TSTP Solution File: GEO264+1 by Zenon---0.7.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : GEO264+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n021.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 : Sat Jul 16 07:01:26 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO264+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.07/0.13  % Command  : run_zenon %s %d
% 0.13/0.34  % Computer : n021.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 : Sat Jun 18 11:11:46 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.52  (* PROOF-FOUND *)
% 0.20/0.52  % SZS status Theorem
% 0.20/0.52  (* BEGIN-PROOF *)
% 0.20/0.52  % SZS output start Proof
% 0.20/0.52  Theorem con : (forall A : zenon_U, (forall B : zenon_U, (forall C : zenon_U, (forall D : zenon_U, ((left_apart_point C (line_connecting A B))->(((left_apart_point D (reverse_line (line_connecting B C)))/\(left_apart_point D (reverse_line (line_connecting C A))))->(left_apart_point D (line_connecting A B)))))))).
% 0.20/0.52  Proof.
% 0.20/0.52  apply NNPP. intro zenon_G.
% 0.20/0.52  apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall C : zenon_U, (forall D : zenon_U, ((left_apart_point C (line_connecting A B))->(((left_apart_point D (reverse_line (line_connecting B C)))/\(left_apart_point D (reverse_line (line_connecting C A))))->(left_apart_point D (line_connecting A B)))))))) zenon_G); [ zenon_intro zenon_H20; idtac ].
% 0.20/0.52  elim zenon_H20. zenon_intro zenon_TA_bh. zenon_intro zenon_H22.
% 0.20/0.52  apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, (forall D : zenon_U, ((left_apart_point C (line_connecting zenon_TA_bh B))->(((left_apart_point D (reverse_line (line_connecting B C)))/\(left_apart_point D (reverse_line (line_connecting C zenon_TA_bh))))->(left_apart_point D (line_connecting zenon_TA_bh B))))))) zenon_H22); [ zenon_intro zenon_H23; idtac ].
% 0.20/0.52  elim zenon_H23. zenon_intro zenon_TB_bk. zenon_intro zenon_H25.
% 0.20/0.52  apply (zenon_notallex_s (fun C : zenon_U => (forall D : zenon_U, ((left_apart_point C (line_connecting zenon_TA_bh zenon_TB_bk))->(((left_apart_point D (reverse_line (line_connecting zenon_TB_bk C)))/\(left_apart_point D (reverse_line (line_connecting C zenon_TA_bh))))->(left_apart_point D (line_connecting zenon_TA_bh zenon_TB_bk)))))) zenon_H25); [ zenon_intro zenon_H26; idtac ].
% 0.20/0.52  elim zenon_H26. zenon_intro zenon_TC_bn. zenon_intro zenon_H28.
% 0.20/0.52  apply (zenon_notallex_s (fun D : zenon_U => ((left_apart_point zenon_TC_bn (line_connecting zenon_TA_bh zenon_TB_bk))->(((left_apart_point D (reverse_line (line_connecting zenon_TB_bk zenon_TC_bn)))/\(left_apart_point D (reverse_line (line_connecting zenon_TC_bn zenon_TA_bh))))->(left_apart_point D (line_connecting zenon_TA_bh zenon_TB_bk))))) zenon_H28); [ zenon_intro zenon_H29; idtac ].
% 0.20/0.52  elim zenon_H29. zenon_intro zenon_TD_bq. zenon_intro zenon_H2b.
% 0.20/0.52  apply (zenon_notimply_s _ _ zenon_H2b). zenon_intro zenon_H2d. zenon_intro zenon_H2c.
% 0.20/0.52  apply (zenon_notimply_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e.
% 0.20/0.52  apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 0.20/0.52  generalize (oag10 zenon_TD_bq). zenon_intro zenon_H32.
% 0.20/0.52  generalize (zenon_H32 (line_connecting zenon_TB_bk zenon_TC_bn)). zenon_intro zenon_H33.
% 0.20/0.52  apply (zenon_notor_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H34.
% 0.20/0.52  exact (zenon_H34 zenon_H31).
% 0.20/0.52  Qed.
% 0.20/0.52  % SZS output end Proof
% 0.20/0.52  (* END-PROOF *)
% 0.20/0.52  nodes searched: 593
% 0.20/0.52  max branch formulas: 537
% 0.20/0.52  proof nodes created: 18
% 0.20/0.52  formulas created: 4544
% 0.20/0.52  
%------------------------------------------------------------------------------