%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM087-1 : 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 : n017.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 12:11:43 PM UTC 2026
% Result : Unsatisfiable 15.81s 3.10s
% Output : Refutation 16.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 32
% Syntax : Number of formulae : 142 ( 43 unt; 10 def)
% Number of atoms : 328 ( 53 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 346 ( 160 ~; 186 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 15 con; 0-3 aty)
% Number of variables : 208 ( 208 !; 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(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
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(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(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(f31,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| restrict(X1,singleton(X0),universal_class) = null_class
| member(X0,domain_of(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f32,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| null_class = restrict(X1,singleton(X0),universal_class)
| member(X0,domain_of(X1)) ),
inference(reorient_equations,[],[f31]) ).
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(f176,negated_conjecture,
subclass(sum_class(x),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitive_class_property3_1) ).
fof(f177,negated_conjecture,
subclass(sum_class(y),y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitive_class_property3_2) ).
fof(f178,negated_conjecture,
~ subclass(sum_class(intersection(x,y)),intersection(x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitive_class_property3_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(f185,plain,
! [X0] : sum_class(X0) = domain_of(intersection(element_relation,cross_product(universal_class,X0))),
inference(definition_unfolding,[],[f54,f28]) ).
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] :
( unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0
| ~ member(X0,cross_product(X1,X2)) ),
inference(definition_unfolding,[],[f17,f179]) ).
fof(f203,plain,
! [X0,X1] :
( null_class != intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
| ~ member(X1,domain_of(X0)) ),
inference(definition_unfolding,[],[f30,f28,f12]) ).
fof(f204,plain,
! [X0,X1] :
( null_class = intersection(X1,cross_product(unordered_pair(X0,X0),universal_class))
| ~ member(X0,universal_class)
| member(X0,domain_of(X1)) ),
inference(definition_unfolding,[],[f32,f28,f12]) ).
fof(f269,plain,
subclass(domain_of(intersection(element_relation,cross_product(universal_class,x))),x),
inference(definition_unfolding,[],[f176,f185]) ).
fof(f270,plain,
subclass(domain_of(intersection(element_relation,cross_product(universal_class,y))),y),
inference(definition_unfolding,[],[f177,f185]) ).
fof(f271,plain,
~ subclass(domain_of(intersection(element_relation,cross_product(universal_class,intersection(x,y)))),intersection(x,y)),
inference(definition_unfolding,[],[f178,f185]) ).
fof(f278,definition,
sF0 = cross_product(universal_class,x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f279,plain,
cross_product(universal_class,x) = sF0,
inference(reorient_equations,[],[f278]) ).
fof(f280,definition,
sF1 = intersection(element_relation,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f281,plain,
intersection(element_relation,sF0) = sF1,
inference(reorient_equations,[],[f280]) ).
fof(f282,definition,
sF2 = domain_of(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f283,plain,
domain_of(sF1) = sF2,
inference(reorient_equations,[],[f282]) ).
fof(f284,plain,
subclass(sF2,x),
inference(definition_folding,[],[f269,f283,f281,f279]) ).
fof(f285,definition,
sF3 = cross_product(universal_class,y),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f286,plain,
cross_product(universal_class,y) = sF3,
inference(reorient_equations,[],[f285]) ).
fof(f287,definition,
sF4 = intersection(element_relation,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f288,plain,
intersection(element_relation,sF3) = sF4,
inference(reorient_equations,[],[f287]) ).
fof(f289,definition,
sF5 = domain_of(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f290,plain,
domain_of(sF4) = sF5,
inference(reorient_equations,[],[f289]) ).
fof(f291,plain,
subclass(sF5,y),
inference(definition_folding,[],[f270,f290,f288,f286]) ).
fof(f292,definition,
sF6 = intersection(x,y),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f293,plain,
intersection(x,y) = sF6,
inference(reorient_equations,[],[f292]) ).
fof(f294,definition,
sF7 = cross_product(universal_class,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f295,plain,
cross_product(universal_class,sF6) = sF7,
inference(reorient_equations,[],[f294]) ).
fof(f296,definition,
sF8 = intersection(element_relation,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f297,plain,
intersection(element_relation,sF7) = sF8,
inference(reorient_equations,[],[f296]) ).
fof(f298,definition,
sF9 = domain_of(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f299,plain,
domain_of(sF8) = sF9,
inference(reorient_equations,[],[f298]) ).
fof(f300,plain,
~ subclass(sF9,sF6),
inference(definition_folding,[],[f271,f293,f299,f297,f295,f293]) ).
fof(f304,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(f305,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X2,X1),X3)
| ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,X3) ),
inference(resolution,[],[f23,f1]) ).
fof(f307,plain,
! [X0] :
( ~ member(X0,sF0)
| member(X0,sF1)
| ~ member(X0,element_relation) ),
inference(superposition,[],[f23,f281]) ).
fof(f309,plain,
! [X0] :
( ~ member(X0,sF3)
| member(X0,sF4)
| ~ member(X0,element_relation) ),
inference(superposition,[],[f23,f288]) ).
fof(f310,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f21,f2]) ).
fof(f312,plain,
! [X0] :
( ~ member(X0,sF6)
| member(X0,x) ),
inference(superposition,[],[f21,f293]) ).
fof(f314,plain,
! [X0] :
( ~ member(X0,sF8)
| member(X0,element_relation) ),
inference(superposition,[],[f21,f297]) ).
fof(f321,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(X1,x)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f198,f279]) ).
fof(f322,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF3)
| ~ member(X1,y)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f198,f286]) ).
fof(f326,plain,
! [X0] :
( ~ member(X0,sF6)
| member(X0,y) ),
inference(superposition,[],[f22,f293]) ).
fof(f328,plain,
! [X0] :
( ~ member(X0,sF8)
| member(X0,sF7) ),
inference(superposition,[],[f22,f297]) ).
fof(f351,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),X2)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f197,f199]) ).
fof(f352,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f196,f199]) ).
fof(f354,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1) ),
inference(condensation,[],[f352]) ).
fof(f355,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),X2) ),
inference(condensation,[],[f351]) ).
fof(f366,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(unordered_pair(X2,X2),universal_class))
| member(X0,null_class)
| ~ member(X0,X1)
| ~ member(X2,universal_class)
| member(X2,domain_of(X1)) ),
inference(superposition,[],[f23,f204]) ).
fof(f373,plain,
! [X0] :
( member(first(X0),universal_class)
| ~ member(X0,sF7) ),
inference(superposition,[],[f354,f295]) ).
fof(f382,plain,
! [X0] :
( member(second(X0),sF6)
| ~ member(X0,sF7) ),
inference(superposition,[],[f355,f295]) ).
fof(f406,plain,
! [X0] :
( member(second(X0),y)
| ~ member(X0,sF7) ),
inference(resolution,[],[f382,f326]) ).
fof(f407,plain,
! [X0] :
( member(second(X0),x)
| ~ member(X0,sF7) ),
inference(resolution,[],[f382,f312]) ).
fof(f409,plain,
! [X2,X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,universal_class) ),
inference(resolution,[],[f4,f305]) ).
fof(f411,plain,
! [X2,X0] :
( ~ member(X0,X2)
| member(X0,universal_class) ),
inference(condensation,[],[f409]) ).
fof(f516,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),element_relation)
| ~ member(X1,universal_class)
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF1)
| ~ member(X0,x) ),
inference(resolution,[],[f321,f307]) ).
fof(f520,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))),sF1)
| ~ member(first(X0),universal_class)
| ~ member(X0,element_relation)
| ~ member(second(X0),x)
| ~ member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f516,f199]) ).
fof(f523,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),element_relation)
| ~ member(X1,universal_class)
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF4)
| ~ member(X0,y) ),
inference(resolution,[],[f322,f309]) ).
fof(f527,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))),sF4)
| ~ member(first(X0),universal_class)
| ~ member(X0,element_relation)
| ~ member(second(X0),y)
| ~ member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f523,f199]) ).
fof(f699,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f68,f411]) ).
fof(f700,plain,
! [X0,X1] :
( member(regular(X0),X1)
| ~ subclass(X0,X1)
| null_class = X0 ),
inference(resolution,[],[f68,f1]) ).
fof(f705,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X1)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f68,f22]) ).
fof(f707,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f68,f24]) ).
fof(f744,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f699,f707]) ).
fof(f747,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f744]) ).
fof(f749,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f24,f747]) ).
fof(f750,plain,
! [X0] : ~ member(X0,null_class),
inference(forward_subsumption_resolution,[],[f749,f411]) ).
fof(f1220,plain,
! [X2,X3,X0,X1,X4] :
( member(X0,sF4)
| ~ member(first(X0),universal_class)
| ~ member(X0,element_relation)
| ~ member(second(X0),y)
| ~ member(X0,cross_product(X1,X2))
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f527,f199]) ).
fof(f1221,plain,
! [X3,X0,X4] :
( ~ member(X0,cross_product(X3,X4))
| ~ member(first(X0),universal_class)
| ~ member(X0,element_relation)
| ~ member(second(X0),y)
| member(X0,sF4) ),
inference(condensation,[],[f1220]) ).
fof(f1242,plain,
! [X0] :
( ~ member(X0,sF7)
| ~ member(first(X0),universal_class)
| ~ member(X0,element_relation)
| ~ member(second(X0),y)
| member(X0,sF4) ),
inference(superposition,[],[f1221,f295]) ).
fof(f1249,plain,
! [X0] :
( ~ member(X0,sF7)
| ~ member(X0,element_relation)
| ~ member(second(X0),y)
| member(X0,sF4) ),
inference(forward_subsumption_resolution,[],[f1242,f373]) ).
fof(f1254,plain,
! [X0] :
( ~ member(X0,sF7)
| ~ member(X0,element_relation)
| member(X0,sF4) ),
inference(forward_subsumption_resolution,[],[f1249,f406]) ).
fof(f1280,plain,
! [X2,X3,X0,X1,X4] :
( member(X0,sF1)
| ~ member(first(X0),universal_class)
| ~ member(X0,element_relation)
| ~ member(second(X0),x)
| ~ member(X0,cross_product(X1,X2))
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f520,f199]) ).
fof(f1281,plain,
! [X3,X0,X4] :
( ~ member(X0,cross_product(X3,X4))
| ~ member(first(X0),universal_class)
| ~ member(X0,element_relation)
| ~ member(second(X0),x)
| member(X0,sF1) ),
inference(condensation,[],[f1280]) ).
fof(f1302,plain,
! [X0] :
( ~ member(X0,sF7)
| ~ member(first(X0),universal_class)
| ~ member(X0,element_relation)
| ~ member(second(X0),x)
| member(X0,sF1) ),
inference(superposition,[],[f1281,f295]) ).
fof(f1309,plain,
! [X0] :
( ~ member(X0,sF7)
| ~ member(X0,element_relation)
| ~ member(second(X0),x)
| member(X0,sF1) ),
inference(forward_subsumption_resolution,[],[f1302,f373]) ).
fof(f1313,plain,
! [X0] :
( ~ member(X0,sF7)
| ~ member(X0,element_relation)
| member(X0,sF1) ),
inference(forward_subsumption_resolution,[],[f1309,f407]) ).
fof(f1674,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF6),y)
| ~ member(not_subclass_element(X0,intersection(x,y)),x)
| subclass(X0,intersection(x,y)) ),
inference(superposition,[],[f304,f293]) ).
fof(f1689,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF6),x)
| ~ member(not_subclass_element(X0,sF6),y)
| subclass(X0,intersection(x,y)) ),
inference(forward_demodulation,[],[f1674,f293]) ).
fof(f1694,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF6),y)
| ~ member(not_subclass_element(X0,sF6),x)
| subclass(X0,sF6) ),
inference(forward_demodulation,[],[f1689,f293]) ).
fof(f2395,plain,
! [X2,X0,X1] :
( null_class = intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
| member(regular(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))),null_class)
| ~ member(regular(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))),X2)
| ~ member(X1,universal_class)
| member(X1,domain_of(X2)) ),
inference(resolution,[],[f705,f366]) ).
fof(f2442,plain,
! [X2,X0,X1] :
( ~ member(regular(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))),X2)
| null_class = intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
| ~ member(X1,universal_class)
| member(X1,domain_of(X2)) ),
inference(forward_subsumption_resolution,[],[f2395,f750]) ).
fof(f2447,plain,
! [X2,X0,X1] :
( null_class = intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
| ~ member(X1,universal_class)
| member(X1,domain_of(X2))
| ~ subclass(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),X2)
| null_class = intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)) ),
inference(resolution,[],[f2442,f700]) ).
fof(f2462,plain,
! [X2,X0,X1] :
( ~ subclass(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),X2)
| ~ member(X1,universal_class)
| member(X1,domain_of(X2))
| null_class = intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)) ),
inference(duplicate_literal_removal,[],[f2447]) ).
fof(f2687,plain,
! [X0,X1] :
( member(not_subclass_element(intersection(sF8,X0),X1),element_relation)
| subclass(intersection(sF8,X0),X1) ),
inference(resolution,[],[f310,f314]) ).
fof(f2688,plain,
! [X0,X1] :
( member(not_subclass_element(intersection(sF8,X0),X1),sF7)
| subclass(intersection(sF8,X0),X1) ),
inference(resolution,[],[f310,f328]) ).
fof(f2842,plain,
! [X0,X1] :
( subclass(intersection(sF8,X0),X1)
| ~ member(not_subclass_element(intersection(sF8,X0),X1),element_relation)
| member(not_subclass_element(intersection(sF8,X0),X1),sF1) ),
inference(resolution,[],[f2688,f1313]) ).
fof(f2843,plain,
! [X0,X1] :
( subclass(intersection(sF8,X0),X1)
| ~ member(not_subclass_element(intersection(sF8,X0),X1),element_relation)
| member(not_subclass_element(intersection(sF8,X0),X1),sF4) ),
inference(resolution,[],[f2688,f1254]) ).
fof(f2867,plain,
! [X0,X1] :
( member(not_subclass_element(intersection(sF8,X0),X1),sF4)
| subclass(intersection(sF8,X0),X1) ),
inference(forward_subsumption_resolution,[],[f2843,f2687]) ).
fof(f2868,plain,
! [X0,X1] :
( member(not_subclass_element(intersection(sF8,X0),X1),sF1)
| subclass(intersection(sF8,X0),X1) ),
inference(forward_subsumption_resolution,[],[f2842,f2687]) ).
fof(f2871,plain,
! [X0] :
( subclass(intersection(sF8,X0),sF1)
| subclass(intersection(sF8,X0),sF1) ),
inference(resolution,[],[f2868,f3]) ).
fof(f2884,plain,
! [X0] : subclass(intersection(sF8,X0),sF1),
inference(duplicate_literal_removal,[],[f2871]) ).
fof(f2891,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,domain_of(sF1))
| null_class = intersection(sF8,cross_product(unordered_pair(X0,X0),universal_class)) ),
inference(resolution,[],[f2884,f2462]) ).
fof(f2900,plain,
! [X0] :
( null_class = intersection(sF8,cross_product(unordered_pair(X0,X0),universal_class))
| ~ member(X0,universal_class)
| member(X0,sF2) ),
inference(forward_demodulation,[],[f2891,f283]) ).
fof(f2923,plain,
! [X0] :
( subclass(intersection(sF8,X0),sF4)
| subclass(intersection(sF8,X0),sF4) ),
inference(resolution,[],[f2867,f3]) ).
fof(f2936,plain,
! [X0] : subclass(intersection(sF8,X0),sF4),
inference(duplicate_literal_removal,[],[f2923]) ).
fof(f2943,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,domain_of(sF4))
| null_class = intersection(sF8,cross_product(unordered_pair(X0,X0),universal_class)) ),
inference(resolution,[],[f2936,f2462]) ).
fof(f2952,plain,
! [X0] :
( null_class = intersection(sF8,cross_product(unordered_pair(X0,X0),universal_class))
| ~ member(X0,universal_class)
| member(X0,sF5) ),
inference(forward_demodulation,[],[f2943,f290]) ).
fof(f3004,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(sF8))
| ~ member(X0,universal_class)
| member(X0,sF5) ),
inference(superposition,[],[f203,f2952]) ).
fof(f3014,plain,
! [X0] :
( ~ member(X0,domain_of(sF8))
| ~ member(X0,universal_class)
| member(X0,sF5) ),
inference(trivial_inequality_removal,[],[f3004]) ).
fof(f3019,plain,
! [X0] :
( ~ member(X0,domain_of(sF8))
| member(X0,sF5) ),
inference(forward_subsumption_resolution,[],[f3014,f411]) ).
fof(f3020,plain,
! [X0] :
( ~ member(X0,sF9)
| member(X0,sF5) ),
inference(forward_demodulation,[],[f3019,f299]) ).
fof(f3022,plain,
! [X0] :
( member(not_subclass_element(sF9,X0),sF5)
| subclass(sF9,X0) ),
inference(resolution,[],[f3020,f2]) ).
fof(f3045,plain,
! [X0,X1] :
( member(not_subclass_element(sF9,X0),X1)
| ~ subclass(sF5,X1)
| subclass(sF9,X0) ),
inference(resolution,[],[f3022,f1]) ).
fof(f3095,plain,
( ~ subclass(sF5,y)
| subclass(sF9,sF6)
| ~ member(not_subclass_element(sF9,sF6),x)
| subclass(sF9,sF6) ),
inference(resolution,[],[f3045,f1694]) ).
fof(f3126,plain,
( ~ subclass(sF5,y)
| subclass(sF9,sF6)
| ~ member(not_subclass_element(sF9,sF6),x) ),
inference(duplicate_literal_removal,[],[f3095]) ).
fof(f3134,plain,
( subclass(sF9,sF6)
| ~ member(not_subclass_element(sF9,sF6),x) ),
inference(forward_subsumption_resolution,[],[f3126,f291]) ).
fof(f3137,plain,
~ member(not_subclass_element(sF9,sF6),x),
inference(forward_subsumption_resolution,[],[f3134,f300]) ).
fof(f3334,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(sF8))
| ~ member(X0,universal_class)
| member(X0,sF2) ),
inference(superposition,[],[f203,f2900]) ).
fof(f3344,plain,
! [X0] :
( ~ member(X0,domain_of(sF8))
| ~ member(X0,universal_class)
| member(X0,sF2) ),
inference(trivial_inequality_removal,[],[f3334]) ).
fof(f3349,plain,
! [X0] :
( ~ member(X0,domain_of(sF8))
| member(X0,sF2) ),
inference(forward_subsumption_resolution,[],[f3344,f411]) ).
fof(f3350,plain,
! [X0] :
( ~ member(X0,sF9)
| member(X0,sF2) ),
inference(forward_demodulation,[],[f3349,f299]) ).
fof(f3352,plain,
! [X0] :
( member(not_subclass_element(sF9,X0),sF2)
| subclass(sF9,X0) ),
inference(resolution,[],[f3350,f2]) ).
fof(f3377,plain,
! [X0,X1] :
( member(not_subclass_element(sF9,X0),X1)
| ~ subclass(sF2,X1)
| subclass(sF9,X0) ),
inference(resolution,[],[f3352,f1]) ).
fof(f3415,plain,
( ~ subclass(sF2,x)
| subclass(sF9,sF6) ),
inference(resolution,[],[f3377,f3137]) ).
fof(f3464,plain,
subclass(sF9,sF6),
inference(forward_subsumption_resolution,[],[f3415,f284]) ).
fof(f3468,plain,
$false,
inference(forward_subsumption_resolution,[],[f3464,f300]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM087-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n017.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 18:45:20 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 8.71/2.12 % (2875693)Input is clausal, will run a generic CNF schedule.
% 8.71/2.12 % (2875702)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1633288478:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.71/2.12 % (2875704)dis-21_1_sil=8000:lcm=predicate:random_seed=3952735451: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)
% 8.71/2.12 % (2875700)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=710937139:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.71/2.12 % (2875698)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=3388356362:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.71/2.12 % (2875699)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2820338106:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.71/2.12 % (2875701)lrs+10_1_sil=8000:sp=occurrence:random_seed=3221565098:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.71/2.12 % (2875703)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3958976645:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.71/2.12 % (2875702)Instruction limit reached!
% 8.71/2.12 % (2875702)------------------------------
% 8.71/2.12 % (2875702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.71/2.12 % (2875702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.71/2.12 % (2875702)CaDiCaL version: 2.1.3
% 8.71/2.12 % (2875702)Termination reason: Instruction limit
% 8.71/2.12 % (2875702)Termination phase: Saturation
% 8.71/2.12 % (2875702)Time elapsed: 0.039 s
% 8.71/2.12 % (2875702)Peak memory usage: 89 MB
% 8.71/2.12 % (2875702)Instructions burned: 119 (million)
% 8.71/2.12 % (2875704)Instruction limit reached!
% 8.71/2.12 % (2875704)------------------------------
% 8.71/2.12 % (2875704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.71/2.12 % (2875704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.71/2.12 % (2875704)CaDiCaL version: 2.1.3
% 8.71/2.12 % (2875704)Termination reason: Instruction limit
% 8.71/2.12 % (2875704)Termination phase: Saturation
% 8.71/2.12 % (2875704)Time elapsed: 0.059 s
% 8.71/2.12 % (2875704)Peak memory usage: 89 MB
% 8.71/2.12 % (2875704)Instructions burned: 117 (million)
% 8.71/2.12 % (2875701)Instruction limit reached!
% 8.71/2.12 % (2875701)------------------------------
% 8.71/2.12 % (2875701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.71/2.12 % (2875701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.71/2.12 % (2875701)CaDiCaL version: 2.1.3
% 8.71/2.12 % (2875701)Termination reason: Instruction limit
% 8.71/2.12 % (2875701)Termination phase: Saturation
% 8.71/2.12 % (2875701)Time elapsed: 0.068 s
% 8.71/2.12 % (2875701)Peak memory usage: 89 MB
% 8.71/2.12 % (2875701)Instructions burned: 108 (million)
% 8.71/2.12 % (2875712)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=3518665100:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 8.71/2.12 % (2875712)Refutation not found, incomplete strategy
% 8.71/2.12 % (2875712)------------------------------
% 8.71/2.12 % (2875712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.71/2.12 % (2875712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.71/2.12 % (2875712)CaDiCaL version: 2.1.3
% 8.71/2.12 % (2875712)Termination reason: Refutation not found, incomplete strategy
% 8.71/2.12 % (2875712)Time elapsed: 0.002 s
% 8.71/2.12 % (2875712)Peak memory usage: 88 MB
% 8.71/2.12 % (2875712)Instructions burned: 4 (million)
% 8.71/2.12 % (2875703)Instruction limit reached!
% 8.71/2.12 % (2875703)------------------------------
% 8.71/2.12 % (2875703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.71/2.12 % (2875703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.71/2.12 % (2875703)CaDiCaL version: 2.1.3
% 8.71/2.12 % (2875703)Termination reason: Instruction limit
% 8.71/2.12 % (2875703)Termination phase: Saturation
% 8.71/2.12 % (2875703)Time elapsed: 0.140 s
% 8.71/2.12 % (2875703)Peak memory usage: 90 MB
% 8.71/2.12 % (2875703)Instructions burned: 180 (million)
% 8.71/2.12 % (2875713)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1916345875: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)
% 15.81/3.09 % (2875713)Refutation not found, incomplete strategy
% 15.81/3.09 % (2875713)------------------------------
% 15.81/3.09 % (2875713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.09 % (2875713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.09 % (2875713)CaDiCaL version: 2.1.3
% 15.81/3.09 % (2875713)Termination reason: Refutation not found, incomplete strategy
% 15.81/3.09 % (2875713)Time elapsed: 0.012 s
% 15.81/3.09 % (2875713)Peak memory usage: 89 MB
% 15.81/3.09 % (2875713)Instructions burned: 21 (million)
% 15.81/3.09 % (2875714)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2120330723:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 15.81/3.09 % (2875712)------------------------------
% 15.81/3.09 % (2875712)------------------------------
% 15.81/3.09 % (2875716)lrs+10_64_to=lpo:sil=8000:random_seed=3218537757:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 15.81/3.09 % (2875719)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2190529556:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 15.81/3.09 % (2875714)Instruction limit reached!
% 15.81/3.09 % (2875714)------------------------------
% 15.81/3.09 % (2875714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.09 % (2875714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.09 % (2875714)CaDiCaL version: 2.1.3
% 15.81/3.09 % (2875714)Termination reason: Instruction limit
% 15.81/3.09 % (2875714)Termination phase: Saturation
% 15.81/3.09 % (2875714)Time elapsed: 0.149 s
% 15.81/3.09 % (2875714)Peak memory usage: 90 MB
% 15.81/3.09 % (2875714)Instructions burned: 220 (million)
% 15.81/3.09 % (2875716)Instruction limit reached!
% 15.81/3.09 % (2875716)------------------------------
% 15.81/3.09 % (2875716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.09 % (2875716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.09 % (2875716)CaDiCaL version: 2.1.3
% 15.81/3.09 % (2875716)Termination reason: Instruction limit
% 15.81/3.09 % (2875716)Termination phase: Saturation
% 15.81/3.09 % (2875716)Time elapsed: 0.080 s
% 15.81/3.09 % (2875716)Peak memory usage: 89 MB
% 15.81/3.09 % (2875716)Instructions burned: 127 (million)
% 15.81/3.09 % (2875719)Instruction limit reached!
% 15.81/3.09 % (2875719)------------------------------
% 15.81/3.09 % (2875719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.09 % (2875719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.09 % (2875719)CaDiCaL version: 2.1.3
% 15.81/3.09 % (2875719)Termination reason: Instruction limit
% 15.81/3.09 % (2875719)Termination phase: Saturation
% 15.81/3.09 % (2875719)Time elapsed: 0.049 s
% 15.81/3.09 % (2875719)Peak memory usage: 89 MB
% 15.81/3.09 % (2875719)Instructions burned: 196 (million)
% 15.81/3.09 % (2875713)------------------------------
% 15.81/3.09 % (2875713)------------------------------
% 15.81/3.09 % (2875724)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=3408718889:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 15.81/3.09 % (2875722)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2700864577:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 15.81/3.09 % (2875723)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=720828599:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 15.81/3.09 % (2875724)Instruction limit reached!
% 15.81/3.09 % (2875724)------------------------------
% 15.81/3.09 % (2875724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.09 % (2875724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.09 % (2875724)CaDiCaL version: 2.1.3
% 15.81/3.09 % (2875724)Termination reason: Instruction limit
% 15.81/3.09 % (2875724)Termination phase: Saturation
% 15.81/3.09 % (2875724)Time elapsed: 0.026 s
% 15.81/3.09 % (2875724)Peak memory usage: 88 MB
% 15.81/3.09 % (2875724)Instructions burned: 106 (million)
% 15.81/3.09 % (2875725)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1106993632:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 15.81/3.09 % (2875729)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=855149482:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 15.81/3.09 % (2875722)Instruction limit reached!
% 15.81/3.09 % (2875722)------------------------------
% 15.81/3.09 % (2875722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.09 % (2875722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.09 % (2875722)CaDiCaL version: 2.1.3
% 15.81/3.09 % (2875722)Termination reason: Instruction limit
% 15.81/3.09 % (2875722)Termination phase: Saturation
% 15.81/3.09 % (2875722)Time elapsed: 0.112 s
% 15.81/3.09 % (2875722)Peak memory usage: 91 MB
% 15.81/3.09 % (2875722)Instructions burned: 157 (million)
% 15.81/3.09 % (2875725)Instruction limit reached!
% 15.81/3.09 % (2875725)------------------------------
% 15.81/3.09 % (2875725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.09 % (2875725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.09 % (2875725)CaDiCaL version: 2.1.3
% 15.81/3.09 % (2875725)Termination reason: Instruction limit
% 15.81/3.09 % (2875725)Termination phase: Saturation
% 15.81/3.09 % (2875725)Time elapsed: 0.076 s
% 15.81/3.09 % (2875725)Peak memory usage: 89 MB
% 15.81/3.09 % (2875725)Instructions burned: 108 (million)
% 15.81/3.09 % (2875729)Instruction limit reached!
% 15.81/3.09 % (2875729)------------------------------
% 15.81/3.09 % (2875729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.09 % (2875729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.09 % (2875729)CaDiCaL version: 2.1.3
% 15.81/3.09 % (2875729)Termination reason: Instruction limit
% 15.81/3.09 % (2875729)Termination phase: Saturation
% 15.81/3.09 % (2875729)Time elapsed: 0.085 s
% 15.81/3.09 % (2875729)Peak memory usage: 90 MB
% 15.81/3.09 % (2875729)Instructions burned: 242 (million)
% 15.81/3.09 % (2875732)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1389584468:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 15.81/3.09 % (2875734)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2943312901:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 15.81/3.09 % (2875733)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1654860698:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 15.81/3.09 % (2875733)Instruction limit reached!
% 15.81/3.09 % (2875733)------------------------------
% 15.81/3.09 % (2875733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.09 % (2875733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.09 % (2875733)CaDiCaL version: 2.1.3
% 15.81/3.09 % (2875733)Termination reason: Instruction limit
% 15.81/3.09 % (2875733)Termination phase: Saturation
% 15.81/3.09 % (2875733)Time elapsed: 0.088 s
% 15.81/3.09 % (2875733)Peak memory usage: 89 MB
% 15.81/3.09 % (2875733)Instructions burned: 134 (million)
% 15.81/3.09 % (2875734)Instruction limit reached!
% 15.81/3.09 % (2875734)------------------------------
% 15.81/3.09 % (2875734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.09 % (2875734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.09 % (2875734)CaDiCaL version: 2.1.3
% 15.81/3.09 % (2875734)Termination reason: Instruction limit
% 15.81/3.09 % (2875734)Termination phase: Saturation
% 15.81/3.09 % (2875734)Time elapsed: 0.170 s
% 15.81/3.09 % (2875734)Peak memory usage: 95 MB
% 15.81/3.09 % (2875734)Instructions burned: 502 (million)
% 15.81/3.09 % (2875738)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3710496224:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 15.81/3.09 % (2875739)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2323225218:i=264:kws=precedence:fsr=off_2989 on theBenchmark for (2989ds/264Mi)
% 15.81/3.09 % (2875739)Instruction limit reached!
% 15.81/3.09 % (2875739)------------------------------
% 15.81/3.09 % (2875739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.09 % (2875738)Instruction limit reached!
% 15.81/3.09 % (2875738)------------------------------
% 15.81/3.09 % (2875738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.09 % (2875738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.10 % (2875739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.10 % (2875738)CaDiCaL version: 2.1.3
% 15.81/3.10 % (2875739)CaDiCaL version: 2.1.3
% 15.81/3.10 % (2875738)Termination reason: Instruction limit
% 15.81/3.10 % (2875738)Termination phase: Saturation
% 15.81/3.10 % (2875738)Time elapsed: 0.108 s
% 15.81/3.10 % (2875738)Peak memory usage: 89 MB
% 15.81/3.10 % (2875739)Termination reason: Instruction limit
% 15.81/3.10 % (2875739)Termination phase: Saturation
% 15.81/3.10 % (2875739)Time elapsed: 0.093 s
% 15.81/3.10 % (2875738)Instructions burned: 194 (million)
% 15.81/3.10 % (2875739)Peak memory usage: 91 MB
% 15.81/3.10 % (2875739)Instructions burned: 269 (million)
% 15.81/3.10 % (2875743)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=680616799:i=3256:kws=precedence:bd=preordered:av=off_2987 on theBenchmark for (2987ds/3256Mi)
% 15.81/3.10 % (2875742)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1147322479:cond=on:i=156:bs=on:gtg=exists_all:er=known_2987 on theBenchmark for (2987ds/156Mi)
% 15.81/3.10 % (2875742)Instruction limit reached!
% 15.81/3.10 % (2875742)------------------------------
% 15.81/3.10 % (2875742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.10 % (2875742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.10 % (2875742)CaDiCaL version: 2.1.3
% 15.81/3.10 % (2875742)Termination reason: Instruction limit
% 15.81/3.10 % (2875742)Termination phase: Saturation
% 15.81/3.10 % (2875742)Time elapsed: 0.091 s
% 15.81/3.10 % (2875742)Peak memory usage: 89 MB
% 15.81/3.10 % (2875742)Instructions burned: 158 (million)
% 15.81/3.10 % (2875746)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=1519286811:i=537:av=off:ss=included_2985 on theBenchmark for (2985ds/537Mi)
% 15.81/3.10 % (2875746)Instruction limit reached!
% 15.81/3.10 % (2875746)------------------------------
% 15.81/3.10 % (2875746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.10 % (2875746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.10 % (2875746)CaDiCaL version: 2.1.3
% 15.81/3.10 % (2875746)Termination reason: Instruction limit
% 15.81/3.10 % (2875746)Termination phase: Saturation
% 15.81/3.10 % (2875746)Time elapsed: 0.272 s
% 15.81/3.10 % (2875746)Peak memory usage: 89 MB
% 15.81/3.10 % (2875746)Instructions burned: 539 (million)
% 15.81/3.10 % (2875732)First to succeed.
% 15.81/3.10 % (2875732)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2875693"
% 15.81/3.10 % (2875748)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=2268207738:i=180:bd=preordered:av=off_2981 on theBenchmark for (2981ds/180Mi)
% 15.81/3.10 % (2875748)Instruction limit reached!
% 15.81/3.10 % (2875748)------------------------------
% 15.81/3.10 % (2875748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.10 % (2875748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.10 % (2875748)CaDiCaL version: 2.1.3
% 15.81/3.10 % (2875748)Termination reason: Instruction limit
% 15.81/3.10 % (2875748)Termination phase: Saturation
% 15.81/3.10 % (2875748)Time elapsed: 0.094 s
% 15.81/3.10 % (2875748)Peak memory usage: 89 MB
% 15.81/3.10 % (2875748)Instructions burned: 181 (million)
% 15.81/3.10 % (2875732)Refutation found. Thanks to Tanya!
% 15.81/3.10 % SZS status Unsatisfiable for theBenchmark
% 15.81/3.10 % SZS output start Proof for theBenchmark
% See solution above
% 16.32/3.19 % (2875732)------------------------------
% 16.32/3.19 % (2875732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.32/3.19 % (2875732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.32/3.19 % (2875732)CaDiCaL version: 2.1.3
% 16.32/3.19 % (2875732)Termination reason: Refutation
% 16.32/3.19 % (2875732)Time elapsed: 1.115 s
% 16.32/3.19 % (2875732)Peak memory usage: 136 MB
% 16.32/3.19 % (2875732)Instructions burned: 1734 (million)
% 16.32/3.19 % (2875732)------------------------------
% 16.32/3.19 % (2875732)------------------------------
% 16.32/3.19 % (2875693)Success in time 2.24 s
% 16.32/3.19 % Vampire exiting
%------------------------------------------------------------------------------