TSTP Solution File: SWV065+1 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : SWV065+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n005.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 23:02:50 EDT 2022
% Result : Theorem 0.21s 0.52s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWV065+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.13 % Command : run_zenon %s %d
% 0.12/0.35 % Computer : n005.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 600
% 0.12/0.35 % DateTime : Wed Jun 15 09:36:54 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.21/0.52 (* PROOF-FOUND *)
% 0.21/0.52 % SZS status Theorem
% 0.21/0.52 (* BEGIN-PROOF *)
% 0.21/0.52 % SZS output start Proof
% 0.21/0.52 Theorem cl5_nebula_array_0006 : (((leq (n0) (pv10))/\((leq (n0) (pv53))/\((leq (pv10) (minus (n135300) (n1)))/\(leq (pv53) (minus (n5) (n1))))))->((leq (n0) (n0))/\((leq (n0) (pv10))/\((leq (n0) (pv53))/\((leq (pv10) (minus (n135300) (n1)))/\(leq (pv53) (minus (n5) (n1)))))))).
% 0.21/0.52 Proof.
% 0.21/0.52 apply NNPP. intro zenon_G.
% 0.21/0.52 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H5d. zenon_intro zenon_H5c.
% 0.21/0.52 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H5f. zenon_intro zenon_H5e.
% 0.21/0.52 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H61. zenon_intro zenon_H60.
% 0.21/0.52 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H63. zenon_intro zenon_H62.
% 0.21/0.52 generalize (leq_succ_gt_equiv (n0)). zenon_intro zenon_H64.
% 0.21/0.52 generalize (zenon_H64 (pv10)). zenon_intro zenon_H65.
% 0.21/0.52 apply (zenon_equiv_s _ _ zenon_H65); [ zenon_intro zenon_H68; zenon_intro zenon_H67 | zenon_intro zenon_H5f; zenon_intro zenon_H66 ].
% 0.21/0.52 exact (zenon_H68 zenon_H5f).
% 0.21/0.52 generalize (leq_succ_gt_equiv (n0)). zenon_intro zenon_H64.
% 0.21/0.52 generalize (zenon_H64 (pv53)). zenon_intro zenon_H69.
% 0.21/0.52 apply (zenon_equiv_s _ _ zenon_H69); [ zenon_intro zenon_H6c; zenon_intro zenon_H6b | zenon_intro zenon_H61; zenon_intro zenon_H6a ].
% 0.21/0.52 exact (zenon_H6c zenon_H61).
% 0.21/0.52 generalize (leq_succ_gt_equiv (pv10)). zenon_intro zenon_H6d.
% 0.21/0.52 generalize (zenon_H6d (minus (n135300) (n1))). zenon_intro zenon_H6e.
% 0.21/0.52 apply (zenon_equiv_s _ _ zenon_H6e); [ zenon_intro zenon_H71; zenon_intro zenon_H70 | zenon_intro zenon_H63; zenon_intro zenon_H6f ].
% 0.21/0.52 exact (zenon_H71 zenon_H63).
% 0.21/0.52 generalize (leq_succ_gt_equiv (pv53)). zenon_intro zenon_H72.
% 0.21/0.52 generalize (zenon_H72 (minus (n5) (n1))). zenon_intro zenon_H73.
% 0.21/0.52 apply (zenon_equiv_s _ _ zenon_H73); [ zenon_intro zenon_H76; zenon_intro zenon_H75 | zenon_intro zenon_H62; zenon_intro zenon_H74 ].
% 0.21/0.52 exact (zenon_H76 zenon_H62).
% 0.21/0.52 apply (zenon_notand_s _ _ zenon_H5c); [ zenon_intro zenon_H78 | zenon_intro zenon_H77 ].
% 0.21/0.52 generalize (reflexivity_leq (n0)). zenon_intro zenon_H79.
% 0.21/0.52 exact (zenon_H78 zenon_H79).
% 0.21/0.52 apply (zenon_notand_s _ _ zenon_H77); [ zenon_intro zenon_H68 | zenon_intro zenon_H7a ].
% 0.21/0.52 generalize (leq_succ_gt_equiv (n0)). zenon_intro zenon_H64.
% 0.21/0.52 generalize (zenon_H64 (pv10)). zenon_intro zenon_H65.
% 0.21/0.52 apply (zenon_equiv_s _ _ zenon_H65); [ zenon_intro zenon_H68; zenon_intro zenon_H67 | zenon_intro zenon_H5f; zenon_intro zenon_H66 ].
% 0.21/0.52 exact (zenon_H67 zenon_H66).
% 0.21/0.52 exact (zenon_H68 zenon_H5f).
% 0.21/0.52 apply (zenon_notand_s _ _ zenon_H7a); [ zenon_intro zenon_H6c | zenon_intro zenon_H7b ].
% 0.21/0.52 generalize (leq_succ_gt_equiv (n0)). zenon_intro zenon_H64.
% 0.21/0.52 generalize (zenon_H64 (pv53)). zenon_intro zenon_H69.
% 0.21/0.52 apply (zenon_equiv_s _ _ zenon_H69); [ zenon_intro zenon_H6c; zenon_intro zenon_H6b | zenon_intro zenon_H61; zenon_intro zenon_H6a ].
% 0.21/0.52 exact (zenon_H6b zenon_H6a).
% 0.21/0.52 exact (zenon_H6c zenon_H61).
% 0.21/0.52 apply (zenon_notand_s _ _ zenon_H7b); [ zenon_intro zenon_H71 | zenon_intro zenon_H76 ].
% 0.21/0.52 generalize (leq_succ_gt_equiv (pv10)). zenon_intro zenon_H6d.
% 0.21/0.52 generalize (zenon_H6d (minus (n135300) (n1))). zenon_intro zenon_H6e.
% 0.21/0.52 apply (zenon_equiv_s _ _ zenon_H6e); [ zenon_intro zenon_H71; zenon_intro zenon_H70 | zenon_intro zenon_H63; zenon_intro zenon_H6f ].
% 0.21/0.52 exact (zenon_H70 zenon_H6f).
% 0.21/0.52 exact (zenon_H71 zenon_H63).
% 0.21/0.52 generalize (leq_succ_gt_equiv (pv53)). zenon_intro zenon_H72.
% 0.21/0.52 generalize (zenon_H72 (minus (n5) (n1))). zenon_intro zenon_H73.
% 0.21/0.52 apply (zenon_equiv_s _ _ zenon_H73); [ zenon_intro zenon_H76; zenon_intro zenon_H75 | zenon_intro zenon_H62; zenon_intro zenon_H74 ].
% 0.21/0.52 exact (zenon_H75 zenon_H74).
% 0.21/0.52 exact (zenon_H76 zenon_H62).
% 0.21/0.52 Qed.
% 0.21/0.52 % SZS output end Proof
% 0.21/0.52 (* END-PROOF *)
% 0.21/0.52 nodes searched: 16
% 0.21/0.52 max branch formulas: 97
% 0.21/0.52 proof nodes created: 15
% 0.21/0.52 formulas created: 1657
% 0.21/0.52
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