TSTP Solution File: SWB028+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWB028+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 20:02:52 EDT 2023
% Result : Theorem 0.19s 0.54s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB028+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 06:26:47 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.54 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.uieF1dSHpR/cvc5---1.0.5_22953.p...
% 0.19/0.54 ------- get file name : TPTP file name is SWB028+2
% 0.19/0.54 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22953.smt2...
% 0.19/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.54 % SZS status Theorem for SWB028+2
% 0.19/0.54 % SZS output start Proof for SWB028+2
% 0.19/0.54 (
% 0.19/0.54 (let ((_let_1 (exists ((BNODE_z $$unsorted)) (and (tptp.iext tptp.uri_owl_equivalentClass tptp.uri_ex_InversesOfFunctionalProperties BNODE_z) (tptp.iext tptp.uri_rdf_type BNODE_z tptp.uri_owl_Restriction) (tptp.iext tptp.uri_owl_onProperty BNODE_z tptp.uri_owl_inverseOf) (tptp.iext tptp.uri_owl_someValuesFrom BNODE_z tptp.uri_owl_FunctionalProperty))))) (let ((_let_2 (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_ex_InversesOfFunctionalProperties tptp.uri_owl_InverseFunctionalProperty))) (let ((_let_3 (not _let_2))) (let ((_let_4 (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_owl_inverseOf P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext P1 X Y) (tptp.iext P2 Y X)))))))) (let ((_let_5 (forall ((Z $$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))))))))) (let ((_let_6 (forall ((C1 $$unsorted) (C2 $$unsorted)) (= (tptp.iext tptp.uri_owl_equivalentClass C1 C2) (and (tptp.ic C1) (tptp.ic C2) (forall ((X $$unsorted)) (= (tptp.icext C1 X) (tptp.icext C2 X)))))))) (let ((_let_7 (forall ((C1 $$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)))))))) (let ((_let_8 (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)))))))) (let ((_let_9 (forall ((P $$unsorted)) (= (tptp.icext tptp.uri_owl_FunctionalProperty P) (and (tptp.ip P) (forall ((X $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (=> (and (tptp.iext P X Y1) (tptp.iext P X Y2)) (= Y1 Y2)))))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_equivalentClass X Y) (and (tptp.ic X) (tptp.ic Y)))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_inverseOf X Y) (and (tptp.ip X) (tptp.ip Y)))))) (let ((_let_12 (tptp.ic tptp.uri_owl_InverseFunctionalProperty))) (let ((_let_13 (forall ((X $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (or (not (tptp.iext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 X Y1)) (not (tptp.iext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 X Y2)) (= Y1 Y2))))) (let ((_let_14 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_15 (tptp.iext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.iext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_16 _let_14))) (let ((_let_20 (tptp.ip SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_21 (and _let_20 _let_13))) (let ((_let_22 (tptp.icext tptp.uri_owl_FunctionalProperty SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_23 (= _let_22 _let_21))) (let ((_let_24 (forall ((P $$unsorted)) (= (tptp.icext tptp.uri_owl_FunctionalProperty P) (and (tptp.ip P) (forall ((X $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (or (not (tptp.iext P X Y1)) (not (tptp.iext P X Y2)) (= Y1 Y2)))))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (not _let_22))) (let ((_let_27 (tptp.iext tptp.uri_owl_inverseOf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_26))) (let ((_let_30 (forall ((Y $$unsorted)) (or (not (tptp.iext tptp.uri_owl_inverseOf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Y)) (not (tptp.icext tptp.uri_owl_FunctionalProperty Y)))))) (let ((_let_31 (not _let_29))) (let ((_let_32 (not _let_30))) (let ((_let_33 (tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_34 (= _let_33 _let_32))) (let ((_let_35 (tptp.iext tptp.uri_owl_onProperty SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.uri_owl_inverseOf))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.iext tptp.uri_owl_someValuesFrom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.uri_owl_FunctionalProperty))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_36 _let_34))) (let ((_let_40 (forall ((Z $$unsorted) (P $$unsorted) (C $$unsorted) (BOUND_VARIABLE_772 $$unsorted)) (or (not (tptp.iext tptp.uri_owl_someValuesFrom Z C)) (not (tptp.iext tptp.uri_owl_onProperty Z P)) (= (tptp.icext Z BOUND_VARIABLE_772) (not (forall ((Y $$unsorted)) (or (not (tptp.iext P BOUND_VARIABLE_772 Y)) (not (tptp.icext C Y)))))))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (tptp.iext tptp.uri_owl_equivalentClass tptp.uri_ex_InversesOfFunctionalProperties SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 (not (tptp.iext tptp.uri_rdf_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.uri_owl_Restriction)) _let_36 _let_38))) (let ((_let_45 (forall ((BNODE_z $$unsorted)) (or (not (tptp.iext tptp.uri_owl_equivalentClass tptp.uri_ex_InversesOfFunctionalProperties BNODE_z)) (not (tptp.iext tptp.uri_rdf_type BNODE_z tptp.uri_owl_Restriction)) (not (tptp.iext tptp.uri_owl_onProperty BNODE_z tptp.uri_owl_inverseOf)) (not (tptp.iext tptp.uri_owl_someValuesFrom BNODE_z tptp.uri_owl_FunctionalProperty)))))) (let ((_let_46 (not _let_44))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (or))) (let ((_let_49 (not _let_45))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_47) :args (_let_49))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_45))) (REFL :args (_let_46)) :args _let_48)) _let_47 :args (_let_46 true _let_45)))) (let ((_let_51 (REFL :args (_let_44)))) (let ((_let_52 (tptp.icext tptp.uri_ex_InversesOfFunctionalProperties SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_53 (= _let_52 _let_33))) (let ((_let_54 (forall ((X $$unsorted)) (= (tptp.icext tptp.uri_ex_InversesOfFunctionalProperties X) (tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X))))) (let ((_let_55 (tptp.ic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_56 (tptp.ic tptp.uri_ex_InversesOfFunctionalProperties))) (let ((_let_57 (and _let_56 _let_55 _let_54))) (let ((_let_58 (= _let_42 _let_57))) (let ((_let_59 (_let_6))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 0)) (CONG _let_51 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) :args _let_48)) :args ((or _let_42 _let_44))) _let_50 :args (_let_42 true _let_44)))) (let ((_let_62 (_let_54))) (let ((_let_63 (tptp.icext tptp.uri_owl_InverseFunctionalProperty SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_64 (not _let_52))) (let ((_let_65 (or _let_64 _let_63))) (let ((_let_66 (forall ((X $$unsorted)) (or (not (tptp.icext tptp.uri_ex_InversesOfFunctionalProperties X)) (tptp.icext tptp.uri_owl_InverseFunctionalProperty X))))) (let ((_let_67 (not _let_65))) (let ((_let_68 (and _let_56 _let_12 _let_66))) (let ((_let_69 (not _let_66))) (let ((_let_70 (and _let_56 _let_55))) (let ((_let_71 (or _let_43 _let_70))) (let ((_let_72 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_owl_equivalentClass X Y)) (and (tptp.ic X) (tptp.ic Y)))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (= _let_2 _let_68))) (let ((_let_75 (not _let_68))) (let ((_let_76 (forall ((C1 $$unsorted) (C2 $$unsorted)) (= (tptp.iext tptp.uri_rdfs_subClassOf C1 C2) (and (tptp.ic C1) (tptp.ic C2) (forall ((X $$unsorted)) (or (not (tptp.icext C1 X)) (tptp.icext C2 X)))))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (_let_69))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_78)) :args _let_78)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_66))) (REFL :args (_let_67)) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_68)) :args ((or (not _let_12) _let_68 (not _let_56) _let_69))) (ASSUME :args (_let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_74)) :args ((or _let_2 _let_75 (not _let_74)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.uri_ex_InversesOfFunctionalProperties tptp.uri_owl_InverseFunctionalProperty QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.iext tptp.uri_rdfs_subClassOf C1 C2)))) :args (_let_76))) _let_77 :args (_let_74 false _let_76)) :args (_let_75 true _let_2 false _let_74)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_70 0)) :args ((or _let_56 (not _let_70)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_43 _let_70 (not _let_71)))) _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (tptp.uri_ex_InversesOfFunctionalProperties SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.iext tptp.uri_owl_equivalentClass X Y) false))))) :args (_let_72))) _let_73 :args (_let_71 false _let_72)) :args (_let_70 false _let_42 false _let_71)) :args (_let_56 false _let_70)) :args (_let_69 false _let_12 true _let_68 false _let_56)) :args (_let_67 true _let_66)))) (let ((_let_80 (_let_32))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_80)) :args _let_80)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_30))) (REFL :args (_let_31)) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_34)) :args ((or (not _let_33) _let_32 (not _let_34)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_53)) :args ((or _let_64 _let_33 (not _let_53)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_65 0)) (CONG (REFL :args (_let_65)) (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_52))) :args _let_48)) :args ((or _let_52 _let_65))) _let_79 :args (_let_52 true _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_62) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.icext tptp.uri_ex_InversesOfFunctionalProperties X)))) :args _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_57 2)) :args ((or _let_54 (not _let_57)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_58)) :args ((or _let_43 _let_57 (not _let_58)))) _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.uri_ex_InversesOfFunctionalProperties SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.iext tptp.uri_owl_equivalentClass C1 C2)))) :args _let_59)) _let_60 :args (_let_58 false _let_6)) :args (_let_57 false _let_42 false _let_58)) :args (_let_54 false _let_57)) :args (_let_53 false _let_54)) :args (_let_33 false _let_52 false _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_36 _let_38 _let_34 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 2)) (CONG _let_51 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_48)) :args ((or _let_35 _let_44))) _let_50 :args (_let_35 true _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 3)) (CONG _let_51 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_48)) :args ((or _let_37 _let_44))) _let_50 :args (_let_37 true _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.uri_owl_inverseOf tptp.uri_owl_FunctionalProperty SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.iext tptp.uri_owl_someValuesFrom Z C) false)) (not (= (tptp.iext tptp.uri_owl_onProperty Z P) false)) (tptp.icext Z BOUND_VARIABLE_772)))) :args (_let_40))) _let_41 :args (_let_39 false _let_40)) :args (_let_34 false _let_35 false _let_37 false _let_39)) :args (_let_32 false _let_33 false _let_34)) :args (_let_31 true _let_30)))) (let ((_let_82 (REFL :args (_let_29)))) (let ((_let_83 (not _let_19))) (let ((_let_84 (tptp.iext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_85 (= _let_84 _let_17))) (let ((_let_86 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X Y) (tptp.iext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 Y X))))) (let ((_let_87 (tptp.ip SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_88 (and _let_87 _let_20 _let_86))) (let ((_let_89 (= _let_27 _let_88))) (let ((_let_90 (_let_4))) (let ((_let_91 (ASSUME :args _let_90))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 0)) (CONG _let_82 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_48)) :args ((or _let_27 _let_29))) _let_81 :args (_let_27 true _let_29)))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_88 2)) :args ((or _let_86 (not _let_88)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_89)) :args ((or _let_28 _let_88 (not _let_89)))) _let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.iext tptp.uri_owl_inverseOf P1 P2)))) :args _let_90)) _let_91 :args (_let_89 false _let_4)) :args (_let_88 false _let_27 false _let_89)) :args (_let_86 false _let_88)))) (let ((_let_94 (_let_86))) (let ((_let_95 ((tptp.iext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X Y)))) (let ((_let_96 (ASSUME :args _let_94))) (let ((_let_97 (not _let_84))) (let ((_let_98 (tptp.iext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_99 _let_97 _let_14))) (let ((_let_101 (forall ((X1 $$unsorted) (X2 $$unsorted) (Y $$unsorted)) (or (not (tptp.iext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X1 Y)) (not (tptp.iext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X2 Y)) (= X1 X2))))) (let ((_let_102 (not _let_100))) (let ((_let_103 (and _let_87 _let_101))) (let ((_let_104 (not _let_101))) (let ((_let_105 (and _let_87 _let_20))) (let ((_let_106 (or _let_28 _let_105))) (let ((_let_107 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_owl_inverseOf X Y)) (and (tptp.ip X) (tptp.ip Y)))))) (let ((_let_108 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_109 (= _let_63 _let_103))) (let ((_let_110 (not _let_103))) (let ((_let_111 (forall ((P $$unsorted)) (= (tptp.icext tptp.uri_owl_InverseFunctionalProperty P) (and (tptp.ip P) (forall ((X1 $$unsorted) (X2 $$unsorted) (Y $$unsorted)) (or (not (tptp.iext P X1 Y)) (not (tptp.iext P X2 Y)) (= X1 X2)))))))) (let ((_let_112 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_113 (_let_104))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_113)) :args _let_113)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_104) _let_101))) (REFL :args (_let_102)) :args _let_48)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_103)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_109)) :args ((or _let_63 _let_110 (not _let_109)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_65 1)) _let_79 :args ((not _let_63) true _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.icext tptp.uri_owl_InverseFunctionalProperty P)))) :args (_let_111))) _let_112 :args (_let_109 false _let_111)) :args (_let_110 true _let_63 false _let_109)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_105 0)) :args ((or _let_87 (not _let_105)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_106)) :args ((or _let_28 _let_105 (not _let_106)))) _let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.iext tptp.uri_owl_inverseOf X Y) false))))) :args (_let_107))) _let_108 :args (_let_106 false _let_107)) :args (_let_105 false _let_27 false _let_106)) :args (_let_87 false _let_105)) :args (_let_104 true _let_103 false _let_87)) :args (_let_102 true _let_101)))) (let ((_let_115 (REFL :args (_let_100)))) (let ((_let_116 (= _let_98 _let_15))) (let ((_let_117 (_let_13))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_117) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.iext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 X Y1) false)) (not (= (tptp.iext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 X Y2) false))))) :args _let_117))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_14 _let_16 _let_18 _let_83))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_100 2)) _let_114 :args ((not _let_14) true _let_100)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_116)) :args ((or _let_99 _let_15 (not _let_116)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_100 0)) (CONG _let_115 (MACRO_SR_PRED_INTRO :args ((= (not _let_99) _let_98))) :args _let_48)) :args ((or _let_98 _let_100))) _let_114 :args (_let_98 true _let_100)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_94)) _let_93 :args (_let_116 false _let_86)) :args (_let_15 false _let_98 false _let_116)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_85)) :args ((or _let_97 _let_17 (not _let_85)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_100 1)) (CONG _let_115 (MACRO_SR_PRED_INTRO :args ((= (not _let_97) _let_84))) :args _let_48)) :args ((or _let_84 _let_100))) _let_114 :args (_let_84 true _let_100)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_94)) _let_93 :args (_let_85 false _let_86)) :args (_let_17 false _let_84 false _let_85)) :args (_let_83 true _let_14 false _let_15 false _let_17)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_21 1)) :args ((or _let_13 (not _let_21)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_23)) :args ((or _let_26 _let_21 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 1)) (CONG _let_82 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_22))) :args _let_48)) :args ((or _let_22 _let_29))) _let_81 :args (_let_22 true _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.icext tptp.uri_owl_FunctionalProperty P)))) :args (_let_24))) _let_25 :args (_let_23 false _let_24)) :args (_let_21 false _let_22 false _let_23)) :args (_let_13 false _let_21)) :args (false true _let_19 false _let_13)) :args (_let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.55 )
% 0.19/0.55 % SZS output end Proof for SWB028+2
% 0.19/0.55 % cvc5---1.0.5 exiting
% 0.19/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------