%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SWV116+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n026.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 23:03:01 EDT 2022

% Result   : Theorem 0.21s 0.52s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV116+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : run_zenon %s %d
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Tue Jun 14 19:50:51 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.52  (* PROOF-FOUND *)
% 0.21/0.52  % SZS status Theorem
% 0.21/0.52  (* BEGIN-PROOF *)
% 0.21/0.52  % SZS output start Proof
% 0.21/0.52  Theorem quaternion_ds1_symm_0009 : (((leq (n0) (pv5))/\((leq (pv5) (minus (n999) (n1)))/\((forall A : zenon_U, (forall B : zenon_U, (((leq (n0) A)/\((leq (n0) B)/\((leq A (minus (n6) (n1)))/\(leq B (minus (n6) (n1))))))->((a_select3 (q_ds1_filter) A B) = (a_select3 (q_ds1_filter) B A)))))/\((forall C : zenon_U, (forall D : zenon_U, (((leq (n0) C)/\((leq (n0) D)/\((leq C (minus (n3) (n1)))/\(leq D (minus (n3) (n1))))))->((a_select3 (r_ds1_filter) C D) = (a_select3 (r_ds1_filter) D C)))))/\((forall E : zenon_U, (forall F : zenon_U, (((leq (n0) E)/\((leq (n0) F)/\((leq E (minus (n6) (n1)))/\(leq F (minus (n6) (n1))))))->((a_select3 (pminus_ds1_filter) E F) = (a_select3 (pminus_ds1_filter) F E)))))/\((forall E : zenon_U, (forall F : zenon_U, (((leq (n0) E)/\((leq (n0) F)/\((leq E (minus (n6) (n1)))/\(leq F (minus (n6) (n1))))))->((a_select3 (pminus_ds1_filter) E F) = (a_select3 (pminus_ds1_filter) F E)))))/\(forall I : zenon_U, (((leq (n0) I)/\(leq I (minus (n6) (n1))))->(forall J : zenon_U, (((leq (n0) J)/\(leq J (minus (n6) (n1))))->((a_select3 (id_ds1_filter) I J) = (a_select3 (id_ds1_filter) J I))))))))))))->((forall A : zenon_U, (forall B : zenon_U, (((leq (n0) A)/\((leq (n0) B)/\((leq A (minus (n6) (n1)))/\(leq B (minus (n6) (n1))))))->((a_select3 (q_ds1_filter) A B) = (a_select3 (q_ds1_filter) B A)))))/\((forall C : zenon_U, (forall D : zenon_U, (((leq (n0) C)/\((leq (n0) D)/\((leq C (minus (n3) (n1)))/\(leq D (minus (n3) (n1))))))->((a_select3 (r_ds1_filter) C D) = (a_select3 (r_ds1_filter) D C)))))/\(forall E : zenon_U, (forall F : zenon_U, (((leq (n0) E)/\((leq (n0) F)/\((leq E (minus (n6) (n1)))/\(leq F (minus (n6) (n1))))))->((a_select3 (pminus_ds1_filter) E F) = (a_select3 (pminus_ds1_filter) F E)))))))).
% 0.21/0.52  Proof.
% 0.21/0.52  apply NNPP. intro zenon_G.
% 0.21/0.52  apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H67. zenon_intro zenon_H66.
% 0.21/0.52  apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H69. zenon_intro zenon_H68.
% 0.21/0.52  apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H6b. zenon_intro zenon_H6a.
% 0.21/0.52  apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H6d. zenon_intro zenon_H6c.
% 0.21/0.52  apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H6f. zenon_intro zenon_H6e.
% 0.21/0.52  apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70.
% 0.21/0.52  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H71. zenon_intro zenon_H72.
% 0.21/0.52  apply (zenon_notand_s _ _ zenon_H66); [ zenon_intro zenon_H74 | zenon_intro zenon_H73 ].
% 0.21/0.52  exact (zenon_H74 zenon_H6d).
% 0.21/0.52  apply (zenon_notand_s _ _ zenon_H73); [ zenon_intro zenon_H76 | zenon_intro zenon_H75 ].
% 0.21/0.52  exact (zenon_H76 zenon_H6f).
% 0.21/0.52  exact (zenon_H75 zenon_H71).
% 0.21/0.52  Qed.
% 0.21/0.52  % SZS output end Proof
% 0.21/0.52  (* END-PROOF *)
% 0.21/0.52  nodes searched: 34
% 0.21/0.52  max branch formulas: 119
% 0.21/0.52  proof nodes created: 5
% 0.21/0.52  formulas created: 1561
% 0.21/0.52  
%------------------------------------------------------------------------------