TSTP Solution File: SWV077+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SWV077+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n032.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 0.13s 0.40s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWV077+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.00/0.09 % Command : run_zenon %s %d
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Wed Jun 15 15:41:29 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.13/0.40 (* PROOF-FOUND *)
% 0.13/0.40 % SZS status Theorem
% 0.13/0.40 (* BEGIN-PROOF *)
% 0.13/0.40 % SZS output start Proof
% 0.13/0.40 Theorem cl5_nebula_array_0018 : (((leq (n0) (pv31))/\(leq (pv31) (minus (n5) (n1))))->((leq (n0) (pv31))/\((leq (pv31) (minus (n5) (n1)))/\(((~((n0) = (pv40)))->((leq (n0) (pv31))/\(leq (pv31) (minus (n5) (n1)))))/\(((n0) = (pv40))->(true)))))).
% 0.13/0.40 Proof.
% 0.13/0.40 assert (zenon_L1_ : (gt (succ (pv31)) (n0)) -> (~(leq (n0) (pv31))) -> False).
% 0.13/0.40 do 0 intro. intros zenon_H55 zenon_H56.
% 0.13/0.40 generalize (leq_succ_gt_equiv (n0)). zenon_intro zenon_H57.
% 0.13/0.40 generalize (zenon_H57 (pv31)). zenon_intro zenon_H58.
% 0.13/0.40 apply (zenon_equiv_s _ _ zenon_H58); [ zenon_intro zenon_H56; zenon_intro zenon_H5a | zenon_intro zenon_H59; zenon_intro zenon_H55 ].
% 0.13/0.40 exact (zenon_H5a zenon_H55).
% 0.13/0.40 exact (zenon_H56 zenon_H59).
% 0.13/0.40 (* end of lemma zenon_L1_ *)
% 0.13/0.40 assert (zenon_L2_ : (gt (succ (minus (n5) (n1))) (pv31)) -> (~(leq (pv31) (minus (n5) (n1)))) -> False).
% 0.13/0.40 do 0 intro. intros zenon_H5b zenon_H5c.
% 0.13/0.40 generalize (leq_succ_gt_equiv (pv31)). zenon_intro zenon_H5d.
% 0.13/0.40 generalize (zenon_H5d (minus (n5) (n1))). zenon_intro zenon_H5e.
% 0.13/0.40 apply (zenon_equiv_s _ _ zenon_H5e); [ zenon_intro zenon_H5c; zenon_intro zenon_H60 | zenon_intro zenon_H5f; zenon_intro zenon_H5b ].
% 0.13/0.40 exact (zenon_H60 zenon_H5b).
% 0.13/0.40 exact (zenon_H5c zenon_H5f).
% 0.13/0.40 (* end of lemma zenon_L2_ *)
% 0.13/0.40 apply NNPP. intro zenon_G.
% 0.13/0.40 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H62. zenon_intro zenon_H61.
% 0.13/0.40 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H59. zenon_intro zenon_H5f.
% 0.13/0.40 generalize (leq_succ_gt_equiv (n0)). zenon_intro zenon_H57.
% 0.13/0.40 generalize (zenon_H57 (pv31)). zenon_intro zenon_H58.
% 0.13/0.40 apply (zenon_equiv_s _ _ zenon_H58); [ zenon_intro zenon_H56; zenon_intro zenon_H5a | zenon_intro zenon_H59; zenon_intro zenon_H55 ].
% 0.13/0.40 exact (zenon_H56 zenon_H59).
% 0.13/0.40 generalize (leq_succ_gt_equiv (pv31)). zenon_intro zenon_H5d.
% 0.13/0.40 generalize (zenon_H5d (minus (n5) (n1))). zenon_intro zenon_H5e.
% 0.13/0.40 apply (zenon_equiv_s _ _ zenon_H5e); [ zenon_intro zenon_H5c; zenon_intro zenon_H60 | zenon_intro zenon_H5f; zenon_intro zenon_H5b ].
% 0.13/0.40 exact (zenon_H5c zenon_H5f).
% 0.13/0.40 apply (zenon_notand_s _ _ zenon_H61); [ zenon_intro zenon_H56 | zenon_intro zenon_H63 ].
% 0.13/0.40 apply (zenon_L1_); trivial.
% 0.13/0.40 apply (zenon_notand_s _ _ zenon_H63); [ zenon_intro zenon_H5c | zenon_intro zenon_H64 ].
% 0.13/0.40 apply (zenon_L2_); trivial.
% 0.13/0.40 apply (zenon_notand_s _ _ zenon_H64); [ zenon_intro zenon_H66 | zenon_intro zenon_H65 ].
% 0.13/0.40 apply (zenon_notimply_s _ _ zenon_H66). zenon_intro zenon_H68. zenon_intro zenon_H67.
% 0.13/0.40 apply (zenon_notand_s _ _ zenon_H67); [ zenon_intro zenon_H56 | zenon_intro zenon_H5c ].
% 0.13/0.40 apply (zenon_L1_); trivial.
% 0.13/0.40 apply (zenon_L2_); trivial.
% 0.13/0.40 apply (zenon_notimply_s _ _ zenon_H65). zenon_intro zenon_H6a. zenon_intro zenon_H69.
% 0.13/0.40 exact (zenon_H69 ttrue).
% 0.13/0.40 Qed.
% 0.13/0.40 % SZS output end Proof
% 0.13/0.40 (* END-PROOF *)
% 0.13/0.40 nodes searched: 12
% 0.13/0.40 max branch formulas: 88
% 0.13/0.40 proof nodes created: 12
% 0.13/0.40 formulas created: 1350
% 0.13/0.40
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