%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : LCL459+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n012.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 16:21:57 EDT 2022

% Result   : Theorem 17.64s 17.84s
% Output   : Proof 17.64s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL459+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n012.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 Jul  2 16:40:17 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 17.64/17.84  (* PROOF-FOUND *)
% 17.64/17.84  % SZS status Theorem
% 17.64/17.84  (* BEGIN-PROOF *)
% 17.64/17.84  % SZS output start Proof
% 17.64/17.84  Theorem rosser_kn1 : (kn1).
% 17.64/17.84  Proof.
% 17.64/17.84  apply NNPP. intro zenon_G.
% 17.64/17.84  apply (zenon_equiv_s _ _ modus_ponens); [ zenon_intro zenon_H34; zenon_intro zenon_H33 | zenon_intro hilbert_modus_ponens; zenon_intro zenon_H32 ].
% 17.64/17.84  exact (zenon_H34 hilbert_modus_ponens).
% 17.64/17.84  apply (zenon_equiv_s _ _ implies_2); [ zenon_intro zenon_H37; zenon_intro zenon_H36 | zenon_intro hilbert_implies_2; zenon_intro zenon_H35 ].
% 17.64/17.84  exact (zenon_H37 hilbert_implies_2).
% 17.64/17.84  apply (zenon_equiv_s _ _ and_3); [ zenon_intro zenon_H3a; zenon_intro zenon_H39 | zenon_intro hilbert_and_3; zenon_intro zenon_H38 ].
% 17.64/17.84  exact (zenon_H3a hilbert_and_3).
% 17.64/17.84  apply (zenon_equiv_s _ _ kn1); [ zenon_intro zenon_G; zenon_intro zenon_H3d | zenon_intro zenon_H3c; zenon_intro zenon_H3b ].
% 17.64/17.84  apply (zenon_notallex_s (fun P : zenon_U => (is_a_theorem (implies P (and P P)))) zenon_H3d); [ zenon_intro zenon_H3e; idtac ].
% 17.64/17.84  elim zenon_H3e. zenon_intro zenon_TP_cl. zenon_intro zenon_H40.
% 17.64/17.84  generalize (zenon_H38 zenon_TP_cl). zenon_intro zenon_H41.
% 17.64/17.84  generalize (zenon_H41 zenon_TP_cl). zenon_intro zenon_H42.
% 17.64/17.84  generalize (zenon_H35 zenon_TP_cl). zenon_intro zenon_H43.
% 17.64/17.84  generalize (zenon_H43 (and zenon_TP_cl zenon_TP_cl)). zenon_intro zenon_H44.
% 17.64/17.84  generalize (zenon_H32 (implies zenon_TP_cl (implies zenon_TP_cl (and zenon_TP_cl zenon_TP_cl)))). zenon_intro zenon_H45.
% 17.64/17.84  generalize (zenon_H45 (implies zenon_TP_cl (and zenon_TP_cl zenon_TP_cl))). zenon_intro zenon_H46.
% 17.64/17.84  apply (zenon_imply_s _ _ zenon_H46); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ].
% 17.64/17.84  apply (zenon_notand_s _ _ zenon_H48); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ].
% 17.64/17.84  exact (zenon_H4a zenon_H42).
% 17.64/17.84  exact (zenon_H49 zenon_H44).
% 17.64/17.84  exact (zenon_H40 zenon_H47).
% 17.64/17.84  exact (zenon_G zenon_H3c).
% 17.64/17.84  Qed.
% 17.64/17.84  % SZS output end Proof
% 17.64/17.84  (* END-PROOF *)
% 17.64/17.84  nodes searched: 86910
% 17.64/17.84  max branch formulas: 50440
% 17.64/17.84  proof nodes created: 1519
% 17.64/17.84  formulas created: 649988
% 17.64/17.84  
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