%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWV169+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 23:03:11 EDT 2022 % Result : Theorem 8.76s 9.00s % Output : Proof 8.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SWV169+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.11/0.12 % 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 : Thu Jun 16 00:47:54 EDT 2022 % 0.12/0.33 % CPUTime : % 8.76/9.00 (* PROOF-FOUND *) % 8.76/9.00 % SZS status Theorem % 8.76/9.00 (* BEGIN-PROOF *) % 8.76/9.00 % SZS output start Proof % 8.76/9.00 Theorem cl5_nebula_init_0021 : (((leq (n0) (pv10))/\((leq (n0) (pv11))/\((leq (n0) (pv65))/\((leq (pv10) (n135299))/\((leq (pv11) (n4))/\((leq (pv65) (n4))/\((forall A : zenon_U, (forall B : zenon_U, (((leq (n0) A)/\((leq (n0) B)/\((leq A (n135299))/\(leq B (n4)))))->(((A = (pv10))/\(gt (pv11) B))->((a_select3 (q_init) A B) = (init))))))/\((forall C : zenon_U, (forall D : zenon_U, (((leq (n0) C)/\((leq (n0) D)/\((leq C (n135299))/\(leq D (n4)))))->((gt (pv10) C)->((a_select3 (q_init) C D) = (init))))))/\((forall E : zenon_U, (((leq (n0) E)/\(leq E (pred (pv10))))->(forall F : zenon_U, (((leq (n0) F)/\(leq F (n4)))->((a_select3 (q_init) E F) = (init))))))/\(forall G : zenon_U, (((leq (n0) G)/\(leq G (n4)))->((a_select3 (center_init) G (n0)) = (init)))))))))))))->((a_select3 (center_init) (pv65) (n0)) = (init))). % 8.76/9.00 Proof. % 8.76/9.00 assert (zenon_L1_ : (gt (succ (pv65)) (n0)) -> (~(leq (n0) (pv65))) -> False). % 8.76/9.00 do 0 intro. intros zenon_H5c zenon_H5d. % 8.76/9.00 generalize (leq_succ_gt_equiv (n0)). zenon_intro zenon_H5e. % 8.76/9.00 generalize (zenon_H5e (pv65)). zenon_intro zenon_H5f. % 8.76/9.00 apply (zenon_equiv_s _ _ zenon_H5f); [ zenon_intro zenon_H5d; zenon_intro zenon_H61 | zenon_intro zenon_H60; zenon_intro zenon_H5c ]. % 8.76/9.00 exact (zenon_H61 zenon_H5c). % 8.76/9.00 exact (zenon_H5d zenon_H60). % 8.76/9.00 (* end of lemma zenon_L1_ *) % 8.76/9.00 assert (zenon_L2_ : (gt (succ (n4)) (pv65)) -> (~(leq (pv65) (n4))) -> False). % 8.76/9.00 do 0 intro. intros zenon_H62 zenon_H63. % 8.76/9.00 generalize (leq_succ_gt_equiv (pv65)). zenon_intro zenon_H64. % 8.76/9.00 generalize (zenon_H64 (n4)). zenon_intro zenon_H65. % 8.76/9.00 apply (zenon_equiv_s _ _ zenon_H65); [ zenon_intro zenon_H63; zenon_intro zenon_H67 | zenon_intro zenon_H66; zenon_intro zenon_H62 ]. % 8.76/9.00 exact (zenon_H67 zenon_H62). % 8.76/9.00 exact (zenon_H63 zenon_H66). % 8.76/9.00 (* end of lemma zenon_L2_ *) % 8.76/9.00 apply NNPP. intro zenon_G. % 8.76/9.00 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H69. zenon_intro zenon_H68. % 8.76/9.00 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H6b. zenon_intro zenon_H6a. % 8.76/9.00 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H6d. zenon_intro zenon_H6c. % 8.76/9.00 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H60. zenon_intro zenon_H6e. % 8.76/9.00 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H70. zenon_intro zenon_H6f. % 8.76/9.00 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H72. zenon_intro zenon_H71. % 8.76/9.00 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H66. zenon_intro zenon_H73. % 8.76/9.00 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H75. zenon_intro zenon_H74. % 8.76/9.00 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 8.76/9.00 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 8.76/9.00 generalize (leq_succ_gt_equiv (n0)). zenon_intro zenon_H5e. % 8.76/9.00 generalize (zenon_H5e (pv65)). zenon_intro zenon_H5f. % 8.76/9.00 apply (zenon_equiv_s _ _ zenon_H5f); [ zenon_intro zenon_H5d; zenon_intro zenon_H61 | zenon_intro zenon_H60; zenon_intro zenon_H5c ]. % 8.76/9.00 exact (zenon_H5d zenon_H60). % 8.76/9.00 generalize (leq_succ_gt_equiv (pv65)). zenon_intro zenon_H64. % 8.76/9.00 generalize (zenon_H64 (n4)). zenon_intro zenon_H65. % 8.76/9.00 apply (zenon_equiv_s _ _ zenon_H65); [ zenon_intro zenon_H63; zenon_intro zenon_H67 | zenon_intro zenon_H66; zenon_intro zenon_H62 ]. % 8.76/9.00 exact (zenon_H63 zenon_H66). % 8.76/9.00 generalize (zenon_H78 (pv65)). zenon_intro zenon_H7a. % 8.76/9.00 apply (zenon_imply_s _ _ zenon_H7a); [ zenon_intro zenon_H7c | zenon_intro zenon_H7b ]. % 8.76/9.00 apply (zenon_notand_s _ _ zenon_H7c); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 8.76/9.00 apply (zenon_L1_); trivial. % 8.76/9.00 apply (zenon_L2_); trivial. % 8.76/9.00 exact (zenon_H68 zenon_H7b). % 8.76/9.00 Qed. % 8.76/9.00 % SZS output end Proof % 8.76/9.00 (* END-PROOF *) % 8.76/9.00 nodes searched: 684017 % 8.76/9.00 max branch formulas: 15497 % 8.76/9.00 proof nodes created: 1487 % 8.76/9.00 formulas created: 288043 % 8.76/9.00 %------------------------------------------------------------------------------