%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWB030+2 : TPTP v8.1.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n019.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 : 600s % DateTime : Tue Jul 19 19:26:52 EDT 2022 % Result : Unsatisfiable 1.02s 1.21s % Output : Proof 1.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWB030+2 : TPTP v8.1.0. Released v5.2.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n019.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Wed Jun 1 04:47:10 EDT 2022 % 0.13/0.34 % CPUTime : % 1.02/1.21 (* PROOF-FOUND *) % 1.02/1.21 % SZS status Unsatisfiable % 1.02/1.21 (* BEGIN-PROOF *) % 1.02/1.21 % SZS output start Proof % 1.02/1.21 Theorem zenon_thm : False. % 1.02/1.21 Proof. % 1.02/1.21 assert (zenon_L1_ : forall (zenon_TBNODE_x_h : zenon_U), (forall X : zenon_U, ((icext zenon_TBNODE_x_h X)<->(iext (uri_rdf_type) X X))) -> (icext zenon_TBNODE_x_h (uri_ex_c)) -> (~(iext (uri_rdf_type) (uri_ex_c) (uri_ex_c))) -> False). % 1.02/1.21 do 1 intro. intros zenon_H4 zenon_H5 zenon_H6. % 1.02/1.21 generalize (zenon_H4 (uri_ex_c)). zenon_intro zenon_H8. % 1.02/1.21 apply (zenon_equiv_s _ _ zenon_H8); [ zenon_intro zenon_Ha; zenon_intro zenon_H6 | zenon_intro zenon_H5; zenon_intro zenon_H9 ]. % 1.02/1.21 exact (zenon_Ha zenon_H5). % 1.02/1.21 exact (zenon_H6 zenon_H9). % 1.02/1.21 (* end of lemma zenon_L1_ *) % 1.02/1.21 assert (zenon_L2_ : forall (zenon_TBNODE_x_h : zenon_U), (forall C : zenon_U, ((iext (uri_rdf_type) (uri_ex_c) C)<->(icext C (uri_ex_c)))) -> (forall P : zenon_U, (forall V : zenon_U, (((iext (uri_owl_hasSelf) zenon_TBNODE_x_h V)/\(iext (uri_owl_onProperty) zenon_TBNODE_x_h P))->(forall X : zenon_U, ((icext zenon_TBNODE_x_h X)<->(iext P X X)))))) -> (icext zenon_TBNODE_x_h (uri_ex_c)) -> (iext (uri_owl_onProperty) zenon_TBNODE_x_h (uri_rdf_type)) -> (iext (uri_owl_hasSelf) zenon_TBNODE_x_h (literal_typed (dat_str_true) (uri_xsd_boolean))) -> (~(icext (uri_ex_c) (uri_ex_c))) -> False). % 1.02/1.21 do 1 intro. intros zenon_Hb zenon_Hc zenon_H5 zenon_Hd zenon_He zenon_Hf. % 1.02/1.21 generalize (zenon_Hb (uri_ex_c)). zenon_intro zenon_H10. % 1.02/1.21 apply (zenon_equiv_s _ _ zenon_H10); [ zenon_intro zenon_H6; zenon_intro zenon_Hf | zenon_intro zenon_H9; zenon_intro zenon_H11 ]. % 1.02/1.21 generalize (zenon_Hc (uri_rdf_type)). zenon_intro zenon_H12. % 1.02/1.21 generalize (zenon_H12 (literal_typed (dat_str_true) (uri_xsd_boolean))). zenon_intro zenon_H13. % 1.02/1.21 apply (zenon_imply_s _ _ zenon_H13); [ zenon_intro zenon_H14 | zenon_intro zenon_H4 ]. % 1.02/1.21 apply (zenon_notand_s _ _ zenon_H14); [ zenon_intro zenon_H16 | zenon_intro zenon_H15 ]. % 1.02/1.21 exact (zenon_H16 zenon_He). % 1.02/1.21 exact (zenon_H15 zenon_Hd). % 1.02/1.21 apply (zenon_L1_ zenon_TBNODE_x_h); trivial. % 1.02/1.21 exact (zenon_Hf zenon_H11). % 1.02/1.21 (* end of lemma zenon_L2_ *) % 1.02/1.21 assert (zenon_L3_ : forall (zenon_TBNODE_x_h : zenon_U), (~(~(icext zenon_TBNODE_x_h (uri_ex_c)))) -> (~(icext zenon_TBNODE_x_h (uri_ex_c))) -> False). % 1.02/1.21 do 1 intro. intros zenon_H17 zenon_Ha. % 1.02/1.21 exact (zenon_H17 zenon_Ha). % 1.02/1.21 (* end of lemma zenon_L3_ *) % 1.02/1.21 assert (zenon_L4_ : forall (zenon_TBNODE_x_h : zenon_U), (forall X : zenon_U, ((icext zenon_TBNODE_x_h X)<->(iext (uri_rdf_type) X X))) -> (forall C : zenon_U, ((iext (uri_rdf_type) (uri_ex_c) C)<->(icext C (uri_ex_c)))) -> (icext (uri_ex_c) (uri_ex_c)) -> (~(icext zenon_TBNODE_x_h (uri_ex_c))) -> False). % 1.02/1.21 do 1 intro. intros zenon_H4 zenon_Hb zenon_H11 zenon_Ha. % 1.02/1.21 generalize (zenon_H4 (uri_ex_c)). zenon_intro zenon_H8. % 1.02/1.21 apply (zenon_equiv_s _ _ zenon_H8); [ zenon_intro zenon_Ha; zenon_intro zenon_H6 | zenon_intro zenon_H5; zenon_intro zenon_H9 ]. % 1.02/1.21 generalize (zenon_Hb (uri_ex_c)). zenon_intro zenon_H10. % 1.02/1.21 apply (zenon_equiv_s _ _ zenon_H10); [ zenon_intro zenon_H6; zenon_intro zenon_Hf | zenon_intro zenon_H9; zenon_intro zenon_H11 ]. % 1.02/1.21 exact (zenon_Hf zenon_H11). % 1.02/1.21 exact (zenon_H6 zenon_H9). % 1.02/1.21 exact (zenon_Ha zenon_H5). % 1.02/1.21 (* end of lemma zenon_L4_ *) % 1.02/1.21 assert (zenon_L5_ : forall (zenon_TBNODE_x_h : zenon_U), (forall V : zenon_U, (((iext (uri_owl_hasSelf) zenon_TBNODE_x_h V)/\(iext (uri_owl_onProperty) zenon_TBNODE_x_h (uri_rdf_type)))->(forall X : zenon_U, ((icext zenon_TBNODE_x_h X)<->(iext (uri_rdf_type) X X))))) -> (iext (uri_owl_hasSelf) zenon_TBNODE_x_h (literal_typed (dat_str_true) (uri_xsd_boolean))) -> (iext (uri_owl_onProperty) zenon_TBNODE_x_h (uri_rdf_type)) -> (forall C : zenon_U, ((iext (uri_rdf_type) (uri_ex_c) C)<->(icext C (uri_ex_c)))) -> (icext (uri_ex_c) (uri_ex_c)) -> (~(icext zenon_TBNODE_x_h (uri_ex_c))) -> False). % 1.02/1.21 do 1 intro. intros zenon_H12 zenon_He zenon_Hd zenon_Hb zenon_H11 zenon_Ha. % 1.02/1.21 generalize (zenon_H12 (literal_typed (dat_str_true) (uri_xsd_boolean))). zenon_intro zenon_H13. % 1.02/1.21 apply (zenon_imply_s _ _ zenon_H13); [ zenon_intro zenon_H14 | zenon_intro zenon_H4 ]. % 1.02/1.21 apply (zenon_notand_s _ _ zenon_H14); [ zenon_intro zenon_H16 | zenon_intro zenon_H15 ]. % 1.02/1.21 exact (zenon_H16 zenon_He). % 1.02/1.21 exact (zenon_H15 zenon_Hd). % 1.02/1.21 apply (zenon_L4_ zenon_TBNODE_x_h); trivial. % 1.02/1.21 (* end of lemma zenon_L5_ *) % 1.02/1.21 assert (zenon_L6_ : forall (zenon_TBNODE_x_h : zenon_U), (forall P : zenon_U, (forall V : zenon_U, (((iext (uri_owl_hasSelf) zenon_TBNODE_x_h V)/\(iext (uri_owl_onProperty) zenon_TBNODE_x_h P))->(forall X : zenon_U, ((icext zenon_TBNODE_x_h X)<->(iext P X X)))))) -> (~(icext zenon_TBNODE_x_h (uri_ex_c))) -> (icext (uri_ex_c) (uri_ex_c)) -> (forall C : zenon_U, ((iext (uri_rdf_type) (uri_ex_c) C)<->(icext C (uri_ex_c)))) -> (iext (uri_owl_onProperty) zenon_TBNODE_x_h (uri_rdf_type)) -> (iext (uri_owl_hasSelf) zenon_TBNODE_x_h (literal_typed (dat_str_true) (uri_xsd_boolean))) -> False). % 1.02/1.21 do 1 intro. intros zenon_Hc zenon_Ha zenon_H11 zenon_Hb zenon_Hd zenon_He. % 1.02/1.21 generalize (zenon_Hc (uri_rdf_type)). zenon_intro zenon_H12. % 1.02/1.21 apply (zenon_L5_ zenon_TBNODE_x_h); trivial. % 1.02/1.21 (* end of lemma zenon_L6_ *) % 1.02/1.21 assert (zenon_L7_ : forall (zenon_TBNODE_x_h : zenon_U), (~(icext zenon_TBNODE_x_h (uri_ex_c))) -> (icext (uri_ex_c) (uri_ex_c)) -> (iext (uri_owl_onProperty) zenon_TBNODE_x_h (uri_rdf_type)) -> (iext (uri_owl_hasSelf) zenon_TBNODE_x_h (literal_typed (dat_str_true) (uri_xsd_boolean))) -> False). % 1.02/1.21 do 1 intro. intros zenon_Ha zenon_H11 zenon_Hd zenon_He. % 1.02/1.21 generalize (owl_restrict_hasself zenon_TBNODE_x_h). zenon_intro zenon_Hc. % 1.02/1.21 generalize (rdfs_cext_def (uri_ex_c)). zenon_intro zenon_Hb. % 1.02/1.21 apply (zenon_L6_ zenon_TBNODE_x_h); trivial. % 1.02/1.21 (* end of lemma zenon_L7_ *) % 1.02/1.21 assert (zenon_L8_ : forall (zenon_TBNODE_x_h : zenon_U), ((icext (uri_ex_c) (uri_ex_c))<->(~(icext zenon_TBNODE_x_h (uri_ex_c)))) -> (iext (uri_owl_hasSelf) zenon_TBNODE_x_h (literal_typed (dat_str_true) (uri_xsd_boolean))) -> (iext (uri_owl_onProperty) zenon_TBNODE_x_h (uri_rdf_type)) -> (~(icext zenon_TBNODE_x_h (uri_ex_c))) -> False). % 1.02/1.21 do 1 intro. intros zenon_H18 zenon_He zenon_Hd zenon_Ha. % 1.02/1.21 apply (zenon_equiv_s _ _ zenon_H18); [ zenon_intro zenon_Hf; zenon_intro zenon_H17 | zenon_intro zenon_H11; zenon_intro zenon_Ha ]. % 1.02/1.21 exact (zenon_H17 zenon_Ha). % 1.02/1.21 apply (zenon_L7_ zenon_TBNODE_x_h); trivial. % 1.02/1.21 (* end of lemma zenon_L8_ *) % 1.02/1.21 elim testcase_premise_fullish_030_Bad_Class. zenon_intro zenon_TBNODE_x_h. zenon_intro zenon_H19. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_Hd. zenon_intro zenon_He. % 1.02/1.21 generalize (owl_restrict_hasself zenon_TBNODE_x_h). zenon_intro zenon_Hc. % 1.02/1.21 generalize (owl_bool_complementof_class (uri_ex_c)). zenon_intro zenon_H20. % 1.02/1.21 generalize (zenon_H20 zenon_TBNODE_x_h). zenon_intro zenon_H21. % 1.02/1.21 apply (zenon_imply_s _ _ zenon_H21); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ]. % 1.02/1.21 exact (zenon_H23 zenon_H1d). % 1.02/1.21 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 1.02/1.21 generalize (rdfs_cext_def (uri_ex_c)). zenon_intro zenon_Hb. % 1.02/1.21 generalize (zenon_H26 (uri_ex_c)). zenon_intro zenon_H18. % 1.02/1.21 apply (zenon_equiv_s _ _ zenon_H18); [ zenon_intro zenon_Hf; zenon_intro zenon_H17 | zenon_intro zenon_H11; zenon_intro zenon_Ha ]. % 1.02/1.21 apply zenon_H17. zenon_intro zenon_H5. % 1.02/1.21 apply (zenon_L2_ zenon_TBNODE_x_h); trivial. % 1.02/1.21 apply (zenon_L8_ zenon_TBNODE_x_h); trivial. % 1.02/1.21 Qed. % 1.02/1.21 % SZS output end Proof % 1.02/1.21 (* END-PROOF *) % 1.02/1.21 nodes searched: 67311 % 1.02/1.21 max branch formulas: 1222 % 1.02/1.21 proof nodes created: 1979 % 1.02/1.21 formulas created: 64559 % 1.02/1.21 %------------------------------------------------------------------------------