%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWV078+1 : TPTP v8.1.0. Bugfixed v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n024.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 23:02:53 EDT 2022 % Result : Theorem 0.19s 0.47s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : SWV078+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n024.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 06:04:33 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.47 (* PROOF-FOUND *) % 0.19/0.47 % SZS status Theorem % 0.19/0.47 (* BEGIN-PROOF *) % 0.19/0.47 % SZS output start Proof % 0.19/0.47 Theorem cl5_nebula_array_0019 : (((leq (n0) (pv31))/\(leq (pv31) (minus (n5) (n1))))->(((~((n0) = (pv70)))->((leq (n0) (pv31))/\(leq (pv31) (minus (n5) (n1)))))/\(((n0) = (pv70))->(true)))). % 0.19/0.47 Proof. % 0.19/0.47 apply NNPP. intro zenon_G. % 0.19/0.47 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H56. zenon_intro zenon_H55. % 0.19/0.47 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H58. zenon_intro zenon_H57. % 0.19/0.47 generalize (leq_succ_gt_equiv (n0)). zenon_intro zenon_H59. % 0.19/0.47 generalize (zenon_H59 (pv31)). zenon_intro zenon_H5a. % 0.19/0.47 apply (zenon_equiv_s _ _ zenon_H5a); [ zenon_intro zenon_H5d; zenon_intro zenon_H5c | zenon_intro zenon_H58; zenon_intro zenon_H5b ]. % 0.19/0.47 exact (zenon_H5d zenon_H58). % 0.19/0.47 generalize (leq_succ_gt_equiv (pv31)). zenon_intro zenon_H5e. % 0.19/0.47 generalize (zenon_H5e (minus (n5) (n1))). zenon_intro zenon_H5f. % 0.19/0.47 apply (zenon_equiv_s _ _ zenon_H5f); [ zenon_intro zenon_H62; zenon_intro zenon_H61 | zenon_intro zenon_H57; zenon_intro zenon_H60 ]. % 0.19/0.47 exact (zenon_H62 zenon_H57). % 0.19/0.47 apply (zenon_notand_s _ _ zenon_H55); [ zenon_intro zenon_H64 | zenon_intro zenon_H63 ]. % 0.19/0.47 apply (zenon_notimply_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.19/0.47 apply (zenon_notand_s _ _ zenon_H65); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ]. % 0.19/0.47 generalize (leq_succ_gt_equiv (n0)). zenon_intro zenon_H59. % 0.19/0.47 generalize (zenon_H59 (pv31)). zenon_intro zenon_H5a. % 0.19/0.47 apply (zenon_equiv_s _ _ zenon_H5a); [ zenon_intro zenon_H5d; zenon_intro zenon_H5c | zenon_intro zenon_H58; zenon_intro zenon_H5b ]. % 0.19/0.47 exact (zenon_H5c zenon_H5b). % 0.19/0.47 exact (zenon_H5d zenon_H58). % 0.19/0.47 generalize (leq_succ_gt_equiv (pv31)). zenon_intro zenon_H5e. % 0.19/0.47 generalize (zenon_H5e (minus (n5) (n1))). zenon_intro zenon_H5f. % 0.19/0.47 apply (zenon_equiv_s _ _ zenon_H5f); [ zenon_intro zenon_H62; zenon_intro zenon_H61 | zenon_intro zenon_H57; zenon_intro zenon_H60 ]. % 0.19/0.47 exact (zenon_H61 zenon_H60). % 0.19/0.47 exact (zenon_H62 zenon_H57). % 0.19/0.47 apply (zenon_notimply_s _ _ zenon_H63). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.19/0.47 exact (zenon_H67 ttrue). % 0.19/0.47 Qed. % 0.19/0.47 % SZS output end Proof % 0.19/0.47 (* END-PROOF *) % 0.19/0.47 nodes searched: 12 % 0.19/0.47 max branch formulas: 89 % 0.19/0.47 proof nodes created: 12 % 0.19/0.47 formulas created: 1346 % 0.19/0.47 %------------------------------------------------------------------------------