%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWB024+2 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 04:05:16 PM UTC 2025
% Result : Theorem 3.06s 0.74s
% Output : CNFRefutation 3.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 17 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 78 ( 30 ~; 27 |; 14 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-3 aty)
% Number of variables : 29 ( 0 sgn 12 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties,plain,
? [BNODE_x] :
( iext(uri_ex_hasAncestor,uri_ex_bob,BNODE_x)
& iext(uri_ex_hasAncestor,uri_ex_alice,BNODE_x) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties) ).
fof(testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties_negated,plain,
~ ? [BNODE_x] :
( iext(uri_ex_hasAncestor,uri_ex_bob,BNODE_x)
& iext(uri_ex_hasAncestor,uri_ex_alice,BNODE_x) ),
inference(negate_conjecture,[status(cth)],[testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties]) ).
cnf(14,plain,
( ~ iext(uri_ex_hasAncestor,uri_ex_bob,X0)
| ~ iext(uri_ex_hasAncestor,uri_ex_alice,X0) ),
inference(cnf,[status(esa)],[testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties_negated]) ).
cnf(l0,plain,
( ~ iext(uri_ex_hasAncestor,uri_ex_bob,sK1(sK7,uri_ex_hasAncestor,uri_ex_bob))
| ~ iext(uri_ex_hasAncestor,uri_ex_alice,sK1(sK7,uri_ex_hasAncestor,uri_ex_bob)) ),
inference(instantiation,[status(thm)],[14]) ).
fof(owl_restrict_mincard_001,plain,
! [Z,P] :
( ( iext(uri_owl_minCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,Z,P) )
=> ! [X] :
( icext(Z,X)
<=> ? [Y] : iext(P,X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_mincard_001) ).
cnf(2,plain,
( ~ iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ icext(X0,X2)
| iext(X1,X2,sK1(X0,X1,X2)) ),
inference(cnf,[status(esa)],[owl_restrict_mincard_001]) ).
cnf(l1,plain,
( ~ iext(uri_owl_minCardinality,sK7,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,sK7,uri_ex_hasAncestor)
| ~ icext(sK7,uri_ex_bob)
| iext(uri_ex_hasAncestor,uri_ex_bob,sK1(sK7,uri_ex_hasAncestor,uri_ex_bob)) ),
inference(instantiation,[status(thm)],[2]) ).
fof(testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties,plain,
? [BNODE_z] :
( iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty)
& iext(uri_rdfs_subClassOf,uri_ex_Person,BNODE_z)
& iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
& iext(uri_owl_onProperty,BNODE_z,uri_ex_hasAncestor)
& iext(uri_owl_minCardinality,BNODE_z,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) ).
cnf(18,plain,
iext(uri_owl_onProperty,sK7,uri_ex_hasAncestor),
inference(cnf,[status(esa)],[testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties]) ).
cnf(l10,plain,
iext(uri_owl_onProperty,sK7,uri_ex_hasAncestor),
inference(instantiation,[status(thm)],[18]) ).
fof(owl_char_transitive,plain,
! [P] :
( icext(uri_owl_TransitiveProperty,P)
<=> ( ip(P)
& ! [X,Y,Z] :
( ( iext(P,X,Y)
& iext(P,Y,Z) )
=> iext(P,X,Z) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_transitive) ).
cnf(10,plain,
( ~ iext(X0,X1,X2)
| ~ iext(X0,X2,X3)
| ~ icext(uri_owl_TransitiveProperty,X0)
| iext(X0,X1,X3) ),
inference(cnf,[status(esa)],[owl_char_transitive]) ).
cnf(l3,plain,
( ~ iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob)
| ~ iext(uri_ex_hasAncestor,uri_ex_bob,sK1(sK7,uri_ex_hasAncestor,uri_ex_bob))
| ~ icext(uri_owl_TransitiveProperty,uri_ex_hasAncestor)
| iext(uri_ex_hasAncestor,uri_ex_alice,sK1(sK7,uri_ex_hasAncestor,uri_ex_bob)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(19,plain,
iext(uri_owl_minCardinality,sK7,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(cnf,[status(esa)],[testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties]) ).
cnf(l5,plain,
iext(uri_owl_minCardinality,sK7,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(instantiation,[status(thm)],[19]) ).
fof(rdfs_cext_def,plain,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
cnf(0,plain,
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf,[status(esa)],[rdfs_cext_def]) ).
cnf(l12,plain,
( ~ iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty)
| icext(uri_owl_TransitiveProperty,uri_ex_hasAncestor) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l16,plain,
( ~ iext(uri_owl_minCardinality,sK7,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,sK7,uri_ex_hasAncestor)
| ~ icext(sK7,uri_ex_bob)
| iext(uri_ex_hasAncestor,uri_ex_bob,sK1(sK7,uri_ex_hasAncestor,uri_ex_bob)) ),
inference(instantiation,[status(thm)],[2]) ).
fof(owl_rdfsext_subclassof,plain,
! [C1,C2] :
( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X] :
( icext(C1,X)
=> icext(C2,X) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
cnf(6,plain,
( ~ iext(uri_rdfs_subClassOf,X0,X1)
| ~ icext(X0,X2)
| icext(X1,X2) ),
inference(cnf,[status(esa)],[owl_rdfsext_subclassof]) ).
cnf(l2,plain,
( ~ iext(uri_rdfs_subClassOf,uri_ex_Person,sK7)
| ~ icext(uri_ex_Person,uri_ex_bob)
| icext(sK7,uri_ex_bob) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(15,plain,
iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty),
inference(cnf,[status(esa)],[testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties]) ).
cnf(l14,plain,
iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty),
inference(instantiation,[status(thm)],[15]) ).
cnf(l45,plain,
iext(uri_owl_minCardinality,sK7,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(instantiation,[status(thm)],[19]) ).
cnf(22,plain,
iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob),
inference(cnf,[status(esa)],[testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties]) ).
cnf(l7,plain,
iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob),
inference(instantiation,[status(thm)],[22]) ).
cnf(16,plain,
iext(uri_rdfs_subClassOf,uri_ex_Person,sK7),
inference(cnf,[status(esa)],[testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties]) ).
cnf(l13,plain,
iext(uri_rdfs_subClassOf,uri_ex_Person,sK7),
inference(instantiation,[status(thm)],[16]) ).
cnf(l9,plain,
( ~ iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
| icext(uri_ex_Person,uri_ex_bob) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l44,plain,
( ~ iext(uri_rdfs_subClassOf,uri_ex_Person,sK7)
| ~ icext(uri_ex_Person,uri_ex_bob)
| icext(sK7,uri_ex_bob) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l52,plain,
iext(uri_owl_onProperty,sK7,uri_ex_hasAncestor),
inference(instantiation,[status(thm)],[18]) ).
cnf(l152,plain,
( ~ iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
| icext(uri_ex_Person,uri_ex_bob) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(21,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_Person),
inference(cnf,[status(esa)],[testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties]) ).
cnf(l185,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_Person),
inference(instantiation,[status(thm)],[21]) ).
cnf(l96,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_Person),
inference(instantiation,[status(thm)],[21]) ).
cnf(l125,plain,
iext(uri_rdfs_subClassOf,uri_ex_Person,sK7),
inference(instantiation,[status(thm)],[16]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l10,l3,l5,l12,l16,l2,l14,l45,l7,l13,l9,l44,l52,l152,l185,l96,l125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWB024+2 : TPTP v9.0.0. Released v5.2.0.
% 0.10/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 22 04:12:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.35 % launching worker at depth: 11
% 0.19/0.43 % launching worker at depth: 12
% 3.06/0.74 % SZS status Theorem for theBenchmark
% 3.06/0.74 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------