%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWB097+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n032.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 : Thu Aug 31 20:03:07 EDT 2023

% Result   : Theorem 22.66s 22.97s
% Output   : Proof 22.66s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWB097+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.12  % Command    : do_cvc5 %s %d
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Sun Aug 27 07:43:30 EDT 2023
% 0.11/0.31  % CPUTime    : 
% 0.15/0.42  %----Proving TF0_NAR, FOF, or CNF
% 22.66/22.97  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Y4pFSaloS0/cvc5---1.0.5_10150.p...
% 22.66/22.97  ------- get file name : TPTP file name is SWB097+1
% 22.66/22.97  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10150.smt2...
% 22.66/22.97  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 22.66/22.97  --- Run --no-e-matching --full-saturate-quant at 5...
% 22.66/22.97  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 22.66/22.97  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 22.66/22.97  % SZS status Theorem for SWB097+1
% 22.66/22.97  % SZS output start Proof for SWB097+1
% 22.66/22.97  (
% 22.66/22.97  (let ((_let_1 (tptp.iext tptp.uri_ex_p tptp.uri_ex_w tptp.uri_ex_x))) (let ((_let_2 (tptp.iext tptp.uri_rdf_type tptp.uri_ex_x tptp.uri_ex_c))) (let ((_let_3 (tptp.iext tptp.uri_owl_onClass tptp.uri_ex_z tptp.uri_ex_c))) (let ((_let_4 (tptp.iext tptp.uri_owl_onProperty tptp.uri_ex_z tptp.uri_ex_p))) (let ((_let_5 (tptp.iext tptp.uri_owl_minQualifiedCardinality tptp.uri_ex_z (tptp.literal_typed tptp.dat_str_1 tptp.uri_xsd_nonNegativeInteger)))) (let ((_let_6 (and _let_5 _let_4 _let_3 _let_2 _let_1))) (let ((_let_7 (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w tptp.uri_ex_z))) (let ((_let_8 (not _let_7))) (let ((_let_9 (or tptp.tautology (not tptp.tautology)))) (let ((_let_10 (forall ((Z $$unsorted) (P $$unsorted) (C $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_minQualifiedCardinality Z (tptp.literal_typed tptp.dat_str_1 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P) (tptp.iext tptp.uri_owl_onClass Z C)) (forall ((X $$unsorted)) (= (tptp.icext Z X) (exists ((Y $$unsorted)) (and (tptp.iext P X Y) (tptp.icext C Y))))))))) (let ((_let_11 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_predicate tptp.uri_rdfs_Resource))) (let ((_let_12 (forall ((X $$unsorted) (C $$unsorted)) (= (tptp.iext tptp.uri_rdf_type X C) (tptp.icext C X))))) (let ((_let_13 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_type tptp.uri_rdf_Property))) (let ((_let_14 (tptp.icext tptp.uri_ex_c tptp.uri_ex_x))) (let ((_let_15 (= _let_2 _let_14))) (let ((_let_16 (_let_12))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 (not _let_15))) (let ((_let_19 (not _let_14))) (let ((_let_20 (not _let_1))) (let ((_let_21 (or _let_20 _let_19))) (let ((_let_22 (forall ((Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_p tptp.uri_ex_w Y)) (not (tptp.icext tptp.uri_ex_c Y)))))) (let ((_let_23 (forall ((Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_p tptp.uri_ex_w Y)) (not (tptp.icext tptp.uri_ex_c Y)))))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.icext tptp.uri_ex_z tptp.uri_ex_w))) (let ((_let_26 (= _let_25 _let_24))) (let ((_let_27 (not _let_3))) (let ((_let_28 (not _let_4))) (let ((_let_29 (not _let_5))) (let ((_let_30 (or _let_29 _let_28 _let_27 _let_26))) (let ((_let_31 (forall ((Z $$unsorted) (P $$unsorted) (C $$unsorted) (BOUND_VARIABLE_7682 $$unsorted)) (or (not (tptp.iext tptp.uri_owl_minQualifiedCardinality Z (tptp.literal_typed tptp.dat_str_1 tptp.uri_xsd_nonNegativeInteger))) (not (tptp.iext tptp.uri_owl_onProperty Z P)) (not (tptp.iext tptp.uri_owl_onClass Z C)) (= (tptp.icext Z BOUND_VARIABLE_7682) (not (forall ((Y $$unsorted)) (or (not (tptp.iext P BOUND_VARIABLE_7682 Y)) (not (tptp.icext C Y)))))))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (ASSUME :args (_let_6)))) (let ((_let_34 (= _let_7 _let_25))) (let ((_let_35 (not _let_25))) (let ((_let_36 (not _let_26))) (let ((_let_37 (_let_22))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.uri_ex_x tptp.uri_ex_c QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_16)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_15)) :args ((or (not _let_2) _let_14 _let_18))) (AND_ELIM _let_33 :args (3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_20 _let_19 (not _let_21)))) (AND_ELIM _let_33 :args (4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_37) :args (tptp.uri_ex_x QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_37)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_22 (= Y Y)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_26)) (CONG (REFL :args (_let_36)) (REFL :args (_let_25)) (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args (or))) :args ((or _let_25 _let_23 _let_36))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_34)) :args ((or _let_7 _let_35 (not _let_34)))) (ASSUME :args (_let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.uri_ex_w tptp.uri_ex_z QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_16)) _let_17 :args (_let_34 false _let_12)) :args (_let_35 true _let_7 false _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_29 _let_28 _let_27 _let_26 (not _let_30)))) (AND_ELIM _let_33 :args (0)) (AND_ELIM _let_33 :args (1)) (AND_ELIM _let_33 :args (2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.uri_ex_z tptp.uri_ex_p tptp.uri_ex_c tptp.uri_ex_w QUANTIFIERS_INST_CBQI_PROP)) :args (_let_31))) _let_32 :args (_let_30 false _let_31)) :args (_let_26 false _let_5 false _let_4 false _let_3 false _let_30)) :args (_let_23 true _let_25 false _let_26)) :args (_let_22 false _let_23)) :args (_let_21 false _let_22)) :args (_let_19 false _let_1 false _let_21)) :args (_let_18 false _let_2 true _let_14)) _let_17 :args (false true _let_15 false _let_12)) :args ((forall ((S $$unsorted) (P $$unsorted) (O $$unsorted)) (=> (tptp.iext P S O) (tptp.ip P))) (forall ((X $$unsorted)) (tptp.ir X)) (forall ((X $$unsorted)) (=> (tptp.lv X) (tptp.ir X))) (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_first tptp.uri_rdf_Property) (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_nil tptp.uri_rdf_List) (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_rest tptp.uri_rdf_Property) (tptp.iext tptp.uri_rdf_type tptp.uri_rdf__1 tptp.uri_rdf_Property) (tptp.iext tptp.uri_rdf_type tptp.uri_rdf__2 tptp.uri_rdf_Property) (tptp.iext tptp.uri_rdf_type tptp.uri_rdf__3 tptp.uri_rdf_Property) (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_object tptp.uri_rdf_Property) (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_value tptp.uri_rdf_Property) (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_subject tptp.uri_rdf_Property) (forall ((P $$unsorted)) (= (tptp.iext tptp.uri_rdf_type P tptp.uri_rdf_Property) (tptp.ip P))) _let_13 _let_13 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_comment tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_comment tptp.uri_rdfs_Literal) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_isDefinedBy tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_isDefinedBy tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_subPropertyOf tptp.uri_rdfs_isDefinedBy tptp.uri_rdfs_seeAlso) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_label tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_label tptp.uri_rdfs_Literal) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_seeAlso tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_seeAlso tptp.uri_rdfs_Resource) _let_12 (forall ((C $$unsorted)) (=> (tptp.ic C) (tptp.iext tptp.uri_rdfs_subClassOf C tptp.uri_rdfs_Resource))) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_first tptp.uri_rdf_List) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_first tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_rest tptp.uri_rdf_List) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_rest tptp.uri_rdf_List) (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_rdf_Alt tptp.uri_rdfs_Container) (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_rdf_Bag tptp.uri_rdfs_Container) (forall ((P $$unsorted)) (=> (tptp.icext tptp.uri_rdfs_ContainerMembershipProperty P) (tptp.iext tptp.uri_rdfs_subPropertyOf P tptp.uri_rdfs_member))) (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_rdfs_ContainerMembershipProperty tptp.uri_rdf_Property) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_member tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_member tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf__1 tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf__2 tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf__3 tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf__1 tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf__2 tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf__3 tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdf_type tptp.uri_rdf__1 tptp.uri_rdfs_ContainerMembershipProperty) (tptp.iext tptp.uri_rdf_type tptp.uri_rdf__2 tptp.uri_rdfs_ContainerMembershipProperty) (tptp.iext tptp.uri_rdf_type tptp.uri_rdf__3 tptp.uri_rdfs_ContainerMembershipProperty) (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_rdfs_Seq tptp.uri_rdfs_Container) (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_rdf_XMLLiteral tptp.uri_rdfs_Literal) (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_XMLLiteral tptp.uri_rdfs_Datatype) (forall ((D $$unsorted)) (=> (tptp.icext tptp.uri_rdfs_Datatype D) (tptp.iext tptp.uri_rdfs_subClassOf D tptp.uri_rdfs_Literal))) (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_rdfs_Datatype tptp.uri_rdfs_Class) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_domain tptp.uri_rdf_Property) (forall ((P $$unsorted) (C $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (and (tptp.iext tptp.uri_rdfs_domain P C) (tptp.iext P X Y)) (tptp.icext C X))) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_domain tptp.uri_rdfs_Class) (forall ((X $$unsorted)) (= (tptp.ic X) (tptp.icext tptp.uri_rdfs_Class X))) (forall ((X $$unsorted)) (= (tptp.ir X) (tptp.icext tptp.uri_rdfs_Resource X))) (forall ((X $$unsorted)) (= (tptp.lv X) (tptp.icext tptp.uri_rdfs_Literal X))) (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_Property tptp.uri_rdfs_Class) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_range tptp.uri_rdf_Property) (forall ((P $$unsorted) (C $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (and (tptp.iext tptp.uri_rdfs_range P C) (tptp.iext P X Y)) (tptp.icext C Y))) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_range tptp.uri_rdfs_Class) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_object tptp.uri_rdfs_Statement) _let_11 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_predicate tptp.uri_rdfs_Statement) _let_11 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_subject tptp.uri_rdfs_Statement) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_subject tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_subClassOf tptp.uri_rdfs_Class) (forall ((C $$unsorted) (D $$unsorted)) (=> (tptp.iext tptp.uri_rdfs_subClassOf C D) (and (tptp.ic C) (tptp.ic D) (forall ((X $$unsorted)) (=> (tptp.icext C X) (tptp.icext D X)))))) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_subClassOf tptp.uri_rdfs_Class) (forall ((C $$unsorted)) (=> (tptp.ic C) (tptp.iext tptp.uri_rdfs_subClassOf C C))) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.iext tptp.uri_rdfs_subClassOf C D) (tptp.iext tptp.uri_rdfs_subClassOf D E)) (tptp.iext tptp.uri_rdfs_subClassOf C E))) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_subPropertyOf tptp.uri_rdf_Property) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.iext tptp.uri_rdfs_subPropertyOf P Q) (and (tptp.ip P) (tptp.ip Q) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext P X Y) (tptp.iext Q X Y)))))) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_subPropertyOf tptp.uri_rdf_Property) (forall ((P $$unsorted)) (=> (tptp.ip P) (tptp.iext tptp.uri_rdfs_subPropertyOf P P))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (=> (and (tptp.iext tptp.uri_rdfs_subPropertyOf P Q) (tptp.iext tptp.uri_rdfs_subPropertyOf Q R)) (tptp.iext tptp.uri_rdfs_subPropertyOf P R))) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_type tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_type tptp.uri_rdfs_Class) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_value tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_value tptp.uri_rdfs_Resource) (forall ((X $$unsorted)) (=> (tptp.ic X) (forall ((Y $$unsorted)) (=> (tptp.icext X Y) (tptp.ir Y))))) (forall ((X $$unsorted)) (=> (tptp.ic X) (tptp.ir X))) (forall ((X $$unsorted)) (= (tptp.ic X) (tptp.iext tptp.uri_rdf_type X tptp.uri_rdfs_Class))) (forall ((X $$unsorted)) (=> (tptp.idc X) (forall ((Y $$unsorted)) (=> (tptp.icext X Y) (tptp.lv Y))))) (forall ((X $$unsorted)) (=> (tptp.idc X) (tptp.ic X))) (forall ((X $$unsorted)) (= (tptp.idc X) (tptp.iext tptp.uri_rdf_type X tptp.uri_rdfs_Datatype))) (forall ((X $$unsorted)) (=> (tptp.ioap X) (forall ((Y $$unsorted) (Z $$unsorted)) (=> (tptp.iext X Y Z) (and (tptp.ir Y) (tptp.ir Z)))))) (forall ((X $$unsorted)) (=> (tptp.ioap X) (tptp.ip X))) (forall ((X $$unsorted)) (= (tptp.ioap X) (tptp.iext tptp.uri_rdf_type X tptp.uri_owl_AnnotationProperty))) (forall ((X $$unsorted)) (=> (tptp.iodp X) (forall ((Y $$unsorted) (Z $$unsorted)) (=> (tptp.iext X Y Z) (and (tptp.ir Y) (tptp.lv Z)))))) (forall ((X $$unsorted)) (=> (tptp.iodp X) (tptp.ip X))) (forall ((X $$unsorted)) (= (tptp.iodp X) (tptp.iext tptp.uri_rdf_type X tptp.uri_owl_DatatypeProperty))) (forall ((X $$unsorted)) (=> (tptp.ioxp X) (forall ((Y $$unsorted) (Z $$unsorted)) (=> (tptp.iext X Y Z) (and (tptp.ix Y) (tptp.ix Z)))))) (forall ((X $$unsorted)) (=> (tptp.ioxp X) (tptp.ip X))) (forall ((X $$unsorted)) (= (tptp.ioxp X) (tptp.iext tptp.uri_rdf_type X tptp.uri_owl_OntologyProperty))) (forall ((X $$unsorted)) (=> (tptp.ip X) (forall ((Y $$unsorted) (Z $$unsorted)) (=> (tptp.iext X Y Z) (and (tptp.ir Y) (tptp.ir Z)))))) (forall ((X $$unsorted)) (=> (tptp.ip X) (tptp.ir X))) (forall ((X $$unsorted)) (= (tptp.ip X) (tptp.iext tptp.uri_rdf_type X tptp.uri_rdf_Property))) (exists ((X $$unsorted)) (tptp.ir X)) (forall ((X $$unsorted)) (= (tptp.ir X) (tptp.iext tptp.uri_rdf_type X tptp.uri_rdfs_Resource))) (forall ((X $$unsorted)) (=> (tptp.ix X) (tptp.ir X))) (forall ((X $$unsorted)) (= (tptp.ix X) (tptp.iext tptp.uri_rdf_type X tptp.uri_owl_Ontology))) (forall ((X $$unsorted)) (=> (tptp.lv X) (tptp.ir X))) (forall ((X $$unsorted)) (= (tptp.lv X) (tptp.iext tptp.uri_rdf_type X tptp.uri_rdfs_Literal))) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_owl_AllDifferent X) (tptp.ir X))) (tptp.ic tptp.uri_owl_AllDifferent) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_owl_AllDisjointClasses X) (tptp.ir X))) (tptp.ic tptp.uri_owl_AllDisjointClasses) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_owl_AllDisjointProperties X) (tptp.ir X))) (tptp.ic tptp.uri_owl_AllDisjointProperties) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_owl_Annotation X) (tptp.ir X))) (tptp.ic tptp.uri_owl_Annotation) (forall ((X $$unsorted)) (= (tptp.icext tptp.uri_owl_AnnotationProperty X) (tptp.ioap X))) (tptp.ic tptp.uri_owl_AnnotationProperty) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_owl_AsymmetricProperty X) (tptp.ip X))) (tptp.ic tptp.uri_owl_AsymmetricProperty) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_owl_Axiom X) (tptp.ir X))) (tptp.ic tptp.uri_owl_Axiom) (forall ((X $$unsorted)) (= (tptp.icext tptp.uri_owl_Class X) (tptp.ic X))) (tptp.ic tptp.uri_owl_Class) (forall ((X $$unsorted)) (= (tptp.icext tptp.uri_rdfs_Class X) (tptp.ic X))) (tptp.ic tptp.uri_rdfs_Class) (forall ((X $$unsorted)) (= (tptp.icext tptp.uri_owl_DataRange X) (tptp.idc X))) (tptp.ic tptp.uri_owl_DataRange) (forall ((X $$unsorted)) (= (tptp.icext tptp.uri_rdfs_Datatype X) (tptp.idc X))) (tptp.ic tptp.uri_rdfs_Datatype) (forall ((X $$unsorted)) (= (tptp.icext tptp.uri_owl_DatatypeProperty X) (tptp.iodp X))) (tptp.ic tptp.uri_owl_DatatypeProperty) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_owl_DeprecatedClass X) (tptp.ic X))) (tptp.ic tptp.uri_owl_DeprecatedClass) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_owl_DeprecatedProperty X) (tptp.ip X))) (tptp.ic tptp.uri_owl_DeprecatedProperty) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_owl_FunctionalProperty X) (tptp.ip X))) (tptp.ic tptp.uri_owl_FunctionalProperty) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_owl_InverseFunctionalProperty X) (tptp.ip X))) (tptp.ic tptp.uri_owl_InverseFunctionalProperty) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_owl_IrreflexiveProperty X) (tptp.ip X))) (tptp.ic tptp.uri_owl_IrreflexiveProperty) (forall ((X $$unsorted)) (= (tptp.icext tptp.uri_rdfs_Literal X) (tptp.lv X))) (tptp.idc tptp.uri_rdfs_Literal) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_owl_NamedIndividual X) (tptp.ir X))) (tptp.ic tptp.uri_owl_NamedIndividual) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_owl_NegativePropertyAssertion X) (tptp.ir X))) (tptp.ic tptp.uri_owl_NegativePropertyAssertion) (forall ((X $$unsorted)) (not (tptp.icext tptp.uri_owl_Nothing X))) (tptp.ic tptp.uri_owl_Nothing) (forall ((X $$unsorted)) (= (tptp.icext tptp.uri_owl_ObjectProperty X) (tptp.ip X))) (tptp.ic tptp.uri_owl_ObjectProperty) (forall ((X $$unsorted)) (= (tptp.icext tptp.uri_owl_Ontology X) (tptp.ix X))) (tptp.ic tptp.uri_owl_Ontology) (forall ((X $$unsorted)) (= (tptp.icext tptp.uri_owl_OntologyProperty X) (tptp.ioxp X))) (tptp.ic tptp.uri_owl_OntologyProperty) (forall ((X $$unsorted)) (= (tptp.icext tptp.uri_rdf_Property X) (tptp.ip X))) (tptp.ic tptp.uri_rdf_Property) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_owl_ReflexiveProperty X) (tptp.ip X))) (tptp.ic tptp.uri_owl_ReflexiveProperty) (forall ((X $$unsorted)) (= (tptp.icext tptp.uri_rdfs_Resource X) (tptp.ir X))) (tptp.ic tptp.uri_rdfs_Resource) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_owl_Restriction X) (tptp.ic X))) (tptp.ic tptp.uri_owl_Restriction) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_owl_SymmetricProperty X) (tptp.ip X))) (tptp.ic tptp.uri_owl_SymmetricProperty) (forall ((X $$unsorted)) (= (tptp.icext tptp.uri_owl_Thing X) (tptp.ir X))) (tptp.ic tptp.uri_owl_Thing) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_owl_TransitiveProperty X) (tptp.ip X))) (tptp.ic tptp.uri_owl_TransitiveProperty) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_allValuesFrom X Y) (and (tptp.icext tptp.uri_owl_Restriction X) (tptp.ic Y)))) (tptp.ip tptp.uri_owl_allValuesFrom) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_annotatedProperty X Y) (and (tptp.ir X) (tptp.ir Y)))) (tptp.ip tptp.uri_owl_annotatedProperty) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_annotatedSource X Y) (and (tptp.ir X) (tptp.ir Y)))) (tptp.ip tptp.uri_owl_annotatedSource) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_annotatedTarget X Y) (and (tptp.ir X) (tptp.ir Y)))) (tptp.ip tptp.uri_owl_annotatedTarget) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_assertionProperty X Y) (and (tptp.icext tptp.uri_owl_NegativePropertyAssertion X) (tptp.ip Y)))) (tptp.ip tptp.uri_owl_assertionProperty) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_backwardCompatibleWith X Y) (and (tptp.ix X) (tptp.ix Y)))) (tptp.ioap tptp.uri_owl_backwardCompatibleWith) (tptp.ioxp tptp.uri_owl_backwardCompatibleWith) (forall ((X $$unsorted) (Y $$unsorted)) (not (tptp.iext tptp.uri_owl_bottomDataProperty X Y))) (tptp.iodp tptp.uri_owl_bottomDataProperty) (forall ((X $$unsorted) (Y $$unsorted)) (not (tptp.iext tptp.uri_owl_bottomObjectProperty X Y))) (tptp.ip tptp.uri_owl_bottomObjectProperty) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_cardinality X Y) (and (tptp.icext tptp.uri_owl_Restriction X) (tptp.icext tptp.uri_xml_nonNegativeInteger Y)))) (tptp.ip tptp.uri_owl_cardinality) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_rdfs_comment X Y) (and (tptp.ir X) (tptp.lv Y)))) (tptp.ioap tptp.uri_rdfs_comment) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_complementOf X Y) (and (tptp.ic X) (tptp.ic Y)))) (tptp.ip tptp.uri_owl_complementOf) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_datatypeComplementOf X Y) (and (tptp.idc X) (tptp.idc Y)))) (tptp.ip tptp.uri_owl_datatypeComplementOf) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_deprecated X Y) (and (tptp.ir X) (tptp.ir Y)))) (tptp.ioap tptp.uri_owl_deprecated) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_differentFrom X Y) (and (tptp.ir X) (tptp.ir Y)))) (tptp.ip tptp.uri_owl_differentFrom) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_disjointUnionOf X Y) (and (tptp.ic X) (tptp.icext tptp.uri_rdf_List Y)))) (tptp.ip tptp.uri_owl_disjointUnionOf) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_disjointWith X Y) (and (tptp.ic X) (tptp.ic Y)))) (tptp.ip tptp.uri_owl_disjointWith) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_distinctMembers X Y) (and (tptp.icext tptp.uri_owl_AllDifferent X) (tptp.icext tptp.uri_rdf_List Y)))) (tptp.ip tptp.uri_owl_distinctMembers) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_equivalentClass X Y) (and (tptp.ic X) (tptp.ic Y)))) (tptp.ip tptp.uri_owl_equivalentClass) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_equivalentProperty X Y) (and (tptp.ip X) (tptp.ip Y)))) (tptp.ip tptp.uri_owl_equivalentProperty) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_hasKey X Y) (and (tptp.ic X) (tptp.icext tptp.uri_rdf_List Y)))) (tptp.ip tptp.uri_owl_hasKey) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_hasSelf X Y) (and (tptp.icext tptp.uri_owl_Restriction X) (tptp.ir Y)))) (tptp.ip tptp.uri_owl_hasSelf) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_hasValue X Y) (and (tptp.icext tptp.uri_owl_Restriction X) (tptp.ir Y)))) (tptp.ip tptp.uri_owl_hasValue) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_imports X Y) (and (tptp.ix X) (tptp.ix Y)))) (tptp.ioxp tptp.uri_owl_imports) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_incompatibleWith X Y) (and (tptp.ix X) (tptp.ix Y)))) (tptp.ioap tptp.uri_owl_incompatibleWith) (tptp.ioxp tptp.uri_owl_incompatibleWith) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_intersectionOf X Y) (and (tptp.ic X) (tptp.icext tptp.uri_rdf_List Y)))) (tptp.ip tptp.uri_owl_intersectionOf) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_inverseOf X Y) (and (tptp.ip X) (tptp.ip Y)))) (tptp.ip tptp.uri_owl_inverseOf) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_rdfs_isDefinedBy X Y) (and (tptp.ir X) (tptp.ir Y)))) (tptp.ioap tptp.uri_rdfs_isDefinedBy) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_rdfs_label X Y) (and (tptp.ir X) (tptp.lv Y)))) (tptp.ioap tptp.uri_rdfs_label) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_maxCardinality X Y) (and (tptp.icext tptp.uri_owl_Restriction X) (tptp.icext tptp.uri_xml_nonNegativeInteger Y)))) (tptp.ip tptp.uri_owl_maxCardinality) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_maxQualifiedCardinality X Y) (and (tptp.icext tptp.uri_owl_Restriction X) (tptp.icext tptp.uri_xml_nonNegativeInteger Y)))) (tptp.ip tptp.uri_owl_maxQualifiedCardinality) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_members X Y) (and (tptp.ir X) (tptp.icext tptp.uri_rdf_List Y)))) (tptp.ip tptp.uri_owl_members) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_minCardinality X Y) (and (tptp.icext tptp.uri_owl_Restriction X) (tptp.icext tptp.uri_xml_nonNegativeInteger Y)))) (tptp.ip tptp.uri_owl_minCardinality) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_minQualifiedCardinality X Y) (and (tptp.icext tptp.uri_owl_Restriction X) (tptp.icext tptp.uri_xml_nonNegativeInteger Y)))) (tptp.ip tptp.uri_owl_minQualifiedCardinality) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_onClass X Y) (and (tptp.icext tptp.uri_owl_Restriction X) (tptp.ic Y)))) (tptp.ip tptp.uri_owl_onClass) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_onDataRange X Y) (and (tptp.icext tptp.uri_owl_Restriction X) (tptp.idc Y)))) (tptp.ip tptp.uri_owl_onDataRange) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_onDatatype X Y) (and (tptp.idc X) (tptp.idc Y)))) (tptp.ip tptp.uri_owl_onDatatype) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_oneOf X Y) (and (tptp.ic X) (tptp.icext tptp.uri_rdf_List Y)))) (tptp.ip tptp.uri_owl_oneOf) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_onProperty X Y) (and (tptp.icext tptp.uri_owl_Restriction X) (tptp.ip Y)))) (tptp.ip tptp.uri_owl_onProperty) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_priorVersion X Y) (and (tptp.ix X) (tptp.ix Y)))) (tptp.ioap tptp.uri_owl_priorVersion) (tptp.ioxp tptp.uri_owl_priorVersion) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_propertyChainAxiom X Y) (and (tptp.ip X) (tptp.icext tptp.uri_rdf_List Y)))) (tptp.ip tptp.uri_owl_propertyChainAxiom) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_propertyDisjointWith X Y) (and (tptp.ip X) (tptp.ip Y)))) (tptp.ip tptp.uri_owl_propertyDisjointWith) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_qualifiedCardinality X Y) (and (tptp.icext tptp.uri_owl_Restriction X) (tptp.icext tptp.uri_xml_nonNegativeInteger Y)))) (tptp.ip tptp.uri_owl_qualifiedCardinality) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_sameAs X Y) (and (tptp.ir X) (tptp.ir Y)))) (tptp.ip tptp.uri_owl_sameAs) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_rdfs_seeAlso X Y) (and (tptp.ir X) (tptp.ir Y)))) (tptp.ioap tptp.uri_rdfs_seeAlso) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_someValuesFrom X Y) (and (tptp.icext tptp.uri_owl_Restriction X) (tptp.ic Y)))) (tptp.ip tptp.uri_owl_someValuesFrom) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_sourceIndividual X Y) (and (tptp.icext tptp.uri_owl_NegativePropertyAssertion X) (tptp.ir Y)))) (tptp.ip tptp.uri_owl_sourceIndividual) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_targetIndividual X Y) (and (tptp.icext tptp.uri_owl_NegativePropertyAssertion X) (tptp.ir Y)))) (tptp.ip tptp.uri_owl_targetIndividual) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_targetValue X Y) (and (tptp.icext tptp.uri_owl_NegativePropertyAssertion X) (tptp.lv Y)))) (tptp.ip tptp.uri_owl_targetValue) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext tptp.uri_owl_topDataProperty X Y) (and (tptp.ir X) (tptp.lv Y)))) (tptp.iodp tptp.uri_owl_topDataProperty) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext tptp.uri_owl_topObjectProperty X Y) (and (tptp.ir X) (tptp.ir Y)))) (tptp.ip tptp.uri_owl_topObjectProperty) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_unionOf X Y) (and (tptp.ic X) (tptp.icext tptp.uri_rdf_List Y)))) (tptp.ip tptp.uri_owl_unionOf) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_versionInfo X Y) (and (tptp.ir X) (tptp.ir Y)))) (tptp.ioap tptp.uri_owl_versionInfo) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_versionIRI X Y) (and (tptp.ix X) (tptp.ix Y)))) (tptp.ioxp tptp.uri_owl_versionIRI) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_withRestrictions X Y) (and (tptp.idc X) (tptp.icext tptp.uri_rdf_List Y)))) (tptp.ip tptp.uri_owl_withRestrictions) (forall ((Z $$unsorted) (C $$unsorted)) (=> (tptp.iext tptp.uri_owl_complementOf Z C) (and (tptp.ic Z) (tptp.ic C) (forall ((X $$unsorted)) (= (tptp.icext Z X) (not (tptp.icext C X))))))) (forall ((Z $$unsorted) (D $$unsorted)) (=> (tptp.iext tptp.uri_owl_datatypeComplementOf Z D) (forall ((X $$unsorted)) (= (tptp.icext Z X) (and (tptp.lv X) (not (tptp.icext D X))))))) (forall ((Z $$unsorted)) (= (tptp.iext tptp.uri_owl_intersectionOf Z tptp.uri_rdf_nil) (and (tptp.ic Z) (forall ((X $$unsorted)) (= (tptp.icext Z X) (tptp.ir X)))))) (forall ((Z $$unsorted) (S1 $$unsorted) (C1 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 C1) (tptp.iext tptp.uri_rdf_rest S1 tptp.uri_rdf_nil)) (= (tptp.iext tptp.uri_owl_intersectionOf Z S1) (and (tptp.ic Z) (tptp.ic C1) (forall ((X $$unsorted)) (= (tptp.icext Z X) (tptp.icext C1 X))))))) (forall ((Z $$unsorted) (S1 $$unsorted) (C1 $$unsorted) (S2 $$unsorted) (C2 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 C1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 C2) (tptp.iext tptp.uri_rdf_rest S2 tptp.uri_rdf_nil)) (= (tptp.iext tptp.uri_owl_intersectionOf Z S1) (and (tptp.ic Z) (tptp.ic C1) (tptp.ic C2) (forall ((X $$unsorted)) (= (tptp.icext Z X) (and (tptp.icext C1 X) (tptp.icext C2 X)))))))) (forall ((Z $$unsorted) (S1 $$unsorted) (C1 $$unsorted) (S2 $$unsorted) (C2 $$unsorted) (S3 $$unsorted) (C3 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 C1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 C2) (tptp.iext tptp.uri_rdf_rest S2 S3) (tptp.iext tptp.uri_rdf_first S3 C3) (tptp.iext tptp.uri_rdf_rest S3 tptp.uri_rdf_nil)) (= (tptp.iext tptp.uri_owl_intersectionOf Z S1) (and (tptp.ic Z) (tptp.ic C1) (tptp.ic C2) (tptp.ic C3) (forall ((X $$unsorted)) (= (tptp.icext Z X) (and (tptp.icext C1 X) (tptp.icext C2 X) (tptp.icext C3 X)))))))) (forall ((Z $$unsorted) (S1 $$unsorted) (D1 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 D1) (tptp.iext tptp.uri_rdf_rest S1 tptp.uri_rdf_nil) (tptp.idc D1) (tptp.iext tptp.uri_owl_intersectionOf Z S1)) (tptp.idc Z))) (forall ((Z $$unsorted) (S1 $$unsorted) (D1 $$unsorted) (S2 $$unsorted) (D2 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 D1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 D2) (tptp.iext tptp.uri_rdf_rest S2 tptp.uri_rdf_nil) (tptp.idc D1) (tptp.idc D2) (tptp.iext tptp.uri_owl_intersectionOf Z S1)) (tptp.idc Z))) (forall ((Z $$unsorted) (S1 $$unsorted) (D1 $$unsorted) (S2 $$unsorted) (D2 $$unsorted) (S3 $$unsorted) (D3 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 D1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 D2) (tptp.iext tptp.uri_rdf_rest S2 S3) (tptp.iext tptp.uri_rdf_first S3 D3) (tptp.iext tptp.uri_rdf_rest S3 tptp.uri_rdf_nil) (tptp.idc D1) (tptp.idc D2) (tptp.idc D3) (tptp.iext tptp.uri_owl_intersectionOf Z S1)) (tptp.idc Z))) (forall ((Z $$unsorted)) (= (tptp.iext tptp.uri_owl_unionOf Z tptp.uri_rdf_nil) (and (tptp.ic Z) (forall ((X $$unsorted)) (not (tptp.icext Z X)))))) (forall ((Z $$unsorted) (S1 $$unsorted) (C1 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 C1) (tptp.iext tptp.uri_rdf_rest S1 tptp.uri_rdf_nil)) (= (tptp.iext tptp.uri_owl_unionOf Z S1) (and (tptp.ic Z) (tptp.ic C1) (forall ((X $$unsorted)) (= (tptp.icext Z X) (tptp.icext C1 X))))))) (forall ((Z $$unsorted) (S1 $$unsorted) (C1 $$unsorted) (S2 $$unsorted) (C2 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 C1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 C2) (tptp.iext tptp.uri_rdf_rest S2 tptp.uri_rdf_nil)) (= (tptp.iext tptp.uri_owl_unionOf Z S1) (and (tptp.ic Z) (tptp.ic C1) (tptp.ic C2) (forall ((X $$unsorted)) (= (tptp.icext Z X) (or (tptp.icext C1 X) (tptp.icext C2 X)))))))) (forall ((Z $$unsorted) (S1 $$unsorted) (C1 $$unsorted) (S2 $$unsorted) (C2 $$unsorted) (S3 $$unsorted) (C3 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 C1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 C2) (tptp.iext tptp.uri_rdf_rest S2 S3) (tptp.iext tptp.uri_rdf_first S3 C3) (tptp.iext tptp.uri_rdf_rest S3 tptp.uri_rdf_nil)) (= (tptp.iext tptp.uri_owl_unionOf Z S1) (and (tptp.ic Z) (tptp.ic C1) (tptp.ic C2) (tptp.ic C3) (forall ((X $$unsorted)) (= (tptp.icext Z X) (or (tptp.icext C1 X) (tptp.icext C2 X) (tptp.icext C3 X)))))))) (forall ((Z $$unsorted) (S1 $$unsorted) (D1 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 D1) (tptp.iext tptp.uri_rdf_rest S1 tptp.uri_rdf_nil) (tptp.idc D1) (tptp.iext tptp.uri_owl_unionOf Z S1)) (tptp.idc Z))) (forall ((Z $$unsorted) (S1 $$unsorted) (D1 $$unsorted) (S2 $$unsorted) (D2 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 D1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 D2) (tptp.iext tptp.uri_rdf_rest S2 tptp.uri_rdf_nil) (tptp.idc D1) (tptp.idc D2) (tptp.iext tptp.uri_owl_unionOf Z S1)) (tptp.idc Z))) (forall ((Z $$unsorted) (S1 $$unsorted) (D1 $$unsorted) (S2 $$unsorted) (D2 $$unsorted) (S3 $$unsorted) (D3 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 D1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 D2) (tptp.iext tptp.uri_rdf_rest S2 S3) (tptp.iext tptp.uri_rdf_first S3 D3) (tptp.iext tptp.uri_rdf_rest S3 tptp.uri_rdf_nil) (tptp.idc D1) (tptp.idc D2) (tptp.idc D3) (tptp.iext tptp.uri_owl_unionOf Z S1)) (tptp.idc Z))) (forall ((Z $$unsorted)) (= (tptp.iext tptp.uri_owl_oneOf Z tptp.uri_rdf_nil) (and (tptp.ic Z) (forall ((X $$unsorted)) (not (tptp.icext Z X)))))) (forall ((Z $$unsorted) (S1 $$unsorted) (A1 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 A1) (tptp.iext tptp.uri_rdf_rest S1 tptp.uri_rdf_nil)) (= (tptp.iext tptp.uri_owl_oneOf Z S1) (and (tptp.ic Z) (forall ((X $$unsorted)) (= (tptp.icext Z X) (= X A1))))))) (forall ((Z $$unsorted) (S1 $$unsorted) (A1 $$unsorted) (S2 $$unsorted) (A2 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 A1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 A2) (tptp.iext tptp.uri_rdf_rest S2 tptp.uri_rdf_nil)) (= (tptp.iext tptp.uri_owl_oneOf Z S1) (and (tptp.ic Z) (forall ((X $$unsorted)) (= (tptp.icext Z X) (or (= X A1) (= X A2)))))))) (forall ((Z $$unsorted) (S1 $$unsorted) (A1 $$unsorted) (S2 $$unsorted) (A2 $$unsorted) (S3 $$unsorted) (A3 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 A1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 A2) (tptp.iext tptp.uri_rdf_rest S2 S3) (tptp.iext tptp.uri_rdf_first S3 A3) (tptp.iext tptp.uri_rdf_rest S3 tptp.uri_rdf_nil)) (= (tptp.iext tptp.uri_owl_oneOf Z S1) (and (tptp.ic Z) (forall ((X $$unsorted)) (= (tptp.icext Z X) (or (= X A1) (= X A2) (= X A3)))))))) (forall ((Z $$unsorted) (S1 $$unsorted) (V1 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 V1) (tptp.iext tptp.uri_rdf_rest S1 tptp.uri_rdf_nil) (tptp.lv V1) (tptp.iext tptp.uri_owl_oneOf Z S1)) (tptp.idc Z))) (forall ((Z $$unsorted) (S1 $$unsorted) (V1 $$unsorted) (S2 $$unsorted) (V2 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 V1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 V2) (tptp.iext tptp.uri_rdf_rest S2 tptp.uri_rdf_nil) (tptp.lv V1) (tptp.lv V2) (tptp.iext tptp.uri_owl_oneOf Z S1)) (tptp.idc Z))) (forall ((Z $$unsorted) (S1 $$unsorted) (V1 $$unsorted) (S2 $$unsorted) (V2 $$unsorted) (S3 $$unsorted) (V3 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 V1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 V2) (tptp.iext tptp.uri_rdf_rest S2 S3) (tptp.iext tptp.uri_rdf_first S3 V3) (tptp.iext tptp.uri_rdf_rest S3 tptp.uri_rdf_nil) (tptp.lv V1) (tptp.lv V2) (tptp.lv V3) (tptp.iext tptp.uri_owl_oneOf Z S1)) (tptp.idc Z))) (forall ((Z $$unsorted) (P $$unsorted) (C $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_allValuesFrom Z C) (tptp.iext tptp.uri_owl_onProperty Z P)) (forall ((X $$unsorted)) (= (tptp.icext Z X) (forall ((Y $$unsorted)) (=> (tptp.iext P X Y) (tptp.icext C Y))))))) (forall ((Z $$unsorted) (P $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_cardinality Z (tptp.literal_typed tptp.dat_str_0 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P)) (forall ((X $$unsorted)) (= (tptp.icext Z X) (not (exists ((Y $$unsorted)) (tptp.iext P X Y))))))) (forall ((Z $$unsorted) (P $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_cardinality Z (tptp.literal_typed tptp.dat_str_1 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P)) (forall ((X $$unsorted)) (= (tptp.icext Z X) (and (exists ((Y $$unsorted)) (tptp.iext P X Y)) (forall ((Y1 $$unsorted) (Y2 $$unsorted)) (=> (and (tptp.iext P X Y1) (tptp.iext P X Y2)) (= Y2 Y1)))))))) (forall ((Z $$unsorted) (P $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_cardinality Z (tptp.literal_typed tptp.dat_str_2 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P)) (forall ((X $$unsorted)) (= (tptp.icext Z X) (and (exists ((Y1 $$unsorted) (Y2 $$unsorted)) (and (tptp.iext P X Y1) (tptp.iext P X Y2) (not (= Y1 Y2)))) (forall ((Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted)) (=> (and (tptp.iext P X Y1) (tptp.iext P X Y2) (tptp.iext P X Y3)) (or (= Y3 Y1) (= Y3 Y2))))))))) (forall ((Z $$unsorted) (P $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_cardinality Z (tptp.literal_typed tptp.dat_str_3 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P)) (forall ((X $$unsorted)) (= (tptp.icext Z X) (and (exists ((Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted)) (and (tptp.iext P X Y1) (tptp.iext P X Y2) (tptp.iext P X Y3) (not (= Y1 Y2)) (not (= Y1 Y3)) (not (= Y2 Y3)))) (forall ((Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted) (Y4 $$unsorted)) (=> (and (tptp.iext P X Y1) (tptp.iext P X Y2) (tptp.iext P X Y3) (tptp.iext P X Y4)) (or (= Y4 Y1) (= Y4 Y2) (= Y4 Y3))))))))) (forall ((Z $$unsorted) (P $$unsorted) (D $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_qualifiedCardinality Z (tptp.literal_typed tptp.dat_str_0 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P) (tptp.iext tptp.uri_owl_onDataRange Z D)) (and (tptp.iodp P) (forall ((X $$unsorted)) (= (tptp.icext Z X) (not (exists ((Y $$unsorted)) (and (tptp.lv Y) (tptp.iext P X Y) (tptp.icext D Y))))))))) (forall ((Z $$unsorted) (P $$unsorted) (D $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_qualifiedCardinality Z (tptp.literal_typed tptp.dat_str_1 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P) (tptp.iext tptp.uri_owl_onDataRange Z D)) (and (tptp.iodp P) (forall ((X $$unsorted)) (= (tptp.icext Z X) (and (exists ((Y $$unsorted)) (and (tptp.lv Y) (tptp.iext P X Y) (tptp.icext D Y))) (forall ((Y1 $$unsorted) (Y2 $$unsorted)) (=> (and (tptp.lv Y1) (tptp.iext P X Y1) (tptp.icext D Y1) (tptp.lv Y2) (tptp.iext P X Y2) (tptp.icext D Y2)) (= Y2 Y1))))))))) (forall ((Z $$unsorted) (P $$unsorted) (D $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_qualifiedCardinality Z (tptp.literal_typed tptp.dat_str_2 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P) (tptp.iext tptp.uri_owl_onDataRange Z D)) (and (tptp.iodp P) (forall ((X $$unsorted)) (= (tptp.icext Z X) (and (exists ((Y1 $$unsorted) (Y2 $$unsorted)) (and (tptp.lv Y1) (tptp.iext P X Y1) (tptp.icext D Y1) (tptp.lv Y2) (tptp.iext P X Y2) (tptp.icext D Y2) (not (= Y1 Y2)))) (forall ((Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted)) (=> (and (tptp.lv Y1) (tptp.iext P X Y1) (tptp.icext D Y1) (tptp.lv Y2) (tptp.iext P X Y2) (tptp.icext D Y2) (tptp.lv Y3) (tptp.iext P X Y3) (tptp.icext D Y3)) (or (= Y3 Y1) (= Y3 Y2)))))))))) (forall ((Z $$unsorted) (P $$unsorted) (D $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_qualifiedCardinality Z (tptp.literal_typed tptp.dat_str_3 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P) (tptp.iext tptp.uri_owl_onDataRange Z D)) (and (tptp.iodp P) (forall ((X $$unsorted)) (= (tptp.icext Z X) (and (exists ((Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted)) (and (tptp.lv Y1) (tptp.iext P X Y1) (tptp.icext D Y1) (tptp.lv Y2) (tptp.iext P X Y2) (tptp.icext D Y2) (tptp.lv Y3) (tptp.iext P X Y3) (tptp.icext D Y3) (not (= Y1 Y2)) (not (= Y1 Y3)) (not (= Y2 Y3)))) (forall ((Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted) (Y4 $$unsorted)) (=> (and (tptp.lv Y1) (tptp.iext P X Y1) (tptp.icext D Y1) (tptp.lv Y2) (tptp.iext P X Y2) (tptp.icext D Y2) (tptp.lv Y3) (tptp.iext P X Y3) (tptp.icext D Y3) (tptp.lv Y4) (tptp.iext P X Y4) (tptp.icext D Y4)) (or (= Y4 Y1) (= Y4 Y2) (= Y4 Y3)))))))))) (forall ((Z $$unsorted) (P $$unsorted) (C $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_qualifiedCardinality Z (tptp.literal_typed tptp.dat_str_0 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P) (tptp.iext tptp.uri_owl_onClass Z C)) (forall ((X $$unsorted)) (= (tptp.icext Z X) (not (exists ((Y $$unsorted)) (and (tptp.iext P X Y) (tptp.icext C Y)))))))) (forall ((Z $$unsorted) (P $$unsorted) (C $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_qualifiedCardinality Z (tptp.literal_typed tptp.dat_str_1 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P) (tptp.iext tptp.uri_owl_onClass Z C)) (forall ((X $$unsorted)) (= (tptp.icext Z X) (and (exists ((Y $$unsorted)) (and (tptp.iext P X Y) (tptp.icext C Y))) (forall ((Y1 $$unsorted) (Y2 $$unsorted)) (=> (and (tptp.iext P X Y1) (tptp.icext C Y1) (tptp.iext P X Y2) (tptp.icext C Y2)) (= Y2 Y1)))))))) (forall ((Z $$unsorted) (P $$unsorted) (C $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_qualifiedCardinality Z (tptp.literal_typed tptp.dat_str_2 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P) (tptp.iext tptp.uri_owl_onClass Z C)) (forall ((X $$unsorted)) (= (tptp.icext Z X) (and (exists ((Y1 $$unsorted) (Y2 $$unsorted)) (and (tptp.iext P X Y1) (tptp.icext C Y1) (tptp.iext P X Y2) (tptp.icext C Y2) (not (= Y1 Y2)))) (forall ((Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted)) (=> (and (tptp.iext P X Y1) (tptp.icext C Y1) (tptp.iext P X Y2) (tptp.icext C Y2) (tptp.iext P X Y3) (tptp.icext C Y3)) (or (= Y3 Y1) (= Y3 Y2))))))))) (forall ((Z $$unsorted) (P $$unsorted) (C $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_qualifiedCardinality Z (tptp.literal_typed tptp.dat_str_3 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P) (tptp.iext tptp.uri_owl_onClass Z C)) (forall ((X $$unsorted)) (= (tptp.icext Z X) (and (exists ((Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted)) (and (tptp.iext P X Y1) (tptp.icext C Y1) (tptp.iext P X Y2) (tptp.icext C Y2) (tptp.iext P X Y3) (tptp.icext C Y3) (not (= Y1 Y2)) (not (= Y1 Y3)) (not (= Y2 Y3)))) (forall ((Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted) (Y4 $$unsorted)) (=> (and (tptp.iext P X Y1) (tptp.icext C Y1) (tptp.iext P X Y2) (tptp.icext C Y2) (tptp.iext P X Y3) (tptp.icext C Y3) (tptp.iext P X Y4) (tptp.icext C Y4)) (or (= Y4 Y1) (= Y4 Y2) (= Y4 Y3))))))))) (forall ((Z $$unsorted) (P $$unsorted) (V $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_hasSelf Z V) (tptp.iext tptp.uri_owl_onProperty Z P)) (forall ((X $$unsorted)) (= (tptp.icext Z X) (tptp.iext P X X))))) (forall ((Z $$unsorted) (P $$unsorted) (A $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_hasValue Z A) (tptp.iext tptp.uri_owl_onProperty Z P)) (forall ((X $$unsorted)) (= (tptp.icext Z X) (tptp.iext P X A))))) (forall ((Z $$unsorted) (P $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_maxCardinality Z (tptp.literal_typed tptp.dat_str_0 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P)) (forall ((X $$unsorted)) (= (tptp.icext Z X) (not (exists ((Y $$unsorted)) (tptp.iext P X Y))))))) (forall ((Z $$unsorted) (P $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_maxCardinality Z (tptp.literal_typed tptp.dat_str_1 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P)) (forall ((X $$unsorted)) (= (tptp.icext Z X) (forall ((Y1 $$unsorted) (Y2 $$unsorted)) (=> (and (tptp.iext P X Y1) (tptp.iext P X Y2)) (= Y2 Y1))))))) (forall ((Z $$unsorted) (P $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_maxCardinality Z (tptp.literal_typed tptp.dat_str_2 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P)) (forall ((X $$unsorted)) (= (tptp.icext Z X) (forall ((Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted)) (=> (and (tptp.iext P X Y1) (tptp.iext P X Y2) (tptp.iext P X Y3)) (or (= Y3 Y1) (= Y3 Y2)))))))) (forall ((Z $$unsorted) (P $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_maxCardinality Z (tptp.literal_typed tptp.dat_str_3 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P)) (forall ((X $$unsorted)) (= (tptp.icext Z X) (forall ((Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted) (Y4 $$unsorted)) (=> (and (tptp.iext P X Y1) (tptp.iext P X Y2) (tptp.iext P X Y3) (tptp.iext P X Y4)) (or (= Y4 Y1) (= Y4 Y2) (= Y4 Y3)))))))) (forall ((Z $$unsorted) (P $$unsorted) (D $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_maxQualifiedCardinality Z (tptp.literal_typed tptp.dat_str_0 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P) (tptp.iext tptp.uri_owl_onDataRange Z D)) (and (tptp.iodp P) (forall ((X $$unsorted)) (= (tptp.icext Z X) (not (exists ((Y $$unsorted)) (and (tptp.lv Y) (tptp.iext P X Y) (tptp.icext D Y))))))))) (forall ((Z $$unsorted) (P $$unsorted) (D $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_maxQualifiedCardinality Z (tptp.literal_typed tptp.dat_str_1 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P) (tptp.iext tptp.uri_owl_onDataRange Z D)) (and (tptp.iodp P) (forall ((X $$unsorted)) (= (tptp.icext Z X) (forall ((Y1 $$unsorted) (Y2 $$unsorted)) (=> (and (tptp.lv Y1) (tptp.iext P X Y1) (tptp.icext D Y1) (tptp.lv Y2) (tptp.iext P X Y2) (tptp.icext D Y2)) (= Y2 Y1)))))))) (forall ((Z $$unsorted) (P $$unsorted) (D $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_maxQualifiedCardinality Z (tptp.literal_typed tptp.dat_str_2 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P) (tptp.iext tptp.uri_owl_onDataRange Z D)) (and (tptp.iodp P) (forall ((X $$unsorted)) (= (tptp.icext Z X) (forall ((Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted)) (=> (and (tptp.lv Y1) (tptp.iext P X Y1) (tptp.icext D Y1) (tptp.lv Y2) (tptp.iext P X Y2) (tptp.icext D Y2) (tptp.lv Y3) (tptp.iext P X Y3) (tptp.icext D Y3)) (or (= Y3 Y1) (= Y3 Y2))))))))) (forall ((Z $$unsorted) (P $$unsorted) (D $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_maxQualifiedCardinality Z (tptp.literal_typed tptp.dat_str_3 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P) (tptp.iext tptp.uri_owl_onDataRange Z D)) (and (tptp.iodp P) (forall ((X $$unsorted)) (= (tptp.icext Z X) (forall ((Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted) (Y4 $$unsorted)) (=> (and (tptp.lv Y1) (tptp.iext P X Y1) (tptp.icext D Y1) (tptp.lv Y2) (tptp.iext P X Y2) (tptp.icext D Y2) (tptp.lv Y3) (tptp.iext P X Y3) (tptp.icext D Y3) (tptp.lv Y4) (tptp.iext P X Y4) (tptp.icext D Y4)) (or (= Y4 Y1) (= Y4 Y2) (= Y4 Y3))))))))) (forall ((Z $$unsorted) (P $$unsorted) (C $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_maxQualifiedCardinality Z (tptp.literal_typed tptp.dat_str_0 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P) (tptp.iext tptp.uri_owl_onClass Z C)) (forall ((X $$unsorted)) (= (tptp.icext Z X) (not (exists ((Y $$unsorted)) (and (tptp.iext P X Y) (tptp.icext C Y)))))))) (forall ((Z $$unsorted) (P $$unsorted) (C $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_maxQualifiedCardinality Z (tptp.literal_typed tptp.dat_str_1 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P) (tptp.iext tptp.uri_owl_onClass Z C)) (forall ((X $$unsorted)) (= (tptp.icext Z X) (forall ((Y1 $$unsorted) (Y2 $$unsorted)) (=> (and (tptp.iext P X Y1) (tptp.icext C Y1) (tptp.iext P X Y2) (tptp.icext C Y2)) (= Y2 Y1))))))) (forall ((Z $$unsorted) (P $$unsorted) (C $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_maxQualifiedCardinality Z (tptp.literal_typed tptp.dat_str_2 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P) (tptp.iext tptp.uri_owl_onClass Z C)) (forall ((X $$unsorted)) (= (tptp.icext Z X) (forall ((Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted)) (=> (and (tptp.iext P X Y1) (tptp.icext C Y1) (tptp.iext P X Y2) (tptp.icext C Y2) (tptp.iext P X Y3) (tptp.icext C Y3)) (or (= Y3 Y1) (= Y3 Y2)))))))) (forall ((Z $$unsorted) (P $$unsorted) (C $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_maxQualifiedCardinality Z (tptp.literal_typed tptp.dat_str_3 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P) (tptp.iext tptp.uri_owl_onClass Z C)) (forall ((X $$unsorted)) (= (tptp.icext Z X) (forall ((Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted) (Y4 $$unsorted)) (=> (and (tptp.iext P X Y1) (tptp.icext C Y1) (tptp.iext P X Y2) (tptp.icext C Y2) (tptp.iext P X Y3) (tptp.icext C Y3) (tptp.iext P X Y4) (tptp.icext C Y4)) (or (= Y4 Y1) (= Y4 Y2) (= Y4 Y3)))))))) (forall ((Z $$unsorted) (P $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_minCardinality Z (tptp.literal_typed tptp.dat_str_0 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P)) (forall ((X $$unsorted)) (tptp.icext Z X)))) (forall ((Z $$unsorted) (P $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_minCardinality Z (tptp.literal_typed tptp.dat_str_1 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P)) (forall ((X $$unsorted)) (= (tptp.icext Z X) (exists ((Y $$unsorted)) (tptp.iext P X Y)))))) (forall ((Z $$unsorted) (P $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_minCardinality Z (tptp.literal_typed tptp.dat_str_2 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P)) (forall ((X $$unsorted)) (= (tptp.icext Z X) (exists ((Y1 $$unsorted) (Y2 $$unsorted)) (and (tptp.iext P X Y1) (tptp.iext P X Y2) (not (= Y1 Y2)))))))) (forall ((Z $$unsorted) (P $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_minCardinality Z (tptp.literal_typed tptp.dat_str_3 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P)) (forall ((X $$unsorted)) (= (tptp.icext Z X) (exists ((Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted)) (and (tptp.iext P X Y1) (tptp.iext P X Y2) (tptp.iext P X Y3) (not (= Y1 Y2)) (not (= Y1 Y3)) (not (= Y2 Y3)))))))) (forall ((Z $$unsorted) (P $$unsorted) (D $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_minQualifiedCardinality Z (tptp.literal_typed tptp.dat_str_0 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P) (tptp.iext tptp.uri_owl_onDataRange Z D)) (and (tptp.iodp P) (forall ((X $$unsorted)) (tptp.icext Z X))))) (forall ((Z $$unsorted) (P $$unsorted) (D $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_minQualifiedCardinality Z (tptp.literal_typed tptp.dat_str_1 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P) (tptp.iext tptp.uri_owl_onDataRange Z D)) (and (tptp.iodp P) (forall ((X $$unsorted)) (= (tptp.icext Z X) (exists ((Y $$unsorted)) (and (tptp.lv Y) (tptp.iext P X Y) (tptp.icext D Y)))))))) (forall ((Z $$unsorted) (P $$unsorted) (D $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_minQualifiedCardinality Z (tptp.literal_typed tptp.dat_str_2 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P) (tptp.iext tptp.uri_owl_onDataRange Z D)) (and (tptp.iodp P) (forall ((X $$unsorted)) (= (tptp.icext Z X) (exists ((Y1 $$unsorted) (Y2 $$unsorted)) (and (tptp.lv Y1) (tptp.iext P X Y1) (tptp.icext D Y1) (tptp.lv Y2) (tptp.iext P X Y2) (tptp.icext D Y2) (not (= Y1 Y2))))))))) (forall ((Z $$unsorted) (P $$unsorted) (D $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_minQualifiedCardinality Z (tptp.literal_typed tptp.dat_str_3 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P) (tptp.iext tptp.uri_owl_onDataRange Z D)) (and (tptp.iodp P) (forall ((X $$unsorted)) (= (tptp.icext Z X) (exists ((Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted)) (and (tptp.lv Y1) (tptp.iext P X Y1) (tptp.icext D Y1) (tptp.lv Y2) (tptp.iext P X Y2) (tptp.icext D Y2) (tptp.lv Y3) (tptp.iext P X Y3) (tptp.icext D Y3) (not (= Y1 Y2)) (not (= Y1 Y3)) (not (= Y2 Y3))))))))) (forall ((Z $$unsorted) (P $$unsorted) (C $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_minQualifiedCardinality Z (tptp.literal_typed tptp.dat_str_0 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P) (tptp.iext tptp.uri_owl_onClass Z C)) (forall ((X $$unsorted)) (tptp.icext Z X)))) _let_10 (forall ((Z $$unsorted) (P $$unsorted) (C $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_minQualifiedCardinality Z (tptp.literal_typed tptp.dat_str_2 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P) (tptp.iext tptp.uri_owl_onClass Z C)) (forall ((X $$unsorted)) (= (tptp.icext Z X) (exists ((Y1 $$unsorted) (Y2 $$unsorted)) (and (tptp.iext P X Y1) (tptp.icext C Y1) (tptp.iext P X Y2) (tptp.icext C Y2) (not (= Y1 Y2)))))))) (forall ((Z $$unsorted) (P $$unsorted) (C $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_minQualifiedCardinality Z (tptp.literal_typed tptp.dat_str_3 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P) (tptp.iext tptp.uri_owl_onClass Z C)) (forall ((X $$unsorted)) (= (tptp.icext Z X) (exists ((Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted)) (and (tptp.iext P X Y1) (tptp.icext C Y1) (tptp.iext P X Y2) (tptp.icext C Y2) (tptp.iext P X Y3) (tptp.icext C Y3) (not (= Y1 Y2)) (not (= Y1 Y3)) (not (= Y2 Y3)))))))) (forall ((Z $$unsorted) (P $$unsorted) (C $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_someValuesFrom Z C) (tptp.iext tptp.uri_owl_onProperty Z P)) (forall ((X $$unsorted)) (= (tptp.icext Z X) (exists ((Y $$unsorted)) (and (tptp.iext P X Y) (tptp.icext C Y))))))) (forall ((P $$unsorted) (C $$unsorted)) (= (tptp.iext tptp.uri_rdfs_domain P C) (and (tptp.ip P) (tptp.ic C) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext P X Y) (tptp.icext C X)))))) (forall ((P $$unsorted) (C $$unsorted)) (= (tptp.iext tptp.uri_rdfs_range P C) (and (tptp.ip P) (tptp.ip C) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext P X Y) (tptp.icext C Y)))))) (forall ((C1 $$unsorted) (C2 $$unsorted)) (= (tptp.iext tptp.uri_rdfs_subClassOf C1 C2) (and (tptp.ic C1) (tptp.ic C2) (forall ((X $$unsorted)) (=> (tptp.icext C1 X) (tptp.icext C2 X)))))) (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_rdfs_subPropertyOf P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext P1 X Y) (tptp.iext P2 X Y)))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext tptp.uri_owl_differentFrom X Y) (not (= X Y)))) (forall ((C $$unsorted)) (= (tptp.iext tptp.uri_owl_disjointUnionOf C tptp.uri_rdf_nil) (and (tptp.ic C) (forall ((X $$unsorted)) (not (tptp.icext C X)))))) (forall ((C $$unsorted) (S1 $$unsorted) (C1 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 C1) (tptp.iext tptp.uri_rdf_rest S1 tptp.uri_rdf_nil)) (= (tptp.iext tptp.uri_owl_disjointUnionOf C S1) (and (tptp.ic C) (tptp.ic C1) (forall ((X $$unsorted)) (= (tptp.icext C X) (tptp.icext C1 X))))))) (forall ((C $$unsorted) (S1 $$unsorted) (C1 $$unsorted) (S2 $$unsorted) (C2 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 C1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 C2) (tptp.iext tptp.uri_rdf_rest S2 tptp.uri_rdf_nil)) (= (tptp.iext tptp.uri_owl_disjointUnionOf C S1) (and (tptp.ic C) (tptp.ic C1) (tptp.ic C2) (forall ((X $$unsorted)) (let ((_let_1 (tptp.icext C2 X))) (let ((_let_2 (tptp.icext C1 X))) (= (tptp.icext C X) (and (or _let_2 _let_1) (not (and _let_2 _let_1))))))))))) (forall ((C $$unsorted) (S1 $$unsorted) (C1 $$unsorted) (S2 $$unsorted) (C2 $$unsorted) (S3 $$unsorted) (C3 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 C1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 C2) (tptp.iext tptp.uri_rdf_rest S2 S3) (tptp.iext tptp.uri_rdf_first S3 C3) (tptp.iext tptp.uri_rdf_rest S3 tptp.uri_rdf_nil)) (= (tptp.iext tptp.uri_owl_disjointUnionOf C S1) (and (tptp.ic C) (tptp.ic C1) (tptp.ic C2) (tptp.ic C3) (forall ((X $$unsorted)) (let ((_let_1 (tptp.icext C3 X))) (let ((_let_2 (tptp.icext C2 X))) (let ((_let_3 (tptp.icext C1 X))) (= (tptp.icext C X) (and (or _let_3 _let_2 _let_1) (not (and _let_3 _let_2)) (not (and _let_3 _let_1)) (not (and _let_2 _let_1)))))))))))) (forall ((C1 $$unsorted) (C2 $$unsorted)) (= (tptp.iext tptp.uri_owl_disjointWith C1 C2) (and (tptp.ic C1) (tptp.ic C2) (forall ((X $$unsorted)) (not (and (tptp.icext C1 X) (tptp.icext C2 X))))))) (forall ((C1 $$unsorted) (C2 $$unsorted)) (= (tptp.iext tptp.uri_owl_equivalentClass C1 C2) (and (tptp.ic C1) (tptp.ic C2) (forall ((X $$unsorted)) (= (tptp.icext C1 X) (tptp.icext C2 X)))))) (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_owl_equivalentProperty P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext P1 X Y) (tptp.iext P2 X Y)))))) (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_owl_propertyDisjointWith P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (not (and (tptp.iext P1 X Y) (tptp.iext P2 X Y))))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext tptp.uri_owl_sameAs X Y) (= X Y))) (exists ((Z $$unsorted)) (and (tptp.icext tptp.uri_owl_AllDifferent Z) (tptp.iext tptp.uri_owl_distinctMembers Z tptp.uri_rdf_nil))) (forall ((S1 $$unsorted) (A1 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 A1) (tptp.iext tptp.uri_rdf_rest S1 tptp.uri_rdf_nil)) (exists ((Z $$unsorted)) (and (tptp.icext tptp.uri_owl_AllDifferent Z) (tptp.iext tptp.uri_owl_distinctMembers Z S1))))) (forall ((S1 $$unsorted) (A1 $$unsorted) (S2 $$unsorted) (A2 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 A1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 A2) (tptp.iext tptp.uri_rdf_rest S2 tptp.uri_rdf_nil) (not (= A1 A2))) (exists ((Z $$unsorted)) (and (tptp.icext tptp.uri_owl_AllDifferent Z) (tptp.iext tptp.uri_owl_distinctMembers Z S1))))) (forall ((S1 $$unsorted) (A1 $$unsorted) (S2 $$unsorted) (A2 $$unsorted) (S3 $$unsorted) (A3 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 A1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 A2) (tptp.iext tptp.uri_rdf_rest S2 S3) (tptp.iext tptp.uri_rdf_first S3 A3) (tptp.iext tptp.uri_rdf_rest S3 tptp.uri_rdf_nil) (not (= A1 A2)) (not (= A1 A3)) (not (= A2 A3))) (exists ((Z $$unsorted)) (and (tptp.icext tptp.uri_owl_AllDifferent Z) (tptp.iext tptp.uri_owl_distinctMembers Z S1))))) _let_9 _let_9 (forall ((Z $$unsorted) (S1 $$unsorted) (A1 $$unsorted) (S2 $$unsorted) (A2 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 A1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 A2) (tptp.iext tptp.uri_rdf_rest S2 tptp.uri_rdf_nil) (tptp.icext tptp.uri_owl_AllDifferent Z) (tptp.iext tptp.uri_owl_distinctMembers Z S1)) (not (= A1 A2)))) (forall ((Z $$unsorted) (S1 $$unsorted) (A1 $$unsorted) (S2 $$unsorted) (A2 $$unsorted) (S3 $$unsorted) (A3 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 A1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 A2) (tptp.iext tptp.uri_rdf_rest S2 S3) (tptp.iext tptp.uri_rdf_first S3 A3) (tptp.iext tptp.uri_rdf_rest S3 tptp.uri_rdf_nil) (tptp.icext tptp.uri_owl_AllDifferent Z) (tptp.iext tptp.uri_owl_distinctMembers Z S1)) (and (not (= A1 A2)) (not (= A1 A3)) (not (= A2 A3))))) (exists ((Z $$unsorted)) (and (tptp.icext tptp.uri_owl_AllDifferent Z) (tptp.iext tptp.uri_owl_members Z tptp.uri_rdf_nil))) (forall ((S1 $$unsorted) (A1 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 A1) (tptp.iext tptp.uri_rdf_rest S1 tptp.uri_rdf_nil)) (exists ((Z $$unsorted)) (and (tptp.icext tptp.uri_owl_AllDifferent Z) (tptp.iext tptp.uri_owl_members Z S1))))) (forall ((S1 $$unsorted) (A1 $$unsorted) (S2 $$unsorted) (A2 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 A1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 A2) (tptp.iext tptp.uri_rdf_rest S2 tptp.uri_rdf_nil) (not (= A1 A2))) (exists ((Z $$unsorted)) (and (tptp.icext tptp.uri_owl_AllDifferent Z) (tptp.iext tptp.uri_owl_members Z S1))))) (forall ((S1 $$unsorted) (A1 $$unsorted) (S2 $$unsorted) (A2 $$unsorted) (S3 $$unsorted) (A3 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 A1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 A2) (tptp.iext tptp.uri_rdf_rest S2 S3) (tptp.iext tptp.uri_rdf_first S3 A3) (tptp.iext tptp.uri_rdf_rest S3 tptp.uri_rdf_nil) (not (= A1 A2)) (not (= A1 A3)) (not (= A2 A3))) (exists ((Z $$unsorted)) (and (tptp.icext tptp.uri_owl_AllDifferent Z) (tptp.iext tptp.uri_owl_members Z S1))))) _let_9 _let_9 (forall ((Z $$unsorted) (S1 $$unsorted) (A1 $$unsorted) (S2 $$unsorted) (A2 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 A1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 A2) (tptp.iext tptp.uri_rdf_rest S2 tptp.uri_rdf_nil) (tptp.icext tptp.uri_owl_AllDifferent Z) (tptp.iext tptp.uri_owl_members Z S1)) (not (= A1 A2)))) (forall ((Z $$unsorted) (S1 $$unsorted) (A1 $$unsorted) (S2 $$unsorted) (A2 $$unsorted) (S3 $$unsorted) (A3 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 A1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 A2) (tptp.iext tptp.uri_rdf_rest S2 S3) (tptp.iext tptp.uri_rdf_first S3 A3) (tptp.iext tptp.uri_rdf_rest S3 tptp.uri_rdf_nil) (tptp.icext tptp.uri_owl_AllDifferent Z) (tptp.iext tptp.uri_owl_members Z S1)) (and (not (= A1 A2)) (not (= A1 A3)) (not (= A2 A3))))) (exists ((Z $$unsorted)) (and (tptp.icext tptp.uri_owl_AllDisjointClasses Z) (tptp.iext tptp.uri_owl_members Z tptp.uri_rdf_nil))) (forall ((S1 $$unsorted) (C1 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 C1) (tptp.iext tptp.uri_rdf_rest S1 tptp.uri_rdf_nil)) (exists ((Z $$unsorted)) (and (tptp.icext tptp.uri_owl_AllDisjointClasses Z) (tptp.iext tptp.uri_owl_members Z S1))))) (forall ((S1 $$unsorted) (C1 $$unsorted) (S2 $$unsorted) (C2 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 C1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 C2) (tptp.iext tptp.uri_rdf_rest S2 tptp.uri_rdf_nil) (forall ((X $$unsorted)) (not (and (tptp.icext C1 X) (tptp.icext C2 X))))) (exists ((Z $$unsorted)) (and (tptp.icext tptp.uri_owl_AllDisjointClasses Z) (tptp.iext tptp.uri_owl_members Z S1))))) (forall ((S1 $$unsorted) (C1 $$unsorted) (S2 $$unsorted) (C2 $$unsorted) (S3 $$unsorted) (C3 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 C1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 C2) (tptp.iext tptp.uri_rdf_rest S2 S3) (tptp.iext tptp.uri_rdf_first S3 C3) (tptp.iext tptp.uri_rdf_rest S3 tptp.uri_rdf_nil) (forall ((X $$unsorted)) (not (and (tptp.icext C1 X) (tptp.icext C2 X)))) (forall ((X $$unsorted)) (not (and (tptp.icext C1 X) (tptp.icext C3 X)))) (forall ((X $$unsorted)) (not (and (tptp.icext C2 X) (tptp.icext C3 X))))) (exists ((Z $$unsorted)) (and (tptp.icext tptp.uri_owl_AllDisjointClasses Z) (tptp.iext tptp.uri_owl_members Z S1))))) _let_9 _let_9 (forall ((Z $$unsorted) (S1 $$unsorted) (C1 $$unsorted) (S2 $$unsorted) (C2 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 C1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 C2) (tptp.iext tptp.uri_rdf_rest S2 tptp.uri_rdf_nil) (tptp.icext tptp.uri_owl_AllDisjointClasses Z) (tptp.iext tptp.uri_owl_members Z S1)) (forall ((X $$unsorted)) (not (and (tptp.icext C1 X) (tptp.icext C2 X)))))) (forall ((Z $$unsorted) (S1 $$unsorted) (C1 $$unsorted) (S2 $$unsorted) (C2 $$unsorted) (S3 $$unsorted) (C3 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 C1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 C2) (tptp.iext tptp.uri_rdf_rest S2 S3) (tptp.iext tptp.uri_rdf_first S3 C3) (tptp.iext tptp.uri_rdf_rest S3 tptp.uri_rdf_nil) (tptp.icext tptp.uri_owl_AllDisjointClasses Z) (tptp.iext tptp.uri_owl_members Z S1)) (and (forall ((X $$unsorted)) (not (and (tptp.icext C1 X) (tptp.icext C2 X)))) (forall ((X $$unsorted)) (not (and (tptp.icext C1 X) (tptp.icext C3 X)))) (forall ((X $$unsorted)) (not (and (tptp.icext C2 X) (tptp.icext C3 X))))))) (exists ((Z $$unsorted)) (and (tptp.icext tptp.uri_owl_AllDisjointProperties Z) (tptp.iext tptp.uri_owl_members Z tptp.uri_rdf_nil))) (forall ((S1 $$unsorted) (P1 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 P1) (tptp.iext tptp.uri_rdf_rest S1 tptp.uri_rdf_nil)) (exists ((Z $$unsorted)) (and (tptp.icext tptp.uri_owl_AllDisjointProperties Z) (tptp.iext tptp.uri_owl_members Z S1))))) (forall ((S1 $$unsorted) (P1 $$unsorted) (S2 $$unsorted) (P2 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 P1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 P2) (tptp.iext tptp.uri_rdf_rest S2 tptp.uri_rdf_nil) (forall ((X $$unsorted) (Y $$unsorted)) (not (and (tptp.iext P1 X Y) (tptp.iext P2 X Y))))) (exists ((Z $$unsorted)) (and (tptp.icext tptp.uri_owl_AllDisjointProperties Z) (tptp.iext tptp.uri_owl_members Z S1))))) (forall ((S1 $$unsorted) (P1 $$unsorted) (S2 $$unsorted) (P2 $$unsorted) (S3 $$unsorted) (P3 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 P1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 P2) (tptp.iext tptp.uri_rdf_rest S2 S3) (tptp.iext tptp.uri_rdf_first S3 P3) (tptp.iext tptp.uri_rdf_rest S3 tptp.uri_rdf_nil) (forall ((X $$unsorted) (Y $$unsorted)) (not (and (tptp.iext P1 X Y) (tptp.iext P2 X Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (and (tptp.iext P1 X Y) (tptp.iext P3 X Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (and (tptp.iext P2 X Y) (tptp.iext P3 X Y))))) (exists ((Z $$unsorted)) (and (tptp.icext tptp.uri_owl_AllDisjointProperties Z) (tptp.iext tptp.uri_owl_members Z S1))))) _let_9 _let_9 (forall ((Z $$unsorted) (S1 $$unsorted) (P1 $$unsorted) (S2 $$unsorted) (P2 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 P1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 P2) (tptp.iext tptp.uri_rdf_rest S2 tptp.uri_rdf_nil) (tptp.icext tptp.uri_owl_AllDisjointProperties Z) (tptp.iext tptp.uri_owl_members Z S1)) (forall ((X $$unsorted) (Y $$unsorted)) (not (and (tptp.iext P1 X Y) (tptp.iext P2 X Y)))))) (forall ((Z $$unsorted) (S1 $$unsorted) (P1 $$unsorted) (S2 $$unsorted) (P2 $$unsorted) (S3 $$unsorted) (P3 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 P1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 P2) (tptp.iext tptp.uri_rdf_rest S2 S3) (tptp.iext tptp.uri_rdf_first S3 P3) (tptp.iext tptp.uri_rdf_rest S3 tptp.uri_rdf_nil) (tptp.icext tptp.uri_owl_AllDisjointProperties Z) (tptp.iext tptp.uri_owl_members Z S1)) (and (forall ((X $$unsorted) (Y $$unsorted)) (not (and (tptp.iext P1 X Y) (tptp.iext P2 X Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (and (tptp.iext P1 X Y) (tptp.iext P3 X Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (and (tptp.iext P2 X Y) (tptp.iext P3 X Y))))))) (forall ((P $$unsorted)) (= (tptp.iext tptp.uri_owl_propertyChainAxiom P tptp.uri_rdf_nil) (and (tptp.ip P) (forall ((Y0 $$unsorted)) (tptp.iext P Y0 Y0))))) (forall ((P $$unsorted) (S1 $$unsorted) (P1 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 P1) (tptp.iext tptp.uri_rdf_rest S1 tptp.uri_rdf_nil)) (= (tptp.iext tptp.uri_owl_propertyChainAxiom P S1) (and (tptp.ip P) (tptp.ip P1) (forall ((Y0 $$unsorted) (Y1 $$unsorted)) (=> (tptp.iext P1 Y0 Y1) (tptp.iext P Y0 Y1))))))) (forall ((P $$unsorted) (S1 $$unsorted) (P1 $$unsorted) (S2 $$unsorted) (P2 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 P1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 P2) (tptp.iext tptp.uri_rdf_rest S2 tptp.uri_rdf_nil)) (= (tptp.iext tptp.uri_owl_propertyChainAxiom P S1) (and (tptp.ip P) (tptp.ip P1) (tptp.ip P2) (forall ((Y0 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (=> (and (tptp.iext P1 Y0 Y1) (tptp.iext P2 Y1 Y2)) (tptp.iext P Y0 Y2))))))) (forall ((P $$unsorted) (S1 $$unsorted) (P1 $$unsorted) (S2 $$unsorted) (P2 $$unsorted) (S3 $$unsorted) (P3 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 P1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 P2) (tptp.iext tptp.uri_rdf_rest S2 S3) (tptp.iext tptp.uri_rdf_first S3 P3) (tptp.iext tptp.uri_rdf_rest S3 tptp.uri_rdf_nil)) (= (tptp.iext tptp.uri_owl_propertyChainAxiom P S1) (and (tptp.ip P) (tptp.ip P1) (tptp.ip P2) (tptp.ip P3) (forall ((Y0 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted)) (=> (and (tptp.iext P1 Y0 Y1) (tptp.iext P2 Y1 Y2) (tptp.iext P3 Y2 Y3)) (tptp.iext P Y0 Y3))))))) (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_owl_inverseOf P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext P1 X Y) (tptp.iext P2 Y X)))))) (forall ((P $$unsorted)) (= (tptp.icext tptp.uri_owl_AsymmetricProperty P) (and (tptp.ip P) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext P X Y) (not (tptp.iext P Y X))))))) (forall ((P $$unsorted)) (= (tptp.icext tptp.uri_owl_FunctionalProperty P) (and (tptp.ip P) (forall ((X $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (=> (and (tptp.iext P X Y1) (tptp.iext P X Y2)) (= Y1 Y2)))))) (forall ((P $$unsorted)) (= (tptp.icext tptp.uri_owl_InverseFunctionalProperty P) (and (tptp.ip P) (forall ((X1 $$unsorted) (X2 $$unsorted) (Y $$unsorted)) (=> (and (tptp.iext P X1 Y) (tptp.iext P X2 Y)) (= X1 X2)))))) (forall ((P $$unsorted)) (= (tptp.icext tptp.uri_owl_IrreflexiveReflexiveProperty P) (and (tptp.ip P) (forall ((X $$unsorted)) (not (tptp.iext P X X)))))) (forall ((P $$unsorted)) (= (tptp.icext tptp.uri_owl_ReflexiveProperty P) (and (tptp.ip P) (forall ((X $$unsorted)) (tptp.iext P X X))))) (forall ((P $$unsorted)) (= (tptp.icext tptp.uri_owl_SymmetricProperty P) (and (tptp.ip P) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext P X Y) (tptp.iext P Y X)))))) (forall ((P $$unsorted)) (= (tptp.icext tptp.uri_owl_TransitiveProperty P) (and (tptp.ip P) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.iext P X Y) (tptp.iext P Y Z)) (tptp.iext P X Z)))))) (forall ((C $$unsorted)) (= (tptp.iext tptp.uri_owl_hasKey C tptp.uri_rdf_nil) (and (tptp.ic C) (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.icext C X) (tptp.icext C Y)) (= X Y)))))) (forall ((C $$unsorted) (S1 $$unsorted) (P1 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 P1) (tptp.iext tptp.uri_rdf_rest S1 tptp.uri_rdf_nil)) (= (tptp.iext tptp.uri_owl_hasKey C S1) (and (tptp.ic C) (tptp.ip P1) (forall ((X $$unsorted) (Y $$unsorted) (Z1 $$unsorted)) (=> (and (tptp.icext C X) (tptp.icext C Y) (tptp.iext P1 X Z1) (tptp.iext P1 Y Z1)) (= X Y))))))) (forall ((C $$unsorted) (S1 $$unsorted) (P1 $$unsorted) (S2 $$unsorted) (P2 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 P1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 P2) (tptp.iext tptp.uri_rdf_rest S2 tptp.uri_rdf_nil)) (= (tptp.iext tptp.uri_owl_hasKey C S1) (and (tptp.ic C) (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted)) (=> (and (tptp.icext C X) (tptp.icext C Y) (tptp.iext P1 X Z1) (tptp.iext P1 Y Z1) (tptp.iext P2 X Z2) (tptp.iext P2 Y Z2)) (= X Y))))))) (forall ((C $$unsorted) (S1 $$unsorted) (P1 $$unsorted) (S2 $$unsorted) (P2 $$unsorted) (S3 $$unsorted) (P3 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdf_first S1 P1) (tptp.iext tptp.uri_rdf_rest S1 S2) (tptp.iext tptp.uri_rdf_first S2 P2) (tptp.iext tptp.uri_rdf_rest S2 S3) (tptp.iext tptp.uri_rdf_first S3 P3) (tptp.iext tptp.uri_rdf_rest S3 tptp.uri_rdf_nil)) (= (tptp.iext tptp.uri_owl_hasKey C S1) (and (tptp.ic C) (tptp.ip P1) (tptp.ip P2) (tptp.ip P3) (forall ((X $$unsorted) (Y $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted) (Z3 $$unsorted)) (=> (and (tptp.icext C X) (tptp.icext C Y) (tptp.iext P1 X Z1) (tptp.iext P1 Y Z1) (tptp.iext P2 X Z2) (tptp.iext P2 Y Z2) (tptp.iext P3 X Z3) (tptp.iext P3 Y Z3)) (= X Y))))))) (forall ((P $$unsorted) (A $$unsorted) (V $$unsorted)) (=> (and (tptp.ir A) (tptp.iodp P) (tptp.lv V) (not (tptp.iext P A V))) (exists ((Z $$unsorted)) (and (tptp.iext tptp.uri_owl_sourceIndividual Z A) (tptp.iext tptp.uri_owl_assertionProperty Z P) (tptp.iext tptp.uri_owl_targetValue Z V))))) (forall ((Z $$unsorted) (P $$unsorted) (A $$unsorted) (V $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_sourceIndividual Z A) (tptp.iext tptp.uri_owl_assertionProperty Z P) (tptp.iext tptp.uri_owl_targetValue Z V)) (and (tptp.iodp P) (not (tptp.iext P A V))))) (forall ((P $$unsorted) (A1 $$unsorted) (A2 $$unsorted)) (=> (and (tptp.ir A1) (tptp.ip P) (tptp.ir A2) (not (tptp.iext P A1 A2))) (exists ((Z $$unsorted)) (and (tptp.iext tptp.uri_owl_sourceIndividual Z A1) (tptp.iext tptp.uri_owl_assertionProperty Z P) (tptp.iext tptp.uri_owl_targetIndividual Z A2))))) (forall ((Z $$unsorted) (P $$unsorted) (A1 $$unsorted) (A2 $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_sourceIndividual Z A1) (tptp.iext tptp.uri_owl_assertionProperty Z P) (tptp.iext tptp.uri_owl_targetIndividual Z A2)) (not (tptp.iext P A1 A2)))) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_anyURI X) (tptp.lv X))) (tptp.idc tptp.uri_xsd_anyURI) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_base64Binary X) (tptp.lv X))) (tptp.idc tptp.uri_xsd_base64Binary) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_boolean X) (tptp.lv X))) (tptp.idc tptp.uri_xsd_boolean) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_byte X) (tptp.lv X))) (tptp.idc tptp.uri_xsd_byte) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_dateTime X) (tptp.lv X))) (tptp.idc tptp.uri_xsd_dateTime) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_dateTimeStamp X) (tptp.lv X))) (tptp.idc tptp.uri_xsd_dateTimeStamp) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_decimal X) (tptp.lv X))) (tptp.idc tptp.uri_xsd_decimal) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_double X) (tptp.lv X))) (tptp.idc tptp.uri_xsd_double) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_float X) (tptp.lv X))) (tptp.idc tptp.uri_xsd_float) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_hexBinary X) (tptp.lv X))) (tptp.idc tptp.uri_xsd_hexBinary) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_int X) (tptp.lv X))) (tptp.idc tptp.uri_xsd_int) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_integer X) (tptp.lv X))) (tptp.idc tptp.uri_xsd_integer) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_language X) (tptp.lv X))) (tptp.idc tptp.uri_xsd_language) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_long X) (tptp.lv X))) (tptp.idc tptp.uri_xsd_long) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_Name X) (tptp.lv X))) (tptp.idc tptp.uri_xsd_Name) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_NCName X) (tptp.lv X))) (tptp.idc tptp.uri_xsd_NCName) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_negativeInteger X) (tptp.lv X))) (tptp.idc tptp.uri_xsd_negativeInteger) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_NMTOKEN X) (tptp.lv X))) (tptp.idc tptp.uri_xsd_NMTOKEN) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_nonNegativeInteger X) (tptp.lv X))) (tptp.idc tptp.uri_xsd_nonNegativeInteger) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_nonPositiveInteger X) (tptp.lv X))) (tptp.idc tptp.uri_xsd_nonPositiveInteger) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_normalizedString X) (tptp.lv X))) (tptp.idc tptp.uri_xsd_normalizedString) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_rdf_PlainLiteral X) (tptp.lv X))) (tptp.idc tptp.uri_rdf_PlainLiteral) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_positiveInteger X) (tptp.lv X))) (tptp.idc tptp.uri_xsd_positiveInteger) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_owl_rational X) (tptp.lv X))) (tptp.idc tptp.uri_owl_rational) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_owl_real X) (tptp.lv X))) (tptp.idc tptp.uri_owl_real) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_short X) (tptp.lv X))) (tptp.idc tptp.uri_xsd_short) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_string X) (tptp.lv X))) (tptp.idc tptp.uri_xsd_string) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_token X) (tptp.lv X))) (tptp.idc tptp.uri_xsd_token) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_unsignedByte X) (tptp.lv X))) (tptp.idc tptp.uri_xsd_unsignedByte) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_unsignedInt X) (tptp.lv X))) (tptp.idc tptp.uri_xsd_unsignedInt) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_unsignedLong X) (tptp.lv X))) (tptp.idc tptp.uri_xsd_unsignedLong) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_unsignedShort X) (tptp.lv X))) (tptp.idc tptp.uri_xsd_unsignedShort) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_rdf_XMLLiteral X) (tptp.lv X))) (tptp.idc tptp.uri_rdf_XMLLiteral) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_anyURI X) (tptp.icext tptp.uri_xsd_base64Binary X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_anyURI X) (tptp.icext tptp.uri_xsd_boolean X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_anyURI X) (tptp.icext tptp.uri_xsd_dateTime X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_anyURI X) (tptp.icext tptp.uri_xsd_double X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_anyURI X) (tptp.icext tptp.uri_xsd_float X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_anyURI X) (tptp.icext tptp.uri_xsd_hexBinary X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_anyURI X) (tptp.icext tptp.uri_rdf_PlainLiteral X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_anyURI X) (tptp.icext tptp.uri_owl_real X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_anyURI X) (tptp.icext tptp.uri_rdf_XMLLiteral X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_base64Binary X) (tptp.icext tptp.uri_xsd_boolean X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_base64Binary X) (tptp.icext tptp.uri_xsd_dateTime X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_base64Binary X) (tptp.icext tptp.uri_xsd_double X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_base64Binary X) (tptp.icext tptp.uri_xsd_float X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_base64Binary X) (tptp.icext tptp.uri_xsd_hexBinary X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_base64Binary X) (tptp.icext tptp.uri_rdf_PlainLiteral X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_base64Binary X) (tptp.icext tptp.uri_owl_real X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_base64Binary X) (tptp.icext tptp.uri_rdf_XMLLiteral X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_boolean X) (tptp.icext tptp.uri_xsd_dateTime X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_boolean X) (tptp.icext tptp.uri_xsd_double X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_boolean X) (tptp.icext tptp.uri_xsd_float X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_boolean X) (tptp.icext tptp.uri_xsd_hexBinary X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_boolean X) (tptp.icext tptp.uri_rdf_PlainLiteral X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_boolean X) (tptp.icext tptp.uri_owl_real X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_boolean X) (tptp.icext tptp.uri_rdf_XMLLiteral X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_dateTime X) (tptp.icext tptp.uri_xsd_double X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_dateTime X) (tptp.icext tptp.uri_xsd_float X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_dateTime X) (tptp.icext tptp.uri_xsd_hexBinary X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_dateTime X) (tptp.icext tptp.uri_rdf_PlainLiteral X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_dateTime X) (tptp.icext tptp.uri_owl_real X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_dateTime X) (tptp.icext tptp.uri_rdf_XMLLiteral X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_double X) (tptp.icext tptp.uri_xsd_float X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_double X) (tptp.icext tptp.uri_xsd_hexBinary X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_double X) (tptp.icext tptp.uri_rdf_PlainLiteral X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_double X) (tptp.icext tptp.uri_owl_real X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_double X) (tptp.icext tptp.uri_rdf_XMLLiteral X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_float X) (tptp.icext tptp.uri_xsd_hexBinary X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_float X) (tptp.icext tptp.uri_rdf_PlainLiteral X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_float X) (tptp.icext tptp.uri_owl_real X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_float X) (tptp.icext tptp.uri_rdf_XMLLiteral X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_hexBinary X) (tptp.icext tptp.uri_rdf_PlainLiteral X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_hexBinary X) (tptp.icext tptp.uri_owl_real X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_xsd_hexBinary X) (tptp.icext tptp.uri_rdf_XMLLiteral X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_rdf_PlainLiteral X) (tptp.icext tptp.uri_owl_real X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_rdf_PlainLiteral X) (tptp.icext tptp.uri_rdf_XMLLiteral X)))) (forall ((X $$unsorted)) (not (and (tptp.icext tptp.uri_owl_real X) (tptp.icext tptp.uri_rdf_XMLLiteral X)))) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_byte X) (tptp.icext tptp.uri_xsd_short X))) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_dateTimeStamp X) (tptp.icext tptp.uri_xsd_dateTime X))) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_decimal X) (tptp.icext tptp.uri_owl_rational X))) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_int X) (tptp.icext tptp.uri_xsd_long X))) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_integer X) (tptp.icext tptp.uri_xsd_decimal X))) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_language X) (tptp.icext tptp.uri_xsd_token X))) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_long X) (tptp.icext tptp.uri_xsd_integer X))) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_Name X) (tptp.icext tptp.uri_xsd_token X))) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_NCName X) (tptp.icext tptp.uri_xsd_Name X))) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_negativeInteger X) (tptp.icext tptp.uri_xsd_nonPositiveInteger X))) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_NMTOKEN X) (tptp.icext tptp.uri_xsd_token X))) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_nonNegativeInteger X) (tptp.icext tptp.uri_xsd_integer X))) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_nonPositiveInteger X) (tptp.icext tptp.uri_xsd_integer X))) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_normalizedString X) (tptp.icext tptp.uri_xsd_string X))) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_positiveInteger X) (tptp.icext tptp.uri_xsd_nonNegativeInteger X))) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_owl_rational X) (tptp.icext tptp.uri_owl_real X))) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_short X) (tptp.icext tptp.uri_xsd_int X))) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_string X) (tptp.icext tptp.uri_rdf_PlainLiteral X))) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_token X) (tptp.icext tptp.uri_xsd_normalizedString X))) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_unsignedByte X) (tptp.icext tptp.uri_xsd_unsignedShort X))) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_unsignedInt X) (tptp.icext tptp.uri_xsd_unsignedLong X))) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_unsignedLong X) (tptp.icext tptp.uri_xsd_nonNegativeInteger X))) (forall ((X $$unsorted)) (=> (tptp.icext tptp.uri_xsd_unsignedShort X) (tptp.icext tptp.uri_xsd_unsignedInt X))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_rdf_langRange X Y) (and (tptp.ir X) (tptp.lv Y)))) (tptp.iodp tptp.uri_rdf_langRange) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_xsd_length X Y) (and (tptp.ir X) (tptp.lv Y)))) (tptp.iodp tptp.uri_xsd_length) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_xsd_maxExclusive X Y) (and (tptp.ir X) (tptp.lv Y)))) (tptp.iodp tptp.uri_xsd_maxExclusive) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_xsd_maxInclusive X Y) (and (tptp.ir X) (tptp.lv Y)))) (tptp.iodp tptp.uri_xsd_maxInclusive) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_xsd_maxLength X Y) (and (tptp.ir X) (tptp.lv Y)))) (tptp.iodp tptp.uri_xsd_maxLength) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_xsd_minExclusive X Y) (and (tptp.ir X) (tptp.lv Y)))) (tptp.iodp tptp.uri_xsd_minExclusive) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_xsd_minInclusive X Y) (and (tptp.ir X) (tptp.lv Y)))) (tptp.iodp tptp.uri_xsd_minInclusive) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_xsd_minLength X Y) (and (tptp.ir X) (tptp.lv Y)))) (tptp.iodp tptp.uri_xsd_minLength) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_xsd_pattern X Y) (and (tptp.ir X) (tptp.lv Y)))) (tptp.iodp tptp.uri_xsd_pattern) _let_8 _let_6 true))))))))))))))))))))))))))))))))))))))))
% 22.66/22.98  )
% 22.66/22.98  % SZS output end Proof for SWB097+1
% 22.66/22.98  % cvc5---1.0.5 exiting
% 22.66/22.98  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------