%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET018+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 12:42:38 PM UTC 2026
% Result : Theorem 8.36s 3.73s
% Output : Refutation 8.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 17
% Syntax : Number of formulae : 167 ( 27 unt; 10 def)
% Number of atoms : 426 ( 103 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 456 ( 197 ~; 234 |; 11 &)
% ( 11 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 11 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 61 ( 0 sgn 51 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2] :
( member(X0,unordered_pair(X1,X2))
<=> ( member(X0,universal_class)
& ( X0 = X1
| X0 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',unordered_pair_defn) ).
fof(f5,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',unordered_pair) ).
fof(f6,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',singleton_set_defn) ).
fof(f7,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',ordered_pair_defn) ).
fof(f16,axiom,
! [X0] : ~ member(X0,null_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',null_class_defn) ).
fof(f41,axiom,
! [X0] :
( X0 != null_class
=> ? [X1] :
( member(X1,universal_class)
& member(X1,X0)
& disjoint(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',regularity) ).
fof(f44,conjecture,
! [X0,X1,X2,X3] :
( ( ordered_pair(X0,X1) = ordered_pair(X2,X3)
& member(X1,universal_class) )
=> X1 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair_determines_components2) ).
fof(f45,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( ordered_pair(X0,X1) = ordered_pair(X2,X3)
& member(X1,universal_class) )
=> X1 = X3 ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f57,plain,
! [X0] :
( ? [X1] :
( member(X1,universal_class)
& member(X1,X0)
& disjoint(X1,X0) )
| null_class = X0 ),
inference(ennf_transformation,[],[f41]) ).
fof(f60,plain,
? [X0,X1,X2,X3] :
( X1 != X3
& ordered_pair(X0,X1) = ordered_pair(X2,X3)
& member(X1,universal_class) ),
inference(ennf_transformation,[],[f45]) ).
fof(f61,plain,
? [X0,X1,X2,X3] :
( X1 != X3
& ordered_pair(X0,X1) = ordered_pair(X2,X3)
& member(X1,universal_class) ),
inference(flattening,[],[f60]) ).
fof(f69,plain,
! [X2,X0,X1] :
( X0 != X2
| ~ member(X0,universal_class)
| member(X0,unordered_pair(X1,X2)) ),
inference(cnf_transformation,[],[f4]) ).
fof(f70,plain,
! [X2,X0,X1] :
( X0 != X1
| ~ member(X0,universal_class)
| member(X0,unordered_pair(X1,X2)) ),
inference(cnf_transformation,[],[f4]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
inference(cnf_transformation,[],[f4]) ).
fof(f73,plain,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f5]) ).
fof(f74,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f75,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
inference(cnf_transformation,[],[f7]) ).
fof(f93,plain,
! [X0] : ~ member(X0,null_class),
inference(cnf_transformation,[],[f16]) ).
fof(f144,plain,
! [X0] :
( member(sK4(X0),X0)
| null_class = X0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f149,plain,
member(sK7,universal_class),
inference(cnf_transformation,[],[f61]) ).
fof(f150,plain,
ordered_pair(sK6,sK7) = ordered_pair(sK8,sK9),
inference(cnf_transformation,[],[f61]) ).
fof(f151,plain,
sK7 != sK9,
inference(cnf_transformation,[],[f61]) ).
fof(f152,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f75,f74,f74]) ).
fof(f189,plain,
unordered_pair(unordered_pair(sK6,sK6),unordered_pair(sK6,unordered_pair(sK7,sK7))) = unordered_pair(unordered_pair(sK8,sK8),unordered_pair(sK8,unordered_pair(sK9,sK9))),
inference(definition_unfolding,[],[f150,f152,f152]) ).
fof(f192,plain,
! [X2,X1] :
( member(X1,unordered_pair(X1,X2))
| ~ member(X1,universal_class) ),
inference(equality_resolution,[],[f70]) ).
fof(f193,plain,
! [X2,X1] :
( member(X2,unordered_pair(X1,X2))
| ~ member(X2,universal_class) ),
inference(equality_resolution,[],[f69]) ).
fof(f258,plain,
( member(unordered_pair(sK8,sK8),unordered_pair(unordered_pair(sK6,sK6),unordered_pair(sK6,unordered_pair(sK7,sK7))))
| ~ member(unordered_pair(sK8,sK8),universal_class) ),
inference(superposition,[],[f192,f189]) ).
fof(f259,plain,
member(unordered_pair(sK8,sK8),unordered_pair(unordered_pair(sK6,sK6),unordered_pair(sK6,unordered_pair(sK7,sK7)))),
inference(forward_subsumption_resolution,[],[f258,f73]) ).
fof(f262,plain,
( member(unordered_pair(sK8,unordered_pair(sK9,sK9)),unordered_pair(unordered_pair(sK6,sK6),unordered_pair(sK6,unordered_pair(sK7,sK7))))
| ~ member(unordered_pair(sK8,unordered_pair(sK9,sK9)),universal_class) ),
inference(superposition,[],[f193,f189]) ).
fof(f263,plain,
member(unordered_pair(sK8,unordered_pair(sK9,sK9)),unordered_pair(unordered_pair(sK6,sK6),unordered_pair(sK6,unordered_pair(sK7,sK7)))),
inference(forward_subsumption_resolution,[],[f262,f73]) ).
fof(f478,plain,
( unordered_pair(sK6,sK6) = unordered_pair(sK8,sK8)
| unordered_pair(sK6,unordered_pair(sK7,sK7)) = unordered_pair(sK8,sK8) ),
inference(resolution,[],[f71,f259]) ).
fof(f479,plain,
( unordered_pair(sK6,sK6) = unordered_pair(sK8,unordered_pair(sK9,sK9))
| unordered_pair(sK6,unordered_pair(sK7,sK7)) = unordered_pair(sK8,unordered_pair(sK9,sK9)) ),
inference(resolution,[],[f71,f263]) ).
fof(f487,plain,
! [X0] :
( ~ member(X0,unordered_pair(unordered_pair(sK6,sK6),unordered_pair(sK6,unordered_pair(sK7,sK7))))
| unordered_pair(sK8,sK8) = X0
| unordered_pair(sK8,unordered_pair(sK9,sK9)) = X0 ),
inference(superposition,[],[f71,f189]) ).
fof(f489,definition,
( spl10_14
<=> unordered_pair(sK6,unordered_pair(sK7,sK7)) = unordered_pair(sK8,unordered_pair(sK9,sK9)) ),
introduced(definition,[new_symbols(definition,[spl10_14])],[avatar_definition]) ).
fof(f490,plain,
( unordered_pair(sK6,unordered_pair(sK7,sK7)) != unordered_pair(sK8,unordered_pair(sK9,sK9))
| spl10_14 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f491,plain,
( unordered_pair(sK6,unordered_pair(sK7,sK7)) = unordered_pair(sK8,unordered_pair(sK9,sK9))
| ~ spl10_14 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f493,definition,
( spl10_15
<=> unordered_pair(sK6,sK6) = unordered_pair(sK8,unordered_pair(sK9,sK9)) ),
introduced(definition,[new_symbols(definition,[spl10_15])],[avatar_definition]) ).
fof(f494,plain,
( unordered_pair(sK6,sK6) != unordered_pair(sK8,unordered_pair(sK9,sK9))
| spl10_15 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f495,plain,
( unordered_pair(sK6,sK6) = unordered_pair(sK8,unordered_pair(sK9,sK9))
| ~ spl10_15 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f496,plain,
( spl10_14
| spl10_15 ),
inference(avatar_split_clause,[],[f479,f493,f489]) ).
fof(f498,definition,
( spl10_16
<=> unordered_pair(sK6,unordered_pair(sK7,sK7)) = unordered_pair(sK8,sK8) ),
introduced(definition,[new_symbols(definition,[spl10_16])],[avatar_definition]) ).
fof(f499,plain,
( unordered_pair(sK6,unordered_pair(sK7,sK7)) != unordered_pair(sK8,sK8)
| spl10_16 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f500,plain,
( unordered_pair(sK6,unordered_pair(sK7,sK7)) = unordered_pair(sK8,sK8)
| ~ spl10_16 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f502,definition,
( spl10_17
<=> unordered_pair(sK6,sK6) = unordered_pair(sK8,sK8) ),
introduced(definition,[new_symbols(definition,[spl10_17])],[avatar_definition]) ).
fof(f503,plain,
( unordered_pair(sK6,sK6) != unordered_pair(sK8,sK8)
| spl10_17 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f504,plain,
( unordered_pair(sK6,sK6) = unordered_pair(sK8,sK8)
| ~ spl10_17 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f505,plain,
( spl10_16
| spl10_17 ),
inference(avatar_split_clause,[],[f478,f502,f498]) ).
fof(f515,plain,
( member(unordered_pair(sK7,sK7),unordered_pair(sK8,sK8))
| ~ member(unordered_pair(sK7,sK7),universal_class)
| ~ spl10_16 ),
inference(superposition,[],[f193,f500]) ).
fof(f519,definition,
( spl10_18
<=> member(sK6,universal_class) ),
introduced(definition,[new_symbols(definition,[spl10_18])],[avatar_definition]) ).
fof(f520,plain,
( member(sK6,universal_class)
| ~ spl10_18 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f521,plain,
( ~ member(sK6,universal_class)
| spl10_18 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f527,plain,
( member(unordered_pair(sK7,sK7),unordered_pair(sK8,sK8))
| ~ spl10_16 ),
inference(forward_subsumption_resolution,[],[f515,f73]) ).
fof(f536,plain,
( member(unordered_pair(sK9,sK9),unordered_pair(sK6,unordered_pair(sK7,sK7)))
| ~ member(unordered_pair(sK9,sK9),universal_class)
| ~ spl10_14 ),
inference(superposition,[],[f193,f491]) ).
fof(f540,plain,
( member(unordered_pair(sK9,sK9),unordered_pair(sK6,unordered_pair(sK7,sK7)))
| ~ spl10_14 ),
inference(forward_subsumption_resolution,[],[f536,f73]) ).
fof(f544,plain,
( member(unordered_pair(sK9,sK9),unordered_pair(sK8,sK8))
| ~ spl10_14
| ~ spl10_16 ),
inference(forward_demodulation,[],[f540,f500]) ).
fof(f555,plain,
( sK8 = unordered_pair(sK7,sK7)
| sK8 = unordered_pair(sK7,sK7)
| ~ spl10_16 ),
inference(resolution,[],[f527,f71]) ).
fof(f559,plain,
( sK8 = unordered_pair(sK7,sK7)
| ~ spl10_16 ),
inference(duplicate_literal_removal,[],[f555]) ).
fof(f566,plain,
( sK8 = unordered_pair(sK9,sK9)
| sK8 = unordered_pair(sK9,sK9)
| ~ spl10_14
| ~ spl10_16 ),
inference(resolution,[],[f544,f71]) ).
fof(f582,plain,
( ! [X0] :
( ~ member(X0,sK8)
| sK7 = X0
| sK7 = X0 )
| ~ spl10_16 ),
inference(superposition,[],[f71,f559]) ).
fof(f584,plain,
( member(sK7,sK8)
| ~ member(sK7,universal_class)
| ~ spl10_16 ),
inference(superposition,[],[f192,f559]) ).
fof(f585,plain,
( member(sK8,universal_class)
| ~ spl10_16 ),
inference(superposition,[],[f73,f559]) ).
fof(f586,plain,
( ! [X0] :
( ~ member(X0,sK8)
| sK7 = X0 )
| ~ spl10_16 ),
inference(duplicate_literal_removal,[],[f582]) ).
fof(f587,plain,
( member(sK7,sK8)
| ~ spl10_16 ),
inference(forward_subsumption_resolution,[],[f584,f149]) ).
fof(f674,definition,
( spl10_20
<=> null_class = sK8 ),
introduced(definition,[new_symbols(definition,[spl10_20])],[avatar_definition]) ).
fof(f675,plain,
( null_class != sK8
| spl10_20 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f676,plain,
( null_class = sK8
| ~ spl10_20 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f702,plain,
( unordered_pair(sK8,sK8) != unordered_pair(sK8,unordered_pair(sK9,sK9))
| spl10_14
| ~ spl10_16 ),
inference(forward_demodulation,[],[f490,f500]) ).
fof(f739,plain,
( sK7 = sK4(sK8)
| null_class = sK8
| ~ spl10_16 ),
inference(resolution,[],[f586,f144]) ).
fof(f744,definition,
( spl10_28
<=> sK7 = sK4(sK8) ),
introduced(definition,[new_symbols(definition,[spl10_28])],[avatar_definition]) ).
fof(f746,plain,
( sK7 = sK4(sK8)
| ~ spl10_28 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f776,plain,
( ! [X0] :
( ~ member(X0,unordered_pair(sK6,sK6))
| sK8 = X0
| sK8 = X0 )
| ~ spl10_17 ),
inference(superposition,[],[f71,f504]) ).
fof(f777,plain,
( member(sK8,unordered_pair(sK6,sK6))
| ~ member(sK8,universal_class)
| ~ spl10_17 ),
inference(superposition,[],[f193,f504]) ).
fof(f780,plain,
( ! [X0] :
( ~ member(X0,unordered_pair(sK6,sK6))
| sK8 = X0 )
| ~ spl10_17 ),
inference(duplicate_literal_removal,[],[f776]) ).
fof(f782,definition,
( spl10_34
<=> member(sK8,universal_class) ),
introduced(definition,[new_symbols(definition,[spl10_34])],[avatar_definition]) ).
fof(f783,plain,
( member(sK8,universal_class)
| ~ spl10_34 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f784,plain,
( ~ member(sK8,universal_class)
| spl10_34 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f786,definition,
( spl10_35
<=> member(sK8,unordered_pair(sK6,sK6)) ),
introduced(definition,[new_symbols(definition,[spl10_35])],[avatar_definition]) ).
fof(f788,plain,
( member(sK8,unordered_pair(sK6,sK6))
| ~ spl10_35 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f790,plain,
( ~ spl10_34
| spl10_35
| ~ spl10_17 ),
inference(avatar_split_clause,[],[f777,f502,f786,f782]) ).
fof(f799,plain,
( member(unordered_pair(sK9,sK9),unordered_pair(sK6,sK6))
| ~ member(unordered_pair(sK9,sK9),universal_class)
| ~ spl10_15 ),
inference(superposition,[],[f193,f495]) ).
fof(f800,plain,
( member(sK8,unordered_pair(sK6,sK6))
| ~ member(sK8,universal_class)
| ~ spl10_15 ),
inference(superposition,[],[f192,f495]) ).
fof(f802,plain,
( member(unordered_pair(sK9,sK9),unordered_pair(sK6,sK6))
| ~ spl10_15 ),
inference(forward_subsumption_resolution,[],[f799,f73]) ).
fof(f820,plain,
( sK6 = unordered_pair(sK9,sK9)
| sK6 = unordered_pair(sK9,sK9)
| ~ spl10_15 ),
inference(resolution,[],[f802,f71]) ).
fof(f824,plain,
( sK6 = unordered_pair(sK9,sK9)
| ~ spl10_15 ),
inference(duplicate_literal_removal,[],[f820]) ).
fof(f826,plain,
( sK6 = sK8
| ~ member(sK6,universal_class)
| ~ spl10_17 ),
inference(resolution,[],[f780,f193]) ).
fof(f864,plain,
( spl10_20
| spl10_28
| ~ spl10_16 ),
inference(avatar_split_clause,[],[f739,f498,f744,f674]) ).
fof(f867,plain,
( $false
| ~ spl10_16
| spl10_34 ),
inference(forward_subsumption_resolution,[],[f585,f784]) ).
fof(f868,plain,
( ~ spl10_16
| spl10_34 ),
inference(avatar_contradiction_clause,[],[f867]) ).
fof(f925,plain,
( member(sK7,null_class)
| ~ spl10_16
| ~ spl10_20 ),
inference(superposition,[],[f587,f676]) ).
fof(f926,plain,
( $false
| ~ spl10_16
| ~ spl10_20 ),
inference(forward_subsumption_resolution,[],[f925,f93]) ).
fof(f927,plain,
( ~ spl10_16
| ~ spl10_20 ),
inference(avatar_contradiction_clause,[],[f926]) ).
fof(f931,plain,
( member(sK8,unordered_pair(sK6,sK6))
| ~ spl10_15
| ~ spl10_34 ),
inference(forward_subsumption_resolution,[],[f800,f783]) ).
fof(f933,plain,
( spl10_35
| ~ spl10_15
| ~ spl10_34 ),
inference(avatar_split_clause,[],[f931,f782,f493,f786]) ).
fof(f934,plain,
( sK8 = unordered_pair(sK9,sK9)
| ~ spl10_14
| ~ spl10_16 ),
inference(duplicate_literal_removal,[],[f566]) ).
fof(f1105,plain,
( ! [X0] :
( ~ member(X0,sK8)
| sK9 = X0
| sK9 = X0 )
| ~ spl10_14
| ~ spl10_16 ),
inference(superposition,[],[f71,f934]) ).
fof(f1300,definition,
( spl10_49
<=> sK6 = unordered_pair(sK9,sK9) ),
introduced(definition,[new_symbols(definition,[spl10_49])],[avatar_definition]) ).
fof(f1301,plain,
( sK6 != unordered_pair(sK9,sK9)
| spl10_49 ),
inference(avatar_component_clause,[],[f1300]) ).
fof(f1302,plain,
( sK6 = unordered_pair(sK9,sK9)
| ~ spl10_49 ),
inference(avatar_component_clause,[],[f1300]) ).
fof(f1369,plain,
( unordered_pair(sK6,sK6) != unordered_pair(sK6,unordered_pair(sK7,sK7))
| spl10_16
| ~ spl10_17 ),
inference(forward_demodulation,[],[f499,f504]) ).
fof(f1397,plain,
( member(sK7,sK8)
| null_class = sK8
| ~ spl10_28 ),
inference(superposition,[],[f144,f746]) ).
fof(f1400,plain,
( member(sK7,sK8)
| spl10_20
| ~ spl10_28 ),
inference(forward_subsumption_resolution,[],[f1397,f675]) ).
fof(f1426,plain,
( unordered_pair(sK6,sK6) = unordered_pair(sK8,sK8)
| unordered_pair(sK6,sK6) = unordered_pair(sK8,unordered_pair(sK9,sK9))
| ~ member(unordered_pair(sK6,sK6),universal_class) ),
inference(resolution,[],[f487,f192]) ).
fof(f1427,plain,
( unordered_pair(sK6,unordered_pair(sK7,sK7)) = unordered_pair(sK8,sK8)
| unordered_pair(sK6,unordered_pair(sK7,sK7)) = unordered_pair(sK8,unordered_pair(sK9,sK9))
| ~ member(unordered_pair(sK6,unordered_pair(sK7,sK7)),universal_class) ),
inference(resolution,[],[f487,f193]) ).
fof(f1444,plain,
( unordered_pair(sK6,unordered_pair(sK7,sK7)) = unordered_pair(sK8,sK8)
| unordered_pair(sK6,unordered_pair(sK7,sK7)) = unordered_pair(sK8,unordered_pair(sK9,sK9)) ),
inference(forward_subsumption_resolution,[],[f1427,f73]) ).
fof(f2042,plain,
( sK6 = sK8
| ~ spl10_17
| ~ spl10_18 ),
inference(forward_subsumption_resolution,[],[f826,f520]) ).
fof(f2168,plain,
( sK6 = unordered_pair(sK9,sK9)
| unordered_pair(sK7,sK7) = unordered_pair(sK9,sK9)
| ~ spl10_14 ),
inference(resolution,[],[f540,f71]) ).
fof(f2172,plain,
( unordered_pair(sK7,sK7) = unordered_pair(sK9,sK9)
| ~ spl10_14
| spl10_49 ),
inference(forward_subsumption_resolution,[],[f2168,f1301]) ).
fof(f2631,plain,
( sK6 = sK8
| sK6 = sK8
| ~ spl10_35 ),
inference(resolution,[],[f788,f71]) ).
fof(f2634,plain,
( sK6 = sK8
| ~ spl10_35 ),
inference(duplicate_literal_removal,[],[f2631]) ).
fof(f2665,plain,
( member(sK7,sK6)
| spl10_20
| ~ spl10_28
| ~ spl10_35 ),
inference(superposition,[],[f1400,f2634]) ).
fof(f4012,plain,
( ! [X0] :
( ~ member(X0,unordered_pair(sK7,sK7))
| sK9 = X0
| sK9 = X0 )
| ~ spl10_14
| spl10_49 ),
inference(superposition,[],[f71,f2172]) ).
fof(f4022,plain,
( ! [X0] :
( ~ member(X0,unordered_pair(sK7,sK7))
| sK9 = X0 )
| ~ spl10_14
| spl10_49 ),
inference(duplicate_literal_removal,[],[f4012]) ).
fof(f4175,plain,
( sK7 = sK9
| ~ member(sK7,universal_class)
| ~ spl10_14
| spl10_49 ),
inference(resolution,[],[f4022,f192]) ).
fof(f4201,plain,
( ~ member(sK7,universal_class)
| ~ spl10_14
| spl10_49 ),
inference(forward_subsumption_resolution,[],[f4175,f151]) ).
fof(f4205,plain,
( $false
| ~ spl10_14
| spl10_49 ),
inference(forward_subsumption_resolution,[],[f4201,f149]) ).
fof(f4206,plain,
( ~ spl10_14
| spl10_49 ),
inference(avatar_contradiction_clause,[],[f4205]) ).
fof(f4249,plain,
( member(sK6,universal_class)
| ~ spl10_49 ),
inference(superposition,[],[f73,f1302]) ).
fof(f4264,plain,
( $false
| spl10_18
| ~ spl10_49 ),
inference(forward_subsumption_resolution,[],[f4249,f521]) ).
fof(f4265,plain,
( spl10_18
| ~ spl10_49 ),
inference(avatar_contradiction_clause,[],[f4264]) ).
fof(f4278,plain,
( spl10_49
| ~ spl10_15 ),
inference(avatar_split_clause,[],[f824,f493,f1300]) ).
fof(f4600,plain,
( unordered_pair(sK8,sK8) != unordered_pair(sK8,sK6)
| spl10_14
| ~ spl10_16
| ~ spl10_49 ),
inference(forward_demodulation,[],[f702,f1302]) ).
fof(f4763,plain,
( unordered_pair(sK6,sK6) = unordered_pair(sK8,unordered_pair(sK9,sK9))
| ~ member(unordered_pair(sK6,sK6),universal_class)
| spl10_17 ),
inference(forward_subsumption_resolution,[],[f1426,f503]) ).
fof(f4804,plain,
( unordered_pair(sK6,sK6) != unordered_pair(sK6,sK6)
| spl10_14
| ~ spl10_16
| ~ spl10_35
| ~ spl10_49 ),
inference(forward_demodulation,[],[f4600,f2634]) ).
fof(f4805,plain,
( $false
| spl10_14
| ~ spl10_16
| ~ spl10_35
| ~ spl10_49 ),
inference(trivial_inequality_removal,[],[f4804]) ).
fof(f4806,plain,
( spl10_14
| ~ spl10_16
| ~ spl10_35
| ~ spl10_49 ),
inference(avatar_contradiction_clause,[],[f4805]) ).
fof(f4812,plain,
( unordered_pair(sK6,sK6) = unordered_pair(sK8,unordered_pair(sK9,sK9))
| spl10_17 ),
inference(forward_subsumption_resolution,[],[f4763,f73]) ).
fof(f4837,plain,
( unordered_pair(sK6,sK6) = unordered_pair(sK8,sK6)
| spl10_17
| ~ spl10_49 ),
inference(forward_demodulation,[],[f4812,f1302]) ).
fof(f4877,plain,
( ! [X0] :
( ~ member(X0,sK8)
| sK9 = X0 )
| ~ spl10_14
| ~ spl10_16 ),
inference(duplicate_literal_removal,[],[f1105]) ).
fof(f4893,plain,
( ! [X0] :
( ~ member(X0,sK6)
| sK9 = X0 )
| ~ spl10_14
| ~ spl10_16
| ~ spl10_35 ),
inference(forward_demodulation,[],[f4877,f2634]) ).
fof(f5500,plain,
( sK7 = sK9
| ~ spl10_14
| ~ spl10_16
| spl10_20
| ~ spl10_28
| ~ spl10_35 ),
inference(resolution,[],[f4893,f2665]) ).
fof(f5509,plain,
( $false
| ~ spl10_14
| ~ spl10_16
| spl10_20
| ~ spl10_28
| ~ spl10_35 ),
inference(forward_subsumption_resolution,[],[f5500,f151]) ).
fof(f5510,plain,
( ~ spl10_14
| ~ spl10_16
| spl10_20
| ~ spl10_28
| ~ spl10_35 ),
inference(avatar_contradiction_clause,[],[f5509]) ).
fof(f5514,plain,
( unordered_pair(sK6,sK6) != unordered_pair(sK8,sK6)
| spl10_15
| ~ spl10_49 ),
inference(forward_demodulation,[],[f494,f1302]) ).
fof(f5582,plain,
( $false
| spl10_15
| spl10_17
| ~ spl10_49 ),
inference(forward_subsumption_resolution,[],[f5514,f4837]) ).
fof(f5583,plain,
( spl10_15
| spl10_17
| ~ spl10_49 ),
inference(avatar_contradiction_clause,[],[f5582]) ).
fof(f5712,plain,
( unordered_pair(sK6,unordered_pair(sK7,sK7)) = unordered_pair(sK8,unordered_pair(sK9,sK9))
| spl10_16 ),
inference(forward_subsumption_resolution,[],[f1444,f499]) ).
fof(f5758,plain,
( unordered_pair(sK6,unordered_pair(sK7,sK7)) = unordered_pair(sK8,sK6)
| spl10_16
| ~ spl10_49 ),
inference(forward_demodulation,[],[f5712,f1302]) ).
fof(f5784,plain,
( unordered_pair(sK6,sK6) = unordered_pair(sK6,unordered_pair(sK7,sK7))
| spl10_16
| ~ spl10_17
| ~ spl10_18
| ~ spl10_49 ),
inference(forward_demodulation,[],[f5758,f2042]) ).
fof(f5791,plain,
( $false
| spl10_16
| ~ spl10_17
| ~ spl10_18
| ~ spl10_49 ),
inference(forward_subsumption_resolution,[],[f5784,f1369]) ).
fof(f5792,plain,
( spl10_16
| ~ spl10_17
| ~ spl10_18
| ~ spl10_49 ),
inference(avatar_contradiction_clause,[],[f5791]) ).
cnf(s10,plain,
( spl10_14
| spl10_15 ),
inference(sat_conversion,[],[f496]) ).
cnf(s11,plain,
( spl10_16
| spl10_17 ),
inference(sat_conversion,[],[f505]) ).
cnf(s24,plain,
( ~ spl10_17
| ~ spl10_34
| spl10_35 ),
inference(sat_conversion,[],[f790]) ).
cnf(s32,plain,
( ~ spl10_16
| spl10_20
| spl10_28 ),
inference(sat_conversion,[],[f864]) ).
cnf(s34,plain,
( ~ spl10_16
| spl10_34 ),
inference(sat_conversion,[],[f868]) ).
cnf(s35,plain,
( ~ spl10_16
| ~ spl10_20 ),
inference(sat_conversion,[],[f927]) ).
cnf(s36,plain,
( ~ spl10_15
| ~ spl10_34
| spl10_35 ),
inference(sat_conversion,[],[f933]) ).
cnf(s189,plain,
( ~ spl10_14
| spl10_49 ),
inference(sat_conversion,[],[f4206]) ).
cnf(s193,plain,
( spl10_18
| ~ spl10_49 ),
inference(sat_conversion,[],[f4265]) ).
cnf(s195,plain,
( ~ spl10_15
| spl10_49 ),
inference(sat_conversion,[],[f4278]) ).
cnf(s212,plain,
( spl10_14
| ~ spl10_16
| ~ spl10_35
| ~ spl10_49 ),
inference(sat_conversion,[],[f4806]) ).
cnf(s248,plain,
( ~ spl10_14
| ~ spl10_16
| spl10_20
| ~ spl10_28
| ~ spl10_35 ),
inference(sat_conversion,[],[f5510]) ).
cnf(s254,plain,
( spl10_15
| spl10_17
| ~ spl10_49 ),
inference(sat_conversion,[],[f5583]) ).
cnf(s280,plain,
( spl10_16
| ~ spl10_17
| ~ spl10_18
| ~ spl10_49 ),
inference(sat_conversion,[],[f5792]) ).
cnf(s285,plain,
( spl10_16
| ~ spl10_49
| ~ spl10_18 ),
inference(rat,[],[s11,s280]) ).
cnf(s286,plain,
spl10_14,
inference(rat,[],[s36,s212,s34,s285,s193,s195,s10]) ).
cnf(s287,plain,
spl10_49,
inference(rat,[],[s189,s286]) ).
cnf(s288,plain,
spl10_18,
inference(rat,[],[s193,s287]) ).
cnf(s289,plain,
spl10_16,
inference(rat,[],[s285,s288,s287]) ).
cnf(s291,plain,
~ spl10_20,
inference(rat,[],[s35,s289]) ).
cnf(s292,plain,
spl10_34,
inference(rat,[],[s34,s289]) ).
cnf(s295,plain,
spl10_28,
inference(rat,[],[s32,s289,s291]) ).
cnf(s300,plain,
~ spl10_35,
inference(rat,[],[s248,s291,s289,s286,s295]) ).
cnf(s301,plain,
~ spl10_17,
inference(rat,[],[s24,s292,s300]) ).
cnf(s302,plain,
~ spl10_15,
inference(rat,[],[s36,s292,s300]) ).
cnf(s304,plain,
$false,
inference(rat,[],[s254,s287,s301,s302]) ).
fof(f5821,plain,
$false,
inference(avatar_sat_refutation,[],[s304]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET018+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n009.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 00:08:45 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.53/2.68 % (2555172)Will run a generic schedule for satisfiability detection.
% 15.53/2.68 % (2555178)% WARNING: option uhcvi not known.
% 15.53/2.68 % (2555183)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3385914526:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.53/2.68 % (2555177)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=142779856_2999 on theBenchmark for (2999ds/0Mi)
% 15.53/2.68 % (2555180)dis+10_1_sil=32000:sp=arity:random_seed=38431562:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.53/2.68 % (2555178)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=469505751:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.53/2.68 % (2555181)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1114159274:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.53/2.68 % (2555179)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4062528889:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.53/2.68 % (2555182)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1166297140:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.53/2.68 % TRYING [1]
% 15.53/2.68 % TRYING [2]
% 15.53/2.68 % TRYING [3]
% 15.53/2.68 % (2555183)Instruction limit reached!
% 15.53/2.68 % (2555183)------------------------------
% 15.53/2.68 % (2555183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.53/2.68 % (2555183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.53/2.68 % (2555183)CaDiCaL version: 2.1.3
% 15.53/2.68 % (2555183)Termination reason: Instruction limit
% 15.53/2.68 % (2555183)Termination phase: Saturation
% 15.53/2.68 % (2555183)Time elapsed: 0.061 s
% 15.53/2.68 % (2555183)Peak memory usage: 14 MB
% 15.53/2.68 % (2555183)Instructions burned: 160 (million)
% 15.53/2.68 % (2555180)Instruction limit reached!
% 15.53/2.68 % (2555180)------------------------------
% 15.53/2.68 % (2555180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.53/2.68 % (2555180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.53/2.68 % (2555180)CaDiCaL version: 2.1.3
% 15.53/2.68 % (2555180)Termination reason: Instruction limit
% 15.53/2.68 % (2555180)Termination phase: Saturation
% 15.53/2.68 % (2555180)Time elapsed: 0.068 s
% 15.53/2.68 % (2555180)Peak memory usage: 13 MB
% 15.53/2.68 % (2555180)Instructions burned: 104 (million)
% 15.53/2.68 % (2555181)Instruction limit reached!
% 15.53/2.68 % (2555181)------------------------------
% 15.53/2.68 % (2555181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.53/2.68 % (2555181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.53/2.68 % (2555181)CaDiCaL version: 2.1.3
% 15.53/2.68 % (2555181)Termination reason: Instruction limit
% 15.53/2.68 % (2555181)Termination phase: Saturation
% 15.53/2.68 % (2555181)Time elapsed: 0.068 s
% 15.53/2.68 % (2555181)Peak memory usage: 13 MB
% 15.53/2.68 % (2555181)Instructions burned: 116 (million)
% 15.53/2.68 % (2555191)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1493573021:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.53/2.68 % (2555182)Instruction limit reached!
% 15.53/2.68 % (2555182)------------------------------
% 15.53/2.68 % (2555182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.53/2.68 % (2555182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.53/2.68 % (2555182)CaDiCaL version: 2.1.3
% 15.53/2.68 % (2555182)Termination reason: Instruction limit
% 15.53/2.68 % (2555182)Termination phase: Saturation
% 15.53/2.68 % (2555182)Time elapsed: 0.075 s
% 15.53/2.68 % (2555182)Peak memory usage: 13 MB
% 15.53/2.68 % (2555182)Instructions burned: 132 (million)
% 15.53/2.68 % TRYING [1]
% 15.53/2.68 % TRYING [2]
% 15.53/2.68 % (2555192)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2428511473:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.53/2.68 % (2555193)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1237019672:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.53/2.68 % TRYING [3]
% 15.53/2.68 % TRYING [4]
% 15.53/2.68 % (2555195)ott-21_1_sil=16000:fs=off:random_seed=3353579097:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.53/2.68 % TRYING [4]
% 15.53/2.68 % (2555192)Instruction limit reached!
% 15.53/2.68 % (2555192)------------------------------
% 15.53/2.68 % (2555192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.53/2.68 % (2555192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/3.72 % (2555192)CaDiCaL version: 2.1.3
% 8.36/3.72 % (2555192)Termination reason: Instruction limit
% 8.36/3.72 % (2555192)Termination phase: Saturation
% 8.36/3.72 % (2555192)Time elapsed: 0.076 s
% 8.36/3.72 % (2555192)Peak memory usage: 13 MB
% 8.36/3.72 % (2555192)Instructions burned: 132 (million)
% 8.36/3.72 % (2555199)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3998109689:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 8.36/3.72 % (2555195)Instruction limit reached!
% 8.36/3.72 % (2555195)------------------------------
% 8.36/3.72 % (2555195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.36/3.72 % (2555195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/3.72 % (2555195)CaDiCaL version: 2.1.3
% 8.36/3.72 % (2555195)Termination reason: Instruction limit
% 8.36/3.72 % (2555195)Termination phase: Saturation
% 8.36/3.72 % (2555195)Time elapsed: 0.096 s
% 8.36/3.72 % (2555195)Peak memory usage: 12 MB
% 8.36/3.72 % (2555195)Instructions burned: 180 (million)
% 8.36/3.72 % (2555201)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2807565465:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.36/3.72 % TRYING [5]
% 8.36/3.72 % (2555191)Instruction limit reached!
% 8.36/3.72 % (2555191)------------------------------
% 8.36/3.72 % (2555191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.36/3.72 % (2555191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/3.72 % (2555191)CaDiCaL version: 2.1.3
% 8.36/3.72 % (2555191)Termination reason: Instruction limit
% 8.36/3.72 % (2555191)Termination phase: Finite model building constraint generation
% 8.36/3.72 % (2555191)Time elapsed: 0.156 s
% 8.36/3.72 % (2555191)Peak memory usage: 40 MB
% 8.36/3.72 % (2555191)Instructions burned: 719 (million)
% 8.36/3.72 % (2555203)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1918328700:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 8.36/3.72 % TRYING [1]
% 8.36/3.72 % TRYING [2]
% 8.36/3.72 % TRYING [5]
% 8.36/3.72 % TRYING [3]
% 8.36/3.72 % TRYING [4]
% 8.36/3.72 % (2555193)Instruction limit reached!
% 8.36/3.72 % (2555193)------------------------------
% 8.36/3.72 % (2555193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.36/3.72 % (2555193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/3.72 % (2555193)CaDiCaL version: 2.1.3
% 8.36/3.72 % (2555193)Termination reason: Instruction limit
% 8.36/3.72 % (2555193)Termination phase: Saturation
% 8.36/3.72 % (2555193)Time elapsed: 0.421 s
% 8.36/3.72 % (2555193)Peak memory usage: 19 MB
% 8.36/3.72 % (2555193)Instructions burned: 684 (million)
% 8.36/3.72 % (2555199)Instruction limit reached!
% 8.36/3.72 % (2555199)------------------------------
% 8.36/3.72 % (2555199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.36/3.72 % (2555199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/3.72 % (2555199)CaDiCaL version: 2.1.3
% 8.36/3.72 % (2555199)Termination reason: Instruction limit
% 8.36/3.72 % (2555199)Termination phase: Saturation
% 8.36/3.72 % (2555199)Time elapsed: 0.331 s
% 8.36/3.72 % (2555199)Peak memory usage: 14 MB
% 8.36/3.72 % (2555199)Instructions burned: 477 (million)
% 8.36/3.72 % (2555205)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1834427150:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 8.36/3.72 % (2555206)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=652237035:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 8.36/3.73 % (2555201)Instruction limit reached!
% 8.36/3.73 % (2555201)------------------------------
% 8.36/3.73 % (2555201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.36/3.73 % (2555201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/3.73 % (2555201)CaDiCaL version: 2.1.3
% 8.36/3.73 % (2555201)Termination reason: Instruction limit
% 8.36/3.73 % (2555201)Termination phase: Finite model building SAT solving
% 8.36/3.73 % (2555201)Time elapsed: 0.358 s
% 8.36/3.73 % (2555201)Peak memory usage: 34 MB
% 8.36/3.73 % (2555201)Instructions burned: 865 (million)
% 8.36/3.73 % (2555209)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=532608675:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 8.36/3.73 % (2555203)Instruction limit reached!
% 8.36/3.73 % (2555203)------------------------------
% 8.36/3.73 % (2555203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.36/3.73 % (2555203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/3.73 % (2555203)CaDiCaL version: 2.1.3
% 8.36/3.73 % (2555203)Termination reason: Instruction limit
% 8.36/3.73 % (2555203)Termination phase: Saturation
% 8.36/3.73 % (2555203)Time elapsed: 0.375 s
% 8.36/3.73 % (2555203)Peak memory usage: 22 MB
% 8.36/3.73 % (2555203)Instructions burned: 1182 (million)
% 8.36/3.73 % (2555211)fmb+10_1_sil=64000:random_seed=1052623395:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 8.36/3.73 % TRYING [1]
% 8.36/3.73 % TRYING [2]
% 8.36/3.73 % TRYING [3]
% 8.36/3.73 % TRYING [4]
% 8.36/3.73 % TRYING [6]
% 8.36/3.73 % (2555206)Instruction limit reached!
% 8.36/3.73 % (2555206)------------------------------
% 8.36/3.73 % (2555206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.36/3.73 % (2555206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/3.73 % (2555206)CaDiCaL version: 2.1.3
% 8.36/3.73 % (2555206)Termination reason: Instruction limit
% 8.36/3.73 % (2555206)Termination phase: Saturation
% 8.36/3.73 % (2555206)Time elapsed: 0.400 s
% 8.36/3.73 % (2555206)Peak memory usage: 17 MB
% 8.36/3.73 % (2555206)Instructions burned: 692 (million)
% 8.36/3.73 % (2555205)Instruction limit reached!
% 8.36/3.73 % (2555205)------------------------------
% 8.36/3.73 % (2555205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.36/3.73 % (2555205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/3.73 % (2555205)CaDiCaL version: 2.1.3
% 8.36/3.73 % (2555205)Termination reason: Instruction limit
% 8.36/3.73 % (2555205)Termination phase: Finite model building constraint generation
% 8.36/3.73 % (2555205)Time elapsed: 0.406 s
% 8.36/3.73 % (2555205)Peak memory usage: 103 MB
% 8.36/3.73 % (2555205)Instructions burned: 890 (million)
% 8.36/3.73 % (2555213)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2513512272:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 8.36/3.73 % (2555214)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3433018544:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 8.36/3.73 % TRYING [20]
% 8.36/3.73 % TRYING [8]
% 8.36/3.73 % TRYING [5]
% 8.36/3.73 % (2555209)Instruction limit reached!
% 8.36/3.73 % (2555209)------------------------------
% 8.36/3.73 % (2555209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.36/3.73 % (2555209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/3.73 % (2555209)CaDiCaL version: 2.1.3
% 8.36/3.73 % (2555209)Termination reason: Instruction limit
% 8.36/3.73 % (2555209)Termination phase: Saturation
% 8.36/3.73 % (2555209)Time elapsed: 0.495 s
% 8.36/3.73 % (2555209)Peak memory usage: 19 MB
% 8.36/3.73 % (2555209)Instructions burned: 881 (million)
% 8.36/3.73 % (2555217)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=240994595:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 8.36/3.73 % (2555214)Instruction limit reached!
% 8.36/3.73 % (2555214)------------------------------
% 8.36/3.73 % (2555214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.36/3.73 % (2555214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/3.73 % (2555214)CaDiCaL version: 2.1.3
% 8.36/3.73 % (2555214)Termination reason: Instruction limit
% 8.36/3.73 % (2555214)Termination phase: Finite model building constraint generation
% 8.36/3.73 % (2555214)Time elapsed: 0.329 s
% 8.36/3.73 % (2555214)Peak memory usage: 76 MB
% 8.36/3.73 % (2555214)Instructions burned: 920 (million)
% 8.36/3.73 % (2555219)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1104761672:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 8.36/3.73 % TRYING [6]
% 8.36/3.73 % TRYING [7]
% 8.36/3.73 % (2555219)Instruction limit reached!
% 8.36/3.73 % (2555219)------------------------------
% 8.36/3.73 % (2555219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.36/3.73 % (2555219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/3.73 % (2555219)CaDiCaL version: 2.1.3
% 8.36/3.73 % (2555219)Termination reason: Instruction limit
% 8.36/3.73 % (2555219)Termination phase: Saturation
% 8.36/3.73 % (2555219)Time elapsed: 0.867 s
% 8.36/3.73 % (2555219)Peak memory usage: 26 MB
% 8.36/3.73 % (2555219)Instructions burned: 1473 (million)
% 8.36/3.73 % (2555221)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2550743302:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 8.36/3.73 % (2555221)Cannot represent all propositional literals internally
% 8.36/3.73 % (2555221)Refutation not found, incomplete strategy
% 8.36/3.73 % (2555221)------------------------------
% 8.36/3.73 % (2555221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.36/3.73 % (2555221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/3.73 % (2555221)CaDiCaL version: 2.1.3
% 8.36/3.73 % (2555221)Termination reason: Refutation not found, incomplete strategy
% 8.36/3.73 % (2555221)Time elapsed: 0.029 s
% 8.36/3.73 % (2555221)Peak memory usage: 11 MB
% 8.36/3.73 % (2555221)Instructions burned: 59 (million)
% 8.36/3.73 % (2555221)------------------------------
% 8.36/3.73 % (2555221)------------------------------
% 8.36/3.73 % (2555223)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1980324595:fmbsr=2.30978:i=2174_2977 on theBenchmark for (2977ds/2174Mi)
% 8.36/3.73 % TRYING [16]
% 8.36/3.73 % (2555223)Instruction limit reached!
% 8.36/3.73 % (2555223)------------------------------
% 8.36/3.73 % (2555223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.36/3.73 % (2555223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/3.73 % (2555223)CaDiCaL version: 2.1.3
% 8.36/3.73 % (2555223)Termination reason: Instruction limit
% 8.36/3.73 % (2555223)Termination phase: Finite model building constraint generation
% 8.36/3.73 % (2555223)Time elapsed: 0.788 s
% 8.36/3.73 % (2555223)Peak memory usage: 123 MB
% 8.36/3.73 % (2555223)Instructions burned: 2174 (million)
% 8.36/3.73 % (2555225)ott-2_1_sil=16000:newcnf=on:random_seed=640702898:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2969 on theBenchmark for (2969ds/869Mi)
% 8.36/3.73 % (2555225) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2555172-2555225"...
% 8.36/3.73 % (2555225)...printing done.
% 8.36/3.73 % (2555225)Refutation found. Thanks to Tanya!
% 8.36/3.73 % SZS status Theorem for theBenchmark
% 8.36/3.73 % SZS output start Proof for theBenchmark
% See solution above
% 8.36/3.73 % (2555225)------------------------------
% 8.36/3.73 % (2555225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.36/3.73 % (2555225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/3.73 % (2555225)CaDiCaL version: 2.1.3
% 8.36/3.73 % (2555225)Termination reason: Refutation
% 8.36/3.73 % (2555225)Time elapsed: 0.140 s
% 8.36/3.73 % (2555225)Peak memory usage: 14 MB
% 8.36/3.73 % (2555225)Instructions burned: 234 (million)
% 8.36/3.73 % (2555172)Success in time 3.32 s
% 8.36/3.73 % Vampire exiting
%------------------------------------------------------------------------------