%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB024+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 01:00:11 PM UTC 2026
% Result : Theorem 4.15s 1.53s
% Output : Refutation 5.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 12
% Syntax : Number of formulae : 83 ( 17 unt; 6 def)
% Number of atoms : 288 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 347 ( 142 ~; 126 |; 61 &)
% ( 15 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 7 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 13 con; 0-2 aty)
% Number of variables : 134 ( 0 sgn 114 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f2,axiom,
! [X0,X1] :
( ( iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,X0,X1) )
=> ! [X2] :
( icext(X0,X2)
<=> ? [X3] : iext(X1,X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_mincard_001) ).
fof(f3,axiom,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
=> icext(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
fof(f4,axiom,
! [X0] :
( icext(uri_owl_TransitiveProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( ( iext(X0,X1,X2)
& iext(X0,X2,X3) )
=> iext(X0,X1,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_transitive) ).
fof(f5,conjecture,
? [X0] :
( iext(uri_ex_hasAncestor,uri_ex_bob,X0)
& iext(uri_ex_hasAncestor,uri_ex_alice,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties) ).
fof(f6,negated_conjecture,
~ ? [X0] :
( iext(uri_ex_hasAncestor,uri_ex_bob,X0)
& iext(uri_ex_hasAncestor,uri_ex_alice,X0) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,axiom,
? [X0] :
( iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty)
& iext(uri_rdfs_subClassOf,uri_ex_Person,X0)
& iext(uri_rdf_type,X0,uri_owl_Restriction)
& iext(uri_owl_onProperty,X0,uri_ex_hasAncestor)
& iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
& iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties) ).
fof(f8,plain,
! [X0,X1] :
( ! [X2] :
( icext(X0,X2)
<=> ? [X3] : iext(X1,X2,X3) )
| ~ iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f9,plain,
! [X0,X1] :
( ! [X2] :
( icext(X0,X2)
<=> ? [X3] : iext(X1,X2,X3) )
| ~ iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f11,plain,
! [X0] :
( icext(uri_owl_TransitiveProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( iext(X0,X1,X3)
| ~ iext(X0,X1,X2)
| ~ iext(X0,X2,X3) ) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f12,plain,
! [X0] :
( icext(uri_owl_TransitiveProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( iext(X0,X1,X3)
| ~ iext(X0,X1,X2)
| ~ iext(X0,X2,X3) ) ) ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
! [X0] :
( ~ iext(uri_ex_hasAncestor,uri_ex_bob,X0)
| ~ iext(uri_ex_hasAncestor,uri_ex_alice,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f14,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f15,plain,
! [X0,X1] :
( ! [X2] :
( ( icext(X0,X2)
| ! [X3] : ~ iext(X1,X2,X3) )
& ( ? [X3] : iext(X1,X2,X3)
| ~ icext(X0,X2) ) )
| ~ iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(nnf_transformation,[],[f9]) ).
fof(f16,plain,
! [X0,X1] :
( ! [X2] :
( ( icext(X0,X2)
| ! [X3] : ~ iext(X1,X2,X3) )
& ( ? [X4] : iext(X1,X2,X4)
| ~ icext(X0,X2) ) )
| ~ iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(rectify,[],[f15]) ).
fof(f17,plain,
! [X0,X1] :
( ! [X2] :
( ( icext(X0,X2)
| ! [X3] : ~ iext(X1,X2,X3) )
& ( iext(X1,X2,sK0(X1,X2))
| ~ icext(X0,X2) ) )
| ~ iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X4,sK0(X1,X2))],[f16]) ).
fof(f18,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f19,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( icext(X1,X3)
| ~ icext(X0,X3) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(rectify,[],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( ~ icext(X1,sK1(X0,X1))
& icext(X0,sK1(X0,X1)) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( icext(X1,X3)
| ~ icext(X0,X3) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f20]) ).
fof(f22,plain,
! [X0] :
( ( icext(uri_owl_TransitiveProperty,X0)
| ~ ip(X0)
| ? [X1,X2,X3] :
( ~ iext(X0,X1,X3)
& iext(X0,X1,X2)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ! [X1,X2,X3] :
( iext(X0,X1,X3)
| ~ iext(X0,X1,X2)
| ~ iext(X0,X2,X3) ) )
| ~ icext(uri_owl_TransitiveProperty,X0) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f23,plain,
! [X0] :
( ( icext(uri_owl_TransitiveProperty,X0)
| ~ ip(X0)
| ? [X1,X2,X3] :
( ~ iext(X0,X1,X3)
& iext(X0,X1,X2)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ! [X1,X2,X3] :
( iext(X0,X1,X3)
| ~ iext(X0,X1,X2)
| ~ iext(X0,X2,X3) ) )
| ~ icext(uri_owl_TransitiveProperty,X0) ) ),
inference(flattening,[],[f22]) ).
fof(f24,plain,
! [X0] :
( ( icext(uri_owl_TransitiveProperty,X0)
| ~ ip(X0)
| ? [X1,X2,X3] :
( ~ iext(X0,X1,X3)
& iext(X0,X1,X2)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ! [X4,X5,X6] :
( iext(X0,X4,X6)
| ~ iext(X0,X4,X5)
| ~ iext(X0,X5,X6) ) )
| ~ icext(uri_owl_TransitiveProperty,X0) ) ),
inference(rectify,[],[f23]) ).
fof(f25,plain,
! [X0] :
( ( icext(uri_owl_TransitiveProperty,X0)
| ~ ip(X0)
| ( ~ iext(X0,sK2(X0),sK4(X0))
& iext(X0,sK2(X0),sK3(X0))
& iext(X0,sK3(X0),sK4(X0)) ) )
& ( ( ip(X0)
& ! [X4,X5,X6] :
( iext(X0,X4,X6)
| ~ iext(X0,X4,X5)
| ~ iext(X0,X5,X6) ) )
| ~ icext(uri_owl_TransitiveProperty,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X1,sK2(X0)),skolemize(X2,sK3(X0)),skolemize(X3,sK4(X0))],[f24]) ).
fof(f26,plain,
( iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty)
& iext(uri_rdfs_subClassOf,uri_ex_Person,sK5)
& iext(uri_rdf_type,sK5,uri_owl_Restriction)
& iext(uri_owl_onProperty,sK5,uri_ex_hasAncestor)
& iext(uri_owl_minCardinality,sK5,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
& iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X0,sK5)],[f7]) ).
fof(f27,plain,
! [X0,X1] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f28,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ icext(X0,X2)
| iext(X1,X2,sK0(X1,X2))
| ~ iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f31,plain,
! [X3,X0,X1] :
( icext(X1,X3)
| ~ icext(X0,X3)
| ~ iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f36,plain,
! [X0,X6,X4,X5] :
( ~ icext(uri_owl_TransitiveProperty,X0)
| ~ iext(X0,X4,X5)
| ~ iext(X0,X5,X6)
| iext(X0,X4,X6) ),
inference(cnf_transformation,[],[f25]) ).
fof(f41,plain,
! [X0] :
( ~ iext(uri_ex_hasAncestor,uri_ex_alice,X0)
| ~ iext(uri_ex_hasAncestor,uri_ex_bob,X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f42,plain,
iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob),
inference(cnf_transformation,[],[f26]) ).
fof(f43,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_Person),
inference(cnf_transformation,[],[f26]) ).
fof(f45,plain,
iext(uri_owl_minCardinality,sK5,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(cnf_transformation,[],[f26]) ).
fof(f46,plain,
iext(uri_owl_onProperty,sK5,uri_ex_hasAncestor),
inference(cnf_transformation,[],[f26]) ).
fof(f48,plain,
iext(uri_rdfs_subClassOf,uri_ex_Person,sK5),
inference(cnf_transformation,[],[f26]) ).
fof(f49,plain,
iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty),
inference(cnf_transformation,[],[f26]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ icext(X0,X1)
| ~ iext(uri_rdfs_subClassOf,X0,X2)
| iext(uri_rdf_type,X1,X2) ),
inference(resolution,[],[f31,f28]) ).
fof(f58,plain,
! [X2,X0,X1] :
( iext(uri_rdf_type,X2,X1)
| ~ iext(uri_rdfs_subClassOf,X0,X1)
| ~ iext(uri_rdf_type,X2,X0) ),
inference(resolution,[],[f52,f27]) ).
fof(f61,plain,
! [X2,X3,X0,X1] :
( iext(X0,X1,X3)
| ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X2)
| ~ iext(uri_rdf_type,X0,uri_owl_TransitiveProperty) ),
inference(resolution,[],[f36,f27]) ).
fof(f90,plain,
! [X2,X0,X1] :
( iext(X0,X1,sK0(X0,X1))
| ~ iext(uri_owl_minCardinality,X2,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X2,X0)
| ~ iext(uri_rdf_type,X1,X2) ),
inference(resolution,[],[f29,f27]) ).
fof(f93,plain,
! [X0,X1] :
( ~ iext(uri_ex_hasAncestor,X0,X1)
| ~ iext(uri_ex_hasAncestor,uri_ex_alice,X0)
| ~ iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty)
| ~ iext(uri_ex_hasAncestor,uri_ex_bob,X1) ),
inference(resolution,[],[f61,f41]) ).
fof(f106,definition,
( spl6_7
<=> iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty) ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
fof(f107,plain,
( ~ iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty)
| spl6_7 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f113,definition,
( spl6_9
<=> ! [X0,X1] :
( ~ iext(uri_ex_hasAncestor,X0,X1)
| ~ iext(uri_ex_hasAncestor,uri_ex_bob,X1)
| ~ iext(uri_ex_hasAncestor,uri_ex_alice,X0) ) ),
introduced(definition,[new_symbols(definition,[spl6_9])],[avatar_definition]) ).
fof(f114,plain,
( ! [X0,X1] :
( ~ iext(uri_ex_hasAncestor,X0,X1)
| ~ iext(uri_ex_hasAncestor,uri_ex_bob,X1)
| ~ iext(uri_ex_hasAncestor,uri_ex_alice,X0) )
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f115,plain,
( ~ spl6_7
| spl6_9 ),
inference(avatar_split_clause,[],[f93,f113,f106]) ).
fof(f116,plain,
( $false
| spl6_7 ),
inference(resolution,[],[f107,f49]) ).
fof(f119,plain,
spl6_7,
inference(avatar_contradiction_clause,[],[f116]) ).
fof(f143,plain,
( ! [X0] :
( ~ iext(uri_ex_hasAncestor,uri_ex_bob,X0)
| ~ iext(uri_ex_hasAncestor,uri_ex_bob,X0) )
| ~ spl6_9 ),
inference(resolution,[],[f114,f42]) ).
fof(f147,plain,
( ! [X0] : ~ iext(uri_ex_hasAncestor,uri_ex_bob,X0)
| ~ spl6_9 ),
inference(duplicate_literal_removal,[],[f143]) ).
fof(f152,definition,
( spl6_15
<=> ! [X0] : ~ iext(uri_ex_hasAncestor,uri_ex_bob,X0) ),
introduced(definition,[new_symbols(definition,[spl6_15])],[avatar_definition]) ).
fof(f153,plain,
( ! [X0] : ~ iext(uri_ex_hasAncestor,uri_ex_bob,X0)
| ~ spl6_15 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f159,plain,
( spl6_15
| ~ spl6_9 ),
inference(avatar_split_clause,[],[f147,f113,f152]) ).
fof(f180,plain,
( ! [X0] :
( ~ iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,uri_ex_hasAncestor)
| ~ iext(uri_rdf_type,uri_ex_bob,X0) )
| ~ spl6_15 ),
inference(resolution,[],[f90,f153]) ).
fof(f187,definition,
( spl6_20
<=> ! [X0] :
( ~ iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_rdf_type,uri_ex_bob,X0)
| ~ iext(uri_owl_onProperty,X0,uri_ex_hasAncestor) ) ),
introduced(definition,[new_symbols(definition,[spl6_20])],[avatar_definition]) ).
fof(f188,plain,
( ! [X0] :
( ~ iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_rdf_type,uri_ex_bob,X0)
| ~ iext(uri_owl_onProperty,X0,uri_ex_hasAncestor) )
| ~ spl6_20 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f190,plain,
( spl6_20
| ~ spl6_15 ),
inference(avatar_split_clause,[],[f180,f152,f187]) ).
fof(f191,plain,
( ~ iext(uri_rdf_type,uri_ex_bob,sK5)
| ~ iext(uri_owl_onProperty,sK5,uri_ex_hasAncestor)
| ~ spl6_20 ),
inference(resolution,[],[f188,f45]) ).
fof(f194,definition,
( spl6_21
<=> iext(uri_owl_onProperty,sK5,uri_ex_hasAncestor) ),
introduced(definition,[new_symbols(definition,[spl6_21])],[avatar_definition]) ).
fof(f195,plain,
( ~ iext(uri_owl_onProperty,sK5,uri_ex_hasAncestor)
| spl6_21 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f197,definition,
( spl6_22
<=> iext(uri_rdf_type,uri_ex_bob,sK5) ),
introduced(definition,[new_symbols(definition,[spl6_22])],[avatar_definition]) ).
fof(f198,plain,
( ~ iext(uri_rdf_type,uri_ex_bob,sK5)
| spl6_22 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f199,plain,
( ~ spl6_21
| ~ spl6_22
| ~ spl6_20 ),
inference(avatar_split_clause,[],[f191,f187,f197,f194]) ).
fof(f200,plain,
( $false
| spl6_21 ),
inference(resolution,[],[f195,f46]) ).
fof(f202,plain,
spl6_21,
inference(avatar_contradiction_clause,[],[f200]) ).
fof(f225,plain,
( ! [X0] :
( ~ iext(uri_rdfs_subClassOf,X0,sK5)
| ~ iext(uri_rdf_type,uri_ex_bob,X0) )
| spl6_22 ),
inference(resolution,[],[f198,f58]) ).
fof(f254,plain,
( ~ iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
| spl6_22 ),
inference(resolution,[],[f225,f48]) ).
fof(f288,plain,
( $false
| spl6_22 ),
inference(resolution,[],[f254,f43]) ).
fof(f293,plain,
spl6_22,
inference(avatar_contradiction_clause,[],[f288]) ).
cnf(s5,plain,
( ~ spl6_7
| spl6_9 ),
inference(sat_conversion,[],[f115]) ).
cnf(s6,plain,
spl6_7,
inference(sat_conversion,[],[f119]) ).
cnf(s13,plain,
( ~ spl6_9
| spl6_15 ),
inference(sat_conversion,[],[f159]) ).
cnf(s18,plain,
( ~ spl6_15
| spl6_20 ),
inference(sat_conversion,[],[f190]) ).
cnf(s19,plain,
( ~ spl6_20
| ~ spl6_21
| ~ spl6_22 ),
inference(sat_conversion,[],[f199]) ).
cnf(s20,plain,
spl6_21,
inference(sat_conversion,[],[f202]) ).
cnf(s30,plain,
spl6_22,
inference(sat_conversion,[],[f293]) ).
cnf(s33,plain,
~ spl6_20,
inference(rat,[],[s19,s30,s20]) ).
cnf(s34,plain,
~ spl6_15,
inference(rat,[],[s18,s33]) ).
cnf(s36,plain,
~ spl6_9,
inference(rat,[],[s13,s34]) ).
cnf(s37,plain,
$false,
inference(rat,[],[s5,s36,s6]) ).
fof(f301,plain,
$false,
inference(avatar_sat_refutation,[],[s37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB024+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.36 % Computer : n026.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % 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 07:07:56 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 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
% 4.15/1.53 % (3667528)Detected formulas, will run a generic FOF schedule.
% 4.15/1.53 % (3667538)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=3714494091:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.15/1.53 % (3667541)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3351341345:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.15/1.53 % (3667541)Refutation not found, incomplete strategy
% 4.15/1.53 % (3667541)------------------------------
% 4.15/1.53 % (3667541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.53 % (3667541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.53 % (3667541)CaDiCaL version: 2.1.3
% 4.15/1.53 % (3667541)Termination reason: Refutation not found, incomplete strategy
% 4.15/1.53 % (3667541)Time elapsed: 0.001 s
% 4.15/1.53 % (3667541)Peak memory usage: 86 MB
% 4.15/1.53 % (3667543)dis-21_1_sil=8000:lcm=predicate:random_seed=3102423368: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)
% 4.15/1.53 % (3667537)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=3622035759:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.15/1.53 % (3667539)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=1360272950:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.15/1.53 % (3667543)First to succeed.
% 4.15/1.53 % (3667543)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3667528"
% 4.15/1.53 % (3667540)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=309837386:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.15/1.53 % (3667540)Refutation not found, incomplete strategy
% 4.15/1.53 % (3667540)------------------------------
% 4.15/1.53 % (3667540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.53 % (3667540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.53 % (3667540)CaDiCaL version: 2.1.3
% 4.15/1.53 % (3667540)Termination reason: Refutation not found, incomplete strategy
% 4.15/1.53 % (3667540)Time elapsed: 0.001 s
% 4.15/1.53 % (3667540)Peak memory usage: 86 MB
% 4.15/1.53 % (3667542)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3398472097:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.15/1.53 % (3667542)Also succeeded, but the first one will report.
% 4.15/1.53 % (3667541)------------------------------
% 4.15/1.53 % (3667541)------------------------------
% 4.15/1.53 % (3667543)Refutation found. Thanks to Tanya!
% 4.15/1.53 % SZS status Theorem for theBenchmark
% 4.15/1.53 % SZS output start Proof for theBenchmark
% See solution above
% 5.17/1.86 % (3667543)------------------------------
% 5.17/1.86 % (3667543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.86 % (3667543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.86 % (3667543)CaDiCaL version: 2.1.3
% 5.17/1.86 % (3667543)Termination reason: Refutation
% 5.17/1.86 % (3667543)Time elapsed: 0.011 s
% 5.17/1.86 % (3667543)Peak memory usage: 89 MB
% 5.17/1.86 % (3667543)Instructions burned: 7 (million)
% 5.17/1.86 % (3667543)------------------------------
% 5.17/1.86 % (3667543)------------------------------
% 5.17/1.86 % (3667528)Success in time 0.624 s
% 5.17/1.86 % Vampire exiting
%------------------------------------------------------------------------------