%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET100-6 : 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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:40:07 PM UTC 2026
% Result : Unsatisfiable 8.84s 2.04s
% Output : Refutation 9.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 40
% Syntax : Number of formulae : 230 ( 34 unt; 24 def)
% Number of atoms : 556 ( 89 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 519 ( 193 ~; 309 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 18 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-2 aty)
% Number of variables : 115 ( 0 sgn 115 !; 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(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(f101,negated_conjecture,
unordered_pair(x,y) != union(singleton(x),singleton(y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unordered_pairs_and_singletons_1) ).
fof(f150,plain,
unordered_pair(x,y) != complement(intersection(complement(unordered_pair(x,x)),complement(unordered_pair(y,y)))),
inference(definition_unfolding,[],[f101,f26,f12,f12]) ).
fof(f154,definition,
sF0 = unordered_pair(x,y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f155,plain,
unordered_pair(x,y) = sF0,
inference(reorient_equations,[],[f154]) ).
fof(f156,definition,
sF1 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f157,plain,
unordered_pair(x,x) = sF1,
inference(reorient_equations,[],[f156]) ).
fof(f158,definition,
sF2 = complement(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f159,plain,
complement(sF1) = sF2,
inference(reorient_equations,[],[f158]) ).
fof(f160,definition,
sF3 = unordered_pair(y,y),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f161,plain,
unordered_pair(y,y) = sF3,
inference(reorient_equations,[],[f160]) ).
fof(f162,definition,
sF4 = complement(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f163,plain,
complement(sF3) = sF4,
inference(reorient_equations,[],[f162]) ).
fof(f164,definition,
sF5 = intersection(sF2,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f165,plain,
intersection(sF2,sF4) = sF5,
inference(reorient_equations,[],[f164]) ).
fof(f166,definition,
sF6 = complement(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f167,plain,
complement(sF5) = sF6,
inference(reorient_equations,[],[f166]) ).
fof(f168,plain,
sF0 != sF6,
inference(definition_folding,[],[f150,f167,f165,f163,f161,f159,f157,f155]) ).
fof(f169,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF2)
| member(X0,sF1) ),
inference(superposition,[],[f25,f159]) ).
fof(f170,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF4)
| member(X0,sF3) ),
inference(superposition,[],[f25,f163]) ).
fof(f171,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF6)
| member(X0,sF5) ),
inference(superposition,[],[f25,f167]) ).
fof(f173,plain,
! [X0] :
( ~ member(X0,sF2)
| ~ member(X0,sF1) ),
inference(superposition,[],[f24,f159]) ).
fof(f174,plain,
! [X0] :
( ~ member(X0,sF4)
| ~ member(X0,sF3) ),
inference(superposition,[],[f24,f163]) ).
fof(f175,plain,
! [X0] :
( ~ member(X0,sF6)
| ~ member(X0,sF5) ),
inference(superposition,[],[f24,f167]) ).
fof(f176,plain,
! [X0] :
( ~ member(X0,sF5)
| member(X0,sF2) ),
inference(superposition,[],[f21,f165]) ).
fof(f177,plain,
! [X0] :
( ~ member(X0,sF5)
| member(X0,sF4) ),
inference(superposition,[],[f22,f165]) ).
fof(f179,plain,
! [X0] :
( ~ member(X0,sF0)
| x = X0
| y = X0 ),
inference(superposition,[],[f8,f155]) ).
fof(f180,plain,
! [X0] :
( ~ member(X0,sF3)
| y = X0
| y = X0 ),
inference(superposition,[],[f8,f161]) ).
fof(f181,plain,
! [X0] :
( ~ member(X0,sF1)
| x = X0
| x = X0 ),
inference(superposition,[],[f8,f157]) ).
fof(f182,plain,
! [X0] :
( ~ member(X0,sF1)
| x = X0 ),
inference(duplicate_literal_removal,[],[f181]) ).
fof(f183,plain,
! [X0] :
( ~ member(X0,sF3)
| y = X0 ),
inference(duplicate_literal_removal,[],[f180]) ).
fof(f185,plain,
( member(x,sF0)
| ~ member(x,universal_class) ),
inference(superposition,[],[f9,f155]) ).
fof(f186,plain,
( member(y,sF3)
| ~ member(y,universal_class) ),
inference(superposition,[],[f9,f161]) ).
fof(f187,plain,
( member(x,sF1)
| ~ member(x,universal_class) ),
inference(superposition,[],[f9,f157]) ).
fof(f189,definition,
( spl7_1
<=> member(x,universal_class) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f191,plain,
( ~ member(x,universal_class)
| spl7_1 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f193,definition,
( spl7_2
<=> member(x,sF1) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f196,plain,
( ~ spl7_1
| spl7_2 ),
inference(avatar_split_clause,[],[f187,f193,f189]) ).
fof(f198,definition,
( spl7_3
<=> member(y,universal_class) ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
fof(f199,plain,
( member(y,universal_class)
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f200,plain,
( ~ member(y,universal_class)
| spl7_3 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f202,definition,
( spl7_4
<=> member(y,sF3) ),
introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).
fof(f204,plain,
( member(y,sF3)
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f205,plain,
( ~ spl7_3
| spl7_4 ),
inference(avatar_split_clause,[],[f186,f202,f198]) ).
fof(f207,definition,
( spl7_5
<=> member(x,sF0) ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
fof(f210,plain,
( ~ spl7_1
| spl7_5 ),
inference(avatar_split_clause,[],[f185,f207,f189]) ).
fof(f212,plain,
( member(y,sF0)
| ~ member(y,universal_class) ),
inference(superposition,[],[f10,f155]) ).
fof(f221,plain,
! [X0] :
( ~ member(X0,sF4)
| member(X0,sF5)
| ~ member(X0,sF2) ),
inference(superposition,[],[f23,f165]) ).
fof(f222,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X1),X2)
| ~ subclass(X0,X2)
| subclass(X0,X1) ),
inference(resolution,[],[f2,f1]) ).
fof(f228,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f21]) ).
fof(f230,plain,
! [X0] :
( subclass(sF0,X0)
| x = not_subclass_element(sF0,X0)
| y = not_subclass_element(sF0,X0) ),
inference(resolution,[],[f2,f179]) ).
fof(f238,plain,
! [X0] :
( ~ member(not_subclass_element(sF6,X0),sF5)
| subclass(sF6,X0) ),
inference(resolution,[],[f2,f175]) ).
fof(f239,plain,
! [X0] :
( ~ subclass(X0,sF0)
| y = not_subclass_element(sF0,X0)
| x = not_subclass_element(sF0,X0)
| sF0 = X0 ),
inference(resolution,[],[f230,f7]) ).
fof(f277,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f3,f228]) ).
fof(f280,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
| subclass(X0,intersection(X1,X2))
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X1) ),
inference(resolution,[],[f3,f23]) ).
fof(f282,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f277]) ).
fof(f292,plain,
! [X0,X1] :
( ~ subclass(X0,universal_class)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF4)
| member(not_subclass_element(X0,X1),sF3) ),
inference(resolution,[],[f222,f170]) ).
fof(f293,plain,
! [X0,X1] :
( ~ subclass(X0,universal_class)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF2)
| member(not_subclass_element(X0,X1),sF1) ),
inference(resolution,[],[f222,f169]) ).
fof(f294,plain,
! [X0,X1] :
( ~ subclass(X0,universal_class)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF6)
| member(not_subclass_element(X0,X1),sF5) ),
inference(resolution,[],[f222,f171]) ).
fof(f310,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF6)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF5) ),
inference(forward_subsumption_resolution,[],[f294,f4]) ).
fof(f311,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF2)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF1) ),
inference(forward_subsumption_resolution,[],[f293,f4]) ).
fof(f312,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF4)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF3) ),
inference(forward_subsumption_resolution,[],[f292,f4]) ).
fof(f321,plain,
! [X0] :
( subclass(X0,sF6)
| member(not_subclass_element(X0,sF6),sF5)
| subclass(X0,sF6) ),
inference(resolution,[],[f310,f3]) ).
fof(f324,plain,
! [X0] :
( member(not_subclass_element(X0,sF6),sF5)
| subclass(X0,sF6) ),
inference(duplicate_literal_removal,[],[f321]) ).
fof(f326,plain,
! [X0] :
( member(not_subclass_element(X0,sF6),sF4)
| subclass(X0,sF6) ),
inference(resolution,[],[f324,f177]) ).
fof(f327,plain,
! [X0] :
( member(not_subclass_element(X0,sF6),sF2)
| subclass(X0,sF6) ),
inference(resolution,[],[f324,f176]) ).
fof(f330,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF6),sF1)
| subclass(X0,sF6) ),
inference(resolution,[],[f327,f173]) ).
fof(f333,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF6),sF3)
| subclass(X0,sF6) ),
inference(resolution,[],[f326,f174]) ).
fof(f356,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),sF2)
| member(not_subclass_element(X0,X1),sF3)
| member(not_subclass_element(X0,X1),sF5)
| subclass(X0,X1) ),
inference(resolution,[],[f312,f221]) ).
fof(f361,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF3)
| member(not_subclass_element(X0,X1),sF5)
| subclass(X0,X1)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF1) ),
inference(resolution,[],[f356,f311]) ).
fof(f370,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF5)
| member(not_subclass_element(X0,X1),sF3)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF1) ),
inference(duplicate_literal_removal,[],[f361]) ).
fof(f372,plain,
! [X0] :
( member(not_subclass_element(sF6,X0),sF3)
| subclass(sF6,X0)
| member(not_subclass_element(sF6,X0),sF1)
| subclass(sF6,X0) ),
inference(resolution,[],[f370,f238]) ).
fof(f378,plain,
! [X0] :
( member(not_subclass_element(sF6,X0),sF3)
| subclass(sF6,X0)
| member(not_subclass_element(sF6,X0),sF1) ),
inference(duplicate_literal_removal,[],[f372]) ).
fof(f381,plain,
! [X0] :
( member(not_subclass_element(sF6,X0),sF1)
| subclass(sF6,X0)
| y = not_subclass_element(sF6,X0) ),
inference(resolution,[],[f378,f183]) ).
fof(f396,plain,
! [X0] :
( subclass(sF6,X0)
| y = not_subclass_element(sF6,X0)
| x = not_subclass_element(sF6,X0) ),
inference(resolution,[],[f381,f182]) ).
fof(f409,plain,
! [X0] :
( ~ subclass(X0,sF6)
| x = not_subclass_element(sF6,X0)
| y = not_subclass_element(sF6,X0)
| sF6 = X0 ),
inference(resolution,[],[f396,f7]) ).
fof(f413,definition,
( spl7_12
<=> x = not_subclass_element(sF0,sF6) ),
introduced(definition,[new_symbols(definition,[spl7_12])],[avatar_definition]) ).
fof(f414,plain,
( x != not_subclass_element(sF0,sF6)
| spl7_12 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f415,plain,
( x = not_subclass_element(sF0,sF6)
| ~ spl7_12 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f417,definition,
( spl7_13
<=> y = not_subclass_element(sF0,sF6) ),
introduced(definition,[new_symbols(definition,[spl7_13])],[avatar_definition]) ).
fof(f418,plain,
( y != not_subclass_element(sF0,sF6)
| spl7_13 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f419,plain,
( y = not_subclass_element(sF0,sF6)
| ~ spl7_13 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f421,definition,
( spl7_14
<=> x = not_subclass_element(sF6,sF0) ),
introduced(definition,[new_symbols(definition,[spl7_14])],[avatar_definition]) ).
fof(f422,plain,
( x != not_subclass_element(sF6,sF0)
| spl7_14 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f423,plain,
( x = not_subclass_element(sF6,sF0)
| ~ spl7_14 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f425,definition,
( spl7_15
<=> y = not_subclass_element(sF6,sF0) ),
introduced(definition,[new_symbols(definition,[spl7_15])],[avatar_definition]) ).
fof(f426,plain,
( y != not_subclass_element(sF6,sF0)
| spl7_15 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f427,plain,
( y = not_subclass_element(sF6,sF0)
| ~ spl7_15 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f430,plain,
( ~ member(x,sF1)
| subclass(sF0,sF6)
| ~ spl7_12 ),
inference(superposition,[],[f330,f415]) ).
fof(f436,plain,
( ! [X0] :
( member(x,X0)
| ~ subclass(sF0,X0)
| subclass(sF0,sF6) )
| ~ spl7_12 ),
inference(superposition,[],[f222,f415]) ).
fof(f443,definition,
( spl7_16
<=> subclass(sF0,sF6) ),
introduced(definition,[new_symbols(definition,[spl7_16])],[avatar_definition]) ).
fof(f445,plain,
( subclass(sF0,sF6)
| ~ spl7_16 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f472,definition,
( spl7_22
<=> ! [X0] :
( member(x,X0)
| ~ subclass(sF0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl7_22])],[avatar_definition]) ).
fof(f473,plain,
( ! [X0] :
( ~ subclass(sF0,X0)
| member(x,X0) )
| ~ spl7_22 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f474,plain,
( spl7_16
| spl7_22
| ~ spl7_12 ),
inference(avatar_split_clause,[],[f436,f413,f472,f443]) ).
fof(f480,plain,
( spl7_16
| ~ spl7_2
| ~ spl7_12 ),
inference(avatar_split_clause,[],[f430,f413,f193,f443]) ).
fof(f482,plain,
( ~ member(y,sF3)
| subclass(sF0,sF6)
| ~ spl7_13 ),
inference(superposition,[],[f333,f419]) ).
fof(f484,plain,
( member(y,sF4)
| subclass(sF0,sF6)
| ~ spl7_13 ),
inference(superposition,[],[f326,f419]) ).
fof(f496,definition,
( spl7_23
<=> member(y,sF1) ),
introduced(definition,[new_symbols(definition,[spl7_23])],[avatar_definition]) ).
fof(f498,plain,
( member(y,sF1)
| ~ spl7_23 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f510,definition,
( spl7_26
<=> member(y,sF4) ),
introduced(definition,[new_symbols(definition,[spl7_26])],[avatar_definition]) ).
fof(f512,plain,
( member(y,sF4)
| ~ spl7_26 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f526,definition,
( spl7_29
<=> member(y,sF0) ),
introduced(definition,[new_symbols(definition,[spl7_29])],[avatar_definition]) ).
fof(f527,plain,
( ~ member(y,sF0)
| spl7_29 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f532,plain,
( spl7_16
| spl7_26
| ~ spl7_13 ),
inference(avatar_split_clause,[],[f484,f417,f510,f443]) ).
fof(f534,plain,
( spl7_16
| ~ spl7_4
| ~ spl7_13 ),
inference(avatar_split_clause,[],[f482,f417,f202,f443]) ).
fof(f539,plain,
( ~ member(x,sF0)
| subclass(sF6,sF0)
| ~ spl7_14 ),
inference(superposition,[],[f3,f423]) ).
fof(f540,plain,
( ! [X0] :
( member(x,X0)
| ~ subclass(sF6,X0)
| subclass(sF6,sF0) )
| ~ spl7_14 ),
inference(superposition,[],[f222,f423]) ).
fof(f547,definition,
( spl7_30
<=> subclass(sF6,sF0) ),
introduced(definition,[new_symbols(definition,[spl7_30])],[avatar_definition]) ).
fof(f548,plain,
( ~ subclass(sF6,sF0)
| spl7_30 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f549,plain,
( subclass(sF6,sF0)
| ~ spl7_30 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f556,definition,
( spl7_31
<=> ! [X0] :
( member(x,X0)
| ~ subclass(sF6,X0) ) ),
introduced(definition,[new_symbols(definition,[spl7_31])],[avatar_definition]) ).
fof(f557,plain,
( ! [X0] :
( ~ subclass(sF6,X0)
| member(x,X0) )
| ~ spl7_31 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f558,plain,
( spl7_30
| spl7_31
| ~ spl7_14 ),
inference(avatar_split_clause,[],[f540,f421,f556,f547]) ).
fof(f559,plain,
( spl7_30
| ~ spl7_5
| ~ spl7_14 ),
inference(avatar_split_clause,[],[f539,f421,f207,f547]) ).
fof(f564,definition,
( spl7_32
<=> x = y ),
introduced(definition,[new_symbols(definition,[spl7_32])],[avatar_definition]) ).
fof(f565,plain,
( x != y
| spl7_32 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f566,plain,
( x = y
| ~ spl7_32 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f568,plain,
( member(y,sF3)
| subclass(sF6,sF0)
| member(y,sF1)
| ~ spl7_15 ),
inference(superposition,[],[f378,f427]) ).
fof(f571,plain,
( ~ member(y,sF0)
| subclass(sF6,sF0)
| ~ spl7_15 ),
inference(superposition,[],[f3,f427]) ).
fof(f587,plain,
( spl7_30
| ~ spl7_29
| ~ spl7_15 ),
inference(avatar_split_clause,[],[f571,f425,f526,f547]) ).
fof(f590,plain,
( spl7_23
| spl7_30
| spl7_4
| ~ spl7_15 ),
inference(avatar_split_clause,[],[f568,f425,f202,f547,f496]) ).
fof(f604,plain,
( ~ subclass(sF6,sF0)
| sF0 = sF6
| ~ spl7_16 ),
inference(resolution,[],[f445,f7]) ).
fof(f605,plain,
( ~ subclass(sF6,sF0)
| ~ spl7_16 ),
inference(forward_subsumption_resolution,[],[f604,f168]) ).
fof(f606,plain,
( ~ spl7_30
| ~ spl7_16 ),
inference(avatar_split_clause,[],[f605,f443,f547]) ).
fof(f629,plain,
( y = not_subclass_element(sF6,sF0)
| x = not_subclass_element(sF6,sF0)
| spl7_30 ),
inference(resolution,[],[f548,f396]) ).
fof(f630,plain,
( x = not_subclass_element(sF6,sF0)
| spl7_15
| spl7_30 ),
inference(forward_subsumption_resolution,[],[f629,f426]) ).
fof(f631,plain,
( $false
| spl7_14
| spl7_15
| spl7_30 ),
inference(forward_subsumption_resolution,[],[f630,f422]) ).
fof(f632,plain,
( spl7_14
| spl7_15
| spl7_30 ),
inference(avatar_contradiction_clause,[],[f631]) ).
fof(f720,plain,
! [X2,X0,X1] :
( subclass(X0,intersection(X1,X2))
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| ~ subclass(X0,X2)
| subclass(X0,intersection(X1,X2)) ),
inference(resolution,[],[f280,f222]) ).
fof(f736,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| subclass(X0,intersection(X1,X2))
| ~ subclass(X0,X2) ),
inference(duplicate_literal_removal,[],[f720]) ).
fof(f748,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1)
| subclass(X0,intersection(X0,X1)) ),
inference(resolution,[],[f736,f2]) ).
fof(f770,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f748]) ).
fof(f778,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(intersection(X0,X1),X0)
| intersection(X0,X1) = X0 ),
inference(resolution,[],[f770,f7]) ).
fof(f789,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| intersection(X0,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f778,f282]) ).
fof(f790,plain,
! [X0] : intersection(X0,universal_class) = X0,
inference(resolution,[],[f789,f4]) ).
fof(f834,plain,
! [X0,X1] :
( ~ member(X1,X0)
| member(X1,universal_class) ),
inference(superposition,[],[f22,f790]) ).
fof(f898,plain,
( member(x,universal_class)
| ~ spl7_22 ),
inference(resolution,[],[f473,f4]) ).
fof(f902,plain,
( member(x,universal_class)
| ~ spl7_31 ),
inference(resolution,[],[f557,f4]) ).
fof(f1219,plain,
( x = not_subclass_element(sF6,sF0)
| y = not_subclass_element(sF6,sF0)
| sF0 = sF6
| x = not_subclass_element(sF0,sF6)
| y = not_subclass_element(sF0,sF6) ),
inference(resolution,[],[f409,f230]) ).
fof(f1477,plain,
( x = not_subclass_element(sF6,sF0)
| y = not_subclass_element(sF6,sF0)
| x = not_subclass_element(sF0,sF6)
| y = not_subclass_element(sF0,sF6) ),
inference(forward_subsumption_resolution,[],[f1219,f168]) ).
fof(f1487,plain,
( $false
| spl7_1
| ~ spl7_22 ),
inference(forward_subsumption_resolution,[],[f898,f191]) ).
fof(f1488,plain,
( spl7_1
| ~ spl7_22 ),
inference(avatar_contradiction_clause,[],[f1487]) ).
fof(f1489,plain,
( $false
| spl7_1
| ~ spl7_31 ),
inference(forward_subsumption_resolution,[],[f902,f191]) ).
fof(f1490,plain,
( spl7_1
| ~ spl7_31 ),
inference(avatar_contradiction_clause,[],[f1489]) ).
fof(f1529,plain,
( member(y,universal_class)
| ~ spl7_26 ),
inference(resolution,[],[f512,f834]) ).
fof(f1531,plain,
( $false
| spl7_3
| ~ spl7_26 ),
inference(forward_subsumption_resolution,[],[f1529,f200]) ).
fof(f1532,plain,
( spl7_3
| ~ spl7_26 ),
inference(avatar_contradiction_clause,[],[f1531]) ).
fof(f1549,plain,
( x = y
| ~ spl7_23 ),
inference(resolution,[],[f498,f182]) ).
fof(f1550,plain,
( member(y,universal_class)
| ~ spl7_23 ),
inference(resolution,[],[f498,f834]) ).
fof(f1552,plain,
( $false
| spl7_3
| ~ spl7_23 ),
inference(forward_subsumption_resolution,[],[f1550,f200]) ).
fof(f1553,plain,
( spl7_3
| ~ spl7_23 ),
inference(avatar_contradiction_clause,[],[f1552]) ).
fof(f1554,plain,
( $false
| ~ spl7_23
| spl7_32 ),
inference(forward_subsumption_resolution,[],[f1549,f565]) ).
fof(f1555,plain,
( ~ spl7_23
| spl7_32 ),
inference(avatar_contradiction_clause,[],[f1554]) ).
fof(f1559,plain,
( ~ member(y,universal_class)
| spl7_29 ),
inference(forward_subsumption_resolution,[],[f212,f527]) ).
fof(f1563,plain,
( $false
| ~ spl7_3
| spl7_29 ),
inference(forward_subsumption_resolution,[],[f1559,f199]) ).
fof(f1564,plain,
( ~ spl7_3
| spl7_29 ),
inference(avatar_contradiction_clause,[],[f1563]) ).
fof(f1599,plain,
( x = not_subclass_element(sF6,sF0)
| ~ spl7_15
| ~ spl7_32 ),
inference(forward_demodulation,[],[f427,f566]) ).
fof(f1602,plain,
( y = not_subclass_element(sF6,sF0)
| x = not_subclass_element(sF0,sF6)
| y = not_subclass_element(sF0,sF6)
| spl7_14 ),
inference(forward_subsumption_resolution,[],[f1477,f422]) ).
fof(f1621,plain,
( $false
| spl7_14
| ~ spl7_15
| ~ spl7_32 ),
inference(forward_subsumption_resolution,[],[f1599,f422]) ).
fof(f1622,plain,
( spl7_14
| ~ spl7_15
| ~ spl7_32 ),
inference(avatar_contradiction_clause,[],[f1621]) ).
fof(f1626,plain,
( y = not_subclass_element(sF6,sF0)
| y = not_subclass_element(sF0,sF6)
| spl7_12
| spl7_14 ),
inference(forward_subsumption_resolution,[],[f1602,f414]) ).
fof(f1630,plain,
( x = not_subclass_element(sF6,sF0)
| y = not_subclass_element(sF0,sF6)
| spl7_12
| spl7_14
| ~ spl7_32 ),
inference(forward_demodulation,[],[f1626,f566]) ).
fof(f1631,plain,
( y = not_subclass_element(sF0,sF6)
| spl7_12
| spl7_14
| ~ spl7_32 ),
inference(forward_subsumption_resolution,[],[f1630,f422]) ).
fof(f1632,plain,
( x = not_subclass_element(sF0,sF6)
| spl7_12
| spl7_14
| ~ spl7_32 ),
inference(forward_demodulation,[],[f1631,f566]) ).
fof(f1633,plain,
( $false
| spl7_12
| spl7_14
| ~ spl7_32 ),
inference(forward_subsumption_resolution,[],[f1632,f414]) ).
fof(f1634,plain,
( spl7_12
| spl7_14
| ~ spl7_32 ),
inference(avatar_contradiction_clause,[],[f1633]) ).
fof(f1651,plain,
( y = not_subclass_element(sF0,sF6)
| x = not_subclass_element(sF0,sF6)
| sF0 = sF6
| ~ spl7_30 ),
inference(resolution,[],[f549,f239]) ).
fof(f1654,plain,
( x = not_subclass_element(sF0,sF6)
| sF0 = sF6
| spl7_13
| ~ spl7_30 ),
inference(forward_subsumption_resolution,[],[f1651,f418]) ).
fof(f1655,plain,
( sF0 = sF6
| spl7_12
| spl7_13
| ~ spl7_30 ),
inference(forward_subsumption_resolution,[],[f1654,f414]) ).
fof(f1656,plain,
( $false
| spl7_12
| spl7_13
| ~ spl7_30 ),
inference(forward_subsumption_resolution,[],[f1655,f168]) ).
fof(f1657,plain,
( spl7_12
| spl7_13
| ~ spl7_30 ),
inference(avatar_contradiction_clause,[],[f1656]) ).
fof(f1700,plain,
( member(y,universal_class)
| ~ spl7_4 ),
inference(resolution,[],[f204,f834]) ).
fof(f1702,plain,
( $false
| spl7_3
| ~ spl7_4 ),
inference(forward_subsumption_resolution,[],[f1700,f200]) ).
fof(f1703,plain,
( spl7_3
| ~ spl7_4 ),
inference(avatar_contradiction_clause,[],[f1702]) ).
cnf(s1,plain,
( ~ spl7_1
| spl7_2 ),
inference(sat_conversion,[],[f196]) ).
cnf(s2,plain,
( ~ spl7_3
| spl7_4 ),
inference(sat_conversion,[],[f205]) ).
cnf(s3,plain,
( ~ spl7_1
| spl7_5 ),
inference(sat_conversion,[],[f210]) ).
cnf(s13,plain,
( ~ spl7_12
| spl7_16
| spl7_22 ),
inference(sat_conversion,[],[f474]) ).
cnf(s19,plain,
( ~ spl7_2
| ~ spl7_12
| spl7_16 ),
inference(sat_conversion,[],[f480]) ).
cnf(s31,plain,
( ~ spl7_13
| spl7_16
| spl7_26 ),
inference(sat_conversion,[],[f532]) ).
cnf(s33,plain,
( ~ spl7_4
| ~ spl7_13
| spl7_16 ),
inference(sat_conversion,[],[f534]) ).
cnf(s39,plain,
( ~ spl7_14
| spl7_30
| spl7_31 ),
inference(sat_conversion,[],[f558]) ).
cnf(s40,plain,
( ~ spl7_5
| ~ spl7_14
| spl7_30 ),
inference(sat_conversion,[],[f559]) ).
cnf(s51,plain,
( ~ spl7_15
| ~ spl7_29
| spl7_30 ),
inference(sat_conversion,[],[f587]) ).
cnf(s54,plain,
( spl7_4
| ~ spl7_15
| spl7_23
| spl7_30 ),
inference(sat_conversion,[],[f590]) ).
cnf(s55,plain,
( ~ spl7_16
| ~ spl7_30 ),
inference(sat_conversion,[],[f606]) ).
cnf(s67,plain,
( spl7_14
| spl7_15
| spl7_30 ),
inference(sat_conversion,[],[f632]) ).
cnf(s102,plain,
( spl7_1
| ~ spl7_22 ),
inference(sat_conversion,[],[f1488]) ).
cnf(s103,plain,
( spl7_1
| ~ spl7_31 ),
inference(sat_conversion,[],[f1490]) ).
cnf(s107,plain,
( spl7_3
| ~ spl7_26 ),
inference(sat_conversion,[],[f1532]) ).
cnf(s110,plain,
( spl7_3
| ~ spl7_23 ),
inference(sat_conversion,[],[f1553]) ).
cnf(s111,plain,
( ~ spl7_23
| spl7_32 ),
inference(sat_conversion,[],[f1555]) ).
cnf(s112,plain,
( ~ spl7_3
| spl7_29 ),
inference(sat_conversion,[],[f1564]) ).
cnf(s119,plain,
( spl7_14
| ~ spl7_15
| ~ spl7_32 ),
inference(sat_conversion,[],[f1622]) ).
cnf(s123,plain,
( spl7_12
| spl7_14
| ~ spl7_32 ),
inference(sat_conversion,[],[f1634]) ).
cnf(s126,plain,
( spl7_12
| spl7_13
| ~ spl7_30 ),
inference(sat_conversion,[],[f1657]) ).
cnf(s130,plain,
( spl7_3
| ~ spl7_4 ),
inference(sat_conversion,[],[f1703]) ).
cnf(s131,plain,
( spl7_30
| spl7_3
| spl7_31 ),
inference(rat,[],[s39,s67,s54,s130,s110]) ).
cnf(s132,plain,
( spl7_3
| spl7_1 ),
inference(rat,[],[s126,s13,s31,s55,s131,s107,s103,s102]) ).
cnf(s133,plain,
( spl7_30
| spl7_1 ),
inference(rat,[],[s39,s67,s51,s103,s112,s132]) ).
cnf(s134,plain,
spl7_1,
inference(rat,[],[s126,s13,s33,s55,s133,s2,s132,s102]) ).
cnf(s135,plain,
spl7_5,
inference(rat,[],[s3,s134]) ).
cnf(s136,plain,
spl7_2,
inference(rat,[],[s1,s134]) ).
cnf(s138,plain,
( ~ spl7_15
| spl7_30
| spl7_23 ),
inference(rat,[],[s112,s130,s51,s54]) ).
cnf(s139,plain,
( spl7_30
| spl7_12 ),
inference(rat,[],[s138,s111,s67,s123,s40,s135]) ).
cnf(s140,plain,
( ~ spl7_13
| spl7_16 ),
inference(rat,[],[s107,s2,s31,s33]) ).
cnf(s141,plain,
spl7_12,
inference(rat,[],[s140,s126,s55,s139]) ).
cnf(s142,plain,
spl7_16,
inference(rat,[],[s19,s136,s141]) ).
cnf(s143,plain,
~ spl7_30,
inference(rat,[],[s55,s142]) ).
cnf(s144,plain,
~ spl7_14,
inference(rat,[],[s40,s135,s143]) ).
cnf(s145,plain,
spl7_15,
inference(rat,[],[s67,s143,s144]) ).
cnf(s146,plain,
~ spl7_32,
inference(rat,[],[s119,s144,s145]) ).
cnf(s147,plain,
spl7_23,
inference(rat,[],[s138,s143,s145]) ).
cnf(s152,plain,
$false,
inference(rat,[],[s111,s146,s147]) ).
fof(f1704,plain,
$false,
inference(avatar_sat_refutation,[],[s152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET100-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 00:47:03 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 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
% 7.11/2.03 % (3153278)Input is clausal, will run a generic CNF schedule.
% 7.11/2.03 % (3153284)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=279725649:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.11/2.03 % (3153285)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2943988168:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.11/2.03 % (3153286)lrs+10_1_sil=8000:sp=occurrence:random_seed=833587997:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.11/2.03 % (3153283)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=1600482045:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.11/2.03 % (3153286)Refutation not found, incomplete strategy
% 7.11/2.03 % (3153286)------------------------------
% 7.11/2.03 % (3153286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.11/2.03 % (3153286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/2.03 % (3153286)CaDiCaL version: 2.1.3
% 7.11/2.03 % (3153286)Termination reason: Refutation not found, incomplete strategy
% 7.11/2.03 % (3153286)Time elapsed: 0.006 s
% 7.11/2.03 % (3153286)Peak memory usage: 88 MB
% 7.11/2.03 % (3153286)Instructions burned: 6 (million)
% 7.11/2.03 % (3153289)dis-21_1_sil=8000:lcm=predicate:random_seed=2449505473: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)
% 7.11/2.03 % (3153287)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1327034868:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.11/2.03 % (3153288)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=725469625:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.11/2.03 % (3153289)Instruction limit reached!
% 7.11/2.03 % (3153289)------------------------------
% 7.11/2.03 % (3153289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.11/2.03 % (3153289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/2.03 % (3153289)CaDiCaL version: 2.1.3
% 7.11/2.03 % (3153289)Termination reason: Instruction limit
% 7.11/2.03 % (3153289)Termination phase: Saturation
% 7.11/2.03 % (3153289)Time elapsed: 0.065 s
% 7.11/2.03 % (3153289)Peak memory usage: 89 MB
% 7.11/2.03 % (3153289)Instructions burned: 118 (million)
% 7.11/2.03 % (3153287)Instruction limit reached!
% 7.11/2.03 % (3153287)------------------------------
% 7.11/2.03 % (3153287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.11/2.03 % (3153287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/2.03 % (3153287)CaDiCaL version: 2.1.3
% 7.11/2.03 % (3153287)Termination reason: Instruction limit
% 7.11/2.03 % (3153287)Termination phase: Saturation
% 7.11/2.03 % (3153287)Time elapsed: 0.069 s
% 7.11/2.03 % (3153287)Peak memory usage: 89 MB
% 7.11/2.03 % (3153287)Instructions burned: 116 (million)
% 7.11/2.03 % (3153288)Instruction limit reached!
% 7.11/2.03 % (3153288)------------------------------
% 7.11/2.03 % (3153288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.11/2.03 % (3153288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/2.04 % (3153288)CaDiCaL version: 2.1.3
% 7.11/2.04 % (3153288)Termination reason: Instruction limit
% 7.11/2.04 % (3153288)Termination phase: Saturation
% 7.11/2.04 % (3153288)Time elapsed: 0.135 s
% 7.11/2.04 % (3153288)Peak memory usage: 90 MB
% 7.11/2.04 % (3153288)Instructions burned: 181 (million)
% 7.11/2.04 % (3153298)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=751572787: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)
% 7.11/2.04 % (3153297)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=1146046584:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 7.11/2.04 % (3153297)Refutation not found, incomplete strategy
% 7.11/2.04 % (3153297)------------------------------
% 7.11/2.04 % (3153297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.11/2.04 % (3153297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/2.04 % (3153297)CaDiCaL version: 2.1.3
% 7.11/2.04 % (3153297)Termination reason: Refutation not found, incomplete strategy
% 7.11/2.04 % (3153297)Time elapsed: 0.003 s
% 7.11/2.04 % (3153297)Peak memory usage: 88 MB
% 7.11/2.04 % (3153297)Instructions burned: 3 (million)
% 7.11/2.04 % (3153286)------------------------------
% 7.11/2.04 % (3153286)------------------------------
% 7.11/2.04 % (3153299)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2288081528:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.11/2.04 % (3153299)Refutation not found, incomplete strategy
% 7.11/2.04 % (3153299)------------------------------
% 7.11/2.04 % (3153299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.11/2.04 % (3153299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/2.04 % (3153299)CaDiCaL version: 2.1.3
% 7.11/2.04 % (3153299)Termination reason: Refutation not found, incomplete strategy
% 7.11/2.04 % (3153299)Time elapsed: 0.003 s
% 7.11/2.04 % (3153299)Peak memory usage: 88 MB
% 7.11/2.04 % (3153299)Instructions burned: 3 (million)
% 7.11/2.04 % (3153298)Instruction limit reached!
% 7.11/2.04 % (3153298)------------------------------
% 7.11/2.04 % (3153298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.11/2.04 % (3153298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/2.04 % (3153298)CaDiCaL version: 2.1.3
% 7.11/2.04 % (3153298)Termination reason: Instruction limit
% 7.11/2.04 % (3153298)Termination phase: Saturation
% 7.11/2.04 % (3153298)Time elapsed: 0.111 s
% 7.11/2.04 % (3153298)Peak memory usage: 90 MB
% 7.11/2.04 % (3153298)Instructions burned: 189 (million)
% 7.11/2.04 % (3153302)lrs+10_64_to=lpo:sil=8000:random_seed=1956257179:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 7.11/2.04 % (3153302)Instruction limit reached!
% 7.11/2.04 % (3153302)------------------------------
% 7.11/2.04 % (3153302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.11/2.04 % (3153302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/2.04 % (3153302)CaDiCaL version: 2.1.3
% 7.11/2.04 % (3153302)Termination reason: Instruction limit
% 7.11/2.04 % (3153302)Termination phase: Saturation
% 7.11/2.04 % (3153302)Time elapsed: 0.044 s
% 7.11/2.04 % (3153302)Peak memory usage: 89 MB
% 7.11/2.04 % (3153302)Instructions burned: 128 (million)
% 7.11/2.04 % (3153304)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=445393238:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 7.11/2.04 % (3153297)------------------------------
% 7.11/2.04 % (3153297)------------------------------
% 7.11/2.04 % (3153306)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3905348356:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 7.11/2.04 % (3153299)------------------------------
% 7.11/2.04 % (3153299)------------------------------
% 7.11/2.04 % (3153306)Instruction limit reached!
% 7.11/2.04 % (3153306)------------------------------
% 7.11/2.04 % (3153306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.11/2.04 % (3153306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/2.04 % (3153306)CaDiCaL version: 2.1.3
% 7.11/2.04 % (3153306)Termination reason: Instruction limit
% 7.11/2.04 % (3153306)Termination phase: Saturation
% 7.11/2.04 % (3153306)Time elapsed: 0.060 s
% 7.11/2.04 % (3153306)Peak memory usage: 91 MB
% 7.11/2.04 % (3153306)Instructions burned: 161 (million)
% 7.11/2.04 % (3153304)Instruction limit reached!
% 7.11/2.04 % (3153304)------------------------------
% 7.11/2.04 % (3153304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.11/2.04 % (3153304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/2.04 % (3153304)CaDiCaL version: 2.1.3
% 7.11/2.04 % (3153304)Termination reason: Instruction limit
% 7.11/2.04 % (3153304)Termination phase: Saturation
% 7.11/2.04 % (3153304)Time elapsed: 0.126 s
% 7.11/2.04 % (3153304)Peak memory usage: 90 MB
% 7.11/2.04 % (3153304)Instructions burned: 195 (million)
% 7.11/2.04 % (3153309)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2810634124:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 7.11/2.04 % (3153311)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3398262193:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 7.11/2.04 % (3153311)Refutation not found, incomplete strategy
% 7.11/2.04 % (3153311)------------------------------
% 7.11/2.04 % (3153311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.11/2.04 % (3153311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/2.04 % (3153311)CaDiCaL version: 2.1.3
% 7.11/2.04 % (3153311)Termination reason: Refutation not found, incomplete strategy
% 7.11/2.04 % (3153311)Time elapsed: 0.002 s
% 7.11/2.04 % (3153311)Peak memory usage: 88 MB
% 7.11/2.04 % (3153311)Instructions burned: 7 (million)
% 7.11/2.04 % (3153310)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=799733118:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 7.11/2.04 % (3153312)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=211932011:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 7.11/2.04 % (3153310)Instruction limit reached!
% 7.11/2.04 % (3153310)------------------------------
% 7.11/2.04 % (3153310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.11/2.04 % (3153310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.84/2.04 % (3153310)CaDiCaL version: 2.1.3
% 8.84/2.04 % (3153310)Termination reason: Instruction limit
% 8.84/2.04 % (3153310)Termination phase: Saturation
% 8.84/2.04 % (3153310)Time elapsed: 0.064 s
% 8.84/2.04 % (3153310)Peak memory usage: 90 MB
% 8.84/2.04 % (3153310)Instructions burned: 107 (million)
% 8.84/2.04 % (3153311)------------------------------
% 8.84/2.04 % (3153311)------------------------------
% 8.84/2.04 % (3153283)First to succeed.
% 8.84/2.04 % (3153283)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3153278"
% 8.84/2.04 % (3153285)Also succeeded, but the first one will report.
% 8.84/2.04 % (3153317)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2746530816:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 8.84/2.04 % (3153318)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3542801610:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 8.84/2.04 % (3153312)Instruction limit reached!
% 8.84/2.04 % (3153312)------------------------------
% 8.84/2.04 % (3153312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.84/2.04 % (3153312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.84/2.04 % (3153312)CaDiCaL version: 2.1.3
% 8.84/2.04 % (3153312)Termination reason: Instruction limit
% 8.84/2.04 % (3153312)Termination phase: Saturation
% 8.84/2.04 % (3153312)Time elapsed: 0.172 s
% 8.84/2.04 % (3153312)Peak memory usage: 90 MB
% 8.84/2.04 % (3153312)Instructions burned: 243 (million)
% 8.84/2.04 % (3153318)Instruction limit reached!
% 8.84/2.04 % (3153318)------------------------------
% 8.84/2.04 % (3153318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.84/2.04 % (3153318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.84/2.04 % (3153318)CaDiCaL version: 2.1.3
% 8.84/2.04 % (3153318)Termination reason: Instruction limit
% 8.84/2.04 % (3153318)Termination phase: Saturation
% 8.84/2.04 % (3153318)Time elapsed: 0.051 s
% 8.84/2.04 % (3153318)Peak memory usage: 90 MB
% 8.84/2.04 % (3153318)Instructions burned: 137 (million)
% 8.84/2.04 % (3153322)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2400645143:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 8.84/2.04 % (3153321)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=314127420:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 8.84/2.04 % (3153283)Refutation found. Thanks to Tanya!
% 8.84/2.04 % SZS status Unsatisfiable for theBenchmark
% 8.84/2.04 % SZS output start Proof for theBenchmark
% See solution above
% 9.01/2.23 % (3153283)------------------------------
% 9.01/2.23 % (3153283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.01/2.23 % (3153283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.01/2.23 % (3153283)CaDiCaL version: 2.1.3
% 9.01/2.23 % (3153283)Termination reason: Refutation
% 9.01/2.23 % (3153283)Time elapsed: 0.776 s
% 9.01/2.23 % (3153283)Peak memory usage: 131 MB
% 9.01/2.23 % (3153283)Instructions burned: 1157 (million)
% 9.01/2.23 % (3153283)------------------------------
% 9.01/2.23 % (3153283)------------------------------
% 9.01/2.23 % (3153278)Success in time 1.19 s
% 9.01/2.23 % Vampire exiting
%------------------------------------------------------------------------------