TSTP Solution File: SWV132+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% 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 :
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%----WARNING: Could not form TPTP format derivation
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%----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
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