TSTP Solution File: SWV182+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SWV182+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n018.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 23:03:14 EDT 2022
% Result : Theorem 109.46s 109.70s
% Output : Proof 109.46s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV182+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.14 % Command : run_zenon %s %d
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jun 14 15:59:59 EDT 2022
% 0.14/0.36 % CPUTime :
% 109.46/109.70 (* PROOF-FOUND *)
% 109.46/109.70 % SZS status Theorem
% 109.46/109.70 (* BEGIN-PROOF *)
% 109.46/109.70 % SZS output start Proof
% 109.46/109.70 Theorem cl5_nebula_init_0086 : (((leq (tptp_float_0_001) (pv76))/\((leq (n1) (loopcounter))/\((forall A : zenon_U, (((leq (n0) A)/\(leq A (n135299)))->(forall B : zenon_U, (((leq (n0) B)/\(leq B (n4)))->((a_select3 (q_init) A B) = (init))))))/\((forall C : zenon_U, (((leq (n0) C)/\(leq C (n4)))->((a_select3 (center_init) C (n0)) = (init))))/\(((gt (loopcounter) (n0))->(forall D : zenon_U, (((leq (n0) D)/\(leq D (n4)))->((a_select2 (mu_init) D) = (init)))))/\(((gt (loopcounter) (n0))->(forall E : zenon_U, (((leq (n0) E)/\(leq E (n4)))->((a_select2 (rho_init) E) = (init)))))/\((gt (loopcounter) (n0))->(forall F : zenon_U, (((leq (n0) F)/\(leq F (n4)))->((a_select2 (sigma_init) F) = (init)))))))))))->(forall E : zenon_U, (((leq (n0) E)/\(leq E (n4)))->((a_select2 (rho_init) E) = (init))))).
% 109.46/109.70 Proof.
% 109.46/109.70 assert (zenon_L1_ : (~(gt (succ (loopcounter)) (succ (n0)))) -> (gt (succ (loopcounter)) (n1)) -> False).
% 109.46/109.70 do 0 intro. intros zenon_H5c zenon_H5d.
% 109.46/109.70 elim (classic ((n1) = (succ (n0)))); [ zenon_intro zenon_H5e | zenon_intro zenon_H5f ].
% 109.46/109.70 cut ((gt (succ (loopcounter)) (n1)) = (gt (succ (loopcounter)) (succ (n0)))).
% 109.46/109.70 intro zenon_D_pnotp.
% 109.46/109.70 apply zenon_H5c.
% 109.46/109.70 rewrite <- zenon_D_pnotp.
% 109.46/109.70 exact zenon_H5d.
% 109.46/109.70 cut (((n1) = (succ (n0)))); [idtac | apply NNPP; zenon_intro zenon_H5f].
% 109.46/109.70 cut (((succ (loopcounter)) = (succ (loopcounter)))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 109.46/109.70 congruence.
% 109.46/109.70 apply zenon_H60. apply refl_equal.
% 109.46/109.70 exact (zenon_H5f zenon_H5e).
% 109.46/109.70 apply zenon_H5f. apply sym_equal. exact successor_1.
% 109.46/109.70 (* end of lemma zenon_L1_ *)
% 109.46/109.70 apply NNPP. intro zenon_G.
% 109.46/109.70 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H62. zenon_intro zenon_H61.
% 109.46/109.70 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H64. zenon_intro zenon_H63.
% 109.46/109.70 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H66. zenon_intro zenon_H65.
% 109.46/109.70 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67.
% 109.46/109.70 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69.
% 109.46/109.70 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H6c. zenon_intro zenon_H6b.
% 109.46/109.70 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H6e. zenon_intro zenon_H6d.
% 109.46/109.70 generalize (leq_succ_gt_equiv (n1)). zenon_intro zenon_H6f.
% 109.46/109.70 generalize (zenon_H6f (loopcounter)). zenon_intro zenon_H70.
% 109.46/109.70 apply (zenon_equiv_s _ _ zenon_H70); [ zenon_intro zenon_H72; zenon_intro zenon_H71 | zenon_intro zenon_H66; zenon_intro zenon_H5d ].
% 109.46/109.70 exact (zenon_H72 zenon_H66).
% 109.46/109.70 apply (zenon_imply_s _ _ zenon_H6e); [ zenon_intro zenon_H74 | zenon_intro zenon_H73 ].
% 109.46/109.70 generalize (leq_succ_gt (n0)). zenon_intro zenon_H75.
% 109.46/109.70 generalize (zenon_H75 (loopcounter)). zenon_intro zenon_H76.
% 109.46/109.70 apply (zenon_imply_s _ _ zenon_H76); [ zenon_intro zenon_H78 | zenon_intro zenon_H77 ].
% 109.46/109.70 generalize (leq_succ_gt_equiv (succ (n0))). zenon_intro zenon_H79.
% 109.46/109.70 generalize (zenon_H79 (loopcounter)). zenon_intro zenon_H7a.
% 109.46/109.70 apply (zenon_equiv_s _ _ zenon_H7a); [ zenon_intro zenon_H78; zenon_intro zenon_H5c | zenon_intro zenon_H7c; zenon_intro zenon_H7b ].
% 109.46/109.70 apply (zenon_L1_); trivial.
% 109.46/109.70 exact (zenon_H78 zenon_H7c).
% 109.46/109.70 exact (zenon_H74 zenon_H77).
% 109.46/109.70 exact (zenon_H61 zenon_H73).
% 109.46/109.70 Qed.
% 109.46/109.70 % SZS output end Proof
% 109.46/109.70 (* END-PROOF *)
% 109.46/109.70 nodes searched: 7691593
% 109.46/109.70 max branch formulas: 40820
% 109.46/109.70 proof nodes created: 23125
% 109.46/109.70 formulas created: 2483412
% 109.46/109.70
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