%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : CSR037+1 : TPTP v8.1.0. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n011.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 : Sat Jul 16 00:01:58 EDT 2022 % Result : Theorem 0.19s 0.51s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : CSR037+1 : TPTP v8.1.0. Released v3.4.0. % 0.11/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n011.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 : Sat Jun 11 05:36:31 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.51 (* PROOF-FOUND *) % 0.19/0.51 % SZS status Theorem % 0.19/0.51 (* BEGIN-PROOF *) % 0.19/0.51 % SZS output start Proof % 0.19/0.51 Theorem query37 : ((mtvisible (c_tptpgeo_member7_mt))->(geographicalsubregions (c_georegion_l2_x5_y8) (c_georegion_l4_x45_y72))). % 0.19/0.51 Proof. % 0.19/0.51 apply NNPP. intro zenon_G. % 0.19/0.51 elim (classic (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((geographicalsubregions x y)->((geographicalsubregions y z)->(geographicalsubregions x z))))))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ]. % 0.19/0.51 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H39. zenon_intro zenon_H38. % 0.19/0.51 apply (zenon_imply_s _ _ just12); [ zenon_intro zenon_H3b | zenon_intro zenon_H3a ]. % 0.19/0.51 exact (zenon_H3b zenon_H39). % 0.19/0.51 apply (zenon_imply_s _ _ just13); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ]. % 0.19/0.51 exact (zenon_H3b zenon_H39). % 0.19/0.51 elim (classic ((~((c_georegion_l2_x5_y8) = (c_georegion_l3_x15_y24)))/\(~(geographicalsubregions (c_georegion_l2_x5_y8) (c_georegion_l3_x15_y24))))); [ zenon_intro zenon_H3d | zenon_intro zenon_H3e ]. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H40. zenon_intro zenon_H3f. % 0.19/0.51 exact (zenon_H3f zenon_H3a). % 0.19/0.51 cut ((geographicalsubregions (c_georegion_l3_x15_y24) (c_georegion_l4_x45_y72)) = (geographicalsubregions (c_georegion_l2_x5_y8) (c_georegion_l4_x45_y72))). % 0.19/0.51 intro zenon_D_pnotp. % 0.19/0.51 apply zenon_H38. % 0.19/0.51 rewrite <- zenon_D_pnotp. % 0.19/0.51 exact zenon_H3c. % 0.19/0.51 cut (((c_georegion_l4_x45_y72) = (c_georegion_l4_x45_y72))); [idtac | apply NNPP; zenon_intro zenon_H41]. % 0.19/0.51 cut (((c_georegion_l3_x15_y24) = (c_georegion_l2_x5_y8))); [idtac | apply NNPP; zenon_intro zenon_H42]. % 0.19/0.51 congruence. % 0.19/0.51 apply (zenon_notand_s _ _ zenon_H3e); [ zenon_intro zenon_H44 | zenon_intro zenon_H43 ]. % 0.19/0.51 apply zenon_H44. zenon_intro zenon_H45. % 0.19/0.51 elim (classic ((c_georegion_l2_x5_y8) = (c_georegion_l2_x5_y8))); [ zenon_intro zenon_H46 | zenon_intro zenon_H47 ]. % 0.19/0.51 cut (((c_georegion_l2_x5_y8) = (c_georegion_l2_x5_y8)) = ((c_georegion_l3_x15_y24) = (c_georegion_l2_x5_y8))). % 0.19/0.51 intro zenon_D_pnotp. % 0.19/0.51 apply zenon_H42. % 0.19/0.51 rewrite <- zenon_D_pnotp. % 0.19/0.51 exact zenon_H46. % 0.19/0.51 cut (((c_georegion_l2_x5_y8) = (c_georegion_l2_x5_y8))); [idtac | apply NNPP; zenon_intro zenon_H47]. % 0.19/0.51 cut (((c_georegion_l2_x5_y8) = (c_georegion_l3_x15_y24))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 0.19/0.51 congruence. % 0.19/0.51 exact (zenon_H40 zenon_H45). % 0.19/0.51 apply zenon_H47. apply refl_equal. % 0.19/0.51 apply zenon_H47. apply refl_equal. % 0.19/0.51 apply zenon_H43. zenon_intro zenon_H3a. % 0.19/0.51 generalize (zenon_H36 (c_georegion_l2_x5_y8)). zenon_intro zenon_H48. % 0.19/0.51 generalize (zenon_H48 (c_georegion_l3_x15_y24)). zenon_intro zenon_H49. % 0.19/0.51 generalize (zenon_H49 (c_georegion_l4_x45_y72)). zenon_intro zenon_H4a. % 0.19/0.51 apply (zenon_imply_s _ _ zenon_H4a); [ zenon_intro zenon_H3f | zenon_intro zenon_H4b ]. % 0.19/0.51 exact (zenon_H3f zenon_H3a). % 0.19/0.51 apply (zenon_imply_s _ _ zenon_H4b); [ zenon_intro zenon_H4d | zenon_intro zenon_H4c ]. % 0.19/0.51 exact (zenon_H4d zenon_H3c). % 0.19/0.51 exact (zenon_H38 zenon_H4c). % 0.19/0.51 apply zenon_H41. apply refl_equal. % 0.19/0.51 apply zenon_H37. zenon_intro zenon_Tx_da. apply NNPP. zenon_intro zenon_H4f. % 0.19/0.51 apply zenon_H4f. zenon_intro zenon_Ty_dc. apply NNPP. zenon_intro zenon_H51. % 0.19/0.51 apply zenon_H51. zenon_intro zenon_Tz_de. apply NNPP. zenon_intro zenon_H53. % 0.19/0.51 apply (zenon_notimply_s _ _ zenon_H53). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.19/0.51 apply (zenon_notimply_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.19/0.51 generalize (just34 zenon_Tx_da). zenon_intro zenon_H58. % 0.19/0.51 generalize (zenon_H58 zenon_Ty_dc). zenon_intro zenon_H59. % 0.19/0.51 generalize (zenon_H59 zenon_Tz_de). zenon_intro zenon_H5a. % 0.19/0.51 apply (zenon_imply_s _ _ zenon_H5a); [ zenon_intro zenon_H5c | zenon_intro zenon_H5b ]. % 0.19/0.51 apply (zenon_notand_s _ _ zenon_H5c); [ zenon_intro zenon_H5e | zenon_intro zenon_H5d ]. % 0.19/0.51 exact (zenon_H5e zenon_H55). % 0.19/0.51 exact (zenon_H5d zenon_H57). % 0.19/0.51 exact (zenon_H56 zenon_H5b). % 0.19/0.51 Qed. % 0.19/0.51 % SZS output end Proof % 0.19/0.51 (* END-PROOF *) % 0.19/0.51 nodes searched: 121 % 0.19/0.51 max branch formulas: 167 % 0.19/0.51 proof nodes created: 8 % 0.19/0.51 formulas created: 1177 % 0.19/0.51 %------------------------------------------------------------------------------