TSTP Solution File: SWV178+1 by Zenon---0.7.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SWV178+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n008.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 0.38s 0.53s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV178+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : run_zenon %s %d
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun 15 14:12:22 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.38/0.53  (* PROOF-FOUND *)
% 0.38/0.53  % SZS status Theorem
% 0.38/0.53  (* BEGIN-PROOF *)
% 0.38/0.53  % SZS output start Proof
% 0.38/0.53  Theorem cl5_nebula_init_0066 : (((leq (n0) (pv40))/\((leq (pv40) (n4))/\((gt (loopcounter) (n1))/\((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 (pred (pv40))))->((a_select2 (mu_init) D) = (init))))/\((forall E : zenon_U, (((leq (n0) E)/\(leq E (pred (pv40))))->((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 I : zenon_U, (((leq (n0) I)/\(leq I (n4)))->((a_select2 (sigmaold_init) I) = (init))))).
% 0.38/0.53  Proof.
% 0.38/0.53  apply NNPP. intro zenon_G.
% 0.38/0.53  apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H5d. zenon_intro zenon_H5c.
% 0.38/0.53  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H5f. zenon_intro zenon_H5e.
% 0.38/0.53  apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H61. zenon_intro zenon_H60.
% 0.38/0.53  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H63. zenon_intro zenon_H62.
% 0.38/0.53  apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 0.38/0.53  apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H67. zenon_intro zenon_H66.
% 0.38/0.53  apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H69. zenon_intro zenon_H68.
% 0.38/0.53  apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H6b. zenon_intro zenon_H6a.
% 0.38/0.53  apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H6d. zenon_intro zenon_H6c.
% 0.38/0.53  apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H6f. zenon_intro zenon_H6e.
% 0.38/0.53  apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70.
% 0.38/0.53  apply (zenon_imply_s _ _ zenon_H70); [ zenon_intro zenon_H73 | zenon_intro zenon_H72 ].
% 0.38/0.53  exact (zenon_H73 zenon_H63).
% 0.38/0.53  exact (zenon_H5c zenon_H72).
% 0.38/0.53  Qed.
% 0.38/0.53  % SZS output end Proof
% 0.38/0.53  (* END-PROOF *)
% 0.38/0.53  nodes searched: 13
% 0.38/0.53  max branch formulas: 110
% 0.38/0.53  proof nodes created: 4
% 0.38/0.53  formulas created: 1436
% 0.38/0.53  
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