%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET098+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 12:40:06 PM UTC 2026
% Result : Theorem 6.86s 2.03s
% Output : Refutation 8.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 11
% Syntax : Number of formulae : 100 ( 24 unt; 2 def)
% Number of atoms : 265 ( 55 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 259 ( 94 ~; 113 |; 42 &)
% ( 8 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 156 ( 0 sgn 145 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_defn) ).
fof(f2,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f3,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subclass(X0,X1)
& subclass(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality) ).
fof(f4,axiom,
! [X0,X1,X2] :
( member(X0,unordered_pair(X1,X2))
<=> ( member(X0,universal_class)
& ( X0 = X1
| X0 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_defn) ).
fof(f6,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set_defn) ).
fof(f13,axiom,
! [X0,X1,X2] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X0)
& member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection) ).
fof(f14,axiom,
! [X0,X1] :
( member(X1,complement(X0))
<=> ( member(X1,universal_class)
& ~ member(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement) ).
fof(f41,axiom,
! [X0] :
( X0 != null_class
=> ? [X1] :
( member(X1,universal_class)
& member(X1,X0)
& disjoint(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity) ).
fof(f44,conjecture,
! [X0] :
( X0 = null_class
| ? [X1] : singleton(X1) = X0
| ? [X2] :
( member(X2,X0)
& ? [X3] :
( member(X3,intersection(complement(singleton(X2)),X0))
& member(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_1_to_number_of_elements_in_class) ).
fof(f45,negated_conjecture,
~ ! [X0] :
( X0 = null_class
| ? [X1] : singleton(X1) = X0
| ? [X2] :
( member(X2,X0)
& ? [X3] :
( member(X3,intersection(complement(singleton(X2)),X0))
& member(X3,X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f46,plain,
? [X0] :
( null_class != X0
& ! [X1] : singleton(X1) != X0
& ! [X2] :
( ~ member(X2,X0)
| ! [X3] :
( ~ member(X3,intersection(complement(singleton(X2)),X0))
| ~ member(X3,X0) ) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f49,plain,
! [X0] :
( ? [X1] :
( member(X1,universal_class)
& member(X1,X0)
& disjoint(X1,X0) )
| null_class = X0 ),
inference(ennf_transformation,[],[f41]) ).
fof(f57,plain,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f59,plain,
( null_class != sK0
& ! [X1] : singleton(X1) != sK0
& ! [X2] :
( ~ member(X2,sK0)
| ! [X3] :
( ~ member(X3,intersection(complement(singleton(X2)),sK0))
| ~ member(X3,sK0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f46]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) )
& ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) )
& ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( ( member(X1,complement(X0))
| ~ member(X1,universal_class)
| member(X1,X0) )
& ( ( member(X1,universal_class)
& ~ member(X1,X0) )
| ~ member(X1,complement(X0)) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f67,plain,
! [X0,X1] :
( ( member(X1,complement(X0))
| ~ member(X1,universal_class)
| member(X1,X0) )
& ( ( member(X1,universal_class)
& ~ member(X1,X0) )
| ~ member(X1,complement(X0)) ) ),
inference(flattening,[],[f66]) ).
fof(f69,plain,
! [X0] :
( ( member(sK2(X0),universal_class)
& member(sK2(X0),X0)
& disjoint(sK2(X0),X0) )
| null_class = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f49]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ( member(X0,unordered_pair(X1,X2))
| ~ member(X0,universal_class)
| ( X0 != X1
& X0 != X2 ) )
& ( ( member(X0,universal_class)
& ( X0 = X1
| X0 = X2 ) )
| ~ member(X0,unordered_pair(X1,X2)) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ( member(X0,unordered_pair(X1,X2))
| ~ member(X0,universal_class)
| ( X0 != X1
& X0 != X2 ) )
& ( ( member(X0,universal_class)
& ( X0 = X1
| X0 = X2 ) )
| ~ member(X0,unordered_pair(X1,X2)) ) ),
inference(flattening,[],[f92]) ).
fof(f97,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subclass(X0,X1)
| ~ subclass(X1,X0) )
& ( ( subclass(X0,X1)
& subclass(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f98,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subclass(X0,X1)
| ~ subclass(X1,X0) )
& ( ( subclass(X0,X1)
& subclass(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f97]) ).
fof(f99,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subclass(X0,X1) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f100,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subclass(X0,X1) ) ),
inference(rectify,[],[f99]) ).
fof(f101,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ( ~ member(sK6(X0,X1),X1)
& member(sK6(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subclass(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[f100]) ).
fof(f103,plain,
! [X2,X3] :
( ~ member(X2,sK0)
| ~ member(X3,intersection(complement(singleton(X2)),sK0))
| ~ member(X3,sK0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f104,plain,
! [X1] : singleton(X1) != sK0,
inference(cnf_transformation,[],[f59]) ).
fof(f105,plain,
null_class != sK0,
inference(cnf_transformation,[],[f59]) ).
fof(f115,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f117,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f118,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ member(X2,X1)
| ~ member(X2,X0)
| member(X2,intersection(X0,X1)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f122,plain,
! [X0,X1] :
( member(X1,complement(X0))
| ~ member(X1,universal_class)
| member(X1,X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f126,plain,
! [X0] :
( member(sK2(X0),X0)
| null_class = X0 ),
inference(cnf_transformation,[],[f69]) ).
fof(f170,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f93]) ).
fof(f179,plain,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f98]) ).
fof(f180,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f2]) ).
fof(f181,plain,
! [X3,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f182,plain,
! [X0,X1] :
( member(sK6(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f183,plain,
! [X0,X1] :
( ~ member(sK6(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f196,plain,
! [X1] : sK0 != unordered_pair(X1,X1),
inference(definition_unfolding,[],[f104,f115]) ).
fof(f197,plain,
! [X2,X3] :
( ~ member(X2,sK0)
| ~ member(X3,intersection(complement(unordered_pair(X2,X2)),sK0))
| ~ member(X3,sK0) ),
inference(definition_unfolding,[],[f103,f115]) ).
fof(f236,plain,
! [X2,X3] :
( ~ member(X2,sK0)
| ~ member(X3,intersection(complement(unordered_pair(X2,X2)),sK0)) ),
inference(forward_subsumption_resolution,[],[f197,f117]) ).
fof(f237,plain,
! [X0] :
( ~ member(X0,intersection(complement(unordered_pair(sK2(sK0),sK2(sK0))),sK0))
| null_class = sK0 ),
inference(resolution,[],[f236,f126]) ).
fof(f238,plain,
! [X0] : ~ member(X0,intersection(complement(unordered_pair(sK2(sK0),sK2(sK0))),sK0)),
inference(forward_subsumption_resolution,[],[f237,f105]) ).
fof(f239,plain,
null_class = intersection(complement(unordered_pair(sK2(sK0),sK2(sK0))),sK0),
inference(resolution,[],[f238,f126]) ).
fof(f255,plain,
! [X2,X0,X1] :
( ~ member(sK6(X0,X1),X2)
| subclass(X0,X1)
| member(sK6(X0,X1),intersection(X2,X0)) ),
inference(resolution,[],[f182,f119]) ).
fof(f257,plain,
! [X2,X0,X1] :
( subclass(unordered_pair(X0,X1),X2)
| sK6(unordered_pair(X0,X1),X2) = X1
| sK6(unordered_pair(X0,X1),X2) = X0 ),
inference(resolution,[],[f182,f170]) ).
fof(f258,plain,
! [X0] : subclass(intersection(complement(unordered_pair(sK2(sK0),sK2(sK0))),sK0),X0),
inference(resolution,[],[f182,f238]) ).
fof(f259,plain,
! [X2,X0,X1] :
( member(sK6(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f182,f118]) ).
fof(f260,plain,
! [X2,X0,X1] :
( member(sK6(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f182,f117]) ).
fof(f263,plain,
! [X0] : subclass(null_class,X0),
inference(forward_demodulation,[],[f258,f239]) ).
fof(f266,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f263,f179]) ).
fof(f270,plain,
! [X2,X3,X0,X1] :
( ~ member(sK6(intersection(X0,X1),X2),X3)
| subclass(intersection(X0,X1),X2)
| member(sK6(intersection(X0,X1),X2),intersection(X3,X0)) ),
inference(resolution,[],[f259,f119]) ).
fof(f294,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X1)
| subclass(intersection(X0,X1),X1) ),
inference(resolution,[],[f183,f260]) ).
fof(f296,plain,
! [X0,X1] : subclass(intersection(X0,X1),X1),
inference(duplicate_literal_removal,[],[f294]) ).
fof(f299,plain,
! [X0,X1] :
( subclass(X0,X1)
| member(sK6(X0,X1),intersection(X0,X0))
| subclass(X0,X1) ),
inference(resolution,[],[f255,f182]) ).
fof(f305,plain,
! [X0,X1] :
( member(sK6(X0,X1),intersection(X0,X0))
| subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f299]) ).
fof(f336,plain,
! [X0] :
( subclass(X0,intersection(X0,X0))
| subclass(X0,intersection(X0,X0)) ),
inference(resolution,[],[f305,f183]) ).
fof(f343,plain,
! [X0] : subclass(X0,intersection(X0,X0)),
inference(duplicate_literal_removal,[],[f336]) ).
fof(f354,plain,
! [X0] :
( ~ subclass(intersection(X0,X0),X0)
| intersection(X0,X0) = X0 ),
inference(resolution,[],[f343,f179]) ).
fof(f356,plain,
! [X0] : intersection(X0,X0) = X0,
inference(forward_subsumption_resolution,[],[f354,f296]) ).
fof(f393,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f180,f181]) ).
fof(f705,plain,
! [X0,X1] :
( member(sK6(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(resolution,[],[f393,f305]) ).
fof(f748,plain,
! [X2,X3,X0,X1] :
( subclass(intersection(X0,X1),X2)
| member(sK6(intersection(X0,X1),X2),intersection(complement(X3),X0))
| ~ member(sK6(intersection(X0,X1),X2),universal_class)
| member(sK6(intersection(X0,X1),X2),X3) ),
inference(resolution,[],[f270,f122]) ).
fof(f768,plain,
! [X2,X3,X0,X1] :
( member(sK6(intersection(X0,X1),X2),intersection(complement(X3),X0))
| subclass(intersection(X0,X1),X2)
| member(sK6(intersection(X0,X1),X2),X3) ),
inference(forward_subsumption_resolution,[],[f748,f705]) ).
fof(f775,plain,
! [X0,X1] :
( member(sK6(intersection(sK0,X0),X1),unordered_pair(sK2(sK0),sK2(sK0)))
| subclass(intersection(sK0,X0),X1) ),
inference(resolution,[],[f768,f238]) ).
fof(f859,plain,
! [X0,X1] :
( subclass(intersection(sK0,X0),X1)
| sK2(sK0) = sK6(intersection(sK0,X0),X1)
| sK2(sK0) = sK6(intersection(sK0,X0),X1) ),
inference(resolution,[],[f775,f170]) ).
fof(f863,plain,
! [X0] :
( member(sK6(sK0,X0),unordered_pair(sK2(sK0),sK2(sK0)))
| subclass(sK0,X0) ),
inference(superposition,[],[f775,f356]) ).
fof(f865,plain,
! [X0,X1] :
( subclass(intersection(sK0,X0),X1)
| sK2(sK0) = sK6(intersection(sK0,X0),X1) ),
inference(duplicate_literal_removal,[],[f859]) ).
fof(f876,plain,
! [X0] :
( subclass(sK0,X0)
| sK2(sK0) = sK6(sK0,X0) ),
inference(superposition,[],[f865,f356]) ).
fof(f880,plain,
( sK2(sK0) = sK6(sK0,null_class)
| null_class = sK0 ),
inference(resolution,[],[f876,f266]) ).
fof(f883,plain,
sK2(sK0) = sK6(sK0,null_class),
inference(forward_subsumption_resolution,[],[f880,f105]) ).
fof(f886,plain,
( member(sK2(sK0),intersection(sK0,sK0))
| subclass(sK0,null_class) ),
inference(superposition,[],[f305,f883]) ).
fof(f891,definition,
( spl8_3
<=> subclass(sK0,null_class) ),
introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).
fof(f892,plain,
( subclass(sK0,null_class)
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f894,definition,
( spl8_4
<=> member(sK2(sK0),sK0) ),
introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).
fof(f895,plain,
( member(sK2(sK0),sK0)
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f901,plain,
( member(sK2(sK0),sK0)
| subclass(sK0,null_class) ),
inference(forward_demodulation,[],[f886,f356]) ).
fof(f902,plain,
( spl8_3
| spl8_4 ),
inference(avatar_split_clause,[],[f901,f894,f891]) ).
fof(f908,plain,
( ~ subclass(null_class,sK0)
| null_class = sK0
| ~ spl8_3 ),
inference(resolution,[],[f892,f179]) ).
fof(f912,plain,
( null_class = sK0
| ~ spl8_3 ),
inference(forward_subsumption_resolution,[],[f908,f263]) ).
fof(f916,plain,
( $false
| ~ spl8_3 ),
inference(forward_subsumption_resolution,[],[f912,f105]) ).
fof(f917,plain,
~ spl8_3,
inference(avatar_contradiction_clause,[],[f916]) ).
fof(f1144,plain,
( subclass(sK0,unordered_pair(sK2(sK0),sK2(sK0)))
| subclass(sK0,unordered_pair(sK2(sK0),sK2(sK0))) ),
inference(resolution,[],[f863,f183]) ).
fof(f1154,plain,
subclass(sK0,unordered_pair(sK2(sK0),sK2(sK0))),
inference(duplicate_literal_removal,[],[f1144]) ).
fof(f1156,plain,
( ~ subclass(unordered_pair(sK2(sK0),sK2(sK0)),sK0)
| sK0 = unordered_pair(sK2(sK0),sK2(sK0)) ),
inference(resolution,[],[f1154,f179]) ).
fof(f1157,plain,
~ subclass(unordered_pair(sK2(sK0),sK2(sK0)),sK0),
inference(forward_subsumption_resolution,[],[f1156,f196]) ).
fof(f1158,plain,
( sK2(sK0) = sK6(unordered_pair(sK2(sK0),sK2(sK0)),sK0)
| sK2(sK0) = sK6(unordered_pair(sK2(sK0),sK2(sK0)),sK0) ),
inference(resolution,[],[f1157,f257]) ).
fof(f1159,plain,
sK2(sK0) = sK6(unordered_pair(sK2(sK0),sK2(sK0)),sK0),
inference(duplicate_literal_removal,[],[f1158]) ).
fof(f1162,plain,
( ~ member(sK2(sK0),sK0)
| subclass(unordered_pair(sK2(sK0),sK2(sK0)),sK0) ),
inference(superposition,[],[f183,f1159]) ).
fof(f1164,plain,
( subclass(unordered_pair(sK2(sK0),sK2(sK0)),sK0)
| ~ spl8_4 ),
inference(forward_subsumption_resolution,[],[f1162,f895]) ).
fof(f1166,plain,
( $false
| ~ spl8_4 ),
inference(forward_subsumption_resolution,[],[f1164,f1157]) ).
fof(f1167,plain,
~ spl8_4,
inference(avatar_contradiction_clause,[],[f1166]) ).
cnf(s4,plain,
( spl8_3
| spl8_4 ),
inference(sat_conversion,[],[f902]) ).
cnf(s9,plain,
~ spl8_3,
inference(sat_conversion,[],[f917]) ).
cnf(s17,plain,
~ spl8_4,
inference(sat_conversion,[],[f1167]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s4,s17,s9]) ).
fof(f1169,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET098+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 00:40:33 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.86/2.03 % (3557986)Detected formulas, will run a generic FOF schedule.
% 6.86/2.03 % (3557993)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3809235688:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.86/2.03 % (3557991)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=2426246785:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.86/2.03 % (3557992)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1313418601:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.86/2.03 % (3557996)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3971270903:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.86/2.03 % (3557995)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3346958850:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.86/2.03 % (3557994)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3911994875:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.86/2.03 % (3557994)Refutation not found, incomplete strategy
% 6.86/2.03 % (3557994)------------------------------
% 6.86/2.03 % (3557994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/2.03 % (3557994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/2.03 % (3557994)CaDiCaL version: 2.1.3
% 6.86/2.03 % (3557994)Termination reason: Refutation not found, incomplete strategy
% 6.86/2.03 % (3557994)Time elapsed: 0.002 s
% 6.86/2.03 % (3557994)Peak memory usage: 88 MB
% 6.86/2.03 % (3557994)Instructions burned: 1 (million)
% 6.86/2.03 % (3557997)dis-21_1_sil=8000:lcm=predicate:random_seed=2739427444:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.86/2.03 % (3557995)Instruction limit reached!
% 6.86/2.03 % (3557995)------------------------------
% 6.86/2.03 % (3557995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/2.03 % (3557995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/2.03 % (3557995)CaDiCaL version: 2.1.3
% 6.86/2.03 % (3557995)Termination reason: Instruction limit
% 6.86/2.03 % (3557995)Termination phase: Saturation
% 6.86/2.03 % (3557995)Time elapsed: 0.075 s
% 6.86/2.03 % (3557995)Peak memory usage: 88 MB
% 6.86/2.03 % (3557995)Instructions burned: 119 (million)
% 6.86/2.03 % (3557997)Instruction limit reached!
% 6.86/2.03 % (3557997)------------------------------
% 6.86/2.03 % (3557997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/2.03 % (3557997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/2.03 % (3557997)CaDiCaL version: 2.1.3
% 6.86/2.03 % (3557997)Termination reason: Instruction limit
% 6.86/2.03 % (3557997)Termination phase: Saturation
% 6.86/2.03 % (3557997)Time elapsed: 0.071 s
% 6.86/2.03 % (3557997)Peak memory usage: 89 MB
% 6.86/2.03 % (3557997)Instructions burned: 130 (million)
% 6.86/2.03 % (3557996)Instruction limit reached!
% 6.86/2.03 % (3557996)------------------------------
% 6.86/2.03 % (3557996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/2.03 % (3557996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/2.03 % (3557996)CaDiCaL version: 2.1.3
% 6.86/2.03 % (3557996)Termination reason: Instruction limit
% 6.86/2.03 % (3557996)Termination phase: Saturation
% 6.86/2.03 % (3557996)Time elapsed: 0.103 s
% 6.86/2.03 % (3557996)Peak memory usage: 89 MB
% 6.86/2.03 % (3557996)Instructions burned: 140 (million)
% 6.86/2.03 % (3558005)lrs+10_1_sil=8000:sp=occurrence:random_seed=2930389408:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.86/2.03 % (3557994)------------------------------
% 6.86/2.03 % (3557994)------------------------------
% 6.86/2.03 % (3558007)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3618286341:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.86/2.03 % (3558006)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1437317243:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.86/2.03 % (3558006)Instruction limit reached!
% 6.86/2.03 % (3558006)------------------------------
% 6.86/2.03 % (3558006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/2.03 % (3558006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/2.03 % (3558006)CaDiCaL version: 2.1.3
% 6.86/2.03 % (3558006)Termination reason: Instruction limit
% 6.86/2.03 % (3558006)Termination phase: Saturation
% 6.86/2.03 % (3558006)Time elapsed: 0.075 s
% 6.86/2.03 % (3558006)Peak memory usage: 90 MB
% 6.86/2.03 % (3558006)Instructions burned: 157 (million)
% 6.86/2.03 % (3558005)Instruction limit reached!
% 6.86/2.03 % (3558005)------------------------------
% 6.86/2.03 % (3558005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/2.03 % (3558005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/2.03 % (3558005)CaDiCaL version: 2.1.3
% 6.86/2.03 % (3558005)Termination reason: Instruction limit
% 6.86/2.03 % (3558005)Termination phase: Saturation
% 6.86/2.03 % (3558005)Time elapsed: 0.179 s
% 6.86/2.03 % (3558005)Peak memory usage: 92 MB
% 6.86/2.03 % (3558005)Instructions burned: 285 (million)
% 6.86/2.03 % (3558011)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1801738970:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.86/2.03 % (3558007)Instruction limit reached!
% 6.86/2.03 % (3558007)------------------------------
% 6.86/2.03 % (3558007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/2.03 % (3558007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/2.03 % (3558007)CaDiCaL version: 2.1.3
% 6.86/2.03 % (3558007)Termination reason: Instruction limit
% 6.86/2.03 % (3558007)Termination phase: Saturation
% 6.86/2.03 % (3558007)Time elapsed: 0.215 s
% 6.86/2.03 % (3558007)Peak memory usage: 92 MB
% 6.86/2.03 % (3558007)Instructions burned: 325 (million)
% 6.86/2.03 % (3558012)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=584971227:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.86/2.03 % (3558011)Instruction limit reached!
% 6.86/2.03 % (3558011)------------------------------
% 6.86/2.03 % (3558011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/2.03 % (3558011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/2.03 % (3558011)CaDiCaL version: 2.1.3
% 6.86/2.03 % (3558011)Termination reason: Instruction limit
% 6.86/2.03 % (3558011)Termination phase: Saturation
% 6.86/2.03 % (3558011)Time elapsed: 0.146 s
% 6.86/2.03 % (3558011)Peak memory usage: 92 MB
% 6.86/2.03 % (3558011)Instructions burned: 248 (million)
% 6.86/2.03 % (3558013)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=741369282:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.86/2.03 % (3558015)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=369309776:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.86/2.03 % (3558012)Instruction limit reached!
% 6.86/2.03 % (3558012)------------------------------
% 6.86/2.03 % (3558012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/2.03 % (3558012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/2.03 % (3558012)CaDiCaL version: 2.1.3
% 6.86/2.03 % (3558012)Termination reason: Instruction limit
% 6.86/2.03 % (3558012)Termination phase: Saturation
% 6.86/2.03 % (3558012)Time elapsed: 0.178 s
% 6.86/2.03 % (3558012)Peak memory usage: 90 MB
% 6.86/2.03 % (3558012)Instructions burned: 294 (million)
% 6.86/2.03 % (3558015)Instruction limit reached!
% 6.86/2.03 % (3558015)------------------------------
% 6.86/2.03 % (3558015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/2.03 % (3558015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/2.03 % (3558015)CaDiCaL version: 2.1.3
% 6.86/2.03 % (3558015)Termination reason: Instruction limit
% 6.86/2.03 % (3558015)Termination phase: Saturation
% 6.86/2.03 % (3558015)Time elapsed: 0.073 s
% 6.86/2.03 % (3558015)Peak memory usage: 89 MB
% 6.86/2.03 % (3558015)Instructions burned: 114 (million)
% 6.86/2.03 % (3558017)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=72483119:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 6.86/2.03 % (3557992)First to succeed.
% 6.86/2.03 % (3557992)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3557986"
% 6.86/2.03 % (3558017)Instruction limit reached!
% 6.86/2.03 % (3558017)------------------------------
% 6.86/2.03 % (3558017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/2.03 % (3558017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/2.03 % (3558017)CaDiCaL version: 2.1.3
% 6.86/2.03 % (3558017)Termination reason: Instruction limit
% 6.86/2.03 % (3558017)Termination phase: Saturation
% 6.86/2.03 % (3558017)Time elapsed: 0.069 s
% 6.86/2.03 % (3558017)Peak memory usage: 88 MB
% 6.86/2.03 % (3558017)Instructions burned: 128 (million)
% 6.86/2.03 % (3558020)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3456077423:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 6.86/2.03 % (3558021)lrs+10_1_sil=8000:sp=occurrence:random_seed=4213400527:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.86/2.03 % (3558020)Instruction limit reached!
% 6.86/2.03 % (3558020)------------------------------
% 6.86/2.03 % (3558020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/2.03 % (3558020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/2.03 % (3558020)CaDiCaL version: 2.1.3
% 6.86/2.03 % (3558020)Termination reason: Instruction limit
% 6.86/2.03 % (3558020)Termination phase: Saturation
% 6.86/2.03 % (3558020)Time elapsed: 0.068 s
% 6.86/2.03 % (3558020)Peak memory usage: 89 MB
% 6.86/2.03 % (3558020)Instructions burned: 115 (million)
% 6.86/2.03 % (3557991)Also succeeded, but the first one will report.
% 6.86/2.03 % (3558024)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=689436253:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 6.86/2.03 % (3558024)Refutation not found, incomplete strategy
% 6.86/2.03 % (3558024)------------------------------
% 6.86/2.03 % (3558024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/2.03 % (3558024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/2.03 % (3558024)CaDiCaL version: 2.1.3
% 6.86/2.03 % (3558024)Termination reason: Refutation not found, incomplete strategy
% 6.86/2.03 % (3558024)Time elapsed: 0.002 s
% 6.86/2.03 % (3558024)Peak memory usage: 88 MB
% 6.86/2.03 % (3558024)Instructions burned: 1 (million)
% 6.86/2.03 % (3557992)Refutation found. Thanks to Tanya!
% 6.86/2.03 % SZS status Theorem for theBenchmark
% 6.86/2.03 % SZS output start Proof for theBenchmark
% See solution above
% 8.89/2.22 % (3557992)------------------------------
% 8.89/2.22 % (3557992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.89/2.22 % (3557992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.89/2.22 % (3557992)CaDiCaL version: 2.1.3
% 8.89/2.22 % (3557992)Termination reason: Refutation
% 8.89/2.22 % (3557992)Time elapsed: 0.746 s
% 8.89/2.22 % (3557992)Peak memory usage: 129 MB
% 8.89/2.22 % (3557992)Instructions burned: 1117 (million)
% 8.89/2.22 % (3557992)------------------------------
% 8.89/2.22 % (3557992)------------------------------
% 8.89/2.22 % (3557986)Success in time 1.172 s
% 8.89/2.22 % Vampire exiting
%------------------------------------------------------------------------------