%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : CSR065+2 : TPTP v8.1.0. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n019.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 00:02:26 EDT 2022 % Result : Theorem 0.47s 0.66s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : CSR065+2 : TPTP v8.1.0. Released v3.4.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.13/0.33 % Computer : n019.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Fri Jun 10 15:10:40 EDT 2022 % 0.13/0.33 % CPUTime : % 0.47/0.66 (* PROOF-FOUND *) % 0.47/0.66 % SZS status Theorem % 0.47/0.66 (* BEGIN-PROOF *) % 0.47/0.66 % SZS output start Proof % 0.47/0.66 Theorem query115 : ((mtvisible (c_tptp_spindlecollectormt))->(tptpofobject (c_tptpridgeline_topographical) (f_tptpquantityfn_13 (n_468)))). % 0.47/0.66 Proof. % 0.47/0.66 assert (zenon_L1_ : (~((c_tptp_spindleheadmt) = (c_tptp_spindleheadmt))) -> False). % 0.47/0.66 do 0 intro. intros zenon_H450. % 0.47/0.66 apply zenon_H450. apply refl_equal. % 0.47/0.66 (* end of lemma zenon_L1_ *) % 0.47/0.66 apply NNPP. intro zenon_G. % 0.47/0.66 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 ]. % 0.47/0.66 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H454. zenon_intro zenon_H453. % 0.47/0.66 apply (zenon_imply_s _ _ ax1_25); [ zenon_intro zenon_H456 | zenon_intro zenon_H455 ]. % 0.47/0.66 generalize (ax1_1123 (c_tptp_spindlecollectormt)). zenon_intro zenon_H457. % 0.47/0.66 generalize (zenon_H457 (c_cyclistsmt)). zenon_intro zenon_H458. % 0.47/0.66 apply (zenon_imply_s _ _ zenon_H458); [ zenon_intro zenon_H45a | zenon_intro zenon_H459 ]. % 0.47/0.66 apply (zenon_notand_s _ _ zenon_H45a); [ zenon_intro zenon_H45c | zenon_intro zenon_H45b ]. % 0.47/0.66 exact (zenon_H45c zenon_H454). % 0.47/0.66 elim (classic ((~((c_tptp_spindlecollectormt) = (c_tptp_spindleheadmt)))/\(~(genlmt (c_tptp_spindlecollectormt) (c_tptp_spindleheadmt))))); [ zenon_intro zenon_H45d | zenon_intro zenon_H45e ]. % 0.47/0.66 apply (zenon_and_s _ _ zenon_H45d). zenon_intro zenon_H460. zenon_intro zenon_H45f. % 0.47/0.66 elim (classic ((~((c_tptp_spindlecollectormt) = (c_tptp_member3993_mt)))/\(~(genlmt (c_tptp_spindlecollectormt) (c_tptp_member3993_mt))))); [ zenon_intro zenon_H461 | zenon_intro zenon_H462 ]. % 0.47/0.66 apply (zenon_and_s _ _ zenon_H461). zenon_intro zenon_H464. zenon_intro zenon_H463. % 0.47/0.66 exact (zenon_H463 ax1_364). % 0.47/0.66 cut ((genlmt (c_tptp_member3993_mt) (c_tptp_spindleheadmt)) = (genlmt (c_tptp_spindlecollectormt) (c_tptp_spindleheadmt))). % 0.47/0.66 intro zenon_D_pnotp. % 0.47/0.66 apply zenon_H45f. % 0.47/0.66 rewrite <- zenon_D_pnotp. % 0.47/0.66 exact ax1_315. % 0.47/0.66 cut (((c_tptp_spindleheadmt) = (c_tptp_spindleheadmt))); [idtac | apply NNPP; zenon_intro zenon_H450]. % 0.47/0.66 cut (((c_tptp_member3993_mt) = (c_tptp_spindlecollectormt))); [idtac | apply NNPP; zenon_intro zenon_H465]. % 0.47/0.66 congruence. % 0.47/0.66 apply (zenon_notand_s _ _ zenon_H462); [ zenon_intro zenon_H467 | zenon_intro zenon_H466 ]. % 0.47/0.66 apply zenon_H467. zenon_intro zenon_H468. % 0.47/0.66 elim (classic ((c_tptp_spindlecollectormt) = (c_tptp_spindlecollectormt))); [ zenon_intro zenon_H469 | zenon_intro zenon_H46a ]. % 0.47/0.66 cut (((c_tptp_spindlecollectormt) = (c_tptp_spindlecollectormt)) = ((c_tptp_member3993_mt) = (c_tptp_spindlecollectormt))). % 0.47/0.66 intro zenon_D_pnotp. % 0.47/0.66 apply zenon_H465. % 0.47/0.66 rewrite <- zenon_D_pnotp. % 0.47/0.66 exact zenon_H469. % 0.47/0.66 cut (((c_tptp_spindlecollectormt) = (c_tptp_spindlecollectormt))); [idtac | apply NNPP; zenon_intro zenon_H46a]. % 0.47/0.66 cut (((c_tptp_spindlecollectormt) = (c_tptp_member3993_mt))); [idtac | apply NNPP; zenon_intro zenon_H464]. % 0.47/0.66 congruence. % 0.47/0.66 exact (zenon_H464 zenon_H468). % 0.47/0.66 apply zenon_H46a. apply refl_equal. % 0.47/0.66 apply zenon_H46a. apply refl_equal. % 0.47/0.66 apply zenon_H466. zenon_intro ax1_364. % 0.47/0.66 generalize (zenon_H451 (c_tptp_spindlecollectormt)). zenon_intro zenon_H46b. % 0.47/0.66 generalize (zenon_H46b (c_tptp_member3993_mt)). zenon_intro zenon_H46c. % 0.47/0.66 generalize (zenon_H46c (c_tptp_spindleheadmt)). zenon_intro zenon_H46d. % 0.47/0.66 apply (zenon_imply_s _ _ zenon_H46d); [ zenon_intro zenon_H463 | zenon_intro zenon_H46e ]. % 0.47/0.66 exact (zenon_H463 ax1_364). % 0.47/0.66 apply (zenon_imply_s _ _ zenon_H46e); [ zenon_intro zenon_H470 | zenon_intro zenon_H46f ]. % 0.47/0.66 exact (zenon_H470 ax1_315). % 0.47/0.66 exact (zenon_H45f zenon_H46f). % 0.47/0.66 apply zenon_H450. apply refl_equal. % 0.47/0.66 cut ((genlmt (c_tptp_spindleheadmt) (c_cyclistsmt)) = (genlmt (c_tptp_spindlecollectormt) (c_cyclistsmt))). % 0.47/0.66 intro zenon_D_pnotp. % 0.47/0.66 apply zenon_H45b. % 0.47/0.66 rewrite <- zenon_D_pnotp. % 0.47/0.66 exact ax1_254. % 0.47/0.66 cut (((c_cyclistsmt) = (c_cyclistsmt))); [idtac | apply NNPP; zenon_intro zenon_H471]. % 0.47/0.66 cut (((c_tptp_spindleheadmt) = (c_tptp_spindlecollectormt))); [idtac | apply NNPP; zenon_intro zenon_H472]. % 0.47/0.66 congruence. % 0.47/0.66 apply (zenon_notand_s _ _ zenon_H45e); [ zenon_intro zenon_H474 | zenon_intro zenon_H473 ]. % 0.47/0.66 apply zenon_H474. zenon_intro zenon_H475. % 0.47/0.66 elim (classic ((c_tptp_spindlecollectormt) = (c_tptp_spindlecollectormt))); [ zenon_intro zenon_H469 | zenon_intro zenon_H46a ]. % 0.47/0.66 cut (((c_tptp_spindlecollectormt) = (c_tptp_spindlecollectormt)) = ((c_tptp_spindleheadmt) = (c_tptp_spindlecollectormt))). % 0.47/0.66 intro zenon_D_pnotp. % 0.47/0.66 apply zenon_H472. % 0.47/0.66 rewrite <- zenon_D_pnotp. % 0.47/0.66 exact zenon_H469. % 0.47/0.66 cut (((c_tptp_spindlecollectormt) = (c_tptp_spindlecollectormt))); [idtac | apply NNPP; zenon_intro zenon_H46a]. % 0.47/0.66 cut (((c_tptp_spindlecollectormt) = (c_tptp_spindleheadmt))); [idtac | apply NNPP; zenon_intro zenon_H460]. % 0.47/0.66 congruence. % 0.47/0.66 exact (zenon_H460 zenon_H475). % 0.47/0.66 apply zenon_H46a. apply refl_equal. % 0.47/0.66 apply zenon_H46a. apply refl_equal. % 0.47/0.66 apply zenon_H473. zenon_intro zenon_H46f. % 0.47/0.66 generalize (zenon_H451 (c_tptp_spindlecollectormt)). zenon_intro zenon_H46b. % 0.47/0.66 generalize (zenon_H46b (c_tptp_spindleheadmt)). zenon_intro zenon_H476. % 0.47/0.66 generalize (zenon_H476 (c_cyclistsmt)). zenon_intro zenon_H477. % 0.47/0.66 apply (zenon_imply_s _ _ zenon_H477); [ zenon_intro zenon_H45f | zenon_intro zenon_H478 ]. % 0.47/0.66 exact (zenon_H45f zenon_H46f). % 0.47/0.66 apply (zenon_imply_s _ _ zenon_H478); [ zenon_intro zenon_H47a | zenon_intro zenon_H479 ]. % 0.47/0.66 exact (zenon_H47a ax1_254). % 0.47/0.66 exact (zenon_H45b zenon_H479). % 0.47/0.66 apply zenon_H471. apply refl_equal. % 0.47/0.66 exact (zenon_H456 zenon_H459). % 0.47/0.66 generalize (ax1_105 (c_tptpridgeline_topographical)). zenon_intro zenon_H47b. % 0.47/0.66 apply (zenon_imply_s _ _ zenon_H47b); [ zenon_intro zenon_H47d | zenon_intro zenon_H47c ]. % 0.47/0.66 apply (zenon_notand_s _ _ zenon_H47d); [ zenon_intro zenon_H47f | zenon_intro zenon_H47e ]. % 0.47/0.66 generalize (ax1_1123 (c_tptp_spindlecollectormt)). zenon_intro zenon_H457. % 0.47/0.66 generalize (zenon_H457 (c_tptp_member235_mt)). zenon_intro zenon_H480. % 0.47/0.66 apply (zenon_imply_s _ _ zenon_H480); [ zenon_intro zenon_H482 | zenon_intro zenon_H481 ]. % 0.47/0.66 apply (zenon_notand_s _ _ zenon_H482); [ zenon_intro zenon_H45c | zenon_intro zenon_H483 ]. % 0.47/0.66 exact (zenon_H45c zenon_H454). % 0.47/0.66 exact (zenon_H483 ax1_419). % 0.47/0.66 exact (zenon_H47f zenon_H481). % 0.47/0.66 exact (zenon_H47e zenon_H455). % 0.47/0.66 exact (zenon_H453 zenon_H47c). % 0.47/0.66 apply zenon_H452. zenon_intro zenon_Tx_bsm. apply NNPP. zenon_intro zenon_H485. % 0.47/0.66 apply zenon_H485. zenon_intro zenon_Ty_bso. apply NNPP. zenon_intro zenon_H487. % 0.47/0.66 apply zenon_H487. zenon_intro zenon_Tz_bsq. apply NNPP. zenon_intro zenon_H489. % 0.47/0.66 apply (zenon_notimply_s _ _ zenon_H489). zenon_intro zenon_H48b. zenon_intro zenon_H48a. % 0.47/0.66 apply (zenon_notimply_s _ _ zenon_H48a). zenon_intro zenon_H48d. zenon_intro zenon_H48c. % 0.47/0.66 generalize (ax1_1128 zenon_Tx_bsm). zenon_intro zenon_H48e. % 0.47/0.66 generalize (zenon_H48e zenon_Ty_bso). zenon_intro zenon_H48f. % 0.47/0.66 generalize (zenon_H48f zenon_Tz_bsq). zenon_intro zenon_H490. % 0.47/0.66 apply (zenon_imply_s _ _ zenon_H490); [ zenon_intro zenon_H492 | zenon_intro zenon_H491 ]. % 0.47/0.66 apply (zenon_notand_s _ _ zenon_H492); [ zenon_intro zenon_H494 | zenon_intro zenon_H493 ]. % 0.47/0.66 exact (zenon_H494 zenon_H48b). % 0.47/0.66 exact (zenon_H493 zenon_H48d). % 0.47/0.66 exact (zenon_H48c zenon_H491). % 0.47/0.66 Qed. % 0.47/0.66 % SZS output end Proof % 0.47/0.66 (* END-PROOF *) % 0.47/0.66 nodes searched: 6209 % 0.47/0.66 max branch formulas: 4255 % 0.47/0.66 proof nodes created: 43 % 0.47/0.66 formulas created: 48168 % 0.47/0.66 %------------------------------------------------------------------------------