%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWB058+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n025.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 20:03:00 EDT 2023

% Result   : Theorem 54.93s 55.14s
% Output   : Proof 54.93s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.17  % Problem    : SWB058+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.18  % Command    : do_cvc5 %s %d
% 0.19/0.39  % Computer : n025.cluster.edu
% 0.19/0.39  % Model    : x86_64 x86_64
% 0.19/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.39  % Memory   : 8042.1875MB
% 0.19/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.39  % CPULimit   : 300
% 0.19/0.39  % WCLimit    : 300
% 0.19/0.39  % DateTime   : Sun Aug 27 06:29:53 EDT 2023
% 0.19/0.40  % CPUTime    : 
% 0.25/0.57  %----Proving TF0_NAR, FOF, or CNF
% 54.93/55.14  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.EHffJpev0f/cvc5---1.0.5_22451.p...
% 54.93/55.14  ------- get file name : TPTP file name is SWB058+1
% 54.93/55.14  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22451.smt2...
% 54.93/55.14  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 54.93/55.14  --- Run --no-e-matching --full-saturate-quant at 5...
% 54.93/55.14  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 54.93/55.14  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 54.93/55.14  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 54.93/55.14  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 54.93/55.14  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 54.93/55.14  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 54.93/55.14  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 54.93/55.14  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 54.93/55.14  % SZS status Theorem for SWB058+1
% 54.93/55.14  % SZS output start Proof for SWB058+1
% 54.93/55.14  (
% 54.93/55.14  (let ((_let_1 (exists ((X1 $$unsorted) (X0 $$unsorted)) (and (tptp.iext tptp.uri_owl_oneOf tptp.uri_ex_c2 X0) (tptp.iext tptp.uri_rdf_first X1 tptp.uri_ex_x) (tptp.iext tptp.uri_rdf_rest X1 tptp.uri_rdf_nil) (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_x tptp.uri_ex_y) (tptp.iext tptp.uri_owl_oneOf tptp.uri_ex_c1 X1) (tptp.iext tptp.uri_rdf_first X0 tptp.uri_ex_y) (tptp.iext tptp.uri_rdf_rest X0 tptp.uri_rdf_nil))))) (let ((_let_2 (tptp.iext tptp.uri_owl_disjointWith tptp.uri_ex_c1 tptp.uri_ex_c2))) (let ((_let_3 (not _let_2))) (let ((_let_4 (or tptp.tautology (not tptp.tautology)))) (let ((_let_5 (forall ((C1 $$unsorted) (C2 $$unsorted)) (= (tptp.iext tptp.uri_owl_disjointWith C1 C2) (and (tptp.ic C1) (tptp.ic C2) (forall ((X $$unsorted)) (not (and (tptp.icext C1 X) (tptp.icext C2 X))))))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext tptp.uri_owl_differentFrom X Y) (not (= X Y)))))) (let ((_let_7 (forall ((Z $$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 $$unsorted)) (= (tptp.icext Z X) (= X A1))))))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_oneOf X Y) (and (tptp.ic X) (tptp.icext tptp.uri_rdf_List Y)))))) (let ((_let_9 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_predicate tptp.uri_rdfs_Resource))) (let ((_let_10 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_type tptp.uri_rdf_Property))) (let ((_let_11 (= tptp.uri_ex_x tptp.uri_ex_y))) (let ((_let_12 (= tptp.uri_ex_y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_13 (= tptp.uri_ex_x SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_14 (not _let_11))) (let ((_let_15 (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_x tptp.uri_ex_y))) (let ((_let_16 (= _let_15 _let_14))) (let ((_let_17 (_let_6))) (let ((_let_18 (ASSUME :args _let_17))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (tptp.icext tptp.uri_ex_c2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_21 (= _let_20 _let_12))) (let ((_let_22 (forall ((X $$unsorted)) (= (tptp.icext tptp.uri_ex_c2 X) (= X tptp.uri_ex_y))))) (let ((_let_23 (tptp.ic tptp.uri_ex_c2))) (let ((_let_24 (and _let_23 _let_22))) (let ((_let_25 (tptp.iext tptp.uri_owl_oneOf tptp.uri_ex_c2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_26 (= _let_25 _let_24))) (let ((_let_27 (tptp.iext tptp.uri_rdf_rest SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.uri_rdf_nil))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.iext tptp.uri_rdf_first SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.uri_ex_y))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_28 _let_26))) (let ((_let_32 (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_33 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (_let_32))) (let ((_let_35 ((not (= (tptp.iext tptp.uri_rdf_first S1 A1) false)) (tptp.iext tptp.uri_owl_oneOf Z S1)))) (let ((_let_36 (not _let_25))) (let ((_let_37 (or _let_36 _let_30 _let_28))) (let ((_let_38 (forall ((X0 $$unsorted)) (or (not (tptp.iext tptp.uri_owl_oneOf tptp.uri_ex_c2 X0)) (not (tptp.iext tptp.uri_rdf_first X0 tptp.uri_ex_y)) (not (tptp.iext tptp.uri_rdf_rest X0 tptp.uri_rdf_nil)))))) (let ((_let_39 (not _let_37))) (let ((_let_40 (or))) (let ((_let_41 (not _let_38))) (let ((_let_42 (_let_41))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_42)) :args _let_42)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_38))) (REFL :args (_let_39)) :args _let_40)) (NOT_OR_ELIM _let_19 :args (1)) :args (_let_39 true _let_38)))) (let ((_let_44 (REFL :args (_let_37)))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 0)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_25))) :args _let_40)) :args ((or _let_25 _let_37))) _let_43 :args (_let_25 true _let_37)))) (let ((_let_46 (_let_22))) (let ((_let_47 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_48 (not _let_20))) (let ((_let_49 (tptp.icext tptp.uri_ex_c1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_50 _let_48))) (let ((_let_52 (forall ((X $$unsorted)) (or (not (tptp.icext tptp.uri_ex_c1 X)) (not (tptp.icext tptp.uri_ex_c2 X)))))) (let ((_let_53 (not _let_51))) (let ((_let_54 (tptp.ic tptp.uri_ex_c1))) (let ((_let_55 (and _let_54 _let_23 _let_52))) (let ((_let_56 (not _let_52))) (let ((_let_57 (and _let_23 (tptp.icext tptp.uri_rdf_List SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_58 (or _let_36 _let_57))) (let ((_let_59 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_owl_oneOf X Y)) (and (tptp.ic X) (tptp.icext tptp.uri_rdf_List Y)))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (_let_59))) (let ((_let_62 ((not (= (tptp.iext tptp.uri_owl_oneOf X Y) false))))) (let ((_let_63 (and _let_54 (tptp.icext tptp.uri_rdf_List SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_64 (tptp.iext tptp.uri_owl_oneOf tptp.uri_ex_c1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_63))) (let ((_let_67 (tptp.iext tptp.uri_rdf_rest SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.uri_rdf_nil))) (let ((_let_68 (not _let_67))) (let ((_let_69 (tptp.iext tptp.uri_rdf_first SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.uri_ex_x))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_70 _let_68 _let_65))) (let ((_let_72 (forall ((X1 $$unsorted)) (or (not (tptp.iext tptp.uri_rdf_first X1 tptp.uri_ex_x)) (not (tptp.iext tptp.uri_rdf_rest X1 tptp.uri_rdf_nil)) (not (tptp.iext tptp.uri_owl_oneOf tptp.uri_ex_c1 X1)))))) (let ((_let_73 (not _let_71))) (let ((_let_74 (not _let_72))) (let ((_let_75 (_let_74))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_75)) :args _let_75)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_74) _let_72))) (REFL :args (_let_73)) :args _let_40)) (NOT_OR_ELIM _let_19 :args (2)) :args (_let_73 true _let_72)))) (let ((_let_77 (REFL :args (_let_71)))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_71 2)) (CONG _let_77 (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_64))) :args _let_40)) :args ((or _let_64 _let_71))) _let_76 :args (_let_64 true _let_71)))) (let ((_let_79 (= _let_2 _let_55))) (let ((_let_80 (not _let_55))) (let ((_let_81 (forall ((C1 $$unsorted) (C2 $$unsorted)) (= (tptp.iext tptp.uri_owl_disjointWith C1 C2) (and (tptp.ic C1) (tptp.ic C2) (forall ((X $$unsorted)) (or (not (tptp.icext C1 X)) (not (tptp.icext C2 X))))))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (_let_56))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_83)) :args _let_83)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_52))) (REFL :args (_let_53)) :args _let_40)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_79)) :args ((or _let_2 _let_80 (not _let_79)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (tptp.uri_ex_c1 tptp.uri_ex_c2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.iext tptp.uri_owl_disjointWith C1 C2)))) :args (_let_81))) _let_82 :args (_let_79 false _let_81)) :args (_let_80 true _let_2 false _let_79)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_63 0)) :args ((or _let_54 (not _let_63)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_65 _let_63 (not _let_66)))) _let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.uri_ex_c1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_61)) _let_60 :args (_let_66 false _let_59)) :args (_let_63 false _let_64 false _let_66)) :args (_let_54 false _let_63)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_57 0)) :args ((or _let_23 (not _let_57)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_36 _let_57 (not _let_58)))) _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.uri_ex_c2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_61)) _let_60 :args (_let_58 false _let_59)) :args (_let_57 false _let_25 false _let_58)) :args (_let_23 false _let_57)) :args (_let_56 true _let_55 false _let_54 false _let_23)) :args (_let_53 true _let_52)))) (let ((_let_85 (REFL :args (_let_51)))) (let ((_let_86 (= _let_49 _let_13))) (let ((_let_87 (forall ((X $$unsorted)) (= (tptp.icext tptp.uri_ex_c1 X) (= X tptp.uri_ex_x))))) (let ((_let_88 (and _let_54 _let_87))) (let ((_let_89 (= _let_64 _let_88))) (let ((_let_90 (or _let_70 _let_68 _let_89))) (let ((_let_91 (_let_87))) (let ((_let_92 (and _let_14 _let_12))) (let ((_let_93 (_let_14 _let_12))) (let ((_let_94 (ASSUME :args (_let_14)))) (let ((_let_95 (ASSUME :args (_let_12)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_92)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_94 _let_95) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.uri_ex_x)) (SYMM _let_95) :args (=)) (FALSE_INTRO _let_94))) :args _let_93)) :args _let_93)) :args (true _let_92)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_11))) (REFL :args ((not _let_12))) (REFL :args ((not _let_13))) :args _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_86)) :args ((or _let_50 _let_13 (not _let_86)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 0)) (CONG _let_85 (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_49))) :args _let_40)) :args ((or _let_49 _let_51))) _let_84 :args (_let_49 true _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_91) :args _let_47) :args _let_91))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_88 1)) :args ((or _let_87 (not _let_88)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_89)) :args ((or _let_65 _let_88 (not _let_89)))) _let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_70 _let_68 _let_89 (not _let_90)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_71 0)) (CONG _let_77 (MACRO_SR_PRED_INTRO :args ((= (not _let_70) _let_69))) :args _let_40)) :args ((or _let_69 _let_71))) _let_76 :args (_let_69 true _let_71)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_71 1)) (CONG _let_77 (MACRO_SR_PRED_INTRO :args ((= (not _let_68) _let_67))) :args _let_40)) :args ((or _let_67 _let_71))) _let_76 :args (_let_67 true _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.uri_ex_c1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.uri_ex_x QUANTIFIERS_INST_E_MATCHING _let_35)) :args _let_34))) _let_33 :args (_let_90 false _let_32)) :args (_let_89 false _let_69 false _let_67 false _let_90)) :args (_let_88 false _let_64 false _let_89)) :args (_let_87 false _let_88)) :args (_let_86 false _let_87)) :args (_let_13 false _let_49 false _let_86)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_21)) :args ((or _let_48 _let_12 (not _let_21)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 1)) (CONG _let_85 (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_20))) :args _let_40)) :args ((or _let_20 _let_51))) _let_84 :args (_let_20 true _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_46) :args _let_47) :args _let_46))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_24 1)) :args ((or _let_22 (not _let_24)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_26)) :args ((or _let_36 _let_24 (not _let_26)))) _let_45 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_28 _let_26 (not _let_31)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 1)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_40)) :args ((or _let_29 _let_37))) _let_43 :args (_let_29 true _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 2)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_40)) :args ((or _let_27 _let_37))) _let_43 :args (_let_27 true _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.uri_ex_c2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.uri_ex_y QUANTIFIERS_INST_E_MATCHING _let_35)) :args _let_34))) _let_33 :args (_let_31 false _let_32)) :args (_let_26 false _let_29 false _let_27 false _let_31)) :args (_let_24 false _let_25 false _let_26)) :args (_let_22 false _let_24)) :args (_let_21 false _let_22)) :args (_let_12 false _let_20 false _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_16)) :args ((or (not _let_15) _let_14 (not _let_16)))) (NOT_NOT_ELIM (NOT_OR_ELIM _let_19 :args (0))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (tptp.uri_ex_x tptp.uri_ex_y QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.iext tptp.uri_owl_differentFrom X Y)))) :args _let_17)) _let_18 :args (_let_16 false _let_6)) :args (_let_14 false _let_15 false _let_16)) :args (false false _let_13 false _let_12 true _let_11)) :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 $$unsorted)) (= (tptp.iext tptp.uri_rdf_type P tptp.uri_rdf_Property) (tptp.ip P))) _let_10 _let_10 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_comment tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_comment tptp.uri_rdfs_Literal) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_isDefinedBy tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_isDefinedBy tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_subPropertyOf tptp.uri_rdfs_isDefinedBy tptp.uri_rdfs_seeAlso) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_label tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_label tptp.uri_rdfs_Literal) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_seeAlso tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_seeAlso tptp.uri_rdfs_Resource) (forall ((X $$unsorted) (C $$unsorted)) (= (tptp.iext tptp.uri_rdf_type X C) (tptp.icext C X))) (forall ((C $$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 $$unsorted)) (= (tptp.icext tptp.uri_rdf_Property X) (tptp.ip X))) (tptp.ic 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tptp.uri_owl_annotatedProperty X Y) (and (tptp.ir X) (tptp.ir Y)))) (tptp.ip tptp.uri_owl_annotatedProperty) (forall ((X $$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 $$unsorted)) (=> (tptp.iext tptp.uri_owl_onDatatype X Y) (and (tptp.idc X) (tptp.idc Y)))) (tptp.ip tptp.uri_owl_onDatatype) _let_8 (tptp.ip tptp.uri_owl_oneOf) (forall ((X $$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 $$unsorted)) (not (tptp.icext Z X)))))) _let_7 (forall ((Z $$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 $$unsorted)) (tptp.icext Z X)))) (forall ((Z $$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 $$unsorted)) (=> (tptp.iext P1 X Y) (tptp.iext P2 X Y)))))) _let_6 (forall ((C $$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 $$unsorted)) (let ((_let_1 (tptp.icext C3 X))) (let ((_let_2 (tptp.icext C2 X))) (let ((_let_3 (tptp.icext C1 X))) (= (tptp.icext C X) (and (or _let_3 _let_2 _let_1) (not (and _let_3 _let_2)) (not (and _let_3 _let_1)) (not (and _let_2 _let_1)))))))))))) _let_5 (forall ((C1 $$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_4 _let_4 (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_4 _let_4 (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_4 _let_4 (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_4 _let_4 (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_3 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 54.93/55.15  )
% 54.93/55.15  % SZS output end Proof for SWB058+1
% 54.93/55.15  % cvc5---1.0.5 exiting
% 54.93/55.15  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------