%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWV179+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 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 : Wed Jul 20 23:03:13 EDT 2022 % Result : Theorem 14.50s 14.71s % Output : Proof 14.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SWV179+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n012.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Wed Jun 15 20:54:39 EDT 2022 % 0.13/0.35 % CPUTime : % 14.50/14.71 (* PROOF-FOUND *) % 14.50/14.71 % SZS status Theorem % 14.50/14.71 (* BEGIN-PROOF *) % 14.50/14.71 % SZS output start Proof % 14.50/14.71 Theorem cl5_nebula_init_0071 : (((leq (n0) (pv68))/\((leq (pv68) (n4))/\((forall A : zenon_U, (((leq (n0) A)/\(leq A (n135299)))->(forall B : zenon_U, (((leq (n0) B)/\(leq B (n4)))->((a_select3 (q_init) A B) = (init))))))/\((forall C : zenon_U, (((leq (n0) C)/\(leq C (n4)))->((a_select3 (center_init) C (n0)) = (init))))/\((forall D : zenon_U, (((leq (n0) D)/\(leq D (n4)))->((a_select2 (muold_init) D) = (init))))/\((forall E : zenon_U, (((leq (n0) E)/\(leq E (pred (pv68))))->((a_select2 (rhoold_init) E) = (init))))/\((forall F : zenon_U, (((leq (n0) F)/\(leq F (n4)))->((a_select2 (mu_init) F) = (init))))/\((forall G : zenon_U, (((leq (n0) G)/\(leq G (n4)))->((a_select2 (rho_init) G) = (init))))/\(forall H : zenon_U, (((leq (n0) H)/\(leq H (n4)))->((a_select2 (sigma_init) H) = (init))))))))))))->((a_select2 (rho_init) (pv68)) = (init))). % 14.50/14.71 Proof. % 14.50/14.71 assert (zenon_L1_ : (gt (succ (pv68)) (n0)) -> (~(leq (n0) (pv68))) -> False). % 14.50/14.71 do 0 intro. intros zenon_H5c zenon_H5d. % 14.50/14.71 generalize (leq_succ_gt_equiv (n0)). zenon_intro zenon_H5e. % 14.50/14.71 generalize (zenon_H5e (pv68)). zenon_intro zenon_H5f. % 14.50/14.71 apply (zenon_equiv_s _ _ zenon_H5f); [ zenon_intro zenon_H5d; zenon_intro zenon_H61 | zenon_intro zenon_H60; zenon_intro zenon_H5c ]. % 14.50/14.71 exact (zenon_H61 zenon_H5c). % 14.50/14.71 exact (zenon_H5d zenon_H60). % 14.50/14.71 (* end of lemma zenon_L1_ *) % 14.50/14.71 assert (zenon_L2_ : (gt (succ (n4)) (pv68)) -> (~(leq (pv68) (n4))) -> False). % 14.50/14.71 do 0 intro. intros zenon_H62 zenon_H63. % 14.50/14.71 generalize (leq_succ_gt_equiv (pv68)). zenon_intro zenon_H64. % 14.50/14.71 generalize (zenon_H64 (n4)). zenon_intro zenon_H65. % 14.50/14.71 apply (zenon_equiv_s _ _ zenon_H65); [ zenon_intro zenon_H63; zenon_intro zenon_H67 | zenon_intro zenon_H66; zenon_intro zenon_H62 ]. % 14.50/14.71 exact (zenon_H67 zenon_H62). % 14.50/14.71 exact (zenon_H63 zenon_H66). % 14.50/14.71 (* end of lemma zenon_L2_ *) % 14.50/14.71 apply NNPP. intro zenon_G. % 14.50/14.71 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H69. zenon_intro zenon_H68. % 14.50/14.71 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a. % 14.50/14.71 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H66. zenon_intro zenon_H6b. % 14.50/14.71 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H6d. zenon_intro zenon_H6c. % 14.50/14.71 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 14.50/14.71 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 14.50/14.71 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 14.50/14.71 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 14.50/14.71 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 14.50/14.71 generalize (leq_succ_gt_equiv (n0)). zenon_intro zenon_H5e. % 14.50/14.71 generalize (zenon_H5e (pv68)). zenon_intro zenon_H5f. % 14.50/14.71 apply (zenon_equiv_s _ _ zenon_H5f); [ zenon_intro zenon_H5d; zenon_intro zenon_H61 | zenon_intro zenon_H60; zenon_intro zenon_H5c ]. % 14.50/14.71 exact (zenon_H5d zenon_H60). % 14.50/14.71 generalize (leq_succ_gt_equiv (pv68)). zenon_intro zenon_H64. % 14.50/14.71 generalize (zenon_H64 (n4)). zenon_intro zenon_H65. % 14.50/14.71 apply (zenon_equiv_s _ _ zenon_H65); [ zenon_intro zenon_H63; zenon_intro zenon_H67 | zenon_intro zenon_H66; zenon_intro zenon_H62 ]. % 14.50/14.71 exact (zenon_H63 zenon_H66). % 14.50/14.71 generalize (zenon_H77 (pv68)). zenon_intro zenon_H78. % 14.50/14.71 apply (zenon_imply_s _ _ zenon_H78); [ zenon_intro zenon_H7a | zenon_intro zenon_H79 ]. % 14.50/14.71 apply (zenon_notand_s _ _ zenon_H7a); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 14.50/14.71 apply (zenon_L1_); trivial. % 14.50/14.71 apply (zenon_L2_); trivial. % 14.50/14.71 exact (zenon_H68 zenon_H79). % 14.50/14.71 Qed. % 14.50/14.71 % SZS output end Proof % 14.50/14.71 (* END-PROOF *) % 14.50/14.71 nodes searched: 959135 % 14.50/14.71 max branch formulas: 21993 % 14.50/14.71 proof nodes created: 2427 % 14.50/14.71 formulas created: 427904 % 14.50/14.71 %------------------------------------------------------------------------------