%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : CSR057+2 : TPTP v8.1.0. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n012.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 16.43s 16.61s % Output : Proof 16.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : CSR057+2 : TPTP v8.1.0. Released v3.4.0. % 0.10/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n012.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Sat Jun 11 13:39:56 EDT 2022 % 0.12/0.33 % CPUTime : % 16.43/16.61 (* PROOF-FOUND *) % 16.43/16.61 % SZS status Theorem % 16.43/16.61 (* BEGIN-PROOF *) % 16.43/16.61 % SZS output start Proof % 16.43/16.61 Theorem query107 : (exists X : zenon_U, ((mtvisible (c_tptpgeo_member8_mt))->(inregion X (c_georegion_l4_x75_y75)))). % 16.43/16.61 Proof. % 16.43/16.61 apply NNPP. intro zenon_G. % 16.43/16.61 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_H451 | zenon_intro zenon_H452 ]. % 16.43/16.61 apply (zenon_imply_s _ _ ax1_464); [ zenon_intro zenon_H454 | zenon_intro zenon_H453 ]. % 16.43/16.61 apply zenon_G. exists zenon_E. apply NNPP. zenon_intro zenon_H455. % 16.43/16.61 apply (zenon_notimply_s _ _ zenon_H455). zenon_intro zenon_H457. zenon_intro zenon_H456. % 16.43/16.61 generalize (ax1_1123 (c_tptpgeo_member8_mt)). zenon_intro zenon_H458. % 16.43/16.61 generalize (zenon_H458 (c_worldgeographymt)). zenon_intro zenon_H459. % 16.43/16.61 apply (zenon_imply_s _ _ zenon_H459); [ zenon_intro zenon_H45b | zenon_intro zenon_H45a ]. % 16.43/16.61 apply (zenon_notand_s _ _ zenon_H45b); [ zenon_intro zenon_H45d | zenon_intro zenon_H45c ]. % 16.43/16.61 exact (zenon_H45d zenon_H457). % 16.43/16.61 elim (classic ((~((c_tptpgeo_member8_mt) = (c_tptpgeo_spindleheadmt)))/\(~(genlmt (c_tptpgeo_member8_mt) (c_tptpgeo_spindleheadmt))))); [ zenon_intro zenon_H45e | zenon_intro zenon_H45f ]. % 16.43/16.61 apply (zenon_and_s _ _ zenon_H45e). zenon_intro zenon_H461. zenon_intro zenon_H460. % 16.43/16.61 exact (zenon_H460 ax1_1). % 16.43/16.61 cut ((genlmt (c_tptpgeo_spindleheadmt) (c_worldgeographymt)) = (genlmt (c_tptpgeo_member8_mt) (c_worldgeographymt))). % 16.43/16.61 intro zenon_D_pnotp. % 16.43/16.61 apply zenon_H45c. % 16.43/16.61 rewrite <- zenon_D_pnotp. % 16.43/16.61 exact ax1_326. % 16.43/16.61 cut (((c_worldgeographymt) = (c_worldgeographymt))); [idtac | apply NNPP; zenon_intro zenon_H462]. % 16.43/16.61 cut (((c_tptpgeo_spindleheadmt) = (c_tptpgeo_member8_mt))); [idtac | apply NNPP; zenon_intro zenon_H463]. % 16.43/16.61 congruence. % 16.43/16.61 apply (zenon_notand_s _ _ zenon_H45f); [ zenon_intro zenon_H465 | zenon_intro zenon_H464 ]. % 16.43/16.61 apply zenon_H465. zenon_intro zenon_H466. % 16.43/16.61 elim (classic ((c_tptpgeo_member8_mt) = (c_tptpgeo_member8_mt))); [ zenon_intro zenon_H467 | zenon_intro zenon_H468 ]. % 16.43/16.61 cut (((c_tptpgeo_member8_mt) = (c_tptpgeo_member8_mt)) = ((c_tptpgeo_spindleheadmt) = (c_tptpgeo_member8_mt))). % 16.43/16.61 intro zenon_D_pnotp. % 16.43/16.61 apply zenon_H463. % 16.43/16.61 rewrite <- zenon_D_pnotp. % 16.43/16.61 exact zenon_H467. % 16.43/16.61 cut (((c_tptpgeo_member8_mt) = (c_tptpgeo_member8_mt))); [idtac | apply NNPP; zenon_intro zenon_H468]. % 16.43/16.61 cut (((c_tptpgeo_member8_mt) = (c_tptpgeo_spindleheadmt))); [idtac | apply NNPP; zenon_intro zenon_H461]. % 16.43/16.61 congruence. % 16.43/16.61 exact (zenon_H461 zenon_H466). % 16.43/16.61 apply zenon_H468. apply refl_equal. % 16.43/16.61 apply zenon_H468. apply refl_equal. % 16.43/16.61 apply zenon_H464. zenon_intro ax1_1. % 16.43/16.61 generalize (zenon_H451 (c_tptpgeo_member8_mt)). zenon_intro zenon_H469. % 16.43/16.61 generalize (zenon_H469 (c_tptpgeo_spindleheadmt)). zenon_intro zenon_H46a. % 16.43/16.61 generalize (zenon_H46a (c_worldgeographymt)). zenon_intro zenon_H46b. % 16.43/16.61 apply (zenon_imply_s _ _ zenon_H46b); [ zenon_intro zenon_H460 | zenon_intro zenon_H46c ]. % 16.43/16.61 exact (zenon_H460 ax1_1). % 16.43/16.61 apply (zenon_imply_s _ _ zenon_H46c); [ zenon_intro zenon_H46e | zenon_intro zenon_H46d ]. % 16.43/16.61 exact (zenon_H46e ax1_326). % 16.43/16.61 exact (zenon_H45c zenon_H46d). % 16.43/16.61 apply zenon_H462. apply refl_equal. % 16.43/16.61 exact (zenon_H454 zenon_H45a). % 16.43/16.61 generalize (ax1_288 (c_georegion_l4_x75_y75)). zenon_intro zenon_H46f. % 16.43/16.61 apply (zenon_imply_s _ _ zenon_H46f); [ zenon_intro zenon_H471 | zenon_intro zenon_H470 ]. % 16.43/16.61 generalize (ax1_39 (c_georegion_l4_x75_y75)). zenon_intro zenon_H472. % 16.43/16.61 apply (zenon_imply_s _ _ zenon_H472); [ zenon_intro zenon_H474 | zenon_intro zenon_H473 ]. % 16.43/16.61 generalize (ax1_219 (c_georegion_l4_x75_y75)). zenon_intro zenon_H475. % 16.43/16.61 apply (zenon_imply_s _ _ zenon_H475); [ zenon_intro zenon_H477 | zenon_intro zenon_H476 ]. % 16.43/16.61 generalize (ax1_462 (c_georegion_l4_x75_y75)). zenon_intro zenon_H478. % 16.43/16.61 apply (zenon_imply_s _ _ zenon_H478); [ zenon_intro zenon_H47a | zenon_intro zenon_H479 ]. % 16.43/16.61 exact (zenon_H47a zenon_H453). % 16.43/16.61 exact (zenon_H477 zenon_H479). % 16.43/16.61 exact (zenon_H474 zenon_H476). % 16.43/16.61 exact (zenon_H471 zenon_H473). % 16.43/16.61 generalize (ax1_934 (c_georegion_l4_x75_y75)). zenon_intro zenon_H47b. % 16.43/16.61 apply (zenon_imply_s _ _ zenon_H47b); [ zenon_intro zenon_H47d | zenon_intro zenon_H47c ]. % 16.43/16.61 exact (zenon_H47d zenon_H470). % 16.43/16.61 apply zenon_G. exists (c_georegion_l4_x75_y75). apply NNPP. zenon_intro zenon_H47e. % 16.43/16.63 apply (zenon_notimply_s _ _ zenon_H47e). zenon_intro zenon_H457. zenon_intro zenon_H47f. % 16.43/16.63 exact (zenon_H47f zenon_H47c). % 16.43/16.63 apply zenon_H452. zenon_intro zenon_Tx_bsi. apply NNPP. zenon_intro zenon_H481. % 16.43/16.63 apply zenon_H481. zenon_intro zenon_Ty_bsk. apply NNPP. zenon_intro zenon_H483. % 16.43/16.63 apply zenon_H483. zenon_intro zenon_Tz_bsm. apply NNPP. zenon_intro zenon_H485. % 16.43/16.63 apply (zenon_notimply_s _ _ zenon_H485). zenon_intro zenon_H487. zenon_intro zenon_H486. % 16.43/16.63 apply (zenon_notimply_s _ _ zenon_H486). zenon_intro zenon_H489. zenon_intro zenon_H488. % 16.43/16.63 generalize (ax1_1128 zenon_Tx_bsi). zenon_intro zenon_H48a. % 16.43/16.63 generalize (zenon_H48a zenon_Ty_bsk). zenon_intro zenon_H48b. % 16.43/16.63 generalize (zenon_H48b zenon_Tz_bsm). zenon_intro zenon_H48c. % 16.43/16.63 apply (zenon_imply_s _ _ zenon_H48c); [ zenon_intro zenon_H48e | zenon_intro zenon_H48d ]. % 16.43/16.63 apply (zenon_notand_s _ _ zenon_H48e); [ zenon_intro zenon_H490 | zenon_intro zenon_H48f ]. % 16.43/16.63 exact (zenon_H490 zenon_H487). % 16.43/16.63 exact (zenon_H48f zenon_H489). % 16.43/16.63 exact (zenon_H488 zenon_H48d). % 16.43/16.63 Qed. % 16.43/16.63 % SZS output end Proof % 16.43/16.63 (* END-PROOF *) % 16.43/16.63 nodes searched: 598137 % 16.43/16.63 max branch formulas: 305664 % 16.43/16.63 proof nodes created: 333 % 16.43/16.63 formulas created: 4433832 % 16.43/16.63 %------------------------------------------------------------------------------