TSTP Solution File: SWV078+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% 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 :
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%----WARNING: Could not form TPTP format derivation
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%----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
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