TSTP Solution File: SWB029+3 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWB029+3 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n009.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 20:02:54 EDT 2023

% Result   : Theorem 26.55s 26.83s
% Output   : Proof 26.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWB029+3 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sun Aug 27 06:53:05 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 26.55/26.83  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.X9FGmYNpRu/cvc5---1.0.5_26626.p...
% 26.55/26.83  ------- get file name : TPTP file name is SWB029+3
% 26.55/26.83  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_26626.smt2...
% 26.55/26.83  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 26.55/26.83  --- Run --no-e-matching --full-saturate-quant at 5...
% 26.55/26.83  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 26.55/26.83  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 26.55/26.83  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.55/26.83  % SZS status Theorem for SWB029+3
% 26.55/26.83  % SZS output start Proof for SWB029+3
% 26.55/26.83  (
% 26.55/26.83  (let ((_let_1 (exists ((BNODE_x $$unsorted) (BNODE_y $$unsorted) (BNODE_l1 $$unsorted) (BNODE_l2 $$unsorted)) (and (tptp.iext tptp.uri_rdf_type tptp.uri_ex_A tptp.uri_owl_Class) (tptp.iext tptp.uri_rdf_type tptp.uri_ex_B tptp.uri_owl_Class) (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w BNODE_x) (tptp.iext tptp.uri_owl_intersectionOf BNODE_x BNODE_l1) (tptp.iext tptp.uri_rdf_first BNODE_l1 tptp.uri_ex_A) (tptp.iext tptp.uri_rdf_rest BNODE_l1 BNODE_l2) (tptp.iext tptp.uri_rdf_first BNODE_l2 BNODE_y) (tptp.iext tptp.uri_rdf_rest BNODE_l2 tptp.uri_rdf_nil) (tptp.iext tptp.uri_owl_complementOf BNODE_y tptp.uri_ex_A))))) (let ((_let_2 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_predicate tptp.uri_rdfs_Resource))) (let ((_let_3 (forall ((X $$unsorted) (C $$unsorted)) (= (tptp.iext tptp.uri_rdf_type X C) (tptp.icext C X))))) (let ((_let_4 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_type tptp.uri_rdf_Property))) (let ((_let_5 (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 ((_let_6 (forall ((Z $$unsorted) (C $$unsorted)) (=> (tptp.iext tptp.uri_owl_complementOf Z C) (and (tptp.ic Z) (tptp.ic C) (forall ((X $$unsorted)) (= (tptp.icext Z X) (not (tptp.icext C X))))))))) (let ((_let_7 (tptp.iext tptp.uri_owl_complementOf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.uri_ex_A))) (let ((_let_8 (tptp.icext tptp.uri_ex_A tptp.uri_ex_w))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.uri_ex_w))) (let ((_let_11 (= _let_10 _let_9))) (let ((_let_12 (tptp.ic tptp.uri_ex_A))) (let ((_let_13 (tptp.ic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_14 (and _let_13 _let_12 _let_11))) (let ((_let_15 (not _let_7))) (let ((_let_16 (or _let_15 _let_14))) (let ((_let_17 (tptp.iext tptp.uri_rdf_rest SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.uri_rdf_nil))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.iext tptp.uri_rdf_first SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.iext tptp.uri_rdf_rest SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.iext tptp.uri_rdf_first SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.uri_ex_A))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.iext tptp.uri_owl_intersectionOf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_26 _let_24 _let_22 _let_20 _let_18 _let_15))) (let ((_let_30 (forall ((BNODE_x $$unsorted) (BNODE_l1 $$unsorted) (BNODE_l2 $$unsorted) (BNODE_y $$unsorted)) (or (not (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w BNODE_x)) (not (tptp.iext tptp.uri_owl_intersectionOf BNODE_x BNODE_l1)) (not (tptp.iext tptp.uri_rdf_first BNODE_l1 tptp.uri_ex_A)) (not (tptp.iext tptp.uri_rdf_rest BNODE_l1 BNODE_l2)) (not (tptp.iext tptp.uri_rdf_first BNODE_l2 BNODE_y)) (not (tptp.iext tptp.uri_rdf_rest BNODE_l2 tptp.uri_rdf_nil)) (not (tptp.iext tptp.uri_owl_complementOf BNODE_y tptp.uri_ex_A)))))) (let ((_let_31 (not _let_29))) (let ((_let_32 (or))) (let ((_let_33 (not _let_30))) (let ((_let_34 (_let_33))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_34)) :args _let_34)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_30))) (REFL :args (_let_31)) :args _let_32)) (NOT_OR_ELIM (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args (2)) :args (_let_31 true _let_30)))) (let ((_let_36 (REFL :args (_let_29)))) (let ((_let_37 (forall ((Z $$unsorted) (C $$unsorted) (BOUND_VARIABLE_1456 $$unsorted)) (or (not (tptp.iext tptp.uri_owl_complementOf Z C)) (and (tptp.ic Z) (tptp.ic C) (= (tptp.icext Z BOUND_VARIABLE_1456) (not (tptp.icext C BOUND_VARIABLE_1456)))))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (not _let_14))) (let ((_let_40 (not _let_11))) (let ((_let_41 (and _let_8 _let_10))) (let ((_let_42 (tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.uri_ex_w))) (let ((_let_43 (= _let_42 _let_41))) (let ((_let_44 (forall ((X $$unsorted)) (= (tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X) (and (tptp.icext tptp.uri_ex_A X) (tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 X)))))) (let ((_let_45 (and (tptp.ic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_12 _let_13 _let_44))) (let ((_let_46 (= _let_25 _let_45))) (let ((_let_47 (or _let_24 _let_22 _let_20 _let_18 _let_46))) (let ((_let_48 (forall ((Z $$unsorted) (S1 $$unsorted) (C1 $$unsorted) (S2 $$unsorted) (C2 $$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 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 ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (_let_44))) (let ((_let_51 (= _let_27 _let_42))) (let ((_let_52 (_let_3))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_43)) :args ((or (not _let_42) _let_41 (not _let_43)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_51)) :args ((or _let_28 _let_42 (not _let_51)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 0)) (CONG _let_36 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_32)) :args ((or _let_27 _let_29))) _let_35 :args (_let_27 true _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.uri_ex_w SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.iext tptp.uri_rdf_type X C)))) :args _let_52)) _let_53 :args (_let_51 false _let_3)) :args (_let_42 false _let_27 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_50) :args (tptp.uri_ex_w QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X)))) :args _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_45 3)) :args ((or _let_44 (not _let_45)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_46)) :args ((or _let_26 _let_45 (not _let_46)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 1)) (CONG _let_36 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_32)) :args ((or _let_25 _let_29))) _let_35 :args (_let_25 true _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_24 _let_22 _let_20 _let_18 _let_46 (not _let_47)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 2)) (CONG _let_36 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_32)) :args ((or _let_23 _let_29))) _let_35 :args (_let_23 true _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 3)) (CONG _let_36 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_32)) :args ((or _let_21 _let_29))) _let_35 :args (_let_21 true _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 4)) (CONG _let_36 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_32)) :args ((or _let_19 _let_29))) _let_35 :args (_let_19 true _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 5)) (CONG _let_36 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_32)) :args ((or _let_17 _let_29))) _let_35 :args (_let_17 true _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.uri_ex_A SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_48))) _let_49 :args (_let_47 false _let_48)) :args (_let_46 false _let_23 false _let_21 false _let_19 false _let_17 false _let_47)) :args (_let_45 false _let_25 false _let_46)) :args (_let_44 false _let_45)) :args (_let_43 false _let_44)) :args (_let_41 false _let_42 false _let_43)))) (let ((_let_55 (not _let_41))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_15 _let_14 (not _let_16)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_14 2)) :args ((or _let_11 _let_39))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_11)) :args ((or _let_9 (not _let_10) _let_40))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_41 0)) :args ((or _let_8 _let_55))) _let_54 :args (_let_8 false _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_41 1)) :args ((or _let_10 _let_55))) _let_54 :args (_let_10 false _let_41)) :args (_let_40 false _let_8 false _let_10)) :args (_let_39 true _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.uri_ex_A tptp.uri_ex_w QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_37))) _let_38 :args (_let_16 false _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 6)) (CONG _let_36 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_7))) :args _let_32)) :args ((or _let_7 _let_29))) _let_35 :args (_let_7 true _let_29)) :args (false true _let_14 false _let_16 false _let_7)) :args (_let_6 (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 $$unsorted)) (= (tptp.icext Z X) (tptp.icext C1 X))))))) _let_5 (forall ((Z $$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)) (= (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 $$unsorted)) (=> (tptp.iext P X Y) (tptp.icext C Y))))))) (forall ((Z $$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 $$unsorted) (C $$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 $$unsorted)) (= (tptp.iext tptp.uri_rdf_type P tptp.uri_rdf_Property) (tptp.ip P))) _let_4 _let_4 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_comment tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_comment tptp.uri_rdfs_Literal) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_isDefinedBy tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_isDefinedBy tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_subPropertyOf tptp.uri_rdfs_isDefinedBy tptp.uri_rdfs_seeAlso) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_label tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_label tptp.uri_rdfs_Literal) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_seeAlso tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_seeAlso tptp.uri_rdfs_Resource) _let_3 (forall ((C $$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 $$unsorted)) (=> (and (tptp.iext tptp.uri_rdfs_range P C) (tptp.iext P X Y)) (tptp.icext C Y))) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_range tptp.uri_rdfs_Class) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_object tptp.uri_rdfs_Statement) _let_2 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_predicate tptp.uri_rdfs_Statement) _let_2 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_subject tptp.uri_rdfs_Statement) (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_subject tptp.uri_rdfs_Resource) (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_subClassOf tptp.uri_rdfs_Class) (forall ((C $$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))) (not (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w tptp.uri_ex_B)) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.55/26.84  )
% 26.55/26.84  % SZS output end Proof for SWB029+3
% 26.55/26.84  % cvc5---1.0.5 exiting
% 26.55/26.84  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------