%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET339-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:40:47 PM UTC 2026
% Result : Unsatisfiable 9.90s 2.30s
% Output : Refutation 10.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 31
% Syntax : Number of formulae : 109 ( 37 unt; 8 def)
% Number of atoms : 300 ( 35 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 365 ( 174 ~; 191 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 13 con; 0-3 aty)
% Number of variables : 185 ( 185 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cartesian_product3) ).
fof(f20,axiom,
! [X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(universal_class,universal_class))
| ~ member(X0,X1)
| member(ordered_pair(X0,X1),element_relation) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_relation3) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction1) ).
fof(f31,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| restrict(X1,singleton(X0),universal_class) = null_class
| member(X0,domain_of(X1)) ),
file('/export/starexec/sandbox2/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(f38,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(ordered_pair(X0,X1),X2),X3)
| ~ member(ordered_pair(ordered_pair(X1,X0),X2),cross_product(cross_product(universal_class,universal_class),universal_class))
| member(ordered_pair(ordered_pair(X1,X0),X2),flip(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',flip3) ).
fof(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f40,axiom,
! [X0] : domain_of(inverse(X0)) = range_of(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',range_of) ).
fof(f43,axiom,
! [X0,X1] : range_of(restrict(X0,X1,universal_class)) = image(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f122,negated_conjecture,
member(x,complement(image(element_relation,complement(y)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subclass_alternate_defn1_1) ).
fof(f123,negated_conjecture,
~ subclass(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subclass_alternate_defn1_2) ).
fof(f125,plain,
! [X0] : range_of(X0) = domain_of(domain_of(flip(cross_product(X0,universal_class)))),
inference(definition_unfolding,[],[f40,f39]) ).
fof(f126,plain,
! [X0,X1] : image(X0,X1) = domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(X1,universal_class)),universal_class)))),
inference(definition_unfolding,[],[f43,f125,f28]) ).
fof(f128,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(f138,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,f128]) ).
fof(f139,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,f128]) ).
fof(f142,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(X0,X1)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation) ),
inference(definition_unfolding,[],[f20,f128,f128]) ).
fof(f145,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(f149,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),cross_product(cross_product(universal_class,universal_class),universal_class))
| ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),X3)
| member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),flip(X3)) ),
inference(definition_unfolding,[],[f38,f128,f128,f128,f128,f128,f128]) ).
fof(f186,plain,
member(x,complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(y),universal_class)),universal_class)))))),
inference(definition_unfolding,[],[f122,f126]) ).
fof(f191,definition,
sF0 = complement(y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f192,plain,
complement(y) = sF0,
inference(reorient_equations,[],[f191]) ).
fof(f193,definition,
sF1 = cross_product(sF0,universal_class),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f194,plain,
cross_product(sF0,universal_class) = sF1,
inference(reorient_equations,[],[f193]) ).
fof(f195,definition,
sF2 = intersection(element_relation,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f196,plain,
intersection(element_relation,sF1) = sF2,
inference(reorient_equations,[],[f195]) ).
fof(f197,definition,
sF3 = cross_product(sF2,universal_class),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f198,plain,
cross_product(sF2,universal_class) = sF3,
inference(reorient_equations,[],[f197]) ).
fof(f199,definition,
sF4 = flip(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f200,plain,
flip(sF3) = sF4,
inference(reorient_equations,[],[f199]) ).
fof(f201,definition,
sF5 = domain_of(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f202,plain,
domain_of(sF4) = sF5,
inference(reorient_equations,[],[f201]) ).
fof(f203,definition,
sF6 = domain_of(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f204,plain,
domain_of(sF5) = sF6,
inference(reorient_equations,[],[f203]) ).
fof(f205,definition,
sF7 = complement(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f206,plain,
complement(sF6) = sF7,
inference(reorient_equations,[],[f205]) ).
fof(f207,plain,
member(x,sF7),
inference(definition_folding,[],[f186,f206,f204,f202,f200,f198,f196,f194,f192]) ).
fof(f212,plain,
! [X0] :
( ~ member(X0,sF7)
| ~ member(X0,sF6) ),
inference(superposition,[],[f24,f206]) ).
fof(f214,plain,
! [X0] :
( ~ member(X0,sF1)
| member(X0,sF2)
| ~ member(X0,element_relation) ),
inference(superposition,[],[f23,f196]) ).
fof(f217,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF0)
| member(X0,y) ),
inference(superposition,[],[f25,f192]) ).
fof(f223,plain,
~ member(x,sF6),
inference(resolution,[],[f212,f207]) ).
fof(f233,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF3)
| member(X1,universal_class) ),
inference(superposition,[],[f138,f198]) ).
fof(f236,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF1)
| ~ member(X1,universal_class)
| ~ member(X0,sF0) ),
inference(superposition,[],[f139,f194]) ).
fof(f237,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF3)
| ~ member(X1,universal_class)
| ~ member(X0,sF2) ),
inference(superposition,[],[f139,f198]) ).
fof(f238,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X0,X1),X2)
| member(X3,X2)
| ~ member(X3,X1)
| ~ member(X3,X0) ),
inference(resolution,[],[f1,f23]) ).
fof(f244,plain,
! [X0] :
( ~ subclass(sF7,X0)
| member(x,X0) ),
inference(resolution,[],[f1,f207]) ).
fof(f246,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2)
| ~ member(X1,universal_class)
| ~ member(X0,sF0) ),
inference(resolution,[],[f214,f236]) ).
fof(f247,plain,
member(x,universal_class),
inference(resolution,[],[f244,f4]) ).
fof(f263,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
| ~ member(X0,X1)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f142,f139]) ).
fof(f271,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,f145]) ).
fof(f272,plain,
! [X2,X0,X1] :
( member(X0,universal_class)
| ~ member(X0,X1)
| ~ member(X0,X2) ),
inference(resolution,[],[f238,f4]) ).
fof(f275,plain,
! [X2,X0] :
( ~ member(X0,X2)
| member(X0,universal_class) ),
inference(condensation,[],[f272]) ).
fof(f278,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(resolution,[],[f275,f2]) ).
fof(f288,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF0)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),y) ),
inference(resolution,[],[f278,f217]) ).
fof(f303,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),null_class)
| ~ member(X3,universal_class)
| member(X3,domain_of(X2))
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(X3,X3)) ),
inference(resolution,[],[f271,f139]) ).
fof(f318,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2)
| ~ member(X1,universal_class)
| ~ member(X0,sF0) ),
inference(resolution,[],[f263,f246]) ).
fof(f322,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2)
| ~ member(X0,sF0) ),
inference(duplicate_literal_removal,[],[f318]) ).
fof(f325,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2)
| ~ member(X1,universal_class)
| ~ member(X0,X1)
| ~ member(X0,sF0) ),
inference(forward_subsumption_resolution,[],[f322,f275]) ).
fof(f331,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),flip(X3))
| ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),X3)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) ),
inference(resolution,[],[f149,f139]) ).
fof(f337,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),sF4)
| ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),sF3)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) ),
inference(superposition,[],[f331,f200]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),sF3)
| member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),sF4)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) ),
inference(forward_subsumption_resolution,[],[f337,f233]) ).
fof(f339,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),sF4)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF2) ),
inference(resolution,[],[f338,f237]) ).
fof(f348,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f68,f275]) ).
fof(f355,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f68,f24]) ).
fof(f399,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f348,f355]) ).
fof(f404,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f399]) ).
fof(f407,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f24,f404]) ).
fof(f408,plain,
! [X0] : ~ member(X0,null_class),
inference(forward_subsumption_resolution,[],[f407,f275]) ).
fof(f424,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),null_class)
| ~ member(X3,universal_class)
| member(X3,domain_of(sF4))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X3,X3))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF2) ),
inference(resolution,[],[f303,f339]) ).
fof(f430,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),null_class)
| ~ member(X3,universal_class)
| member(X3,domain_of(sF4))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X3,X3))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF2) ),
inference(duplicate_literal_removal,[],[f424]) ).
fof(f441,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,universal_class)
| member(X3,domain_of(sF4))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X3,X3))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF2) ),
inference(forward_subsumption_resolution,[],[f430,f408]) ).
fof(f442,plain,
! [X3,X0,X1] :
( ~ member(X3,universal_class)
| member(X3,domain_of(sF4))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X3,X3))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF2) ),
inference(condensation,[],[f441]) ).
fof(f454,plain,
! [X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(X3,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X3,X3))
| member(X3,sF5)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF2) ),
inference(forward_demodulation,[],[f442,f202]) ).
fof(f457,plain,
! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X0,X0))
| ~ member(X0,universal_class)
| member(X0,sF5)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),sF2)
| ~ member(X2,universal_class)
| ~ member(X1,universal_class) ),
inference(resolution,[],[f454,f139]) ).
fof(f461,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),universal_class)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF5)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF2)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),universal_class) ),
inference(resolution,[],[f457,f10]) ).
fof(f463,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),universal_class)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF5)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF2)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(duplicate_literal_removal,[],[f461]) ).
fof(f465,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF2)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF5)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(forward_subsumption_resolution,[],[f463,f11]) ).
fof(f467,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF5)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class)
| ~ member(X0,universal_class)
| ~ member(X1,X0)
| ~ member(X1,sF0) ),
inference(resolution,[],[f465,f325]) ).
fof(f469,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF5)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class)
| ~ member(X1,X0)
| ~ member(X1,sF0) ),
inference(duplicate_literal_removal,[],[f467]) ).
fof(f470,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF5)
| ~ member(X0,universal_class)
| ~ member(X1,X0)
| ~ member(X1,sF0) ),
inference(forward_subsumption_resolution,[],[f469,f275]) ).
fof(f499,plain,
! [X2,X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,X0)
| ~ member(X1,sF0)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),null_class)
| ~ member(X2,universal_class)
| member(X2,domain_of(sF5))
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(X2,X2)) ),
inference(resolution,[],[f470,f303]) ).
fof(f505,plain,
! [X2,X0,X1] :
( ~ member(X1,X0)
| ~ member(X1,sF0)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),null_class)
| ~ member(X2,universal_class)
| member(X2,domain_of(sF5))
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(X2,X2)) ),
inference(forward_subsumption_resolution,[],[f499,f275]) ).
fof(f507,plain,
! [X2,X0,X1] :
( ~ member(X1,X0)
| ~ member(X1,sF0)
| ~ member(X2,universal_class)
| member(X2,domain_of(sF5))
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(X2,X2)) ),
inference(forward_subsumption_resolution,[],[f505,f408]) ).
fof(f508,plain,
! [X2,X0,X1] :
( ~ member(X1,X0)
| ~ member(X1,sF0)
| ~ member(X2,universal_class)
| member(X2,domain_of(sF5))
| ~ member(X0,unordered_pair(X2,X2)) ),
inference(forward_subsumption_resolution,[],[f507,f275]) ).
fof(f509,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X2,X2))
| ~ member(X1,X0)
| ~ member(X1,sF0)
| ~ member(X2,universal_class)
| member(X2,sF6) ),
inference(forward_demodulation,[],[f508,f204]) ).
fof(f511,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,sF0)
| ~ member(X1,universal_class)
| member(X1,sF6)
| ~ member(X1,universal_class) ),
inference(resolution,[],[f509,f10]) ).
fof(f514,plain,
! [X0,X1] :
( ~ member(X1,universal_class)
| ~ member(X0,sF0)
| ~ member(X0,X1)
| member(X1,sF6) ),
inference(duplicate_literal_removal,[],[f511]) ).
fof(f522,plain,
! [X0] :
( ~ member(X0,sF0)
| ~ member(X0,x)
| member(x,sF6) ),
inference(resolution,[],[f514,f247]) ).
fof(f523,plain,
! [X0] :
( ~ member(X0,sF0)
| ~ member(X0,x) ),
inference(forward_subsumption_resolution,[],[f522,f223]) ).
fof(f524,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),x)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),y) ),
inference(resolution,[],[f523,f288]) ).
fof(f529,plain,
! [X0] :
( subclass(x,X0)
| member(not_subclass_element(x,X0),y)
| subclass(x,X0) ),
inference(resolution,[],[f524,f2]) ).
fof(f530,plain,
! [X0] :
( member(not_subclass_element(x,X0),y)
| subclass(x,X0) ),
inference(duplicate_literal_removal,[],[f529]) ).
fof(f531,plain,
( subclass(x,y)
| subclass(x,y) ),
inference(resolution,[],[f530,f3]) ).
fof(f534,plain,
subclass(x,y),
inference(duplicate_literal_removal,[],[f531]) ).
fof(f535,plain,
$false,
inference(forward_subsumption_resolution,[],[f534,f123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET339-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n019.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 01:29:33 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.90/2.29 % (3574917)Input is clausal, will run a generic CNF schedule.
% 9.90/2.29 % (3574925)lrs+10_1_sil=8000:sp=occurrence:random_seed=1301403171:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.90/2.29 % (3574925)Instruction limit reached!
% 9.90/2.29 % (3574925)------------------------------
% 9.90/2.29 % (3574925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.90/2.29 % (3574925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/2.29 % (3574925)CaDiCaL version: 2.1.3
% 9.90/2.29 % (3574925)Termination reason: Instruction limit
% 9.90/2.29 % (3574925)Termination phase: Saturation
% 9.90/2.29 % (3574925)Time elapsed: 0.037 s
% 9.90/2.29 % (3574925)Peak memory usage: 89 MB
% 9.90/2.29 % (3574925)Instructions burned: 111 (million)
% 9.90/2.29 % (3574928)dis-21_1_sil=8000:lcm=predicate:random_seed=1489170025: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)
% 9.90/2.29 % (3574922)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=2871060203:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.90/2.29 % (3574926)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1486144284:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.90/2.29 % (3574923)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3116739973:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.90/2.29 % (3574927)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4215454127:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.90/2.29 % (3574924)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3409673495:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.90/2.29 % (3574926)Instruction limit reached!
% 9.90/2.29 % (3574926)------------------------------
% 9.90/2.29 % (3574926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.90/2.29 % (3574926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/2.29 % (3574926)CaDiCaL version: 2.1.3
% 9.90/2.29 % (3574926)Termination reason: Instruction limit
% 9.90/2.29 % (3574926)Termination phase: Saturation
% 9.90/2.29 % (3574926)Time elapsed: 0.069 s
% 9.90/2.29 % (3574926)Peak memory usage: 89 MB
% 9.90/2.29 % (3574926)Instructions burned: 115 (million)
% 9.90/2.29 % (3574928)Instruction limit reached!
% 9.90/2.29 % (3574928)------------------------------
% 9.90/2.29 % (3574928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.90/2.29 % (3574928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/2.29 % (3574928)CaDiCaL version: 2.1.3
% 9.90/2.29 % (3574928)Termination reason: Instruction limit
% 9.90/2.29 % (3574928)Termination phase: Saturation
% 9.90/2.29 % (3574928)Time elapsed: 0.071 s
% 9.90/2.29 % (3574928)Peak memory usage: 89 MB
% 9.90/2.29 % (3574928)Instructions burned: 119 (million)
% 9.90/2.29 % (3574935)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=4253002889:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 9.90/2.29 % (3574935)Refutation not found, incomplete strategy
% 9.90/2.29 % (3574935)------------------------------
% 9.90/2.29 % (3574935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.90/2.29 % (3574935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/2.29 % (3574935)CaDiCaL version: 2.1.3
% 9.90/2.29 % (3574935)Termination reason: Refutation not found, incomplete strategy
% 9.90/2.29 % (3574935)Time elapsed: 0.002 s
% 9.90/2.29 % (3574935)Peak memory usage: 88 MB
% 9.90/2.29 % (3574935)Instructions burned: 4 (million)
% 9.90/2.29 % (3574927)Instruction limit reached!
% 9.90/2.29 % (3574927)------------------------------
% 9.90/2.29 % (3574927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.90/2.29 % (3574927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/2.29 % (3574927)CaDiCaL version: 2.1.3
% 9.90/2.29 % (3574927)Termination reason: Instruction limit
% 9.90/2.29 % (3574927)Termination phase: Saturation
% 9.90/2.29 % (3574927)Time elapsed: 0.134 s
% 9.90/2.29 % (3574927)Peak memory usage: 90 MB
% 9.90/2.29 % (3574927)Instructions burned: 180 (million)
% 9.90/2.29 % (3574938)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1789762020:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 9.90/2.29 % (3574937)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=305595641: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)
% 9.90/2.29 % (3574938)Refutation not found, incomplete strategy
% 9.90/2.29 % (3574938)------------------------------
% 9.90/2.29 % (3574938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.90/2.29 % (3574938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/2.29 % (3574938)CaDiCaL version: 2.1.3
% 9.90/2.29 % (3574938)Termination reason: Refutation not found, incomplete strategy
% 9.90/2.29 % (3574938)Time elapsed: 0.004 s
% 9.90/2.29 % (3574938)Peak memory usage: 88 MB
% 9.90/2.29 % (3574938)Instructions burned: 4 (million)
% 9.90/2.29 % (3574935)------------------------------
% 9.90/2.29 % (3574935)------------------------------
% 9.90/2.29 % (3574940)lrs+10_64_to=lpo:sil=8000:random_seed=1263893730:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 9.90/2.30 % (3574937)Instruction limit reached!
% 9.90/2.30 % (3574937)------------------------------
% 9.90/2.30 % (3574937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.90/2.30 % (3574937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/2.30 % (3574937)CaDiCaL version: 2.1.3
% 9.90/2.30 % (3574937)Termination reason: Instruction limit
% 9.90/2.30 % (3574937)Termination phase: Saturation
% 9.90/2.30 % (3574937)Time elapsed: 0.106 s
% 9.90/2.30 % (3574937)Peak memory usage: 91 MB
% 9.90/2.30 % (3574937)Instructions burned: 190 (million)
% 9.90/2.30 % (3574940)Instruction limit reached!
% 9.90/2.30 % (3574940)------------------------------
% 9.90/2.30 % (3574940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.90/2.30 % (3574940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/2.30 % (3574940)CaDiCaL version: 2.1.3
% 9.90/2.30 % (3574940)Termination reason: Instruction limit
% 9.90/2.30 % (3574940)Termination phase: Saturation
% 9.90/2.30 % (3574940)Time elapsed: 0.078 s
% 9.90/2.30 % (3574940)Peak memory usage: 89 MB
% 9.90/2.30 % (3574940)Instructions burned: 126 (million)
% 9.90/2.30 % (3574943)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4002953979:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 9.90/2.30 % (3574943)Instruction limit reached!
% 9.90/2.30 % (3574943)------------------------------
% 9.90/2.30 % (3574943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.90/2.30 % (3574943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/2.30 % (3574943)CaDiCaL version: 2.1.3
% 9.90/2.30 % (3574943)Termination reason: Instruction limit
% 9.90/2.30 % (3574943)Termination phase: Saturation
% 9.90/2.30 % (3574943)Time elapsed: 0.068 s
% 9.90/2.30 % (3574943)Peak memory usage: 90 MB
% 9.90/2.30 % (3574943)Instructions burned: 194 (million)
% 9.90/2.30 % (3574938)------------------------------
% 9.90/2.30 % (3574938)------------------------------
% 9.90/2.30 % (3574945)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4211796533:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 9.90/2.30 % (3574946)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3826885583:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 9.90/2.30 % (3574948)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=3436167511:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 9.90/2.30 % (3574945)Instruction limit reached!
% 9.90/2.30 % (3574945)------------------------------
% 9.90/2.30 % (3574945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.90/2.30 % (3574945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/2.30 % (3574945)CaDiCaL version: 2.1.3
% 9.90/2.30 % (3574945)Termination reason: Instruction limit
% 9.90/2.30 % (3574945)Termination phase: Saturation
% 9.90/2.30 % (3574945)Time elapsed: 0.110 s
% 9.90/2.30 % (3574945)Peak memory usage: 91 MB
% 9.90/2.30 % (3574945)Instructions burned: 158 (million)
% 9.90/2.30 % (3574948)Instruction limit reached!
% 9.90/2.30 % (3574948)------------------------------
% 9.90/2.30 % (3574948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.90/2.30 % (3574948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/2.30 % (3574948)CaDiCaL version: 2.1.3
% 9.90/2.30 % (3574948)Termination reason: Instruction limit
% 9.90/2.30 % (3574948)Termination phase: Saturation
% 9.90/2.30 % (3574948)Time elapsed: 0.028 s
% 9.90/2.30 % (3574948)Peak memory usage: 91 MB
% 9.90/2.30 % (3574948)Instructions burned: 107 (million)
% 9.90/2.30 % (3574949)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3362371917:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 9.90/2.30 % (3574949)Instruction limit reached!
% 9.90/2.30 % (3574949)------------------------------
% 9.90/2.30 % (3574949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.90/2.30 % (3574949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/2.30 % (3574949)CaDiCaL version: 2.1.3
% 9.90/2.30 % (3574949)Termination reason: Instruction limit
% 9.90/2.30 % (3574949)Termination phase: Saturation
% 9.90/2.30 % (3574949)Time elapsed: 0.076 s
% 9.90/2.30 % (3574949)Peak memory usage: 89 MB
% 9.90/2.30 % (3574949)Instructions burned: 107 (million)
% 9.90/2.30 % (3574954)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3683150238:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 9.90/2.30 % (3574953)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1312480570:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 9.90/2.30 % (3574956)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1655967023:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 9.90/2.30 % (3574953)Instruction limit reached!
% 9.90/2.30 % (3574953)------------------------------
% 9.90/2.30 % (3574953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.90/2.30 % (3574953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/2.30 % (3574953)CaDiCaL version: 2.1.3
% 9.90/2.30 % (3574953)Termination reason: Instruction limit
% 9.90/2.30 % (3574953)Termination phase: Saturation
% 9.90/2.30 % (3574953)Time elapsed: 0.159 s
% 9.90/2.30 % (3574953)Peak memory usage: 91 MB
% 9.90/2.30 % (3574953)Instructions burned: 242 (million)
% 9.90/2.30 % (3574956)Instruction limit reached!
% 9.90/2.30 % (3574956)------------------------------
% 9.90/2.30 % (3574956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.90/2.30 % (3574956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/2.30 % (3574956)CaDiCaL version: 2.1.3
% 9.90/2.30 % (3574956)Termination reason: Instruction limit
% 9.90/2.30 % (3574956)Termination phase: Saturation
% 9.90/2.30 % (3574956)Time elapsed: 0.096 s
% 9.90/2.30 % (3574956)Peak memory usage: 90 MB
% 9.90/2.30 % (3574956)Instructions burned: 135 (million)
% 9.90/2.30 % (3574960)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=4078119227:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 9.90/2.30 % (3574954)First to succeed.
% 9.90/2.30 % (3574954)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3574917"
% 9.90/2.30 % (3574961)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=898466443:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 9.90/2.30 % (3574961)Instruction limit reached!
% 9.90/2.30 % (3574961)------------------------------
% 9.90/2.30 % (3574961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.90/2.30 % (3574961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/2.30 % (3574961)CaDiCaL version: 2.1.3
% 9.90/2.30 % (3574961)Termination reason: Instruction limit
% 9.90/2.30 % (3574961)Termination phase: Saturation
% 9.90/2.30 % (3574961)Time elapsed: 0.119 s
% 9.90/2.30 % (3574961)Peak memory usage: 89 MB
% 9.90/2.30 % (3574961)Instructions burned: 192 (million)
% 9.90/2.30 % (3574954)Refutation found. Thanks to Tanya!
% 9.90/2.30 % SZS status Unsatisfiable for theBenchmark
% 9.90/2.30 % SZS output start Proof for theBenchmark
% See solution above
% 10.75/2.49 % (3574954)------------------------------
% 10.75/2.49 % (3574954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.49 % (3574954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.49 % (3574954)CaDiCaL version: 2.1.3
% 10.75/2.49 % (3574954)Termination reason: Refutation
% 10.75/2.49 % (3574954)Time elapsed: 0.390 s
% 10.75/2.49 % (3574954)Peak memory usage: 130 MB
% 10.75/2.49 % (3574954)Instructions burned: 1088 (million)
% 10.75/2.49 % (3574954)------------------------------
% 10.75/2.49 % (3574954)------------------------------
% 10.75/2.49 % (3574917)Success in time 1.444 s
% 10.75/2.49 % Vampire exiting
%------------------------------------------------------------------------------