%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET363-6 : 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 : n016.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 12:40:51 PM UTC 2026
% Result : Unsatisfiable 10.84s 2.51s
% Output : Refutation 12.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 32
% Syntax : Number of formulae : 111 ( 39 unt; 8 def)
% Number of atoms : 302 ( 37 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 : 28 ( 28 usr; 13 con; 0-3 aty)
% Number of variables : 187 ( 187 !; 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(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
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(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(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/sandbox/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/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(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
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(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(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/sandbox/benchmark/theBenchmark.p',flip3) ).
fof(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f40,axiom,
! [X0] : domain_of(inverse(X0)) = range_of(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',range_of) ).
fof(f43,axiom,
! [X0,X1] : range_of(restrict(X0,X1,universal_class)) = image(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',image) ).
fof(f56,axiom,
! [X0] : complement(image(element_relation,complement(X0))) = power_class(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',power_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(f122,negated_conjecture,
member(z,power_class(x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_power_class_alternative_defn1_1) ).
fof(f123,negated_conjecture,
~ subclass(z,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_power_class_alternative_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(f135,plain,
! [X0] : power_class(X0) = complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X0),universal_class)),universal_class))))),
inference(definition_unfolding,[],[f56,f126]) ).
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(z,complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(x),universal_class)),universal_class)))))),
inference(definition_unfolding,[],[f122,f135]) ).
fof(f191,definition,
sF0 = complement(x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f192,plain,
complement(x) = 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(z,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,x) ),
inference(superposition,[],[f25,f192]) ).
fof(f223,plain,
~ member(z,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(z,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(z,universal_class),
inference(resolution,[],[f244,f4]) ).
fof(f264,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(f267,plain,
! [X2,X0,X1] :
( member(X0,universal_class)
| ~ member(X0,X1)
| ~ member(X0,X2) ),
inference(resolution,[],[f238,f4]) ).
fof(f269,plain,
! [X2,X0] :
( ~ member(X0,X2)
| member(X0,universal_class) ),
inference(condensation,[],[f267]) ).
fof(f272,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(resolution,[],[f269,f2]) ).
fof(f282,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF0)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),x) ),
inference(resolution,[],[f272,f217]) ).
fof(f301,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(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,[],[f301,f139]) ).
fof(f317,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(f323,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,[],[f317,f200]) ).
fof(f324,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,[],[f323,f233]) ).
fof(f325,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,[],[f324,f237]) ).
fof(f333,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,[],[f264,f246]) ).
fof(f337,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,[],[f333]) ).
fof(f340,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,[],[f337,f269]) ).
fof(f348,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f68,f269]) ).
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,f269]) ).
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,f325]) ).
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,f340]) ).
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,f269]) ).
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,f269]) ).
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,f269]) ).
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,z)
| member(z,sF6) ),
inference(resolution,[],[f514,f247]) ).
fof(f523,plain,
! [X0] :
( ~ member(X0,sF0)
| ~ member(X0,z) ),
inference(forward_subsumption_resolution,[],[f522,f223]) ).
fof(f524,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),z)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),x) ),
inference(resolution,[],[f523,f282]) ).
fof(f529,plain,
! [X0] :
( subclass(z,X0)
| member(not_subclass_element(z,X0),x)
| subclass(z,X0) ),
inference(resolution,[],[f524,f2]) ).
fof(f530,plain,
! [X0] :
( member(not_subclass_element(z,X0),x)
| subclass(z,X0) ),
inference(duplicate_literal_removal,[],[f529]) ).
fof(f531,plain,
( subclass(z,x)
| subclass(z,x) ),
inference(resolution,[],[f530,f3]) ).
fof(f534,plain,
subclass(z,x),
inference(duplicate_literal_removal,[],[f531]) ).
fof(f535,plain,
$false,
inference(forward_subsumption_resolution,[],[f534,f123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET363-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 01:39:03 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 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
% 11.14/2.40 % (3174840)Input is clausal, will run a generic CNF schedule.
% 11.14/2.40 % (3174849)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1991979923:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.14/2.40 % (3174849)Instruction limit reached!
% 11.14/2.40 % (3174849)------------------------------
% 11.14/2.40 % (3174849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.14/2.40 % (3174849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.14/2.40 % (3174849)CaDiCaL version: 2.1.3
% 11.14/2.40 % (3174849)Termination reason: Instruction limit
% 11.14/2.40 % (3174849)Termination phase: Saturation
% 11.14/2.40 % (3174849)Time elapsed: 0.038 s
% 11.14/2.40 % (3174849)Peak memory usage: 89 MB
% 11.14/2.40 % (3174849)Instructions burned: 116 (million)
% 11.14/2.40 % (3174848)lrs+10_1_sil=8000:sp=occurrence:random_seed=699939147:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.14/2.40 % (3174845)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=1186150540:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.14/2.40 % (3174846)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4040303811:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.14/2.40 % (3174851)dis-21_1_sil=8000:lcm=predicate:random_seed=4236700192:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 11.14/2.40 % (3174847)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2791583269:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.14/2.40 % (3174850)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3494535077:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.14/2.40 % (3174851)Instruction limit reached!
% 11.14/2.40 % (3174851)------------------------------
% 11.14/2.40 % (3174851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.14/2.40 % (3174851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.14/2.40 % (3174851)CaDiCaL version: 2.1.3
% 11.14/2.40 % (3174851)Termination reason: Instruction limit
% 11.14/2.40 % (3174851)Termination phase: Saturation
% 11.14/2.40 % (3174851)Time elapsed: 0.072 s
% 11.14/2.40 % (3174851)Peak memory usage: 89 MB
% 11.14/2.40 % (3174851)Instructions burned: 119 (million)
% 11.14/2.40 % (3174848)Instruction limit reached!
% 11.14/2.40 % (3174848)------------------------------
% 11.14/2.40 % (3174848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.14/2.40 % (3174848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.14/2.40 % (3174848)CaDiCaL version: 2.1.3
% 11.14/2.40 % (3174848)Termination reason: Instruction limit
% 11.14/2.40 % (3174848)Termination phase: Saturation
% 11.14/2.40 % (3174848)Time elapsed: 0.072 s
% 11.14/2.40 % (3174848)Peak memory usage: 90 MB
% 11.14/2.40 % (3174848)Instructions burned: 108 (million)
% 11.14/2.40 % (3174853)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=153827659:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 11.14/2.40 % (3174853)Refutation not found, incomplete strategy
% 11.14/2.40 % (3174853)------------------------------
% 11.14/2.40 % (3174853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.14/2.40 % (3174853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.14/2.40 % (3174853)CaDiCaL version: 2.1.3
% 11.14/2.40 % (3174853)Termination reason: Refutation not found, incomplete strategy
% 11.14/2.40 % (3174853)Time elapsed: 0.001 s
% 11.14/2.40 % (3174853)Peak memory usage: 88 MB
% 11.14/2.40 % (3174853)Instructions burned: 2 (million)
% 11.14/2.40 % (3174850)Instruction limit reached!
% 11.14/2.40 % (3174850)------------------------------
% 11.14/2.40 % (3174850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.14/2.40 % (3174850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.14/2.40 % (3174850)CaDiCaL version: 2.1.3
% 11.14/2.40 % (3174850)Termination reason: Instruction limit
% 11.14/2.40 % (3174850)Termination phase: Saturation
% 11.14/2.40 % (3174850)Time elapsed: 0.135 s
% 11.14/2.40 % (3174850)Peak memory usage: 90 MB
% 11.14/2.40 % (3174850)Instructions burned: 180 (million)
% 11.14/2.40 % (3174860)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2616758179: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)
% 10.84/2.51 % (3174861)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3825852012:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 10.84/2.51 % (3174861)Refutation not found, incomplete strategy
% 10.84/2.51 % (3174861)------------------------------
% 10.84/2.51 % (3174861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.51 % (3174861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.51 % (3174861)CaDiCaL version: 2.1.3
% 10.84/2.51 % (3174861)Termination reason: Refutation not found, incomplete strategy
% 10.84/2.51 % (3174861)Time elapsed: 0.004 s
% 10.84/2.51 % (3174861)Peak memory usage: 88 MB
% 10.84/2.51 % (3174861)Instructions burned: 4 (million)
% 10.84/2.51 % (3174853)------------------------------
% 10.84/2.51 % (3174853)------------------------------
% 10.84/2.51 % (3174863)lrs+10_64_to=lpo:sil=8000:random_seed=3359301075:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 10.84/2.51 % (3174860)Instruction limit reached!
% 10.84/2.51 % (3174860)------------------------------
% 10.84/2.51 % (3174860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.51 % (3174860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.51 % (3174860)CaDiCaL version: 2.1.3
% 10.84/2.51 % (3174860)Termination reason: Instruction limit
% 10.84/2.51 % (3174860)Termination phase: Saturation
% 10.84/2.51 % (3174860)Time elapsed: 0.100 s
% 10.84/2.51 % (3174860)Peak memory usage: 90 MB
% 10.84/2.51 % (3174860)Instructions burned: 190 (million)
% 10.84/2.51 % (3174863)Instruction limit reached!
% 10.84/2.51 % (3174863)------------------------------
% 10.84/2.51 % (3174863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.51 % (3174863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.51 % (3174863)CaDiCaL version: 2.1.3
% 10.84/2.51 % (3174863)Termination reason: Instruction limit
% 10.84/2.51 % (3174863)Termination phase: Saturation
% 10.84/2.51 % (3174863)Time elapsed: 0.079 s
% 10.84/2.51 % (3174863)Peak memory usage: 90 MB
% 10.84/2.51 % (3174863)Instructions burned: 127 (million)
% 10.84/2.51 % (3174866)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=756964871:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 10.84/2.51 % (3174866)Instruction limit reached!
% 10.84/2.51 % (3174866)------------------------------
% 10.84/2.51 % (3174866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.51 % (3174866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.51 % (3174866)CaDiCaL version: 2.1.3
% 10.84/2.51 % (3174866)Termination reason: Instruction limit
% 10.84/2.51 % (3174866)Termination phase: Saturation
% 10.84/2.51 % (3174866)Time elapsed: 0.068 s
% 10.84/2.51 % (3174866)Peak memory usage: 90 MB
% 10.84/2.51 % (3174866)Instructions burned: 195 (million)
% 10.84/2.51 % (3174861)------------------------------
% 10.84/2.51 % (3174861)------------------------------
% 10.84/2.51 % (3174868)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2196713630:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 10.84/2.51 % (3174870)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1216371871:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 10.84/2.51 % (3174871)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=3181020937:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 10.84/2.51 % (3174868)Instruction limit reached!
% 10.84/2.51 % (3174868)------------------------------
% 10.84/2.51 % (3174868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.51 % (3174868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.51 % (3174868)CaDiCaL version: 2.1.3
% 10.84/2.51 % (3174868)Termination reason: Instruction limit
% 10.84/2.51 % (3174868)Termination phase: Saturation
% 10.84/2.51 % (3174868)Time elapsed: 0.110 s
% 10.84/2.51 % (3174868)Peak memory usage: 91 MB
% 10.84/2.51 % (3174868)Instructions burned: 158 (million)
% 10.84/2.51 % (3174871)Instruction limit reached!
% 10.84/2.51 % (3174871)------------------------------
% 10.84/2.51 % (3174871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.51 % (3174871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.51 % (3174871)CaDiCaL version: 2.1.3
% 10.84/2.51 % (3174871)Termination reason: Instruction limit
% 10.84/2.51 % (3174871)Termination phase: Saturation
% 10.84/2.51 % (3174871)Time elapsed: 0.034 s
% 10.84/2.51 % (3174871)Peak memory usage: 89 MB
% 10.84/2.51 % (3174871)Instructions burned: 107 (million)
% 10.84/2.51 % (3174873)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1615285423:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 10.84/2.51 % (3174873)Instruction limit reached!
% 10.84/2.51 % (3174873)------------------------------
% 10.84/2.51 % (3174873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.51 % (3174873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.51 % (3174873)CaDiCaL version: 2.1.3
% 10.84/2.51 % (3174873)Termination reason: Instruction limit
% 10.84/2.51 % (3174873)Termination phase: Saturation
% 10.84/2.51 % (3174873)Time elapsed: 0.077 s
% 10.84/2.51 % (3174873)Peak memory usage: 89 MB
% 10.84/2.51 % (3174873)Instructions burned: 107 (million)
% 10.84/2.51 % (3174877)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=769823698:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 10.84/2.51 % (3174876)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=789955304:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 10.84/2.51 % (3174879)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3588220675:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 10.84/2.51 % (3174876)Instruction limit reached!
% 10.84/2.51 % (3174876)------------------------------
% 10.84/2.51 % (3174876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.51 % (3174876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.51 % (3174876)CaDiCaL version: 2.1.3
% 10.84/2.51 % (3174876)Termination reason: Instruction limit
% 10.84/2.51 % (3174876)Termination phase: Saturation
% 10.84/2.51 % (3174876)Time elapsed: 0.165 s
% 10.84/2.51 % (3174876)Peak memory usage: 91 MB
% 10.84/2.51 % (3174876)Instructions burned: 244 (million)
% 10.84/2.51 % (3174879)Instruction limit reached!
% 10.84/2.51 % (3174879)------------------------------
% 10.84/2.51 % (3174879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.51 % (3174879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.51 % (3174879)CaDiCaL version: 2.1.3
% 10.84/2.51 % (3174879)Termination reason: Instruction limit
% 10.84/2.51 % (3174879)Termination phase: Saturation
% 10.84/2.51 % (3174879)Time elapsed: 0.061 s
% 10.84/2.51 % (3174879)Peak memory usage: 89 MB
% 10.84/2.51 % (3174879)Instructions burned: 135 (million)
% 10.84/2.51 % (3174883)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3396111600:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 10.84/2.51 % (3174884)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1925659651:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 10.84/2.51 % (3174877)First to succeed.
% 10.84/2.51 % (3174877)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3174840"
% 10.84/2.51 % (3174884)Instruction limit reached!
% 10.84/2.51 % (3174884)------------------------------
% 10.84/2.51 % (3174884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.51 % (3174884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.51 % (3174884)CaDiCaL version: 2.1.3
% 10.84/2.51 % (3174884)Termination reason: Instruction limit
% 10.84/2.51 % (3174884)Termination phase: Saturation
% 10.84/2.51 % (3174884)Time elapsed: 0.117 s
% 10.84/2.51 % (3174884)Peak memory usage: 90 MB
% 10.84/2.51 % (3174884)Instructions burned: 192 (million)
% 10.84/2.51 % (3174883)Instruction limit reached!
% 10.84/2.51 % (3174883)------------------------------
% 10.84/2.51 % (3174883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.51 % (3174883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.51 % (3174883)CaDiCaL version: 2.1.3
% 10.84/2.51 % (3174883)Termination reason: Instruction limit
% 10.84/2.51 % (3174883)Termination phase: Saturation
% 10.84/2.51 % (3174883)Time elapsed: 0.300 s
% 10.84/2.51 % (3174883)Peak memory usage: 95 MB
% 10.84/2.51 % (3174883)Instructions burned: 502 (million)
% 10.84/2.51 % (3174887)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=995708761:i=264:kws=precedence:fsr=off_2985 on theBenchmark for (2985ds/264Mi)
% 10.84/2.51 % (3174877)Refutation found. Thanks to Tanya!
% 10.84/2.51 % SZS status Unsatisfiable for theBenchmark
% 10.84/2.51 % SZS output start Proof for theBenchmark
% See solution above
% 12.31/2.71 % (3174877)------------------------------
% 12.31/2.71 % (3174877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.31/2.71 % (3174877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.71 % (3174877)CaDiCaL version: 2.1.3
% 12.31/2.71 % (3174877)Termination reason: Refutation
% 12.31/2.71 % (3174877)Time elapsed: 0.485 s
% 12.31/2.71 % (3174877)Peak memory usage: 130 MB
% 12.31/2.71 % (3174877)Instructions burned: 1091 (million)
% 12.31/2.71 % (3174877)------------------------------
% 12.31/2.71 % (3174877)------------------------------
% 12.31/2.71 % (3174840)Success in time 1.654 s
% 12.31/2.71 % Vampire exiting
%------------------------------------------------------------------------------