TSTP Solution File: SWB024+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWB024+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 20:02:49 EDT 2023
% Result : Theorem 0.20s 0.53s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWB024+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n025.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
% 0.14/0.35 % DateTime : Sun Aug 27 06:32:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.53 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.j4cPS9YzLo/cvc5---1.0.5_24093.p...
% 0.20/0.53 ------- get file name : TPTP file name is SWB024+2
% 0.20/0.53 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24093.smt2...
% 0.20/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53 % SZS status Theorem for SWB024+2
% 0.20/0.53 % SZS output start Proof for SWB024+2
% 0.20/0.53 (
% 0.20/0.53 (let ((_let_1 (exists ((BNODE_z $$unsorted)) (and (tptp.iext tptp.uri_rdf_type tptp.uri_ex_hasAncestor tptp.uri_owl_TransitiveProperty) (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_ex_Person BNODE_z) (tptp.iext tptp.uri_rdf_type BNODE_z tptp.uri_owl_Restriction) (tptp.iext tptp.uri_owl_onProperty BNODE_z tptp.uri_ex_hasAncestor) (tptp.iext tptp.uri_owl_minCardinality BNODE_z (tptp.literal_typed tptp.dat_str_1 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_rdf_type tptp.uri_ex_alice tptp.uri_ex_Person) (tptp.iext tptp.uri_rdf_type tptp.uri_ex_bob tptp.uri_ex_Person) (tptp.iext tptp.uri_ex_hasAncestor tptp.uri_ex_alice tptp.uri_ex_bob))))) (let ((_let_2 (not (exists ((BNODE_x $$unsorted)) (and (tptp.iext tptp.uri_ex_hasAncestor tptp.uri_ex_bob BNODE_x) (tptp.iext tptp.uri_ex_hasAncestor tptp.uri_ex_alice BNODE_x)))))) (let ((_let_3 (forall ((P $$unsorted)) (= (tptp.icext tptp.uri_owl_TransitiveProperty P) (and (tptp.ip P) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.iext P X Y) (tptp.iext P Y Z)) (tptp.iext P X Z)))))))) (let ((_let_4 (forall ((C1 $$unsorted) (C2 $$unsorted)) (= (tptp.iext tptp.uri_rdfs_subClassOf C1 C2) (and (tptp.ic C1) (tptp.ic C2) (forall ((X $$unsorted)) (=> (tptp.icext C1 X) (tptp.icext C2 X)))))))) (let ((_let_5 (forall ((Z $$unsorted) (P $$unsorted)) (=> (and (tptp.iext tptp.uri_owl_minCardinality Z (tptp.literal_typed tptp.dat_str_1 tptp.uri_xsd_nonNegativeInteger)) (tptp.iext tptp.uri_owl_onProperty Z P)) (forall ((X $$unsorted)) (= (tptp.icext Z X) (exists ((Y $$unsorted)) (tptp.iext P X Y)))))))) (let ((_let_6 (forall ((X $$unsorted) (C $$unsorted)) (= (tptp.iext tptp.uri_rdf_type X C) (tptp.icext C X))))) (let ((_let_7 (tptp.iext tptp.uri_ex_hasAncestor tptp.uri_ex_alice tptp.uri_ex_bob))) (let ((_let_8 (tptp.iext tptp.uri_ex_hasAncestor tptp.uri_ex_bob SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_9 (tptp.iext tptp.uri_ex_hasAncestor tptp.uri_ex_alice SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_10 (not _let_8))) (let ((_let_11 (not _let_7))) (let ((_let_12 (or _let_11 _let_10 _let_9))) (let ((_let_13 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_14 (forall ((Y $$unsorted)) (not (tptp.iext tptp.uri_ex_hasAncestor tptp.uri_ex_bob Y))))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.uri_ex_bob))) (let ((_let_17 (= _let_16 _let_15))) (let ((_let_18 (tptp.iext tptp.uri_owl_onProperty SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.uri_ex_hasAncestor))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.iext tptp.uri_owl_minCardinality SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.literal_typed tptp.dat_str_1 tptp.uri_xsd_nonNegativeInteger)))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_19 _let_17))) (let ((_let_23 (forall ((Z $$unsorted) (P $$unsorted) (BOUND_VARIABLE_683 $$unsorted)) (or (not (tptp.iext tptp.uri_owl_minCardinality Z (tptp.literal_typed tptp.dat_str_1 tptp.uri_xsd_nonNegativeInteger))) (not (tptp.iext tptp.uri_owl_onProperty Z P)) (= (tptp.icext Z BOUND_VARIABLE_683) (not (forall ((Y $$unsorted)) (not (tptp.iext P BOUND_VARIABLE_683 Y))))))))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_ex_Person SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 (not (tptp.iext tptp.uri_rdf_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.uri_owl_Restriction)) _let_19 _let_21))) (let ((_let_28 (forall ((BNODE_z $$unsorted)) (or (not (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_ex_Person BNODE_z)) (not (tptp.iext tptp.uri_rdf_type BNODE_z tptp.uri_owl_Restriction)) (not (tptp.iext tptp.uri_owl_onProperty BNODE_z tptp.uri_ex_hasAncestor)) (not (tptp.iext tptp.uri_owl_minCardinality BNODE_z (tptp.literal_typed tptp.dat_str_1 tptp.uri_xsd_nonNegativeInteger))))))) (let ((_let_29 (not _let_27))) (let ((_let_30 (or))) (let ((_let_31 (not _let_28))) (let ((_let_32 (_let_31))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_32)) :args _let_32)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_28))) (REFL :args (_let_29)) :args _let_30)) (NOT_OR_ELIM _let_13 :args (4)) :args (_let_29 true _let_28)))) (let ((_let_34 (REFL :args (_let_27)))) (let ((_let_35 (tptp.icext tptp.uri_ex_Person tptp.uri_ex_bob))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_16))) (let ((_let_38 (forall ((X $$unsorted)) (or (not (tptp.icext tptp.uri_ex_Person X)) (tptp.icext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X))))) (let ((_let_39 (and (tptp.ic tptp.uri_ex_Person) (tptp.ic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_38))) (let ((_let_40 (= _let_25 _let_39))) (let ((_let_41 (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_42 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (_let_38))) (let ((_let_44 (tptp.iext tptp.uri_rdf_type tptp.uri_ex_bob tptp.uri_ex_Person))) (let ((_let_45 (= _let_44 _let_35))) (let ((_let_46 (_let_6))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 ((tptp.iext tptp.uri_rdf_type X C)))) (let ((_let_49 (_let_15))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_49)) :args _let_49) (REWRITE :args ((=> _let_15 (not _let_10)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) (REFL :args (_let_8)) :args _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_17)) :args ((or (not _let_16) _let_15 (not _let_17)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_36 _let_16 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_45)) :args ((or (not _let_44) _let_35 (not _let_45)))) (NOT_NOT_ELIM (NOT_OR_ELIM _let_13 :args (2))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.uri_ex_bob tptp.uri_ex_Person QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_48)) :args _let_46)) _let_47 :args (_let_45 false _let_6)) :args (_let_35 false _let_44 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_43) :args (tptp.uri_ex_bob QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.icext tptp.uri_ex_Person X) false))))) :args _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_39 2)) :args ((or _let_38 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_40)) :args ((or _let_26 _let_39 (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 0)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_30)) :args ((or _let_25 _let_27))) _let_33 :args (_let_25 true _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.uri_ex_Person SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.iext tptp.uri_rdfs_subClassOf C1 C2)))) :args (_let_41))) _let_42 :args (_let_40 false _let_41)) :args (_let_39 false _let_25 false _let_40)) :args (_let_38 false _let_39)) :args (_let_37 false _let_38)) :args (_let_16 false _let_35 false _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_19 _let_21 _let_17 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 2)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_30)) :args ((or _let_18 _let_27))) _let_33 :args (_let_18 true _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 3)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_30)) :args ((or _let_20 _let_27))) _let_33 :args (_let_20 true _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.uri_ex_hasAncestor tptp.uri_ex_bob QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.iext tptp.uri_owl_onProperty Z P) false)) (tptp.icext Z BOUND_VARIABLE_683)))) :args (_let_23))) _let_24 :args (_let_22 false _let_23)) :args (_let_17 false _let_18 false _let_20 false _let_22)) :args (_let_15 false _let_16 false _let_17)) :args (_let_8 true _let_14)))) (let ((_let_51 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.iext tptp.uri_ex_hasAncestor X Y)) (not (tptp.iext tptp.uri_ex_hasAncestor Y Z)) (tptp.iext tptp.uri_ex_hasAncestor X Z))))) (let ((_let_52 (and (tptp.ip tptp.uri_ex_hasAncestor) _let_51))) (let ((_let_53 (tptp.icext tptp.uri_owl_TransitiveProperty tptp.uri_ex_hasAncestor))) (let ((_let_54 (= _let_53 _let_52))) (let ((_let_55 (forall ((P $$unsorted)) (= (tptp.icext tptp.uri_owl_TransitiveProperty P) (and (tptp.ip P) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.iext P X Y)) (not (tptp.iext P Y Z)) (tptp.iext P X Z)))))))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (tptp.iext tptp.uri_rdf_type tptp.uri_ex_hasAncestor tptp.uri_owl_TransitiveProperty))) (let ((_let_58 (= _let_57 _let_53))) (let ((_let_59 (_let_51))) (let ((_let_60 (not _let_9))) (let ((_let_61 (or _let_10 _let_60))) (let ((_let_62 (forall ((BNODE_x $$unsorted)) (or (not (tptp.iext tptp.uri_ex_hasAncestor tptp.uri_ex_bob BNODE_x)) (not (tptp.iext tptp.uri_ex_hasAncestor tptp.uri_ex_alice BNODE_x)))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_12)) :args ((or _let_11 _let_10 _let_9 (not _let_12)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_10 _let_60 (not _let_61)))) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.iext tptp.uri_ex_hasAncestor tptp.uri_ex_bob BNODE_x) false))))) :args (_let_62))) _let_63 :args (_let_61 false _let_62)) :args (_let_60 false _let_8 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_59) :args (tptp.uri_ex_alice tptp.uri_ex_bob SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.iext tptp.uri_ex_hasAncestor X Y) false)) (not (= (tptp.iext tptp.uri_ex_hasAncestor Y Z) false))))) :args _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_52 1)) :args ((or _let_51 (not _let_52)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_54)) :args ((or (not _let_53) _let_52 (not _let_54)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_58)) :args ((or (not _let_57) _let_53 (not _let_58)))) (NOT_NOT_ELIM (NOT_OR_ELIM _let_13 :args (0))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.uri_ex_hasAncestor tptp.uri_owl_TransitiveProperty QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_48)) :args _let_46)) _let_47 :args (_let_58 false _let_6)) :args (_let_53 false _let_57 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.uri_ex_hasAncestor QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.icext tptp.uri_owl_TransitiveProperty P)))) :args (_let_55))) _let_56 :args (_let_54 false _let_55)) :args (_let_52 false _let_53 false _let_54)) :args (_let_51 false _let_52)) :args (_let_12 false _let_51)) _let_50 (NOT_NOT_ELIM (NOT_OR_ELIM _let_13 :args (3))) :args (false true _let_9 false _let_12 false _let_8 false _let_7)) :args (_let_6 _let_5 _let_4 _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.53 )
% 0.20/0.53 % SZS output end Proof for SWB024+2
% 0.20/0.53 % cvc5---1.0.5 exiting
% 0.20/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------