TSTP Solution File: SWB023+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWB023+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n005.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 20:02:48 EDT 2023
% Result : Theorem 55.38s 55.57s
% Output : Proof 55.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : SWB023+1 : TPTP v8.1.2. Released v5.2.0.
% 0.17/0.17 % Command : do_cvc5 %s %d
% 0.17/0.38 % Computer : n005.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Sun Aug 27 07:40:38 EDT 2023
% 0.17/0.38 % CPUTime :
% 0.25/0.57 %----Proving TF0_NAR, FOF, or CNF
% 55.38/55.57 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.2fPH4n5I0c/cvc5---1.0.5_24034.p...
% 55.38/55.57 ------- get file name : TPTP file name is SWB023+1
% 55.38/55.57 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_24034.smt2...
% 55.38/55.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 55.38/55.57 --- Run --no-e-matching --full-saturate-quant at 5...
% 55.38/55.57 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 55.38/55.57 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 55.38/55.57 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 55.38/55.57 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 55.38/55.57 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 55.38/55.57 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 55.38/55.57 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 55.38/55.57 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 55.38/55.57 % SZS status Theorem for SWB023+1
% 55.38/55.57 % SZS output start Proof for SWB023+1
% 55.38/55.57 (
% 55.38/55.57 (let ((_let_1 (exists ((BNODE_o $$unsorted) (BNODE_l $$unsorted)) (and (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_first tptp.uri_owl_FunctionalProperty) (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w BNODE_o) (tptp.iext tptp.uri_rdf_type BNODE_o tptp.uri_owl_Class) (tptp.iext tptp.uri_owl_oneOf BNODE_o BNODE_l) (tptp.iext tptp.uri_rdf_first BNODE_l tptp.uri_ex_u) (tptp.iext tptp.uri_rdf_first BNODE_l tptp.uri_ex_v) (tptp.iext tptp.uri_rdf_rest BNODE_l tptp.uri_rdf_nil))))) (let ((_let_2 (tptp.iext tptp.uri_owl_sameAs tptp.uri_ex_w tptp.uri_ex_v))) (let ((_let_3 (tptp.iext tptp.uri_owl_sameAs tptp.uri_ex_w tptp.uri_ex_u))) (let ((_let_4 (not (and _let_3 _let_2)))) (let ((_let_5 (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)))))))) (let ((_let_6 (or tptp.tautology (not tptp.tautology)))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext tptp.uri_owl_sameAs X Y) (= X Y))))) (let ((_let_8 (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))))))))) (let ((_let_9 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_predicate tptp.uri_rdfs_Resource))) (let ((_let_10 (forall ((X $$unsorted) (C $$unsorted)) (= (tptp.iext tptp.uri_rdf_type X C) (tptp.icext C X))))) (let ((_let_11 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_type tptp.uri_rdf_Property))) (let ((_let_12 (forall ((X $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (or (not (tptp.iext tptp.uri_rdf_first X Y1)) (not (tptp.iext tptp.uri_rdf_first X Y2)) (= Y1 Y2))))) (let ((_let_13 (= tptp.uri_ex_u tptp.uri_ex_v))) (let ((_let_14 (tptp.iext tptp.uri_rdf_first SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.uri_ex_v))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.iext tptp.uri_rdf_first SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.uri_ex_u))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_15 _let_13))) (let ((_let_19 (and (tptp.ip tptp.uri_rdf_first) _let_12))) (let ((_let_20 (tptp.icext tptp.uri_owl_FunctionalProperty tptp.uri_rdf_first))) (let ((_let_21 (= _let_20 _let_19))) (let ((_let_22 (forall ((P $$unsorted)) (= (tptp.icext tptp.uri_owl_FunctionalProperty P) (and (tptp.ip P) (forall ((X $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (or (not (tptp.iext P X Y1)) (not (tptp.iext P X Y2)) (= Y1 Y2)))))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_first tptp.uri_owl_FunctionalProperty))) (let ((_let_25 (= _let_24 _let_20))) (let ((_let_26 (_let_10))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 ((tptp.iext tptp.uri_rdf_type X C)))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (not _let_18))) (let ((_let_31 (= tptp.uri_ex_w tptp.uri_ex_u))) (let ((_let_32 (= tptp.uri_ex_w tptp.uri_ex_v))) (let ((_let_33 (not _let_13))) (let ((_let_34 (tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.uri_ex_w))) (let ((_let_35 (= _let_34 _let_31))) (let ((_let_36 (forall ((X $$unsorted)) (= (tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 X) (= X tptp.uri_ex_u))))) (let ((_let_37 (and (tptp.ic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) _let_36))) (let ((_let_38 (tptp.iext tptp.uri_owl_oneOf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_39 (= _let_38 _let_37))) (let ((_let_40 (tptp.iext tptp.uri_rdf_rest SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.uri_rdf_nil))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_17 _let_41 _let_39))) (let ((_let_43 (forall ((Z $$unsorted) (S1 $$unsorted) (A1 $$unsorted)) (or (not (tptp.iext tptp.uri_rdf_first S1 A1)) (not (tptp.iext tptp.uri_rdf_rest S1 tptp.uri_rdf_nil)) (= (tptp.iext tptp.uri_owl_oneOf Z S1) (and (tptp.ic Z) (forall ((X $$unsorted)) (= (tptp.icext Z X) (= A1 X))))))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (not _let_38))) (let ((_let_46 (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 (not (tptp.iext tptp.uri_rdf_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.uri_owl_Class)) _let_45 _let_17 _let_15 _let_41))) (let ((_let_49 (forall ((BNODE_o $$unsorted) (BNODE_l $$unsorted)) (or (not (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w BNODE_o)) (not (tptp.iext tptp.uri_rdf_type BNODE_o tptp.uri_owl_Class)) (not (tptp.iext tptp.uri_owl_oneOf BNODE_o BNODE_l)) (not (tptp.iext tptp.uri_rdf_first BNODE_l tptp.uri_ex_u)) (not (tptp.iext tptp.uri_rdf_first BNODE_l tptp.uri_ex_v)) (not (tptp.iext tptp.uri_rdf_rest BNODE_l tptp.uri_rdf_nil)))))) (let ((_let_50 (not _let_48))) (let ((_let_51 (or))) (let ((_let_52 (not _let_49))) (let ((_let_53 (_let_52))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_53)) :args _let_53)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_49))) (REFL :args (_let_50)) :args _let_51)) (NOT_OR_ELIM _let_29 :args (1)) :args (_let_50 true _let_49)))) (let ((_let_55 (REFL :args (_let_48)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 3)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_51)) :args ((or _let_16 _let_48))) _let_54 :args (_let_16 true _let_48)))) (let ((_let_57 (_let_36))) (let ((_let_58 (= _let_46 _let_34))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_35)) :args ((or _let_31 (not _let_34) (not _let_35)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_58)) :args ((or _let_47 _let_34 (not _let_58)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 0)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))) :args _let_51)) :args ((or _let_46 _let_48))) _let_54 :args (_let_46 true _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.uri_ex_w SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_26)) _let_27 :args (_let_58 false _let_10)) :args (_let_34 false _let_46 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_57) :args (tptp.uri_ex_w QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_37 1)) :args ((or _let_36 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_39)) :args ((or _let_45 _let_37 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 2)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_38))) :args _let_51)) :args ((or _let_38 _let_48))) _let_54 :args (_let_38 true _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_17 _let_41 _let_39 (not _let_42)))) _let_56 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 5)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_51)) :args ((or _let_40 _let_48))) _let_54 :args (_let_40 true _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.uri_ex_u QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.iext tptp.uri_rdf_first S1 A1) false)) (tptp.iext tptp.uri_owl_oneOf Z S1)))) :args (_let_43)))) _let_44 :args (_let_42 false _let_43)) :args (_let_39 false _let_16 false _let_40 false _let_42)) :args (_let_37 false _let_38 false _let_39)) :args (_let_36 false _let_37)) :args (_let_35 false _let_36)) :args (_let_31 false _let_34 false _let_35)))) (let ((_let_60 (= _let_2 _let_32))) (let ((_let_61 (not _let_32))) (let ((_let_62 (_let_7))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 ((tptp.iext tptp.uri_owl_sameAs X Y)))) (let ((_let_65 (= _let_3 _let_31))) (let ((_let_66 (not _let_31))) (let ((_let_67 (and _let_31 _let_61))) (let ((_let_68 (ASSUME :args (_let_61)))) (let ((_let_69 (ASSUME :args (_let_31)))) (let ((_let_70 (_let_12))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_70) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.uri_ex_u tptp.uri_ex_v QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_17 _let_15 _let_13 _let_30))) _let_56 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 4)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_51)) :args ((or _let_14 _let_48))) _let_54 :args (_let_14 true _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_67)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_68 _let_69) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_69) (REFL :args (tptp.uri_ex_v)) :args (=)) (FALSE_INTRO _let_68))) :args (_let_61 _let_31))) :args (_let_31 _let_61))) :args (true _let_67)) (CONG (REFL :args (_let_66)) (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_32))) (REFL :args (_let_33)) :args _let_51)) :args ((or _let_32 _let_66 _let_33))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_60)) :args ((or _let_2 _let_61 (not _let_60)))) (MACRO_RESOLUTION_TRUST (NOT_AND (ASSUME :args (_let_4))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_65)) :args ((or _let_3 _let_66 (not _let_65)))) _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.uri_ex_w tptp.uri_ex_u QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_64)) :args _let_62)) _let_63 :args (_let_65 false _let_7)) :args (_let_3 false _let_31 false _let_65)) :args ((not _let_2) false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.uri_ex_w tptp.uri_ex_v QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_64)) :args _let_62)) _let_63 :args (_let_60 false _let_7)) :args (_let_61 true _let_2 false _let_60)) _let_59 :args (_let_33 true _let_32 false _let_31)) :args (_let_30 false _let_16 false _let_14 true _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_19 1)) :args ((or _let_12 (not _let_19)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_21)) :args ((or (not _let_20) _let_19 (not _let_21)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_25)) :args ((or (not _let_24) _let_20 (not _let_25)))) (NOT_NOT_ELIM (NOT_OR_ELIM _let_29 :args (0))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.uri_rdf_first tptp.uri_owl_FunctionalProperty QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_26)) _let_27 :args (_let_25 false _let_10)) :args (_let_20 false _let_24 false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.uri_rdf_first QUANTIFIERS_INST_CBQI_PROP)) :args (_let_22))) _let_23 :args (_let_21 false _let_22)) :args (_let_19 false _let_20 false _let_21)) :args (_let_12 false _let_19)) :args (false true _let_18 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_11 _let_11 (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_10 (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_9 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_predicate tptp.uri_rdfs_Statement) _let_9 (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)))))) _let_8 (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) 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(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 $$unsorted)) (tptp.icext Z X)))) (forall ((Z $$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))))))) (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 $$unsorted)) (not (and (tptp.iext P1 X Y) (tptp.iext P2 X Y))))))) _let_7 (exists ((Z $$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 $$unsorted)) (and (tptp.icext tptp.uri_owl_AllDifferent Z) (tptp.iext tptp.uri_owl_distinctMembers Z S1))))) _let_6 _let_6 (forall ((Z $$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 $$unsorted)) (and (tptp.icext tptp.uri_owl_AllDifferent Z) (tptp.iext tptp.uri_owl_members Z S1))))) _let_6 _let_6 (forall ((Z $$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 $$unsorted)) (and (tptp.icext tptp.uri_owl_AllDisjointClasses Z) (tptp.iext tptp.uri_owl_members Z S1))))) _let_6 _let_6 (forall ((Z $$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 $$unsorted)) (and (tptp.icext tptp.uri_owl_AllDisjointProperties Z) (tptp.iext tptp.uri_owl_members Z S1))))) _let_6 _let_6 (forall ((Z $$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))))))) _let_5 (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_4 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 55.38/55.58 )
% 55.38/55.58 % SZS output end Proof for SWB023+1
% 55.38/55.58 % cvc5---1.0.5 exiting
% 55.38/55.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------