TSTP Solution File: SWB012+3 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWB012+3 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n001.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 41.15s 41.47s
% Output   : Proof 41.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SWB012+3 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n001.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sun Aug 27 07:19:47 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.20/0.50  %----Proving TF0_NAR, FOF, or CNF
% 41.15/41.47  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.uq9cFMQkot/cvc5---1.0.5_4133.p...
% 41.15/41.47  ------- get file name : TPTP file name is SWB012+3
% 41.15/41.47  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_4133.smt2...
% 41.15/41.47  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 41.15/41.47  --- Run --no-e-matching --full-saturate-quant at 5...
% 41.15/41.47  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 41.15/41.47  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 41.15/41.47  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 41.15/41.47  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 41.15/41.47  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 41.15/41.47  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 41.15/41.47  % SZS status Theorem for SWB012+3
% 41.15/41.47  % SZS output start Proof for SWB012+3
% 41.15/41.47  (
% 41.15/41.47  (let ((_let_1 (exists ((BNODE_l1 $$unsorted) (BNODE_l2 $$unsorted) (BNODE_l3 $$unsorted) (BNODE_r $$unsorted)) (and (tptp.iext tptp.uri_rdf_type tptp.uri_foaf_Person tptp.uri_owl_Class) (tptp.iext tptp.uri_owl_intersectionOf tptp.uri_ex_PersonAttribute BNODE_l1) (tptp.iext tptp.uri_rdf_first BNODE_l1 tptp.uri_owl_DatatypeProperty) (tptp.iext tptp.uri_rdf_rest BNODE_l1 BNODE_l2) (tptp.iext tptp.uri_rdf_first BNODE_l2 tptp.uri_owl_FunctionalProperty) (tptp.iext tptp.uri_rdf_rest BNODE_l2 BNODE_l3) (tptp.iext tptp.uri_rdf_first BNODE_l3 BNODE_r) (tptp.iext tptp.uri_rdf_rest BNODE_l3 tptp.uri_rdf_nil) (tptp.iext tptp.uri_rdf_type BNODE_r tptp.uri_owl_Restriction) (tptp.iext tptp.uri_owl_onProperty BNODE_r tptp.uri_rdfs_domain) (tptp.iext tptp.uri_owl_hasValue BNODE_r tptp.uri_foaf_Person) (tptp.iext tptp.uri_rdf_type tptp.uri_ex_name tptp.uri_ex_PersonAttribute) (tptp.iext tptp.uri_ex_name tptp.uri_ex_alice (tptp.literal_plain tptp.dat_str_alice)))))) (let ((_let_2 (tptp.iext tptp.uri_rdf_type tptp.uri_ex_alice tptp.uri_foaf_Person))) (let ((_let_3 (tptp.iext tptp.uri_rdf_type tptp.uri_ex_name tptp.uri_owl_FunctionalProperty))) (let ((_let_4 (not (and _let_3 _let_2)))) (let ((_let_5 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_predicate tptp.uri_rdfs_Resource))) (let ((_let_6 (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))))) (let ((_let_7 (forall ((X $$unsorted) (C $$unsorted)) (= (tptp.iext tptp.uri_rdf_type X C) (tptp.icext C X))))) (let ((_let_8 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_type tptp.uri_rdf_Property))) (let ((_let_9 (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))))))) (let ((_let_10 (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)))))))))) (let ((_let_11 (forall ((P $$unsorted) (C $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_rdfs_domain P C)) (not (tptp.iext P X Y)) (tptp.icext C X))))) (let ((_let_12 (tptp.icext tptp.uri_foaf_Person tptp.uri_ex_alice))) (let ((_let_13 (tptp.literal_plain tptp.dat_str_alice))) (let ((_let_14 (tptp.iext tptp.uri_ex_name tptp.uri_ex_alice _let_13))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.iext tptp.uri_rdfs_domain tptp.uri_ex_name tptp.uri_foaf_Person))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_15 _let_12))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (not _let_18))) (let ((_let_21 (tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.uri_ex_name))) (let ((_let_22 (= _let_21 _let_16))) (let ((_let_23 (tptp.iext tptp.uri_owl_onProperty SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.uri_rdfs_domain))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.iext tptp.uri_owl_hasValue SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.uri_foaf_Person))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24 _let_22))) (let ((_let_28 (forall ((Z $$unsorted) (P $$unsorted) (A $$unsorted) (BOUND_VARIABLE_1792 $$unsorted)) (or (not (tptp.iext tptp.uri_owl_hasValue Z A)) (not (tptp.iext tptp.uri_owl_onProperty Z P)) (= (tptp.icext Z BOUND_VARIABLE_1792) (tptp.iext P BOUND_VARIABLE_1792 A)))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (tptp.iext tptp.uri_rdf_rest SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.uri_rdf_nil))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.iext tptp.uri_rdf_first SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.iext tptp.uri_rdf_rest SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.iext tptp.uri_rdf_first SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.uri_owl_FunctionalProperty))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.iext tptp.uri_rdf_rest SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.iext tptp.uri_rdf_first SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.uri_owl_DatatypeProperty))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.iext tptp.uri_owl_intersectionOf tptp.uri_ex_PersonAttribute SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_41 _let_39 _let_37 _let_35 _let_33 _let_31 (not (tptp.iext tptp.uri_rdf_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.uri_owl_Restriction)) _let_24 _let_26))) (let ((_let_45 (forall ((BNODE_l1 $$unsorted) (BNODE_l2 $$unsorted) (BNODE_l3 $$unsorted) (BNODE_r $$unsorted)) (or (not (tptp.iext tptp.uri_owl_intersectionOf tptp.uri_ex_PersonAttribute BNODE_l1)) (not (tptp.iext tptp.uri_rdf_first BNODE_l1 tptp.uri_owl_DatatypeProperty)) (not (tptp.iext tptp.uri_rdf_rest BNODE_l1 BNODE_l2)) (not (tptp.iext tptp.uri_rdf_first BNODE_l2 tptp.uri_owl_FunctionalProperty)) (not (tptp.iext tptp.uri_rdf_rest BNODE_l2 BNODE_l3)) (not (tptp.iext tptp.uri_rdf_first BNODE_l3 BNODE_r)) (not (tptp.iext tptp.uri_rdf_rest BNODE_l3 tptp.uri_rdf_nil)) (not (tptp.iext tptp.uri_rdf_type BNODE_r tptp.uri_owl_Restriction)) (not (tptp.iext tptp.uri_owl_onProperty BNODE_r tptp.uri_rdfs_domain)) (not (tptp.iext tptp.uri_owl_hasValue BNODE_r tptp.uri_foaf_Person)))))) (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 (_let_49))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_50)) :args _let_50)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_45))) (REFL :args (_let_46)) :args _let_48)) (NOT_OR_ELIM _let_47 :args (3)) :args (_let_46 true _let_45)))) (let ((_let_52 (REFL :args (_let_44)))) (let ((_let_53 (tptp.icext tptp.uri_owl_FunctionalProperty tptp.uri_ex_name))) (let ((_let_54 (and (tptp.icext tptp.uri_owl_DatatypeProperty tptp.uri_ex_name) _let_53 _let_21))) (let ((_let_55 (tptp.icext tptp.uri_ex_PersonAttribute tptp.uri_ex_name))) (let ((_let_56 (= _let_55 _let_54))) (let ((_let_57 (forall ((X $$unsorted)) (= (tptp.icext tptp.uri_ex_PersonAttribute X) (and (tptp.icext tptp.uri_owl_DatatypeProperty X) (tptp.icext tptp.uri_owl_FunctionalProperty X) (tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 X)))))) (let ((_let_58 (and (tptp.ic tptp.uri_ex_PersonAttribute) (tptp.ic tptp.uri_owl_DatatypeProperty) (tptp.ic tptp.uri_owl_FunctionalProperty) (tptp.ic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) _let_57))) (let ((_let_59 (= _let_42 _let_58))) (let ((_let_60 (or _let_41 _let_39 _let_37 _let_35 _let_33 _let_31 _let_59))) (let ((_let_61 (forall ((Z $$unsorted) (S1 $$unsorted) (C1 $$unsorted) (S2 $$unsorted) (C2 $$unsorted) (S3 $$unsorted) (C3 $$unsorted)) (or (not (tptp.iext tptp.uri_rdf_first S1 C1)) (not (tptp.iext tptp.uri_rdf_rest S1 S2)) (not (tptp.iext tptp.uri_rdf_first S2 C2)) (not (tptp.iext tptp.uri_rdf_rest S2 S3)) (not (tptp.iext tptp.uri_rdf_first S3 C3)) (not (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)))))))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (_let_57))) (let ((_let_64 (tptp.iext tptp.uri_rdf_type tptp.uri_ex_name tptp.uri_ex_PersonAttribute))) (let ((_let_65 (= _let_64 _let_55))) (let ((_let_66 (_let_7))) (let ((_let_67 (ASSUME :args _let_66))) (let ((_let_68 ((tptp.iext tptp.uri_rdf_type X C)))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_56)) :args ((or (not _let_55) _let_54 (not _let_56)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_65)) :args ((or (not _let_64) _let_55 (not _let_65)))) (NOT_NOT_ELIM (NOT_OR_ELIM _let_47 :args (1))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.uri_ex_name tptp.uri_ex_PersonAttribute QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_68)) :args _let_66)) _let_67 :args (_let_65 false _let_7)) :args (_let_55 false _let_64 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_63) :args (tptp.uri_ex_name QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_63)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_58 4)) :args ((or _let_57 (not _let_58)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_59)) :args ((or _let_43 _let_58 (not _let_59)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 0)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) :args _let_48)) :args ((or _let_42 _let_44))) _let_51 :args (_let_42 true _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_41 _let_39 _let_37 _let_35 _let_33 _let_31 _let_59 (not _let_60)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 1)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_48)) :args ((or _let_40 _let_44))) _let_51 :args (_let_40 true _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 2)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_38))) :args _let_48)) :args ((or _let_38 _let_44))) _let_51 :args (_let_38 true _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 3)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_36))) :args _let_48)) :args ((or _let_36 _let_44))) _let_51 :args (_let_36 true _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 4)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_48)) :args ((or _let_34 _let_44))) _let_51 :args (_let_34 true _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 5)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_48)) :args ((or _let_32 _let_44))) _let_51 :args (_let_32 true _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 6)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_48)) :args ((or _let_30 _let_44))) _let_51 :args (_let_30 true _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.uri_ex_PersonAttribute SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.uri_owl_DatatypeProperty SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.uri_owl_FunctionalProperty SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_MT ((not (= (tptp.iext tptp.uri_rdf_first S1 C1) false)) (not (= (tptp.iext tptp.uri_rdf_first S2 C2) false)) (not (= (tptp.iext tptp.uri_rdf_first S3 C3) false)) (tptp.iext tptp.uri_owl_intersectionOf Z S1)))) :args (_let_61))) _let_62 :args (_let_60 false _let_61)) :args (_let_59 false _let_40 false _let_38 false _let_36 false _let_34 false _let_32 false _let_30 false _let_60)) :args (_let_58 false _let_42 false _let_59)) :args (_let_57 false _let_58)) :args (_let_56 false _let_57)) :args (_let_54 false _let_55 false _let_56)))) (let ((_let_70 (not _let_54))) (let ((_let_71 (= _let_2 _let_12))) (let ((_let_72 (not _let_12))) (let ((_let_73 (= _let_3 _let_53))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.uri_ex_name tptp.uri_foaf_Person tptp.uri_ex_alice _let_13 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_11))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_15 _let_12 _let_17 _let_20))) (NOT_NOT_ELIM (NOT_OR_ELIM _let_47 :args (2))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_71)) :args ((or _let_2 _let_72 (not _let_71)))) (MACRO_RESOLUTION_TRUST (NOT_AND (ASSUME :args (_let_4))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_73)) :args ((or _let_3 (not _let_53) (not _let_73)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_54 1)) :args ((or _let_53 _let_70))) _let_69 :args (_let_53 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.uri_ex_name tptp.uri_owl_FunctionalProperty QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_68)) :args _let_66)) _let_67 :args (_let_73 false _let_7)) :args (_let_3 false _let_53 false _let_73)) :args ((not _let_2) false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.uri_ex_alice tptp.uri_foaf_Person QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_68)) :args _let_66)) _let_67 :args (_let_71 false _let_7)) :args (_let_72 true _let_2 false _let_71)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_22)) :args ((or (not _let_21) _let_16 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_54 2)) :args ((or _let_21 _let_70))) _let_69 :args (_let_21 false _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_24 _let_26 _let_22 (not _let_27)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 8)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_48)) :args ((or _let_23 _let_44))) _let_51 :args (_let_23 true _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 9)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_48)) :args ((or _let_25 _let_44))) _let_51 :args (_let_25 true _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.uri_rdfs_domain tptp.uri_foaf_Person tptp.uri_ex_name QUANTIFIERS_INST_E_MATCHING_MT ((not (= (tptp.iext tptp.uri_owl_hasValue Z A) false)) (not (= (tptp.iext tptp.uri_owl_onProperty Z P) false)) (tptp.icext Z BOUND_VARIABLE_1792)))) :args (_let_28))) _let_29 :args (_let_27 false _let_28)) :args (_let_22 false _let_23 false _let_25 false _let_27)) :args (_let_16 false _let_21 false _let_22)) :args (_let_20 false _let_14 true _let_12 false _let_16)) _let_19 :args (false true _let_18 false _let_11)) :args ((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 $$unsorted)) (= (tptp.iext tptp.uri_owl_intersectionOf Z tptp.uri_rdf_nil) (and (tptp.ic Z) (forall ((X $$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)))))))) _let_10 (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 ((X $$unsorted)) (not (tptp.icext tptp.uri_owl_Nothing X))) (tptp.ic tptp.uri_owl_Nothing) (forall ((X $$unsorted)) (= (tptp.icext tptp.uri_owl_Thing X) (tptp.ir X))) (tptp.ic tptp.uri_owl_Thing) (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 $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_allValuesFrom X Y) (and (tptp.icext tptp.uri_owl_Restriction X) (tptp.ic Y)))) (tptp.ip tptp.uri_owl_allValuesFrom) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext tptp.uri_owl_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_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_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_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_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_unionOf X Y) (and (tptp.ic X) (tptp.icext tptp.uri_rdf_List Y)))) (tptp.ip tptp.uri_owl_unionOf) (forall ((P $$unsorted) (C $$unsorted)) (= (tptp.iext tptp.uri_rdfs_domain P C) (and (tptp.ip P) (tptp.ic C) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext P X Y) (tptp.icext C X)))))) (forall ((P $$unsorted) (C $$unsorted)) (= (tptp.iext tptp.uri_rdfs_range P C) (and (tptp.ip P) (tptp.ip C) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext P X Y) (tptp.icext C Y)))))) (forall ((C1 $$unsorted) (C2 $$unsorted)) (= (tptp.iext tptp.uri_rdfs_subClassOf C1 C2) (and (tptp.ic C1) (tptp.ic C2) (forall ((X $$unsorted)) (=> (tptp.icext C1 X) (tptp.icext C2 X)))))) (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_rdfs_subPropertyOf P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.iext P1 X Y) (tptp.iext P2 X Y)))))) (forall ((Z $$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))))))) _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 $$unsorted)) (and (tptp.iext P X Y) (tptp.icext C Y))))))) (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_first tptp.uri_rdf_Property) (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_nil tptp.uri_rdf_List) (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_rest tptp.uri_rdf_Property) (tptp.iext tptp.uri_rdf_type tptp.uri_rdf__1 tptp.uri_rdf_Property) (tptp.iext tptp.uri_rdf_type tptp.uri_rdf__2 tptp.uri_rdf_Property) (tptp.iext tptp.uri_rdf_type tptp.uri_rdf__3 tptp.uri_rdf_Property) (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_object tptp.uri_rdf_Property) (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_value tptp.uri_rdf_Property) (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_subject tptp.uri_rdf_Property) (forall ((P $$unsorted)) (= (tptp.iext tptp.uri_rdf_type P tptp.uri_rdf_Property) (tptp.ip P))) _let_8 _let_8 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_comment tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_comment tptp.uri_rdfs_Literal) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_isDefinedBy tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_isDefinedBy tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_subPropertyOf tptp.uri_rdfs_isDefinedBy tptp.uri_rdfs_seeAlso) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_label tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_label tptp.uri_rdfs_Literal) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_seeAlso tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_seeAlso tptp.uri_rdfs_Resource) _let_7 (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 $$unsorted)) (=> (tptp.icext tptp.uri_rdfs_Datatype D) (tptp.iext tptp.uri_rdfs_subClassOf D tptp.uri_rdfs_Literal))) (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_rdfs_Datatype tptp.uri_rdfs_Class) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_domain tptp.uri_rdf_Property) _let_6 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_domain tptp.uri_rdfs_Class) (forall ((X $$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_5 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_predicate tptp.uri_rdfs_Statement) _let_5 (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 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdfs_subPropertyOf P Q) (tptp.iext tptp.uri_rdfs_subPropertyOf Q R)) (tptp.iext tptp.uri_rdfs_subPropertyOf P R))) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_type tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_type tptp.uri_rdfs_Class) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_value tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_value tptp.uri_rdfs_Resource) (forall ((S $$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))) _let_4 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 41.15/41.48  )
% 41.15/41.48  % SZS output end Proof for SWB012+3
% 41.15/41.48  % cvc5---1.0.5 exiting
% 41.15/41.48  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------