%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWV132+1 : TPTP v8.1.0. Bugfixed v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n015.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 23:03:03 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 % 0.03/0.11 % Problem : SWV132+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.13/0.33 % Computer : n015.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Thu Jun 16 05:35:40 EDT 2022 % 0.13/0.33 % 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 gauss_array_0002 : (((~(leq (tptp_float_0_001) (pv1341)))/\(((~(leq (tptp_float_0_001) (pv1341)))->(leq (n0) (s_best7)))/\(((~(leq (tptp_float_0_001) (pv1341)))->(leq (n0) (s_sworst7)))/\(((~(leq (tptp_float_0_001) (pv1341)))->(leq (n0) (s_worst7)))/\(((~(leq (tptp_float_0_001) (pv1341)))->(leq (s_best7) (n3)))/\(((~(leq (tptp_float_0_001) (pv1341)))->(leq (s_sworst7) (n3)))/\(((~(leq (tptp_float_0_001) (pv1341)))->(leq (s_worst7) (n3)))/\(((gt (loopcounter) (n0))->(leq (n0) (s_best7)))/\(((gt (loopcounter) (n0))->(leq (n0) (s_sworst7)))/\(((gt (loopcounter) (n0))->(leq (n0) (s_worst7)))/\(((gt (loopcounter) (n0))->(leq (s_best7) (n3)))/\(((gt (loopcounter) (n0))->(leq (s_sworst7) (n3)))/\((gt (loopcounter) (n0))->(leq (s_worst7) (n3)))))))))))))))->(leq (s_best7) (n3))). % 0.19/0.50 Proof. % 0.19/0.50 apply NNPP. intro zenon_G. % 0.19/0.50 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H56. zenon_intro zenon_H55. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H58. zenon_intro zenon_H57. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H5a. zenon_intro zenon_H59. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H5c. zenon_intro zenon_H5b. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H5e. zenon_intro zenon_H5d. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H60. zenon_intro zenon_H5f. % 0.19/0.50 generalize (leq_succ_gt_equiv (tptp_float_0_001)). zenon_intro zenon_H61. % 0.19/0.50 generalize (zenon_H61 (pv1341)). zenon_intro zenon_H62. % 0.19/0.50 apply (zenon_equiv_s _ _ zenon_H62); [ zenon_intro zenon_H58; zenon_intro zenon_H65 | zenon_intro zenon_H64; zenon_intro zenon_H63 ]. % 0.19/0.50 generalize (leq_succ_gt_equiv (s_best7)). zenon_intro zenon_H66. % 0.19/0.50 generalize (zenon_H66 (n3)). zenon_intro zenon_H67. % 0.19/0.50 apply (zenon_equiv_s _ _ zenon_H67); [ zenon_intro zenon_H55; zenon_intro zenon_H6a | zenon_intro zenon_H69; zenon_intro zenon_H68 ]. % 0.19/0.50 apply (zenon_imply_s _ _ zenon_H60); [ zenon_intro zenon_H6b | zenon_intro zenon_H69 ]. % 0.19/0.50 apply zenon_H6b. zenon_intro zenon_H64. % 0.19/0.50 generalize (leq_succ_gt_equiv (tptp_float_0_001)). zenon_intro zenon_H61. % 0.19/0.50 generalize (zenon_H61 (pv1341)). zenon_intro zenon_H62. % 0.19/0.50 apply (zenon_equiv_s _ _ zenon_H62); [ zenon_intro zenon_H58; zenon_intro zenon_H65 | zenon_intro zenon_H64; zenon_intro zenon_H63 ]. % 0.19/0.50 exact (zenon_H58 zenon_H64). % 0.19/0.50 exact (zenon_H65 zenon_H63). % 0.19/0.50 generalize (leq_succ_gt_equiv (s_best7)). zenon_intro zenon_H66. % 0.19/0.50 generalize (zenon_H66 (n3)). zenon_intro zenon_H67. % 0.19/0.50 apply (zenon_equiv_s _ _ zenon_H67); [ zenon_intro zenon_H55; zenon_intro zenon_H6a | zenon_intro zenon_H69; zenon_intro zenon_H68 ]. % 0.19/0.50 exact (zenon_H55 zenon_H69). % 0.19/0.50 exact (zenon_H6a zenon_H68). % 0.19/0.50 exact (zenon_H55 zenon_H69). % 0.19/0.50 exact (zenon_H58 zenon_H64). % 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: 15 % 0.19/0.50 max branch formulas: 104 % 0.19/0.50 proof nodes created: 9 % 0.19/0.50 formulas created: 1436 % 0.19/0.50 %------------------------------------------------------------------------------