%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : CSR057+1 : TPTP v8.1.0. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n020.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 00:02:18 EDT 2022 % Result : Theorem 0.16s 0.47s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : CSR057+1 : TPTP v8.1.0. Released v3.4.0. % 0.03/0.11 % Command : run_zenon %s %d % 0.11/0.31 % Computer : n020.cluster.edu % 0.11/0.31 % Model : x86_64 x86_64 % 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.31 % Memory : 8042.1875MB % 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.31 % CPULimit : 300 % 0.11/0.31 % WCLimit : 600 % 0.11/0.31 % DateTime : Sat Jun 11 03:29:05 EDT 2022 % 0.11/0.31 % CPUTime : % 0.16/0.47 (* PROOF-FOUND *) % 0.16/0.47 % SZS status Theorem % 0.16/0.47 (* BEGIN-PROOF *) % 0.16/0.47 % SZS output start Proof % 0.16/0.47 Theorem query57 : (exists X : zenon_U, ((mtvisible (c_tptpgeo_member8_mt))->(inregion X (c_georegion_l4_x75_y75)))). % 0.16/0.47 Proof. % 0.16/0.47 apply NNPP. intro zenon_G. % 0.16/0.47 elim (classic (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((genlmt x y)->((genlmt y z)->(genlmt x z))))))); [ zenon_intro zenon_H42 | zenon_intro zenon_H43 ]. % 0.16/0.47 apply (zenon_imply_s _ _ just10); [ zenon_intro zenon_H45 | zenon_intro zenon_H44 ]. % 0.16/0.47 apply zenon_G. exists zenon_E. apply NNPP. zenon_intro zenon_H46. % 0.16/0.47 apply (zenon_notimply_s _ _ zenon_H46). zenon_intro zenon_H48. zenon_intro zenon_H47. % 0.16/0.47 generalize (just93 (c_tptpgeo_member8_mt)). zenon_intro zenon_H49. % 0.16/0.47 generalize (zenon_H49 (c_worldgeographymt)). zenon_intro zenon_H4a. % 0.16/0.47 apply (zenon_imply_s _ _ zenon_H4a); [ zenon_intro zenon_H4c | zenon_intro zenon_H4b ]. % 0.16/0.47 apply (zenon_notand_s _ _ zenon_H4c); [ zenon_intro zenon_H4e | zenon_intro zenon_H4d ]. % 0.16/0.47 exact (zenon_H4e zenon_H48). % 0.16/0.47 elim (classic ((~((c_tptpgeo_member8_mt) = (c_tptpgeo_spindleheadmt)))/\(~(genlmt (c_tptpgeo_member8_mt) (c_tptpgeo_spindleheadmt))))); [ zenon_intro zenon_H4f | zenon_intro zenon_H50 ]. % 0.16/0.47 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H52. zenon_intro zenon_H51. % 0.16/0.47 exact (zenon_H51 just7). % 0.16/0.47 cut ((genlmt (c_tptpgeo_spindleheadmt) (c_worldgeographymt)) = (genlmt (c_tptpgeo_member8_mt) (c_worldgeographymt))). % 0.16/0.47 intro zenon_D_pnotp. % 0.16/0.47 apply zenon_H4d. % 0.16/0.47 rewrite <- zenon_D_pnotp. % 0.16/0.47 exact just6. % 0.16/0.47 cut (((c_worldgeographymt) = (c_worldgeographymt))); [idtac | apply NNPP; zenon_intro zenon_H53]. % 0.16/0.47 cut (((c_tptpgeo_spindleheadmt) = (c_tptpgeo_member8_mt))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 0.16/0.47 congruence. % 0.16/0.47 apply (zenon_notand_s _ _ zenon_H50); [ zenon_intro zenon_H56 | zenon_intro zenon_H55 ]. % 0.16/0.47 apply zenon_H56. zenon_intro zenon_H57. % 0.16/0.47 elim (classic ((c_tptpgeo_member8_mt) = (c_tptpgeo_member8_mt))); [ zenon_intro zenon_H58 | zenon_intro zenon_H59 ]. % 0.16/0.47 cut (((c_tptpgeo_member8_mt) = (c_tptpgeo_member8_mt)) = ((c_tptpgeo_spindleheadmt) = (c_tptpgeo_member8_mt))). % 0.16/0.47 intro zenon_D_pnotp. % 0.16/0.47 apply zenon_H54. % 0.16/0.47 rewrite <- zenon_D_pnotp. % 0.16/0.47 exact zenon_H58. % 0.16/0.47 cut (((c_tptpgeo_member8_mt) = (c_tptpgeo_member8_mt))); [idtac | apply NNPP; zenon_intro zenon_H59]. % 0.16/0.47 cut (((c_tptpgeo_member8_mt) = (c_tptpgeo_spindleheadmt))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 0.16/0.47 congruence. % 0.16/0.47 exact (zenon_H52 zenon_H57). % 0.16/0.47 apply zenon_H59. apply refl_equal. % 0.16/0.47 apply zenon_H59. apply refl_equal. % 0.16/0.47 apply zenon_H55. zenon_intro just7. % 0.16/0.47 generalize (zenon_H42 (c_tptpgeo_member8_mt)). zenon_intro zenon_H5a. % 0.16/0.47 generalize (zenon_H5a (c_tptpgeo_spindleheadmt)). zenon_intro zenon_H5b. % 0.16/0.47 generalize (zenon_H5b (c_worldgeographymt)). zenon_intro zenon_H5c. % 0.16/0.47 apply (zenon_imply_s _ _ zenon_H5c); [ zenon_intro zenon_H51 | zenon_intro zenon_H5d ]. % 0.16/0.47 exact (zenon_H51 just7). % 0.16/0.47 apply (zenon_imply_s _ _ zenon_H5d); [ zenon_intro zenon_H5f | zenon_intro zenon_H5e ]. % 0.16/0.47 exact (zenon_H5f just6). % 0.16/0.47 exact (zenon_H4d zenon_H5e). % 0.16/0.47 apply zenon_H53. apply refl_equal. % 0.16/0.47 exact (zenon_H45 zenon_H4b). % 0.16/0.47 generalize (just46 (c_georegion_l4_x75_y75)). zenon_intro zenon_H60. % 0.16/0.47 apply (zenon_imply_s _ _ zenon_H60); [ zenon_intro zenon_H62 | zenon_intro zenon_H61 ]. % 0.16/0.47 generalize (just47 (c_georegion_l4_x75_y75)). zenon_intro zenon_H63. % 0.16/0.47 apply (zenon_imply_s _ _ zenon_H63); [ zenon_intro zenon_H65 | zenon_intro zenon_H64 ]. % 0.16/0.47 generalize (just17 (c_georegion_l4_x75_y75)). zenon_intro zenon_H66. % 0.16/0.47 apply (zenon_imply_s _ _ zenon_H66); [ zenon_intro zenon_H67 | zenon_intro zenon_H61 ]. % 0.16/0.47 generalize (just19 (c_georegion_l4_x75_y75)). zenon_intro zenon_H68. % 0.16/0.47 apply (zenon_imply_s _ _ zenon_H68); [ zenon_intro zenon_H6a | zenon_intro zenon_H69 ]. % 0.16/0.47 generalize (just23 (c_georegion_l4_x75_y75)). zenon_intro zenon_H6b. % 0.16/0.47 apply (zenon_imply_s _ _ zenon_H6b); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 0.16/0.47 generalize (just12 (c_georegion_l4_x75_y75)). zenon_intro zenon_H6e. % 0.16/0.47 apply (zenon_imply_s _ _ zenon_H6e); [ zenon_intro zenon_H70 | zenon_intro zenon_H6f ]. % 0.16/0.47 exact (zenon_H70 zenon_H44). % 0.16/0.47 exact (zenon_H6d zenon_H6f). % 0.16/0.47 exact (zenon_H6a zenon_H6c). % 0.16/0.47 exact (zenon_H67 zenon_H69). % 0.16/0.47 exact (zenon_H65 zenon_H61). % 0.16/0.47 exact (zenon_H62 zenon_H64). % 0.16/0.47 generalize (just84 (c_georegion_l4_x75_y75)). zenon_intro zenon_H71. % 0.16/0.47 apply (zenon_imply_s _ _ zenon_H71); [ zenon_intro zenon_H65 | zenon_intro zenon_H72 ]. % 0.16/0.47 exact (zenon_H65 zenon_H61). % 0.16/0.47 apply zenon_G. exists (c_georegion_l4_x75_y75). apply NNPP. zenon_intro zenon_H73. % 0.16/0.47 apply (zenon_notimply_s _ _ zenon_H73). zenon_intro zenon_H48. zenon_intro zenon_H74. % 0.16/0.47 exact (zenon_H74 zenon_H72). % 0.16/0.47 apply zenon_H43. zenon_intro zenon_Tx_en. apply NNPP. zenon_intro zenon_H76. % 0.16/0.47 apply zenon_H76. zenon_intro zenon_Ty_ep. apply NNPP. zenon_intro zenon_H78. % 0.16/0.47 apply zenon_H78. zenon_intro zenon_Tz_er. apply NNPP. zenon_intro zenon_H7a. % 0.16/0.47 apply (zenon_notimply_s _ _ zenon_H7a). zenon_intro zenon_H7c. zenon_intro zenon_H7b. % 0.16/0.47 apply (zenon_notimply_s _ _ zenon_H7b). zenon_intro zenon_H7e. zenon_intro zenon_H7d. % 0.16/0.47 generalize (just98 zenon_Tx_en). zenon_intro zenon_H7f. % 0.16/0.47 generalize (zenon_H7f zenon_Ty_ep). zenon_intro zenon_H80. % 0.16/0.47 generalize (zenon_H80 zenon_Tz_er). zenon_intro zenon_H81. % 0.16/0.47 apply (zenon_imply_s _ _ zenon_H81); [ zenon_intro zenon_H83 | zenon_intro zenon_H82 ]. % 0.16/0.47 apply (zenon_notand_s _ _ zenon_H83); [ zenon_intro zenon_H85 | zenon_intro zenon_H84 ]. % 0.16/0.47 exact (zenon_H85 zenon_H7c). % 0.16/0.47 exact (zenon_H84 zenon_H7e). % 0.16/0.47 exact (zenon_H7d zenon_H82). % 0.16/0.47 Qed. % 0.16/0.47 % SZS output end Proof % 0.16/0.47 (* END-PROOF *) % 0.16/0.47 nodes searched: 437 % 0.16/0.47 max branch formulas: 298 % 0.16/0.47 proof nodes created: 51 % 0.16/0.47 formulas created: 2103 % 0.16/0.47 %------------------------------------------------------------------------------