%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : CSR056+1 : 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 00:02:17 EDT 2022 % Result : Theorem 0.19s 0.50s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : CSR056+1 : TPTP v8.1.0. Released v3.4.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n019.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 : Thu Jun 9 21:56:25 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.50 (* PROOF-FOUND *) % 0.19/0.50 % SZS status Theorem % 0.19/0.50 (* BEGIN-PROOF *) % 0.19/0.50 % SZS output start Proof % 0.19/0.50 Theorem query56 : (exists QUANTITY : zenon_U, ((mtvisible (c_tptp_member3717_mt))->(tptpofobject (c_tptpartsupplies) QUANTITY))). % 0.19/0.50 Proof. % 0.19/0.50 apply NNPP. intro zenon_G. % 0.19/0.50 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_H3a | zenon_intro zenon_H3b ]. % 0.19/0.50 apply (zenon_imply_s _ _ just12); [ zenon_intro zenon_H3d | zenon_intro zenon_H3c ]. % 0.19/0.50 apply zenon_G. exists zenon_E. apply NNPP. zenon_intro zenon_H3e. % 0.19/0.50 apply (zenon_notimply_s _ _ zenon_H3e). zenon_intro zenon_H40. zenon_intro zenon_H3f. % 0.19/0.50 generalize (just47 (c_tptp_member3717_mt)). zenon_intro zenon_H41. % 0.19/0.50 generalize (zenon_H41 (c_cyclistsmt)). zenon_intro zenon_H42. % 0.19/0.50 apply (zenon_imply_s _ _ zenon_H42); [ zenon_intro zenon_H44 | zenon_intro zenon_H43 ]. % 0.19/0.50 apply (zenon_notand_s _ _ zenon_H44); [ zenon_intro zenon_H46 | zenon_intro zenon_H45 ]. % 0.19/0.50 exact (zenon_H46 zenon_H40). % 0.19/0.50 elim (classic ((~((c_tptp_member3717_mt) = (c_tptp_spindleheadmt)))/\(~(genlmt (c_tptp_member3717_mt) (c_tptp_spindleheadmt))))); [ zenon_intro zenon_H47 | zenon_intro zenon_H48 ]. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H4a. zenon_intro zenon_H49. % 0.19/0.50 exact (zenon_H49 just9). % 0.19/0.50 cut ((genlmt (c_tptp_spindleheadmt) (c_cyclistsmt)) = (genlmt (c_tptp_member3717_mt) (c_cyclistsmt))). % 0.19/0.50 intro zenon_D_pnotp. % 0.19/0.50 apply zenon_H45. % 0.19/0.50 rewrite <- zenon_D_pnotp. % 0.19/0.50 exact just8. % 0.19/0.50 cut (((c_cyclistsmt) = (c_cyclistsmt))); [idtac | apply NNPP; zenon_intro zenon_H4b]. % 0.19/0.50 cut (((c_tptp_spindleheadmt) = (c_tptp_member3717_mt))); [idtac | apply NNPP; zenon_intro zenon_H4c]. % 0.19/0.50 congruence. % 0.19/0.50 apply (zenon_notand_s _ _ zenon_H48); [ zenon_intro zenon_H4e | zenon_intro zenon_H4d ]. % 0.19/0.50 apply zenon_H4e. zenon_intro zenon_H4f. % 0.19/0.50 elim (classic ((c_tptp_member3717_mt) = (c_tptp_member3717_mt))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ]. % 0.19/0.50 cut (((c_tptp_member3717_mt) = (c_tptp_member3717_mt)) = ((c_tptp_spindleheadmt) = (c_tptp_member3717_mt))). % 0.19/0.50 intro zenon_D_pnotp. % 0.19/0.50 apply zenon_H4c. % 0.19/0.50 rewrite <- zenon_D_pnotp. % 0.19/0.50 exact zenon_H50. % 0.19/0.50 cut (((c_tptp_member3717_mt) = (c_tptp_member3717_mt))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 0.19/0.50 cut (((c_tptp_member3717_mt) = (c_tptp_spindleheadmt))); [idtac | apply NNPP; zenon_intro zenon_H4a]. % 0.19/0.50 congruence. % 0.19/0.50 exact (zenon_H4a zenon_H4f). % 0.19/0.50 apply zenon_H51. apply refl_equal. % 0.19/0.50 apply zenon_H51. apply refl_equal. % 0.19/0.50 apply zenon_H4d. zenon_intro just9. % 0.19/0.50 generalize (zenon_H3a (c_tptp_member3717_mt)). zenon_intro zenon_H52. % 0.19/0.50 generalize (zenon_H52 (c_tptp_spindleheadmt)). zenon_intro zenon_H53. % 0.19/0.50 generalize (zenon_H53 (c_cyclistsmt)). zenon_intro zenon_H54. % 0.19/0.50 apply (zenon_imply_s _ _ zenon_H54); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.19/0.50 exact (zenon_H49 just9). % 0.19/0.50 apply (zenon_imply_s _ _ zenon_H55); [ zenon_intro zenon_H57 | zenon_intro zenon_H56 ]. % 0.19/0.50 exact (zenon_H57 just8). % 0.19/0.50 exact (zenon_H45 zenon_H56). % 0.19/0.50 apply zenon_H4b. apply refl_equal. % 0.19/0.50 exact (zenon_H3d zenon_H43). % 0.19/0.50 apply zenon_G. exists zenon_E. apply NNPP. zenon_intro zenon_H3e. % 0.19/0.50 apply (zenon_notimply_s _ _ zenon_H3e). zenon_intro zenon_H40. zenon_intro zenon_H3f. % 0.19/0.50 apply zenon_G. exists (f_tptpquantityfn_14 (n_232)). apply NNPP. zenon_intro zenon_H58. % 0.19/0.50 apply (zenon_notimply_s _ _ zenon_H58). zenon_intro zenon_H40. zenon_intro zenon_H59. % 0.19/0.50 generalize (just10 (c_tptpartsupplies)). zenon_intro zenon_H5a. % 0.19/0.50 apply (zenon_imply_s _ _ zenon_H5a); [ zenon_intro zenon_H5c | zenon_intro zenon_H5b ]. % 0.19/0.50 apply (zenon_notand_s _ _ zenon_H5c); [ zenon_intro zenon_H5e | zenon_intro zenon_H5d ]. % 0.19/0.50 generalize (just47 (c_tptp_member3717_mt)). zenon_intro zenon_H41. % 0.19/0.50 generalize (zenon_H41 (c_tptp_spindleheadmt)). zenon_intro zenon_H5f. % 0.19/0.50 apply (zenon_imply_s _ _ zenon_H5f); [ zenon_intro zenon_H61 | zenon_intro zenon_H60 ]. % 0.19/0.50 apply (zenon_notand_s _ _ zenon_H61); [ zenon_intro zenon_H46 | zenon_intro zenon_H49 ]. % 0.19/0.50 exact (zenon_H46 zenon_H40). % 0.19/0.50 exact (zenon_H49 just9). % 0.19/0.50 exact (zenon_H5e zenon_H60). % 0.19/0.50 generalize (just2 (c_tptpartsupplies)). zenon_intro zenon_H62. % 0.19/0.50 apply (zenon_imply_s _ _ zenon_H62); [ zenon_intro zenon_H64 | zenon_intro zenon_H63 ]. % 0.19/0.50 exact (zenon_H64 zenon_H3c). % 0.19/0.50 exact (zenon_H5d zenon_H63). % 0.19/0.50 exact (zenon_H59 zenon_H5b). % 0.19/0.50 apply zenon_H3b. zenon_intro zenon_Tx_dx. apply NNPP. zenon_intro zenon_H66. % 0.19/0.50 apply zenon_H66. zenon_intro zenon_Ty_dz. apply NNPP. zenon_intro zenon_H68. % 0.19/0.50 apply zenon_H68. zenon_intro zenon_Tz_eb. apply NNPP. zenon_intro zenon_H6a. % 0.19/0.50 apply (zenon_notimply_s _ _ zenon_H6a). zenon_intro zenon_H6c. zenon_intro zenon_H6b. % 0.19/0.50 apply (zenon_notimply_s _ _ zenon_H6b). zenon_intro zenon_H6e. zenon_intro zenon_H6d. % 0.19/0.50 generalize (just52 zenon_Tx_dx). zenon_intro zenon_H6f. % 0.19/0.50 generalize (zenon_H6f zenon_Ty_dz). zenon_intro zenon_H70. % 0.19/0.50 generalize (zenon_H70 zenon_Tz_eb). zenon_intro zenon_H71. % 0.19/0.50 apply (zenon_imply_s _ _ zenon_H71); [ zenon_intro zenon_H73 | zenon_intro zenon_H72 ]. % 0.19/0.50 apply (zenon_notand_s _ _ zenon_H73); [ zenon_intro zenon_H75 | zenon_intro zenon_H74 ]. % 0.19/0.50 exact (zenon_H75 zenon_H6c). % 0.19/0.50 exact (zenon_H74 zenon_H6e). % 0.19/0.50 exact (zenon_H6d zenon_H72). % 0.19/0.50 Qed. % 0.19/0.50 % SZS output end Proof % 0.19/0.50 (* END-PROOF *) % 0.19/0.50 nodes searched: 357 % 0.19/0.50 max branch formulas: 220 % 0.19/0.50 proof nodes created: 43 % 0.19/0.50 formulas created: 1597 % 0.19/0.50 %------------------------------------------------------------------------------