%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWB023+2 : TPTP v8.1.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n022.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 19:26:50 EDT 2022 % Result : Theorem 18.04s 18.24s % Output : Proof 18.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SWB023+2 : TPTP v8.1.0. Released v5.2.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n022.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Wed Jun 1 03:30:22 EDT 2022 % 0.12/0.34 % CPUTime : % 18.04/18.24 (* PROOF-FOUND *) % 18.04/18.24 % SZS status Theorem % 18.04/18.24 (* BEGIN-PROOF *) % 18.04/18.24 % SZS output start Proof % 18.04/18.24 Theorem testcase_conclusion_fullish_023_Unique_List_Components : ((iext (uri_owl_sameAs) (uri_ex_w) (uri_ex_u))/\(iext (uri_owl_sameAs) (uri_ex_w) (uri_ex_v))). % 18.04/18.24 Proof. % 18.04/18.24 assert (zenon_L1_ : (~((uri_ex_u) = (uri_ex_u))) -> False). % 18.04/18.24 do 0 intro. intros zenon_H6. % 18.04/18.24 apply zenon_H6. apply refl_equal. % 18.04/18.24 (* end of lemma zenon_L1_ *) % 18.04/18.24 assert (zenon_L2_ : (~((uri_owl_sameAs) = (uri_owl_sameAs))) -> False). % 18.04/18.24 do 0 intro. intros zenon_H7. % 18.04/18.24 apply zenon_H7. apply refl_equal. % 18.04/18.24 (* end of lemma zenon_L2_ *) % 18.04/18.24 assert (zenon_L3_ : forall (zenon_TBNODE_o_l : zenon_U), (forall C : zenon_U, ((iext (uri_rdf_type) (uri_ex_w) C)<->(icext C (uri_ex_w)))) -> (iext (uri_rdf_type) (uri_ex_w) zenon_TBNODE_o_l) -> (~(icext zenon_TBNODE_o_l (uri_ex_w))) -> False). % 18.04/18.24 do 1 intro. intros zenon_H8 zenon_H9 zenon_Ha. % 18.04/18.24 generalize (zenon_H8 zenon_TBNODE_o_l). zenon_intro zenon_Hc. % 18.04/18.24 apply (zenon_equiv_s _ _ zenon_Hc); [ zenon_intro zenon_He; zenon_intro zenon_Ha | zenon_intro zenon_H9; zenon_intro zenon_Hd ]. % 18.04/18.24 exact (zenon_He zenon_H9). % 18.04/18.24 exact (zenon_Ha zenon_Hd). % 18.04/18.24 (* end of lemma zenon_L3_ *) % 18.04/18.24 assert (zenon_L4_ : forall (zenon_TBNODE_o_l : zenon_U) (zenon_TBNODE_l_u : zenon_U), (forall A1 : zenon_U, (((iext (uri_rdf_first) zenon_TBNODE_l_u A1)/\(iext (uri_rdf_rest) zenon_TBNODE_l_u (uri_rdf_nil)))->((iext (uri_owl_oneOf) zenon_TBNODE_o_l zenon_TBNODE_l_u)<->((ic zenon_TBNODE_o_l)/\(forall X : zenon_U, ((icext zenon_TBNODE_o_l X)<->(X = A1))))))) -> (iext (uri_rdf_first) zenon_TBNODE_l_u (uri_ex_u)) -> (iext (uri_rdf_rest) zenon_TBNODE_l_u (uri_rdf_nil)) -> (forall C : zenon_U, ((iext (uri_rdf_type) (uri_ex_w) C)<->(icext C (uri_ex_w)))) -> (iext (uri_rdf_type) (uri_ex_w) zenon_TBNODE_o_l) -> (~((uri_ex_u) = (uri_ex_w))) -> (iext (uri_owl_oneOf) zenon_TBNODE_o_l zenon_TBNODE_l_u) -> False). % 18.04/18.24 do 2 intro. intros zenon_Hf zenon_H10 zenon_H11 zenon_H8 zenon_H9 zenon_H12 zenon_H13. % 18.04/18.24 generalize (zenon_Hf (uri_ex_u)). zenon_intro zenon_H15. % 18.04/18.24 apply (zenon_imply_s _ _ zenon_H15); [ zenon_intro zenon_H17 | zenon_intro zenon_H16 ]. % 18.04/18.24 apply (zenon_notand_s _ _ zenon_H17); [ zenon_intro zenon_H19 | zenon_intro zenon_H18 ]. % 18.04/18.24 exact (zenon_H19 zenon_H10). % 18.04/18.24 exact (zenon_H18 zenon_H11). % 18.04/18.24 apply (zenon_equiv_s _ _ zenon_H16); [ zenon_intro zenon_H1c; zenon_intro zenon_H1b | zenon_intro zenon_H13; zenon_intro zenon_H1a ]. % 18.04/18.24 exact (zenon_H1c zenon_H13). % 18.04/18.24 apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 18.04/18.24 generalize (zenon_H1d (uri_ex_w)). zenon_intro zenon_H1f. % 18.04/18.24 apply (zenon_equiv_s _ _ zenon_H1f); [ zenon_intro zenon_Ha; zenon_intro zenon_H21 | zenon_intro zenon_Hd; zenon_intro zenon_H20 ]. % 18.04/18.24 apply (zenon_L3_ zenon_TBNODE_o_l); trivial. % 18.04/18.24 apply zenon_H12. apply sym_equal. exact zenon_H20. % 18.04/18.24 (* end of lemma zenon_L4_ *) % 18.04/18.24 assert (zenon_L5_ : forall (zenon_TBNODE_l_u : zenon_U) (zenon_TBNODE_o_l : zenon_U), (forall S1 : zenon_U, (forall A1 : zenon_U, (((iext (uri_rdf_first) S1 A1)/\(iext (uri_rdf_rest) S1 (uri_rdf_nil)))->((iext (uri_owl_oneOf) zenon_TBNODE_o_l S1)<->((ic zenon_TBNODE_o_l)/\(forall X : zenon_U, ((icext zenon_TBNODE_o_l X)<->(X = A1)))))))) -> (iext (uri_owl_oneOf) zenon_TBNODE_o_l zenon_TBNODE_l_u) -> (~((uri_ex_u) = (uri_ex_w))) -> (iext (uri_rdf_type) (uri_ex_w) zenon_TBNODE_o_l) -> (forall C : zenon_U, ((iext (uri_rdf_type) (uri_ex_w) C)<->(icext C (uri_ex_w)))) -> (iext (uri_rdf_rest) zenon_TBNODE_l_u (uri_rdf_nil)) -> (iext (uri_rdf_first) zenon_TBNODE_l_u (uri_ex_u)) -> False). % 18.04/18.24 do 2 intro. intros zenon_H22 zenon_H13 zenon_H12 zenon_H9 zenon_H8 zenon_H11 zenon_H10. % 18.04/18.24 generalize (zenon_H22 zenon_TBNODE_l_u). zenon_intro zenon_Hf. % 18.04/18.24 apply (zenon_L4_ zenon_TBNODE_o_l zenon_TBNODE_l_u); trivial. % 18.04/18.24 (* end of lemma zenon_L5_ *) % 18.04/18.24 assert (zenon_L6_ : (~((uri_ex_v) = (uri_ex_v))) -> False). % 18.04/18.24 do 0 intro. intros zenon_H23. % 18.04/18.24 apply zenon_H23. apply refl_equal. % 18.04/18.24 (* end of lemma zenon_L6_ *) % 18.04/18.24 assert (zenon_L7_ : (forall C : zenon_U, ((iext (uri_rdf_type) (uri_rdf_first) C)<->(icext C (uri_rdf_first)))) -> (iext (uri_rdf_type) (uri_rdf_first) (uri_owl_FunctionalProperty)) -> (~(icext (uri_owl_FunctionalProperty) (uri_rdf_first))) -> False). % 18.04/18.24 do 0 intro. intros zenon_H24 zenon_H25 zenon_H26. % 18.04/18.24 generalize (zenon_H24 (uri_owl_FunctionalProperty)). zenon_intro zenon_H27. % 18.04/18.24 apply (zenon_equiv_s _ _ zenon_H27); [ zenon_intro zenon_H29; zenon_intro zenon_H26 | zenon_intro zenon_H25; zenon_intro zenon_H28 ]. % 18.04/18.24 exact (zenon_H29 zenon_H25). % 18.04/18.24 exact (zenon_H26 zenon_H28). % 18.04/18.24 (* end of lemma zenon_L7_ *) % 18.04/18.24 assert (zenon_L8_ : (~(icext (uri_owl_FunctionalProperty) (uri_rdf_first))) -> (iext (uri_rdf_type) (uri_rdf_first) (uri_owl_FunctionalProperty)) -> False). % 18.04/18.24 do 0 intro. intros zenon_H26 zenon_H25. % 18.04/18.24 generalize (rdfs_cext_def (uri_rdf_first)). zenon_intro zenon_H24. % 18.04/18.24 apply (zenon_L7_); trivial. % 18.04/18.24 (* end of lemma zenon_L8_ *) % 18.04/18.24 assert (zenon_L9_ : forall (zenon_TBNODE_o_l : zenon_U) (zenon_TBNODE_l_u : zenon_U), (iext (uri_rdf_first) zenon_TBNODE_l_u (uri_ex_u)) -> (iext (uri_rdf_rest) zenon_TBNODE_l_u (uri_rdf_nil)) -> (iext (uri_rdf_type) (uri_ex_w) zenon_TBNODE_o_l) -> (~((uri_ex_u) = (uri_ex_w))) -> (iext (uri_owl_oneOf) zenon_TBNODE_o_l zenon_TBNODE_l_u) -> (forall S1 : zenon_U, (forall A1 : zenon_U, (((iext (uri_rdf_first) S1 A1)/\(iext (uri_rdf_rest) S1 (uri_rdf_nil)))->((iext (uri_owl_oneOf) zenon_TBNODE_o_l S1)<->((ic zenon_TBNODE_o_l)/\(forall X : zenon_U, ((icext zenon_TBNODE_o_l X)<->(X = A1)))))))) -> False). % 18.04/18.24 do 2 intro. intros zenon_H10 zenon_H11 zenon_H9 zenon_H12 zenon_H13 zenon_H22. % 18.04/18.24 generalize (rdfs_cext_def (uri_ex_w)). zenon_intro zenon_H8. % 18.04/18.24 apply (zenon_L5_ zenon_TBNODE_l_u zenon_TBNODE_o_l); trivial. % 18.04/18.24 (* end of lemma zenon_L9_ *) % 18.04/18.24 assert (zenon_L10_ : forall (zenon_TBNODE_o_l : zenon_U) (zenon_TBNODE_l_u : zenon_U), (~(iext (uri_owl_sameAs) (uri_ex_w) (uri_ex_v))) -> (iext (uri_owl_sameAs) (uri_ex_v) (uri_ex_v)) -> (iext (uri_rdf_first) zenon_TBNODE_l_u (uri_ex_u)) -> (iext (uri_rdf_rest) zenon_TBNODE_l_u (uri_rdf_nil)) -> (iext (uri_rdf_type) (uri_ex_w) zenon_TBNODE_o_l) -> (iext (uri_owl_oneOf) zenon_TBNODE_o_l zenon_TBNODE_l_u) -> (forall S1 : zenon_U, (forall A1 : zenon_U, (((iext (uri_rdf_first) S1 A1)/\(iext (uri_rdf_rest) S1 (uri_rdf_nil)))->((iext (uri_owl_oneOf) zenon_TBNODE_o_l S1)<->((ic zenon_TBNODE_o_l)/\(forall X : zenon_U, ((icext zenon_TBNODE_o_l X)<->(X = A1)))))))) -> ((uri_ex_v) = (uri_ex_u)) -> False). % 18.04/18.24 do 2 intro. intros zenon_H2a zenon_H2b zenon_H10 zenon_H11 zenon_H9 zenon_H13 zenon_H22 zenon_H2c. % 18.04/18.24 cut ((iext (uri_owl_sameAs) (uri_ex_v) (uri_ex_v)) = (iext (uri_owl_sameAs) (uri_ex_w) (uri_ex_v))). % 18.04/18.24 intro zenon_D_pnotp. % 18.04/18.24 apply zenon_H2a. % 18.04/18.24 rewrite <- zenon_D_pnotp. % 18.04/18.24 exact zenon_H2b. % 18.04/18.24 cut (((uri_ex_v) = (uri_ex_v))); [idtac | apply NNPP; zenon_intro zenon_H23]. % 18.04/18.24 cut (((uri_ex_v) = (uri_ex_w))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 18.04/18.24 cut (((uri_owl_sameAs) = (uri_owl_sameAs))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 18.04/18.24 congruence. % 18.04/18.24 apply zenon_H7. apply refl_equal. % 18.04/18.24 cut (((uri_ex_v) = (uri_ex_u)) = ((uri_ex_v) = (uri_ex_w))). % 18.04/18.24 intro zenon_D_pnotp. % 18.04/18.24 apply zenon_H2d. % 18.04/18.24 rewrite <- zenon_D_pnotp. % 18.04/18.24 exact zenon_H2c. % 18.04/18.24 cut (((uri_ex_u) = (uri_ex_w))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 18.04/18.24 cut (((uri_ex_v) = (uri_ex_v))); [idtac | apply NNPP; zenon_intro zenon_H23]. % 18.04/18.24 congruence. % 18.04/18.24 apply zenon_H23. apply refl_equal. % 18.04/18.24 apply (zenon_L9_ zenon_TBNODE_o_l zenon_TBNODE_l_u); trivial. % 18.04/18.24 apply zenon_H23. apply refl_equal. % 18.04/18.24 (* end of lemma zenon_L10_ *) % 18.04/18.24 apply NNPP. intro zenon_G. % 18.04/18.24 elim testcase_premise_fullish_023_Unique_List_Components. zenon_intro zenon_TBNODE_o_l. zenon_intro zenon_H2e. % 18.04/18.24 elim zenon_H2e. zenon_intro zenon_TBNODE_l_u. zenon_intro zenon_H2f. % 18.04/18.24 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H25. zenon_intro zenon_H30. % 18.04/18.24 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H9. zenon_intro zenon_H31. % 18.04/18.24 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H33. zenon_intro zenon_H32. % 18.04/18.24 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H13. zenon_intro zenon_H34. % 18.04/18.24 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H35. % 18.04/18.24 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H36. zenon_intro zenon_H11. % 18.04/18.24 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_H37 | zenon_intro zenon_H2a ]. % 18.04/18.24 generalize (owl_eqdis_sameas (uri_ex_u)). zenon_intro zenon_H38. % 18.04/18.24 generalize (zenon_H38 (uri_ex_u)). zenon_intro zenon_H39. % 18.04/18.24 apply (zenon_equiv_s _ _ zenon_H39); [ zenon_intro zenon_H3c; zenon_intro zenon_H6 | zenon_intro zenon_H3b; zenon_intro zenon_H3a ]. % 18.04/18.24 apply zenon_H6. apply refl_equal. % 18.04/18.24 generalize (owl_enum_class_001 zenon_TBNODE_o_l). zenon_intro zenon_H22. % 18.04/18.24 generalize (rdfs_cext_def (uri_ex_w)). zenon_intro zenon_H8. % 18.04/18.24 cut ((iext (uri_owl_sameAs) (uri_ex_u) (uri_ex_u)) = (iext (uri_owl_sameAs) (uri_ex_w) (uri_ex_u))). % 18.04/18.24 intro zenon_D_pnotp. % 18.04/18.24 apply zenon_H37. % 18.04/18.24 rewrite <- zenon_D_pnotp. % 18.04/18.24 exact zenon_H3b. % 18.04/18.24 cut (((uri_ex_u) = (uri_ex_u))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 18.04/18.24 cut (((uri_ex_u) = (uri_ex_w))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 18.04/18.24 cut (((uri_owl_sameAs) = (uri_owl_sameAs))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 18.04/18.24 congruence. % 18.04/18.24 apply zenon_H7. apply refl_equal. % 18.04/18.24 apply (zenon_L5_ zenon_TBNODE_l_u zenon_TBNODE_o_l); trivial. % 18.04/18.24 apply zenon_H6. apply refl_equal. % 18.04/18.24 generalize (owl_eqdis_sameas (uri_ex_v)). zenon_intro zenon_H3d. % 18.04/18.24 generalize (zenon_H3d (uri_ex_v)). zenon_intro zenon_H3e. % 18.04/18.24 apply (zenon_equiv_s _ _ zenon_H3e); [ zenon_intro zenon_H40; zenon_intro zenon_H23 | zenon_intro zenon_H2b; zenon_intro zenon_H3f ]. % 18.04/18.24 apply zenon_H23. apply refl_equal. % 18.04/18.24 generalize (owl_enum_class_001 zenon_TBNODE_o_l). zenon_intro zenon_H22. % 18.04/18.24 generalize (owl_char_functional (uri_rdf_first)). zenon_intro zenon_H41. % 18.04/18.24 apply (zenon_equiv_s _ _ zenon_H41); [ zenon_intro zenon_H26; zenon_intro zenon_H43 | zenon_intro zenon_H28; zenon_intro zenon_H42 ]. % 18.04/18.24 apply (zenon_L8_); trivial. % 18.04/18.24 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 18.04/18.24 generalize (zenon_H44 zenon_TBNODE_l_u). zenon_intro zenon_H46. % 18.04/18.24 generalize (zenon_H46 (uri_ex_v)). zenon_intro zenon_H47. % 18.04/18.24 generalize (zenon_H47 (uri_ex_u)). zenon_intro zenon_H48. % 18.04/18.24 apply (zenon_imply_s _ _ zenon_H48); [ zenon_intro zenon_H49 | zenon_intro zenon_H2c ]. % 18.04/18.24 apply (zenon_notand_s _ _ zenon_H49); [ zenon_intro zenon_H4a | zenon_intro zenon_H19 ]. % 18.04/18.24 exact (zenon_H4a zenon_H36). % 18.04/18.24 exact (zenon_H19 zenon_H10). % 18.04/18.24 apply (zenon_L10_ zenon_TBNODE_o_l zenon_TBNODE_l_u); trivial. % 18.04/18.24 Qed. % 18.04/18.24 % SZS output end Proof % 18.04/18.24 (* END-PROOF *) % 18.04/18.24 nodes searched: 756930 % 18.04/18.24 max branch formulas: 4356 % 18.04/18.24 proof nodes created: 22974 % 18.04/18.24 formulas created: 1366935 % 18.04/18.24 %------------------------------------------------------------------------------