%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET359-6 : 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 : n007.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 12:40:50 PM UTC 2026
% Result : Unsatisfiable 14.30s 2.93s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 31
% Syntax : Number of formulae : 138 ( 40 unt; 11 def)
% Number of atoms : 320 ( 55 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 339 ( 157 ~; 182 |; 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 : 29 ( 29 usr; 16 con; 0-3 aty)
% Number of variables : 207 ( 207 !; 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(f122,negated_conjecture,
~ subclass(sum_class(intersection(x,y)),intersection(sum_class(x),sum_class(y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_sum_class_property1_1) ).
fof(f123,plain,
! [X0] : sum_class(X0) = domain_of(intersection(element_relation,cross_product(universal_class,X0))),
inference(definition_unfolding,[],[f54,f28]) ).
fof(f127,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(f136,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,f127]) ).
fof(f137,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,f127]) ).
fof(f138,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,f127]) ).
fof(f139,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,f127]) ).
fof(f143,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(f144,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(f185,plain,
~ subclass(domain_of(intersection(element_relation,cross_product(universal_class,intersection(x,y)))),intersection(domain_of(intersection(element_relation,cross_product(universal_class,x))),domain_of(intersection(element_relation,cross_product(universal_class,y))))),
inference(definition_unfolding,[],[f122,f123,f123,f123]) ).
fof(f190,definition,
sF0 = intersection(x,y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f191,plain,
intersection(x,y) = sF0,
inference(reorient_equations,[],[f190]) ).
fof(f192,definition,
sF1 = cross_product(universal_class,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f193,plain,
cross_product(universal_class,sF0) = sF1,
inference(reorient_equations,[],[f192]) ).
fof(f194,definition,
sF2 = intersection(element_relation,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f195,plain,
intersection(element_relation,sF1) = sF2,
inference(reorient_equations,[],[f194]) ).
fof(f196,definition,
sF3 = domain_of(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f197,plain,
domain_of(sF2) = sF3,
inference(reorient_equations,[],[f196]) ).
fof(f198,definition,
sF4 = cross_product(universal_class,x),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f199,plain,
cross_product(universal_class,x) = sF4,
inference(reorient_equations,[],[f198]) ).
fof(f200,definition,
sF5 = intersection(element_relation,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f201,plain,
intersection(element_relation,sF4) = sF5,
inference(reorient_equations,[],[f200]) ).
fof(f202,definition,
sF6 = domain_of(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f203,plain,
domain_of(sF5) = sF6,
inference(reorient_equations,[],[f202]) ).
fof(f204,definition,
sF7 = cross_product(universal_class,y),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f205,plain,
cross_product(universal_class,y) = sF7,
inference(reorient_equations,[],[f204]) ).
fof(f206,definition,
sF8 = intersection(element_relation,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f207,plain,
intersection(element_relation,sF7) = sF8,
inference(reorient_equations,[],[f206]) ).
fof(f208,definition,
sF9 = domain_of(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f209,plain,
domain_of(sF8) = sF9,
inference(reorient_equations,[],[f208]) ).
fof(f210,definition,
sF10 = intersection(sF6,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f211,plain,
intersection(sF6,sF9) = sF10,
inference(reorient_equations,[],[f210]) ).
fof(f212,plain,
~ subclass(sF3,sF10),
inference(definition_folding,[],[f185,f211,f209,f207,f205,f203,f201,f199,f197,f195,f193,f191]) ).
fof(f215,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(f219,plain,
! [X0] :
( ~ member(X0,sF4)
| member(X0,sF5)
| ~ member(X0,element_relation) ),
inference(superposition,[],[f23,f201]) ).
fof(f220,plain,
! [X0] :
( ~ member(X0,sF7)
| member(X0,sF8)
| ~ member(X0,element_relation) ),
inference(superposition,[],[f23,f207]) ).
fof(f221,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f21,f2]) ).
fof(f224,plain,
! [X0] :
( ~ member(X0,sF0)
| member(X0,x) ),
inference(superposition,[],[f21,f191]) ).
fof(f225,plain,
! [X0] :
( ~ member(X0,sF2)
| member(X0,element_relation) ),
inference(superposition,[],[f21,f195]) ).
fof(f239,plain,
! [X0] :
( ~ member(X0,sF0)
| member(X0,y) ),
inference(superposition,[],[f22,f191]) ).
fof(f240,plain,
! [X0] :
( ~ member(X0,sF2)
| member(X0,sF1) ),
inference(superposition,[],[f22,f195]) ).
fof(f256,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| ~ member(X1,x)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f138,f199]) ).
fof(f257,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF7)
| ~ member(X1,y)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f138,f205]) ).
fof(f262,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X2),X1)
| ~ subclass(X0,X1)
| subclass(X0,X2) ),
inference(resolution,[],[f1,f2]) ).
fof(f265,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X0,X1),X2)
| member(X3,X2)
| ~ member(X3,X1)
| ~ member(X3,X0) ),
inference(resolution,[],[f1,f23]) ).
fof(f267,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),X2)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f137,f139]) ).
fof(f269,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f136,f139]) ).
fof(f270,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1) ),
inference(condensation,[],[f269]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),X2) ),
inference(condensation,[],[f267]) ).
fof(f272,plain,
! [X2,X0,X1] :
( member(X0,universal_class)
| ~ member(X0,X1)
| ~ member(X0,X2) ),
inference(resolution,[],[f265,f4]) ).
fof(f278,plain,
! [X2,X0] :
( ~ member(X0,X2)
| member(X0,universal_class) ),
inference(condensation,[],[f272]) ).
fof(f293,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,f144]) ).
fof(f314,plain,
! [X0] :
( member(first(X0),universal_class)
| ~ member(X0,sF1) ),
inference(superposition,[],[f270,f193]) ).
fof(f342,plain,
! [X0] :
( member(second(X0),sF0)
| ~ member(X0,sF1) ),
inference(superposition,[],[f271,f193]) ).
fof(f345,plain,
! [X0] :
( member(second(X0),y)
| ~ member(X0,sF1) ),
inference(resolution,[],[f342,f239]) ).
fof(f346,plain,
! [X0] :
( member(second(X0),x)
| ~ member(X0,sF1) ),
inference(resolution,[],[f342,f224]) ).
fof(f383,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))),sF5)
| ~ member(X0,x) ),
inference(resolution,[],[f256,f219]) ).
fof(f387,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))),sF5)
| ~ member(first(X0),universal_class)
| ~ member(X0,element_relation)
| ~ member(second(X0),x)
| ~ member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f383,f139]) ).
fof(f388,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))),sF8)
| ~ member(X0,y) ),
inference(resolution,[],[f257,f220]) ).
fof(f392,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))),sF8)
| ~ member(first(X0),universal_class)
| ~ member(X0,element_relation)
| ~ member(second(X0),y)
| ~ member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f388,f139]) ).
fof(f556,plain,
! [X2,X3,X0,X1,X4] :
( member(X0,sF8)
| ~ 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,[],[f392,f139]) ).
fof(f557,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,sF8) ),
inference(condensation,[],[f556]) ).
fof(f565,plain,
! [X0] :
( ~ member(X0,sF1)
| ~ member(first(X0),universal_class)
| ~ member(X0,element_relation)
| ~ member(second(X0),y)
| member(X0,sF8) ),
inference(superposition,[],[f557,f193]) ).
fof(f573,plain,
! [X0] :
( ~ member(X0,sF1)
| ~ member(X0,element_relation)
| ~ member(second(X0),y)
| member(X0,sF8) ),
inference(forward_subsumption_resolution,[],[f565,f314]) ).
fof(f576,plain,
! [X0] :
( ~ member(X0,sF1)
| ~ member(X0,element_relation)
| member(X0,sF8) ),
inference(forward_subsumption_resolution,[],[f573,f345]) ).
fof(f765,plain,
! [X2,X3,X0,X1,X4] :
( member(X0,sF5)
| ~ 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,[],[f387,f139]) ).
fof(f766,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,sF5) ),
inference(condensation,[],[f765]) ).
fof(f776,plain,
! [X0] :
( ~ member(X0,sF1)
| ~ member(first(X0),universal_class)
| ~ member(X0,element_relation)
| ~ member(second(X0),x)
| member(X0,sF5) ),
inference(superposition,[],[f766,f193]) ).
fof(f788,plain,
! [X0] :
( ~ member(X0,sF1)
| ~ member(X0,element_relation)
| ~ member(second(X0),x)
| member(X0,sF5) ),
inference(forward_subsumption_resolution,[],[f776,f314]) ).
fof(f792,plain,
! [X0] :
( ~ member(X0,sF1)
| ~ member(X0,element_relation)
| member(X0,sF5) ),
inference(forward_subsumption_resolution,[],[f788,f346]) ).
fof(f799,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f68,f278]) ).
fof(f800,plain,
! [X0,X1] :
( member(regular(X0),X1)
| ~ subclass(X0,X1)
| null_class = X0 ),
inference(resolution,[],[f68,f1]) ).
fof(f808,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X1)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f68,f22]) ).
fof(f810,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f68,f24]) ).
fof(f869,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f799,f810]) ).
fof(f872,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f869]) ).
fof(f874,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f24,f872]) ).
fof(f875,plain,
! [X0] : ~ member(X0,null_class),
inference(forward_subsumption_resolution,[],[f874,f278]) ).
fof(f1017,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF10),sF9)
| ~ member(not_subclass_element(X0,intersection(sF6,sF9)),sF6)
| subclass(X0,intersection(sF6,sF9)) ),
inference(superposition,[],[f215,f211]) ).
fof(f1025,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF10),sF6)
| ~ member(not_subclass_element(X0,sF10),sF9)
| subclass(X0,intersection(sF6,sF9)) ),
inference(forward_demodulation,[],[f1017,f211]) ).
fof(f1030,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF10),sF9)
| ~ member(not_subclass_element(X0,sF10),sF6)
| subclass(X0,sF10) ),
inference(forward_demodulation,[],[f1025,f211]) ).
fof(f1379,plain,
! [X0,X1] :
( member(not_subclass_element(intersection(sF2,X0),X1),sF1)
| subclass(intersection(sF2,X0),X1) ),
inference(resolution,[],[f221,f240]) ).
fof(f1380,plain,
! [X0,X1] :
( member(not_subclass_element(intersection(sF2,X0),X1),element_relation)
| subclass(intersection(sF2,X0),X1) ),
inference(resolution,[],[f221,f225]) ).
fof(f1619,plain,
! [X0,X1] :
( subclass(intersection(sF2,X0),X1)
| ~ member(not_subclass_element(intersection(sF2,X0),X1),element_relation)
| member(not_subclass_element(intersection(sF2,X0),X1),sF5) ),
inference(resolution,[],[f1379,f792]) ).
fof(f1622,plain,
! [X0,X1] :
( subclass(intersection(sF2,X0),X1)
| ~ member(not_subclass_element(intersection(sF2,X0),X1),element_relation)
| member(not_subclass_element(intersection(sF2,X0),X1),sF8) ),
inference(resolution,[],[f1379,f576]) ).
fof(f1636,plain,
! [X0,X1] :
( member(not_subclass_element(intersection(sF2,X0),X1),sF8)
| subclass(intersection(sF2,X0),X1) ),
inference(forward_subsumption_resolution,[],[f1622,f1380]) ).
fof(f1637,plain,
! [X0,X1] :
( member(not_subclass_element(intersection(sF2,X0),X1),sF5)
| subclass(intersection(sF2,X0),X1) ),
inference(forward_subsumption_resolution,[],[f1619,f1380]) ).
fof(f1638,plain,
! [X0] :
( subclass(intersection(sF2,X0),sF5)
| subclass(intersection(sF2,X0),sF5) ),
inference(resolution,[],[f1637,f3]) ).
fof(f1651,plain,
! [X0] : subclass(intersection(sF2,X0),sF5),
inference(duplicate_literal_removal,[],[f1638]) ).
fof(f1667,plain,
! [X0] :
( subclass(intersection(sF2,X0),sF8)
| subclass(intersection(sF2,X0),sF8) ),
inference(resolution,[],[f1636,f3]) ).
fof(f1680,plain,
! [X0] : subclass(intersection(sF2,X0),sF8),
inference(duplicate_literal_removal,[],[f1667]) ).
fof(f3037,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,[],[f808,f293]) ).
fof(f3099,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,[],[f3037,f875]) ).
fof(f3104,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,[],[f3099,f800]) ).
fof(f3119,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,[],[f3104]) ).
fof(f3135,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,domain_of(sF5))
| null_class = intersection(sF2,cross_product(unordered_pair(X0,X0),universal_class)) ),
inference(resolution,[],[f3119,f1651]) ).
fof(f3136,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,domain_of(sF8))
| null_class = intersection(sF2,cross_product(unordered_pair(X0,X0),universal_class)) ),
inference(resolution,[],[f3119,f1680]) ).
fof(f3148,plain,
! [X0] :
( null_class = intersection(sF2,cross_product(unordered_pair(X0,X0),universal_class))
| ~ member(X0,universal_class)
| member(X0,sF9) ),
inference(forward_demodulation,[],[f3136,f209]) ).
fof(f3149,plain,
! [X0] :
( null_class = intersection(sF2,cross_product(unordered_pair(X0,X0),universal_class))
| ~ member(X0,universal_class)
| member(X0,sF6) ),
inference(forward_demodulation,[],[f3135,f203]) ).
fof(f3161,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(sF2))
| ~ member(X0,universal_class)
| member(X0,sF9) ),
inference(superposition,[],[f143,f3148]) ).
fof(f3175,plain,
! [X0] :
( ~ member(X0,domain_of(sF2))
| ~ member(X0,universal_class)
| member(X0,sF9) ),
inference(trivial_inequality_removal,[],[f3161]) ).
fof(f3182,plain,
! [X0] :
( ~ member(X0,domain_of(sF2))
| member(X0,sF9) ),
inference(forward_subsumption_resolution,[],[f3175,f278]) ).
fof(f3183,plain,
! [X0] :
( ~ member(X0,sF3)
| member(X0,sF9) ),
inference(forward_demodulation,[],[f3182,f197]) ).
fof(f3185,plain,
! [X0] :
( member(not_subclass_element(sF3,X0),sF9)
| subclass(sF3,X0) ),
inference(resolution,[],[f3183,f2]) ).
fof(f3197,plain,
( subclass(sF3,sF10)
| ~ member(not_subclass_element(sF3,sF10),sF6)
| subclass(sF3,sF10) ),
inference(resolution,[],[f3185,f1030]) ).
fof(f3210,plain,
( subclass(sF3,sF10)
| ~ member(not_subclass_element(sF3,sF10),sF6) ),
inference(duplicate_literal_removal,[],[f3197]) ).
fof(f3211,plain,
~ member(not_subclass_element(sF3,sF10),sF6),
inference(forward_subsumption_resolution,[],[f3210,f212]) ).
fof(f3212,plain,
( ~ subclass(sF3,sF6)
| subclass(sF3,sF10) ),
inference(resolution,[],[f3211,f262]) ).
fof(f3213,plain,
~ subclass(sF3,sF6),
inference(forward_subsumption_resolution,[],[f3212,f212]) ).
fof(f3362,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(sF2))
| ~ member(X0,universal_class)
| member(X0,sF6) ),
inference(superposition,[],[f143,f3149]) ).
fof(f3376,plain,
! [X0] :
( ~ member(X0,domain_of(sF2))
| ~ member(X0,universal_class)
| member(X0,sF6) ),
inference(trivial_inequality_removal,[],[f3362]) ).
fof(f3383,plain,
! [X0] :
( ~ member(X0,domain_of(sF2))
| member(X0,sF6) ),
inference(forward_subsumption_resolution,[],[f3376,f278]) ).
fof(f3384,plain,
! [X0] :
( ~ member(X0,sF3)
| member(X0,sF6) ),
inference(forward_demodulation,[],[f3383,f197]) ).
fof(f3386,plain,
! [X0] :
( member(not_subclass_element(sF3,X0),sF6)
| subclass(sF3,X0) ),
inference(resolution,[],[f3384,f2]) ).
fof(f3403,plain,
( subclass(sF3,sF6)
| subclass(sF3,sF6) ),
inference(resolution,[],[f3386,f3]) ).
fof(f3413,plain,
subclass(sF3,sF6),
inference(duplicate_literal_removal,[],[f3403]) ).
fof(f3418,plain,
$false,
inference(forward_subsumption_resolution,[],[f3413,f3213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET359-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 01:31:10 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.41 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
% 11.16/2.40 % (1946654)Input is clausal, will run a generic CNF schedule.
% 11.16/2.40 % (1946662)lrs+10_1_sil=8000:sp=occurrence:random_seed=983277279:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.16/2.40 % (1946665)dis-21_1_sil=8000:lcm=predicate:random_seed=1298006150: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)
% 11.16/2.40 % (1946660)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1261839578:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.16/2.40 % (1946664)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=156602860:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.16/2.40 % (1946659)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=1569206148:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.16/2.40 % (1946661)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2985844094:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.16/2.40 % (1946663)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=699571581:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.16/2.40 % (1946662)Instruction limit reached!
% 11.16/2.40 % (1946662)------------------------------
% 11.16/2.40 % (1946662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.16/2.40 % (1946662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.16/2.40 % (1946662)CaDiCaL version: 2.1.3
% 11.16/2.40 % (1946662)Termination reason: Instruction limit
% 11.16/2.40 % (1946662)Termination phase: Saturation
% 11.16/2.40 % (1946662)Time elapsed: 0.041 s
% 11.16/2.40 % (1946662)Peak memory usage: 90 MB
% 11.16/2.40 % (1946662)Instructions burned: 108 (million)
% 11.16/2.40 % (1946665)Instruction limit reached!
% 11.16/2.40 % (1946665)------------------------------
% 11.16/2.40 % (1946665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.16/2.40 % (1946665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.16/2.40 % (1946665)CaDiCaL version: 2.1.3
% 11.16/2.40 % (1946665)Termination reason: Instruction limit
% 11.16/2.40 % (1946665)Termination phase: Saturation
% 11.16/2.40 % (1946665)Time elapsed: 0.066 s
% 11.16/2.40 % (1946665)Peak memory usage: 89 MB
% 11.16/2.40 % (1946665)Instructions burned: 117 (million)
% 11.16/2.40 % (1946663)Instruction limit reached!
% 11.16/2.40 % (1946663)------------------------------
% 11.16/2.40 % (1946663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.16/2.40 % (1946663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.16/2.40 % (1946663)CaDiCaL version: 2.1.3
% 11.16/2.40 % (1946663)Termination reason: Instruction limit
% 11.16/2.40 % (1946663)Termination phase: Saturation
% 11.16/2.40 % (1946663)Time elapsed: 0.070 s
% 11.16/2.40 % (1946663)Peak memory usage: 89 MB
% 11.16/2.40 % (1946663)Instructions burned: 114 (million)
% 11.16/2.40 % (1946673)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=2643150475:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 11.16/2.40 % (1946673)Refutation not found, incomplete strategy
% 11.16/2.40 % (1946673)------------------------------
% 11.16/2.40 % (1946673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.16/2.40 % (1946673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.16/2.40 % (1946673)CaDiCaL version: 2.1.3
% 11.16/2.40 % (1946673)Termination reason: Refutation not found, incomplete strategy
% 11.16/2.40 % (1946673)Time elapsed: 0.002 s
% 11.16/2.40 % (1946673)Peak memory usage: 88 MB
% 11.16/2.40 % (1946673)Instructions burned: 3 (million)
% 11.16/2.40 % (1946664)Instruction limit reached!
% 11.16/2.40 % (1946664)------------------------------
% 11.16/2.40 % (1946664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.16/2.40 % (1946664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.16/2.40 % (1946664)CaDiCaL version: 2.1.3
% 11.16/2.40 % (1946664)Termination reason: Instruction limit
% 11.16/2.40 % (1946664)Termination phase: Saturation
% 11.16/2.40 % (1946664)Time elapsed: 0.131 s
% 11.16/2.40 % (1946664)Peak memory usage: 90 MB
% 11.16/2.40 % (1946664)Instructions burned: 180 (million)
% 11.16/2.40 % (1946674)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1321018572: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)
% 14.30/2.93 % (1946675)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1250793372:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 14.30/2.93 % (1946674)Refutation not found, incomplete strategy
% 14.30/2.93 % (1946674)------------------------------
% 14.30/2.93 % (1946674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.30/2.93 % (1946674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.30/2.93 % (1946674)CaDiCaL version: 2.1.3
% 14.30/2.93 % (1946674)Termination reason: Refutation not found, incomplete strategy
% 14.30/2.93 % (1946674)Time elapsed: 0.010 s
% 14.30/2.93 % (1946674)Peak memory usage: 88 MB
% 14.30/2.93 % (1946674)Instructions burned: 19 (million)
% 14.30/2.93 % (1946673)------------------------------
% 14.30/2.93 % (1946673)------------------------------
% 14.30/2.93 % (1946677)lrs+10_64_to=lpo:sil=8000:random_seed=1605324442:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 14.30/2.93 % (1946675)Instruction limit reached!
% 14.30/2.93 % (1946675)------------------------------
% 14.30/2.93 % (1946675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.30/2.93 % (1946675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.30/2.93 % (1946675)CaDiCaL version: 2.1.3
% 14.30/2.93 % (1946675)Termination reason: Instruction limit
% 14.30/2.93 % (1946675)Termination phase: Saturation
% 14.30/2.93 % (1946675)Time elapsed: 0.117 s
% 14.30/2.93 % (1946675)Peak memory usage: 89 MB
% 14.30/2.93 % (1946675)Instructions burned: 219 (million)
% 14.30/2.93 % (1946677)Instruction limit reached!
% 14.30/2.93 % (1946677)------------------------------
% 14.30/2.93 % (1946677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.30/2.93 % (1946677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.30/2.93 % (1946677)CaDiCaL version: 2.1.3
% 14.30/2.93 % (1946677)Termination reason: Instruction limit
% 14.30/2.93 % (1946677)Termination phase: Saturation
% 14.30/2.93 % (1946677)Time elapsed: 0.080 s
% 14.30/2.93 % (1946677)Peak memory usage: 89 MB
% 14.30/2.93 % (1946677)Instructions burned: 126 (million)
% 14.30/2.93 % (1946680)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1687301330:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 14.30/2.93 % (1946674)------------------------------
% 14.30/2.93 % (1946674)------------------------------
% 14.30/2.93 % (1946680)Instruction limit reached!
% 14.30/2.93 % (1946680)------------------------------
% 14.30/2.93 % (1946680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.30/2.93 % (1946680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.30/2.93 % (1946680)CaDiCaL version: 2.1.3
% 14.30/2.93 % (1946680)Termination reason: Instruction limit
% 14.30/2.93 % (1946680)Termination phase: Saturation
% 14.30/2.93 % (1946680)Time elapsed: 0.062 s
% 14.30/2.93 % (1946680)Peak memory usage: 89 MB
% 14.30/2.93 % (1946680)Instructions burned: 195 (million)
% 14.30/2.93 % (1946682)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2823844388:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 14.30/2.93 % (1946683)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2551260055:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 14.30/2.93 % (1946682)Instruction limit reached!
% 14.30/2.93 % (1946682)------------------------------
% 14.30/2.93 % (1946682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.30/2.93 % (1946682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.30/2.93 % (1946682)CaDiCaL version: 2.1.3
% 14.30/2.93 % (1946682)Termination reason: Instruction limit
% 14.30/2.93 % (1946682)Termination phase: Saturation
% 14.30/2.93 % (1946682)Time elapsed: 0.110 s
% 14.30/2.93 % (1946682)Peak memory usage: 91 MB
% 14.30/2.93 % (1946682)Instructions burned: 157 (million)
% 14.30/2.93 % (1946687)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=677547419:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 14.30/2.93 % (1946685)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=3698156480:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 14.30/2.93 % (1946687)Instruction limit reached!
% 14.30/2.93 % (1946687)------------------------------
% 14.30/2.93 % (1946687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.30/2.93 % (1946687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.30/2.93 % (1946687)CaDiCaL version: 2.1.3
% 14.30/2.93 % (1946687)Termination reason: Instruction limit
% 14.30/2.93 % (1946687)Termination phase: Saturation
% 14.30/2.93 % (1946687)Time elapsed: 0.039 s
% 14.30/2.93 % (1946687)Peak memory usage: 89 MB
% 14.30/2.93 % (1946687)Instructions burned: 107 (million)
% 14.30/2.93 % (1946685)Instruction limit reached!
% 14.30/2.93 % (1946685)------------------------------
% 14.30/2.93 % (1946685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.30/2.93 % (1946685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.30/2.93 % (1946685)CaDiCaL version: 2.1.3
% 14.30/2.93 % (1946685)Termination reason: Instruction limit
% 14.30/2.93 % (1946685)Termination phase: Saturation
% 14.30/2.93 % (1946685)Time elapsed: 0.048 s
% 14.30/2.93 % (1946685)Peak memory usage: 88 MB
% 14.30/2.93 % (1946685)Instructions burned: 106 (million)
% 14.30/2.93 % (1946690)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2923888966:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 14.30/2.93 % (1946692)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2539738016:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 14.30/2.93 % (1946693)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3616074449:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 14.30/2.93 % (1946690)Instruction limit reached!
% 14.30/2.93 % (1946690)------------------------------
% 14.30/2.93 % (1946690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.30/2.93 % (1946690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.30/2.93 % (1946690)CaDiCaL version: 2.1.3
% 14.30/2.93 % (1946690)Termination reason: Instruction limit
% 14.30/2.93 % (1946690)Termination phase: Saturation
% 14.30/2.93 % (1946690)Time elapsed: 0.163 s
% 14.30/2.93 % (1946690)Peak memory usage: 90 MB
% 14.30/2.93 % (1946690)Instructions burned: 242 (million)
% 14.30/2.93 % (1946693)Instruction limit reached!
% 14.30/2.93 % (1946693)------------------------------
% 14.30/2.93 % (1946693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.30/2.93 % (1946693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.30/2.93 % (1946693)CaDiCaL version: 2.1.3
% 14.30/2.93 % (1946693)Termination reason: Instruction limit
% 14.30/2.93 % (1946693)Termination phase: Saturation
% 14.30/2.93 % (1946693)Time elapsed: 0.095 s
% 14.30/2.93 % (1946693)Peak memory usage: 90 MB
% 14.30/2.93 % (1946693)Instructions burned: 134 (million)
% 14.30/2.93 % (1946697)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=4227199239:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 14.30/2.93 % (1946698)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=444183668:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 14.30/2.93 % (1946698)Instruction limit reached!
% 14.30/2.93 % (1946698)------------------------------
% 14.30/2.93 % (1946698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.30/2.93 % (1946698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.30/2.93 % (1946698)CaDiCaL version: 2.1.3
% 14.30/2.93 % (1946698)Termination reason: Instruction limit
% 14.30/2.93 % (1946698)Termination phase: Saturation
% 14.30/2.93 % (1946698)Time elapsed: 0.110 s
% 14.30/2.93 % (1946698)Peak memory usage: 89 MB
% 14.30/2.93 % (1946698)Instructions burned: 192 (million)
% 14.30/2.93 % (1946697)Instruction limit reached!
% 14.30/2.93 % (1946697)------------------------------
% 14.30/2.93 % (1946697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.30/2.93 % (1946697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.30/2.93 % (1946697)CaDiCaL version: 2.1.3
% 14.30/2.93 % (1946697)Termination reason: Instruction limit
% 14.30/2.93 % (1946697)Termination phase: Saturation
% 14.30/2.93 % (1946697)Time elapsed: 0.292 s
% 14.30/2.93 % (1946697)Peak memory usage: 94 MB
% 14.30/2.93 % (1946697)Instructions burned: 500 (million)
% 14.30/2.93 % (1946701)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=908924701:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 14.30/2.93 % (1946701)Instruction limit reached!
% 14.30/2.93 % (1946701)------------------------------
% 14.30/2.93 % (1946701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.30/2.93 % (1946701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.30/2.93 % (1946701)CaDiCaL version: 2.1.3
% 14.30/2.93 % (1946701)Termination reason: Instruction limit
% 14.30/2.93 % (1946701)Termination phase: Saturation
% 14.30/2.93 % (1946701)Time elapsed: 0.134 s
% 14.30/2.93 % (1946701)Peak memory usage: 91 MB
% 14.30/2.93 % (1946701)Instructions burned: 265 (million)
% 14.30/2.93 % (1946702)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=72563103:cond=on:i=156:bs=on:gtg=exists_all:er=known_2984 on theBenchmark for (2984ds/156Mi)
% 14.30/2.93 % (1946692)First to succeed.
% 14.30/2.93 % (1946692)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1946654"
% 14.30/2.93 % (1946702)Instruction limit reached!
% 14.30/2.93 % (1946702)------------------------------
% 14.30/2.93 % (1946702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.30/2.93 % (1946702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.30/2.93 % (1946702)CaDiCaL version: 2.1.3
% 14.30/2.93 % (1946702)Termination reason: Instruction limit
% 14.30/2.93 % (1946702)Termination phase: Saturation
% 14.30/2.93 % (1946702)Time elapsed: 0.110 s
% 14.30/2.93 % (1946702)Peak memory usage: 90 MB
% 14.30/2.93 % (1946702)Instructions burned: 156 (million)
% 14.30/2.93 % (1946704)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=4234731004:i=3256:kws=precedence:bd=preordered:av=off_2983 on theBenchmark for (2983ds/3256Mi)
% 14.30/2.93 % (1946706)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=1704894536:i=537:av=off:ss=included_2981 on theBenchmark for (2981ds/537Mi)
% 14.30/2.93 % (1946683)Instruction limit reached!
% 14.30/2.93 % (1946683)------------------------------
% 14.30/2.93 % (1946683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.30/2.93 % (1946683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.30/2.93 % (1946683)CaDiCaL version: 2.1.3
% 14.30/2.93 % (1946683)Termination reason: Instruction limit
% 14.30/2.93 % (1946683)Termination phase: Saturation
% 14.30/2.93 % (1946683)Time elapsed: 1.353 s
% 14.30/2.93 % (1946683)Peak memory usage: 147 MB
% 14.30/2.93 % (1946683)Instructions burned: 3396 (million)
% 14.30/2.93 % (1946692)Refutation found. Thanks to Tanya!
% 14.30/2.93 % SZS status Unsatisfiable for theBenchmark
% 14.30/2.93 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/3.03 % (1946692)------------------------------
% 0.16/3.03 % (1946692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/3.03 % (1946692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/3.03 % (1946692)CaDiCaL version: 2.1.3
% 0.16/3.03 % (1946692)Termination reason: Refutation
% 0.16/3.03 % (1946692)Time elapsed: 0.884 s
% 0.16/3.03 % (1946692)Peak memory usage: 136 MB
% 0.16/3.03 % (1946692)Instructions burned: 1713 (million)
% 0.16/3.03 % (1946692)------------------------------
% 0.16/3.03 % (1946692)------------------------------
% 0.16/3.03 % (1946654)Success in time 2.079 s
% 0.16/3.03 % Vampire exiting
%------------------------------------------------------------------------------