%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : GEO246+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n028.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 07:01:17 EDT 2022

% Result   : Theorem 0.18s 0.50s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO246+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 04:17:13 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.50  (* PROOF-FOUND *)
% 0.18/0.50  % SZS status Theorem
% 0.18/0.50  (* BEGIN-PROOF *)
% 0.18/0.50  % SZS output start Proof
% 0.18/0.50  Theorem con : (forall A : zenon_U, (forall B : zenon_U, (forall C : zenon_U, ((distinct_points A B)->((right_apart_point C (line_connecting A B))->(left_apart_point B (line_connecting A C))))))).
% 0.18/0.50  Proof.
% 0.18/0.50  apply NNPP. intro zenon_G.
% 0.18/0.50  apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall C : zenon_U, ((distinct_points A B)->((right_apart_point C (line_connecting A B))->(left_apart_point B (line_connecting A C))))))) zenon_G); [ zenon_intro zenon_H25; idtac ].
% 0.18/0.50  elim zenon_H25. zenon_intro zenon_TA_bm. zenon_intro zenon_H27.
% 0.18/0.50  apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, ((distinct_points zenon_TA_bm B)->((right_apart_point C (line_connecting zenon_TA_bm B))->(left_apart_point B (line_connecting zenon_TA_bm C)))))) zenon_H27); [ zenon_intro zenon_H28; idtac ].
% 0.18/0.50  elim zenon_H28. zenon_intro zenon_TB_bp. zenon_intro zenon_H2a.
% 0.18/0.50  apply (zenon_notallex_s (fun C : zenon_U => ((distinct_points zenon_TA_bm zenon_TB_bp)->((right_apart_point C (line_connecting zenon_TA_bm zenon_TB_bp))->(left_apart_point zenon_TB_bp (line_connecting zenon_TA_bm C))))) zenon_H2a); [ zenon_intro zenon_H2b; idtac ].
% 0.18/0.50  elim zenon_H2b. zenon_intro zenon_TC_bs. zenon_intro zenon_H2d.
% 0.18/0.50  apply (zenon_notimply_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e.
% 0.18/0.50  apply (zenon_notimply_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 0.18/0.50  generalize (a2_defns zenon_TC_bs). zenon_intro zenon_H32.
% 0.18/0.50  generalize (zenon_H32 (line_connecting zenon_TA_bm zenon_TB_bp)). zenon_intro zenon_H33.
% 0.18/0.50  apply (zenon_equiv_s _ _ zenon_H33); [ zenon_intro zenon_H36; zenon_intro zenon_H35 | zenon_intro zenon_H31; zenon_intro zenon_H34 ].
% 0.18/0.50  exact (zenon_H36 zenon_H31).
% 0.18/0.50  generalize (ax10_basics zenon_TC_bs). zenon_intro zenon_H37.
% 0.18/0.50  generalize (zenon_H37 (line_connecting zenon_TA_bm zenon_TB_bp)). zenon_intro zenon_H38.
% 0.18/0.50  apply (zenon_notor_s _ _ zenon_H38). zenon_intro zenon_H39. zenon_intro zenon_H35.
% 0.18/0.50  exact (zenon_H35 zenon_H34).
% 0.18/0.50  Qed.
% 0.18/0.50  % SZS output end Proof
% 0.18/0.50  (* END-PROOF *)
% 0.18/0.50  nodes searched: 528
% 0.18/0.50  max branch formulas: 473
% 0.18/0.50  proof nodes created: 26
% 0.18/0.50  formulas created: 4206
% 0.18/0.50  
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