%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWB007+2 : TPTP v8.1.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n032.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 19:26:45 EDT 2022 % Result : Theorem 0.11s 0.37s % Output : Proof 0.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.08 % Problem : SWB007+2 : TPTP v8.1.0. Released v5.2.0. % 0.00/0.08 % Command : run_zenon %s %d % 0.07/0.27 % Computer : n032.cluster.edu % 0.07/0.27 % Model : x86_64 x86_64 % 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.27 % Memory : 8042.1875MB % 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.27 % CPULimit : 300 % 0.07/0.27 % WCLimit : 600 % 0.07/0.27 % DateTime : Wed Jun 1 02:58:14 EDT 2022 % 0.07/0.27 % CPUTime : % 0.11/0.37 (* PROOF-FOUND *) % 0.11/0.37 % SZS status Theorem % 0.11/0.37 (* BEGIN-PROOF *) % 0.11/0.37 % SZS output start Proof % 0.11/0.37 Theorem testcase_conclusion_fullish_007_Equal_Classes : ((iext (uri_rdf_type) (uri_ex_w) (uri_ex_c2))/\((iext (uri_rdfs_subClassOf) (uri_ex_c) (uri_ex_c2))/\(iext (uri_rdfs_range) (uri_ex_p) (uri_ex_c2)))). % 0.11/0.37 Proof. % 0.11/0.37 assert (zenon_L1_ : (~((uri_ex_c1) = (uri_ex_c2))) -> (iext (uri_owl_sameAs) (uri_ex_c1) (uri_ex_c2)) -> False). % 0.11/0.37 do 0 intro. intros zenon_H3 zenon_H4. % 0.11/0.37 generalize (owl_eqdis_sameas (uri_ex_c1)). zenon_intro zenon_H5. % 0.11/0.37 generalize (zenon_H5 (uri_ex_c2)). zenon_intro zenon_H6. % 0.11/0.37 apply (zenon_equiv_s _ _ zenon_H6); [ zenon_intro zenon_H8; zenon_intro zenon_H3 | zenon_intro zenon_H4; zenon_intro zenon_H7 ]. % 0.11/0.37 exact (zenon_H8 zenon_H4). % 0.11/0.37 exact (zenon_H3 zenon_H7). % 0.11/0.37 (* end of lemma zenon_L1_ *) % 0.11/0.37 apply NNPP. intro zenon_G. % 0.11/0.37 apply (zenon_and_s _ _ testcase_premise_fullish_007_Equal_Classes). zenon_intro zenon_H4. zenon_intro zenon_H9. % 0.11/0.37 apply (zenon_and_s _ _ zenon_H9). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.11/0.37 apply (zenon_and_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.11/0.37 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_Hf | zenon_intro zenon_He ]. % 0.11/0.37 cut ((iext (uri_rdf_type) (uri_ex_w) (uri_ex_c1)) = (iext (uri_rdf_type) (uri_ex_w) (uri_ex_c2))). % 0.11/0.37 intro zenon_D_pnotp. % 0.11/0.37 apply zenon_Hf. % 0.11/0.37 rewrite <- zenon_D_pnotp. % 0.11/0.37 exact zenon_Hb. % 0.11/0.37 cut (((uri_ex_c1) = (uri_ex_c2))); [idtac | apply NNPP; zenon_intro zenon_H3]. % 0.11/0.37 cut (((uri_ex_w) = (uri_ex_w))); [idtac | apply NNPP; zenon_intro zenon_H10]. % 0.11/0.37 cut (((uri_rdf_type) = (uri_rdf_type))); [idtac | apply NNPP; zenon_intro zenon_H11]. % 0.11/0.37 congruence. % 0.11/0.37 apply zenon_H11. apply refl_equal. % 0.11/0.37 apply zenon_H10. apply refl_equal. % 0.11/0.37 apply (zenon_L1_); trivial. % 0.11/0.37 apply (zenon_notand_s _ _ zenon_He); [ zenon_intro zenon_H13 | zenon_intro zenon_H12 ]. % 0.11/0.37 cut ((iext (uri_rdfs_subClassOf) (uri_ex_c) (uri_ex_c1)) = (iext (uri_rdfs_subClassOf) (uri_ex_c) (uri_ex_c2))). % 0.11/0.37 intro zenon_D_pnotp. % 0.11/0.37 apply zenon_H13. % 0.11/0.37 rewrite <- zenon_D_pnotp. % 0.11/0.37 exact zenon_Hd. % 0.11/0.37 cut (((uri_ex_c1) = (uri_ex_c2))); [idtac | apply NNPP; zenon_intro zenon_H3]. % 0.11/0.37 cut (((uri_ex_c) = (uri_ex_c))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 0.11/0.37 cut (((uri_rdfs_subClassOf) = (uri_rdfs_subClassOf))); [idtac | apply NNPP; zenon_intro zenon_H15]. % 0.11/0.37 congruence. % 0.11/0.37 apply zenon_H15. apply refl_equal. % 0.11/0.37 apply zenon_H14. apply refl_equal. % 0.11/0.37 apply (zenon_L1_); trivial. % 0.11/0.37 cut ((iext (uri_rdfs_range) (uri_ex_p) (uri_ex_c1)) = (iext (uri_rdfs_range) (uri_ex_p) (uri_ex_c2))). % 0.11/0.37 intro zenon_D_pnotp. % 0.11/0.37 apply zenon_H12. % 0.11/0.37 rewrite <- zenon_D_pnotp. % 0.11/0.37 exact zenon_Hc. % 0.11/0.37 cut (((uri_ex_c1) = (uri_ex_c2))); [idtac | apply NNPP; zenon_intro zenon_H3]. % 0.11/0.37 cut (((uri_ex_p) = (uri_ex_p))); [idtac | apply NNPP; zenon_intro zenon_H16]. % 0.11/0.37 cut (((uri_rdfs_range) = (uri_rdfs_range))); [idtac | apply NNPP; zenon_intro zenon_H17]. % 0.11/0.37 congruence. % 0.11/0.37 apply zenon_H17. apply refl_equal. % 0.11/0.37 apply zenon_H16. apply refl_equal. % 0.11/0.37 apply (zenon_L1_); trivial. % 0.11/0.37 Qed. % 0.11/0.37 % SZS output end Proof % 0.11/0.37 (* END-PROOF *) % 0.11/0.37 nodes searched: 77 % 0.11/0.37 max branch formulas: 40 % 0.11/0.37 proof nodes created: 23 % 0.11/0.37 formulas created: 353 % 0.11/0.37 %------------------------------------------------------------------------------