%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : LCL455+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n020.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 : Sun Jul 17 16:21:55 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  : LCL455+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : run_zenon %s %d
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jul  2 23:41:45 EDT 2022
% 0.13/0.35  % 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 principia_r2 : (r2).
% 0.21/0.52  Proof.
% 0.21/0.52  apply NNPP. intro zenon_G.
% 0.21/0.52  apply (zenon_equiv_s _ _ or_2); [ zenon_intro zenon_H36; zenon_intro zenon_H35 | zenon_intro hilbert_or_2; zenon_intro zenon_H34 ].
% 0.21/0.52  exact (zenon_H36 hilbert_or_2).
% 0.21/0.52  apply (zenon_equiv_s _ _ r2); [ zenon_intro zenon_G; zenon_intro zenon_H35 | zenon_intro zenon_H37; zenon_intro zenon_H34 ].
% 0.21/0.52  exact (zenon_H35 zenon_H34).
% 0.21/0.52  exact (zenon_G zenon_H37).
% 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: 21
% 0.21/0.52  max branch formulas: 46
% 0.21/0.52  proof nodes created: 3
% 0.21/0.52  formulas created: 447
% 0.21/0.52  
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