TSTP Solution File: SWV172+1 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : SWV172+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n004.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 23:03:12 EDT 2022
% Result : Theorem 2.90s 3.16s
% Output : Proof 2.90s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV172+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : run_zenon %s %d
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 15 19:10:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.90/3.16 (* PROOF-FOUND *)
% 2.90/3.16 % SZS status Theorem
% 2.90/3.16 (* BEGIN-PROOF *)
% 2.90/3.16 % SZS output start Proof
% 2.90/3.16 Theorem cl5_nebula_init_0036 : (((leq (n0) (pv10))/\((leq (n0) (pv54))/\((leq (pv10) (n135299))/\((leq (pv54) (n4))/\((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_select2 (rho_init) C) = (init))))/\((forall D : zenon_U, (((leq (n0) D)/\(leq D (n4)))->((a_select2 (mu_init) D) = (init))))/\((forall E : zenon_U, (((leq (n0) E)/\(leq E (n4)))->((a_select2 (sigma_init) E) = (init))))/\((forall F : zenon_U, (((leq (n0) F)/\(leq F (n4)))->((a_select3 (center_init) F (n0)) = (init))))/\(((gt (loopcounter) (n1))->(forall G : zenon_U, (((leq (n0) G)/\(leq G (n4)))->((a_select2 (muold_init) G) = (init)))))/\(((gt (loopcounter) (n1))->(forall H : zenon_U, (((leq (n0) H)/\(leq H (n4)))->((a_select2 (rhoold_init) H) = (init)))))/\((gt (loopcounter) (n1))->(forall I : zenon_U, (((leq (n0) I)/\(leq I (n4)))->((a_select2 (sigmaold_init) I) = (init))))))))))))))))->((a_select2 (rho_init) (pv54)) = (init))).
% 2.90/3.16 Proof.
% 2.90/3.16 assert (zenon_L1_ : (gt (succ (pv54)) (n0)) -> (~(leq (n0) (pv54))) -> False).
% 2.90/3.16 do 0 intro. intros zenon_H5c zenon_H5d.
% 2.90/3.16 generalize (leq_succ_gt_equiv (n0)). zenon_intro zenon_H5e.
% 2.90/3.16 generalize (zenon_H5e (pv54)). zenon_intro zenon_H5f.
% 2.90/3.16 apply (zenon_equiv_s _ _ zenon_H5f); [ zenon_intro zenon_H5d; zenon_intro zenon_H61 | zenon_intro zenon_H60; zenon_intro zenon_H5c ].
% 2.90/3.16 exact (zenon_H61 zenon_H5c).
% 2.90/3.16 exact (zenon_H5d zenon_H60).
% 2.90/3.16 (* end of lemma zenon_L1_ *)
% 2.90/3.16 assert (zenon_L2_ : (gt (succ (n4)) (pv54)) -> (~(leq (pv54) (n4))) -> False).
% 2.90/3.16 do 0 intro. intros zenon_H62 zenon_H63.
% 2.90/3.16 generalize (leq_succ_gt_equiv (pv54)). zenon_intro zenon_H64.
% 2.90/3.16 generalize (zenon_H64 (n4)). zenon_intro zenon_H65.
% 2.90/3.16 apply (zenon_equiv_s _ _ zenon_H65); [ zenon_intro zenon_H63; zenon_intro zenon_H67 | zenon_intro zenon_H66; zenon_intro zenon_H62 ].
% 2.90/3.16 exact (zenon_H67 zenon_H62).
% 2.90/3.16 exact (zenon_H63 zenon_H66).
% 2.90/3.16 (* end of lemma zenon_L2_ *)
% 2.90/3.16 apply NNPP. intro zenon_G.
% 2.90/3.16 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H69. zenon_intro zenon_H68.
% 2.90/3.16 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H6b. zenon_intro zenon_H6a.
% 2.90/3.16 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H60. zenon_intro zenon_H6c.
% 2.90/3.16 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H6e. zenon_intro zenon_H6d.
% 2.90/3.16 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H66. zenon_intro zenon_H6f.
% 2.90/3.16 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H71. zenon_intro zenon_H70.
% 2.90/3.16 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72.
% 2.90/3.16 generalize (leq_succ_gt_equiv (n0)). zenon_intro zenon_H5e.
% 2.90/3.16 generalize (zenon_H5e (pv54)). zenon_intro zenon_H5f.
% 2.90/3.16 apply (zenon_equiv_s _ _ zenon_H5f); [ zenon_intro zenon_H5d; zenon_intro zenon_H61 | zenon_intro zenon_H60; zenon_intro zenon_H5c ].
% 2.90/3.16 exact (zenon_H5d zenon_H60).
% 2.90/3.16 generalize (leq_succ_gt_equiv (pv54)). zenon_intro zenon_H64.
% 2.90/3.16 generalize (zenon_H64 (n4)). zenon_intro zenon_H65.
% 2.90/3.16 apply (zenon_equiv_s _ _ zenon_H65); [ zenon_intro zenon_H63; zenon_intro zenon_H67 | zenon_intro zenon_H66; zenon_intro zenon_H62 ].
% 2.90/3.16 exact (zenon_H63 zenon_H66).
% 2.90/3.16 generalize (zenon_H73 (pv54)). zenon_intro zenon_H74.
% 2.90/3.16 apply (zenon_imply_s _ _ zenon_H74); [ zenon_intro zenon_H76 | zenon_intro zenon_H75 ].
% 2.90/3.16 apply (zenon_notand_s _ _ zenon_H76); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ].
% 2.90/3.16 apply (zenon_L1_); trivial.
% 2.90/3.16 apply (zenon_L2_); trivial.
% 2.90/3.16 exact (zenon_H68 zenon_H75).
% 2.90/3.16 Qed.
% 2.90/3.16 % SZS output end Proof
% 2.90/3.16 (* END-PROOF *)
% 2.90/3.16 nodes searched: 206785
% 2.90/3.16 max branch formulas: 6705
% 2.90/3.16 proof nodes created: 508
% 2.90/3.16 formulas created: 136401
% 2.90/3.16
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