%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET142-6 : 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 : n014.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 12:40:16 PM UTC 2026
% Result : Unsatisfiable 4.58s 1.58s
% Output : Refutation 5.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 36
% Syntax : Number of formulae : 151 ( 53 unt; 22 def)
% Number of atoms : 302 ( 49 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 236 ( 85 ~; 149 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 11 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 25 con; 0-2 aty)
% Number of variables : 113 ( 0 sgn 113 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
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(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f101,axiom,
! [X0,X1] : union(singleton(X0),X1) = set_builder(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_of_set_builder) ).
fof(f102,negated_conjecture,
set_builder(x,set_builder(y,set_builder(z,null_class))) != set_builder(y,set_builder(x,set_builder(z,null_class))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordering_in_triple_1) ).
fof(f108,plain,
! [X0,X1] : set_builder(X0,X1) = complement(intersection(complement(unordered_pair(X0,X0)),complement(X1))),
inference(definition_unfolding,[],[f101,f26,f12]) ).
fof(f152,plain,
complement(intersection(complement(unordered_pair(x,x)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))) != complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(x,x)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),
inference(definition_unfolding,[],[f102,f108,f108,f108,f108,f108,f108]) ).
fof(f156,definition,
sF0 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f157,plain,
unordered_pair(x,x) = sF0,
inference(reorient_equations,[],[f156]) ).
fof(f158,definition,
sF1 = complement(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f159,plain,
complement(sF0) = sF1,
inference(reorient_equations,[],[f158]) ).
fof(f160,definition,
sF2 = unordered_pair(y,y),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f161,plain,
unordered_pair(y,y) = sF2,
inference(reorient_equations,[],[f160]) ).
fof(f162,definition,
sF3 = complement(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f163,plain,
complement(sF2) = sF3,
inference(reorient_equations,[],[f162]) ).
fof(f164,definition,
sF4 = unordered_pair(z,z),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f165,plain,
unordered_pair(z,z) = sF4,
inference(reorient_equations,[],[f164]) ).
fof(f166,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f167,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f166]) ).
fof(f168,definition,
sF6 = complement(null_class),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f169,plain,
complement(null_class) = sF6,
inference(reorient_equations,[],[f168]) ).
fof(f170,definition,
sF7 = intersection(sF5,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f171,plain,
intersection(sF5,sF6) = sF7,
inference(reorient_equations,[],[f170]) ).
fof(f172,definition,
sF8 = complement(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f173,plain,
complement(sF7) = sF8,
inference(reorient_equations,[],[f172]) ).
fof(f174,definition,
sF9 = complement(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f175,plain,
complement(sF8) = sF9,
inference(reorient_equations,[],[f174]) ).
fof(f176,definition,
sF10 = intersection(sF3,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f177,plain,
intersection(sF3,sF9) = sF10,
inference(reorient_equations,[],[f176]) ).
fof(f178,definition,
sF11 = complement(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f179,plain,
complement(sF10) = sF11,
inference(reorient_equations,[],[f178]) ).
fof(f180,definition,
sF12 = complement(sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f181,plain,
complement(sF11) = sF12,
inference(reorient_equations,[],[f180]) ).
fof(f182,definition,
sF13 = intersection(sF1,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f183,plain,
intersection(sF1,sF12) = sF13,
inference(reorient_equations,[],[f182]) ).
fof(f184,definition,
sF14 = complement(sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f185,plain,
complement(sF13) = sF14,
inference(reorient_equations,[],[f184]) ).
fof(f186,definition,
sF15 = intersection(sF1,sF9),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f187,plain,
intersection(sF1,sF9) = sF15,
inference(reorient_equations,[],[f186]) ).
fof(f188,definition,
sF16 = complement(sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f189,plain,
complement(sF15) = sF16,
inference(reorient_equations,[],[f188]) ).
fof(f190,definition,
sF17 = complement(sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f191,plain,
complement(sF16) = sF17,
inference(reorient_equations,[],[f190]) ).
fof(f192,definition,
sF18 = intersection(sF3,sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f193,plain,
intersection(sF3,sF17) = sF18,
inference(reorient_equations,[],[f192]) ).
fof(f194,definition,
sF19 = complement(sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f195,plain,
complement(sF18) = sF19,
inference(reorient_equations,[],[f194]) ).
fof(f196,plain,
sF14 != sF19,
inference(definition_folding,[],[f152,f195,f193,f191,f189,f187,f175,f173,f171,f169,f167,f165,f159,f157,f163,f161,f185,f183,f181,f179,f177,f175,f173,f171,f169,f167,f165,f163,f161,f159,f157]) ).
fof(f198,plain,
! [X0] :
( ~ member(X0,sF15)
| member(X0,sF1) ),
inference(superposition,[],[f21,f187]) ).
fof(f199,plain,
! [X0] :
( ~ member(X0,sF10)
| member(X0,sF3) ),
inference(superposition,[],[f21,f177]) ).
fof(f200,plain,
! [X0] :
( ~ member(X0,sF13)
| member(X0,sF1) ),
inference(superposition,[],[f21,f183]) ).
fof(f201,plain,
! [X0] :
( ~ member(X0,sF18)
| member(X0,sF3) ),
inference(superposition,[],[f21,f193]) ).
fof(f203,plain,
! [X0] :
( ~ member(X0,sF15)
| member(X0,sF9) ),
inference(superposition,[],[f22,f187]) ).
fof(f204,plain,
! [X0] :
( ~ member(X0,sF10)
| member(X0,sF9) ),
inference(superposition,[],[f22,f177]) ).
fof(f205,plain,
! [X0] :
( ~ member(X0,sF13)
| member(X0,sF12) ),
inference(superposition,[],[f22,f183]) ).
fof(f206,plain,
! [X0] :
( ~ member(X0,sF18)
| member(X0,sF17) ),
inference(superposition,[],[f22,f193]) ).
fof(f213,plain,
! [X0] :
( ~ member(X0,sF11)
| ~ member(X0,sF10) ),
inference(superposition,[],[f24,f179]) ).
fof(f214,plain,
! [X0] :
( ~ member(X0,sF12)
| ~ member(X0,sF11) ),
inference(superposition,[],[f24,f181]) ).
fof(f215,plain,
! [X0] :
( ~ member(X0,sF14)
| ~ member(X0,sF13) ),
inference(superposition,[],[f24,f185]) ).
fof(f216,plain,
! [X0] :
( ~ member(X0,sF16)
| ~ member(X0,sF15) ),
inference(superposition,[],[f24,f189]) ).
fof(f217,plain,
! [X0] :
( ~ member(X0,sF17)
| ~ member(X0,sF16) ),
inference(superposition,[],[f24,f191]) ).
fof(f218,plain,
! [X0] :
( ~ member(X0,sF19)
| ~ member(X0,sF18) ),
inference(superposition,[],[f24,f195]) ).
fof(f226,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF11)
| member(X0,sF10) ),
inference(superposition,[],[f25,f179]) ).
fof(f227,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF12)
| member(X0,sF11) ),
inference(superposition,[],[f25,f181]) ).
fof(f228,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF14)
| member(X0,sF13) ),
inference(superposition,[],[f25,f185]) ).
fof(f229,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF16)
| member(X0,sF15) ),
inference(superposition,[],[f25,f189]) ).
fof(f230,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF17)
| member(X0,sF16) ),
inference(superposition,[],[f25,f191]) ).
fof(f231,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF19)
| member(X0,sF18) ),
inference(superposition,[],[f25,f195]) ).
fof(f235,plain,
! [X0] :
( ~ member(X0,sF9)
| member(X0,sF15)
| ~ member(X0,sF1) ),
inference(superposition,[],[f23,f187]) ).
fof(f236,plain,
! [X0] :
( ~ member(X0,sF9)
| member(X0,sF10)
| ~ member(X0,sF3) ),
inference(superposition,[],[f23,f177]) ).
fof(f237,plain,
! [X0] :
( ~ member(X0,sF12)
| member(X0,sF13)
| ~ member(X0,sF1) ),
inference(superposition,[],[f23,f183]) ).
fof(f238,plain,
! [X0] :
( ~ member(X0,sF17)
| member(X0,sF18)
| ~ member(X0,sF3) ),
inference(superposition,[],[f23,f193]) ).
fof(f251,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X1),X2)
| ~ subclass(X0,X2)
| subclass(X0,X1) ),
inference(resolution,[],[f2,f1]) ).
fof(f289,plain,
! [X0] :
( ~ member(not_subclass_element(sF14,X0),sF13)
| subclass(sF14,X0) ),
inference(resolution,[],[f2,f215]) ).
fof(f297,plain,
! [X0] :
( ~ member(not_subclass_element(sF19,X0),sF18)
| subclass(sF19,X0) ),
inference(resolution,[],[f2,f218]) ).
fof(f309,plain,
! [X0,X1] :
( ~ subclass(X0,universal_class)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF11)
| member(not_subclass_element(X0,X1),sF10) ),
inference(resolution,[],[f251,f226]) ).
fof(f310,plain,
! [X0,X1] :
( ~ subclass(X0,universal_class)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF12)
| member(not_subclass_element(X0,X1),sF11) ),
inference(resolution,[],[f251,f227]) ).
fof(f311,plain,
! [X0,X1] :
( ~ subclass(X0,universal_class)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF14)
| member(not_subclass_element(X0,X1),sF13) ),
inference(resolution,[],[f251,f228]) ).
fof(f312,plain,
! [X0,X1] :
( ~ subclass(X0,universal_class)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF16)
| member(not_subclass_element(X0,X1),sF15) ),
inference(resolution,[],[f251,f229]) ).
fof(f313,plain,
! [X0,X1] :
( ~ subclass(X0,universal_class)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF17)
| member(not_subclass_element(X0,X1),sF16) ),
inference(resolution,[],[f251,f230]) ).
fof(f314,plain,
! [X0,X1] :
( ~ subclass(X0,universal_class)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF19)
| member(not_subclass_element(X0,X1),sF18) ),
inference(resolution,[],[f251,f231]) ).
fof(f352,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF19)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF18) ),
inference(forward_subsumption_resolution,[],[f314,f4]) ).
fof(f353,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF17)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF16) ),
inference(forward_subsumption_resolution,[],[f313,f4]) ).
fof(f354,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF16)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF15) ),
inference(forward_subsumption_resolution,[],[f312,f4]) ).
fof(f355,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF14)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF13) ),
inference(forward_subsumption_resolution,[],[f311,f4]) ).
fof(f356,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF12)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF11) ),
inference(forward_subsumption_resolution,[],[f310,f4]) ).
fof(f357,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF11)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF10) ),
inference(forward_subsumption_resolution,[],[f309,f4]) ).
fof(f380,plain,
! [X0] :
( subclass(X0,sF14)
| member(not_subclass_element(X0,sF14),sF13)
| subclass(X0,sF14) ),
inference(resolution,[],[f355,f3]) ).
fof(f383,plain,
! [X0] :
( member(not_subclass_element(X0,sF14),sF13)
| subclass(X0,sF14) ),
inference(duplicate_literal_removal,[],[f380]) ).
fof(f385,plain,
! [X0] :
( member(not_subclass_element(X0,sF14),sF12)
| subclass(X0,sF14) ),
inference(resolution,[],[f383,f205]) ).
fof(f386,plain,
! [X0] :
( member(not_subclass_element(X0,sF14),sF1)
| subclass(X0,sF14) ),
inference(resolution,[],[f383,f200]) ).
fof(f389,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF14),sF11)
| subclass(X0,sF14) ),
inference(resolution,[],[f385,f214]) ).
fof(f402,plain,
! [X0] :
( subclass(X0,sF19)
| member(not_subclass_element(X0,sF19),sF18)
| subclass(X0,sF19) ),
inference(resolution,[],[f352,f3]) ).
fof(f405,plain,
! [X0] :
( member(not_subclass_element(X0,sF19),sF18)
| subclass(X0,sF19) ),
inference(duplicate_literal_removal,[],[f402]) ).
fof(f407,plain,
! [X0] :
( member(not_subclass_element(X0,sF19),sF17)
| subclass(X0,sF19) ),
inference(resolution,[],[f405,f206]) ).
fof(f408,plain,
! [X0] :
( member(not_subclass_element(X0,sF19),sF3)
| subclass(X0,sF19) ),
inference(resolution,[],[f405,f201]) ).
fof(f411,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF19),sF16)
| subclass(X0,sF19) ),
inference(resolution,[],[f407,f217]) ).
fof(f436,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),sF3)
| member(not_subclass_element(X0,X1),sF16)
| member(not_subclass_element(X0,X1),sF18)
| subclass(X0,X1) ),
inference(resolution,[],[f353,f238]) ).
fof(f447,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),sF1)
| member(not_subclass_element(X0,X1),sF11)
| member(not_subclass_element(X0,X1),sF13)
| subclass(X0,X1) ),
inference(resolution,[],[f356,f237]) ).
fof(f466,plain,
! [X0] :
( subclass(X0,sF19)
| member(not_subclass_element(X0,sF19),sF15)
| subclass(X0,sF19) ),
inference(resolution,[],[f354,f411]) ).
fof(f471,plain,
! [X0] :
( member(not_subclass_element(X0,sF19),sF15)
| subclass(X0,sF19) ),
inference(duplicate_literal_removal,[],[f466]) ).
fof(f472,plain,
! [X0] :
( member(not_subclass_element(X0,sF19),sF1)
| subclass(X0,sF19) ),
inference(resolution,[],[f471,f198]) ).
fof(f473,plain,
! [X0] :
( member(not_subclass_element(X0,sF19),sF9)
| subclass(X0,sF19) ),
inference(resolution,[],[f471,f203]) ).
fof(f476,plain,
! [X0] :
( subclass(X0,sF19)
| member(not_subclass_element(X0,sF19),sF10)
| ~ member(not_subclass_element(X0,sF19),sF3) ),
inference(resolution,[],[f473,f236]) ).
fof(f479,plain,
! [X0] :
( member(not_subclass_element(X0,sF19),sF10)
| subclass(X0,sF19) ),
inference(forward_subsumption_resolution,[],[f476,f408]) ).
fof(f489,plain,
! [X0] :
( subclass(X0,sF19)
| member(not_subclass_element(X0,sF19),sF11)
| member(not_subclass_element(X0,sF19),sF13)
| subclass(X0,sF19) ),
inference(resolution,[],[f472,f447]) ).
fof(f492,plain,
! [X0] :
( member(not_subclass_element(X0,sF19),sF13)
| member(not_subclass_element(X0,sF19),sF11)
| subclass(X0,sF19) ),
inference(duplicate_literal_removal,[],[f489]) ).
fof(f499,plain,
( member(not_subclass_element(sF14,sF19),sF11)
| subclass(sF14,sF19)
| subclass(sF14,sF19) ),
inference(resolution,[],[f492,f289]) ).
fof(f503,plain,
( member(not_subclass_element(sF14,sF19),sF11)
| subclass(sF14,sF19) ),
inference(duplicate_literal_removal,[],[f499]) ).
fof(f505,definition,
( spl20_5
<=> subclass(sF14,sF19) ),
introduced(definition,[new_symbols(definition,[spl20_5])],[avatar_definition]) ).
fof(f506,plain,
( ~ subclass(sF14,sF19)
| spl20_5 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f507,plain,
( subclass(sF14,sF19)
| ~ spl20_5 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f509,definition,
( spl20_6
<=> member(not_subclass_element(sF14,sF19),sF11) ),
introduced(definition,[new_symbols(definition,[spl20_6])],[avatar_definition]) ).
fof(f511,plain,
( member(not_subclass_element(sF14,sF19),sF11)
| ~ spl20_6 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f512,plain,
( spl20_5
| spl20_6 ),
inference(avatar_split_clause,[],[f503,f509,f505]) ).
fof(f513,plain,
( ~ subclass(sF19,sF14)
| sF14 = sF19
| ~ spl20_5 ),
inference(resolution,[],[f507,f7]) ).
fof(f514,plain,
( ~ subclass(sF19,sF14)
| ~ spl20_5 ),
inference(forward_subsumption_resolution,[],[f513,f196]) ).
fof(f515,plain,
! [X0] :
( subclass(X0,sF14)
| member(not_subclass_element(X0,sF14),sF10)
| subclass(X0,sF14) ),
inference(resolution,[],[f357,f389]) ).
fof(f520,plain,
! [X0] :
( member(not_subclass_element(X0,sF14),sF10)
| subclass(X0,sF14) ),
inference(duplicate_literal_removal,[],[f515]) ).
fof(f521,plain,
! [X0] :
( member(not_subclass_element(X0,sF14),sF3)
| subclass(X0,sF14) ),
inference(resolution,[],[f520,f199]) ).
fof(f522,plain,
! [X0] :
( member(not_subclass_element(X0,sF14),sF9)
| subclass(X0,sF14) ),
inference(resolution,[],[f520,f204]) ).
fof(f526,plain,
! [X0] :
( subclass(X0,sF14)
| member(not_subclass_element(X0,sF14),sF15)
| ~ member(not_subclass_element(X0,sF14),sF1) ),
inference(resolution,[],[f522,f235]) ).
fof(f528,plain,
! [X0] :
( member(not_subclass_element(X0,sF14),sF15)
| subclass(X0,sF14) ),
inference(forward_subsumption_resolution,[],[f526,f386]) ).
fof(f538,plain,
! [X0] :
( subclass(X0,sF14)
| member(not_subclass_element(X0,sF14),sF16)
| member(not_subclass_element(X0,sF14),sF18)
| subclass(X0,sF14) ),
inference(resolution,[],[f521,f436]) ).
fof(f541,plain,
! [X0] :
( member(not_subclass_element(X0,sF14),sF18)
| member(not_subclass_element(X0,sF14),sF16)
| subclass(X0,sF14) ),
inference(duplicate_literal_removal,[],[f538]) ).
fof(f548,plain,
( member(not_subclass_element(sF19,sF14),sF16)
| subclass(sF19,sF14)
| subclass(sF19,sF14) ),
inference(resolution,[],[f541,f297]) ).
fof(f552,plain,
( member(not_subclass_element(sF19,sF14),sF16)
| subclass(sF19,sF14) ),
inference(duplicate_literal_removal,[],[f548]) ).
fof(f553,plain,
( member(not_subclass_element(sF19,sF14),sF16)
| ~ spl20_5 ),
inference(forward_subsumption_resolution,[],[f552,f514]) ).
fof(f554,plain,
( ~ member(not_subclass_element(sF19,sF14),sF15)
| ~ spl20_5 ),
inference(resolution,[],[f553,f216]) ).
fof(f556,plain,
( subclass(sF19,sF14)
| ~ spl20_5 ),
inference(resolution,[],[f554,f528]) ).
fof(f559,plain,
( $false
| ~ spl20_5 ),
inference(forward_subsumption_resolution,[],[f556,f514]) ).
fof(f560,plain,
~ spl20_5,
inference(avatar_contradiction_clause,[],[f559]) ).
fof(f570,plain,
( ~ member(not_subclass_element(sF14,sF19),sF10)
| ~ spl20_6 ),
inference(resolution,[],[f511,f213]) ).
fof(f573,plain,
( subclass(sF14,sF19)
| ~ spl20_6 ),
inference(resolution,[],[f570,f479]) ).
fof(f576,plain,
( $false
| spl20_5
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f573,f506]) ).
fof(f577,plain,
( spl20_5
| ~ spl20_6 ),
inference(avatar_contradiction_clause,[],[f576]) ).
cnf(s3,plain,
( spl20_5
| spl20_6 ),
inference(sat_conversion,[],[f512]) ).
cnf(s4,plain,
~ spl20_5,
inference(sat_conversion,[],[f560]) ).
cnf(s6,plain,
( spl20_5
| ~ spl20_6 ),
inference(sat_conversion,[],[f577]) ).
cnf(s7,plain,
~ spl20_6,
inference(rat,[],[s6,s4]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s3,s7,s4]) ).
fof(f578,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET142-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n014.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 00:52:32 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 4.58/1.58 % (1328857)Input is clausal, will run a generic CNF schedule.
% 4.58/1.58 % (1328862)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=2537614778:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.58/1.58 % (1328863)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4171966407:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.58/1.58 % (1328865)lrs+10_1_sil=8000:sp=occurrence:random_seed=1152783617:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.58/1.58 % (1328866)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1089156640:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.58/1.58 % (1328864)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=626441355:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.58/1.58 % (1328867)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=255637549:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.58/1.58 % (1328865)Refutation not found, incomplete strategy
% 4.58/1.58 % (1328865)------------------------------
% 4.58/1.58 % (1328865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.58 % (1328865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.58 % (1328865)CaDiCaL version: 2.1.3
% 4.58/1.58 % (1328865)Termination reason: Refutation not found, incomplete strategy
% 4.58/1.58 % (1328865)Time elapsed: 0.002 s
% 4.58/1.58 % (1328865)Peak memory usage: 88 MB
% 4.58/1.58 % (1328865)Instructions burned: 2 (million)
% 4.58/1.58 % (1328868)dis-21_1_sil=8000:lcm=predicate:random_seed=249942424: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)
% 4.58/1.58 % (1328866)Instruction limit reached!
% 4.58/1.58 % (1328866)------------------------------
% 4.58/1.58 % (1328866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.58 % (1328866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.58 % (1328866)CaDiCaL version: 2.1.3
% 4.58/1.58 % (1328866)Termination reason: Instruction limit
% 4.58/1.58 % (1328866)Termination phase: Saturation
% 4.58/1.58 % (1328866)Time elapsed: 0.068 s
% 4.58/1.58 % (1328866)Peak memory usage: 89 MB
% 4.58/1.58 % (1328866)Instructions burned: 116 (million)
% 4.58/1.58 % (1328868)Instruction limit reached!
% 4.58/1.58 % (1328868)------------------------------
% 4.58/1.58 % (1328868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.58 % (1328868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.58 % (1328868)CaDiCaL version: 2.1.3
% 4.58/1.58 % (1328868)Termination reason: Instruction limit
% 4.58/1.58 % (1328868)Termination phase: Saturation
% 4.58/1.58 % (1328868)Time elapsed: 0.065 s
% 4.58/1.58 % (1328868)Peak memory usage: 89 MB
% 4.58/1.58 % (1328868)Instructions burned: 119 (million)
% 4.58/1.58 % (1328867)Instruction limit reached!
% 4.58/1.58 % (1328867)------------------------------
% 4.58/1.58 % (1328867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.58 % (1328867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.58 % (1328867)CaDiCaL version: 2.1.3
% 4.58/1.58 % (1328867)Termination reason: Instruction limit
% 4.58/1.58 % (1328867)Termination phase: Saturation
% 4.58/1.58 % (1328867)Time elapsed: 0.138 s
% 4.58/1.58 % (1328867)Peak memory usage: 90 MB
% 4.58/1.58 % (1328867)Instructions burned: 180 (million)
% 4.58/1.58 % (1328877)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2930915444: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)
% 4.58/1.58 % (1328876)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=581457088:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.58/1.58 % (1328876)Refutation not found, incomplete strategy
% 4.58/1.58 % (1328876)------------------------------
% 4.58/1.58 % (1328876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.58 % (1328876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.58 % (1328876)CaDiCaL version: 2.1.3
% 4.58/1.58 % (1328876)Termination reason: Refutation not found, incomplete strategy
% 4.58/1.58 % (1328876)Time elapsed: 0.003 s
% 4.58/1.58 % (1328876)Peak memory usage: 88 MB
% 4.58/1.58 % (1328876)Instructions burned: 3 (million)
% 4.58/1.58 % (1328877)Refutation not found, incomplete strategy
% 4.58/1.58 % (1328877)------------------------------
% 4.58/1.58 % (1328877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.58 % (1328877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.58 % (1328877)CaDiCaL version: 2.1.3
% 4.58/1.58 % (1328877)Termination reason: Refutation not found, incomplete strategy
% 4.58/1.58 % (1328877)Time elapsed: 0.012 s
% 4.58/1.58 % (1328877)Peak memory usage: 88 MB
% 4.58/1.58 % (1328877)Instructions burned: 21 (million)
% 4.58/1.58 % (1328865)------------------------------
% 4.58/1.58 % (1328865)------------------------------
% 4.58/1.58 % (1328878)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=891141830:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.58/1.58 % (1328878)Refutation not found, incomplete strategy
% 4.58/1.58 % (1328878)------------------------------
% 4.58/1.58 % (1328878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.58 % (1328878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.58 % (1328878)CaDiCaL version: 2.1.3
% 4.58/1.58 % (1328878)Termination reason: Refutation not found, incomplete strategy
% 4.58/1.58 % (1328878)Time elapsed: 0.003 s
% 4.58/1.58 % (1328878)Peak memory usage: 88 MB
% 4.58/1.58 % (1328878)Instructions burned: 3 (million)
% 4.58/1.58 % (1328881)lrs+10_64_to=lpo:sil=8000:random_seed=3355986811:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 4.58/1.58 % (1328862)First to succeed.
% 4.58/1.58 % (1328862)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1328857"
% 4.58/1.58 % (1328876)------------------------------
% 4.58/1.58 % (1328876)------------------------------
% 4.58/1.58 % (1328877)------------------------------
% 4.58/1.58 % (1328877)------------------------------
% 4.58/1.58 % (1328881)Instruction limit reached!
% 4.58/1.58 % (1328881)------------------------------
% 4.58/1.58 % (1328881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.58 % (1328881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.58 % (1328881)CaDiCaL version: 2.1.3
% 4.58/1.58 % (1328881)Termination reason: Instruction limit
% 4.58/1.58 % (1328881)Termination phase: Saturation
% 4.58/1.58 % (1328881)Time elapsed: 0.081 s
% 4.58/1.58 % (1328881)Peak memory usage: 89 MB
% 4.58/1.58 % (1328881)Instructions burned: 127 (million)
% 4.58/1.58 % (1328878)------------------------------
% 4.58/1.58 % (1328878)------------------------------
% 4.58/1.58 % (1328862)Refutation found. Thanks to Tanya!
% 4.58/1.58 % SZS status Unsatisfiable for theBenchmark
% 4.58/1.58 % SZS output start Proof for theBenchmark
% See solution above
% 5.72/1.77 % (1328862)------------------------------
% 5.72/1.77 % (1328862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.72/1.77 % (1328862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.77 % (1328862)CaDiCaL version: 2.1.3
% 5.72/1.77 % (1328862)Termination reason: Refutation
% 5.72/1.77 % (1328862)Time elapsed: 0.465 s
% 5.72/1.77 % (1328862)Peak memory usage: 130 MB
% 5.72/1.77 % (1328862)Instructions burned: 1060 (million)
% 5.72/1.77 % (1328862)------------------------------
% 5.72/1.77 % (1328862)------------------------------
% 5.72/1.77 % (1328857)Success in time 0.736 s
% 5.72/1.77 % Vampire exiting
%------------------------------------------------------------------------------