%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET273-6 : 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 : n001.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 12:40:40 PM UTC 2026
% Result : Unsatisfiable 9.19s 2.18s
% Output : Refutation 9.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 25
% Syntax : Number of formulae : 110 ( 25 unt; 5 def)
% Number of atoms : 280 ( 33 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 328 ( 158 ~; 170 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 9 con; 0-3 aty)
% Number of variables : 184 ( 184 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,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(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
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(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(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox2/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/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(f17,axiom,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
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(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(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f122,negated_conjecture,
restrict(xr,domain_of(xr),y) != restrict(xr,universal_class,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_domain_property3_1) ).
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(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,
intersection(xr,cross_product(domain_of(xr),y)) != intersection(xr,cross_product(universal_class,y)),
inference(definition_unfolding,[],[f122,f28,f28]) ).
fof(f190,definition,
sF0 = domain_of(xr),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f191,plain,
domain_of(xr) = sF0,
inference(reorient_equations,[],[f190]) ).
fof(f192,definition,
sF1 = cross_product(sF0,y),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f193,plain,
cross_product(sF0,y) = sF1,
inference(reorient_equations,[],[f192]) ).
fof(f194,definition,
sF2 = intersection(xr,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f195,plain,
intersection(xr,sF1) = sF2,
inference(reorient_equations,[],[f194]) ).
fof(f196,definition,
sF3 = cross_product(universal_class,y),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f197,plain,
cross_product(universal_class,y) = sF3,
inference(reorient_equations,[],[f196]) ).
fof(f198,definition,
sF4 = intersection(xr,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f199,plain,
intersection(xr,sF3) = sF4,
inference(reorient_equations,[],[f198]) ).
fof(f200,plain,
sF2 != sF4,
inference(definition_folding,[],[f185,f199,f197,f195,f193,f191]) ).
fof(f206,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f22]) ).
fof(f207,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f21]) ).
fof(f218,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X3,X4))
| member(second(X0),X2)
| ~ member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f137,f139]) ).
fof(f219,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X3,X4))
| member(first(X0),X1)
| ~ member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f136,f139]) ).
fof(f221,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X2,X1))
| member(second(X0),X1)
| ~ member(X0,sF1) ),
inference(superposition,[],[f218,f193]) ).
fof(f222,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X2,X1))
| member(second(X0),X1)
| ~ member(X0,sF3) ),
inference(superposition,[],[f218,f197]) ).
fof(f224,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1)
| ~ member(X0,sF1) ),
inference(superposition,[],[f219,f193]) ).
fof(f225,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1)
| ~ member(X0,sF3) ),
inference(superposition,[],[f219,f197]) ).
fof(f229,plain,
! [X0] :
( member(X0,sF2)
| ~ member(X0,sF1)
| ~ member(X0,xr) ),
inference(superposition,[],[f23,f195]) ).
fof(f230,plain,
! [X0] :
( member(X0,sF4)
| ~ member(X0,sF3)
| ~ member(X0,xr) ),
inference(superposition,[],[f23,f199]) ).
fof(f231,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF2),sF1)
| ~ member(not_subclass_element(X0,sF2),xr)
| subclass(X0,sF2) ),
inference(resolution,[],[f229,f3]) ).
fof(f244,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF4),sF3)
| ~ member(not_subclass_element(X0,sF4),xr)
| subclass(X0,sF4) ),
inference(resolution,[],[f230,f3]) ).
fof(f268,plain,
! [X0] :
( ~ member(X0,sF1)
| member(second(X0),y)
| ~ member(X0,sF1) ),
inference(superposition,[],[f221,f193]) ).
fof(f270,plain,
! [X0] :
( member(second(X0),y)
| ~ member(X0,sF1) ),
inference(duplicate_literal_removal,[],[f268]) ).
fof(f274,plain,
! [X0] :
( ~ member(X0,sF3)
| member(second(X0),y)
| ~ member(X0,sF3) ),
inference(superposition,[],[f222,f197]) ).
fof(f275,plain,
! [X0] :
( member(second(X0),y)
| ~ member(X0,sF3) ),
inference(duplicate_literal_removal,[],[f274]) ).
fof(f278,plain,
! [X0] :
( ~ member(X0,sF1)
| member(first(X0),sF0)
| ~ member(X0,sF1) ),
inference(superposition,[],[f224,f193]) ).
fof(f280,plain,
! [X0] :
( member(first(X0),sF0)
| ~ member(X0,sF1) ),
inference(duplicate_literal_removal,[],[f278]) ).
fof(f284,plain,
! [X0] :
( ~ member(X0,sF3)
| member(first(X0),universal_class)
| ~ member(X0,sF3) ),
inference(superposition,[],[f225,f197]) ).
fof(f285,plain,
! [X0] :
( member(first(X0),universal_class)
| ~ member(X0,sF3) ),
inference(duplicate_literal_removal,[],[f284]) ).
fof(f297,plain,
! [X2,X3,X0,X1,X4] :
( member(X0,cross_product(X1,X2))
| ~ member(second(X0),X2)
| ~ member(first(X0),X1)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f138,f139]) ).
fof(f309,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(second(X0),y)
| ~ member(first(X0),sF0)
| member(X0,sF1) ),
inference(superposition,[],[f297,f193]) ).
fof(f310,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(second(X0),y)
| ~ member(first(X0),universal_class)
| member(X0,sF3) ),
inference(superposition,[],[f297,f197]) ).
fof(f358,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(f401,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f207,f3]) ).
fof(f421,plain,
! [X0] :
( member(not_subclass_element(sF2,X0),xr)
| subclass(sF2,X0) ),
inference(superposition,[],[f207,f195]) ).
fof(f422,plain,
! [X0] :
( member(not_subclass_element(sF4,X0),xr)
| subclass(sF4,X0) ),
inference(superposition,[],[f207,f199]) ).
fof(f427,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f401]) ).
fof(f465,plain,
! [X0] :
( member(not_subclass_element(sF2,X0),sF1)
| subclass(sF2,X0) ),
inference(superposition,[],[f206,f195]) ).
fof(f466,plain,
! [X0] :
( member(not_subclass_element(sF4,X0),sF3)
| subclass(sF4,X0) ),
inference(superposition,[],[f206,f199]) ).
fof(f500,plain,
! [X0] :
( ~ member(X0,sF3)
| ~ member(second(X0),y)
| ~ member(first(X0),sF0)
| member(X0,sF1) ),
inference(superposition,[],[f309,f197]) ).
fof(f501,plain,
! [X0] :
( ~ member(first(X0),sF0)
| ~ member(X0,sF3)
| member(X0,sF1) ),
inference(forward_subsumption_resolution,[],[f500,f275]) ).
fof(f509,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f427,f70]) ).
fof(f517,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f509,f7]) ).
fof(f518,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f517]) ).
fof(f519,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f518,f427]) ).
fof(f526,plain,
! [X0,X1] :
( member(X0,X1)
| ~ member(X0,null_class) ),
inference(superposition,[],[f22,f519]) ).
fof(f557,plain,
! [X0,X1] :
( ~ member(X0,null_class)
| ~ member(X0,X1) ),
inference(resolution,[],[f526,f24]) ).
fof(f574,plain,
! [X0] : ~ member(X0,null_class),
inference(forward_subsumption_resolution,[],[f557,f526]) ).
fof(f645,plain,
! [X0] :
( ~ member(X0,sF1)
| ~ member(second(X0),y)
| ~ member(first(X0),universal_class)
| member(X0,sF3) ),
inference(superposition,[],[f310,f193]) ).
fof(f647,plain,
! [X0] :
( ~ member(first(X0),universal_class)
| ~ member(X0,sF1)
| member(X0,sF3) ),
inference(forward_subsumption_resolution,[],[f645,f270]) ).
fof(f653,plain,
! [X0,X1] :
( ~ member(X0,sF1)
| member(X0,sF3)
| ~ member(first(X0),X1)
| ~ subclass(X1,universal_class) ),
inference(resolution,[],[f647,f1]) ).
fof(f656,plain,
! [X0,X1] :
( ~ member(first(X0),X1)
| member(X0,sF3)
| ~ member(X0,sF1) ),
inference(forward_subsumption_resolution,[],[f653,f4]) ).
fof(f672,plain,
! [X0] :
( member(X0,sF3)
| ~ member(X0,sF1)
| ~ member(X0,sF1) ),
inference(resolution,[],[f656,f280]) ).
fof(f691,plain,
! [X0] :
( member(X0,sF3)
| ~ member(X0,sF1) ),
inference(duplicate_literal_removal,[],[f672]) ).
fof(f692,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF4),sF1)
| ~ member(not_subclass_element(X0,sF4),xr)
| subclass(X0,sF4) ),
inference(resolution,[],[f691,f244]) ).
fof(f697,plain,
( ~ member(not_subclass_element(sF2,sF4),xr)
| subclass(sF2,sF4)
| subclass(sF2,sF4) ),
inference(resolution,[],[f692,f465]) ).
fof(f708,plain,
( ~ member(not_subclass_element(sF2,sF4),xr)
| subclass(sF2,sF4) ),
inference(duplicate_literal_removal,[],[f697]) ).
fof(f719,plain,
subclass(sF2,sF4),
inference(forward_subsumption_resolution,[],[f708,f421]) ).
fof(f720,plain,
( ~ subclass(sF4,sF2)
| sF2 = sF4 ),
inference(resolution,[],[f719,f7]) ).
fof(f721,plain,
~ subclass(sF4,sF2),
inference(forward_subsumption_resolution,[],[f720,f200]) ).
fof(f732,plain,
! [X2,X3,X0,X1,X4] :
( member(X0,null_class)
| ~ member(X0,X1)
| ~ member(X2,universal_class)
| member(X2,domain_of(X1))
| ~ member(second(X0),universal_class)
| ~ member(first(X0),unordered_pair(X2,X2))
| ~ member(X0,cross_product(X3,X4)) ),
inference(resolution,[],[f358,f297]) ).
fof(f747,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(first(X0),unordered_pair(X2,X2))
| ~ member(X2,universal_class)
| member(X2,domain_of(X1))
| ~ member(second(X0),universal_class)
| ~ member(X0,X1)
| ~ member(X0,cross_product(X3,X4)) ),
inference(forward_subsumption_resolution,[],[f732,f574]) ).
fof(f2803,plain,
! [X2,X3,X0,X1] :
( ~ member(first(X0),universal_class)
| member(first(X0),domain_of(X1))
| ~ member(second(X0),universal_class)
| ~ member(X0,X1)
| ~ member(X0,cross_product(X2,X3))
| ~ member(first(X0),universal_class) ),
inference(resolution,[],[f747,f10]) ).
fof(f2807,plain,
! [X2,X3,X0,X1] :
( member(first(X0),domain_of(X1))
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class)
| ~ member(X0,X1)
| ~ member(X0,cross_product(X2,X3)) ),
inference(duplicate_literal_removal,[],[f2803]) ).
fof(f2889,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class)
| ~ member(X0,xr)
| member(first(X0),sF0) ),
inference(superposition,[],[f2807,f191]) ).
fof(f3063,plain,
! [X0] :
( ~ member(X0,sF3)
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class)
| ~ member(X0,xr)
| member(first(X0),sF0) ),
inference(superposition,[],[f2889,f197]) ).
fof(f3065,plain,
! [X0] :
( member(first(X0),sF0)
| ~ member(second(X0),universal_class)
| ~ member(X0,xr)
| ~ member(X0,sF3) ),
inference(forward_subsumption_resolution,[],[f3063,f285]) ).
fof(f3068,plain,
! [X0] :
( ~ member(second(X0),universal_class)
| ~ member(X0,xr)
| ~ member(X0,sF3)
| ~ member(X0,sF3)
| member(X0,sF1) ),
inference(resolution,[],[f3065,f501]) ).
fof(f3070,plain,
! [X0] :
( ~ member(second(X0),universal_class)
| ~ member(X0,xr)
| ~ member(X0,sF3)
| member(X0,sF1) ),
inference(duplicate_literal_removal,[],[f3068]) ).
fof(f3177,plain,
! [X0,X1] :
( ~ member(X0,xr)
| ~ member(X0,sF3)
| member(X0,sF1)
| ~ member(second(X0),X1)
| ~ subclass(X1,universal_class) ),
inference(resolution,[],[f3070,f1]) ).
fof(f3178,plain,
! [X0,X1] :
( ~ member(second(X0),X1)
| ~ member(X0,sF3)
| member(X0,sF1)
| ~ member(X0,xr) ),
inference(forward_subsumption_resolution,[],[f3177,f4]) ).
fof(f3233,plain,
! [X0] :
( ~ member(X0,sF3)
| member(X0,sF1)
| ~ member(X0,xr)
| ~ member(X0,sF3) ),
inference(resolution,[],[f3178,f275]) ).
fof(f3253,plain,
! [X0] :
( member(X0,sF1)
| ~ member(X0,sF3)
| ~ member(X0,xr) ),
inference(duplicate_literal_removal,[],[f3233]) ).
fof(f3254,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF2),sF3)
| ~ member(not_subclass_element(X0,sF2),xr)
| ~ member(not_subclass_element(X0,sF2),xr)
| subclass(X0,sF2) ),
inference(resolution,[],[f3253,f231]) ).
fof(f3267,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF2),sF3)
| ~ member(not_subclass_element(X0,sF2),xr)
| subclass(X0,sF2) ),
inference(duplicate_literal_removal,[],[f3254]) ).
fof(f3268,plain,
( ~ member(not_subclass_element(sF4,sF2),xr)
| subclass(sF4,sF2)
| subclass(sF4,sF2) ),
inference(resolution,[],[f3267,f466]) ).
fof(f3280,plain,
( ~ member(not_subclass_element(sF4,sF2),xr)
| subclass(sF4,sF2) ),
inference(duplicate_literal_removal,[],[f3268]) ).
fof(f3291,plain,
subclass(sF4,sF2),
inference(forward_subsumption_resolution,[],[f3280,f422]) ).
fof(f3292,plain,
$false,
inference(forward_subsumption_resolution,[],[f3291,f721]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET273-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n001.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 01:23:18 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 9.19/2.18 % (4130874)Input is clausal, will run a generic CNF schedule.
% 9.19/2.18 % (4130879)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=117392962:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.19/2.18 % (4130882)lrs+10_1_sil=8000:sp=occurrence:random_seed=393357337:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.19/2.18 % (4130881)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1561894399:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.19/2.18 % (4130882)Refutation not found, incomplete strategy
% 9.19/2.18 % (4130882)------------------------------
% 9.19/2.18 % (4130882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.18 % (4130882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.18 % (4130882)CaDiCaL version: 2.1.3
% 9.19/2.18 % (4130882)Termination reason: Refutation not found, incomplete strategy
% 9.19/2.18 % (4130882)Time elapsed: 0.002 s
% 9.19/2.18 % (4130882)Peak memory usage: 88 MB
% 9.19/2.18 % (4130882)Instructions burned: 1 (million)
% 9.19/2.18 % (4130880)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3740983635:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.19/2.18 % (4130883)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1132895418:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.19/2.18 % (4130885)dis-21_1_sil=8000:lcm=predicate:random_seed=1274169445: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)
% 9.19/2.18 % (4130884)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=976004181:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.19/2.18 % (4130883)Instruction limit reached!
% 9.19/2.18 % (4130883)------------------------------
% 9.19/2.18 % (4130883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.18 % (4130883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.18 % (4130883)CaDiCaL version: 2.1.3
% 9.19/2.18 % (4130883)Termination reason: Instruction limit
% 9.19/2.18 % (4130883)Termination phase: Saturation
% 9.19/2.18 % (4130883)Time elapsed: 0.067 s
% 9.19/2.18 % (4130883)Peak memory usage: 88 MB
% 9.19/2.18 % (4130883)Instructions burned: 116 (million)
% 9.19/2.18 % (4130885)Instruction limit reached!
% 9.19/2.18 % (4130885)------------------------------
% 9.19/2.18 % (4130885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.18 % (4130885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.18 % (4130885)CaDiCaL version: 2.1.3
% 9.19/2.18 % (4130885)Termination reason: Instruction limit
% 9.19/2.18 % (4130885)Termination phase: Saturation
% 9.19/2.18 % (4130885)Time elapsed: 0.071 s
% 9.19/2.18 % (4130885)Peak memory usage: 89 MB
% 9.19/2.18 % (4130885)Instructions burned: 118 (million)
% 9.19/2.18 % (4130884)Instruction limit reached!
% 9.19/2.18 % (4130884)------------------------------
% 9.19/2.18 % (4130884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.18 % (4130884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.18 % (4130884)CaDiCaL version: 2.1.3
% 9.19/2.18 % (4130884)Termination reason: Instruction limit
% 9.19/2.18 % (4130884)Termination phase: Saturation
% 9.19/2.18 % (4130884)Time elapsed: 0.135 s
% 9.19/2.18 % (4130884)Peak memory usage: 90 MB
% 9.19/2.18 % (4130884)Instructions burned: 180 (million)
% 9.19/2.18 % (4130893)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=43709512:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 9.19/2.18 % (4130893)Refutation not found, incomplete strategy
% 9.19/2.18 % (4130893)------------------------------
% 9.19/2.18 % (4130893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.18 % (4130893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.18 % (4130893)CaDiCaL version: 2.1.3
% 9.19/2.18 % (4130893)Termination reason: Refutation not found, incomplete strategy
% 9.19/2.18 % (4130893)Time elapsed: 0.002 s
% 9.19/2.18 % (4130893)Peak memory usage: 88 MB
% 9.19/2.18 % (4130893)Instructions burned: 2 (million)
% 9.19/2.18 % (4130894)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1262429274: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)
% 9.19/2.18 % (4130882)------------------------------
% 9.19/2.18 % (4130882)------------------------------
% 9.19/2.18 % (4130894)Refutation not found, incomplete strategy
% 9.19/2.18 % (4130894)------------------------------
% 9.19/2.18 % (4130894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.18 % (4130894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.18 % (4130894)CaDiCaL version: 2.1.3
% 9.19/2.18 % (4130894)Termination reason: Refutation not found, incomplete strategy
% 9.19/2.18 % (4130894)Time elapsed: 0.012 s
% 9.19/2.18 % (4130894)Peak memory usage: 89 MB
% 9.19/2.18 % (4130894)Instructions burned: 21 (million)
% 9.19/2.18 % (4130895)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3395194507:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 9.19/2.18 % (4130898)lrs+10_64_to=lpo:sil=8000:random_seed=4238590230:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 9.19/2.18 % (4130895)Instruction limit reached!
% 9.19/2.18 % (4130895)------------------------------
% 9.19/2.18 % (4130895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.18 % (4130895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.18 % (4130895)CaDiCaL version: 2.1.3
% 9.19/2.18 % (4130895)Termination reason: Instruction limit
% 9.19/2.18 % (4130895)Termination phase: Saturation
% 9.19/2.18 % (4130895)Time elapsed: 0.120 s
% 9.19/2.18 % (4130895)Peak memory usage: 88 MB
% 9.19/2.18 % (4130895)Instructions burned: 220 (million)
% 9.19/2.18 % (4130893)------------------------------
% 9.19/2.18 % (4130893)------------------------------
% 9.19/2.18 % (4130898)Instruction limit reached!
% 9.19/2.18 % (4130898)------------------------------
% 9.19/2.18 % (4130898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.18 % (4130898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.18 % (4130898)CaDiCaL version: 2.1.3
% 9.19/2.18 % (4130898)Termination reason: Instruction limit
% 9.19/2.18 % (4130898)Termination phase: Saturation
% 9.19/2.18 % (4130898)Time elapsed: 0.078 s
% 9.19/2.18 % (4130898)Peak memory usage: 89 MB
% 9.19/2.18 % (4130898)Instructions burned: 126 (million)
% 9.19/2.18 % (4130894)------------------------------
% 9.19/2.18 % (4130894)------------------------------
% 9.19/2.18 % (4130901)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2849887118:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 9.19/2.18 % (4130902)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1802977310:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 9.19/2.18 % (4130903)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3395653834:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 9.19/2.18 % (4130904)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=2914975599:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 9.19/2.18 % (4130904)Instruction limit reached!
% 9.19/2.18 % (4130904)------------------------------
% 9.19/2.18 % (4130904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.18 % (4130904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.18 % (4130904)CaDiCaL version: 2.1.3
% 9.19/2.18 % (4130904)Termination reason: Instruction limit
% 9.19/2.18 % (4130904)Termination phase: Saturation
% 9.19/2.18 % (4130904)Time elapsed: 0.069 s
% 9.19/2.18 % (4130904)Peak memory usage: 89 MB
% 9.19/2.18 % (4130904)Instructions burned: 107 (million)
% 9.19/2.18 % (4130902)Instruction limit reached!
% 9.19/2.18 % (4130902)------------------------------
% 9.19/2.18 % (4130902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.18 % (4130902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.18 % (4130902)CaDiCaL version: 2.1.3
% 9.19/2.18 % (4130902)Termination reason: Instruction limit
% 9.19/2.18 % (4130902)Termination phase: Saturation
% 9.19/2.18 % (4130902)Time elapsed: 0.103 s
% 9.19/2.18 % (4130902)Peak memory usage: 91 MB
% 9.19/2.18 % (4130902)Instructions burned: 158 (million)
% 9.19/2.18 % (4130901)Instruction limit reached!
% 9.19/2.18 % (4130901)------------------------------
% 9.19/2.18 % (4130901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.18 % (4130901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.18 % (4130901)CaDiCaL version: 2.1.3
% 9.19/2.18 % (4130901)Termination reason: Instruction limit
% 9.19/2.18 % (4130901)Termination phase: Saturation
% 9.19/2.18 % (4130901)Time elapsed: 0.118 s
% 9.19/2.18 % (4130901)Peak memory usage: 89 MB
% 9.19/2.18 % (4130901)Instructions burned: 195 (million)
% 9.19/2.18 % (4130909)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3594996821:i=107_2991 on theBenchmark for (2991ds/107Mi)
% 9.19/2.18 % (4130909)Refutation not found, incomplete strategy
% 9.19/2.18 % (4130909)------------------------------
% 9.19/2.18 % (4130909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.18 % (4130909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.18 % (4130909)CaDiCaL version: 2.1.3
% 9.19/2.18 % (4130909)Termination reason: Refutation not found, incomplete strategy
% 9.19/2.18 % (4130909)Time elapsed: 0.005 s
% 9.19/2.18 % (4130909)Peak memory usage: 88 MB
% 9.19/2.18 % (4130909)Instructions burned: 8 (million)
% 9.19/2.18 % (4130911)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1427648372:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 9.19/2.18 % (4130910)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1880964090:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 9.19/2.18 % (4130881)First to succeed.
% 9.19/2.18 % (4130881)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4130874"
% 9.19/2.18 % (4130910)Instruction limit reached!
% 9.19/2.18 % (4130910)------------------------------
% 9.19/2.18 % (4130910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.18 % (4130910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.18 % (4130910)CaDiCaL version: 2.1.3
% 9.19/2.18 % (4130910)Termination reason: Instruction limit
% 9.19/2.18 % (4130910)Termination phase: Saturation
% 9.19/2.18 % (4130910)Time elapsed: 0.162 s
% 9.19/2.18 % (4130910)Peak memory usage: 90 MB
% 9.19/2.18 % (4130910)Instructions burned: 242 (million)
% 9.19/2.18 % (4130909)------------------------------
% 9.19/2.18 % (4130909)------------------------------
% 9.19/2.18 % (4130915)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3101722093:i=134:sd=2:doe=on:ss=axioms:sgt=14_2988 on theBenchmark for (2988ds/134Mi)
% 9.19/2.18 % (4130879)Also succeeded, but the first one will report.
% 9.19/2.18 % (4130881)Refutation found. Thanks to Tanya!
% 9.19/2.18 % SZS status Unsatisfiable for theBenchmark
% 9.19/2.18 % SZS output start Proof for theBenchmark
% See solution above
% 9.74/2.38 % (4130881)------------------------------
% 9.74/2.38 % (4130881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/2.38 % (4130881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/2.38 % (4130881)CaDiCaL version: 2.1.3
% 9.74/2.38 % (4130881)Termination reason: Refutation
% 9.74/2.38 % (4130881)Time elapsed: 0.903 s
% 9.74/2.38 % (4130881)Peak memory usage: 132 MB
% 9.74/2.38 % (4130881)Instructions burned: 1369 (million)
% 9.74/2.38 % (4130881)------------------------------
% 9.74/2.38 % (4130881)------------------------------
% 9.74/2.38 % (4130874)Success in time 1.301 s
% 9.74/2.38 % Vampire exiting
%------------------------------------------------------------------------------