%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM047-1 : 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 : n009.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 12:11:39 PM UTC 2026
% Result : Unsatisfiable 6.56s 1.84s
% Output : Refutation 7.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 23
% Syntax : Number of formulae : 77 ( 19 unt; 2 def)
% Number of atoms : 152 ( 18 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 137 ( 62 ~; 73 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 5 con; 0-2 aty)
% Number of variables : 109 ( 0 sgn 109 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,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(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
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(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(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product3) ).
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(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f122,axiom,
! [X0] : union(X0,inverse(X0)) = symmetrization_of(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetrization) ).
fof(f125,axiom,
! [X0,X1] :
( ~ connected(X0,X1)
| subclass(cross_product(X1,X1),union(identity_relation,symmetrization_of(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',connected1) ).
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(f176,negated_conjecture,
connected(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_connect_class_property2_1) ).
fof(f177,negated_conjecture,
subclass(z,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_connect_class_property2_2) ).
fof(f178,negated_conjecture,
~ connected(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_connect_class_property2_3) ).
fof(f179,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(f192,plain,
! [X0] : symmetrization_of(X0) = complement(intersection(complement(X0),complement(domain_of(flip(cross_product(X0,universal_class)))))),
inference(definition_unfolding,[],[f122,f26,f39]) ).
fof(f196,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,f179]) ).
fof(f197,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X1,X3) ),
inference(definition_unfolding,[],[f15,f179]) ).
fof(f198,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(X1,X3))
| ~ member(X2,X3)
| ~ member(X0,X1) ),
inference(definition_unfolding,[],[f16,f179]) ).
fof(f199,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 ),
inference(definition_unfolding,[],[f17,f179]) ).
fof(f247,plain,
! [X0,X1] :
( subclass(cross_product(X1,X1),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(X0),complement(domain_of(flip(cross_product(X0,universal_class))))))))))
| ~ connected(X0,X1) ),
inference(definition_unfolding,[],[f125,f26,f192]) ).
fof(f248,plain,
! [X0,X1] :
( ~ subclass(cross_product(X0,X0),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(X1),complement(domain_of(flip(cross_product(X1,universal_class))))))))))
| connected(X1,X0) ),
inference(definition_unfolding,[],[f126,f26,f192]) ).
fof(f275,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X1),X2)
| ~ subclass(X0,X2)
| subclass(X0,X1) ),
inference(resolution,[],[f2,f1]) ).
fof(f292,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f21,f2]) ).
fof(f299,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f292,f3]) ).
fof(f304,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f299]) ).
fof(f341,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| subclass(X0,intersection(X1,X2)) ),
inference(resolution,[],[f23,f3]) ).
fof(f458,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| subclass(X0,intersection(X1,X2))
| ~ subclass(X0,X2)
| subclass(X0,intersection(X1,X2)) ),
inference(resolution,[],[f341,f275]) ).
fof(f468,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| subclass(X0,intersection(X1,X2))
| ~ subclass(X0,X2) ),
inference(duplicate_literal_removal,[],[f458]) ).
fof(f471,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1)
| subclass(X0,intersection(X0,X1)) ),
inference(resolution,[],[f468,f2]) ).
fof(f485,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f471]) ).
fof(f486,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(intersection(X0,X1),X0)
| intersection(X0,X1) = X0 ),
inference(resolution,[],[f485,f7]) ).
fof(f493,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| intersection(X0,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f486,f304]) ).
fof(f497,plain,
! [X0,X1] :
( ~ connected(X1,X0)
| cross_product(X0,X0) = intersection(cross_product(X0,X0),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(X1),complement(domain_of(flip(cross_product(X1,universal_class)))))))))) ),
inference(resolution,[],[f493,f247]) ).
fof(f501,plain,
z = intersection(z,y),
inference(resolution,[],[f493,f177]) ).
fof(f503,plain,
! [X0] :
( ~ member(X0,z)
| member(X0,y) ),
inference(superposition,[],[f22,f501]) ).
fof(f613,plain,
! [X2,X0,X1] :
( subclass(cross_product(X0,X1),X2)
| not_subclass_element(cross_product(X0,X1),X2) = unordered_pair(unordered_pair(first(not_subclass_element(cross_product(X0,X1),X2)),first(not_subclass_element(cross_product(X0,X1),X2))),unordered_pair(first(not_subclass_element(cross_product(X0,X1),X2)),unordered_pair(second(not_subclass_element(cross_product(X0,X1),X2)),second(not_subclass_element(cross_product(X0,X1),X2))))) ),
inference(resolution,[],[f199,f2]) ).
fof(f1182,plain,
! [X0,X1] :
( connected(X1,X0)
| not_subclass_element(cross_product(X0,X0),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(X1),complement(domain_of(flip(cross_product(X1,universal_class)))))))))) = unordered_pair(unordered_pair(first(not_subclass_element(cross_product(X0,X0),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(X1),complement(domain_of(flip(cross_product(X1,universal_class))))))))))),first(not_subclass_element(cross_product(X0,X0),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(X1),complement(domain_of(flip(cross_product(X1,universal_class)))))))))))),unordered_pair(first(not_subclass_element(cross_product(X0,X0),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(X1),complement(domain_of(flip(cross_product(X1,universal_class))))))))))),unordered_pair(second(not_subclass_element(cross_product(X0,X0),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(X1),complement(domain_of(flip(cross_product(X1,universal_class))))))))))),second(not_subclass_element(cross_product(X0,X0),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(X1),complement(domain_of(flip(cross_product(X1,universal_class)))))))))))))) ),
inference(resolution,[],[f613,f248]) ).
fof(f1194,plain,
not_subclass_element(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class)))))))))) = unordered_pair(unordered_pair(first(not_subclass_element(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))))))),first(not_subclass_element(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class)))))))))))),unordered_pair(first(not_subclass_element(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))))))),unordered_pair(second(not_subclass_element(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))))))),second(not_subclass_element(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class)))))))))))))),
inference(resolution,[],[f1182,f178]) ).
fof(f1195,plain,
! [X0,X1] :
( ~ member(not_subclass_element(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class)))))))))),cross_product(X0,X1))
| member(first(not_subclass_element(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))))))),X0) ),
inference(superposition,[],[f196,f1194]) ).
fof(f1196,plain,
! [X0,X1] :
( ~ member(not_subclass_element(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class)))))))))),cross_product(X0,X1))
| member(second(not_subclass_element(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))))))),X1) ),
inference(superposition,[],[f197,f1194]) ).
fof(f1197,plain,
! [X0,X1] :
( member(not_subclass_element(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class)))))))))),cross_product(X0,X1))
| ~ member(second(not_subclass_element(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))))))),X1)
| ~ member(first(not_subclass_element(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))))))),X0) ),
inference(superposition,[],[f198,f1194]) ).
fof(f1219,plain,
( member(second(not_subclass_element(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))))))),z)
| subclass(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class)))))))))) ),
inference(resolution,[],[f1196,f2]) ).
fof(f1227,definition,
( spl0_20
<=> subclass(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class)))))))))) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f1228,plain,
( ~ subclass(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))))))
| spl0_20 ),
inference(avatar_component_clause,[],[f1227]) ).
fof(f1229,plain,
( subclass(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))))))
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f1227]) ).
fof(f1244,definition,
( spl0_24
<=> member(second(not_subclass_element(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))))))),z) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f1246,plain,
( member(second(not_subclass_element(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))))))),z)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f1244]) ).
fof(f1247,plain,
( spl0_20
| spl0_24 ),
inference(avatar_split_clause,[],[f1219,f1244,f1227]) ).
fof(f1248,plain,
( member(first(not_subclass_element(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))))))),z)
| subclass(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class)))))))))) ),
inference(resolution,[],[f1195,f2]) ).
fof(f1281,plain,
( connected(x,z)
| ~ spl0_20 ),
inference(resolution,[],[f1229,f248]) ).
fof(f1296,plain,
( $false
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1281,f178]) ).
fof(f1297,plain,
~ spl0_20,
inference(avatar_contradiction_clause,[],[f1296]) ).
fof(f1299,plain,
( member(first(not_subclass_element(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))))))),z)
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f1248,f1228]) ).
fof(f1300,plain,
( member(first(not_subclass_element(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))))))),y)
| spl0_20 ),
inference(resolution,[],[f1299,f503]) ).
fof(f1304,plain,
( member(second(not_subclass_element(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))))))),y)
| ~ spl0_24 ),
inference(resolution,[],[f1246,f503]) ).
fof(f2259,plain,
cross_product(y,y) = intersection(cross_product(y,y),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class)))))))))),
inference(resolution,[],[f497,f176]) ).
fof(f2265,plain,
! [X0] :
( member(X0,complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))))))
| ~ member(X0,cross_product(y,y)) ),
inference(superposition,[],[f22,f2259]) ).
fof(f2367,plain,
! [X0] :
( ~ member(not_subclass_element(X0,complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class)))))))))),cross_product(y,y))
| subclass(X0,complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class)))))))))) ),
inference(resolution,[],[f2265,f3]) ).
fof(f4858,plain,
( subclass(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))))))
| ~ member(second(not_subclass_element(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))))))),y)
| ~ member(first(not_subclass_element(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))))))),y) ),
inference(resolution,[],[f2367,f1197]) ).
fof(f4874,plain,
( ~ member(second(not_subclass_element(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))))))),y)
| ~ member(first(not_subclass_element(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))))))),y)
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f4858,f1228]) ).
fof(f4875,plain,
( ~ member(first(not_subclass_element(cross_product(z,z),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))))))),y)
| spl0_20
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f4874,f1304]) ).
fof(f4876,plain,
( $false
| spl0_20
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f4875,f1300]) ).
fof(f4877,plain,
( spl0_20
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f4876]) ).
cnf(s15,plain,
( spl0_20
| spl0_24 ),
inference(sat_conversion,[],[f1247]) ).
cnf(s18,plain,
~ spl0_20,
inference(sat_conversion,[],[f1297]) ).
cnf(s161,plain,
( spl0_20
| ~ spl0_24 ),
inference(sat_conversion,[],[f4877]) ).
cnf(s162,plain,
~ spl0_24,
inference(rat,[],[s161,s18]) ).
cnf(s166,plain,
$false,
inference(rat,[],[s15,s162,s18]) ).
fof(f4878,plain,
$false,
inference(avatar_sat_refutation,[],[s166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM047-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n009.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 18:45:30 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
% 6.56/1.84 % (2327460)Input is clausal, will run a generic CNF schedule.
% 6.56/1.84 % (2327465)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=1978030413:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.56/1.84 % (2327467)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1918387621:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.56/1.84 % (2327470)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1623961809:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.56/1.84 % (2327471)dis-21_1_sil=8000:lcm=predicate:random_seed=1423966690: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)
% 6.56/1.84 % (2327468)lrs+10_1_sil=8000:sp=occurrence:random_seed=2462706357:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.56/1.84 % (2327469)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2579182134:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.56/1.84 % (2327466)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2096509806:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.56/1.84 % (2327471)Instruction limit reached!
% 6.56/1.84 % (2327471)------------------------------
% 6.56/1.84 % (2327471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.84 % (2327471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.84 % (2327471)CaDiCaL version: 2.1.3
% 6.56/1.84 % (2327471)Termination reason: Instruction limit
% 6.56/1.84 % (2327471)Termination phase: Saturation
% 6.56/1.84 % (2327471)Time elapsed: 0.068 s
% 6.56/1.84 % (2327471)Peak memory usage: 89 MB
% 6.56/1.84 % (2327471)Instructions burned: 118 (million)
% 6.56/1.84 % (2327469)Instruction limit reached!
% 6.56/1.84 % (2327469)------------------------------
% 6.56/1.84 % (2327469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.84 % (2327469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.84 % (2327469)CaDiCaL version: 2.1.3
% 6.56/1.84 % (2327469)Termination reason: Instruction limit
% 6.56/1.84 % (2327469)Termination phase: Saturation
% 6.56/1.84 % (2327469)Time elapsed: 0.068 s
% 6.56/1.84 % (2327469)Peak memory usage: 89 MB
% 6.56/1.84 % (2327469)Instructions burned: 114 (million)
% 6.56/1.84 % (2327468)Instruction limit reached!
% 6.56/1.84 % (2327468)------------------------------
% 6.56/1.84 % (2327468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.84 % (2327468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.84 % (2327468)CaDiCaL version: 2.1.3
% 6.56/1.84 % (2327468)Termination reason: Instruction limit
% 6.56/1.84 % (2327468)Termination phase: Saturation
% 6.56/1.84 % (2327468)Time elapsed: 0.071 s
% 6.56/1.84 % (2327468)Peak memory usage: 89 MB
% 6.56/1.84 % (2327468)Instructions burned: 107 (million)
% 6.56/1.84 % (2327470)Instruction limit reached!
% 6.56/1.84 % (2327470)------------------------------
% 6.56/1.84 % (2327470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.84 % (2327470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.84 % (2327470)CaDiCaL version: 2.1.3
% 6.56/1.84 % (2327470)Termination reason: Instruction limit
% 6.56/1.84 % (2327470)Termination phase: Saturation
% 6.56/1.84 % (2327470)Time elapsed: 0.136 s
% 6.56/1.84 % (2327470)Peak memory usage: 90 MB
% 6.56/1.84 % (2327470)Instructions burned: 180 (million)
% 6.56/1.84 % (2327480)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3931904144: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)
% 6.56/1.84 % (2327479)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=22335648:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.56/1.84 % (2327481)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3017078734:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.56/1.84 % (2327479)Refutation not found, incomplete strategy
% 6.56/1.84 % (2327479)------------------------------
% 6.56/1.84 % (2327479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.84 % (2327479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.84 % (2327479)CaDiCaL version: 2.1.3
% 6.56/1.84 % (2327479)Termination reason: Refutation not found, incomplete strategy
% 6.56/1.84 % (2327479)Time elapsed: 0.003 s
% 6.56/1.84 % (2327479)Peak memory usage: 88 MB
% 6.56/1.84 % (2327479)Instructions burned: 2 (million)
% 6.56/1.84 % (2327481)Refutation not found, incomplete strategy
% 6.56/1.84 % (2327481)------------------------------
% 6.56/1.84 % (2327481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.84 % (2327481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.84 % (2327481)CaDiCaL version: 2.1.3
% 6.56/1.84 % (2327481)Termination reason: Refutation not found, incomplete strategy
% 6.56/1.84 % (2327481)Time elapsed: 0.004 s
% 6.56/1.84 % (2327481)Peak memory usage: 88 MB
% 6.56/1.84 % (2327481)Instructions burned: 4 (million)
% 6.56/1.84 % (2327480)Refutation not found, incomplete strategy
% 6.56/1.84 % (2327480)------------------------------
% 6.56/1.84 % (2327480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.84 % (2327480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.84 % (2327480)CaDiCaL version: 2.1.3
% 6.56/1.84 % (2327480)Termination reason: Refutation not found, incomplete strategy
% 6.56/1.84 % (2327480)Time elapsed: 0.005 s
% 6.56/1.84 % (2327480)Peak memory usage: 88 MB
% 6.56/1.84 % (2327480)Instructions burned: 6 (million)
% 6.56/1.84 % (2327482)lrs+10_64_to=lpo:sil=8000:random_seed=738763741:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 6.56/1.84 % (2327482)Instruction limit reached!
% 6.56/1.84 % (2327482)------------------------------
% 6.56/1.84 % (2327482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.84 % (2327482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.84 % (2327482)CaDiCaL version: 2.1.3
% 6.56/1.84 % (2327482)Termination reason: Instruction limit
% 6.56/1.84 % (2327482)Termination phase: Saturation
% 6.56/1.84 % (2327482)Time elapsed: 0.078 s
% 6.56/1.84 % (2327482)Peak memory usage: 89 MB
% 6.56/1.84 % (2327482)Instructions burned: 126 (million)
% 6.56/1.84 % (2327480)------------------------------
% 6.56/1.84 % (2327480)------------------------------
% 6.56/1.84 % (2327479)------------------------------
% 6.56/1.84 % (2327479)------------------------------
% 6.56/1.84 % (2327481)------------------------------
% 6.56/1.84 % (2327481)------------------------------
% 6.56/1.84 % (2327487)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1145239510:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 6.56/1.84 % (2327465)First to succeed.
% 6.56/1.84 % (2327465)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2327460"
% 6.56/1.84 % (2327490)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=3310682545:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.56/1.84 % (2327489)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=637388299:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 6.56/1.84 % (2327488)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2572609941:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 6.56/1.84 % (2327487)Instruction limit reached!
% 6.56/1.84 % (2327487)------------------------------
% 6.56/1.84 % (2327487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.84 % (2327487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.84 % (2327487)CaDiCaL version: 2.1.3
% 6.56/1.84 % (2327487)Termination reason: Instruction limit
% 6.56/1.84 % (2327487)Termination phase: Saturation
% 6.56/1.84 % (2327487)Time elapsed: 0.121 s
% 6.56/1.84 % (2327487)Peak memory usage: 90 MB
% 6.56/1.84 % (2327487)Instructions burned: 195 (million)
% 6.56/1.84 % (2327490)Instruction limit reached!
% 6.56/1.84 % (2327490)------------------------------
% 6.56/1.84 % (2327490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.84 % (2327490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.84 % (2327490)CaDiCaL version: 2.1.3
% 6.56/1.84 % (2327490)Termination reason: Instruction limit
% 6.56/1.84 % (2327490)Termination phase: Saturation
% 6.56/1.84 % (2327490)Time elapsed: 0.064 s
% 6.56/1.84 % (2327490)Peak memory usage: 89 MB
% 6.56/1.84 % (2327490)Instructions burned: 107 (million)
% 6.56/1.84 % (2327488)Instruction limit reached!
% 6.56/1.84 % (2327488)------------------------------
% 6.56/1.84 % (2327488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.84 % (2327488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.84 % (2327488)CaDiCaL version: 2.1.3
% 6.56/1.84 % (2327488)Termination reason: Instruction limit
% 6.56/1.84 % (2327488)Termination phase: Saturation
% 6.56/1.84 % (2327488)Time elapsed: 0.112 s
% 6.56/1.84 % (2327488)Peak memory usage: 91 MB
% 6.56/1.84 % (2327488)Instructions burned: 158 (million)
% 6.56/1.84 % (2327466)Also succeeded, but the first one will report.
% 6.56/1.84 % (2327465)Refutation found. Thanks to Tanya!
% 6.56/1.84 % SZS status Unsatisfiable for theBenchmark
% 6.56/1.84 % SZS output start Proof for theBenchmark
% See solution above
% 7.33/2.02 % (2327465)------------------------------
% 7.33/2.02 % (2327465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/2.02 % (2327465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/2.02 % (2327465)CaDiCaL version: 2.1.3
% 7.33/2.02 % (2327465)Termination reason: Refutation
% 7.33/2.02 % (2327465)Time elapsed: 0.664 s
% 7.33/2.02 % (2327465)Peak memory usage: 137 MB
% 7.33/2.02 % (2327465)Instructions burned: 1821 (million)
% 7.33/2.02 % (2327465)------------------------------
% 7.33/2.02 % (2327465)------------------------------
% 7.33/2.02 % (2327460)Success in time 0.969 s
% 7.33/2.02 % Vampire exiting
%------------------------------------------------------------------------------