%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET097+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 12:40:05 PM UTC 2026
% Result : Theorem 10.55s 2.40s
% Output : Refutation 11.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 18
% Syntax : Number of formulae : 151 ( 29 unt; 8 def)
% Number of atoms : 419 ( 124 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 421 ( 153 ~; 215 |; 40 &)
% ( 11 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 241 ( 0 sgn 230 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_defn) ).
fof(f2,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f3,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subclass(X0,X1)
& subclass(X1,X0) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',unordered_pair_defn) ).
fof(f6,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',intersection) ).
fof(f14,axiom,
! [X0,X1] :
( member(X1,complement(X0))
<=> ( member(X1,universal_class)
& ~ member(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement) ).
fof(f16,axiom,
! [X0] : ~ member(X0,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/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)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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)) ) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f47,plain,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
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] :
( null_class != X0
& ! [X1] : singleton(X1) != X0
& ! [X2] :
( ~ member(X2,X0)
| ! [X3] : ~ member(X3,intersection(complement(singleton(X2)),X0)) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f61,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,[],[f47]) ).
fof(f62,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,[],[f61]) ).
fof(f63,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subclass(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f62]) ).
fof(f64,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subclass(X0,X1)
| ~ subclass(X1,X0) )
& ( ( subclass(X0,X1)
& subclass(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f65,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subclass(X0,X1)
| ~ subclass(X1,X0) )
& ( ( subclass(X0,X1)
& subclass(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f64]) ).
fof(f66,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(f67,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,[],[f66]) ).
fof(f72,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(f73,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,[],[f72]) ).
fof(f74,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(f75,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,[],[f74]) ).
fof(f101,plain,
! [X0] :
( ( member(sK4(X0),universal_class)
& member(sK4(X0),X0)
& disjoint(sK4(X0),X0) )
| null_class = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f57]) ).
fof(f103,plain,
( null_class != sK6
& ! [X1] : singleton(X1) != sK6
& ! [X2] :
( ~ member(X2,sK6)
| ! [X3] : ~ member(X3,intersection(complement(singleton(X2)),sK6)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X0,sK6)],[f60]) ).
fof(f104,plain,
! [X3,X0,X1] :
( ~ member(X3,X0)
| member(X3,X1)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f105,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f106,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f107,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f2]) ).
fof(f110,plain,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f65]) ).
fof(f111,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f67]) ).
fof(f116,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f129,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f130,plain,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f131,plain,
! [X0,X1] :
( ~ member(X1,complement(X0))
| ~ member(X1,X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f133,plain,
! [X0,X1] :
( member(X1,complement(X0))
| ~ member(X1,universal_class)
| member(X1,X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f135,plain,
! [X0] : ~ member(X0,null_class),
inference(cnf_transformation,[],[f16]) ).
fof(f186,plain,
! [X0] :
( member(sK4(X0),X0)
| null_class = X0 ),
inference(cnf_transformation,[],[f101]) ).
fof(f191,plain,
! [X2,X3] :
( ~ member(X2,sK6)
| ~ member(X3,intersection(complement(singleton(X2)),sK6)) ),
inference(cnf_transformation,[],[f103]) ).
fof(f192,plain,
! [X1] : singleton(X1) != sK6,
inference(cnf_transformation,[],[f103]) ).
fof(f193,plain,
null_class != sK6,
inference(cnf_transformation,[],[f103]) ).
fof(f231,plain,
! [X1] : sK6 != unordered_pair(X1,X1),
inference(definition_unfolding,[],[f192,f116]) ).
fof(f232,plain,
! [X2,X3] :
( ~ member(X2,sK6)
| ~ member(X3,intersection(complement(unordered_pair(X2,X2)),sK6)) ),
inference(definition_unfolding,[],[f191,f116]) ).
fof(f239,definition,
! [X1] : sF7(X1) = unordered_pair(X1,X1),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f240,plain,
! [X1] : unordered_pair(X1,X1) = sF7(X1),
inference(reorient_equations,[],[f239]) ).
fof(f241,plain,
! [X1] : sK6 != sF7(X1),
inference(definition_folding,[],[f231,f240]) ).
fof(f242,definition,
! [X2] : sF8(X2) = complement(sF7(X2)),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f243,plain,
! [X2] : complement(sF7(X2)) = sF8(X2),
inference(reorient_equations,[],[f242]) ).
fof(f244,definition,
! [X2] : sF9(X2) = intersection(sF8(X2),sK6),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f245,plain,
! [X2] : intersection(sF8(X2),sK6) = sF9(X2),
inference(reorient_equations,[],[f244]) ).
fof(f246,plain,
! [X2,X3] :
( ~ member(X3,sF9(X2))
| ~ member(X2,sK6) ),
inference(definition_folding,[],[f232,f245,f243,f240]) ).
fof(f247,plain,
! [X0] :
( ~ member(X0,sK6)
| null_class = sF9(X0) ),
inference(resolution,[],[f186,f246]) ).
fof(f248,plain,
( null_class = sF9(sK4(sK6))
| null_class = sK6 ),
inference(resolution,[],[f247,f186]) ).
fof(f249,plain,
null_class = sF9(sK4(sK6)),
inference(forward_subsumption_resolution,[],[f248,f193]) ).
fof(f251,plain,
! [X0,X1] :
( member(sK4(intersection(X0,X1)),X1)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f128,f186]) ).
fof(f252,plain,
! [X0,X1] :
( ~ member(X1,sF9(X0))
| member(X1,sK6) ),
inference(superposition,[],[f128,f245]) ).
fof(f259,plain,
! [X0,X1] :
( ~ member(X1,sF8(X0))
| member(X1,sF9(X0))
| ~ member(X1,sK6) ),
inference(superposition,[],[f130,f245]) ).
fof(f260,plain,
! [X0,X1] :
( member(sK0(sF9(X0),X1),sK6)
| subclass(sF9(X0),X1) ),
inference(resolution,[],[f105,f252]) ).
fof(f262,plain,
! [X0] :
( subclass(sK6,X0)
| null_class = sF9(sK0(sK6,X0)) ),
inference(resolution,[],[f105,f247]) ).
fof(f263,plain,
! [X2,X0,X1] :
( member(sK0(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f105,f129]) ).
fof(f264,plain,
! [X2,X0,X1] :
( member(sK0(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f105,f128]) ).
fof(f265,plain,
! [X0,X1] :
( member(X1,sF7(X0))
| ~ member(X1,universal_class)
| member(X1,sF8(X0)) ),
inference(superposition,[],[f133,f243]) ).
fof(f286,plain,
! [X0] :
( subclass(sF9(X0),sK6)
| subclass(sF9(X0),sK6) ),
inference(resolution,[],[f106,f260]) ).
fof(f288,plain,
! [X2,X0,X1] :
( ~ member(sK0(X0,intersection(X1,X2)),X2)
| ~ member(sK0(X0,intersection(X1,X2)),X1)
| subclass(X0,intersection(X1,X2)) ),
inference(resolution,[],[f106,f130]) ).
fof(f289,plain,
! [X0,X1] :
( member(sK0(X0,sF7(X1)),sF8(X1))
| ~ member(sK0(X0,sF7(X1)),universal_class)
| subclass(X0,sF7(X1)) ),
inference(resolution,[],[f106,f265]) ).
fof(f290,plain,
! [X0] : subclass(sF9(X0),sK6),
inference(duplicate_literal_removal,[],[f286]) ).
fof(f292,plain,
! [X0] :
( ~ subclass(sK6,sF9(X0))
| sK6 = sF9(X0) ),
inference(resolution,[],[f290,f110]) ).
fof(f295,plain,
! [X0,X1] :
( member(sK0(X0,sF7(X1)),sF9(X1))
| subclass(X0,sF7(X1))
| ~ member(sK0(X0,sF7(X1)),universal_class)
| ~ member(sK0(X0,sF7(X1)),sK6) ),
inference(resolution,[],[f289,f259]) ).
fof(f342,plain,
! [X2,X0,X1] :
( member(sK0(X0,X1),X2)
| ~ subclass(X0,X2)
| subclass(X0,X1) ),
inference(resolution,[],[f104,f105]) ).
fof(f367,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f263,f106]) ).
fof(f389,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f367]) ).
fof(f522,plain,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| subclass(X0,intersection(X2,X1))
| ~ member(sK0(X0,intersection(X2,X1)),X2)
| subclass(X0,intersection(X2,X1)) ),
inference(resolution,[],[f342,f288]) ).
fof(f552,plain,
! [X2,X0,X1] :
( ~ member(sK0(X0,intersection(X2,X1)),X2)
| subclass(X0,intersection(X2,X1))
| ~ subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f522]) ).
fof(f615,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1)
| subclass(X0,intersection(X0,X1)) ),
inference(resolution,[],[f552,f105]) ).
fof(f629,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f615]) ).
fof(f631,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(intersection(X0,X1),X0)
| intersection(X0,X1) = X0 ),
inference(resolution,[],[f629,f110]) ).
fof(f633,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| intersection(X0,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f631,f389]) ).
fof(f634,plain,
! [X0] : intersection(X0,universal_class) = X0,
inference(resolution,[],[f633,f107]) ).
fof(f639,plain,
! [X0] :
( null_class = sF9(sK0(sK6,X0))
| sK6 = intersection(sK6,X0) ),
inference(resolution,[],[f633,f262]) ).
fof(f692,plain,
! [X0,X1] :
( ~ member(X1,X0)
| member(X1,universal_class) ),
inference(superposition,[],[f128,f634]) ).
fof(f698,plain,
! [X0,X1] :
( member(sK0(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(superposition,[],[f264,f634]) ).
fof(f709,plain,
! [X0,X1] :
( member(sK0(X0,sF7(sK0(sK6,X1))),null_class)
| subclass(X0,sF7(sK0(sK6,X1)))
| ~ member(sK0(X0,sF7(sK0(sK6,X1))),universal_class)
| ~ member(sK0(X0,sF7(sK0(sK6,X1))),sK6)
| sK6 = intersection(sK6,X1) ),
inference(superposition,[],[f295,f639]) ).
fof(f719,plain,
! [X0,X1] :
( member(sK0(X0,sF7(sK0(sK6,X1))),null_class)
| subclass(X0,sF7(sK0(sK6,X1)))
| ~ member(sK0(X0,sF7(sK0(sK6,X1))),sK6)
| sK6 = intersection(sK6,X1) ),
inference(forward_subsumption_resolution,[],[f709,f698]) ).
fof(f720,plain,
! [X0,X1] :
( ~ member(sK0(X0,sF7(sK0(sK6,X1))),sK6)
| subclass(X0,sF7(sK0(sK6,X1)))
| sK6 = intersection(sK6,X1) ),
inference(forward_subsumption_resolution,[],[f719,f135]) ).
fof(f722,plain,
! [X0] :
( subclass(sK6,sF7(sK0(sK6,X0)))
| sK6 = intersection(sK6,X0)
| subclass(sK6,sF7(sK0(sK6,X0))) ),
inference(resolution,[],[f720,f105]) ).
fof(f729,plain,
! [X0] :
( subclass(sK6,sF7(sK0(sK6,X0)))
| sK6 = intersection(sK6,X0) ),
inference(duplicate_literal_removal,[],[f722]) ).
fof(f732,plain,
! [X0] :
( sK6 = intersection(sK6,X0)
| ~ subclass(sF7(sK0(sK6,X0)),sK6)
| sK6 = sF7(sK0(sK6,X0)) ),
inference(resolution,[],[f729,f110]) ).
fof(f733,plain,
! [X0] :
( ~ subclass(sF7(sK0(sK6,X0)),sK6)
| sK6 = intersection(sK6,X0) ),
inference(forward_subsumption_resolution,[],[f732,f241]) ).
fof(f893,plain,
! [X0,X1] :
( ~ member(X1,sF7(X0))
| X0 = X1
| X0 = X1 ),
inference(superposition,[],[f111,f240]) ).
fof(f894,plain,
! [X0,X1] :
( ~ member(X1,sF7(X0))
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f893]) ).
fof(f901,plain,
! [X0,X1] :
( member(X1,sF8(X0))
| ~ member(X1,universal_class)
| X0 = X1 ),
inference(resolution,[],[f894,f265]) ).
fof(f903,plain,
! [X0,X1] :
( subclass(sF7(X0),X1)
| sK0(sF7(X0),X1) = X0 ),
inference(resolution,[],[f894,f105]) ).
fof(f936,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| X0 = X1
| member(X0,sF9(X1))
| ~ member(X0,sK6) ),
inference(resolution,[],[f901,f259]) ).
fof(f947,plain,
! [X0,X1] :
( member(X0,sF9(X1))
| X0 = X1
| ~ member(X0,sK6) ),
inference(forward_subsumption_resolution,[],[f936,f692]) ).
fof(f950,plain,
! [X0,X1] :
( ~ member(X1,sK6)
| ~ member(X0,sK6)
| X0 = X1 ),
inference(resolution,[],[f947,f246]) ).
fof(f981,plain,
! [X0,X1] :
( ~ member(X0,sK6)
| sK0(sK6,X1) = X0
| subclass(sK6,X1) ),
inference(resolution,[],[f950,f105]) ).
fof(f992,plain,
! [X0,X1] :
( subclass(sK6,X1)
| subclass(sK6,X0)
| sK0(sK6,X0) = sK0(sK6,X1) ),
inference(resolution,[],[f981,f105]) ).
fof(f1003,plain,
! [X0,X1] :
( subclass(sK6,X1)
| sK0(sK6,X0) = sK0(sK6,X1)
| sK6 = intersection(sK6,X0) ),
inference(resolution,[],[f992,f633]) ).
fof(f1047,plain,
! [X0,X1] :
( sK0(sK6,X0) = sK0(sK6,sF9(X1))
| sK6 = intersection(sK6,X0)
| sK6 = sF9(X1) ),
inference(resolution,[],[f1003,f292]) ).
fof(f1048,plain,
! [X0,X1] :
( sK0(sK6,X0) = sK0(sK6,X1)
| sK6 = intersection(sK6,X0)
| sK6 = intersection(sK6,X1) ),
inference(resolution,[],[f1003,f633]) ).
fof(f1069,plain,
! [X0,X1] :
( member(sK0(sK6,X0),sK6)
| subclass(sK6,X1)
| sK6 = intersection(sK6,X1)
| sK6 = intersection(sK6,X0) ),
inference(superposition,[],[f105,f1048]) ).
fof(f1193,plain,
! [X0,X1] :
( member(sK0(sK6,X0),sK6)
| sK6 = intersection(sK6,X1)
| sK6 = intersection(sK6,X0) ),
inference(forward_subsumption_resolution,[],[f1069,f633]) ).
fof(f1199,definition,
( spl10_9
<=> ! [X1] : sK6 = intersection(sK6,X1) ),
introduced(definition,[new_symbols(definition,[spl10_9])],[avatar_definition]) ).
fof(f1200,plain,
( ! [X1] : sK6 = intersection(sK6,X1)
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f1199]) ).
fof(f1202,definition,
( spl10_10
<=> ! [X0] :
( member(sK0(sK6,X0),sK6)
| sK6 = intersection(sK6,X0) ) ),
introduced(definition,[new_symbols(definition,[spl10_10])],[avatar_definition]) ).
fof(f1203,plain,
( ! [X0] :
( member(sK0(sK6,X0),sK6)
| sK6 = intersection(sK6,X0) )
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f1202]) ).
fof(f1214,plain,
( spl10_9
| spl10_10 ),
inference(avatar_split_clause,[],[f1193,f1202,f1199]) ).
fof(f1222,plain,
( ! [X0] :
( member(sK4(sK6),X0)
| null_class = sK6 )
| ~ spl10_9 ),
inference(superposition,[],[f251,f1200]) ).
fof(f1238,plain,
( ! [X0] : member(sK4(sK6),X0)
| ~ spl10_9 ),
inference(forward_subsumption_resolution,[],[f1222,f193]) ).
fof(f1260,plain,
( ! [X0] : ~ member(sK4(sK6),X0)
| ~ spl10_9 ),
inference(resolution,[],[f1238,f131]) ).
fof(f1283,plain,
( $false
| ~ spl10_9 ),
inference(forward_subsumption_resolution,[],[f1260,f1238]) ).
fof(f1284,plain,
~ spl10_9,
inference(avatar_contradiction_clause,[],[f1283]) ).
fof(f2120,plain,
! [X0,X1] :
( ~ member(sK0(sK6,X0),sF9(X1))
| subclass(sK6,sF9(X1))
| sK6 = intersection(sK6,X0)
| sK6 = sF9(X1) ),
inference(superposition,[],[f106,f1047]) ).
fof(f2166,plain,
! [X0,X1] :
( ~ member(sK0(sK6,X0),sF9(X1))
| sK6 = intersection(sK6,X0)
| sK6 = sF9(X1) ),
inference(forward_subsumption_resolution,[],[f2120,f292]) ).
fof(f2243,plain,
! [X0,X1] :
( sK6 = intersection(sK6,X0)
| sK6 = sF9(X1)
| sK0(sK6,X0) = X1
| ~ member(sK0(sK6,X0),sK6) ),
inference(resolution,[],[f2166,f947]) ).
fof(f2272,plain,
( ! [X0,X1] :
( sK6 = intersection(sK6,X0)
| sK6 = sF9(X1)
| sK0(sK6,X0) = X1 )
| ~ spl10_10 ),
inference(forward_subsumption_resolution,[],[f2243,f1203]) ).
fof(f2344,plain,
( ! [X0,X1] :
( ~ subclass(sF7(X0),sK6)
| sK6 = intersection(sK6,X1)
| sK6 = intersection(sK6,X1)
| sK6 = sF9(X0) )
| ~ spl10_10 ),
inference(superposition,[],[f733,f2272]) ).
fof(f2358,plain,
( ! [X0,X1] :
( member(X0,sK6)
| subclass(sK6,X1)
| sK6 = intersection(sK6,X1)
| sK6 = sF9(X0) )
| ~ spl10_10 ),
inference(superposition,[],[f105,f2272]) ).
fof(f2395,plain,
( ! [X0,X1] :
( ~ subclass(sF7(X0),sK6)
| sK6 = intersection(sK6,X1)
| sK6 = sF9(X0) )
| ~ spl10_10 ),
inference(duplicate_literal_removal,[],[f2344]) ).
fof(f2420,plain,
( ! [X0,X1] :
( member(X0,sK6)
| sK6 = intersection(sK6,X1)
| sK6 = sF9(X0) )
| ~ spl10_10 ),
inference(forward_subsumption_resolution,[],[f2358,f633]) ).
fof(f2436,definition,
( spl10_60
<=> ! [X0] :
( member(X0,sK6)
| sK6 = sF9(X0) ) ),
introduced(definition,[new_symbols(definition,[spl10_60])],[avatar_definition]) ).
fof(f2437,plain,
( ! [X0] :
( member(X0,sK6)
| sK6 = sF9(X0) )
| ~ spl10_60 ),
inference(avatar_component_clause,[],[f2436]) ).
fof(f2460,definition,
( spl10_66
<=> ! [X0] :
( ~ subclass(sF7(X0),sK6)
| sK6 = sF9(X0) ) ),
introduced(definition,[new_symbols(definition,[spl10_66])],[avatar_definition]) ).
fof(f2461,plain,
( ! [X0] :
( ~ subclass(sF7(X0),sK6)
| sK6 = sF9(X0) )
| ~ spl10_66 ),
inference(avatar_component_clause,[],[f2460]) ).
fof(f2462,plain,
( spl10_9
| spl10_66
| ~ spl10_10 ),
inference(avatar_split_clause,[],[f2395,f1202,f2460,f1199]) ).
fof(f2496,plain,
( spl10_9
| spl10_60
| ~ spl10_10 ),
inference(avatar_split_clause,[],[f2420,f1202,f2436,f1199]) ).
fof(f2523,plain,
( ! [X0] :
( subclass(X0,sK6)
| sK6 = sF9(sK0(X0,sK6)) )
| ~ spl10_60 ),
inference(resolution,[],[f2437,f106]) ).
fof(f3322,plain,
( ! [X0] :
( sK6 = sF9(sK0(sF7(X0),sK6))
| sK6 = sF9(X0) )
| ~ spl10_60
| ~ spl10_66 ),
inference(resolution,[],[f2523,f2461]) ).
fof(f6430,definition,
( spl10_187
<=> ! [X1] : sK6 = sF9(X1) ),
introduced(definition,[new_symbols(definition,[spl10_187])],[avatar_definition]) ).
fof(f6431,plain,
( ! [X1] : sK6 = sF9(X1)
| ~ spl10_187 ),
inference(avatar_component_clause,[],[f6430]) ).
fof(f7977,plain,
( null_class = sK6
| ~ spl10_187 ),
inference(superposition,[],[f6431,f249]) ).
fof(f8038,plain,
( $false
| ~ spl10_187 ),
inference(forward_subsumption_resolution,[],[f7977,f193]) ).
fof(f8039,plain,
~ spl10_187,
inference(avatar_contradiction_clause,[],[f8038]) ).
fof(f8615,plain,
( ! [X0] :
( sK0(sF7(X0),sK6) = X0
| sK6 = sF9(X0) )
| ~ spl10_66 ),
inference(resolution,[],[f903,f2461]) ).
fof(f8629,plain,
( ! [X0] :
( sK6 = sF9(X0)
| sK6 = sF9(X0)
| sK6 = sF9(X0) )
| ~ spl10_60
| ~ spl10_66 ),
inference(superposition,[],[f3322,f8615]) ).
fof(f8635,plain,
( ! [X0] : sK6 = sF9(X0)
| ~ spl10_60
| ~ spl10_66 ),
inference(duplicate_literal_removal,[],[f8629]) ).
fof(f8641,plain,
( spl10_187
| ~ spl10_60
| ~ spl10_66 ),
inference(avatar_split_clause,[],[f8635,f2460,f2436,f6430]) ).
cnf(s10,plain,
( spl10_9
| spl10_10 ),
inference(sat_conversion,[],[f1214]) ).
cnf(s18,plain,
~ spl10_9,
inference(sat_conversion,[],[f1284]) ).
cnf(s82,plain,
( spl10_9
| ~ spl10_10
| spl10_66 ),
inference(sat_conversion,[],[f2462]) ).
cnf(s92,plain,
( spl10_9
| ~ spl10_10
| spl10_60 ),
inference(sat_conversion,[],[f2496]) ).
cnf(s361,plain,
~ spl10_187,
inference(sat_conversion,[],[f8039]) ).
cnf(s369,plain,
( ~ spl10_60
| ~ spl10_66
| spl10_187 ),
inference(sat_conversion,[],[f8641]) ).
cnf(s426,plain,
spl10_10,
inference(rat,[],[s10,s18]) ).
cnf(s476,plain,
spl10_60,
inference(rat,[],[s92,s18,s426]) ).
cnf(s486,plain,
spl10_66,
inference(rat,[],[s82,s18,s426]) ).
cnf(s512,plain,
$false,
inference(rat,[],[s369,s361,s486,s476]) ).
fof(f8647,plain,
$false,
inference(avatar_sat_refutation,[],[s512]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET097+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 00:40:55 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 10.55/2.33 % (1763967)Detected formulas, will run a generic FOF schedule.
% 10.55/2.33 % (1763978)dis-21_1_sil=8000:lcm=predicate:random_seed=1474162037: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)
% 10.55/2.33 % (1763972)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=2145772908:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.55/2.33 % (1763978)Instruction limit reached!
% 10.55/2.33 % (1763978)------------------------------
% 10.55/2.33 % (1763978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.33 % (1763978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.33 % (1763978)CaDiCaL version: 2.1.3
% 10.55/2.33 % (1763978)Termination reason: Instruction limit
% 10.55/2.33 % (1763978)Termination phase: Saturation
% 10.55/2.33 % (1763978)Time elapsed: 0.037 s
% 10.55/2.33 % (1763978)Peak memory usage: 89 MB
% 10.55/2.33 % (1763978)Instructions burned: 131 (million)
% 10.55/2.33 % (1763973)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=3253166375:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.55/2.33 % (1763974)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=195100262:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.55/2.33 % (1763975)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3052424405:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.55/2.33 % (1763977)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2563084608:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.55/2.33 % (1763975)Refutation not found, incomplete strategy
% 10.55/2.33 % (1763975)------------------------------
% 10.55/2.33 % (1763975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.33 % (1763975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.33 % (1763975)CaDiCaL version: 2.1.3
% 10.55/2.33 % (1763975)Termination reason: Refutation not found, incomplete strategy
% 10.55/2.33 % (1763975)Time elapsed: 0.002 s
% 10.55/2.33 % (1763975)Peak memory usage: 88 MB
% 10.55/2.33 % (1763975)Instructions burned: 1 (million)
% 10.55/2.33 % (1763976)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1415986366:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.55/2.33 % (1763976)Instruction limit reached!
% 10.55/2.33 % (1763976)------------------------------
% 10.55/2.33 % (1763976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.33 % (1763976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.33 % (1763976)CaDiCaL version: 2.1.3
% 10.55/2.33 % (1763976)Termination reason: Instruction limit
% 10.55/2.33 % (1763976)Termination phase: Saturation
% 10.55/2.33 % (1763976)Time elapsed: 0.076 s
% 10.55/2.33 % (1763976)Peak memory usage: 89 MB
% 10.55/2.33 % (1763976)Instructions burned: 119 (million)
% 10.55/2.33 % (1763981)lrs+10_1_sil=8000:sp=occurrence:random_seed=3086297717:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.55/2.33 % (1763977)Instruction limit reached!
% 10.55/2.33 % (1763977)------------------------------
% 10.55/2.33 % (1763977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.33 % (1763977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.33 % (1763977)CaDiCaL version: 2.1.3
% 10.55/2.33 % (1763977)Termination reason: Instruction limit
% 10.55/2.33 % (1763977)Termination phase: Saturation
% 10.55/2.33 % (1763977)Time elapsed: 0.103 s
% 10.55/2.33 % (1763977)Peak memory usage: 90 MB
% 10.55/2.33 % (1763977)Instructions burned: 139 (million)
% 10.55/2.33 % (1763981)Instruction limit reached!
% 10.55/2.33 % (1763981)------------------------------
% 10.55/2.33 % (1763981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.33 % (1763981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.33 % (1763981)CaDiCaL version: 2.1.3
% 10.55/2.33 % (1763981)Termination reason: Instruction limit
% 10.55/2.33 % (1763981)Termination phase: Saturation
% 10.55/2.33 % (1763981)Time elapsed: 0.097 s
% 10.55/2.33 % (1763981)Peak memory usage: 92 MB
% 10.55/2.33 % (1763981)Instructions burned: 287 (million)
% 10.55/2.40 % (1763988)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3078703365:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.55/2.40 % (1763989)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1850289802:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.55/2.40 % (1763975)------------------------------
% 10.55/2.40 % (1763975)------------------------------
% 10.55/2.40 % (1763990)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=581814523:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 10.55/2.40 % (1763988)Instruction limit reached!
% 10.55/2.40 % (1763988)------------------------------
% 10.55/2.40 % (1763988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.40 % (1763988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.40 % (1763988)CaDiCaL version: 2.1.3
% 10.55/2.40 % (1763988)Termination reason: Instruction limit
% 10.55/2.40 % (1763988)Termination phase: Saturation
% 10.55/2.40 % (1763988)Time elapsed: 0.079 s
% 10.55/2.40 % (1763988)Peak memory usage: 90 MB
% 10.55/2.40 % (1763988)Instructions burned: 160 (million)
% 10.55/2.40 % (1763990)Instruction limit reached!
% 10.55/2.40 % (1763990)------------------------------
% 10.55/2.40 % (1763990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.40 % (1763990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.40 % (1763990)CaDiCaL version: 2.1.3
% 10.55/2.40 % (1763990)Termination reason: Instruction limit
% 10.55/2.40 % (1763990)Termination phase: Saturation
% 10.55/2.40 % (1763990)Time elapsed: 0.080 s
% 10.55/2.40 % (1763990)Peak memory usage: 92 MB
% 10.55/2.40 % (1763990)Instructions burned: 251 (million)
% 10.55/2.40 % (1763993)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3686492186:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 10.55/2.40 % (1763995)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2212726930:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 10.55/2.40 % (1763996)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3485663952:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 10.55/2.40 % (1763989)Instruction limit reached!
% 10.55/2.40 % (1763989)------------------------------
% 10.55/2.40 % (1763989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.40 % (1763989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.40 % (1763989)CaDiCaL version: 2.1.3
% 10.55/2.40 % (1763989)Termination reason: Instruction limit
% 10.55/2.40 % (1763989)Termination phase: Saturation
% 10.55/2.40 % (1763989)Time elapsed: 0.221 s
% 10.55/2.40 % (1763989)Peak memory usage: 92 MB
% 10.55/2.40 % (1763989)Instructions burned: 326 (million)
% 10.55/2.40 % (1763996)Instruction limit reached!
% 10.55/2.40 % (1763996)------------------------------
% 10.55/2.40 % (1763996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.40 % (1763996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.40 % (1763996)CaDiCaL version: 2.1.3
% 10.55/2.40 % (1763996)Termination reason: Instruction limit
% 10.55/2.40 % (1763996)Termination phase: Saturation
% 10.55/2.40 % (1763996)Time elapsed: 0.040 s
% 10.55/2.40 % (1763996)Peak memory usage: 89 MB
% 10.55/2.40 % (1763996)Instructions burned: 114 (million)
% 10.55/2.40 % (1763993)Instruction limit reached!
% 10.55/2.40 % (1763993)------------------------------
% 10.55/2.40 % (1763993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.40 % (1763993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.40 % (1763993)CaDiCaL version: 2.1.3
% 10.55/2.40 % (1763993)Termination reason: Instruction limit
% 10.55/2.40 % (1763993)Termination phase: Saturation
% 10.55/2.40 % (1763993)Time elapsed: 0.181 s
% 10.55/2.40 % (1763993)Peak memory usage: 90 MB
% 10.55/2.40 % (1763993)Instructions burned: 295 (million)
% 10.55/2.40 % (1764001)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=342486935:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 10.55/2.40 % (1764000)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2014917268:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 10.55/2.40 % (1764001)Instruction limit reached!
% 10.55/2.40 % (1764001)------------------------------
% 10.55/2.40 % (1764001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.40 % (1764001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.40 % (1764001)CaDiCaL version: 2.1.3
% 10.55/2.40 % (1764001)Termination reason: Instruction limit
% 10.55/2.40 % (1764001)Termination phase: Saturation
% 10.55/2.40 % (1764001)Time elapsed: 0.037 s
% 10.55/2.40 % (1764001)Peak memory usage: 89 MB
% 10.55/2.40 % (1764001)Instructions burned: 114 (million)
% 10.55/2.40 % (1764000)Instruction limit reached!
% 10.55/2.40 % (1764000)------------------------------
% 10.55/2.40 % (1764000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.40 % (1764000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.40 % (1764000)CaDiCaL version: 2.1.3
% 10.55/2.40 % (1764000)Termination reason: Instruction limit
% 10.55/2.40 % (1764000)Termination phase: Saturation
% 10.55/2.40 % (1764000)Time elapsed: 0.071 s
% 10.55/2.40 % (1764000)Peak memory usage: 89 MB
% 10.55/2.40 % (1764000)Instructions burned: 129 (million)
% 10.55/2.40 % (1764003)lrs+10_1_sil=8000:sp=occurrence:random_seed=3438907059:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 10.55/2.40 % (1764005)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1977095354:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 10.55/2.40 % (1764005)Refutation not found, incomplete strategy
% 10.55/2.40 % (1764005)------------------------------
% 10.55/2.40 % (1764005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.40 % (1764005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.40 % (1764005)CaDiCaL version: 2.1.3
% 10.55/2.40 % (1764005)Termination reason: Refutation not found, incomplete strategy
% 10.55/2.40 % (1764005)Time elapsed: 0.001 s
% 10.55/2.40 % (1764005)Peak memory usage: 88 MB
% 10.55/2.40 % (1764005)Instructions burned: 1 (million)
% 10.55/2.40 % (1764006)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=190257308:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 10.55/2.40 % (1764005)------------------------------
% 10.55/2.40 % (1764005)------------------------------
% 10.55/2.40 % (1764010)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4191737546:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 10.55/2.40 % (1764010)Instruction limit reached!
% 10.55/2.40 % (1764010)------------------------------
% 10.55/2.40 % (1764010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.40 % (1764010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.40 % (1764010)CaDiCaL version: 2.1.3
% 10.55/2.40 % (1764010)Termination reason: Instruction limit
% 10.55/2.40 % (1764010)Termination phase: Saturation
% 10.55/2.40 % (1764010)Time elapsed: 0.041 s
% 10.55/2.40 % (1764010)Peak memory usage: 90 MB
% 10.55/2.40 % (1764010)Instructions burned: 137 (million)
% 10.55/2.40 % (1764012)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=428259131:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 10.55/2.40 % (1763972)First to succeed.
% 10.55/2.40 % (1763972)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1763967"
% 10.55/2.40 % (1763995)Also succeeded, but the first one will report.
% 10.55/2.40 % (1764003)Instruction limit reached!
% 10.55/2.40 % (1764003)------------------------------
% 10.55/2.40 % (1764003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.40 % (1764003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.40 % (1764003)CaDiCaL version: 2.1.3
% 10.55/2.40 % (1764003)Termination reason: Instruction limit
% 10.55/2.40 % (1764003)Termination phase: Saturation
% 10.55/2.40 % (1764003)Time elapsed: 0.562 s
% 10.55/2.40 % (1764003)Peak memory usage: 99 MB
% 10.55/2.40 % (1764003)Instructions burned: 907 (million)
% 10.55/2.40 % (1764012)Instruction limit reached!
% 10.55/2.40 % (1764012)------------------------------
% 10.55/2.40 % (1764012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.40 % (1764012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.40 % (1764012)CaDiCaL version: 2.1.3
% 10.55/2.40 % (1764012)Termination reason: Instruction limit
% 10.55/2.40 % (1764012)Termination phase: Saturation
% 10.55/2.40 % (1764012)Time elapsed: 0.194 s
% 10.55/2.40 % (1764012)Peak memory usage: 93 MB
% 10.55/2.40 % (1764012)Instructions burned: 593 (million)
% 10.55/2.40 % (1764015)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=132966504:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/125Mi)
% 10.55/2.40 % (1764015)Instruction limit reached!
% 10.55/2.40 % (1764015)------------------------------
% 10.55/2.40 % (1764015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.40 % (1764015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.40 % (1764015)CaDiCaL version: 2.1.3
% 10.55/2.40 % (1764015)Termination reason: Instruction limit
% 10.55/2.40 % (1764015)Termination phase: Saturation
% 10.55/2.40 % (1764015)Time elapsed: 0.041 s
% 10.55/2.40 % (1764015)Peak memory usage: 91 MB
% 10.55/2.40 % (1764015)Instructions burned: 127 (million)
% 10.55/2.40 % (1764014)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3307145117:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 10.55/2.40 % (1763972)Refutation found. Thanks to Tanya!
% 10.55/2.40 % SZS status Theorem for theBenchmark
% 10.55/2.40 % SZS output start Proof for theBenchmark
% See solution above
% 11.44/2.60 % (1763972)------------------------------
% 11.44/2.60 % (1763972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/2.60 % (1763972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.60 % (1763972)CaDiCaL version: 2.1.3
% 11.44/2.60 % (1763972)Termination reason: Refutation
% 11.44/2.60 % (1763972)Time elapsed: 1.143 s
% 11.44/2.60 % (1763972)Peak memory usage: 135 MB
% 11.44/2.60 % (1763972)Instructions burned: 1785 (million)
% 11.44/2.60 % (1763972)------------------------------
% 11.44/2.60 % (1763972)------------------------------
% 11.44/2.60 % (1763967)Success in time 1.545 s
% 11.44/2.60 % Vampire exiting
%------------------------------------------------------------------------------