_class,X0),X1),
inference(forward_subsumption_resolution,[],[f2222,f1333]) ).
fof(f2251,plain,
! [X0,X1] :
( ~ subclass(X0,cross_product(null_class,X1))
| cross_product(null_class,X1) = X0 ),
inference(resolution,[],[f2248,f7]) ).
fof(f2255,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(null_class,X1))
| ~ member(X0,X2) ),
inference(resolution,[],[f2248,f203]) ).
fof(f2273,plain,
! [X0,X1] : ~ member(X0,cross_product(null_class,X1)),
inference(condensation,[],[f2255]) ).
fof(f2276,plain,
! [X0,X1] :
( ~ subclass(X0,cross_product(null_class,X1))
| null_class = X0 ),
inference(forward_demodulation,[],[f2251,f1356]) ).
fof(f2279,plain,
! [X2,X0,X1] :
( ~ subclass(X1,cross_product(null_class,X2))
| ~ member(X0,X1) ),
inference(resolution,[],[f2273,f1]) ).
fof(f2285,plain,
! [X2,X0,X1] : subclass(cross_product(cross_product(null_class,X0),X1),X2),
inference(resolution,[],[f2273,f727]) ).
fof(f2324,plain,
! [X0,X1] : connected(X0,cross_product(null_class,X1)),
inference(resolution,[],[f2285,f126]) ).
fof(f2459,plain,
! [X0,X1] :
( null_class = not_well_ordering(X0,cross_product(null_class,X1))
| ~ connected(X0,cross_product(null_class,X1))
| well_ordering(X0,cross_product(null_class,X1)) ),
inference(resolution,[],[f2276,f143]) ).
fof(f2474,plain,
! [X0,X1] :
( null_class = not_well_ordering(X0,cross_product(null_class,X1))
| well_ordering(X0,cross_product(null_class,X1)) ),
inference(forward_subsumption_resolution,[],[f2459,f2324]) ).
fof(f2480,plain,
! [X0,X1] :
( well_ordering(X0,cross_product(null_class,X1))
| null_class = not_well_ordering(X0,null_class) ),
inference(forward_demodulation,[],[f2474,f1356]) ).
fof(f2623,plain,
! [X2,X0] :
( ~ subclass(X0,null_class)
| ~ member(X2,X0)
| ~ subclass(null_class,ordinal_numbers) ),
inference(superposition,[],[f2279,f1263]) ).
fof(f2632,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ subclass(X0,null_class) ),
inference(forward_subsumption_resolution,[],[f2623,f1333]) ).
fof(f2655,plain,
! [X0,X1] :
( cross_product(X0,X1) = null_class
| ~ subclass(X0,null_class) ),
inference(resolution,[],[f2632,f732]) ).
fof(f3662,plain,
! [X0] :
( well_ordering(X0,null_class)
| null_class = not_well_ordering(X0,null_class)
| ~ subclass(null_class,null_class) ),
inference(superposition,[],[f2480,f2655]) ).
fof(f3669,plain,
! [X0] :
( null_class = not_well_ordering(X0,null_class)
| well_ordering(X0,null_class) ),
inference(forward_subsumption_resolution,[],[f3662,f185]) ).
fof(f3673,plain,
! [X0] :
( sP2(null_class)
| ~ connected(X0,null_class)
| well_ordering(X0,null_class)
| well_ordering(X0,null_class) ),
inference(superposition,[],[f182,f3669]) ).
fof(f3676,plain,
! [X0] :
( sP2(null_class)
| ~ connected(X0,null_class)
| well_ordering(X0,null_class) ),
inference(duplicate_literal_removal,[],[f3673]) ).
fof(f3677,plain,
! [X0] :
( ~ connected(X0,null_class)
| well_ordering(X0,null_class) ),
inference(forward_subsumption_resolution,[],[f3676,f181]) ).
fof(f3678,plain,
! [X0] : well_ordering(X0,null_class),
inference(forward_subsumption_resolution,[],[f3677,f1375]) ).
fof(f3679,plain,
null_class = ordinal_numbers,
inference(resolution,[],[f3678,f2013]) ).
fof(f3686,plain,
~ subclass(singleton(ordinal_numbers),ordinal_numbers),
inference(superposition,[],[f176,f3679]) ).
fof(f3717,plain,
! [X0] :
( subclass(ordinal_numbers,X0)
| ~ subclass(ordinal_numbers,ordinal_numbers) ),
inference(superposition,[],[f1235,f3679]) ).
fof(f3745,plain,
! [X0] : ordinal_numbers = cross_product(X0,sum_class(ordinal_numbers)),
inference(superposition,[],[f1953,f3679]) ).
fof(f3793,plain,
! [X0] : well_ordering(X0,ordinal_numbers),
inference(superposition,[],[f3678,f3679]) ).
fof(f3797,plain,
! [X0] : subclass(ordinal_numbers,X0),
inference(forward_subsumption_resolution,[],[f3717,f185]) ).
fof(f3806,plain,
! [X0,X1] :
( ~ member(X0,ordinal_numbers)
| ~ member(X0,X1) ),
inference(resolution,[],[f3797,f203]) ).
fof(f3813,plain,
! [X0] : ~ member(X0,ordinal_numbers),
inference(condensation,[],[f3806]) ).
fof(f4195,plain,
! [X2,X0,X1] :
( member(ordered_pair(X0,X1),ordinal_numbers)
| ~ member(X1,sum_class(ordinal_numbers))
| ~ member(X0,X2) ),
inference(superposition,[],[f16,f3745]) ).
fof(f4252,plain,
! [X2,X0,X1] :
( ~ member(X1,sum_class(ordinal_numbers))
| ~ member(X0,X2) ),
inference(forward_subsumption_resolution,[],[f4195,f3813]) ).
fof(f4253,plain,
! [X1] : ~ member(X1,sum_class(ordinal_numbers)),
inference(condensation,[],[f4252]) ).
fof(f4264,plain,
null_class = sum_class(ordinal_numbers),
inference(resolution,[],[f4253,f68]) ).
fof(f4275,plain,
ordinal_numbers = sum_class(ordinal_numbers),
inference(forward_demodulation,[],[f4264,f3679]) ).
fof(f4311,plain,
( ~ subclass(ordinal_numbers,ordinal_numbers)
| ~ well_ordering(element_relation,ordinal_numbers)
| ~ member(ordinal_numbers,universal_class)
| member(ordinal_numbers,ordinal_numbers) ),
inference(superposition,[],[f151,f4275]) ).
fof(f4313,plain,
( ~ well_ordering(element_relation,ordinal_numbers)
| ~ member(ordinal_numbers,universal_class)
| member(ordinal_numbers,ordinal_numbers) ),
inference(forward_subsumption_resolution,[],[f4311,f185]) ).
fof(f4314,plain,
( ~ member(ordinal_numbers,universal_class)
| member(ordinal_numbers,ordinal_numbers) ),
inference(forward_subsumption_resolution,[],[f4313,f3793]) ).
fof(f4315,plain,
~ member(ordinal_numbers,universal_class),
inference(forward_subsumption_resolution,[],[f4314,f3813]) ).
fof(f4317,plain,
! [X0] :
( ~ member(ordinal_numbers,X0)
| ~ subclass(X0,universal_class) ),
inference(resolution,[],[f4315,f1]) ).
fof(f4318,plain,
! [X0] : ~ member(ordinal_numbers,X0),
inference(forward_subsumption_resolution,[],[f4317,f4]) ).
fof(f4319,plain,
$false,
inference(unit_resulting_resolution,[],[f957,f3686,f4318]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM099-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n003.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 : Sun Sep 27 18:54:26 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 12.30/2.61 % (858235)Input is clausal, will run a generic CNF schedule.
% 12.30/2.61 % (858241)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3009739366:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 12.30/2.61 % (858240)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=897826206:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 12.30/2.61 % (858246)dis-21_1_sil=8000:lcm=predicate:random_seed=1413729129: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)
% 12.30/2.61 % (858244)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3302522899:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 12.30/2.61 % (858245)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2465829957:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 12.30/2.61 % (858242)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4148262180:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 12.30/2.61 % (858243)lrs+10_1_sil=8000:sp=occurrence:random_seed=3050047057:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 12.30/2.61 % (858243)Instruction limit reached!
% 12.30/2.61 % (858243)------------------------------
% 12.30/2.61 % (858243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.30/2.61 % (858243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.30/2.61 % (858243)CaDiCaL version: 2.1.3
% 12.30/2.61 % (858243)Termination reason: Instruction limit
% 12.30/2.61 % (858243)Termination phase: Saturation
% 12.30/2.61 % (858243)Time elapsed: 0.042 s
% 12.30/2.61 % (858243)Peak memory usage: 88 MB
% 12.30/2.61 % (858243)Instructions burned: 110 (million)
% 12.30/2.61 % (858246)Instruction limit reached!
% 12.30/2.61 % (858246)------------------------------
% 12.30/2.61 % (858246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.30/2.61 % (858246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.30/2.61 % (858246)CaDiCaL version: 2.1.3
% 12.30/2.61 % (858246)Termination reason: Instruction limit
% 12.30/2.61 % (858246)Termination phase: Saturation
% 12.30/2.61 % (858246)Time elapsed: 0.062 s
% 12.30/2.61 % (858246)Peak memory usage: 89 MB
% 12.30/2.61 % (858246)Instructions burned: 118 (million)
% 12.30/2.61 % (858244)Instruction limit reached!
% 12.30/2.61 % (858244)------------------------------
% 12.30/2.61 % (858244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.30/2.61 % (858244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.30/2.61 % (858244)CaDiCaL version: 2.1.3
% 12.30/2.61 % (858244)Termination reason: Instruction limit
% 12.30/2.61 % (858244)Termination phase: Saturation
% 12.30/2.61 % (858244)Time elapsed: 0.069 s
% 12.30/2.61 % (858244)Peak memory usage: 88 MB
% 12.30/2.61 % (858244)Instructions burned: 115 (million)
% 12.30/2.61 % (858245)Instruction limit reached!
% 12.30/2.61 % (858245)------------------------------
% 12.30/2.61 % (858245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.30/2.61 % (858245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.30/2.61 % (858245)CaDiCaL version: 2.1.3
% 12.30/2.61 % (858245)Termination reason: Instruction limit
% 12.30/2.61 % (858245)Termination phase: Saturation
% 12.30/2.61 % (858245)Time elapsed: 0.137 s
% 12.30/2.61 % (858245)Peak memory usage: 90 MB
% 12.30/2.61 % (858245)Instructions burned: 181 (million)
% 12.30/2.61 % (858254)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=4186022942:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 12.30/2.61 % (858254)Refutation not found, incomplete strategy
% 12.30/2.61 % (858254)------------------------------
% 12.30/2.61 % (858254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.30/2.61 % (858254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.30/2.61 % (858254)CaDiCaL version: 2.1.3
% 12.30/2.61 % (858254)Termination reason: Refutation not found, incomplete strategy
% 12.30/2.61 % (858254)Time elapsed: 0.004 s
% 12.30/2.61 % (858254)Peak memory usage: 88 MB
% 12.30/2.61 % (858254)Instructions burned: 5 (million)
% 12.30/2.61 % (858255)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3719825715: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)
% 23.53/4.15 % (858256)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1142535283:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 23.53/4.15 % (858256)Refutation not found, incomplete strategy
% 23.53/4.15 % (858256)------------------------------
% 23.53/4.15 % (858256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.53/4.15 % (858256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.53/4.15 % (858256)CaDiCaL version: 2.1.3
% 23.53/4.15 % (858256)Termination reason: Refutation not found, incomplete strategy
% 23.53/4.15 % (858256)Time elapsed: 0.004 s
% 23.53/4.15 % (858256)Peak memory usage: 88 MB
% 23.53/4.15 % (858256)Instructions burned: 4 (million)
% 23.53/4.15 % (858257)lrs+10_64_to=lpo:sil=8000:random_seed=3771621099:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 23.53/4.15 % (858255)Instruction limit reached!
% 23.53/4.15 % (858255)------------------------------
% 23.53/4.15 % (858255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.53/4.15 % (858255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.53/4.15 % (858255)CaDiCaL version: 2.1.3
% 23.53/4.15 % (858255)Termination reason: Instruction limit
% 23.53/4.15 % (858255)Termination phase: Saturation
% 23.53/4.15 % (858255)Time elapsed: 0.115 s
% 23.53/4.15 % (858255)Peak memory usage: 91 MB
% 23.53/4.15 % (858255)Instructions burned: 189 (million)
% 23.53/4.15 % (858257)Instruction limit reached!
% 23.53/4.15 % (858257)------------------------------
% 23.53/4.15 % (858257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.53/4.15 % (858257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.53/4.15 % (858257)CaDiCaL version: 2.1.3
% 23.53/4.15 % (858257)Termination reason: Instruction limit
% 23.53/4.15 % (858257)Termination phase: Saturation
% 23.53/4.15 % (858257)Time elapsed: 0.079 s
% 23.53/4.15 % (858257)Peak memory usage: 90 MB
% 23.53/4.15 % (858257)Instructions burned: 127 (million)
% 23.53/4.15 % (858254)------------------------------
% 23.53/4.15 % (858254)------------------------------
% 23.53/4.15 % (858256)------------------------------
% 23.53/4.15 % (858256)------------------------------
% 23.53/4.15 % (858262)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3687248248:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 23.53/4.15 % (858263)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1763785920:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 23.53/4.15 % (858262)Instruction limit reached!
% 23.53/4.15 % (858262)------------------------------
% 23.53/4.15 % (858262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.53/4.15 % (858262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.53/4.15 % (858262)CaDiCaL version: 2.1.3
% 23.53/4.15 % (858262)Termination reason: Instruction limit
% 23.53/4.15 % (858262)Termination phase: Saturation
% 23.53/4.15 % (858262)Time elapsed: 0.094 s
% 23.53/4.15 % (858262)Peak memory usage: 89 MB
% 23.53/4.15 % (858262)Instructions burned: 195 (million)
% 23.53/4.15 % (858264)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2271406671:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 23.53/4.15 % (858265)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=1655983140:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 23.53/4.15 % (858263)Instruction limit reached!
% 23.53/4.15 % (858263)------------------------------
% 23.53/4.15 % (858263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.53/4.15 % (858263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.53/4.15 % (858263)CaDiCaL version: 2.1.3
% 23.53/4.15 % (858263)Termination reason: Instruction limit
% 23.53/4.15 % (858263)Termination phase: Saturation
% 23.53/4.15 % (858263)Time elapsed: 0.111 s
% 23.53/4.15 % (858263)Peak memory usage: 91 MB
% 23.53/4.15 % (858263)Instructions burned: 158 (million)
% 23.53/4.15 % (858265)Instruction limit reached!
% 23.53/4.15 % (858265)------------------------------
% 23.53/4.15 % (858265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.53/4.15 % (858265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.37/5.72 % (858265)CaDiCaL version: 2.1.3
% 34.37/5.72 % (858265)Termination reason: Instruction limit
% 34.37/5.72 % (858265)Termination phase: Saturation
% 34.37/5.72 % (858265)Time elapsed: 0.056 s
% 34.37/5.72 % (858265)Peak memory usage: 93 MB
% 34.37/5.72 % (858265)Instructions burned: 106 (million)
% 34.37/5.72 % (858268)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1339667124:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 34.37/5.72 % (858271)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=359578002:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 34.37/5.72 % (858268)Instruction limit reached!
% 34.37/5.72 % (858268)------------------------------
% 34.37/5.72 % (858268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.37/5.72 % (858268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.37/5.72 % (858268)CaDiCaL version: 2.1.3
% 34.37/5.72 % (858268)Termination reason: Instruction limit
% 34.37/5.72 % (858268)Termination phase: Saturation
% 34.37/5.72 % (858268)Time elapsed: 0.073 s
% 34.37/5.72 % (858268)Peak memory usage: 89 MB
% 34.37/5.72 % (858268)Instructions burned: 107 (million)
% 34.37/5.72 % (858272)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2711347777:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 34.37/5.72 % (858271)Instruction limit reached!
% 34.37/5.72 % (858271)------------------------------
% 34.37/5.72 % (858271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.37/5.72 % (858271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.37/5.72 % (858271)CaDiCaL version: 2.1.3
% 34.37/5.72 % (858271)Termination reason: Instruction limit
% 34.37/5.72 % (858271)Termination phase: Saturation
% 34.37/5.72 % (858271)Time elapsed: 0.164 s
% 34.37/5.72 % (858271)Peak memory usage: 90 MB
% 34.37/5.72 % (858271)Instructions burned: 243 (million)
% 34.37/5.72 % (858275)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2855810038:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 34.37/5.72 % (858275)Instruction limit reached!
% 34.37/5.72 % (858275)------------------------------
% 34.37/5.72 % (858275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.37/5.72 % (858275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.37/5.72 % (858275)CaDiCaL version: 2.1.3
% 34.37/5.72 % (858275)Termination reason: Instruction limit
% 34.37/5.72 % (858275)Termination phase: Saturation
% 34.37/5.72 % (858275)Time elapsed: 0.096 s
% 34.37/5.72 % (858275)Peak memory usage: 90 MB
% 34.37/5.72 % (858275)Instructions burned: 135 (million)
% 34.37/5.72 % (858277)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1431076965:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 34.37/5.72 % (858279)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=290397251:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 34.37/5.72 % (858279)Instruction limit reached!
% 34.37/5.72 % (858279)------------------------------
% 34.37/5.72 % (858279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.37/5.72 % (858279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.37/5.72 % (858279)CaDiCaL version: 2.1.3
% 34.37/5.72 % (858279)Termination reason: Instruction limit
% 34.37/5.72 % (858279)Termination phase: Saturation
% 34.37/5.72 % (858279)Time elapsed: 0.109 s
% 34.37/5.72 % (858279)Peak memory usage: 89 MB
% 34.37/5.72 % (858279)Instructions burned: 191 (million)
% 34.37/5.72 % (858277)Instruction limit reached!
% 34.37/5.72 % (858277)------------------------------
% 34.37/5.72 % (858277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.37/5.72 % (858277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.37/5.72 % (858277)CaDiCaL version: 2.1.3
% 34.37/5.72 % (858277)Termination reason: Instruction limit
% 34.37/5.72 % (858277)Termination phase: Saturation
% 34.37/5.72 % (858277)Time elapsed: 0.305 s
% 34.37/5.72 % (858277)Peak memory usage: 94 MB
% 34.37/5.72 % (858277)Instructions burned: 499 (million)
% 34.37/5.72 % (858282)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3048444960:i=264:kws=precedence:fsr=off_2984 on theBenchmark for (2984ds/264Mi)
% 34.37/5.72 % (858283)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2701364661:cond=on:i=156:bs=on:gtg=exists_all:er=known_2984 on theBenchmark for (2984ds/156Mi)
% 54.91/8.65 % (858282)Instruction limit reached!
% 54.91/8.65 % (858282)------------------------------
% 54.91/8.65 % (858282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.91/8.65 % (858282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.91/8.65 % (858282)CaDiCaL version: 2.1.3
% 54.91/8.65 % (858282)Termination reason: Instruction limit
% 54.91/8.65 % (858282)Termination phase: Saturation
% 54.91/8.65 % (858282)Time elapsed: 0.165 s
% 54.91/8.65 % (858282)Peak memory usage: 91 MB
% 54.91/8.65 % (858282)Instructions burned: 265 (million)
% 54.91/8.65 % (858283)Instruction limit reached!
% 54.91/8.65 % (858283)------------------------------
% 54.91/8.65 % (858283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.91/8.65 % (858283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.91/8.65 % (858283)CaDiCaL version: 2.1.3
% 54.91/8.65 % (858283)Termination reason: Instruction limit
% 54.91/8.65 % (858283)Termination phase: Saturation
% 54.91/8.65 % (858283)Time elapsed: 0.091 s
% 54.91/8.65 % (858283)Peak memory usage: 89 MB
% 54.91/8.65 % (858283)Instructions burned: 157 (million)
% 54.91/8.65 % (858287)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=1997556950:i=537:av=off:ss=included_2981 on theBenchmark for (2981ds/537Mi)
% 54.91/8.65 % (858286)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=92448102:i=3256:kws=precedence:bd=preordered:av=off_2981 on theBenchmark for (2981ds/3256Mi)
% 54.91/8.65 % (858287)Instruction limit reached!
% 54.91/8.65 % (858287)------------------------------
% 54.91/8.65 % (858287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.91/8.65 % (858287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.91/8.65 % (858287)CaDiCaL version: 2.1.3
% 54.91/8.65 % (858287)Termination reason: Instruction limit
% 54.91/8.65 % (858287)Termination phase: Saturation
% 54.91/8.65 % (858287)Time elapsed: 0.238 s
% 54.91/8.65 % (858287)Peak memory usage: 88 MB
% 54.91/8.65 % (858287)Instructions burned: 540 (million)
% 54.91/8.65 % (858290)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=2435224057:i=180:bd=preordered:av=off_2977 on theBenchmark for (2977ds/180Mi)
% 54.91/8.65 % (858290)Instruction limit reached!
% 54.91/8.65 % (858290)------------------------------
% 54.91/8.65 % (858290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.91/8.65 % (858290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.91/8.65 % (858290)CaDiCaL version: 2.1.3
% 54.91/8.65 % (858290)Termination reason: Instruction limit
% 54.91/8.65 % (858290)Termination phase: Saturation
% 54.91/8.65 % (858290)Time elapsed: 0.094 s
% 54.91/8.65 % (858290)Peak memory usage: 90 MB
% 54.91/8.65 % (858290)Instructions burned: 180 (million)
% 54.91/8.65 % (858292)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=2778637526:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2975 on theBenchmark for (2975ds/10307Mi)
% 54.91/8.65 % (858264)Instruction limit reached!
% 54.91/8.65 % (858264)------------------------------
% 54.91/8.65 % (858264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.91/8.65 % (858264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.91/8.65 % (858264)CaDiCaL version: 2.1.3
% 54.91/8.65 % (858264)Termination reason: Instruction limit
% 54.91/8.65 % (858264)Termination phase: Saturation
% 54.91/8.65 % (858264)Time elapsed: 2.155 s
% 54.91/8.65 % (858264)Peak memory usage: 149 MB
% 54.91/8.65 % (858264)Instructions burned: 3395 (million)
% 54.91/8.65 % (858294)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=3668959470:i=412:gtgl=4:gtg=exists_all_2970 on theBenchmark for (2970ds/412Mi)
% 54.91/8.65 % (858294)Instruction limit reached!
% 54.91/8.65 % (858294)------------------------------
% 54.91/8.65 % (858294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.91/8.65 % (858294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.91/8.65 % (858294)CaDiCaL version: 2.1.3
% 54.91/8.65 % (858294)Termination reason: Instruction limit
% 54.91/8.65 % (858294)Termination phase: Saturation
% 54.91/8.65 % (858294)Time elapsed: 0.187 s
% 54.91/8.65 % (858294)Peak memory usage: 90 MB
% 81.40/12.37 % (858294)Instructions burned: 413 (million)
% 81.40/12.37 % (858296)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=2883012247:s2pl=no:i=8478:s2at=4:nm=6_2967 on theBenchmark for (2967ds/8478Mi)
% 81.40/12.37 % (858286)Instruction limit reached!
% 81.40/12.37 % (858286)------------------------------
% 81.40/12.37 % (858286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.40/12.37 % (858286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.40/12.37 % (858286)CaDiCaL version: 2.1.3
% 81.40/12.37 % (858286)Termination reason: Instruction limit
% 81.40/12.37 % (858286)Termination phase: Saturation
% 81.40/12.37 % (858286)Time elapsed: 1.898 s
% 81.40/12.37 % (858286)Peak memory usage: 150 MB
% 81.40/12.37 % (858286)Instructions burned: 3257 (million)
% 81.40/12.37 % (858298)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=1257297597:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2960 on theBenchmark for (2960ds/303Mi)
% 81.40/12.37 % (858298)Refutation not found, incomplete strategy
% 81.40/12.37 % (858298)------------------------------
% 81.40/12.37 % (858298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.40/12.37 % (858298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.40/12.37 % (858298)CaDiCaL version: 2.1.3
% 81.40/12.37 % (858298)Termination reason: Refutation not found, incomplete strategy
% 81.40/12.37 % (858298)Time elapsed: 0.002 s
% 81.40/12.37 % (858298)Peak memory usage: 88 MB
% 81.40/12.37 % (858298)Instructions burned: 1 (million)
% 81.40/12.37 % (858272)Instruction limit reached!
% 81.40/12.37 % (858272)------------------------------
% 81.40/12.37 % (858272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.40/12.37 % (858272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.40/12.37 % (858272)CaDiCaL version: 2.1.3
% 81.40/12.37 % (858272)Termination reason: Instruction limit
% 81.40/12.37 % (858272)Termination phase: Saturation
% 81.40/12.37 % (858272)Time elapsed: 3.260 s
% 81.40/12.37 % (858272)Peak memory usage: 160 MB
% 81.40/12.37 % (858272)Instructions burned: 5209 (million)
% 81.40/12.37 % (858298)------------------------------
% 81.40/12.37 % (858298)------------------------------
% 81.40/12.37 % (858301)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=4271719468:i=598:bs=on:bd=preordered:av=off:ss=axioms_2956 on theBenchmark for (2956ds/598Mi)
% 81.40/12.37 % (858300)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=2105470720:st=4:i=720:sd=3:fsr=off:ss=axioms_2956 on theBenchmark for (2956ds/720Mi)
% 81.40/12.37 % (858301)Refutation not found, incomplete strategy
% 81.40/12.37 % (858301)------------------------------
% 81.40/12.37 % (858301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.40/12.37 % (858301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.40/12.37 % (858301)CaDiCaL version: 2.1.3
% 81.40/12.37 % (858301)Termination reason: Refutation not found, incomplete strategy
% 81.40/12.37 % (858301)Time elapsed: 0.003 s
% 81.40/12.37 % (858301)Peak memory usage: 88 MB
% 81.40/12.37 % (858301)Instructions burned: 3 (million)
% 81.40/12.37 % (858300)Refutation not found, incomplete strategy
% 81.40/12.38 % (858300)------------------------------
% 81.40/12.38 % (858300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.40/12.38 % (858300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.40/12.38 % (858300)CaDiCaL version: 2.1.3
% 81.40/12.38 % (858300)Termination reason: Refutation not found, incomplete strategy
% 81.40/12.38 % (858300)Time elapsed: 0.004 s
% 81.40/12.38 % (858300)Peak memory usage: 88 MB
% 81.40/12.38 % (858300)Instructions burned: 5 (million)
% 81.40/12.38 % (858300)------------------------------
% 81.40/12.38 % (858300)------------------------------
% 81.40/12.38 % (858301)------------------------------
% 81.40/12.38 % (858301)------------------------------
% 81.40/12.38 % (858305)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=3613723189:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2952 on theBenchmark for (2952ds/1997Mi)
% 81.40/12.38 % (858304)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=2622907546:i=2989:sd=3:ss=axioms:sgt=60_2952 on theBenchmark for (2952ds/2989Mi)
% 112.98/16.92 % (858305)Instruction limit reached!
% 112.98/16.92 % (858305)------------------------------
% 112.98/16.92 % (858305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.98/16.92 % (858305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.98/16.92 % (858305)CaDiCaL version: 2.1.3
% 112.98/16.92 % (858305)Termination reason: Instruction limit
% 112.98/16.92 % (858305)Termination phase: Saturation
% 112.98/16.92 % (858305)Time elapsed: 1.300 s
% 112.98/16.92 % (858305)Peak memory usage: 137 MB
% 112.98/16.92 % (858305)Instructions burned: 1997 (million)
% 112.98/16.92 % (858308)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=1155883053:i=2088:bd=preordered:av=off_2938 on theBenchmark for (2938ds/2088Mi)
% 112.98/16.92 % (858304)Instruction limit reached!
% 112.98/16.92 % (858304)------------------------------
% 112.98/16.92 % (858304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.98/16.92 % (858304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.98/16.92 % (858304)CaDiCaL version: 2.1.3
% 112.98/16.92 % (858304)Termination reason: Instruction limit
% 112.98/16.92 % (858304)Termination phase: Saturation
% 112.98/16.92 % (858304)Time elapsed: 1.880 s
% 112.98/16.92 % (858304)Peak memory usage: 144 MB
% 112.98/16.92 % (858304)Instructions burned: 2989 (million)
% 112.98/16.92 % (858310)lrs+1010_64:1_anc=all:to=lpo:sil=16000:fde=none:sp=const_frequency:urr=full:sac=on:random_seed=2956472080:i=1098:nicw=on_2932 on theBenchmark for (2932ds/1098Mi)
% 112.98/16.92 % (858296)Instruction limit reached!
% 112.98/16.92 % (858296)------------------------------
% 112.98/16.92 % (858296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.98/16.92 % (858296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.98/16.92 % (858296)CaDiCaL version: 2.1.3
% 112.98/16.92 % (858296)Termination reason: Instruction limit
% 112.98/16.92 % (858296)Termination phase: Saturation
% 112.98/16.92 % (858296)Time elapsed: 3.844 s
% 112.98/16.92 % (858296)Peak memory usage: 170 MB
% 112.98/16.92 % (858296)Instructions burned: 8479 (million)
% 112.98/16.92 % (858312)lrs-1011_32:1_to=lpo:sil=32000:tgt=ground:sos=on:spb=goal_then_units:acc=on:random_seed=1078375396:i=433:bd=preordered_2926 on theBenchmark for (2926ds/433Mi)
% 112.98/16.92 % (858310)Instruction limit reached!
% 112.98/16.92 % (858310)------------------------------
% 112.98/16.92 % (858310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.98/16.92 % (858310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.98/16.92 % (858310)CaDiCaL version: 2.1.3
% 112.98/16.92 % (858310)Termination reason: Instruction limit
% 112.98/16.92 % (858310)Termination phase: Saturation
% 112.98/16.92 % (858310)Time elapsed: 0.664 s
% 112.98/16.92 % (858310)Peak memory usage: 102 MB
% 112.98/16.92 % (858310)Instructions burned: 1098 (million)
% 112.98/16.92 % (858308)Instruction limit reached!
% 112.98/16.92 % (858308)------------------------------
% 112.98/16.92 % (858308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.98/16.92 % (858308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.98/16.92 % (858308)CaDiCaL version: 2.1.3
% 112.98/16.92 % (858308)Termination reason: Instruction limit
% 112.98/16.92 % (858308)Termination phase: Saturation
% 112.98/16.92 % (858308)Time elapsed: 1.304 s
% 112.98/16.92 % (858308)Peak memory usage: 139 MB
% 112.98/16.92 % (858308)Instructions burned: 2089 (million)
% 112.98/16.92 % (858312)Instruction limit reached!
% 112.98/16.92 % (858312)------------------------------
% 112.98/16.92 % (858312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.98/16.92 % (858312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.98/16.92 % (858312)CaDiCaL version: 2.1.3
% 112.98/16.92 % (858312)Termination reason: Instruction limit
% 112.98/16.92 % (858312)Termination phase: Saturation
% 112.98/16.92 % (858312)Time elapsed: 0.178 s
% 112.98/16.92 % (858312)Peak memory usage: 89 MB
% 112.98/16.92 % (858312)Instructions burned: 435 (million)
% 112.98/16.92 % (858314)lrs+1002_1_ncem=casc2026/models/loop3.pt:sil=32000:npcc=on:prc=on:etr=on:spb=goal:flr=on:random_seed=1784658725:st=5.37:cond=on:i=2942:s2at=20:aac=none:fgj=on:bs=on:gtg=exists_sym:ss=axioms:er=filter:sgt=16_2924 on theBenchmark for (2924ds/2942Mi)
% 112.98/16.92 % (858315)lrs+35_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=reverse_arity:urr=full:rp=on:br=off:random_seed=1879346326:i=6922:s2at=5:sd=3:bd=all:ss=axioms:er=known:sgt=32_2923 on theBenchmark for (2923ds/6922Mi)
% 131.53/19.45 % (858316)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=1552285427:s2a=on:i=596:s2at=2.3:gtgl=5:gtg=all:sup=off_2923 on theBenchmark for (2923ds/596Mi)
% 131.53/19.45 % (858316)Instruction limit reached!
% 131.53/19.45 % (858316)------------------------------
% 131.53/19.45 % (858316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 131.53/19.45 % (858316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 131.53/19.45 % (858316)CaDiCaL version: 2.1.3
% 131.53/19.45 % (858316)Termination reason: Instruction limit
% 131.53/19.45 % (858316)Termination phase: Saturation
% 131.53/19.45 % (858316)Time elapsed: 0.321 s
% 131.53/19.45 % (858316)Peak memory usage: 99 MB
% 131.53/19.45 % (858316)Instructions burned: 597 (million)
% 131.53/19.45 % (858320)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=3280608769:i=4123:kws=inv_frequency:bd=preordered:av=off:er=known_2918 on theBenchmark for (2918ds/4123Mi)
% 131.53/19.45 % (858292)Instruction limit reached!
% 131.53/19.45 % (858292)------------------------------
% 131.53/19.45 % (858292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 131.53/19.45 % (858292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 131.53/19.45 % (858292)CaDiCaL version: 2.1.3
% 131.53/19.45 % (858292)Termination reason: Instruction limit
% 131.53/19.45 % (858292)Termination phase: Saturation
% 131.53/19.45 % (858292)Time elapsed: 6.383 s
% 131.53/19.45 % (858292)Peak memory usage: 169 MB
% 131.53/19.45 % (858292)Instructions burned: 10307 (million)
% 131.53/19.45 % (858322)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1615133411:i=16411:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2909 on theBenchmark for (2909ds/16411Mi)
% 131.53/19.45 % (858314)Instruction limit reached!
% 131.53/19.45 % (858314)------------------------------
% 131.53/19.45 % (858314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 131.53/19.45 % (858314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 131.53/19.45 % (858314)CaDiCaL version: 2.1.3
% 131.53/19.45 % (858314)Termination reason: Instruction limit
% 131.53/19.45 % (858314)Termination phase: Saturation
% 131.53/19.45 % (858314)Time elapsed: 1.935 s
% 131.53/19.45 % (858314)Peak memory usage: 144 MB
% 131.53/19.45 % (858314)Instructions burned: 2943 (million)
% 131.53/19.45 % (858324)lrs+0_1_ncem=casc2026/models/loop1.pt:sil=8000:tgt=full:npcc=on:sp=reverse_frequency:gs=on:random_seed=1750557286:i=1670:kws=inv_precedence:bd=all:av=off:gtg=exists_all_2903 on theBenchmark for (2903ds/1670Mi)
% 131.53/19.45 % (858320)Instruction limit reached!
% 131.53/19.45 % (858320)------------------------------
% 131.53/19.45 % (858320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 131.53/19.45 % (858320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 131.53/19.45 % (858320)CaDiCaL version: 2.1.3
% 131.53/19.45 % (858320)Termination reason: Instruction limit
% 131.53/19.45 % (858320)Termination phase: Saturation
% 131.53/19.45 % (858320)Time elapsed: 2.481 s
% 131.53/19.45 % (858320)Peak memory usage: 151 MB
% 131.53/19.45 % (858320)Instructions burned: 4124 (million)
% 131.53/19.45 % (858324)Instruction limit reached!
% 131.53/19.45 % (858324)------------------------------
% 131.53/19.45 % (858324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 131.53/19.45 % (858324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 131.53/19.45 % (858324)CaDiCaL version: 2.1.3
% 131.53/19.45 % (858324)Termination reason: Instruction limit
% 131.53/19.45 % (858324)Termination phase: Saturation
% 131.53/19.45 % (858324)Time elapsed: 1.043 s
% 131.53/19.45 % (858324)Peak memory usage: 137 MB
% 131.53/19.45 % (858324)Instructions burned: 1672 (million)
% 131.53/19.45 % (858326)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=4128735420:st=3:cond=fast:i=1722:sd=2:ss=included:fsd=on_2891 on theBenchmark for (2891ds/1722Mi)
% 131.53/19.45 % (858327)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=1525355370:cts=off:cond=on:i=9530:bs=on:fsd=on_2891 on theBenchmark for (2891ds/9530Mi)
% 131.53/19.45 % (858315)Instruction limit reached!
% 131.53/19.45 % (858315)------------------------------
% 148.25/21.84 % (858315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 148.25/21.84 % (858315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.25/21.84 % (858315)CaDiCaL version: 2.1.3
% 148.25/21.84 % (858315)Termination reason: Instruction limit
% 148.25/21.84 % (858315)Termination phase: Saturation
% 148.25/21.84 % (858315)Time elapsed: 3.723 s
% 148.25/21.84 % (858315)Peak memory usage: 188 MB
% 148.25/21.84 % (858315)Instructions burned: 6923 (million)
% 148.25/21.84 % (858330)lrs+10_1_ncem=casc2026/models/loop4.pt:sil=64000:npcc=on:sp=occurrence:random_seed=4218999803:st=2:i=4495:sd=10:ss=included_2884 on theBenchmark for (2884ds/4495Mi)
% 148.25/21.84 % (858326)Refutation not found, incomplete strategy
% 148.25/21.84 % (858326)------------------------------
% 148.25/21.84 % (858326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 148.25/21.84 % (858326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.25/21.84 % (858326)CaDiCaL version: 2.1.3
% 148.25/21.84 % (858326)Termination reason: Refutation not found, incomplete strategy
% 148.25/21.84 % (858326)Time elapsed: 0.806 s
% 148.25/21.84 % (858326)Peak memory usage: 130 MB
% 148.25/21.84 % (858326)Instructions burned: 1140 (million)
% 148.25/21.84 % (858326)------------------------------
% 148.25/21.84 % (858326)------------------------------
% 148.25/21.84 % (858332)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=4273562884:cond=fast:i=4920:s2at=1.9:kws=inv_frequency:av=off:er=filter_2879 on theBenchmark for (2879ds/4920Mi)
% 148.25/21.84 % (858330)Instruction limit reached!
% 148.25/21.84 % (858330)------------------------------
% 148.25/21.84 % (858330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 148.25/21.84 % (858330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.25/21.84 % (858330)CaDiCaL version: 2.1.3
% 148.25/21.84 % (858330)Termination reason: Instruction limit
% 148.25/21.84 % (858330)Termination phase: Saturation
% 148.25/21.84 % (858330)Time elapsed: 2.549 s
% 148.25/21.84 % (858330)Peak memory usage: 161 MB
% 148.25/21.84 % (858330)Instructions burned: 4496 (million)
% 148.25/21.84 % (858334)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=2284041534:cts=off:cond=on:i=2083:s2at=-1:fgj=on:av=off_2857 on theBenchmark for (2857ds/2083Mi)
% 148.25/21.85 % (858332)Instruction limit reached!
% 148.25/21.85 % (858332)------------------------------
% 148.25/21.85 % (858332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 148.25/21.85 % (858332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.25/21.85 % (858332)CaDiCaL version: 2.1.3
% 148.25/21.85 % (858332)Termination reason: Instruction limit
% 148.25/21.85 % (858332)Termination phase: Saturation
% 148.25/21.85 % (858332)Time elapsed: 3.064 s
% 148.25/21.85 % (858332)Peak memory usage: 150 MB
% 148.25/21.85 % (858332)Instructions burned: 4921 (million)
% 148.25/21.85 % (858336)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=4037293471:i=4629:av=off:gsp=on_2847 on theBenchmark for (2847ds/4629Mi)
% 148.25/21.85 % (858334)Instruction limit reached!
% 148.25/21.85 % (858334)------------------------------
% 148.25/21.85 % (858334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 148.25/21.85 % (858334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.25/21.85 % (858334)CaDiCaL version: 2.1.3
% 148.25/21.85 % (858334)Termination reason: Instruction limit
% 148.25/21.85 % (858334)Termination phase: Saturation
% 148.25/21.85 % (858334)Time elapsed: 1.308 s
% 148.25/21.85 % (858334)Peak memory usage: 137 MB
% 148.25/21.85 % (858334)Instructions burned: 2084 (million)
% 148.25/21.85 % (858338)dis+10_64_sil=16000:tgt=full:plsq=on:prc=on:drc=off:plsqc=2:plsqr=32,1:spb=goal:random_seed=882314125:i=1258:av=off_2842 on theBenchmark for (2842ds/1258Mi)
% 148.25/21.85 % (858336)Refutation not found, incomplete strategy
% 148.25/21.85 % (858336)------------------------------
% 148.25/21.85 % (858336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 148.25/21.85 % (858336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.25/21.85 % (858336)CaDiCaL version: 2.1.3
% 148.25/21.85 % (858336)Termination reason: Refutation not found, incomplete strategy
% 148.25/21.85 % (858336)Time elapsed: 0.620 s
% 148.25/21.85 % (858336)Peak memory usage: 130 MB
% 148.25/21.85 % (858336)Instructions burned: 941 (million)
% 131.07/22.51 % (858336)------------------------------
% 131.07/22.51 % (858336)------------------------------
% 131.07/22.51 % (858340)ott+1_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:fdtod=off:random_seed=2594387550:i=7343:av=off:ss=included_2837 on theBenchmark for (2837ds/7343Mi)
% 131.07/22.51 % (858338)Instruction limit reached!
% 131.07/22.51 % (858338)------------------------------
% 131.07/22.51 % (858338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 131.07/22.51 % (858338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 131.07/22.51 % (858338)CaDiCaL version: 2.1.3
% 131.07/22.51 % (858338)Termination reason: Instruction limit
% 131.07/22.51 % (858338)Termination phase: Saturation
% 131.07/22.51 % (858338)Time elapsed: 0.716 s
% 131.07/22.51 % (858338)Peak memory usage: 94 MB
% 131.07/22.51 % (858338)Instructions burned: 1260 (million)
% 131.07/22.51 % (858342)lrs-1002_1_to=lpo:sil=16000:sp=reverse_arity:sos=on:random_seed=373491423:i=1325:sd=2:ss=axioms:sgt=16_2833 on theBenchmark for (2833ds/1325Mi)
% 131.07/22.51 % (858340)Refutation not found, incomplete strategy
% 131.07/22.51 % (858340)------------------------------
% 131.07/22.51 % (858340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 131.07/22.51 % (858340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 131.07/22.51 % (858340)CaDiCaL version: 2.1.3
% 131.07/22.51 % (858340)Termination reason: Refutation not found, incomplete strategy
% 131.07/22.51 % (858340)Time elapsed: 0.593 s
% 131.07/22.51 % (858340)Peak memory usage: 127 MB
% 131.07/22.51 % (858340)Instructions burned: 901 (million)
% 131.07/22.51 % (858327)Instruction limit reached!
% 131.07/22.51 % (858327)------------------------------
% 131.07/22.51 % (858327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 131.07/22.51 % (858327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 131.07/22.51 % (858327)CaDiCaL version: 2.1.3
% 131.07/22.51 % (858327)Termination reason: Instruction limit
% 131.07/22.51 % (858327)Termination phase: Saturation
% 131.07/22.51 % (858327)Time elapsed: 6.024 s
% 131.07/22.51 % (858327)Peak memory usage: 181 MB
% 131.07/22.51 % (858327)Instructions burned: 9531 (million)
% 131.07/22.51 % (858344)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=2782562522:st=3.9:cond=fast:i=2646:s2at=1.8:sd=5:amm=off:gtg=position:ss=axioms:fsd=on_2829 on theBenchmark for (2829ds/2646Mi)
% 131.07/22.51 % (858340)------------------------------
% 131.07/22.51 % (858340)------------------------------
% 131.07/22.51 % (858346)dis-1003_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:sp=arity:sos=on:urr=on:random_seed=1105595827:i=1489:sd=2:ep=R:ss=axioms_2827 on theBenchmark for (2827ds/1489Mi)
% 131.07/22.51 % (858342)Instruction limit reached!
% 131.07/22.51 % (858342)------------------------------
% 131.07/22.51 % (858342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 131.07/22.51 % (858342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 131.07/22.51 % (858342)CaDiCaL version: 2.1.3
% 131.07/22.51 % (858342)Termination reason: Instruction limit
% 131.07/22.51 % (858342)Termination phase: Saturation
% 131.07/22.51 % (858342)Time elapsed: 0.730 s
% 131.07/22.51 % (858342)Peak memory usage: 98 MB
% 131.07/22.51 % (858342)Instructions burned: 1326 (million)
% 131.07/22.51 % (858348)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=3247609231:i=1503_2824 on theBenchmark for (2824ds/1503Mi)
% 131.07/22.51 % (858346)Refutation not found, incomplete strategy
% 131.07/22.51 % (858346)------------------------------
% 131.07/22.51 % (858346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 131.07/22.51 % (858346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 131.07/22.51 % (858346)CaDiCaL version: 2.1.3
% 131.07/22.51 % (858346)Termination reason: Refutation not found, incomplete strategy
% 131.07/22.51 % (858346)Time elapsed: 0.567 s
% 131.07/22.51 % (858346)Peak memory usage: 128 MB
% 131.07/22.51 % (858346)Instructions burned: 858 (million)
% 131.07/22.51 % (858346)------------------------------
% 131.07/22.51 % (858346)------------------------------
% 131.07/22.51 % (858350)lrs+10_1_ncem=casc2026/models/loop3.pt:sil=16000:tgt=ground:npcc=on:random_seed=1881867535:i=13942:kws=frequency_2817 on theBenchmark for (2817ds/13942Mi)
% 131.07/22.51 % (858348)Instruction limit reached!
% 131.07/22.51 % (858348)------------------------------
% 131.07/22.51 % (858348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 131.07/22.51 % (858348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 131.07/22.51 % (858348)CaDiCaL version: 2.1.3
% 131.07/22.51 % (858348)Termination reason: Instruction limit
% 131.07/22.51 % (858348)Termination phase: Saturation
% 131.07/22.51 % (858348)Time elapsed: 0.923 s
% 131.07/22.51 % (858348)Peak memory usage: 135 MB
% 131.07/22.51 % (858348)Instructions burned: 1504 (million)
% 131.07/22.51 % (858352)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=309507249:i=3604:fsr=off:er=filter_2814 on theBenchmark for (2814ds/3604Mi)
% 131.07/22.51 % (858344)Instruction limit reached!
% 131.07/22.51 % (858344)------------------------------
% 131.07/22.51 % (858344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 131.07/22.51 % (858344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 131.07/22.51 % (858344)CaDiCaL version: 2.1.3
% 131.07/22.51 % (858344)Termination reason: Instruction limit
% 131.07/22.51 % (858344)Termination phase: Saturation
% 131.07/22.51 % (858344)Time elapsed: 1.734 s
% 131.07/22.51 % (858344)Peak memory usage: 144 MB
% 131.07/22.51 % (858344)Instructions burned: 2646 (million)
% 131.07/22.51 % (858322)Instruction limit reached!
% 131.07/22.51 % (858322)------------------------------
% 131.07/22.51 % (858322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 131.07/22.51 % (858322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 131.07/22.51 % (858322)CaDiCaL version: 2.1.3
% 131.07/22.51 % (858322)Termination reason: Instruction limit
% 131.07/22.51 % (858322)Termination phase: Saturation
% 131.07/22.51 % (858322)Time elapsed: 9.823 s
% 131.07/22.51 % (858322)Peak memory usage: 214 MB
% 131.07/22.51 % (858322)Instructions burned: 16412 (million)
% 131.07/22.51 % (858354)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=32000:npcc=on:random_seed=3371158891:i=1876:sd=1:ss=included:sgt=32_2809 on theBenchmark for (2809ds/1876Mi)
% 131.07/22.51 % (858355)lrs+10_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:fde=none:sp=arity:urr=on:br=off:random_seed=3174168802:i=1932:bd=preordered:ins=10:sup=off:ss=axioms_2809 on theBenchmark for (2809ds/1932Mi)
% 131.07/22.51 % (858355)Refutation not found, incomplete strategy
% 131.07/22.51 % (858355)------------------------------
% 131.07/22.51 % (858355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 131.07/22.51 % (858355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 131.07/22.51 % (858355)CaDiCaL version: 2.1.3
% 131.07/22.51 % (858355)Termination reason: Refutation not found, incomplete strategy
% 131.07/22.51 % (858355)Time elapsed: 0.563 s
% 131.07/22.51 % (858355)Peak memory usage: 128 MB
% 131.07/22.51 % (858355)Instructions burned: 858 (million)
% 131.07/22.51 % (858355)------------------------------
% 131.07/22.51 % (858355)------------------------------
% 131.07/22.51 % (858358)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=281675179:s2pl=on:cond=fast:i=1980:s2at=2:kws=inv_precedence:doe=on:ins=1:av=off:gsp=on_2799 on theBenchmark for (2799ds/1980Mi)
% 131.07/22.51 % (858354)Instruction limit reached!
% 131.07/22.51 % (858354)------------------------------
% 131.07/22.51 % (858354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 131.07/22.51 % (858354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 131.07/22.51 % (858354)CaDiCaL version: 2.1.3
% 131.07/22.51 % (858354)Termination reason: Instruction limit
% 131.07/22.51 % (858354)Termination phase: Saturation
% 131.07/22.51 % (858354)Time elapsed: 1.239 s
% 131.07/22.51 % (858354)Peak memory usage: 135 MB
% 131.07/22.51 % (858354)Instructions burned: 1877 (million)
% 131.07/22.51 % (858360)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=3999765472:i=3902:kws=inv_arity_squared:fgj=on:ss=axioms:sgt=11_2795 on theBenchmark for (2795ds/3902Mi)
% 131.07/22.51 % (858352)Instruction limit reached!
% 131.07/22.51 % (858352)------------------------------
% 131.07/22.51 % (858352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 131.07/22.51 % (858352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 131.07/22.51 % (858352)CaDiCaL version: 2.1.3
% 131.07/22.51 % (858352)Termination reason: Instruction limit
% 131.07/22.51 % (858352)Termination phase: Saturation
% 131.07/22.51 % (858352)Time elapsed: 2.234 s
% 131.07/22.51 % (858352)Peak memory usage: 151 MB
% 131.07/22.51 % (858352)Instructions burned: 3605 (million)
% 131.07/22.51 % (858362)dis+10_32_sil=16000:tgt=ground:drc=off:sas=cadical:acc=on:alpa=false:avsqc=3:random_seed=4164310140:avsq=on:i=3916:aac=none:amm=off_2790 on theBenchmark for (2790ds/3916Mi)
% 131.07/22.51 % (858358)First to succeed.
% 131.07/22.51 % (858358)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-858235"
% 131.07/22.51 % (858358)Refutation found. Thanks to Tanya!
% 131.07/22.51 % SZS status Unsatisfiable for theBenchmark
% 131.07/22.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/22.71 % (858358)------------------------------
% 0.17/22.71 % (858358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/22.71 % (858358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/22.71 % (858358)CaDiCaL version: 2.1.3
% 0.17/22.71 % (858358)Termination reason: Refutation
% 0.17/22.71 % (858358)Time elapsed: 1.134 s
% 0.17/22.71 % (858358)Peak memory usage: 135 MB
% 0.17/22.71 % (858358)Instructions burned: 1731 (million)
% 0.17/22.71 % (858358)------------------------------
% 0.17/22.71 % (858358)------------------------------
% 0.17/22.71 % (858235)Success in time 21.646 s
% 0.17/22.71 % Vampire exiting
%------------------------------------------------------------------------------