TSTP Solution File: GEO216+3 by Zenon---0.7.1

View Problem - Process Solution

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% File     : Zenon---0.7.1
% Problem  : GEO216+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n022.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 07:00:57 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO216+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : run_zenon %s %d
% 0.13/0.33  % Computer : n022.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Fri Jun 17 20:47:32 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.49  (* PROOF-FOUND *)
% 0.19/0.49  % SZS status Theorem
% 0.19/0.49  (* BEGIN-PROOF *)
% 0.19/0.49  % SZS output start Proof
% 0.19/0.49  Theorem con : (forall L : zenon_U, (~(orthogonal_lines L L))).
% 0.19/0.49  Proof.
% 0.19/0.49  apply NNPP. intro zenon_G.
% 0.19/0.49  apply (zenon_notallex_s (fun L : zenon_U => (~(orthogonal_lines L L))) zenon_G); [ zenon_intro zenon_H24; idtac ].
% 0.19/0.49  elim zenon_H24. zenon_intro zenon_TL_bl. zenon_intro zenon_H26.
% 0.19/0.49  apply zenon_H26. zenon_intro zenon_H27.
% 0.19/0.49  generalize (a5 zenon_TL_bl). zenon_intro zenon_H28.
% 0.19/0.49  generalize (zenon_H28 zenon_TL_bl). zenon_intro zenon_H29.
% 0.19/0.49  apply (zenon_equiv_s _ _ zenon_H29); [ zenon_intro zenon_H2c; zenon_intro zenon_H2b | zenon_intro zenon_H27; zenon_intro zenon_H2a ].
% 0.19/0.49  exact (zenon_H2c zenon_H27).
% 0.19/0.49  generalize (coipo1 zenon_TL_bl). zenon_intro zenon_H2d.
% 0.19/0.49  generalize (zenon_H2d zenon_TL_bl). zenon_intro zenon_H2e.
% 0.19/0.49  apply (zenon_notand_s _ _ zenon_H2e); [ zenon_intro zenon_H2f | zenon_intro zenon_H2b ].
% 0.19/0.49  apply zenon_H2f. zenon_intro zenon_H30.
% 0.19/0.49  generalize (apart3 zenon_TL_bl). zenon_intro zenon_H31.
% 0.19/0.49  exact (zenon_H31 zenon_H30).
% 0.19/0.49  exact (zenon_H2b zenon_H2a).
% 0.19/0.49  Qed.
% 0.19/0.49  % SZS output end Proof
% 0.19/0.49  (* END-PROOF *)
% 0.19/0.49  nodes searched: 259
% 0.19/0.49  max branch formulas: 237
% 0.19/0.49  proof nodes created: 32
% 0.19/0.49  formulas created: 2017
% 0.19/0.49  
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