TSTP Solution File: SWV180+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SWV180+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n023.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 23:03:13 EDT 2022
% Result : Theorem 9.62s 9.85s
% Output : Proof 9.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV180+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.08/0.14 % Command : run_zenon %s %d
% 0.14/0.35 % Computer : n023.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 : Wed Jun 15 01:35:05 EDT 2022
% 0.14/0.35 % CPUTime :
% 9.62/9.85 (* PROOF-FOUND *)
% 9.62/9.85 % SZS status Theorem
% 9.62/9.85 (* BEGIN-PROOF *)
% 9.62/9.85 % SZS output start Proof
% 9.62/9.85 Theorem cl5_nebula_init_0076 : (((leq (n0) (pv86))/\((leq (pv86) (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)))))/\((forall G : zenon_U, (((leq (n0) G)/\(leq G (n4)))->((a_select2 (muold_init) G) = (init))))/\((forall H : zenon_U, (((leq (n0) H)/\(leq H (n4)))->((a_select2 (rhoold_init) H) = (init))))/\(forall I : zenon_U, (((leq (n0) I)/\(leq I (n4)))->((a_select2 (sigmaold_init) I) = (init))))))))))))))))->((a_select2 (muold_init) (pv86)) = (init))).
% 9.62/9.85 Proof.
% 9.62/9.85 assert (zenon_L1_ : (gt (succ (pv86)) (n0)) -> (~(leq (n0) (pv86))) -> False).
% 9.62/9.85 do 0 intro. intros zenon_H5c zenon_H5d.
% 9.62/9.85 generalize (leq_succ_gt_equiv (n0)). zenon_intro zenon_H5e.
% 9.62/9.85 generalize (zenon_H5e (pv86)). zenon_intro zenon_H5f.
% 9.62/9.85 apply (zenon_equiv_s _ _ zenon_H5f); [ zenon_intro zenon_H5d; zenon_intro zenon_H61 | zenon_intro zenon_H60; zenon_intro zenon_H5c ].
% 9.62/9.85 exact (zenon_H61 zenon_H5c).
% 9.62/9.85 exact (zenon_H5d zenon_H60).
% 9.62/9.85 (* end of lemma zenon_L1_ *)
% 9.62/9.85 assert (zenon_L2_ : (gt (succ (n4)) (pv86)) -> (~(leq (pv86) (n4))) -> False).
% 9.62/9.85 do 0 intro. intros zenon_H62 zenon_H63.
% 9.62/9.85 generalize (leq_succ_gt_equiv (pv86)). zenon_intro zenon_H64.
% 9.62/9.85 generalize (zenon_H64 (n4)). zenon_intro zenon_H65.
% 9.62/9.85 apply (zenon_equiv_s _ _ zenon_H65); [ zenon_intro zenon_H63; zenon_intro zenon_H67 | zenon_intro zenon_H66; zenon_intro zenon_H62 ].
% 9.62/9.85 exact (zenon_H67 zenon_H62).
% 9.62/9.85 exact (zenon_H63 zenon_H66).
% 9.62/9.85 (* end of lemma zenon_L2_ *)
% 9.62/9.85 apply NNPP. intro zenon_G.
% 9.62/9.85 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H69. zenon_intro zenon_H68.
% 9.62/9.85 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 9.62/9.85 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H66. zenon_intro zenon_H6b.
% 9.62/9.85 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H6d. zenon_intro zenon_H6c.
% 9.62/9.85 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H6f. zenon_intro zenon_H6e.
% 9.62/9.85 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70.
% 9.62/9.85 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72.
% 9.62/9.85 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74.
% 9.62/9.85 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76.
% 9.62/9.85 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78.
% 9.62/9.85 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a.
% 9.62/9.85 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c.
% 9.62/9.85 generalize (leq_succ_gt_equiv (n0)). zenon_intro zenon_H5e.
% 9.62/9.85 generalize (zenon_H5e (pv86)). zenon_intro zenon_H5f.
% 9.62/9.85 apply (zenon_equiv_s _ _ zenon_H5f); [ zenon_intro zenon_H5d; zenon_intro zenon_H61 | zenon_intro zenon_H60; zenon_intro zenon_H5c ].
% 9.62/9.85 exact (zenon_H5d zenon_H60).
% 9.62/9.85 generalize (leq_succ_gt_equiv (pv86)). zenon_intro zenon_H64.
% 9.62/9.85 generalize (zenon_H64 (n4)). zenon_intro zenon_H65.
% 9.62/9.85 apply (zenon_equiv_s _ _ zenon_H65); [ zenon_intro zenon_H63; zenon_intro zenon_H67 | zenon_intro zenon_H66; zenon_intro zenon_H62 ].
% 9.62/9.85 exact (zenon_H63 zenon_H66).
% 9.62/9.85 generalize (zenon_H7d (pv86)). zenon_intro zenon_H7e.
% 9.62/9.85 apply (zenon_imply_s _ _ zenon_H7e); [ zenon_intro zenon_H80 | zenon_intro zenon_H7f ].
% 9.62/9.85 apply (zenon_notand_s _ _ zenon_H80); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ].
% 9.62/9.85 apply (zenon_L1_); trivial.
% 9.62/9.86 apply (zenon_L2_); trivial.
% 9.62/9.86 exact (zenon_H68 zenon_H7f).
% 9.62/9.86 Qed.
% 9.62/9.86 % SZS output end Proof
% 9.62/9.86 (* END-PROOF *)
% 9.62/9.86 nodes searched: 603817
% 9.62/9.86 max branch formulas: 14765
% 9.62/9.86 proof nodes created: 1678
% 9.62/9.86 formulas created: 267250
% 9.62/9.86
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