%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET140-6 : 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 : n004.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 11.26s 2.44s
% Output : Refutation 11.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 54
% Syntax : Number of formulae : 338 ( 50 unt; 35 def)
% Number of atoms : 919 ( 125 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 1025 ( 444 ~; 560 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 11 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 22 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 18 con; 0-2 aty)
% Number of variables : 176 ( 0 sgn 176 !; 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(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair2) ).
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(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(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(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(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(x,null_class))) != unordered_pair(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_triple_reduction2_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,
unordered_pair(x,y) != complement(intersection(complement(unordered_pair(x,x)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))))))))),
inference(definition_unfolding,[],[f102,f108,f108,f108]) ).
fof(f156,definition,
sF0 = unordered_pair(x,y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f157,plain,
unordered_pair(x,y) = sF0,
inference(reorient_equations,[],[f156]) ).
fof(f158,definition,
sF1 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f159,plain,
unordered_pair(x,x) = sF1,
inference(reorient_equations,[],[f158]) ).
fof(f160,definition,
sF2 = complement(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f161,plain,
complement(sF1) = sF2,
inference(reorient_equations,[],[f160]) ).
fof(f162,definition,
sF3 = unordered_pair(y,y),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f163,plain,
unordered_pair(y,y) = sF3,
inference(reorient_equations,[],[f162]) ).
fof(f164,definition,
sF4 = complement(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f165,plain,
complement(sF3) = sF4,
inference(reorient_equations,[],[f164]) ).
fof(f166,definition,
sF5 = complement(null_class),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f167,plain,
complement(null_class) = sF5,
inference(reorient_equations,[],[f166]) ).
fof(f168,definition,
sF6 = intersection(sF2,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f169,plain,
intersection(sF2,sF5) = sF6,
inference(reorient_equations,[],[f168]) ).
fof(f170,definition,
sF7 = complement(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f171,plain,
complement(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 = intersection(sF4,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f175,plain,
intersection(sF4,sF8) = sF9,
inference(reorient_equations,[],[f174]) ).
fof(f176,definition,
sF10 = complement(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f177,plain,
complement(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 = intersection(sF2,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f181,plain,
intersection(sF2,sF11) = sF12,
inference(reorient_equations,[],[f180]) ).
fof(f182,definition,
sF13 = complement(sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f183,plain,
complement(sF12) = sF13,
inference(reorient_equations,[],[f182]) ).
fof(f184,plain,
sF0 != sF13,
inference(definition_folding,[],[f152,f183,f181,f179,f177,f175,f173,f171,f169,f167,f161,f159,f165,f163,f161,f159,f157]) ).
fof(f185,plain,
! [X0] :
( member(X0,sF2)
| ~ member(X0,sF12) ),
inference(superposition,[],[f21,f181]) ).
fof(f186,plain,
! [X0] :
( member(X0,sF2)
| ~ member(X0,sF6) ),
inference(superposition,[],[f21,f169]) ).
fof(f187,plain,
! [X0] :
( member(X0,sF4)
| ~ member(X0,sF9) ),
inference(superposition,[],[f21,f175]) ).
fof(f188,plain,
! [X0] :
( ~ member(X0,sF13)
| ~ member(X0,sF12) ),
inference(superposition,[],[f24,f183]) ).
fof(f189,plain,
! [X0] :
( member(X0,sF11)
| ~ member(X0,sF12) ),
inference(superposition,[],[f22,f181]) ).
fof(f190,plain,
! [X0] :
( member(X0,sF5)
| ~ member(X0,sF6) ),
inference(superposition,[],[f22,f169]) ).
fof(f193,plain,
! [X0] :
( member(X0,sF13)
| ~ member(X0,universal_class)
| member(X0,sF12) ),
inference(superposition,[],[f25,f183]) ).
fof(f194,plain,
! [X0] :
( ~ member(X0,sF0)
| x = X0
| y = X0 ),
inference(superposition,[],[f8,f157]) ).
fof(f195,plain,
! [X0] :
( ~ member(X0,sF3)
| y = X0
| y = X0 ),
inference(superposition,[],[f8,f163]) ).
fof(f196,plain,
! [X0] :
( ~ member(X0,sF1)
| x = X0
| x = X0 ),
inference(superposition,[],[f8,f159]) ).
fof(f197,plain,
! [X0] :
( ~ member(X0,sF1)
| x = X0 ),
inference(duplicate_literal_removal,[],[f196]) ).
fof(f198,plain,
! [X0] :
( ~ member(X0,sF3)
| y = X0 ),
inference(duplicate_literal_removal,[],[f195]) ).
fof(f199,plain,
! [X0] :
( member(X0,sF2)
| ~ member(X0,universal_class)
| member(X0,sF1) ),
inference(superposition,[],[f25,f161]) ).
fof(f200,plain,
! [X0] :
( ~ member(X0,sF2)
| ~ member(X0,sF1) ),
inference(superposition,[],[f24,f161]) ).
fof(f201,plain,
! [X0] :
( member(X0,sF8)
| ~ member(X0,universal_class)
| member(X0,sF7) ),
inference(superposition,[],[f25,f173]) ).
fof(f203,plain,
! [X0] :
( member(X0,sF11)
| ~ member(X0,universal_class)
| member(X0,sF10) ),
inference(superposition,[],[f25,f179]) ).
fof(f204,plain,
! [X0] :
( ~ member(X0,sF11)
| ~ member(X0,sF10) ),
inference(superposition,[],[f24,f179]) ).
fof(f205,plain,
! [X0] :
( member(X0,sF10)
| ~ member(X0,universal_class)
| member(X0,sF9) ),
inference(superposition,[],[f25,f177]) ).
fof(f206,plain,
! [X0] :
( ~ member(X0,sF10)
| ~ member(X0,sF9) ),
inference(superposition,[],[f24,f177]) ).
fof(f208,plain,
! [X0] :
( ~ member(X0,sF7)
| ~ member(X0,sF6) ),
inference(superposition,[],[f24,f171]) ).
fof(f209,plain,
! [X0] :
( member(X0,sF4)
| ~ member(X0,universal_class)
| member(X0,sF3) ),
inference(superposition,[],[f25,f165]) ).
fof(f210,plain,
! [X0] :
( ~ member(X0,sF4)
| ~ member(X0,sF3) ),
inference(superposition,[],[f24,f165]) ).
fof(f212,plain,
( member(x,sF0)
| ~ member(x,universal_class) ),
inference(superposition,[],[f9,f157]) ).
fof(f213,plain,
( member(y,sF3)
| ~ member(y,universal_class) ),
inference(superposition,[],[f9,f163]) ).
fof(f214,plain,
( member(x,sF1)
| ~ member(x,universal_class) ),
inference(superposition,[],[f9,f159]) ).
fof(f216,definition,
( spl14_1
<=> member(x,universal_class) ),
introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).
fof(f217,plain,
( member(x,universal_class)
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f218,plain,
( ~ member(x,universal_class)
| spl14_1 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f220,definition,
( spl14_2
<=> member(x,sF1) ),
introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).
fof(f222,plain,
( member(x,sF1)
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f223,plain,
( ~ spl14_1
| spl14_2 ),
inference(avatar_split_clause,[],[f214,f220,f216]) ).
fof(f225,definition,
( spl14_3
<=> member(y,universal_class) ),
introduced(definition,[new_symbols(definition,[spl14_3])],[avatar_definition]) ).
fof(f226,plain,
( member(y,universal_class)
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f227,plain,
( ~ member(y,universal_class)
| spl14_3 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f229,definition,
( spl14_4
<=> member(y,sF3) ),
introduced(definition,[new_symbols(definition,[spl14_4])],[avatar_definition]) ).
fof(f231,plain,
( member(y,sF3)
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f232,plain,
( ~ spl14_3
| spl14_4 ),
inference(avatar_split_clause,[],[f213,f229,f225]) ).
fof(f234,definition,
( spl14_5
<=> member(x,sF0) ),
introduced(definition,[new_symbols(definition,[spl14_5])],[avatar_definition]) ).
fof(f236,plain,
( member(x,sF0)
| ~ spl14_5 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f237,plain,
( ~ spl14_1
| spl14_5 ),
inference(avatar_split_clause,[],[f212,f234,f216]) ).
fof(f238,plain,
! [X0] :
( member(X0,sF5)
| ~ member(X0,universal_class)
| member(X0,null_class) ),
inference(superposition,[],[f25,f167]) ).
fof(f239,plain,
! [X0] :
( ~ member(X0,sF5)
| ~ member(X0,null_class) ),
inference(superposition,[],[f24,f167]) ).
fof(f242,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f21]) ).
fof(f244,plain,
! [X0] :
( ~ member(not_subclass_element(sF13,X0),sF12)
| subclass(sF13,X0) ),
inference(resolution,[],[f2,f188]) ).
fof(f247,plain,
( member(y,sF0)
| ~ member(y,universal_class) ),
inference(superposition,[],[f10,f157]) ).
fof(f256,plain,
! [X0] :
( ~ member(X0,sF12)
| ~ member(X0,sF10) ),
inference(resolution,[],[f189,f204]) ).
fof(f260,plain,
! [X0] :
( ~ member(X0,sF12)
| ~ member(X0,sF1) ),
inference(resolution,[],[f185,f200]) ).
fof(f264,plain,
! [X0] :
( ~ member(X0,sF9)
| ~ member(X0,sF3) ),
inference(resolution,[],[f187,f210]) ).
fof(f275,plain,
! [X0] :
( member(not_subclass_element(X0,sF13),sF12)
| ~ member(not_subclass_element(X0,sF13),universal_class)
| subclass(X0,sF13) ),
inference(resolution,[],[f3,f193]) ).
fof(f278,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF13),sF1)
| subclass(X0,sF13)
| ~ member(not_subclass_element(X0,sF13),universal_class) ),
inference(resolution,[],[f275,f260]) ).
fof(f279,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF13),sF10)
| subclass(X0,sF13)
| ~ member(not_subclass_element(X0,sF13),universal_class) ),
inference(resolution,[],[f275,f256]) ).
fof(f306,plain,
! [X0] :
( member(X0,sF12)
| ~ member(X0,sF11)
| ~ member(X0,sF2) ),
inference(superposition,[],[f23,f181]) ).
fof(f307,plain,
! [X0] :
( member(X0,sF6)
| ~ member(X0,sF5)
| ~ member(X0,sF2) ),
inference(superposition,[],[f23,f169]) ).
fof(f308,plain,
! [X0] :
( member(X0,sF9)
| ~ member(X0,sF8)
| ~ member(X0,sF4) ),
inference(superposition,[],[f23,f175]) ).
fof(f311,plain,
! [X0] :
( ~ member(not_subclass_element(sF13,X0),sF11)
| ~ member(not_subclass_element(sF13,X0),sF2)
| subclass(sF13,X0) ),
inference(resolution,[],[f306,f244]) ).
fof(f321,plain,
! [X0,X1] :
( member(X0,X1)
| ~ member(X0,null_class)
| null_class = X1 ),
inference(superposition,[],[f21,f70]) ).
fof(f322,plain,
! [X0] :
( ~ member(X0,sF6)
| ~ member(X0,null_class) ),
inference(resolution,[],[f239,f190]) ).
fof(f329,plain,
! [X0] :
( member(not_subclass_element(sF13,X0),sF10)
| ~ member(not_subclass_element(sF13,X0),universal_class)
| ~ member(not_subclass_element(sF13,X0),sF2)
| subclass(sF13,X0) ),
inference(resolution,[],[f203,f311]) ).
fof(f333,plain,
! [X0] :
( ~ member(not_subclass_element(sF13,X0),sF9)
| ~ member(not_subclass_element(sF13,X0),sF2)
| subclass(sF13,X0)
| ~ member(not_subclass_element(sF13,X0),universal_class) ),
inference(resolution,[],[f329,f206]) ).
fof(f349,plain,
! [X0] :
( ~ member(not_subclass_element(sF13,X0),sF8)
| subclass(sF13,X0)
| ~ member(not_subclass_element(sF13,X0),universal_class)
| ~ member(not_subclass_element(sF13,X0),sF2)
| ~ member(not_subclass_element(sF13,X0),sF4) ),
inference(resolution,[],[f333,f308]) ).
fof(f350,plain,
! [X0] :
( subclass(sF13,X0)
| ~ member(not_subclass_element(sF13,X0),universal_class)
| ~ member(not_subclass_element(sF13,X0),sF2)
| ~ member(not_subclass_element(sF13,X0),sF4)
| ~ member(not_subclass_element(sF13,X0),universal_class)
| member(not_subclass_element(sF13,X0),sF7) ),
inference(resolution,[],[f349,f201]) ).
fof(f352,plain,
! [X0] :
( member(not_subclass_element(sF13,X0),sF7)
| ~ member(not_subclass_element(sF13,X0),universal_class)
| ~ member(not_subclass_element(sF13,X0),sF2)
| ~ member(not_subclass_element(sF13,X0),sF4)
| subclass(sF13,X0) ),
inference(duplicate_literal_removal,[],[f350]) ).
fof(f354,plain,
! [X0] :
( ~ member(not_subclass_element(sF13,X0),universal_class)
| ~ member(not_subclass_element(sF13,X0),sF2)
| ~ member(not_subclass_element(sF13,X0),sF4)
| subclass(sF13,X0)
| ~ member(not_subclass_element(sF13,X0),sF6) ),
inference(resolution,[],[f352,f208]) ).
fof(f356,plain,
! [X0] :
( ~ member(not_subclass_element(sF13,X0),sF6)
| ~ member(not_subclass_element(sF13,X0),sF4)
| subclass(sF13,X0)
| ~ member(not_subclass_element(sF13,X0),universal_class) ),
inference(forward_subsumption_resolution,[],[f354,f186]) ).
fof(f374,plain,
! [X0] :
( ~ member(not_subclass_element(sF13,X0),sF5)
| subclass(sF13,X0)
| ~ member(not_subclass_element(sF13,X0),universal_class)
| ~ member(not_subclass_element(sF13,X0),sF4)
| ~ member(not_subclass_element(sF13,X0),sF2) ),
inference(resolution,[],[f356,f307]) ).
fof(f379,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF13),universal_class)
| member(not_subclass_element(X0,sF13),sF9)
| subclass(X0,sF13)
| ~ member(not_subclass_element(X0,sF13),universal_class) ),
inference(resolution,[],[f205,f279]) ).
fof(f381,plain,
! [X0] :
( member(not_subclass_element(X0,sF13),sF9)
| ~ member(not_subclass_element(X0,sF13),universal_class)
| subclass(X0,sF13) ),
inference(duplicate_literal_removal,[],[f379]) ).
fof(f383,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF13),sF3)
| subclass(X0,sF13)
| ~ member(not_subclass_element(X0,sF13),universal_class) ),
inference(resolution,[],[f381,f264]) ).
fof(f450,plain,
! [X0] :
( y = not_subclass_element(sF0,X0)
| x = not_subclass_element(sF0,X0)
| subclass(sF0,X0) ),
inference(resolution,[],[f194,f2]) ).
fof(f451,plain,
! [X0] :
( ~ member(y,X0)
| subclass(sF0,X0)
| x = not_subclass_element(sF0,X0)
| subclass(sF0,X0) ),
inference(superposition,[],[f3,f450]) ).
fof(f452,plain,
! [X0] :
( member(y,sF0)
| subclass(sF0,X0)
| x = not_subclass_element(sF0,X0)
| subclass(sF0,X0) ),
inference(superposition,[],[f2,f450]) ).
fof(f457,plain,
( ~ member(y,sF3)
| subclass(sF0,sF13)
| ~ member(y,universal_class)
| x = not_subclass_element(sF0,sF13)
| subclass(sF0,sF13) ),
inference(superposition,[],[f383,f450]) ).
fof(f463,plain,
( ~ member(y,sF3)
| subclass(sF0,sF13)
| ~ member(y,universal_class)
| x = not_subclass_element(sF0,sF13) ),
inference(duplicate_literal_removal,[],[f457]) ).
fof(f468,plain,
! [X0] :
( member(y,sF0)
| subclass(sF0,X0)
| x = not_subclass_element(sF0,X0) ),
inference(duplicate_literal_removal,[],[f452]) ).
fof(f469,plain,
! [X0] :
( x = not_subclass_element(sF0,X0)
| subclass(sF0,X0)
| ~ member(y,X0) ),
inference(duplicate_literal_removal,[],[f451]) ).
fof(f471,definition,
( spl14_21
<=> ! [X0] :
( x = not_subclass_element(sF0,X0)
| subclass(sF0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl14_21])],[avatar_definition]) ).
fof(f472,plain,
( ! [X0] :
( x = not_subclass_element(sF0,X0)
| subclass(sF0,X0) )
| ~ spl14_21 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f479,definition,
( spl14_23
<=> member(y,sF0) ),
introduced(definition,[new_symbols(definition,[spl14_23])],[avatar_definition]) ).
fof(f480,plain,
( ~ member(y,sF0)
| spl14_23 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f481,plain,
( member(y,sF0)
| ~ spl14_23 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f482,plain,
( spl14_21
| spl14_23 ),
inference(avatar_split_clause,[],[f468,f479,f471]) ).
fof(f485,plain,
! [X0] :
( member(x,sF0)
| subclass(sF0,X0)
| subclass(sF0,X0)
| ~ member(y,X0) ),
inference(superposition,[],[f2,f469]) ).
fof(f500,plain,
! [X0] :
( member(x,sF0)
| subclass(sF0,X0)
| ~ member(y,X0) ),
inference(duplicate_literal_removal,[],[f485]) ).
fof(f504,definition,
( spl14_24
<=> ! [X0] :
( subclass(sF0,X0)
| ~ member(y,X0) ) ),
introduced(definition,[new_symbols(definition,[spl14_24])],[avatar_definition]) ).
fof(f505,plain,
( ! [X0] :
( ~ member(y,X0)
| subclass(sF0,X0) )
| ~ spl14_24 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f506,plain,
( spl14_24
| spl14_5 ),
inference(avatar_split_clause,[],[f500,f234,f504]) ).
fof(f509,plain,
! [X0] :
( ~ member(not_subclass_element(sF13,X0),universal_class)
| member(not_subclass_element(sF13,X0),null_class)
| subclass(sF13,X0)
| ~ member(not_subclass_element(sF13,X0),universal_class)
| ~ member(not_subclass_element(sF13,X0),sF4)
| ~ member(not_subclass_element(sF13,X0),sF2) ),
inference(resolution,[],[f238,f374]) ).
fof(f511,plain,
! [X0] :
( member(not_subclass_element(sF13,X0),null_class)
| ~ member(not_subclass_element(sF13,X0),universal_class)
| subclass(sF13,X0)
| ~ member(not_subclass_element(sF13,X0),sF4)
| ~ member(not_subclass_element(sF13,X0),sF2) ),
inference(duplicate_literal_removal,[],[f509]) ).
fof(f532,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X1)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f68,f22]) ).
fof(f533,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X0)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f68,f21]) ).
fof(f535,plain,
( null_class = sF0
| x = regular(sF0)
| y = regular(sF0) ),
inference(resolution,[],[f68,f194]) ).
fof(f555,definition,
( spl14_30
<=> null_class = sF13 ),
introduced(definition,[new_symbols(definition,[spl14_30])],[avatar_definition]) ).
fof(f556,plain,
( null_class != sF13
| spl14_30 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f557,plain,
( null_class = sF13
| ~ spl14_30 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f628,definition,
( spl14_46
<=> null_class = sF6 ),
introduced(definition,[new_symbols(definition,[spl14_46])],[avatar_definition]) ).
fof(f630,plain,
( null_class = sF6
| ~ spl14_46 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f665,definition,
( spl14_54
<=> y = regular(sF0) ),
introduced(definition,[new_symbols(definition,[spl14_54])],[avatar_definition]) ).
fof(f667,plain,
( y = regular(sF0)
| ~ spl14_54 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f669,definition,
( spl14_55
<=> x = regular(sF0) ),
introduced(definition,[new_symbols(definition,[spl14_55])],[avatar_definition]) ).
fof(f671,plain,
( x = regular(sF0)
| ~ spl14_55 ),
inference(avatar_component_clause,[],[f669]) ).
fof(f673,definition,
( spl14_56
<=> null_class = sF0 ),
introduced(definition,[new_symbols(definition,[spl14_56])],[avatar_definition]) ).
fof(f674,plain,
( null_class != sF0
| spl14_56 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f675,plain,
( null_class = sF0
| ~ spl14_56 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f676,plain,
( spl14_54
| spl14_55
| spl14_56 ),
inference(avatar_split_clause,[],[f535,f673,f669,f665]) ).
fof(f825,plain,
! [X0] :
( ~ member(X0,null_class)
| null_class = sF6
| ~ member(X0,null_class) ),
inference(resolution,[],[f321,f322]) ).
fof(f840,plain,
! [X0] :
( ~ member(X0,null_class)
| null_class = sF6 ),
inference(duplicate_literal_removal,[],[f825]) ).
fof(f860,definition,
( spl14_65
<=> ! [X0] : ~ member(X0,null_class) ),
introduced(definition,[new_symbols(definition,[spl14_65])],[avatar_definition]) ).
fof(f861,plain,
( ! [X0] : ~ member(X0,null_class)
| ~ spl14_65 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f862,plain,
( spl14_46
| spl14_65 ),
inference(avatar_split_clause,[],[f840,f860,f628]) ).
fof(f932,plain,
( ! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,null_class) )
| ~ spl14_46 ),
inference(backward_demodulation,[],[f322,f630]) ).
fof(f947,plain,
( ! [X0] : ~ member(X0,null_class)
| ~ spl14_46 ),
inference(duplicate_literal_removal,[],[f932]) ).
fof(f1012,plain,
( spl14_65
| ~ spl14_46 ),
inference(avatar_split_clause,[],[f947,f628,f860]) ).
fof(f1180,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f242,f3]) ).
fof(f1188,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f1180]) ).
fof(f1190,plain,
( ! [X0] :
( ~ member(x,X0)
| ~ subclass(X0,universal_class) )
| spl14_1 ),
inference(resolution,[],[f218,f1]) ).
fof(f1191,plain,
( ! [X0] : ~ member(x,X0)
| spl14_1 ),
inference(forward_subsumption_resolution,[],[f1190,f4]) ).
fof(f1192,plain,
( $false
| spl14_1
| ~ spl14_5 ),
inference(resolution,[],[f1191,f236]) ).
fof(f1200,plain,
( spl14_1
| ~ spl14_5 ),
inference(avatar_contradiction_clause,[],[f1192]) ).
fof(f1280,plain,
! [X0,X1] :
( ~ member(regular(intersection(complement(X0),X1)),X0)
| null_class = intersection(complement(X0),X1) ),
inference(resolution,[],[f533,f24]) ).
fof(f1370,plain,
( ! [X0] :
( ~ member(not_subclass_element(sF13,X0),sF4)
| subclass(sF13,X0)
| ~ member(not_subclass_element(sF13,X0),universal_class)
| ~ member(not_subclass_element(sF13,X0),sF2) )
| ~ spl14_65 ),
inference(forward_subsumption_resolution,[],[f511,f861]) ).
fof(f2488,plain,
( ~ spl14_3
| spl14_23 ),
inference(avatar_split_clause,[],[f247,f479,f225]) ).
fof(f3185,plain,
( ! [X0] :
( ~ member(y,X0)
| ~ subclass(X0,universal_class) )
| spl14_3 ),
inference(resolution,[],[f227,f1]) ).
fof(f3186,plain,
( ! [X0] : ~ member(y,X0)
| spl14_3 ),
inference(forward_subsumption_resolution,[],[f3185,f4]) ).
fof(f3234,plain,
! [X0] :
( null_class = intersection(complement(X0),X0)
| null_class = intersection(complement(X0),X0) ),
inference(resolution,[],[f532,f1280]) ).
fof(f3254,plain,
! [X0] : null_class = intersection(complement(X0),X0),
inference(duplicate_literal_removal,[],[f3234]) ).
fof(f3318,plain,
( ! [X0] :
( subclass(sF13,X0)
| ~ member(not_subclass_element(sF13,X0),universal_class)
| ~ member(not_subclass_element(sF13,X0),sF2)
| ~ member(not_subclass_element(sF13,X0),universal_class)
| member(not_subclass_element(sF13,X0),sF3) )
| ~ spl14_65 ),
inference(resolution,[],[f1370,f209]) ).
fof(f3322,plain,
( ! [X0] :
( member(not_subclass_element(sF13,X0),sF3)
| ~ member(not_subclass_element(sF13,X0),universal_class)
| ~ member(not_subclass_element(sF13,X0),sF2)
| subclass(sF13,X0) )
| ~ spl14_65 ),
inference(duplicate_literal_removal,[],[f3318]) ).
fof(f3353,plain,
null_class = intersection(sF13,sF12),
inference(superposition,[],[f3254,f183]) ).
fof(f3382,plain,
( ! [X0] :
( ~ member(not_subclass_element(sF13,X0),sF2)
| ~ member(not_subclass_element(sF13,X0),universal_class)
| subclass(sF13,X0)
| y = not_subclass_element(sF13,X0) )
| ~ spl14_65 ),
inference(resolution,[],[f3322,f198]) ).
fof(f3506,plain,
( ! [X0] :
( ~ member(not_subclass_element(sF13,X0),universal_class)
| subclass(sF13,X0)
| y = not_subclass_element(sF13,X0)
| ~ member(not_subclass_element(sF13,X0),universal_class)
| member(not_subclass_element(sF13,X0),sF1) )
| ~ spl14_65 ),
inference(resolution,[],[f3382,f199]) ).
fof(f3510,plain,
( ! [X0] :
( member(not_subclass_element(sF13,X0),sF1)
| subclass(sF13,X0)
| y = not_subclass_element(sF13,X0)
| ~ member(not_subclass_element(sF13,X0),universal_class) )
| ~ spl14_65 ),
inference(duplicate_literal_removal,[],[f3506]) ).
fof(f3513,plain,
( ! [X0] :
( ~ member(not_subclass_element(sF13,X0),universal_class)
| y = not_subclass_element(sF13,X0)
| subclass(sF13,X0)
| x = not_subclass_element(sF13,X0) )
| ~ spl14_65 ),
inference(resolution,[],[f3510,f197]) ).
fof(f3536,plain,
( ! [X0,X1] :
( y = not_subclass_element(sF13,X0)
| subclass(sF13,X0)
| x = not_subclass_element(sF13,X0)
| ~ member(not_subclass_element(sF13,X0),X1)
| ~ subclass(X1,universal_class) )
| ~ spl14_65 ),
inference(resolution,[],[f3513,f1]) ).
fof(f3537,plain,
( ! [X0,X1] :
( ~ member(not_subclass_element(sF13,X0),X1)
| subclass(sF13,X0)
| x = not_subclass_element(sF13,X0)
| y = not_subclass_element(sF13,X0) )
| ~ spl14_65 ),
inference(forward_subsumption_resolution,[],[f3536,f4]) ).
fof(f3541,plain,
( ! [X0] :
( subclass(sF13,X0)
| x = not_subclass_element(sF13,X0)
| y = not_subclass_element(sF13,X0)
| subclass(sF13,X0) )
| ~ spl14_65 ),
inference(resolution,[],[f3537,f2]) ).
fof(f3571,plain,
( ! [X0] :
( y = not_subclass_element(sF13,X0)
| x = not_subclass_element(sF13,X0)
| subclass(sF13,X0) )
| ~ spl14_65 ),
inference(duplicate_literal_removal,[],[f3541]) ).
fof(f3577,plain,
( ! [X0] :
( ~ member(y,sF12)
| subclass(sF13,X0)
| x = not_subclass_element(sF13,X0)
| subclass(sF13,X0) )
| ~ spl14_65 ),
inference(superposition,[],[f244,f3571]) ).
fof(f3585,plain,
( ! [X0] :
( ~ member(y,X0)
| subclass(sF13,X0)
| x = not_subclass_element(sF13,X0)
| subclass(sF13,X0) )
| ~ spl14_65 ),
inference(superposition,[],[f3,f3571]) ).
fof(f3586,plain,
( ! [X0] :
( member(y,sF13)
| subclass(sF13,X0)
| x = not_subclass_element(sF13,X0)
| subclass(sF13,X0) )
| ~ spl14_65 ),
inference(superposition,[],[f2,f3571]) ).
fof(f3602,plain,
( ! [X0] :
( member(y,sF13)
| subclass(sF13,X0)
| x = not_subclass_element(sF13,X0) )
| ~ spl14_65 ),
inference(duplicate_literal_removal,[],[f3586]) ).
fof(f3603,plain,
( ! [X0] :
( x = not_subclass_element(sF13,X0)
| subclass(sF13,X0)
| ~ member(y,X0) )
| ~ spl14_65 ),
inference(duplicate_literal_removal,[],[f3585]) ).
fof(f3611,plain,
( ! [X0] :
( ~ member(y,sF12)
| subclass(sF13,X0)
| x = not_subclass_element(sF13,X0) )
| ~ spl14_65 ),
inference(duplicate_literal_removal,[],[f3577]) ).
fof(f3612,plain,
( ! [X0] :
( x = not_subclass_element(sF13,X0)
| subclass(sF13,X0) )
| spl14_3
| ~ spl14_65 ),
inference(forward_subsumption_resolution,[],[f3602,f3186]) ).
fof(f3626,plain,
( ! [X0] :
( member(x,sF13)
| subclass(sF13,X0)
| subclass(sF13,X0) )
| spl14_3
| ~ spl14_65 ),
inference(superposition,[],[f2,f3612]) ).
fof(f3641,plain,
( ! [X0] :
( member(x,sF13)
| subclass(sF13,X0) )
| spl14_3
| ~ spl14_65 ),
inference(duplicate_literal_removal,[],[f3626]) ).
fof(f3656,definition,
( spl14_113
<=> ! [X0] : subclass(sF13,X0) ),
introduced(definition,[new_symbols(definition,[spl14_113])],[avatar_definition]) ).
fof(f3657,plain,
( ! [X0] : subclass(sF13,X0)
| ~ spl14_113 ),
inference(avatar_component_clause,[],[f3656]) ).
fof(f3659,definition,
( spl14_114
<=> member(x,sF13) ),
introduced(definition,[new_symbols(definition,[spl14_114])],[avatar_definition]) ).
fof(f3660,plain,
( ~ member(x,sF13)
| spl14_114 ),
inference(avatar_component_clause,[],[f3659]) ).
fof(f3661,plain,
( member(x,sF13)
| ~ spl14_114 ),
inference(avatar_component_clause,[],[f3659]) ).
fof(f3662,plain,
( spl14_113
| spl14_114
| spl14_3
| ~ spl14_65 ),
inference(avatar_split_clause,[],[f3641,f860,f225,f3659,f3656]) ).
fof(f3716,definition,
( spl14_123
<=> member(y,sF13) ),
introduced(definition,[new_symbols(definition,[spl14_123])],[avatar_definition]) ).
fof(f3717,plain,
( member(y,sF13)
| ~ spl14_123 ),
inference(avatar_component_clause,[],[f3716]) ).
fof(f3720,definition,
( spl14_124
<=> subclass(sF0,sF13) ),
introduced(definition,[new_symbols(definition,[spl14_124])],[avatar_definition]) ).
fof(f3721,plain,
( ~ subclass(sF0,sF13)
| spl14_124 ),
inference(avatar_component_clause,[],[f3720]) ).
fof(f3722,plain,
( subclass(sF0,sF13)
| ~ spl14_124 ),
inference(avatar_component_clause,[],[f3720]) ).
fof(f3752,definition,
( spl14_129
<=> member(y,sF12) ),
introduced(definition,[new_symbols(definition,[spl14_129])],[avatar_definition]) ).
fof(f3754,plain,
( ~ member(y,sF12)
| spl14_129 ),
inference(avatar_component_clause,[],[f3752]) ).
fof(f3761,definition,
( spl14_130
<=> ! [X0] :
( subclass(sF13,X0)
| x = not_subclass_element(sF13,X0) ) ),
introduced(definition,[new_symbols(definition,[spl14_130])],[avatar_definition]) ).
fof(f3762,plain,
( ! [X0] :
( x = not_subclass_element(sF13,X0)
| subclass(sF13,X0) )
| ~ spl14_130 ),
inference(avatar_component_clause,[],[f3761]) ).
fof(f3763,plain,
( spl14_130
| spl14_123
| ~ spl14_65 ),
inference(avatar_split_clause,[],[f3602,f860,f3716,f3761]) ).
fof(f3767,plain,
( spl14_130
| ~ spl14_129
| ~ spl14_65 ),
inference(avatar_split_clause,[],[f3611,f860,f3752,f3761]) ).
fof(f3811,plain,
( ! [X0] :
( ~ member(x,X0)
| subclass(sF13,X0)
| subclass(sF13,X0) )
| ~ spl14_130 ),
inference(superposition,[],[f3,f3762]) ).
fof(f3812,plain,
( ! [X0] :
( member(x,sF13)
| subclass(sF13,X0)
| subclass(sF13,X0) )
| ~ spl14_130 ),
inference(superposition,[],[f2,f3762]) ).
fof(f3827,plain,
( ! [X0] :
( member(x,sF13)
| subclass(sF13,X0) )
| ~ spl14_130 ),
inference(duplicate_literal_removal,[],[f3812]) ).
fof(f3828,plain,
( ! [X0] :
( ~ member(x,X0)
| subclass(sF13,X0) )
| ~ spl14_130 ),
inference(duplicate_literal_removal,[],[f3811]) ).
fof(f3841,plain,
( ! [X0] : subclass(sF13,X0)
| spl14_114
| ~ spl14_130 ),
inference(forward_subsumption_resolution,[],[f3827,f3660]) ).
fof(f3845,plain,
( spl14_113
| spl14_114
| ~ spl14_130 ),
inference(avatar_split_clause,[],[f3841,f3761,f3659,f3656]) ).
fof(f3849,plain,
( ! [X0] :
( ~ subclass(X0,sF13)
| sF13 = X0 )
| ~ spl14_113 ),
inference(resolution,[],[f3657,f7]) ).
fof(f3850,plain,
( subclass(sF13,sF0)
| ~ spl14_5
| ~ spl14_130 ),
inference(resolution,[],[f3828,f236]) ).
fof(f3877,plain,
( ! [X0] : sF13 = intersection(sF13,X0)
| ~ spl14_113 ),
inference(resolution,[],[f3849,f1188]) ).
fof(f3885,plain,
( null_class = sF13
| ~ spl14_113 ),
inference(backward_demodulation,[],[f3353,f3877]) ).
fof(f3887,plain,
( $false
| spl14_30
| ~ spl14_113 ),
inference(forward_subsumption_resolution,[],[f3885,f556]) ).
fof(f3888,plain,
( spl14_30
| ~ spl14_113 ),
inference(avatar_contradiction_clause,[],[f3887]) ).
fof(f4442,plain,
( ~ subclass(sF0,sF13)
| sF0 = sF13
| ~ spl14_5
| ~ spl14_130 ),
inference(resolution,[],[f3850,f7]) ).
fof(f4443,plain,
( ~ subclass(sF0,sF13)
| ~ spl14_5
| ~ spl14_130 ),
inference(forward_subsumption_resolution,[],[f4442,f184]) ).
fof(f4444,plain,
( ~ spl14_124
| ~ spl14_5
| ~ spl14_130 ),
inference(avatar_split_clause,[],[f4443,f3761,f234,f3720]) ).
fof(f5048,plain,
( ~ member(x,sF1)
| subclass(sF0,sF13)
| ~ member(x,universal_class)
| subclass(sF0,sF13)
| ~ spl14_21 ),
inference(superposition,[],[f278,f472]) ).
fof(f5059,plain,
( ~ member(x,sF1)
| subclass(sF0,sF13)
| ~ member(x,universal_class)
| ~ spl14_21 ),
inference(duplicate_literal_removal,[],[f5048]) ).
fof(f5065,plain,
( subclass(sF0,sF13)
| ~ member(x,universal_class)
| ~ spl14_2
| ~ spl14_21 ),
inference(forward_subsumption_resolution,[],[f5059,f222]) ).
fof(f5069,plain,
( ~ member(x,universal_class)
| ~ spl14_2
| ~ spl14_21
| spl14_124 ),
inference(forward_subsumption_resolution,[],[f5065,f3721]) ).
fof(f5075,plain,
( $false
| ~ spl14_1
| ~ spl14_2
| ~ spl14_21
| spl14_124 ),
inference(forward_subsumption_resolution,[],[f5069,f217]) ).
fof(f5076,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_21
| spl14_124 ),
inference(avatar_contradiction_clause,[],[f5075]) ).
fof(f5079,plain,
( ~ subclass(sF13,sF0)
| sF0 = sF13
| ~ spl14_124 ),
inference(resolution,[],[f3722,f7]) ).
fof(f5080,plain,
( ~ subclass(sF13,sF0)
| ~ spl14_124 ),
inference(forward_subsumption_resolution,[],[f5079,f184]) ).
fof(f5141,plain,
( ! [X0] :
( ~ member(x,X0)
| subclass(sF13,X0)
| subclass(sF13,X0)
| ~ member(y,X0) )
| ~ spl14_65 ),
inference(superposition,[],[f3,f3603]) ).
fof(f5142,plain,
( ! [X0] :
( member(x,sF13)
| subclass(sF13,X0)
| subclass(sF13,X0)
| ~ member(y,X0) )
| ~ spl14_65 ),
inference(superposition,[],[f2,f3603]) ).
fof(f5157,plain,
( ! [X0] :
( member(x,sF13)
| subclass(sF13,X0)
| ~ member(y,X0) )
| ~ spl14_65 ),
inference(duplicate_literal_removal,[],[f5142]) ).
fof(f5158,plain,
( ! [X0] :
( ~ member(y,X0)
| subclass(sF13,X0)
| ~ member(x,X0) )
| ~ spl14_65 ),
inference(duplicate_literal_removal,[],[f5141]) ).
fof(f5263,plain,
( subclass(sF13,sF0)
| ~ member(x,sF0)
| ~ spl14_23
| ~ spl14_65 ),
inference(resolution,[],[f5158,f481]) ).
fof(f5288,plain,
( ~ member(x,sF0)
| ~ spl14_23
| ~ spl14_65
| ~ spl14_124 ),
inference(forward_subsumption_resolution,[],[f5263,f5080]) ).
fof(f5289,plain,
( $false
| ~ spl14_5
| ~ spl14_23
| ~ spl14_65
| ~ spl14_124 ),
inference(forward_subsumption_resolution,[],[f5288,f236]) ).
fof(f5290,plain,
( ~ spl14_5
| ~ spl14_23
| ~ spl14_65
| ~ spl14_124 ),
inference(avatar_contradiction_clause,[],[f5289]) ).
fof(f5295,plain,
( ! [X0] :
( ~ member(y,X0)
| ~ subclass(X0,universal_class) )
| spl14_3 ),
inference(resolution,[],[f227,f1]) ).
fof(f5296,plain,
( ! [X0] : ~ member(y,X0)
| spl14_3 ),
inference(forward_subsumption_resolution,[],[f5295,f4]) ).
fof(f5298,plain,
( $false
| spl14_3
| ~ spl14_123 ),
inference(resolution,[],[f5296,f3717]) ).
fof(f5322,plain,
( spl14_3
| ~ spl14_123 ),
inference(avatar_contradiction_clause,[],[f5298]) ).
fof(f5324,plain,
( $false
| spl14_3
| ~ spl14_23 ),
inference(forward_subsumption_resolution,[],[f481,f5296]) ).
fof(f5325,plain,
( spl14_3
| ~ spl14_23 ),
inference(avatar_contradiction_clause,[],[f5324]) ).
fof(f5778,plain,
( ! [X0] :
( ~ member(x,X0)
| ~ subclass(X0,universal_class) )
| spl14_1 ),
inference(resolution,[],[f218,f1]) ).
fof(f5779,plain,
( ! [X0] : ~ member(x,X0)
| spl14_1 ),
inference(forward_subsumption_resolution,[],[f5778,f4]) ).
fof(f5782,plain,
( $false
| spl14_1
| ~ spl14_114 ),
inference(resolution,[],[f5779,f3661]) ).
fof(f5806,plain,
( spl14_1
| ~ spl14_114 ),
inference(avatar_contradiction_clause,[],[f5782]) ).
fof(f5813,plain,
( ! [X0] :
( ~ member(y,X0)
| subclass(sF13,X0) )
| spl14_1
| ~ spl14_65 ),
inference(forward_subsumption_resolution,[],[f5157,f5779]) ).
fof(f5831,plain,
( null_class != sF0
| ~ spl14_30 ),
inference(backward_demodulation,[],[f184,f557]) ).
fof(f5833,plain,
( ! [X0] :
( member(X0,null_class)
| ~ member(X0,universal_class)
| member(X0,sF12) )
| ~ spl14_30 ),
inference(backward_demodulation,[],[f193,f557]) ).
fof(f5950,plain,
( ! [X0] :
( member(X0,sF12)
| ~ member(X0,universal_class) )
| ~ spl14_30
| ~ spl14_65 ),
inference(forward_subsumption_resolution,[],[f5833,f861]) ).
fof(f6021,plain,
( ! [X0] :
( ~ member(X0,sF10)
| ~ member(X0,universal_class) )
| ~ spl14_30
| ~ spl14_65 ),
inference(resolution,[],[f5950,f256]) ).
fof(f6044,plain,
( ! [X0] :
( ~ member(X0,universal_class)
| ~ member(X0,universal_class)
| member(X0,sF9) )
| ~ spl14_30
| ~ spl14_65 ),
inference(resolution,[],[f6021,f205]) ).
fof(f6053,plain,
( ! [X0] :
( member(X0,sF9)
| ~ member(X0,universal_class) )
| ~ spl14_30
| ~ spl14_65 ),
inference(duplicate_literal_removal,[],[f6044]) ).
fof(f6055,plain,
( ! [X0] :
( ~ member(X0,sF3)
| ~ member(X0,universal_class) )
| ~ spl14_30
| ~ spl14_65 ),
inference(resolution,[],[f6053,f264]) ).
fof(f6090,plain,
( ~ member(y,universal_class)
| ~ spl14_4
| ~ spl14_30
| ~ spl14_65 ),
inference(resolution,[],[f6055,f231]) ).
fof(f6091,plain,
( $false
| ~ spl14_3
| ~ spl14_4
| ~ spl14_30
| ~ spl14_65 ),
inference(forward_subsumption_resolution,[],[f6090,f226]) ).
fof(f6092,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_30
| ~ spl14_65 ),
inference(avatar_contradiction_clause,[],[f6091]) ).
fof(f6916,plain,
( $false
| ~ spl14_30
| ~ spl14_56 ),
inference(forward_subsumption_resolution,[],[f5831,f675]) ).
fof(f6917,plain,
( ~ spl14_30
| ~ spl14_56 ),
inference(avatar_contradiction_clause,[],[f6916]) ).
fof(f7348,plain,
( member(x,sF0)
| null_class = sF0
| ~ spl14_55 ),
inference(superposition,[],[f68,f671]) ).
fof(f7351,plain,
( null_class = sF0
| spl14_1
| ~ spl14_55 ),
inference(forward_subsumption_resolution,[],[f7348,f5779]) ).
fof(f7353,plain,
( $false
| spl14_1
| ~ spl14_55
| spl14_56 ),
inference(forward_subsumption_resolution,[],[f7351,f674]) ).
fof(f7354,plain,
( spl14_1
| ~ spl14_55
| spl14_56 ),
inference(avatar_contradiction_clause,[],[f7353]) ).
fof(f7364,plain,
( member(y,sF0)
| null_class = sF0
| ~ spl14_54 ),
inference(superposition,[],[f68,f667]) ).
fof(f7367,plain,
( null_class = sF0
| spl14_23
| ~ spl14_54 ),
inference(forward_subsumption_resolution,[],[f7364,f480]) ).
fof(f7369,plain,
( $false
| spl14_23
| ~ spl14_54
| spl14_56 ),
inference(forward_subsumption_resolution,[],[f7367,f674]) ).
fof(f7370,plain,
( spl14_23
| ~ spl14_54
| spl14_56 ),
inference(avatar_contradiction_clause,[],[f7369]) ).
fof(f7751,plain,
( subclass(sF0,sF13)
| ~ member(y,universal_class)
| x = not_subclass_element(sF0,sF13)
| ~ spl14_4 ),
inference(forward_subsumption_resolution,[],[f463,f231]) ).
fof(f8173,plain,
( ~ member(y,universal_class)
| x = not_subclass_element(sF0,sF13)
| ~ spl14_4
| spl14_124 ),
inference(forward_subsumption_resolution,[],[f7751,f3721]) ).
fof(f8188,plain,
( x = not_subclass_element(sF0,sF13)
| ~ spl14_3
| ~ spl14_4
| spl14_124 ),
inference(forward_subsumption_resolution,[],[f8173,f226]) ).
fof(f8191,definition,
( spl14_206
<=> x = not_subclass_element(sF0,sF13) ),
introduced(definition,[new_symbols(definition,[spl14_206])],[avatar_definition]) ).
fof(f8193,plain,
( x = not_subclass_element(sF0,sF13)
| ~ spl14_206 ),
inference(avatar_component_clause,[],[f8191]) ).
fof(f8206,plain,
( spl14_206
| ~ spl14_3
| ~ spl14_4
| spl14_124 ),
inference(avatar_split_clause,[],[f8188,f3720,f229,f225,f8191]) ).
fof(f8214,plain,
( ~ subclass(sF13,sF0)
| sF0 = sF13
| ~ spl14_124 ),
inference(resolution,[],[f3722,f7]) ).
fof(f8215,plain,
( ~ subclass(sF13,sF0)
| ~ spl14_124 ),
inference(forward_subsumption_resolution,[],[f8214,f184]) ).
fof(f8275,plain,
( subclass(sF0,sF13)
| ~ member(y,universal_class)
| member(y,sF12)
| ~ spl14_24 ),
inference(resolution,[],[f505,f193]) ).
fof(f8457,plain,
( subclass(sF13,sF0)
| spl14_1
| ~ spl14_23
| ~ spl14_65 ),
inference(resolution,[],[f481,f5813]) ).
fof(f8460,plain,
( $false
| spl14_1
| ~ spl14_23
| ~ spl14_65
| ~ spl14_124 ),
inference(forward_subsumption_resolution,[],[f8457,f8215]) ).
fof(f8461,plain,
( spl14_1
| ~ spl14_23
| ~ spl14_65
| ~ spl14_124 ),
inference(avatar_contradiction_clause,[],[f8460]) ).
fof(f8463,plain,
( ~ member(y,universal_class)
| member(y,sF12)
| ~ spl14_24
| spl14_124 ),
inference(forward_subsumption_resolution,[],[f8275,f3721]) ).
fof(f8469,plain,
( member(y,sF12)
| ~ spl14_3
| ~ spl14_24
| spl14_124 ),
inference(forward_subsumption_resolution,[],[f8463,f226]) ).
fof(f8473,plain,
( $false
| ~ spl14_3
| ~ spl14_24
| spl14_124
| spl14_129 ),
inference(forward_subsumption_resolution,[],[f8469,f3754]) ).
fof(f8474,plain,
( ~ spl14_3
| ~ spl14_24
| spl14_124
| spl14_129 ),
inference(avatar_contradiction_clause,[],[f8473]) ).
fof(f8860,plain,
( ~ member(x,sF1)
| subclass(sF0,sF13)
| ~ member(x,universal_class)
| ~ spl14_206 ),
inference(superposition,[],[f278,f8193]) ).
fof(f8873,plain,
( subclass(sF0,sF13)
| ~ member(x,universal_class)
| ~ spl14_2
| ~ spl14_206 ),
inference(forward_subsumption_resolution,[],[f8860,f222]) ).
fof(f8880,plain,
( ~ member(x,universal_class)
| ~ spl14_2
| spl14_124
| ~ spl14_206 ),
inference(forward_subsumption_resolution,[],[f8873,f3721]) ).
fof(f8888,plain,
( $false
| ~ spl14_1
| ~ spl14_2
| spl14_124
| ~ spl14_206 ),
inference(forward_subsumption_resolution,[],[f8880,f217]) ).
fof(f8889,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_124
| ~ spl14_206 ),
inference(avatar_contradiction_clause,[],[f8888]) ).
cnf(s1,plain,
( ~ spl14_1
| spl14_2 ),
inference(sat_conversion,[],[f223]) ).
cnf(s2,plain,
( ~ spl14_3
| spl14_4 ),
inference(sat_conversion,[],[f232]) ).
cnf(s3,plain,
( ~ spl14_1
| spl14_5 ),
inference(sat_conversion,[],[f237]) ).
cnf(s11,plain,
( spl14_21
| spl14_23 ),
inference(sat_conversion,[],[f482]) ).
cnf(s12,plain,
( spl14_5
| spl14_24 ),
inference(sat_conversion,[],[f506]) ).
cnf(s28,plain,
( spl14_54
| spl14_55
| spl14_56 ),
inference(sat_conversion,[],[f676]) ).
cnf(s38,plain,
( spl14_46
| spl14_65 ),
inference(sat_conversion,[],[f862]) ).
cnf(s48,plain,
( ~ spl14_46
| spl14_65 ),
inference(sat_conversion,[],[f1012]) ).
cnf(s57,plain,
( spl14_1
| ~ spl14_5 ),
inference(sat_conversion,[],[f1200]) ).
cnf(s123,plain,
( ~ spl14_3
| spl14_23 ),
inference(sat_conversion,[],[f2488]) ).
cnf(s156,plain,
( spl14_3
| ~ spl14_65
| spl14_113
| spl14_114 ),
inference(sat_conversion,[],[f3662]) ).
cnf(s173,plain,
( ~ spl14_65
| spl14_123
| spl14_130 ),
inference(sat_conversion,[],[f3763]) ).
cnf(s175,plain,
( ~ spl14_65
| ~ spl14_129
| spl14_130 ),
inference(sat_conversion,[],[f3767]) ).
cnf(s190,plain,
( spl14_113
| spl14_114
| ~ spl14_130 ),
inference(sat_conversion,[],[f3845]) ).
cnf(s193,plain,
( spl14_30
| ~ spl14_113 ),
inference(sat_conversion,[],[f3888]) ).
cnf(s210,plain,
( ~ spl14_5
| ~ spl14_124
| ~ spl14_130 ),
inference(sat_conversion,[],[f4444]) ).
cnf(s233,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_21
| spl14_124 ),
inference(sat_conversion,[],[f5076]) ).
cnf(s243,plain,
( ~ spl14_5
| ~ spl14_23
| ~ spl14_65
| ~ spl14_124 ),
inference(sat_conversion,[],[f5290]) ).
cnf(s244,plain,
( spl14_3
| ~ spl14_123 ),
inference(sat_conversion,[],[f5322]) ).
cnf(s246,plain,
( spl14_3
| ~ spl14_23 ),
inference(sat_conversion,[],[f5325]) ).
cnf(s250,plain,
( spl14_1
| ~ spl14_114 ),
inference(sat_conversion,[],[f5806]) ).
cnf(s259,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_30
| ~ spl14_65 ),
inference(sat_conversion,[],[f6092]) ).
cnf(s286,plain,
( ~ spl14_30
| ~ spl14_56 ),
inference(sat_conversion,[],[f6917]) ).
cnf(s299,plain,
( spl14_1
| ~ spl14_55
| spl14_56 ),
inference(sat_conversion,[],[f7354]) ).
cnf(s301,plain,
( spl14_23
| ~ spl14_54
| spl14_56 ),
inference(sat_conversion,[],[f7370]) ).
cnf(s349,plain,
( ~ spl14_3
| ~ spl14_4
| spl14_124
| spl14_206 ),
inference(sat_conversion,[],[f8206]) ).
cnf(s363,plain,
( spl14_1
| ~ spl14_23
| ~ spl14_65
| ~ spl14_124 ),
inference(sat_conversion,[],[f8461]) ).
cnf(s364,plain,
( ~ spl14_3
| ~ spl14_24
| spl14_124
| spl14_129 ),
inference(sat_conversion,[],[f8474]) ).
cnf(s380,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_124
| ~ spl14_206 ),
inference(sat_conversion,[],[f8889]) ).
cnf(s382,plain,
spl14_65,
inference(rat,[],[s38,s48]) ).
cnf(s387,plain,
( spl14_3
| spl14_1 ),
inference(rat,[],[s28,s301,s299,s286,s193,s156,s246,s250,s382]) ).
cnf(s388,plain,
spl14_1,
inference(rat,[],[s190,s175,s193,s364,s259,s363,s2,s123,s387,s12,s57,s250,s382]) ).
cnf(s390,plain,
spl14_5,
inference(rat,[],[s3,s388]) ).
cnf(s391,plain,
spl14_2,
inference(rat,[],[s1,s388]) ).
cnf(s404,plain,
spl14_3,
inference(rat,[],[s210,s233,s173,s11,s244,s246,s390,s388,s391,s382]) ).
cnf(s408,plain,
spl14_23,
inference(rat,[],[s123,s404]) ).
cnf(s409,plain,
spl14_4,
inference(rat,[],[s2,s404]) ).
cnf(s412,plain,
~ spl14_124,
inference(rat,[],[s243,s382,s390,s408]) ).
cnf(s414,plain,
~ spl14_206,
inference(rat,[],[s380,s391,s388,s412]) ).
cnf(s417,plain,
$false,
inference(rat,[],[s349,s409,s404,s414,s412]) ).
fof(f8892,plain,
$false,
inference(avatar_sat_refutation,[],[s417]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET140-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 00:53:22 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 11.26/2.44 % (4041728)Input is clausal, will run a generic CNF schedule.
% 11.26/2.44 % (4041737)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1174205251:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.26/2.44 % (4041737)Instruction limit reached!
% 11.26/2.44 % (4041737)------------------------------
% 11.26/2.44 % (4041737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/2.44 % (4041737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.44 % (4041737)CaDiCaL version: 2.1.3
% 11.26/2.44 % (4041737)Termination reason: Instruction limit
% 11.26/2.44 % (4041737)Termination phase: Saturation
% 11.26/2.44 % (4041737)Time elapsed: 0.037 s
% 11.26/2.44 % (4041737)Peak memory usage: 89 MB
% 11.26/2.44 % (4041737)Instructions burned: 116 (million)
% 11.26/2.44 % (4041733)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=1080763632:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.26/2.44 % (4041736)lrs+10_1_sil=8000:sp=occurrence:random_seed=3951519539:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.26/2.44 % (4041735)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1975703118:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.26/2.44 % (4041734)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3110246811:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.26/2.44 % (4041736)Refutation not found, incomplete strategy
% 11.26/2.44 % (4041736)------------------------------
% 11.26/2.44 % (4041736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/2.44 % (4041736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.44 % (4041736)CaDiCaL version: 2.1.3
% 11.26/2.44 % (4041736)Termination reason: Refutation not found, incomplete strategy
% 11.26/2.44 % (4041736)Time elapsed: 0.003 s
% 11.26/2.44 % (4041736)Peak memory usage: 88 MB
% 11.26/2.44 % (4041736)Instructions burned: 3 (million)
% 11.26/2.44 % (4041739)dis-21_1_sil=8000:lcm=predicate:random_seed=482436248: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)
% 11.26/2.44 % (4041738)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3729926282:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.26/2.44 % (4041739)Instruction limit reached!
% 11.26/2.44 % (4041739)------------------------------
% 11.26/2.44 % (4041739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/2.44 % (4041739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.44 % (4041739)CaDiCaL version: 2.1.3
% 11.26/2.44 % (4041739)Termination reason: Instruction limit
% 11.26/2.44 % (4041739)Termination phase: Saturation
% 11.26/2.44 % (4041739)Time elapsed: 0.065 s
% 11.26/2.44 % (4041739)Peak memory usage: 88 MB
% 11.26/2.44 % (4041739)Instructions burned: 118 (million)
% 11.26/2.44 % (4041745)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=937013159:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 11.26/2.44 % (4041745)Refutation not found, incomplete strategy
% 11.26/2.44 % (4041745)------------------------------
% 11.26/2.44 % (4041745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/2.44 % (4041745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.44 % (4041745)CaDiCaL version: 2.1.3
% 11.26/2.44 % (4041745)Termination reason: Refutation not found, incomplete strategy
% 11.26/2.44 % (4041745)Time elapsed: 0.002 s
% 11.26/2.44 % (4041745)Peak memory usage: 88 MB
% 11.26/2.44 % (4041745)Instructions burned: 3 (million)
% 11.26/2.44 % (4041738)Instruction limit reached!
% 11.26/2.44 % (4041738)------------------------------
% 11.26/2.44 % (4041738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/2.44 % (4041738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.44 % (4041738)CaDiCaL version: 2.1.3
% 11.26/2.44 % (4041738)Termination reason: Instruction limit
% 11.26/2.44 % (4041738)Termination phase: Saturation
% 11.26/2.44 % (4041738)Time elapsed: 0.135 s
% 11.26/2.44 % (4041738)Peak memory usage: 90 MB
% 11.26/2.44 % (4041738)Instructions burned: 180 (million)
% 11.26/2.44 % (4041736)------------------------------
% 11.26/2.44 % (4041736)------------------------------
% 11.26/2.44 % (4041748)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1111495854: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)
% 11.26/2.44 % (4041745)------------------------------
% 11.26/2.44 % (4041745)------------------------------
% 11.26/2.44 % (4041750)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2627036421:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 11.26/2.44 % (4041750)Refutation not found, incomplete strategy
% 11.26/2.44 % (4041750)------------------------------
% 11.26/2.44 % (4041750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/2.44 % (4041750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.44 % (4041750)CaDiCaL version: 2.1.3
% 11.26/2.44 % (4041750)Termination reason: Refutation not found, incomplete strategy
% 11.26/2.44 % (4041750)Time elapsed: 0.003 s
% 11.26/2.44 % (4041750)Peak memory usage: 88 MB
% 11.26/2.44 % (4041750)Instructions burned: 3 (million)
% 11.26/2.44 % (4041748)Instruction limit reached!
% 11.26/2.44 % (4041748)------------------------------
% 11.26/2.44 % (4041748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/2.44 % (4041748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.44 % (4041748)CaDiCaL version: 2.1.3
% 11.26/2.44 % (4041748)Termination reason: Instruction limit
% 11.26/2.44 % (4041748)Termination phase: Saturation
% 11.26/2.44 % (4041748)Time elapsed: 0.105 s
% 11.26/2.44 % (4041748)Peak memory usage: 90 MB
% 11.26/2.44 % (4041748)Instructions burned: 189 (million)
% 11.26/2.44 % (4041753)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3024014417:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 11.26/2.44 % (4041752)lrs+10_64_to=lpo:sil=8000:random_seed=4173496590:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 11.26/2.44 % (4041753)Instruction limit reached!
% 11.26/2.44 % (4041753)------------------------------
% 11.26/2.44 % (4041753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/2.44 % (4041753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.44 % (4041753)CaDiCaL version: 2.1.3
% 11.26/2.44 % (4041753)Termination reason: Instruction limit
% 11.26/2.44 % (4041753)Termination phase: Saturation
% 11.26/2.44 % (4041753)Time elapsed: 0.065 s
% 11.26/2.44 % (4041753)Peak memory usage: 90 MB
% 11.26/2.44 % (4041753)Instructions burned: 195 (million)
% 11.26/2.44 % (4041752)Instruction limit reached!
% 11.26/2.44 % (4041752)------------------------------
% 11.26/2.44 % (4041752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/2.44 % (4041752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.44 % (4041752)CaDiCaL version: 2.1.3
% 11.26/2.44 % (4041752)Termination reason: Instruction limit
% 11.26/2.44 % (4041752)Termination phase: Saturation
% 11.26/2.44 % (4041752)Time elapsed: 0.079 s
% 11.26/2.44 % (4041752)Peak memory usage: 89 MB
% 11.26/2.44 % (4041752)Instructions burned: 126 (million)
% 11.26/2.44 % (4041755)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=613262325:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 11.26/2.44 % (4041750)------------------------------
% 11.26/2.44 % (4041750)------------------------------
% 11.26/2.44 % (4041758)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2253392746:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 11.26/2.44 % (4041755)Instruction limit reached!
% 11.26/2.44 % (4041755)------------------------------
% 11.26/2.44 % (4041755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/2.44 % (4041755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.44 % (4041755)CaDiCaL version: 2.1.3
% 11.26/2.44 % (4041755)Termination reason: Instruction limit
% 11.26/2.44 % (4041755)Termination phase: Saturation
% 11.26/2.44 % (4041755)Time elapsed: 0.109 s
% 11.26/2.44 % (4041755)Peak memory usage: 91 MB
% 11.26/2.44 % (4041755)Instructions burned: 158 (million)
% 11.26/2.44 % (4041759)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=3692299848:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 11.26/2.44 % (4041759)Instruction limit reached!
% 11.26/2.44 % (4041759)------------------------------
% 11.26/2.44 % (4041759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/2.44 % (4041759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.44 % (4041759)CaDiCaL version: 2.1.3
% 11.26/2.44 % (4041759)Termination reason: Instruction limit
% 11.26/2.44 % (4041759)Termination phase: Saturation
% 11.26/2.44 % (4041759)Time elapsed: 0.062 s
% 11.26/2.44 % (4041759)Peak memory usage: 90 MB
% 11.26/2.44 % (4041759)Instructions burned: 106 (million)
% 11.26/2.44 % (4041762)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1017124556:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 11.26/2.44 % (4041762)Refutation not found, incomplete strategy
% 11.26/2.44 % (4041762)------------------------------
% 11.26/2.44 % (4041762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/2.44 % (4041762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.44 % (4041762)CaDiCaL version: 2.1.3
% 11.26/2.44 % (4041762)Termination reason: Refutation not found, incomplete strategy
% 11.26/2.44 % (4041762)Time elapsed: 0.005 s
% 11.26/2.44 % (4041762)Peak memory usage: 88 MB
% 11.26/2.44 % (4041762)Instructions burned: 7 (million)
% 11.26/2.44 % (4041763)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2032908740:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 11.26/2.44 % (4041765)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1863258838:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 11.26/2.44 % (4041763)Instruction limit reached!
% 11.26/2.44 % (4041763)------------------------------
% 11.26/2.44 % (4041763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/2.44 % (4041763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.44 % (4041763)CaDiCaL version: 2.1.3
% 11.26/2.44 % (4041763)Termination reason: Instruction limit
% 11.26/2.44 % (4041763)Termination phase: Saturation
% 11.26/2.44 % (4041763)Time elapsed: 0.166 s
% 11.26/2.44 % (4041763)Peak memory usage: 90 MB
% 11.26/2.44 % (4041763)Instructions burned: 243 (million)
% 11.26/2.44 % (4041762)------------------------------
% 11.26/2.44 % (4041762)------------------------------
% 11.26/2.44 % (4041769)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2721444450:i=134:sd=2:doe=on:ss=axioms:sgt=14_2988 on theBenchmark for (2988ds/134Mi)
% 11.26/2.44 % (4041770)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1455101795:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 11.26/2.44 % (4041735)First to succeed.
% 11.26/2.44 % (4041735)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4041728"
% 11.26/2.44 % (4041769)Instruction limit reached!
% 11.26/2.44 % (4041769)------------------------------
% 11.26/2.44 % (4041769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/2.44 % (4041769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.44 % (4041769)CaDiCaL version: 2.1.3
% 11.26/2.44 % (4041769)Termination reason: Instruction limit
% 11.26/2.44 % (4041769)Termination phase: Saturation
% 11.26/2.44 % (4041769)Time elapsed: 0.098 s
% 11.26/2.44 % (4041769)Peak memory usage: 90 MB
% 11.26/2.44 % (4041769)Instructions burned: 134 (million)
% 11.26/2.44 % (4041773)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2998104447:i=191:fgj=on:bd=all_2986 on theBenchmark for (2986ds/191Mi)
% 11.26/2.44 % (4041770)Instruction limit reached!
% 11.26/2.44 % (4041770)------------------------------
% 11.26/2.44 % (4041770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/2.44 % (4041770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.44 % (4041770)CaDiCaL version: 2.1.3
% 11.26/2.44 % (4041770)Termination reason: Instruction limit
% 11.26/2.44 % (4041770)Termination phase: Saturation
% 11.26/2.44 % (4041770)Time elapsed: 0.292 s
% 11.26/2.44 % (4041770)Peak memory usage: 93 MB
% 11.26/2.44 % (4041770)Instructions burned: 500 (million)
% 11.26/2.44 % (4041735)Refutation found. Thanks to Tanya!
% 11.26/2.44 % SZS status Unsatisfiable for theBenchmark
% 11.26/2.44 % SZS output start Proof for theBenchmark
% See solution above
% 11.89/2.64 % (4041735)------------------------------
% 11.89/2.64 % (4041735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.89/2.64 % (4041735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/2.64 % (4041735)CaDiCaL version: 2.1.3
% 11.89/2.64 % (4041735)Termination reason: Refutation
% 11.89/2.64 % (4041735)Time elapsed: 1.180 s
% 11.89/2.64 % (4041735)Peak memory usage: 134 MB
% 11.89/2.64 % (4041735)Instructions burned: 1757 (million)
% 11.89/2.64 % (4041735)------------------------------
% 11.89/2.64 % (4041735)------------------------------
% 11.89/2.64 % (4041728)Success in time 1.599 s
% 11.89/2.64 % Vampire exiting
%------------------------------------------------------------------------------