%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWB024+2 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n014.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 : Sat Jun 21 05:29:39 AM UTC 2025
% Result : Theorem 0.12s 0.36s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB024+2 : TPTP v9.0.0. Released v5.2.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.12/0.32 % Computer : n014.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri Jun 20 07:52:24 EDT 2025
% 0.12/0.32 % CPUTime :
% 0.12/0.36 % SZS status Theorem
% 0.12/0.36 % SZS output start Proof
% 0.12/0.36 tff(iext_type, type, (
% 0.12/0.36 iext: ( $i * $i * $i ) > $o)).
% 0.12/0.36 tff(tptp_fun_Y_0_type, type, (
% 0.12/0.36 tptp_fun_Y_0: ( $i * $i ) > $i)).
% 0.12/0.36 tff(uri_ex_hasAncestor_type, type, (
% 0.12/0.36 uri_ex_hasAncestor: $i)).
% 0.12/0.36 tff(uri_ex_bob_type, type, (
% 0.12/0.36 uri_ex_bob: $i)).
% 0.12/0.36 tff(uri_ex_alice_type, type, (
% 0.12/0.36 uri_ex_alice: $i)).
% 0.12/0.36 tff(icext_type, type, (
% 0.12/0.36 icext: ( $i * $i ) > $o)).
% 0.12/0.36 tff(tptp_fun_BNODE_z_5_type, type, (
% 0.12/0.36 tptp_fun_BNODE_z_5: $i)).
% 0.12/0.36 tff(literal_typed_type, type, (
% 0.12/0.36 literal_typed: ( $i * $i ) > $i)).
% 0.12/0.36 tff(uri_xsd_nonNegativeInteger_type, type, (
% 0.12/0.36 uri_xsd_nonNegativeInteger: $i)).
% 0.12/0.36 tff(dat_str_1_type, type, (
% 0.12/0.36 dat_str_1: $i)).
% 0.12/0.36 tff(uri_owl_minCardinality_type, type, (
% 0.12/0.36 uri_owl_minCardinality: $i)).
% 0.12/0.36 tff(uri_ex_Person_type, type, (
% 0.12/0.36 uri_ex_Person: $i)).
% 0.12/0.36 tff(uri_rdf_type_type, type, (
% 0.12/0.36 uri_rdf_type: $i)).
% 0.12/0.36 tff(uri_owl_onProperty_type, type, (
% 0.12/0.36 uri_owl_onProperty: $i)).
% 0.12/0.36 tff(uri_owl_Restriction_type, type, (
% 0.12/0.36 uri_owl_Restriction: $i)).
% 0.12/0.36 tff(uri_rdfs_subClassOf_type, type, (
% 0.12/0.36 uri_rdfs_subClassOf: $i)).
% 0.12/0.36 tff(uri_owl_TransitiveProperty_type, type, (
% 0.12/0.36 uri_owl_TransitiveProperty: $i)).
% 0.12/0.36 tff(ic_type, type, (
% 0.12/0.36 ic: $i > $o)).
% 0.12/0.36 tff(tptp_fun_X_1_type, type, (
% 0.12/0.36 tptp_fun_X_1: ( $i * $i ) > $i)).
% 0.12/0.36 tff(ip_type, type, (
% 0.12/0.36 ip: $i > $o)).
% 0.12/0.36 tff(tptp_fun_Z_2_type, type, (
% 0.12/0.36 tptp_fun_Z_2: $i > $i)).
% 0.12/0.36 tff(tptp_fun_X_4_type, type, (
% 0.12/0.36 tptp_fun_X_4: $i > $i)).
% 0.12/0.36 tff(tptp_fun_Y_3_type, type, (
% 0.12/0.36 tptp_fun_Y_3: $i > $i)).
% 0.12/0.36 tff(1,plain,
% 0.12/0.36 (?[BNODE_z: $i] : (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)) <=> ?[BNODE_z: $i] : (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))),
% 0.12/0.36 inference(rewrite,[status(thm)],[])).
% 0.12/0.36 tff(2,plain,
% 0.12/0.36 (^[BNODE_z: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((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_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_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_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)))), rewrite(((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_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_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_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_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_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))))), rewrite(((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_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_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_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_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_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)))), rewrite(((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_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_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_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_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_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)))), rewrite(((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_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_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_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_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)) <=> ((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)))), rewrite(((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)) <=> (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))), ((((((((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)) <=> (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))))),
% 0.12/0.37 inference(bind,[status(th)],[])).
% 0.12/0.37 tff(3,plain,
% 0.12/0.37 (?[BNODE_z: $i] : (((((((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)) <=> ?[BNODE_z: $i] : (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))),
% 0.12/0.37 inference(quant_intro,[status(thm)],[2])).
% 0.12/0.37 tff(4,axiom,(?[BNODE_z: $i] : (((((((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/sandbox/benchmark/theBenchmark.p','testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties')).
% 0.12/0.37 tff(5,plain,
% 0.12/0.37 (?[BNODE_z: $i] : (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))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.12/0.38 tff(6,plain,
% 0.12/0.38 (?[BNODE_z: $i] : (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))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.12/0.38 tff(7,plain,(
% 0.12/0.38 iext(uri_rdf_type, uri_ex_hasAncestor, uri_owl_TransitiveProperty) & iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5) & iext(uri_rdf_type, BNODE_z!5, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z!5, uri_ex_hasAncestor) & iext(uri_owl_minCardinality, BNODE_z!5, 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)),
% 0.12/0.38 inference(skolemize,[status(sab)],[6])).
% 0.12/0.38 tff(8,plain,
% 0.12/0.38 (iext(uri_owl_minCardinality, BNODE_z!5, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))),
% 0.12/0.38 inference(and_elim,[status(thm)],[7])).
% 0.12/0.38 tff(9,plain,
% 0.12/0.38 (iext(uri_owl_onProperty, BNODE_z!5, uri_ex_hasAncestor)),
% 0.12/0.38 inference(and_elim,[status(thm)],[7])).
% 0.12/0.38 tff(10,plain,
% 0.12/0.38 (^[Z: $i, P: $i] : refl(((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P)))) | (~(icext(Z, X) | ![Y: $i] : (~iext(P, X, Y))))))) <=> ((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P)))) | (~(icext(Z, X) | ![Y: $i] : (~iext(P, X, Y))))))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(11,plain,
% 0.12/0.38 (![Z: $i, P: $i] : ((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P)))) | (~(icext(Z, X) | ![Y: $i] : (~iext(P, X, Y))))))) <=> ![Z: $i, P: $i] : ((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P)))) | (~(icext(Z, X) | ![Y: $i] : (~iext(P, X, Y)))))))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[10])).
% 0.12/0.38 tff(12,plain,
% 0.12/0.38 (^[Z: $i, P: $i] : rewrite(((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P)))) | (~(icext(Z, X) | ![Y: $i] : (~iext(P, X, Y))))))) <=> ((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P)))) | (~(icext(Z, X) | ![Y: $i] : (~iext(P, X, Y))))))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(13,plain,
% 0.12/0.38 (![Z: $i, P: $i] : ((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P)))) | (~(icext(Z, X) | ![Y: $i] : (~iext(P, X, Y))))))) <=> ![Z: $i, P: $i] : ((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P)))) | (~(icext(Z, X) | ![Y: $i] : (~iext(P, X, Y)))))))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[12])).
% 0.12/0.38 tff(14,plain,
% 0.12/0.38 (![Z: $i, P: $i] : ((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P)))) | (~(icext(Z, X) | ![Y: $i] : (~iext(P, X, Y))))))) <=> ![Z: $i, P: $i] : ((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P)))) | (~(icext(Z, X) | ![Y: $i] : (~iext(P, X, Y)))))))),
% 0.12/0.38 inference(transitivity,[status(thm)],[13, 11])).
% 0.12/0.38 tff(15,plain,
% 0.12/0.38 (^[Z: $i, P: $i] : trans(monotonicity(trans(monotonicity(rewrite((iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger)) & iext(uri_owl_onProperty, Z, P)) <=> (~((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P))))), ((~(iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger)) & iext(uri_owl_onProperty, Z, P))) <=> (~(~((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P))))))), rewrite((~(~((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P))))) <=> ((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P)))), ((~(iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger)) & iext(uri_owl_onProperty, Z, P))) <=> ((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P))))), quant_intro(proof_bind(^[X: $i] : trans(monotonicity(rewrite((icext(Z, X) | ![Y: $i] : (~iext(P, X, Y))) <=> (icext(Z, X) | ![Y: $i] : (~iext(P, X, Y)))), ((((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P))) & (icext(Z, X) | ![Y: $i] : (~iext(P, X, Y)))) <=> (((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P))) & (icext(Z, X) | ![Y: $i] : (~iext(P, X, Y)))))), rewrite((((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P))) & (icext(Z, X) | ![Y: $i] : (~iext(P, X, Y)))) <=> (~((~((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P)))) | (~(icext(Z, X) | ![Y: $i] : (~iext(P, X, Y))))))), ((((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P))) & (icext(Z, X) | ![Y: $i] : (~iext(P, X, Y)))) <=> (~((~((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P)))) | (~(icext(Z, X) | ![Y: $i] : (~iext(P, X, Y))))))))), (![X: $i] : (((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P))) & (icext(Z, X) | ![Y: $i] : (~iext(P, X, Y)))) <=> ![X: $i] : (~((~((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P)))) | (~(icext(Z, X) | ![Y: $i] : (~iext(P, X, Y)))))))), (((~(iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger)) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P))) & (icext(Z, X) | ![Y: $i] : (~iext(P, X, Y))))) <=> (((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (~((~((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P)))) | (~(icext(Z, X) | ![Y: $i] : (~iext(P, X, Y))))))))), rewrite((((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (~((~((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P)))) | (~(icext(Z, X) | ![Y: $i] : (~iext(P, X, Y))))))) <=> ((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P)))) | (~(icext(Z, X) | ![Y: $i] : (~iext(P, X, Y)))))))), (((~(iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger)) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P))) & (icext(Z, X) | ![Y: $i] : (~iext(P, X, Y))))) <=> ((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P)))) | (~(icext(Z, X) | ![Y: $i] : (~iext(P, X, Y)))))))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(16,plain,
% 0.12/0.38 (![Z: $i, P: $i] : ((~(iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger)) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P))) & (icext(Z, X) | ![Y: $i] : (~iext(P, X, Y))))) <=> ![Z: $i, P: $i] : ((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P)))) | (~(icext(Z, X) | ![Y: $i] : (~iext(P, X, Y)))))))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[15])).
% 0.12/0.38 tff(17,plain,
% 0.12/0.38 (![Z: $i, P: $i] : ((~(iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger)) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : iext(P, X, Y))) <=> ![Z: $i, P: $i] : ((~(iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger)) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : iext(P, X, Y)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(18,plain,
% 0.12/0.38 (^[Z: $i, P: $i] : rewrite(((iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger)) & iext(uri_owl_onProperty, Z, P)) => ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : iext(P, X, Y))) <=> ((~(iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger)) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : iext(P, X, Y))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(19,plain,
% 0.12/0.38 (![Z: $i, P: $i] : ((iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger)) & iext(uri_owl_onProperty, Z, P)) => ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : iext(P, X, Y))) <=> ![Z: $i, P: $i] : ((~(iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger)) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : iext(P, X, Y)))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[18])).
% 0.12/0.38 tff(20,axiom,(![Z: $i, P: $i] : ((iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger)) & iext(uri_owl_onProperty, Z, P)) => ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : iext(P, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_restrict_mincard_001')).
% 0.12/0.38 tff(21,plain,
% 0.12/0.38 (![Z: $i, P: $i] : ((~(iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger)) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : iext(P, X, Y)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[20, 19])).
% 0.12/0.38 tff(22,plain,
% 0.12/0.38 (![Z: $i, P: $i] : ((~(iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger)) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : iext(P, X, Y)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[21, 17])).
% 0.12/0.38 tff(23,plain,(
% 0.12/0.38 ![Z: $i, P: $i] : ((~(iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger)) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P))) & (icext(Z, X) | ![Y: $i] : (~iext(P, X, Y)))))),
% 0.12/0.38 inference(skolemize,[status(sab)],[22])).
% 0.12/0.38 tff(24,plain,
% 0.12/0.38 (![Z: $i, P: $i] : ((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P)))) | (~(icext(Z, X) | ![Y: $i] : (~iext(P, X, Y)))))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[23, 16])).
% 0.12/0.38 tff(25,plain,
% 0.12/0.38 (![Z: $i, P: $i] : ((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P)))) | (~(icext(Z, X) | ![Y: $i] : (~iext(P, X, Y)))))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[24, 14])).
% 0.12/0.38 tff(26,plain,
% 0.12/0.38 (((~![Z: $i, P: $i] : ((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P)))) | (~(icext(Z, X) | ![Y: $i] : (~iext(P, X, Y)))))))) | (![X: $i] : (~((~((~icext(BNODE_z!5, X)) | iext(uri_ex_hasAncestor, X, tptp_fun_Y_0(X, uri_ex_hasAncestor)))) | (~(icext(BNODE_z!5, X) | ![Y: $i] : (~iext(uri_ex_hasAncestor, X, Y)))))) | (~iext(uri_owl_onProperty, BNODE_z!5, uri_ex_hasAncestor)) | (~iext(uri_owl_minCardinality, BNODE_z!5, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))))) <=> ((~![Z: $i, P: $i] : ((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P)))) | (~(icext(Z, X) | ![Y: $i] : (~iext(P, X, Y)))))))) | ![X: $i] : (~((~((~icext(BNODE_z!5, X)) | iext(uri_ex_hasAncestor, X, tptp_fun_Y_0(X, uri_ex_hasAncestor)))) | (~(icext(BNODE_z!5, X) | ![Y: $i] : (~iext(uri_ex_hasAncestor, X, Y)))))) | (~iext(uri_owl_onProperty, BNODE_z!5, uri_ex_hasAncestor)) | (~iext(uri_owl_minCardinality, BNODE_z!5, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(27,plain,
% 0.12/0.38 (((~iext(uri_owl_minCardinality, BNODE_z!5, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, BNODE_z!5, uri_ex_hasAncestor)) | ![X: $i] : (~((~((~icext(BNODE_z!5, X)) | iext(uri_ex_hasAncestor, X, tptp_fun_Y_0(X, uri_ex_hasAncestor)))) | (~(icext(BNODE_z!5, X) | ![Y: $i] : (~iext(uri_ex_hasAncestor, X, Y))))))) <=> (![X: $i] : (~((~((~icext(BNODE_z!5, X)) | iext(uri_ex_hasAncestor, X, tptp_fun_Y_0(X, uri_ex_hasAncestor)))) | (~(icext(BNODE_z!5, X) | ![Y: $i] : (~iext(uri_ex_hasAncestor, X, Y)))))) | (~iext(uri_owl_onProperty, BNODE_z!5, uri_ex_hasAncestor)) | (~iext(uri_owl_minCardinality, BNODE_z!5, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(28,plain,
% 0.12/0.38 (((~![Z: $i, P: $i] : ((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P)))) | (~(icext(Z, X) | ![Y: $i] : (~iext(P, X, Y)))))))) | ((~iext(uri_owl_minCardinality, BNODE_z!5, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, BNODE_z!5, uri_ex_hasAncestor)) | ![X: $i] : (~((~((~icext(BNODE_z!5, X)) | iext(uri_ex_hasAncestor, X, tptp_fun_Y_0(X, uri_ex_hasAncestor)))) | (~(icext(BNODE_z!5, X) | ![Y: $i] : (~iext(uri_ex_hasAncestor, X, Y)))))))) <=> ((~![Z: $i, P: $i] : ((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P)))) | (~(icext(Z, X) | ![Y: $i] : (~iext(P, X, Y)))))))) | (![X: $i] : (~((~((~icext(BNODE_z!5, X)) | iext(uri_ex_hasAncestor, X, tptp_fun_Y_0(X, uri_ex_hasAncestor)))) | (~(icext(BNODE_z!5, X) | ![Y: $i] : (~iext(uri_ex_hasAncestor, X, Y)))))) | (~iext(uri_owl_onProperty, BNODE_z!5, uri_ex_hasAncestor)) | (~iext(uri_owl_minCardinality, BNODE_z!5, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger)))))),
% 0.12/0.38 inference(monotonicity,[status(thm)],[27])).
% 0.12/0.38 tff(29,plain,
% 0.12/0.38 (((~![Z: $i, P: $i] : ((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P)))) | (~(icext(Z, X) | ![Y: $i] : (~iext(P, X, Y)))))))) | ((~iext(uri_owl_minCardinality, BNODE_z!5, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, BNODE_z!5, uri_ex_hasAncestor)) | ![X: $i] : (~((~((~icext(BNODE_z!5, X)) | iext(uri_ex_hasAncestor, X, tptp_fun_Y_0(X, uri_ex_hasAncestor)))) | (~(icext(BNODE_z!5, X) | ![Y: $i] : (~iext(uri_ex_hasAncestor, X, Y)))))))) <=> ((~![Z: $i, P: $i] : ((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P)))) | (~(icext(Z, X) | ![Y: $i] : (~iext(P, X, Y)))))))) | ![X: $i] : (~((~((~icext(BNODE_z!5, X)) | iext(uri_ex_hasAncestor, X, tptp_fun_Y_0(X, uri_ex_hasAncestor)))) | (~(icext(BNODE_z!5, X) | ![Y: $i] : (~iext(uri_ex_hasAncestor, X, Y)))))) | (~iext(uri_owl_onProperty, BNODE_z!5, uri_ex_hasAncestor)) | (~iext(uri_owl_minCardinality, BNODE_z!5, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))))),
% 0.12/0.39 inference(transitivity,[status(thm)],[28, 26])).
% 0.12/0.39 tff(30,plain,
% 0.12/0.39 ((~![Z: $i, P: $i] : ((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P)))) | (~(icext(Z, X) | ![Y: $i] : (~iext(P, X, Y)))))))) | ((~iext(uri_owl_minCardinality, BNODE_z!5, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, BNODE_z!5, uri_ex_hasAncestor)) | ![X: $i] : (~((~((~icext(BNODE_z!5, X)) | iext(uri_ex_hasAncestor, X, tptp_fun_Y_0(X, uri_ex_hasAncestor)))) | (~(icext(BNODE_z!5, X) | ![Y: $i] : (~iext(uri_ex_hasAncestor, X, Y)))))))),
% 0.12/0.39 inference(quant_inst,[status(thm)],[])).
% 0.12/0.39 tff(31,plain,
% 0.12/0.39 ((~![Z: $i, P: $i] : ((~iext(uri_owl_minCardinality, Z, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger))) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | iext(P, X, tptp_fun_Y_0(X, P)))) | (~(icext(Z, X) | ![Y: $i] : (~iext(P, X, Y)))))))) | ![X: $i] : (~((~((~icext(BNODE_z!5, X)) | iext(uri_ex_hasAncestor, X, tptp_fun_Y_0(X, uri_ex_hasAncestor)))) | (~(icext(BNODE_z!5, X) | ![Y: $i] : (~iext(uri_ex_hasAncestor, X, Y)))))) | (~iext(uri_owl_onProperty, BNODE_z!5, uri_ex_hasAncestor)) | (~iext(uri_owl_minCardinality, BNODE_z!5, literal_typed(dat_str_1, uri_xsd_nonNegativeInteger)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.12/0.39 tff(32,plain,
% 0.12/0.39 (![X: $i] : (~((~((~icext(BNODE_z!5, X)) | iext(uri_ex_hasAncestor, X, tptp_fun_Y_0(X, uri_ex_hasAncestor)))) | (~(icext(BNODE_z!5, X) | ![Y: $i] : (~iext(uri_ex_hasAncestor, X, Y))))))),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[31, 25, 9, 8])).
% 0.12/0.39 tff(33,plain,
% 0.12/0.39 ((~![X: $i] : (~((~((~icext(BNODE_z!5, X)) | iext(uri_ex_hasAncestor, X, tptp_fun_Y_0(X, uri_ex_hasAncestor)))) | (~(icext(BNODE_z!5, X) | ![Y: $i] : (~iext(uri_ex_hasAncestor, X, Y))))))) | (~((~((~icext(BNODE_z!5, uri_ex_bob)) | iext(uri_ex_hasAncestor, uri_ex_bob, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor)))) | (~(icext(BNODE_z!5, uri_ex_bob) | ![Y: $i] : (~iext(uri_ex_hasAncestor, uri_ex_bob, Y))))))),
% 0.12/0.39 inference(quant_inst,[status(thm)],[])).
% 0.12/0.39 tff(34,plain,
% 0.12/0.39 (~((~((~icext(BNODE_z!5, uri_ex_bob)) | iext(uri_ex_hasAncestor, uri_ex_bob, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor)))) | (~(icext(BNODE_z!5, uri_ex_bob) | ![Y: $i] : (~iext(uri_ex_hasAncestor, uri_ex_bob, Y)))))),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[33, 32])).
% 0.12/0.39 tff(35,plain,
% 0.12/0.39 (((~((~icext(BNODE_z!5, uri_ex_bob)) | iext(uri_ex_hasAncestor, uri_ex_bob, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor)))) | (~(icext(BNODE_z!5, uri_ex_bob) | ![Y: $i] : (~iext(uri_ex_hasAncestor, uri_ex_bob, Y))))) | ((~icext(BNODE_z!5, uri_ex_bob)) | iext(uri_ex_hasAncestor, uri_ex_bob, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor)))),
% 0.12/0.39 inference(tautology,[status(thm)],[])).
% 0.12/0.39 tff(36,plain,
% 0.12/0.39 ((~icext(BNODE_z!5, uri_ex_bob)) | iext(uri_ex_hasAncestor, uri_ex_bob, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor))),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[35, 34])).
% 0.12/0.39 tff(37,plain,
% 0.12/0.39 (^[X: $i, C: $i] : refl((iext(uri_rdf_type, X, C) <=> icext(C, X)) <=> (iext(uri_rdf_type, X, C) <=> icext(C, X)))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(38,plain,
% 0.12/0.39 (![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X)) <=> ![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[37])).
% 0.12/0.39 tff(39,plain,
% 0.12/0.39 (![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X)) <=> ![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(40,axiom,(![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','rdfs_cext_def')).
% 0.12/0.39 tff(41,plain,
% 0.12/0.39 (![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.12/0.39 tff(42,plain,(
% 0.12/0.39 ![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.12/0.39 inference(skolemize,[status(sab)],[41])).
% 0.12/0.39 tff(43,plain,
% 0.12/0.39 (![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[42, 38])).
% 0.12/0.39 tff(44,plain,
% 0.12/0.39 ((~![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))) | (iext(uri_rdf_type, uri_ex_bob, uri_ex_Person) <=> icext(uri_ex_Person, uri_ex_bob))),
% 0.12/0.39 inference(quant_inst,[status(thm)],[])).
% 0.12/0.39 tff(45,plain,
% 0.12/0.39 (iext(uri_rdf_type, uri_ex_bob, uri_ex_Person) <=> icext(uri_ex_Person, uri_ex_bob)),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[44, 43])).
% 0.12/0.39 tff(46,plain,
% 0.12/0.39 (iext(uri_rdf_type, uri_ex_bob, uri_ex_Person)),
% 0.12/0.39 inference(and_elim,[status(thm)],[7])).
% 0.12/0.39 tff(47,plain,
% 0.12/0.39 ((~(iext(uri_rdf_type, uri_ex_bob, uri_ex_Person) <=> icext(uri_ex_Person, uri_ex_bob))) | (~iext(uri_rdf_type, uri_ex_bob, uri_ex_Person)) | icext(uri_ex_Person, uri_ex_bob)),
% 0.12/0.39 inference(tautology,[status(thm)],[])).
% 0.12/0.39 tff(48,plain,
% 0.12/0.39 ((~(iext(uri_rdf_type, uri_ex_bob, uri_ex_Person) <=> icext(uri_ex_Person, uri_ex_bob))) | icext(uri_ex_Person, uri_ex_bob)),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[47, 46])).
% 0.12/0.39 tff(49,plain,
% 0.12/0.39 (icext(uri_ex_Person, uri_ex_bob)),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[48, 45])).
% 0.12/0.39 tff(50,plain,
% 0.12/0.39 (^[C1: $i, C2: $i] : rewrite((~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1)))))))) <=> (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(51,plain,
% 0.12/0.39 (![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1)))))))) <=> ![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[50])).
% 0.12/0.39 tff(52,plain,
% 0.12/0.39 (^[C1: $i, C2: $i] : refl((~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1)))))))) <=> (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1)))))))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(53,plain,
% 0.12/0.39 (![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1)))))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1))))))))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[52])).
% 0.12/0.39 tff(54,plain,
% 0.12/0.39 (^[C1: $i, C2: $i] : rewrite((~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1)))))))) <=> (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1)))))))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(55,plain,
% 0.12/0.39 (![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1)))))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1))))))))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[54])).
% 0.12/0.39 tff(56,plain,
% 0.12/0.39 (![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1)))))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1))))))))),
% 0.12/0.39 inference(transitivity,[status(thm)],[55, 53])).
% 0.12/0.39 tff(57,plain,
% 0.12/0.39 (^[C1: $i, C2: $i] : trans(monotonicity(rewrite(((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) <=> ((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))), rewrite((iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1))))) <=> (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1)))))), ((((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1)))))) <=> (((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1)))))))), rewrite((((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1)))))) <=> (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1))))))))), ((((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1)))))) <=> (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1))))))))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(58,plain,
% 0.12/0.39 (![C1: $i, C2: $i] : (((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1)))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1))))))))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[57])).
% 0.12/0.39 tff(59,plain,
% 0.12/0.39 (^[C1: $i, C2: $i] : rewrite((((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | ((~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1))))))) <=> (((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1)))))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(60,plain,
% 0.12/0.39 (![C1: $i, C2: $i] : (((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | ((~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1))))))) <=> ![C1: $i, C2: $i] : (((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1))))))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[59])).
% 0.12/0.39 tff(61,plain,
% 0.12/0.39 (![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) <=> ![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X))))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(62,plain,
% 0.12/0.39 (^[C1: $i, C2: $i] : rewrite((iext(uri_rdfs_subClassOf, C1, C2) <=> ((ic(C1) & ic(C2)) & ![X: $i] : (icext(C1, X) => icext(C2, X)))) <=> (iext(uri_rdfs_subClassOf, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(63,plain,
% 0.12/0.39 (![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> ((ic(C1) & ic(C2)) & ![X: $i] : (icext(C1, X) => icext(C2, X)))) <=> ![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X))))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[62])).
% 0.12/0.39 tff(64,axiom,(![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> ((ic(C1) & ic(C2)) & ![X: $i] : (icext(C1, X) => icext(C2, X))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_rdfsext_subclassof')).
% 0.12/0.39 tff(65,plain,
% 0.12/0.39 (![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X))))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.12/0.39 tff(66,plain,
% 0.12/0.39 (![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X))))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[65, 61])).
% 0.12/0.39 tff(67,plain,(
% 0.12/0.39 ![C1: $i, C2: $i] : (((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | ((~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1)))))))),
% 0.12/0.39 inference(skolemize,[status(sab)],[66])).
% 0.12/0.39 tff(68,plain,
% 0.12/0.39 (![C1: $i, C2: $i] : (((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1))))))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[67, 60])).
% 0.12/0.39 tff(69,plain,
% 0.12/0.39 (![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1))))))))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[68, 58])).
% 0.12/0.39 tff(70,plain,
% 0.12/0.39 (![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1))))))))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[69, 56])).
% 0.12/0.39 tff(71,plain,
% 0.12/0.39 (![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[70, 51])).
% 0.12/0.39 tff(72,plain,
% 0.12/0.39 (((~![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))) | (~((~(iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5) | (~ic(uri_ex_Person)) | (~ic(BNODE_z!5)) | (~((~icext(uri_ex_Person, tptp_fun_X_1(BNODE_z!5, uri_ex_Person))) | icext(BNODE_z!5, tptp_fun_X_1(BNODE_z!5, uri_ex_Person)))))) | (~((~iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5)) | (~((~![X: $i] : ((~icext(uri_ex_Person, X)) | icext(BNODE_z!5, X))) | (~ic(uri_ex_Person)) | (~ic(BNODE_z!5))))))))) <=> ((~![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))) | (~((~(iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5) | (~ic(uri_ex_Person)) | (~ic(BNODE_z!5)) | (~((~icext(uri_ex_Person, tptp_fun_X_1(BNODE_z!5, uri_ex_Person))) | icext(BNODE_z!5, tptp_fun_X_1(BNODE_z!5, uri_ex_Person)))))) | (~((~iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5)) | (~((~![X: $i] : ((~icext(uri_ex_Person, X)) | icext(BNODE_z!5, X))) | (~ic(uri_ex_Person)) | (~ic(BNODE_z!5)))))))))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(73,plain,
% 0.12/0.39 ((~((~(iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5) | (~ic(uri_ex_Person)) | (~ic(BNODE_z!5)) | (~((~icext(uri_ex_Person, tptp_fun_X_1(BNODE_z!5, uri_ex_Person))) | icext(BNODE_z!5, tptp_fun_X_1(BNODE_z!5, uri_ex_Person)))))) | (~((~iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5)) | (~((~ic(uri_ex_Person)) | (~ic(BNODE_z!5)) | (~![X: $i] : ((~icext(uri_ex_Person, X)) | icext(BNODE_z!5, X))))))))) <=> (~((~(iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5) | (~ic(uri_ex_Person)) | (~ic(BNODE_z!5)) | (~((~icext(uri_ex_Person, tptp_fun_X_1(BNODE_z!5, uri_ex_Person))) | icext(BNODE_z!5, tptp_fun_X_1(BNODE_z!5, uri_ex_Person)))))) | (~((~iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5)) | (~((~![X: $i] : ((~icext(uri_ex_Person, X)) | icext(BNODE_z!5, X))) | (~ic(uri_ex_Person)) | (~ic(BNODE_z!5))))))))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(74,plain,
% 0.12/0.39 (((~![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))) | (~((~(iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5) | (~ic(uri_ex_Person)) | (~ic(BNODE_z!5)) | (~((~icext(uri_ex_Person, tptp_fun_X_1(BNODE_z!5, uri_ex_Person))) | icext(BNODE_z!5, tptp_fun_X_1(BNODE_z!5, uri_ex_Person)))))) | (~((~iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5)) | (~((~ic(uri_ex_Person)) | (~ic(BNODE_z!5)) | (~![X: $i] : ((~icext(uri_ex_Person, X)) | icext(BNODE_z!5, X)))))))))) <=> ((~![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))) | (~((~(iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5) | (~ic(uri_ex_Person)) | (~ic(BNODE_z!5)) | (~((~icext(uri_ex_Person, tptp_fun_X_1(BNODE_z!5, uri_ex_Person))) | icext(BNODE_z!5, tptp_fun_X_1(BNODE_z!5, uri_ex_Person)))))) | (~((~iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5)) | (~((~![X: $i] : ((~icext(uri_ex_Person, X)) | icext(BNODE_z!5, X))) | (~ic(uri_ex_Person)) | (~ic(BNODE_z!5)))))))))),
% 0.12/0.40 inference(monotonicity,[status(thm)],[73])).
% 0.12/0.40 tff(75,plain,
% 0.12/0.40 (((~![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))) | (~((~(iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5) | (~ic(uri_ex_Person)) | (~ic(BNODE_z!5)) | (~((~icext(uri_ex_Person, tptp_fun_X_1(BNODE_z!5, uri_ex_Person))) | icext(BNODE_z!5, tptp_fun_X_1(BNODE_z!5, uri_ex_Person)))))) | (~((~iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5)) | (~((~ic(uri_ex_Person)) | (~ic(BNODE_z!5)) | (~![X: $i] : ((~icext(uri_ex_Person, X)) | icext(BNODE_z!5, X)))))))))) <=> ((~![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))) | (~((~(iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5) | (~ic(uri_ex_Person)) | (~ic(BNODE_z!5)) | (~((~icext(uri_ex_Person, tptp_fun_X_1(BNODE_z!5, uri_ex_Person))) | icext(BNODE_z!5, tptp_fun_X_1(BNODE_z!5, uri_ex_Person)))))) | (~((~iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5)) | (~((~![X: $i] : ((~icext(uri_ex_Person, X)) | icext(BNODE_z!5, X))) | (~ic(uri_ex_Person)) | (~ic(BNODE_z!5)))))))))),
% 0.12/0.40 inference(transitivity,[status(thm)],[74, 72])).
% 0.12/0.40 tff(76,plain,
% 0.12/0.40 ((~![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))) | (~((~(iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5) | (~ic(uri_ex_Person)) | (~ic(BNODE_z!5)) | (~((~icext(uri_ex_Person, tptp_fun_X_1(BNODE_z!5, uri_ex_Person))) | icext(BNODE_z!5, tptp_fun_X_1(BNODE_z!5, uri_ex_Person)))))) | (~((~iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5)) | (~((~ic(uri_ex_Person)) | (~ic(BNODE_z!5)) | (~![X: $i] : ((~icext(uri_ex_Person, X)) | icext(BNODE_z!5, X)))))))))),
% 0.12/0.40 inference(quant_inst,[status(thm)],[])).
% 0.12/0.40 tff(77,plain,
% 0.12/0.40 ((~![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | icext(C2, tptp_fun_X_1(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))) | (~((~(iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5) | (~ic(uri_ex_Person)) | (~ic(BNODE_z!5)) | (~((~icext(uri_ex_Person, tptp_fun_X_1(BNODE_z!5, uri_ex_Person))) | icext(BNODE_z!5, tptp_fun_X_1(BNODE_z!5, uri_ex_Person)))))) | (~((~iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5)) | (~((~![X: $i] : ((~icext(uri_ex_Person, X)) | icext(BNODE_z!5, X))) | (~ic(uri_ex_Person)) | (~ic(BNODE_z!5))))))))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[76, 75])).
% 0.12/0.40 tff(78,plain,
% 0.12/0.40 (~((~(iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5) | (~ic(uri_ex_Person)) | (~ic(BNODE_z!5)) | (~((~icext(uri_ex_Person, tptp_fun_X_1(BNODE_z!5, uri_ex_Person))) | icext(BNODE_z!5, tptp_fun_X_1(BNODE_z!5, uri_ex_Person)))))) | (~((~iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5)) | (~((~![X: $i] : ((~icext(uri_ex_Person, X)) | icext(BNODE_z!5, X))) | (~ic(uri_ex_Person)) | (~ic(BNODE_z!5)))))))),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[77, 71])).
% 0.12/0.40 tff(79,plain,
% 0.12/0.40 (((~(iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5) | (~ic(uri_ex_Person)) | (~ic(BNODE_z!5)) | (~((~icext(uri_ex_Person, tptp_fun_X_1(BNODE_z!5, uri_ex_Person))) | icext(BNODE_z!5, tptp_fun_X_1(BNODE_z!5, uri_ex_Person)))))) | (~((~iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5)) | (~((~![X: $i] : ((~icext(uri_ex_Person, X)) | icext(BNODE_z!5, X))) | (~ic(uri_ex_Person)) | (~ic(BNODE_z!5))))))) | ((~iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5)) | (~((~![X: $i] : ((~icext(uri_ex_Person, X)) | icext(BNODE_z!5, X))) | (~ic(uri_ex_Person)) | (~ic(BNODE_z!5)))))),
% 0.12/0.40 inference(tautology,[status(thm)],[])).
% 0.12/0.40 tff(80,plain,
% 0.12/0.40 ((~iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5)) | (~((~![X: $i] : ((~icext(uri_ex_Person, X)) | icext(BNODE_z!5, X))) | (~ic(uri_ex_Person)) | (~ic(BNODE_z!5))))),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[79, 78])).
% 0.12/0.40 tff(81,plain,
% 0.12/0.40 (iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5)),
% 0.12/0.40 inference(and_elim,[status(thm)],[7])).
% 0.12/0.40 tff(82,plain,
% 0.12/0.40 ((~((~iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5)) | (~((~![X: $i] : ((~icext(uri_ex_Person, X)) | icext(BNODE_z!5, X))) | (~ic(uri_ex_Person)) | (~ic(BNODE_z!5)))))) | (~iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5)) | (~((~![X: $i] : ((~icext(uri_ex_Person, X)) | icext(BNODE_z!5, X))) | (~ic(uri_ex_Person)) | (~ic(BNODE_z!5))))),
% 0.12/0.40 inference(tautology,[status(thm)],[])).
% 0.12/0.40 tff(83,plain,
% 0.12/0.40 ((~((~iext(uri_rdfs_subClassOf, uri_ex_Person, BNODE_z!5)) | (~((~![X: $i] : ((~icext(uri_ex_Person, X)) | icext(BNODE_z!5, X))) | (~ic(uri_ex_Person)) | (~ic(BNODE_z!5)))))) | (~((~![X: $i] : ((~icext(uri_ex_Person, X)) | icext(BNODE_z!5, X))) | (~ic(uri_ex_Person)) | (~ic(BNODE_z!5))))),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[82, 81])).
% 0.12/0.40 tff(84,plain,
% 0.12/0.40 (~((~![X: $i] : ((~icext(uri_ex_Person, X)) | icext(BNODE_z!5, X))) | (~ic(uri_ex_Person)) | (~ic(BNODE_z!5)))),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[83, 80])).
% 0.12/0.40 tff(85,plain,
% 0.12/0.40 (((~![X: $i] : ((~icext(uri_ex_Person, X)) | icext(BNODE_z!5, X))) | (~ic(uri_ex_Person)) | (~ic(BNODE_z!5))) | ![X: $i] : ((~icext(uri_ex_Person, X)) | icext(BNODE_z!5, X))),
% 0.12/0.40 inference(tautology,[status(thm)],[])).
% 0.12/0.40 tff(86,plain,
% 0.12/0.40 (![X: $i] : ((~icext(uri_ex_Person, X)) | icext(BNODE_z!5, X))),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[85, 84])).
% 0.12/0.40 tff(87,plain,
% 0.12/0.40 (((~![X: $i] : ((~icext(uri_ex_Person, X)) | icext(BNODE_z!5, X))) | ((~icext(uri_ex_Person, uri_ex_bob)) | icext(BNODE_z!5, uri_ex_bob))) <=> ((~![X: $i] : ((~icext(uri_ex_Person, X)) | icext(BNODE_z!5, X))) | (~icext(uri_ex_Person, uri_ex_bob)) | icext(BNODE_z!5, uri_ex_bob))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(88,plain,
% 0.12/0.40 ((~![X: $i] : ((~icext(uri_ex_Person, X)) | icext(BNODE_z!5, X))) | ((~icext(uri_ex_Person, uri_ex_bob)) | icext(BNODE_z!5, uri_ex_bob))),
% 0.12/0.40 inference(quant_inst,[status(thm)],[])).
% 0.12/0.40 tff(89,plain,
% 0.12/0.40 ((~![X: $i] : ((~icext(uri_ex_Person, X)) | icext(BNODE_z!5, X))) | (~icext(uri_ex_Person, uri_ex_bob)) | icext(BNODE_z!5, uri_ex_bob)),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[88, 87])).
% 0.12/0.40 tff(90,plain,
% 0.12/0.40 (icext(BNODE_z!5, uri_ex_bob)),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[89, 86, 49])).
% 0.12/0.40 tff(91,plain,
% 0.12/0.40 ((~((~icext(BNODE_z!5, uri_ex_bob)) | iext(uri_ex_hasAncestor, uri_ex_bob, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor)))) | (~icext(BNODE_z!5, uri_ex_bob)) | iext(uri_ex_hasAncestor, uri_ex_bob, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor))),
% 0.12/0.40 inference(tautology,[status(thm)],[])).
% 0.12/0.40 tff(92,plain,
% 0.12/0.40 ((~((~icext(BNODE_z!5, uri_ex_bob)) | iext(uri_ex_hasAncestor, uri_ex_bob, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor)))) | iext(uri_ex_hasAncestor, uri_ex_bob, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor))),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[91, 90])).
% 0.12/0.40 tff(93,plain,
% 0.12/0.40 (iext(uri_ex_hasAncestor, uri_ex_bob, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor))),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[92, 36])).
% 0.12/0.40 tff(94,plain,
% 0.12/0.40 (^[BNODE_x: $i] : refl(((~iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x)) | (~iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x))) <=> ((~iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x)) | (~iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(95,plain,
% 0.12/0.40 (![BNODE_x: $i] : ((~iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x)) | (~iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x))) <=> ![BNODE_x: $i] : ((~iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x)) | (~iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x)))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[94])).
% 0.12/0.40 tff(96,plain,
% 0.12/0.40 (^[BNODE_x: $i] : trans(monotonicity(rewrite((iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x) & iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x)) <=> (~((~iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x)) | (~iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x))))), ((~(iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x) & iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x))) <=> (~(~((~iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x)) | (~iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x))))))), rewrite((~(~((~iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x)) | (~iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x))))) <=> ((~iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x)) | (~iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x)))), ((~(iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x) & iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x))) <=> ((~iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x)) | (~iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x)))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(97,plain,
% 0.12/0.40 (![BNODE_x: $i] : (~(iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x) & iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x))) <=> ![BNODE_x: $i] : ((~iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x)) | (~iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x)))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[96])).
% 0.12/0.40 tff(98,plain,
% 0.12/0.40 ((~?[BNODE_x: $i] : (iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x) & iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x))) <=> (~?[BNODE_x: $i] : (iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x) & iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x)))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(99,axiom,(~?[BNODE_x: $i] : (iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x) & iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties')).
% 0.12/0.40 tff(100,plain,
% 0.12/0.40 (~?[BNODE_x: $i] : (iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x) & iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[99, 98])).
% 0.12/0.40 tff(101,plain,
% 0.12/0.40 (~?[BNODE_x: $i] : (iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x) & iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[100, 98])).
% 0.12/0.40 tff(102,plain,
% 0.12/0.40 (~?[BNODE_x: $i] : (iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x) & iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[101, 98])).
% 0.12/0.40 tff(103,plain,
% 0.12/0.40 (~?[BNODE_x: $i] : (iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x) & iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[102, 98])).
% 0.12/0.40 tff(104,plain,
% 0.12/0.40 (^[BNODE_x: $i] : refl($oeq((~(iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x) & iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x))), (~(iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x) & iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x)))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(105,plain,(
% 0.12/0.40 ![BNODE_x: $i] : (~(iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x) & iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x)))),
% 0.12/0.40 inference(nnf-neg,[status(sab)],[103, 104])).
% 0.12/0.40 tff(106,plain,
% 0.12/0.40 (![BNODE_x: $i] : ((~iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x)) | (~iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x)))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[105, 97])).
% 0.12/0.40 tff(107,plain,
% 0.12/0.40 (![BNODE_x: $i] : ((~iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x)) | (~iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x)))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[106, 95])).
% 0.12/0.40 tff(108,plain,
% 0.12/0.40 (((~![BNODE_x: $i] : ((~iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x)) | (~iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x)))) | ((~iext(uri_ex_hasAncestor, uri_ex_bob, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor))) | (~iext(uri_ex_hasAncestor, uri_ex_alice, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor))))) <=> ((~![BNODE_x: $i] : ((~iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x)) | (~iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x)))) | (~iext(uri_ex_hasAncestor, uri_ex_bob, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor))) | (~iext(uri_ex_hasAncestor, uri_ex_alice, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor))))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(109,plain,
% 0.12/0.40 ((~![BNODE_x: $i] : ((~iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x)) | (~iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x)))) | ((~iext(uri_ex_hasAncestor, uri_ex_bob, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor))) | (~iext(uri_ex_hasAncestor, uri_ex_alice, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor))))),
% 0.12/0.40 inference(quant_inst,[status(thm)],[])).
% 0.12/0.40 tff(110,plain,
% 0.12/0.40 ((~![BNODE_x: $i] : ((~iext(uri_ex_hasAncestor, uri_ex_bob, BNODE_x)) | (~iext(uri_ex_hasAncestor, uri_ex_alice, BNODE_x)))) | (~iext(uri_ex_hasAncestor, uri_ex_bob, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor))) | (~iext(uri_ex_hasAncestor, uri_ex_alice, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor)))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[109, 108])).
% 0.12/0.40 tff(111,plain,
% 0.12/0.40 (~iext(uri_ex_hasAncestor, uri_ex_alice, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor))),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[110, 107, 93])).
% 0.12/0.40 tff(112,plain,
% 0.12/0.40 (^[P: $i] : rewrite((~((~((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z)))))))) | (~(icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P))))))))) <=> (~((~(icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P))))))) | (~((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z)))))))))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(113,plain,
% 0.12/0.40 (![P: $i] : (~((~((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z)))))))) | (~(icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P))))))))) <=> ![P: $i] : (~((~(icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P))))))) | (~((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z))))))))))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[112])).
% 0.12/0.40 tff(114,plain,
% 0.12/0.40 (^[P: $i] : refl((~((~((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z)))))))) | (~(icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P))))))))) <=> (~((~((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z)))))))) | (~(icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P))))))))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(115,plain,
% 0.12/0.40 (![P: $i] : (~((~((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z)))))))) | (~(icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P))))))))) <=> ![P: $i] : (~((~((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z)))))))) | (~(icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P)))))))))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[114])).
% 0.12/0.41 tff(116,plain,
% 0.12/0.41 (^[P: $i] : rewrite((~((~((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z)))))))) | (~(icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P))))))))) <=> (~((~((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z)))))))) | (~(icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P))))))))))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(117,plain,
% 0.12/0.41 (![P: $i] : (~((~((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z)))))))) | (~(icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P))))))))) <=> ![P: $i] : (~((~((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z)))))))) | (~(icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P)))))))))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[116])).
% 0.12/0.41 tff(118,plain,
% 0.12/0.41 (![P: $i] : (~((~((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z)))))))) | (~(icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P))))))))) <=> ![P: $i] : (~((~((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z)))))))) | (~(icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P)))))))))),
% 0.12/0.41 inference(transitivity,[status(thm)],[117, 115])).
% 0.12/0.41 tff(119,plain,
% 0.12/0.41 (^[P: $i] : trans(monotonicity(rewrite(((~icext(uri_owl_TransitiveProperty, P)) | (ip(P) & ![X: $i, Y: $i, Z: $i] : ((~(iext(P, X, Y) & iext(P, Y, Z))) | iext(P, X, Z)))) <=> ((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z)))))))), trans(monotonicity(rewrite((~((~(iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P)) & iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P)))) | iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)))) <=> (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P)))))), ((icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~((~(iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P)) & iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P)))) | iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P))))) <=> (icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P)))))))), rewrite((icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P)))))) <=> (icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P))))))), ((icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~((~(iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P)) & iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P)))) | iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P))))) <=> (icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P)))))))), ((((~icext(uri_owl_TransitiveProperty, P)) | (ip(P) & ![X: $i, Y: $i, Z: $i] : ((~(iext(P, X, Y) & iext(P, Y, Z))) | iext(P, X, Z)))) & (icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~((~(iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P)) & iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P)))) | iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)))))) <=> (((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z))))))) & (icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P))))))))), rewrite((((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z))))))) & (icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P))))))) <=> (~((~((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z)))))))) | (~(icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P)))))))))), ((((~icext(uri_owl_TransitiveProperty, P)) | (ip(P) & ![X: $i, Y: $i, Z: $i] : ((~(iext(P, X, Y) & iext(P, Y, Z))) | iext(P, X, Z)))) & (icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~((~(iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P)) & iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P)))) | iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)))))) <=> (~((~((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z)))))))) | (~(icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P)))))))))))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(120,plain,
% 0.12/0.41 (![P: $i] : (((~icext(uri_owl_TransitiveProperty, P)) | (ip(P) & ![X: $i, Y: $i, Z: $i] : ((~(iext(P, X, Y) & iext(P, Y, Z))) | iext(P, X, Z)))) & (icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~((~(iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P)) & iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P)))) | iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)))))) <=> ![P: $i] : (~((~((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z)))))))) | (~(icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P)))))))))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[119])).
% 0.12/0.41 tff(121,plain,
% 0.12/0.41 (^[P: $i] : rewrite((((~icext(uri_owl_TransitiveProperty, P)) | (ip(P) & ![X: $i, Y: $i, Z: $i] : ((~(iext(P, X, Y) & iext(P, Y, Z))) | iext(P, X, Z)))) & (icext(uri_owl_TransitiveProperty, P) | ((~ip(P)) | (~((~(iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P)) & iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P)))) | iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P))))))) <=> (((~icext(uri_owl_TransitiveProperty, P)) | (ip(P) & ![X: $i, Y: $i, Z: $i] : ((~(iext(P, X, Y) & iext(P, Y, Z))) | iext(P, X, Z)))) & (icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~((~(iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P)) & iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P)))) | iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)))))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(122,plain,
% 0.19/0.41 (![P: $i] : (((~icext(uri_owl_TransitiveProperty, P)) | (ip(P) & ![X: $i, Y: $i, Z: $i] : ((~(iext(P, X, Y) & iext(P, Y, Z))) | iext(P, X, Z)))) & (icext(uri_owl_TransitiveProperty, P) | ((~ip(P)) | (~((~(iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P)) & iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P)))) | iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P))))))) <=> ![P: $i] : (((~icext(uri_owl_TransitiveProperty, P)) | (ip(P) & ![X: $i, Y: $i, Z: $i] : ((~(iext(P, X, Y) & iext(P, Y, Z))) | iext(P, X, Z)))) & (icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~((~(iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P)) & iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P)))) | iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P))))))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[121])).
% 0.19/0.41 tff(123,plain,
% 0.19/0.41 (![P: $i] : (icext(uri_owl_TransitiveProperty, P) <=> (ip(P) & ![X: $i, Y: $i, Z: $i] : ((~(iext(P, X, Y) & iext(P, Y, Z))) | iext(P, X, Z)))) <=> ![P: $i] : (icext(uri_owl_TransitiveProperty, P) <=> (ip(P) & ![X: $i, Y: $i, Z: $i] : ((~(iext(P, X, Y) & iext(P, Y, Z))) | iext(P, X, Z))))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(124,plain,
% 0.19/0.41 (^[P: $i] : rewrite((icext(uri_owl_TransitiveProperty, P) <=> (ip(P) & ![X: $i, Y: $i, Z: $i] : ((iext(P, X, Y) & iext(P, Y, Z)) => iext(P, X, Z)))) <=> (icext(uri_owl_TransitiveProperty, P) <=> (ip(P) & ![X: $i, Y: $i, Z: $i] : ((~(iext(P, X, Y) & iext(P, Y, Z))) | iext(P, X, Z)))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(125,plain,
% 0.19/0.41 (![P: $i] : (icext(uri_owl_TransitiveProperty, P) <=> (ip(P) & ![X: $i, Y: $i, Z: $i] : ((iext(P, X, Y) & iext(P, Y, Z)) => iext(P, X, Z)))) <=> ![P: $i] : (icext(uri_owl_TransitiveProperty, P) <=> (ip(P) & ![X: $i, Y: $i, Z: $i] : ((~(iext(P, X, Y) & iext(P, Y, Z))) | iext(P, X, Z))))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[124])).
% 0.19/0.41 tff(126,axiom,(![P: $i] : (icext(uri_owl_TransitiveProperty, P) <=> (ip(P) & ![X: $i, Y: $i, Z: $i] : ((iext(P, X, Y) & iext(P, Y, Z)) => iext(P, X, Z))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_char_transitive')).
% 0.19/0.41 tff(127,plain,
% 0.19/0.41 (![P: $i] : (icext(uri_owl_TransitiveProperty, P) <=> (ip(P) & ![X: $i, Y: $i, Z: $i] : ((~(iext(P, X, Y) & iext(P, Y, Z))) | iext(P, X, Z))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[126, 125])).
% 0.19/0.41 tff(128,plain,
% 0.19/0.41 (![P: $i] : (icext(uri_owl_TransitiveProperty, P) <=> (ip(P) & ![X: $i, Y: $i, Z: $i] : ((~(iext(P, X, Y) & iext(P, Y, Z))) | iext(P, X, Z))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[127, 123])).
% 0.19/0.41 tff(129,plain,(
% 0.19/0.41 ![P: $i] : (((~icext(uri_owl_TransitiveProperty, P)) | (ip(P) & ![X: $i, Y: $i, Z: $i] : ((~(iext(P, X, Y) & iext(P, Y, Z))) | iext(P, X, Z)))) & (icext(uri_owl_TransitiveProperty, P) | ((~ip(P)) | (~((~(iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P)) & iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P)))) | iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)))))))),
% 0.19/0.41 inference(skolemize,[status(sab)],[128])).
% 0.19/0.41 tff(130,plain,
% 0.19/0.41 (![P: $i] : (((~icext(uri_owl_TransitiveProperty, P)) | (ip(P) & ![X: $i, Y: $i, Z: $i] : ((~(iext(P, X, Y) & iext(P, Y, Z))) | iext(P, X, Z)))) & (icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~((~(iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P)) & iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P)))) | iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P))))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[129, 122])).
% 0.19/0.41 tff(131,plain,
% 0.19/0.41 (![P: $i] : (~((~((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z)))))))) | (~(icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P)))))))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[130, 120])).
% 0.19/0.41 tff(132,plain,
% 0.19/0.41 (![P: $i] : (~((~((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z)))))))) | (~(icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P)))))))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[131, 118])).
% 0.19/0.41 tff(133,plain,
% 0.19/0.41 (![P: $i] : (~((~(icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P))))))) | (~((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z))))))))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[132, 113])).
% 0.19/0.41 tff(134,plain,
% 0.19/0.41 (((~![P: $i] : (~((~(icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P))))))) | (~((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z))))))))))) | (~((~(icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor) | (~ip(uri_ex_hasAncestor)) | (~((~iext(uri_ex_hasAncestor, tptp_fun_Y_3(uri_ex_hasAncestor), tptp_fun_Z_2(uri_ex_hasAncestor))) | (~iext(uri_ex_hasAncestor, tptp_fun_X_4(uri_ex_hasAncestor), tptp_fun_Y_3(uri_ex_hasAncestor))) | iext(uri_ex_hasAncestor, tptp_fun_X_4(uri_ex_hasAncestor), tptp_fun_Z_2(uri_ex_hasAncestor)))))) | (~((~icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor)) | (~((~ip(uri_ex_hasAncestor)) | (~![X: $i, Y: $i, Z: $i] : ((~iext(uri_ex_hasAncestor, Y, Z)) | iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y))))))))))) <=> ((~![P: $i] : (~((~(icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P))))))) | (~((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z))))))))))) | (~((~(icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor) | (~ip(uri_ex_hasAncestor)) | (~((~iext(uri_ex_hasAncestor, tptp_fun_Y_3(uri_ex_hasAncestor), tptp_fun_Z_2(uri_ex_hasAncestor))) | (~iext(uri_ex_hasAncestor, tptp_fun_X_4(uri_ex_hasAncestor), tptp_fun_Y_3(uri_ex_hasAncestor))) | iext(uri_ex_hasAncestor, tptp_fun_X_4(uri_ex_hasAncestor), tptp_fun_Z_2(uri_ex_hasAncestor)))))) | (~((~icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor)) | (~((~ip(uri_ex_hasAncestor)) | (~![X: $i, Y: $i, Z: $i] : ((~iext(uri_ex_hasAncestor, Y, Z)) | iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y)))))))))))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(135,plain,
% 0.19/0.41 ((~((~(icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor) | (~ip(uri_ex_hasAncestor)) | (~(iext(uri_ex_hasAncestor, tptp_fun_X_4(uri_ex_hasAncestor), tptp_fun_Z_2(uri_ex_hasAncestor)) | (~iext(uri_ex_hasAncestor, tptp_fun_X_4(uri_ex_hasAncestor), tptp_fun_Y_3(uri_ex_hasAncestor))) | (~iext(uri_ex_hasAncestor, tptp_fun_Y_3(uri_ex_hasAncestor), tptp_fun_Z_2(uri_ex_hasAncestor))))))) | (~((~icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor)) | (~((~ip(uri_ex_hasAncestor)) | (~![X: $i, Y: $i, Z: $i] : (iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y)) | (~iext(uri_ex_hasAncestor, Y, Z)))))))))) <=> (~((~(icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor) | (~ip(uri_ex_hasAncestor)) | (~((~iext(uri_ex_hasAncestor, tptp_fun_Y_3(uri_ex_hasAncestor), tptp_fun_Z_2(uri_ex_hasAncestor))) | (~iext(uri_ex_hasAncestor, tptp_fun_X_4(uri_ex_hasAncestor), tptp_fun_Y_3(uri_ex_hasAncestor))) | iext(uri_ex_hasAncestor, tptp_fun_X_4(uri_ex_hasAncestor), tptp_fun_Z_2(uri_ex_hasAncestor)))))) | (~((~icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor)) | (~((~ip(uri_ex_hasAncestor)) | (~![X: $i, Y: $i, Z: $i] : ((~iext(uri_ex_hasAncestor, Y, Z)) | iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y))))))))))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(136,plain,
% 0.19/0.41 (((~![P: $i] : (~((~(icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P))))))) | (~((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z))))))))))) | (~((~(icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor) | (~ip(uri_ex_hasAncestor)) | (~(iext(uri_ex_hasAncestor, tptp_fun_X_4(uri_ex_hasAncestor), tptp_fun_Z_2(uri_ex_hasAncestor)) | (~iext(uri_ex_hasAncestor, tptp_fun_X_4(uri_ex_hasAncestor), tptp_fun_Y_3(uri_ex_hasAncestor))) | (~iext(uri_ex_hasAncestor, tptp_fun_Y_3(uri_ex_hasAncestor), tptp_fun_Z_2(uri_ex_hasAncestor))))))) | (~((~icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor)) | (~((~ip(uri_ex_hasAncestor)) | (~![X: $i, Y: $i, Z: $i] : (iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y)) | (~iext(uri_ex_hasAncestor, Y, Z))))))))))) <=> ((~![P: $i] : (~((~(icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P))))))) | (~((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z))))))))))) | (~((~(icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor) | (~ip(uri_ex_hasAncestor)) | (~((~iext(uri_ex_hasAncestor, tptp_fun_Y_3(uri_ex_hasAncestor), tptp_fun_Z_2(uri_ex_hasAncestor))) | (~iext(uri_ex_hasAncestor, tptp_fun_X_4(uri_ex_hasAncestor), tptp_fun_Y_3(uri_ex_hasAncestor))) | iext(uri_ex_hasAncestor, tptp_fun_X_4(uri_ex_hasAncestor), tptp_fun_Z_2(uri_ex_hasAncestor)))))) | (~((~icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor)) | (~((~ip(uri_ex_hasAncestor)) | (~![X: $i, Y: $i, Z: $i] : ((~iext(uri_ex_hasAncestor, Y, Z)) | iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y)))))))))))),
% 0.19/0.41 inference(monotonicity,[status(thm)],[135])).
% 0.19/0.41 tff(137,plain,
% 0.19/0.41 (((~![P: $i] : (~((~(icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P))))))) | (~((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z))))))))))) | (~((~(icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor) | (~ip(uri_ex_hasAncestor)) | (~(iext(uri_ex_hasAncestor, tptp_fun_X_4(uri_ex_hasAncestor), tptp_fun_Z_2(uri_ex_hasAncestor)) | (~iext(uri_ex_hasAncestor, tptp_fun_X_4(uri_ex_hasAncestor), tptp_fun_Y_3(uri_ex_hasAncestor))) | (~iext(uri_ex_hasAncestor, tptp_fun_Y_3(uri_ex_hasAncestor), tptp_fun_Z_2(uri_ex_hasAncestor))))))) | (~((~icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor)) | (~((~ip(uri_ex_hasAncestor)) | (~![X: $i, Y: $i, Z: $i] : (iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y)) | (~iext(uri_ex_hasAncestor, Y, Z))))))))))) <=> ((~![P: $i] : (~((~(icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P))))))) | (~((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z))))))))))) | (~((~(icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor) | (~ip(uri_ex_hasAncestor)) | (~((~iext(uri_ex_hasAncestor, tptp_fun_Y_3(uri_ex_hasAncestor), tptp_fun_Z_2(uri_ex_hasAncestor))) | (~iext(uri_ex_hasAncestor, tptp_fun_X_4(uri_ex_hasAncestor), tptp_fun_Y_3(uri_ex_hasAncestor))) | iext(uri_ex_hasAncestor, tptp_fun_X_4(uri_ex_hasAncestor), tptp_fun_Z_2(uri_ex_hasAncestor)))))) | (~((~icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor)) | (~((~ip(uri_ex_hasAncestor)) | (~![X: $i, Y: $i, Z: $i] : ((~iext(uri_ex_hasAncestor, Y, Z)) | iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y)))))))))))),
% 0.19/0.41 inference(transitivity,[status(thm)],[136, 134])).
% 0.19/0.41 tff(138,plain,
% 0.19/0.41 ((~![P: $i] : (~((~(icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P))))))) | (~((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z))))))))))) | (~((~(icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor) | (~ip(uri_ex_hasAncestor)) | (~(iext(uri_ex_hasAncestor, tptp_fun_X_4(uri_ex_hasAncestor), tptp_fun_Z_2(uri_ex_hasAncestor)) | (~iext(uri_ex_hasAncestor, tptp_fun_X_4(uri_ex_hasAncestor), tptp_fun_Y_3(uri_ex_hasAncestor))) | (~iext(uri_ex_hasAncestor, tptp_fun_Y_3(uri_ex_hasAncestor), tptp_fun_Z_2(uri_ex_hasAncestor))))))) | (~((~icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor)) | (~((~ip(uri_ex_hasAncestor)) | (~![X: $i, Y: $i, Z: $i] : (iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y)) | (~iext(uri_ex_hasAncestor, Y, Z))))))))))),
% 0.19/0.42 inference(quant_inst,[status(thm)],[])).
% 0.19/0.42 tff(139,plain,
% 0.19/0.42 ((~![P: $i] : (~((~(icext(uri_owl_TransitiveProperty, P) | (~ip(P)) | (~(iext(P, tptp_fun_X_4(P), tptp_fun_Z_2(P)) | (~iext(P, tptp_fun_X_4(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_Y_3(P), tptp_fun_Z_2(P))))))) | (~((~icext(uri_owl_TransitiveProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i, Z: $i] : (iext(P, X, Z) | (~iext(P, X, Y)) | (~iext(P, Y, Z))))))))))) | (~((~(icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor) | (~ip(uri_ex_hasAncestor)) | (~((~iext(uri_ex_hasAncestor, tptp_fun_Y_3(uri_ex_hasAncestor), tptp_fun_Z_2(uri_ex_hasAncestor))) | (~iext(uri_ex_hasAncestor, tptp_fun_X_4(uri_ex_hasAncestor), tptp_fun_Y_3(uri_ex_hasAncestor))) | iext(uri_ex_hasAncestor, tptp_fun_X_4(uri_ex_hasAncestor), tptp_fun_Z_2(uri_ex_hasAncestor)))))) | (~((~icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor)) | (~((~ip(uri_ex_hasAncestor)) | (~![X: $i, Y: $i, Z: $i] : ((~iext(uri_ex_hasAncestor, Y, Z)) | iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y))))))))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[138, 137])).
% 0.19/0.42 tff(140,plain,
% 0.19/0.42 (~((~(icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor) | (~ip(uri_ex_hasAncestor)) | (~((~iext(uri_ex_hasAncestor, tptp_fun_Y_3(uri_ex_hasAncestor), tptp_fun_Z_2(uri_ex_hasAncestor))) | (~iext(uri_ex_hasAncestor, tptp_fun_X_4(uri_ex_hasAncestor), tptp_fun_Y_3(uri_ex_hasAncestor))) | iext(uri_ex_hasAncestor, tptp_fun_X_4(uri_ex_hasAncestor), tptp_fun_Z_2(uri_ex_hasAncestor)))))) | (~((~icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor)) | (~((~ip(uri_ex_hasAncestor)) | (~![X: $i, Y: $i, Z: $i] : ((~iext(uri_ex_hasAncestor, Y, Z)) | iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y)))))))))),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[139, 133])).
% 0.19/0.42 tff(141,plain,
% 0.19/0.42 (((~(icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor) | (~ip(uri_ex_hasAncestor)) | (~((~iext(uri_ex_hasAncestor, tptp_fun_Y_3(uri_ex_hasAncestor), tptp_fun_Z_2(uri_ex_hasAncestor))) | (~iext(uri_ex_hasAncestor, tptp_fun_X_4(uri_ex_hasAncestor), tptp_fun_Y_3(uri_ex_hasAncestor))) | iext(uri_ex_hasAncestor, tptp_fun_X_4(uri_ex_hasAncestor), tptp_fun_Z_2(uri_ex_hasAncestor)))))) | (~((~icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor)) | (~((~ip(uri_ex_hasAncestor)) | (~![X: $i, Y: $i, Z: $i] : ((~iext(uri_ex_hasAncestor, Y, Z)) | iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y))))))))) | ((~icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor)) | (~((~ip(uri_ex_hasAncestor)) | (~![X: $i, Y: $i, Z: $i] : ((~iext(uri_ex_hasAncestor, Y, Z)) | iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y)))))))),
% 0.19/0.42 inference(tautology,[status(thm)],[])).
% 0.19/0.42 tff(142,plain,
% 0.19/0.42 ((~icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor)) | (~((~ip(uri_ex_hasAncestor)) | (~![X: $i, Y: $i, Z: $i] : ((~iext(uri_ex_hasAncestor, Y, Z)) | iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y))))))),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[141, 140])).
% 0.19/0.42 tff(143,plain,
% 0.19/0.42 ((~![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))) | (iext(uri_rdf_type, uri_ex_hasAncestor, uri_owl_TransitiveProperty) <=> icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor))),
% 0.19/0.42 inference(quant_inst,[status(thm)],[])).
% 0.19/0.42 tff(144,plain,
% 0.19/0.42 (iext(uri_rdf_type, uri_ex_hasAncestor, uri_owl_TransitiveProperty) <=> icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor)),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[143, 43])).
% 0.19/0.42 tff(145,plain,
% 0.19/0.42 (iext(uri_rdf_type, uri_ex_hasAncestor, uri_owl_TransitiveProperty)),
% 0.19/0.42 inference(and_elim,[status(thm)],[7])).
% 0.19/0.42 tff(146,plain,
% 0.19/0.42 ((~(iext(uri_rdf_type, uri_ex_hasAncestor, uri_owl_TransitiveProperty) <=> icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor))) | (~iext(uri_rdf_type, uri_ex_hasAncestor, uri_owl_TransitiveProperty)) | icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor)),
% 0.19/0.42 inference(tautology,[status(thm)],[])).
% 0.19/0.42 tff(147,plain,
% 0.19/0.42 ((~(iext(uri_rdf_type, uri_ex_hasAncestor, uri_owl_TransitiveProperty) <=> icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor))) | icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor)),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[146, 145])).
% 0.19/0.42 tff(148,plain,
% 0.19/0.42 (icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor)),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[147, 144])).
% 0.19/0.42 tff(149,plain,
% 0.19/0.42 ((~((~icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor)) | (~((~ip(uri_ex_hasAncestor)) | (~![X: $i, Y: $i, Z: $i] : ((~iext(uri_ex_hasAncestor, Y, Z)) | iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y)))))))) | (~icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor)) | (~((~ip(uri_ex_hasAncestor)) | (~![X: $i, Y: $i, Z: $i] : ((~iext(uri_ex_hasAncestor, Y, Z)) | iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y))))))),
% 0.19/0.42 inference(tautology,[status(thm)],[])).
% 0.19/0.42 tff(150,plain,
% 0.19/0.42 ((~((~icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor)) | (~((~ip(uri_ex_hasAncestor)) | (~![X: $i, Y: $i, Z: $i] : ((~iext(uri_ex_hasAncestor, Y, Z)) | iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y)))))))) | (~((~ip(uri_ex_hasAncestor)) | (~![X: $i, Y: $i, Z: $i] : ((~iext(uri_ex_hasAncestor, Y, Z)) | iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y))))))),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[149, 148])).
% 0.19/0.42 tff(151,plain,
% 0.19/0.42 (~((~ip(uri_ex_hasAncestor)) | (~![X: $i, Y: $i, Z: $i] : ((~iext(uri_ex_hasAncestor, Y, Z)) | iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y)))))),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[150, 142])).
% 0.19/0.42 tff(152,plain,
% 0.19/0.42 (((~ip(uri_ex_hasAncestor)) | (~![X: $i, Y: $i, Z: $i] : ((~iext(uri_ex_hasAncestor, Y, Z)) | iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y))))) | ![X: $i, Y: $i, Z: $i] : ((~iext(uri_ex_hasAncestor, Y, Z)) | iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y)))),
% 0.19/0.42 inference(tautology,[status(thm)],[])).
% 0.19/0.42 tff(153,plain,
% 0.19/0.42 (![X: $i, Y: $i, Z: $i] : ((~iext(uri_ex_hasAncestor, Y, Z)) | iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y)))),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[152, 151])).
% 0.19/0.42 tff(154,plain,
% 0.19/0.42 (iext(uri_ex_hasAncestor, uri_ex_alice, uri_ex_bob)),
% 0.19/0.42 inference(and_elim,[status(thm)],[7])).
% 0.19/0.42 tff(155,plain,
% 0.19/0.42 (((~![X: $i, Y: $i, Z: $i] : ((~iext(uri_ex_hasAncestor, Y, Z)) | iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y)))) | ((~iext(uri_ex_hasAncestor, uri_ex_alice, uri_ex_bob)) | (~iext(uri_ex_hasAncestor, uri_ex_bob, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor))) | iext(uri_ex_hasAncestor, uri_ex_alice, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor)))) <=> ((~![X: $i, Y: $i, Z: $i] : ((~iext(uri_ex_hasAncestor, Y, Z)) | iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y)))) | (~iext(uri_ex_hasAncestor, uri_ex_alice, uri_ex_bob)) | (~iext(uri_ex_hasAncestor, uri_ex_bob, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor))) | iext(uri_ex_hasAncestor, uri_ex_alice, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor)))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(156,plain,
% 0.19/0.42 (((~iext(uri_ex_hasAncestor, uri_ex_bob, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor))) | iext(uri_ex_hasAncestor, uri_ex_alice, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor)) | (~iext(uri_ex_hasAncestor, uri_ex_alice, uri_ex_bob))) <=> ((~iext(uri_ex_hasAncestor, uri_ex_alice, uri_ex_bob)) | (~iext(uri_ex_hasAncestor, uri_ex_bob, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor))) | iext(uri_ex_hasAncestor, uri_ex_alice, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor)))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(157,plain,
% 0.19/0.42 (((~![X: $i, Y: $i, Z: $i] : ((~iext(uri_ex_hasAncestor, Y, Z)) | iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y)))) | ((~iext(uri_ex_hasAncestor, uri_ex_bob, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor))) | iext(uri_ex_hasAncestor, uri_ex_alice, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor)) | (~iext(uri_ex_hasAncestor, uri_ex_alice, uri_ex_bob)))) <=> ((~![X: $i, Y: $i, Z: $i] : ((~iext(uri_ex_hasAncestor, Y, Z)) | iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y)))) | ((~iext(uri_ex_hasAncestor, uri_ex_alice, uri_ex_bob)) | (~iext(uri_ex_hasAncestor, uri_ex_bob, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor))) | iext(uri_ex_hasAncestor, uri_ex_alice, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor))))),
% 0.19/0.42 inference(monotonicity,[status(thm)],[156])).
% 0.19/0.42 tff(158,plain,
% 0.19/0.42 (((~![X: $i, Y: $i, Z: $i] : ((~iext(uri_ex_hasAncestor, Y, Z)) | iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y)))) | ((~iext(uri_ex_hasAncestor, uri_ex_bob, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor))) | iext(uri_ex_hasAncestor, uri_ex_alice, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor)) | (~iext(uri_ex_hasAncestor, uri_ex_alice, uri_ex_bob)))) <=> ((~![X: $i, Y: $i, Z: $i] : ((~iext(uri_ex_hasAncestor, Y, Z)) | iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y)))) | (~iext(uri_ex_hasAncestor, uri_ex_alice, uri_ex_bob)) | (~iext(uri_ex_hasAncestor, uri_ex_bob, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor))) | iext(uri_ex_hasAncestor, uri_ex_alice, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor)))),
% 0.19/0.42 inference(transitivity,[status(thm)],[157, 155])).
% 0.19/0.42 tff(159,plain,
% 0.19/0.42 ((~![X: $i, Y: $i, Z: $i] : ((~iext(uri_ex_hasAncestor, Y, Z)) | iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y)))) | ((~iext(uri_ex_hasAncestor, uri_ex_bob, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor))) | iext(uri_ex_hasAncestor, uri_ex_alice, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor)) | (~iext(uri_ex_hasAncestor, uri_ex_alice, uri_ex_bob)))),
% 0.19/0.42 inference(quant_inst,[status(thm)],[])).
% 0.19/0.42 tff(160,plain,
% 0.19/0.42 ((~![X: $i, Y: $i, Z: $i] : ((~iext(uri_ex_hasAncestor, Y, Z)) | iext(uri_ex_hasAncestor, X, Z) | (~iext(uri_ex_hasAncestor, X, Y)))) | (~iext(uri_ex_hasAncestor, uri_ex_alice, uri_ex_bob)) | (~iext(uri_ex_hasAncestor, uri_ex_bob, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor))) | iext(uri_ex_hasAncestor, uri_ex_alice, tptp_fun_Y_0(uri_ex_bob, uri_ex_hasAncestor))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[159, 158])).
% 0.19/0.42 tff(161,plain,
% 0.19/0.42 ($false),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[160, 154, 153, 93, 111])).
% 0.19/0.42 % SZS output end Proof
% 0.19/0.42 % E exiting
%------------------------------------------------------------------------------