%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWV131+1 : TPTP v8.1.0. Bugfixed v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n020.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 0.21s 0.54s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : SWV131+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.08/0.14 % Command : run_zenon %s %d % 0.14/0.36 % Computer : n020.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 600 % 0.14/0.36 % DateTime : Wed Jun 15 18:18:49 EDT 2022 % 0.14/0.36 % CPUTime : % 0.21/0.54 (* PROOF-FOUND *) % 0.21/0.54 % SZS status Theorem % 0.21/0.54 (* BEGIN-PROOF *) % 0.21/0.54 % SZS output start Proof % 0.21/0.54 Theorem gauss_array_0001 : (((~(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 (n0) (s_best7))). % 0.21/0.54 Proof. % 0.21/0.54 apply NNPP. intro zenon_G. % 0.21/0.54 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H56. zenon_intro zenon_H55. % 0.21/0.54 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H58. zenon_intro zenon_H57. % 0.21/0.54 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H5a. zenon_intro zenon_H59. % 0.21/0.54 generalize (leq_succ_gt_equiv (tptp_float_0_001)). zenon_intro zenon_H5b. % 0.21/0.54 generalize (zenon_H5b (pv1341)). zenon_intro zenon_H5c. % 0.21/0.54 apply (zenon_equiv_s _ _ zenon_H5c); [ zenon_intro zenon_H58; zenon_intro zenon_H5f | zenon_intro zenon_H5e; zenon_intro zenon_H5d ]. % 0.21/0.54 generalize (leq_succ_gt_equiv (n0)). zenon_intro zenon_H60. % 0.21/0.54 generalize (zenon_H60 (s_best7)). zenon_intro zenon_H61. % 0.21/0.54 apply (zenon_equiv_s _ _ zenon_H61); [ zenon_intro zenon_H55; zenon_intro zenon_H64 | zenon_intro zenon_H63; zenon_intro zenon_H62 ]. % 0.21/0.54 apply (zenon_imply_s _ _ zenon_H5a); [ zenon_intro zenon_H65 | zenon_intro zenon_H63 ]. % 0.21/0.54 apply zenon_H65. zenon_intro zenon_H5e. % 0.21/0.54 generalize (leq_succ_gt_equiv (tptp_float_0_001)). zenon_intro zenon_H5b. % 0.21/0.54 generalize (zenon_H5b (pv1341)). zenon_intro zenon_H5c. % 0.21/0.54 apply (zenon_equiv_s _ _ zenon_H5c); [ zenon_intro zenon_H58; zenon_intro zenon_H5f | zenon_intro zenon_H5e; zenon_intro zenon_H5d ]. % 0.21/0.54 exact (zenon_H58 zenon_H5e). % 0.21/0.54 exact (zenon_H5f zenon_H5d). % 0.21/0.54 generalize (leq_succ_gt_equiv (n0)). zenon_intro zenon_H60. % 0.21/0.54 generalize (zenon_H60 (s_best7)). zenon_intro zenon_H61. % 0.21/0.54 apply (zenon_equiv_s _ _ zenon_H61); [ zenon_intro zenon_H55; zenon_intro zenon_H64 | zenon_intro zenon_H63; zenon_intro zenon_H62 ]. % 0.21/0.54 exact (zenon_H55 zenon_H63). % 0.21/0.54 exact (zenon_H64 zenon_H62). % 0.21/0.54 exact (zenon_H55 zenon_H63). % 0.21/0.54 exact (zenon_H58 zenon_H5e). % 0.21/0.54 Qed. % 0.21/0.54 % SZS output end Proof % 0.21/0.54 (* END-PROOF *) % 0.21/0.54 nodes searched: 9 % 0.21/0.54 max branch formulas: 98 % 0.21/0.54 proof nodes created: 9 % 0.21/0.54 formulas created: 1389 % 0.21/0.54 %------------------------------------------------------------------------------