TSTP Solution File: SWB013+2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWB013+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n003.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 20:02:39 EDT 2023

% Result   : Theorem 0.20s 0.59s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SWB013+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n003.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % 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 07:24:54 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.59  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.T01d5ZnHyv/cvc5---1.0.5_30097.p...
% 0.20/0.59  ------- get file name : TPTP file name is SWB013+2
% 0.20/0.59  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30097.smt2...
% 0.20/0.59  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.59  % SZS status Theorem for SWB013+2
% 0.20/0.59  % SZS output start Proof for SWB013+2
% 0.20/0.59  (
% 0.20/0.59  (let ((_let_1 (exists ((BNODE_r $$unsorted) (BNODE_i $$unsorted) (BNODE_l1 $$unsorted) (BNODE_l2 $$unsorted) (BNODE_l3 $$unsorted)) (and (tptp.iext tptp.uri_rdf_type tptp.uri_ex_Clique tptp.uri_owl_Class) (tptp.iext tptp.uri_rdfs_subPropertyOf tptp.uri_ex_sameCliqueAs tptp.uri_owl_sameAs) (tptp.iext tptp.uri_rdfs_range tptp.uri_ex_sameCliqueAs tptp.uri_ex_Clique) (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_ex_Clique BNODE_r) (tptp.iext tptp.uri_rdf_type BNODE_r tptp.uri_owl_Restriction) (tptp.iext tptp.uri_owl_onProperty BNODE_r tptp.uri_ex_sameCliqueAs) (tptp.iext tptp.uri_owl_someValuesFrom BNODE_r tptp.uri_ex_Clique) (tptp.iext tptp.uri_rdf_type tptp.uri_foaf_knows tptp.uri_owl_ObjectProperty) (tptp.iext tptp.uri_owl_propertyChainAxiom tptp.uri_foaf_knows BNODE_l1) (tptp.iext tptp.uri_rdf_first BNODE_l1 tptp.uri_rdf_type) (tptp.iext tptp.uri_rdf_rest BNODE_l1 BNODE_l2) (tptp.iext tptp.uri_rdf_first BNODE_l2 tptp.uri_ex_sameCliqueAs) (tptp.iext tptp.uri_rdf_rest BNODE_l2 BNODE_l3) (tptp.iext tptp.uri_rdf_first BNODE_l3 BNODE_i) (tptp.iext tptp.uri_rdf_rest BNODE_l3 tptp.uri_rdf_nil) (tptp.iext tptp.uri_owl_inverseOf BNODE_i tptp.uri_rdf_type) (tptp.iext tptp.uri_rdf_type tptp.uri_ex_JoesGang tptp.uri_ex_Clique) (tptp.iext tptp.uri_rdf_type tptp.uri_ex_alice tptp.uri_ex_JoesGang) (tptp.iext tptp.uri_rdf_type tptp.uri_ex_bob tptp.uri_ex_JoesGang))))) (let ((_let_2 (tptp.iext tptp.uri_foaf_knows tptp.uri_ex_alice tptp.uri_ex_bob))) (let ((_let_3 (not _let_2))) (let ((_let_4 (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_owl_inverseOf P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext P1 X Y) (tptp.iext P2 Y X)))))))) (let ((_let_5 (forall ((P $$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))))))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext tptp.uri_owl_sameAs X Y) (= X Y))))) (let ((_let_7 (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 ((_let_8 (forall ((C1 $$unsorted) (C2 $$unsorted)) (= (tptp.iext tptp.uri_rdfs_subClassOf C1 C2) (and (tptp.ic C1) (tptp.ic C2) (forall ((X $$unsorted)) (=> (tptp.icext C1 X) (tptp.icext C2 X)))))))) (let ((_let_9 (forall ((Z $$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_10 (forall ((X $$unsorted) (C $$unsorted)) (= (tptp.iext tptp.uri_rdf_type X C) (tptp.icext C X))))) (let ((_let_11 (tptp.iext tptp.uri_ex_sameCliqueAs tptp.uri_ex_JoesGang SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_12 (tptp.iext tptp.uri_ex_sameCliqueAs tptp.uri_ex_JoesGang tptp.uri_ex_JoesGang))) (let ((_let_13 (= tptp.uri_ex_JoesGang SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_14 (not _let_11))) (let ((_let_15 (or _let_14 (not (tptp.icext tptp.uri_ex_Clique SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))))) (let ((_let_16 (forall ((Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_sameCliqueAs tptp.uri_ex_JoesGang Y)) (not (tptp.icext tptp.uri_ex_Clique Y)))))) (let ((_let_17 (not _let_15))) (let ((_let_18 (not _let_16))) (let ((_let_19 (tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.uri_ex_JoesGang))) (let ((_let_20 (= _let_19 _let_18))) (let ((_let_21 (tptp.iext tptp.uri_owl_onProperty SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.uri_ex_sameCliqueAs))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.iext tptp.uri_owl_someValuesFrom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.uri_ex_Clique))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 _let_22 _let_20))) (let ((_let_26 (forall ((Z $$unsorted) (P $$unsorted) (C $$unsorted) (BOUND_VARIABLE_765 $$unsorted)) (or (not (tptp.iext tptp.uri_owl_someValuesFrom Z C)) (not (tptp.iext tptp.uri_owl_onProperty Z P)) (= (tptp.icext Z BOUND_VARIABLE_765) (not (forall ((Y $$unsorted)) (or (not (tptp.iext P BOUND_VARIABLE_765 Y)) (not (tptp.icext C Y)))))))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_ex_Clique SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_29 (not _let_28))) (let ((_let_30 (or _let_29 (not (tptp.iext tptp.uri_rdf_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.uri_owl_Restriction)) _let_22 _let_24))) (let ((_let_31 (forall ((BNODE_r $$unsorted)) (or (not (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_ex_Clique BNODE_r)) (not (tptp.iext tptp.uri_rdf_type BNODE_r tptp.uri_owl_Restriction)) (not (tptp.iext tptp.uri_owl_onProperty BNODE_r tptp.uri_ex_sameCliqueAs)) (not (tptp.iext tptp.uri_owl_someValuesFrom BNODE_r tptp.uri_ex_Clique)))))) (let ((_let_32 (not _let_30))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (or))) (let ((_let_35 (not _let_31))) (let ((_let_36 (_let_35))) (let ((_let_37 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_36)) :args _let_36)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_31))) (REFL :args (_let_32)) :args _let_34)) (NOT_OR_ELIM _let_33 :args (7)) :args (_let_32 true _let_31)))) (let ((_let_38 (REFL :args (_let_30)))) (let ((_let_39 (tptp.icext tptp.uri_ex_Clique tptp.uri_ex_JoesGang))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_19))) (let ((_let_42 (forall ((X $$unsorted)) (or (not (tptp.icext tptp.uri_ex_Clique X)) (tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X))))) (let ((_let_43 (and (tptp.ic tptp.uri_ex_Clique) (tptp.ic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_42))) (let ((_let_44 (= _let_28 _let_43))) (let ((_let_45 (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_46 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (_let_42))) (let ((_let_48 (tptp.iext tptp.uri_rdf_type tptp.uri_ex_JoesGang tptp.uri_ex_Clique))) (let ((_let_49 (= _let_48 _let_39))) (let ((_let_50 (_let_10))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 (_let_18))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_15 0)) (CONG (REFL :args (_let_15)) (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_11))) :args _let_34)) :args ((or _let_11 _let_15))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_52)) :args _let_52)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_16))) (REFL :args (_let_17)) :args _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_20)) :args ((or (not _let_19) _let_18 (not _let_20)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_40 _let_19 (not _let_41)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_49)) :args ((or (not _let_48) _let_39 (not _let_49)))) (NOT_NOT_ELIM (NOT_OR_ELIM _let_33 :args (4))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.uri_ex_JoesGang tptp.uri_ex_Clique QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.iext tptp.uri_rdf_type X C)))) :args _let_50)) _let_51 :args (_let_49 false _let_10)) :args (_let_39 false _let_48 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_47) :args (tptp.uri_ex_JoesGang QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.icext tptp.uri_ex_Clique X) false))))) :args _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_43 2)) :args ((or _let_42 (not _let_43)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_44)) :args ((or _let_29 _let_43 (not _let_44)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 0)) (CONG _let_38 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) :args _let_34)) :args ((or _let_28 _let_30))) _let_37 :args (_let_28 true _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.uri_ex_Clique SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.iext tptp.uri_rdfs_subClassOf C1 C2)))) :args (_let_45))) _let_46 :args (_let_44 false _let_45)) :args (_let_43 false _let_28 false _let_44)) :args (_let_42 false _let_43)) :args (_let_41 false _let_42)) :args (_let_19 false _let_39 false _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_22 _let_24 _let_20 (not _let_25)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 2)) (CONG _let_38 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_34)) :args ((or _let_21 _let_30))) _let_37 :args (_let_21 true _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 3)) (CONG _let_38 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_34)) :args ((or _let_23 _let_30))) _let_37 :args (_let_23 true _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.uri_ex_sameCliqueAs tptp.uri_ex_Clique tptp.uri_ex_JoesGang 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_765)))) :args (_let_26))) _let_27 :args (_let_25 false _let_26)) :args (_let_20 false _let_21 false _let_23 false _let_25)) :args (_let_18 false _let_19 false _let_20)) :args (_let_17 true _let_16)) :args (_let_11 true _let_15)))) (let ((_let_54 (tptp.iext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.uri_ex_JoesGang tptp.uri_ex_bob))) (let ((_let_55 (not _let_54))) (let ((_let_56 (not _let_12))) (let ((_let_57 (tptp.iext tptp.uri_rdf_type tptp.uri_ex_alice tptp.uri_ex_JoesGang))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_56 _let_55 _let_2))) (let ((_let_60 (forall ((Y0 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted)) (or (not (tptp.iext tptp.uri_rdf_type Y0 Y1)) (not (tptp.iext tptp.uri_ex_sameCliqueAs Y1 Y2)) (not (tptp.iext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Y2 Y3)) (tptp.iext tptp.uri_foaf_knows Y0 Y3))))) (let ((_let_61 (tptp.ip SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_62 (tptp.ip tptp.uri_ex_sameCliqueAs))) (let ((_let_63 (tptp.ip tptp.uri_rdf_type))) (let ((_let_64 (and (tptp.ip tptp.uri_foaf_knows) _let_63 _let_62 _let_61 _let_60))) (let ((_let_65 (tptp.iext tptp.uri_owl_propertyChainAxiom tptp.uri_foaf_knows SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_66 (= _let_65 _let_64))) (let ((_let_67 (tptp.iext tptp.uri_rdf_rest SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.uri_rdf_nil))) (let ((_let_68 (not _let_67))) (let ((_let_69 (tptp.iext tptp.uri_rdf_first SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_70 (not _let_69))) (let ((_let_71 (tptp.iext tptp.uri_rdf_rest SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_72 (not _let_71))) (let ((_let_73 (tptp.iext tptp.uri_rdf_first SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.uri_ex_sameCliqueAs))) (let ((_let_74 (not _let_73))) (let ((_let_75 (tptp.iext tptp.uri_rdf_rest SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_76 (not _let_75))) (let ((_let_77 (tptp.iext tptp.uri_rdf_first SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.uri_rdf_type))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_78 _let_76 _let_74 _let_72 _let_70 _let_68 _let_66))) (let ((_let_80 (forall ((P $$unsorted) (S1 $$unsorted) (P1 $$unsorted) (S2 $$unsorted) (P2 $$unsorted) (S3 $$unsorted) (P3 $$unsorted)) (or (not (tptp.iext tptp.uri_rdf_first S1 P1)) (not (tptp.iext tptp.uri_rdf_rest S1 S2)) (not (tptp.iext tptp.uri_rdf_first S2 P2)) (not (tptp.iext tptp.uri_rdf_rest S2 S3)) (not (tptp.iext tptp.uri_rdf_first S3 P3)) (not (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)) (or (not (tptp.iext P1 Y0 Y1)) (not (tptp.iext P2 Y1 Y2)) (not (tptp.iext P3 Y2 Y3)) (tptp.iext P Y0 Y3))))))))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (tptp.iext tptp.uri_owl_inverseOf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.uri_rdf_type))) (let ((_let_83 (not _let_82))) (let ((_let_84 (not _let_65))) (let ((_let_85 (or _let_84 _let_78 _let_76 _let_74 _let_72 _let_70 _let_68 _let_83))) (let ((_let_86 (forall ((BNODE_l1 $$unsorted) (BNODE_l2 $$unsorted) (BNODE_l3 $$unsorted) (BNODE_i $$unsorted)) (or (not (tptp.iext tptp.uri_owl_propertyChainAxiom tptp.uri_foaf_knows BNODE_l1)) (not (tptp.iext tptp.uri_rdf_first BNODE_l1 tptp.uri_rdf_type)) (not (tptp.iext tptp.uri_rdf_rest BNODE_l1 BNODE_l2)) (not (tptp.iext tptp.uri_rdf_first BNODE_l2 tptp.uri_ex_sameCliqueAs)) (not (tptp.iext tptp.uri_rdf_rest BNODE_l2 BNODE_l3)) (not (tptp.iext tptp.uri_rdf_first BNODE_l3 BNODE_i)) (not (tptp.iext tptp.uri_rdf_rest BNODE_l3 tptp.uri_rdf_nil)) (not (tptp.iext tptp.uri_owl_inverseOf BNODE_i tptp.uri_rdf_type)))))) (let ((_let_87 (not _let_85))) (let ((_let_88 (not _let_86))) (let ((_let_89 (_let_88))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_89)) :args _let_89)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_86))) (REFL :args (_let_87)) :args _let_34)) (NOT_OR_ELIM _let_33 :args (8)) :args (_let_87 true _let_86)))) (let ((_let_91 (REFL :args (_let_85)))) (let ((_let_92 (_let_60))) (let ((_let_93 (tptp.iext tptp.uri_rdf_type tptp.uri_ex_bob tptp.uri_ex_JoesGang))) (let ((_let_94 (= _let_93 _let_54))) (let ((_let_95 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 X Y) (tptp.iext tptp.uri_rdf_type Y X))))) (let ((_let_96 (and _let_61 _let_63 _let_95))) (let ((_let_97 (= _let_82 _let_96))) (let ((_let_98 (_let_4))) (let ((_let_99 (ASSUME :args _let_98))) (let ((_let_100 (_let_95))) (let ((_let_101 (tptp.iext tptp.uri_owl_sameAs tptp.uri_ex_JoesGang SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_102 (= _let_101 _let_13))) (let ((_let_103 (_let_6))) (let ((_let_104 (ASSUME :args _let_103))) (let ((_let_105 (or _let_14 _let_101))) (let ((_let_106 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_sameCliqueAs X Y)) (tptp.iext tptp.uri_owl_sameAs X Y))))) (let ((_let_107 (and _let_62 (tptp.ip tptp.uri_owl_sameAs) _let_106))) (let ((_let_108 (tptp.iext tptp.uri_rdfs_subPropertyOf tptp.uri_ex_sameCliqueAs tptp.uri_owl_sameAs))) (let ((_let_109 (= _let_108 _let_107))) (let ((_let_110 (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)) (or (not (tptp.iext P1 X Y)) (tptp.iext P2 X Y)))))))) (let ((_let_111 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_112 (_let_106))) (let ((_let_113 (ASSUME :args (_let_56)))) (let ((_let_114 (ASSUME :args (_let_13)))) (let ((_let_115 (ASSUME :args (_let_11)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_113 _let_114 _let_115) :args (_let_11 _let_56 _let_13)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_115)) (CONG (REFL :args (tptp.uri_ex_sameCliqueAs)) (REFL :args (tptp.uri_ex_JoesGang)) (SYMM _let_114) :args (APPLY_UF tptp.iext)) (FALSE_INTRO _let_113))) :args (_let_56 _let_13 _let_11)) :args ((not (and _let_11 _let_56 _let_13)) SB_LITERAL))) (CONG (REFL :args (_let_14)) (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_12))) (REFL :args ((not _let_13))) :args _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_102)) :args ((or (not _let_101) _let_13 (not _let_102)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_14 _let_101 (not _let_105)))) _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_112) :args (tptp.uri_ex_JoesGang SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.iext tptp.uri_ex_sameCliqueAs X Y) false))))) :args _let_112)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_107 2)) :args ((or _let_106 (not _let_107)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_109)) :args ((or (not _let_108) _let_107 (not _let_109)))) (NOT_NOT_ELIM (NOT_OR_ELIM _let_33 :args (1))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.uri_ex_sameCliqueAs tptp.uri_owl_sameAs QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.iext tptp.uri_rdfs_subPropertyOf P1 P2)))) :args (_let_110))) _let_111 :args (_let_109 false _let_110)) :args (_let_107 false _let_108 false _let_109)) :args (_let_106 false _let_107)) :args (_let_105 false _let_106)) :args (_let_101 false _let_11 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.uri_ex_JoesGang SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.iext tptp.uri_owl_sameAs X Y)))) :args _let_103)) _let_104 :args (_let_102 false _let_6)) :args (_let_13 false _let_101 false _let_102)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_2 _let_58 _let_55 _let_56 (not _let_59)))) (ASSUME :args (_let_3)) (NOT_NOT_ELIM (NOT_OR_ELIM _let_33 :args (5))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_94)) :args ((or (not _let_93) _let_54 (not _let_94)))) (NOT_NOT_ELIM (NOT_OR_ELIM _let_33 :args (6))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_100) :args (tptp.uri_ex_JoesGang tptp.uri_ex_bob QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.iext tptp.uri_rdf_type Y X)))) :args _let_100))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_96 2)) :args ((or _let_95 (not _let_96)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_97)) :args ((or _let_83 _let_96 (not _let_97)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_85 7)) (CONG _let_91 (MACRO_SR_PRED_INTRO :args ((= (not _let_83) _let_82))) :args _let_34)) :args ((or _let_82 _let_85))) _let_90 :args (_let_82 true _let_85)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.uri_rdf_type QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.iext tptp.uri_owl_inverseOf P1 P2)))) :args _let_98)) _let_99 :args (_let_97 false _let_4)) :args (_let_96 false _let_82 false _let_97)) :args (_let_95 false _let_96)) :args (_let_94 false _let_95)) :args (_let_54 false _let_93 false _let_94)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_92) :args (tptp.uri_ex_alice tptp.uri_ex_JoesGang tptp.uri_ex_JoesGang tptp.uri_ex_bob QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.iext tptp.uri_rdf_type Y0 Y1) false)) (not (= (tptp.iext 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_let_34)) :args ((or _let_67 _let_85))) _let_90 :args (_let_67 true _let_85)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.uri_foaf_knows SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.uri_rdf_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.uri_ex_sameCliqueAs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.iext tptp.uri_rdf_first S1 P1) false)) (not (= (tptp.iext tptp.uri_rdf_first S2 P2) false)) (not (= (tptp.iext tptp.uri_rdf_first S3 P3) false)) (tptp.iext tptp.uri_owl_propertyChainAxiom P S1)))) :args (_let_80))) _let_81 :args (_let_79 false _let_80)) :args (_let_66 false _let_77 false _let_75 false _let_73 false _let_71 false _let_69 false _let_67 false _let_79)) :args (_let_64 false _let_65 false _let_66)) :args (_let_60 false _let_64)) :args (_let_59 false _let_60)) :args (_let_56 true _let_2 false _let_57 false _let_54 false _let_59)) _let_53 :args (false false _let_13 true _let_12 false _let_11)) :args (_let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.60  )
% 0.20/0.60  % SZS output end Proof for SWB013+2
% 0.20/0.60  % cvc5---1.0.5 exiting
% 0.20/0.60  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------