%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SYN409+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n004.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 : Thu Jul 21 13:51:55 EDT 2022

% Result   : Theorem 0.18s 0.49s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN409+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n004.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 : Tue Jul 12 06:27:52 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.49  (* PROOF-FOUND *)
% 0.18/0.49  % SZS status Theorem
% 0.18/0.49  (* BEGIN-PROOF *)
% 0.18/0.49  % SZS output start Proof
% 0.18/0.49  Theorem kalish246 : ((forall X : zenon_U, (f X))<->(forall Y : zenon_U, (forall Z : zenon_U, ((f Y)/\(f Z))))).
% 0.18/0.49  Proof.
% 0.18/0.49  apply NNPP. intro zenon_G.
% 0.18/0.49  apply (zenon_notequiv_s _ _ zenon_G); [ zenon_intro zenon_H5; zenon_intro zenon_H4 | zenon_intro zenon_H3; zenon_intro zenon_H2 ].
% 0.18/0.49  apply (zenon_notallex_s (fun X : zenon_U => (f X)) zenon_H5); [ zenon_intro zenon_H6; idtac ].
% 0.18/0.49  elim zenon_H6. zenon_intro zenon_TX_h. zenon_intro zenon_H8.
% 0.18/0.49  generalize (zenon_H4 zenon_TX_h). zenon_intro zenon_H0.
% 0.18/0.49  generalize (zenon_H0 zenon_E). zenon_intro zenon_H9.
% 0.18/0.49  apply (zenon_and_s _ _ zenon_H9). zenon_intro zenon_Hb. zenon_intro zenon_Ha.
% 0.18/0.49  exact (zenon_H8 zenon_Hb).
% 0.18/0.49  apply (zenon_notallex_s (fun Y : zenon_U => (forall Z : zenon_U, ((f Y)/\(f Z)))) zenon_H2); [ zenon_intro zenon_Hc; idtac ].
% 0.18/0.49  elim zenon_Hc. zenon_intro zenon_TY_n. zenon_intro zenon_He.
% 0.18/0.49  apply (zenon_notallex_s (fun Z : zenon_U => ((f zenon_TY_n)/\(f Z))) zenon_He); [ zenon_intro zenon_Hf; idtac ].
% 0.18/0.49  elim zenon_Hf. zenon_intro zenon_TZ_q. zenon_intro zenon_H11.
% 0.18/0.49  apply (zenon_notand_s _ _ zenon_H11); [ zenon_intro zenon_H13 | zenon_intro zenon_H12 ].
% 0.18/0.49  generalize (zenon_H3 zenon_TY_n). zenon_intro zenon_H14.
% 0.18/0.49  exact (zenon_H13 zenon_H14).
% 0.18/0.49  generalize (zenon_H3 zenon_TZ_q). zenon_intro zenon_H15.
% 0.18/0.49  exact (zenon_H12 zenon_H15).
% 0.18/0.49  Qed.
% 0.18/0.49  % SZS output end Proof
% 0.18/0.49  (* END-PROOF *)
% 0.18/0.49  nodes searched: 25
% 0.18/0.49  max branch formulas: 15
% 0.18/0.49  proof nodes created: 13
% 0.18/0.49  formulas created: 149
% 0.18/0.49  
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