%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM558+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n026.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 : Mon Jul 18 15:56:49 EDT 2022 % Result : Theorem 3.44s 3.63s % Output : Proof 3.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : NUM558+3 : TPTP v8.1.0. Released v4.0.0. % 0.10/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n026.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 : Fri Jul 8 01:23:09 EDT 2022 % 0.12/0.33 % CPUTime : % 3.44/3.63 (* PROOF-FOUND *) % 3.44/3.63 % SZS status Theorem % 3.44/3.63 (* BEGIN-PROOF *) % 3.44/3.63 % SZS output start Proof % 3.44/3.63 Theorem m__ : (aElementOf0 (xx) (xT)). % 3.44/3.63 Proof. % 3.44/3.63 assert (zenon_L1_ : (~((aElementOf0 (xx) (sdtmndt0 (xQ) (xy)))\/((xx) = (xx)))) -> False). % 3.44/3.63 do 0 intro. intros zenon_H47. % 3.44/3.63 apply (zenon_notor_s _ _ zenon_H47). zenon_intro zenon_H49. zenon_intro zenon_H48. % 3.44/3.63 apply zenon_H48. apply refl_equal. % 3.44/3.63 (* end of lemma zenon_L1_ *) % 3.44/3.63 apply NNPP. intro zenon_G. % 3.44/3.63 apply (zenon_and_s _ _ m__2202_02). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 3.44/3.63 apply (zenon_and_s _ _ m__2227). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 3.44/3.63 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 3.44/3.63 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 3.44/3.63 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 3.44/3.63 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 3.44/3.63 apply (zenon_and_s _ _ m__2357). zenon_intro zenon_H57. zenon_intro zenon_H56. % 3.44/3.63 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 3.44/3.63 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 3.44/3.63 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 3.44/3.63 apply (zenon_and_s _ _ m__2378). zenon_intro zenon_H5f. zenon_intro zenon_H5e. % 3.44/3.63 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H61. zenon_intro zenon_H60. % 3.44/3.63 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H63. zenon_intro zenon_H62. % 3.44/3.63 generalize (zenon_H53 (xP)). zenon_intro zenon_H64. % 3.44/3.63 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H65. % 3.44/3.63 apply (zenon_imply_s _ _ zenon_H66); [ zenon_intro zenon_H68 | zenon_intro zenon_H67 ]. % 3.44/3.63 generalize (zenon_H55 (xP)). zenon_intro zenon_H69. % 3.44/3.63 apply (zenon_imply_s _ _ zenon_H69); [ zenon_intro zenon_H6b | zenon_intro zenon_H6a ]. % 3.44/3.63 exact (zenon_H6b zenon_H62). % 3.44/3.63 exact (zenon_H68 zenon_H6a). % 3.44/3.63 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H5b. zenon_intro zenon_H6c. % 3.44/3.63 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H6e. zenon_intro zenon_H6d. % 3.44/3.63 generalize (zenon_H6e (xx)). zenon_intro zenon_H6f. % 3.44/3.63 apply (zenon_imply_s _ _ zenon_H6f); [ zenon_intro zenon_H71 | zenon_intro zenon_H70 ]. % 3.44/3.63 generalize (zenon_H5d (xx)). zenon_intro zenon_H72. % 3.44/3.63 apply (zenon_equiv_s _ _ zenon_H72); [ zenon_intro zenon_H71; zenon_intro zenon_H75 | zenon_intro zenon_H74; zenon_intro zenon_H73 ]. % 3.44/3.63 apply (zenon_notand_s _ _ zenon_H75); [ zenon_intro zenon_H76 | zenon_intro zenon_H47 ]. % 3.44/3.63 generalize (mEOfElem (xS)). zenon_intro zenon_H77. % 3.44/3.63 apply (zenon_imply_s _ _ zenon_H77); [ zenon_intro zenon_H79 | zenon_intro zenon_H78 ]. % 3.44/3.63 exact (zenon_H79 zenon_H4b). % 3.44/3.63 generalize (zenon_H78 (xx)). zenon_intro zenon_H7a. % 3.44/3.63 apply (zenon_imply_s _ _ zenon_H7a); [ zenon_intro zenon_H7c | zenon_intro zenon_H7b ]. % 3.44/3.63 exact (zenon_H7c m__2256). % 3.44/3.63 exact (zenon_H76 zenon_H7b). % 3.44/3.63 apply (zenon_L1_); trivial. % 3.44/3.63 exact (zenon_H71 zenon_H74). % 3.44/3.63 exact (zenon_G zenon_H70). % 3.44/3.63 Qed. % 3.44/3.63 % SZS output end Proof % 3.44/3.63 (* END-PROOF *) % 3.44/3.63 nodes searched: 95901 % 3.44/3.63 max branch formulas: 4381 % 3.44/3.63 proof nodes created: 947 % 3.44/3.63 formulas created: 252945 % 3.44/3.63 %------------------------------------------------------------------------------