%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SYN366+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n019.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 13:51:33 EDT 2022

% Result   : Theorem 0.18s 0.48s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN366+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n019.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 08:40:08 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.48  (* PROOF-FOUND *)
% 0.18/0.48  % SZS status Theorem
% 0.18/0.48  (* BEGIN-PROOF *)
% 0.18/0.48  % SZS output start Proof
% 0.18/0.48  Theorem x2117 : (((forall U : zenon_U, (forall V : zenon_U, ((big_r U U)<->(big_r U V))))/\(forall W : zenon_U, (forall Z : zenon_U, ((big_r W W)<->(big_r Z W)))))->((exists X : zenon_U, (big_r X X))->(forall Y : zenon_U, (big_r Y Y)))).
% 0.18/0.48  Proof.
% 0.18/0.48  apply NNPP. intro zenon_G.
% 0.18/0.48  apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H2. zenon_intro zenon_H1.
% 0.18/0.48  apply (zenon_notimply_s _ _ zenon_H1). zenon_intro zenon_H4. zenon_intro zenon_H3.
% 0.18/0.48  apply (zenon_and_s _ _ zenon_H2). zenon_intro zenon_H6. zenon_intro zenon_H5.
% 0.18/0.48  elim zenon_H4. zenon_intro zenon_TX_h. zenon_intro zenon_H8.
% 0.18/0.48  apply (zenon_notallex_s (fun Y : zenon_U => (big_r Y Y)) zenon_H3); [ zenon_intro zenon_H9; idtac ].
% 0.18/0.48  elim zenon_H9. zenon_intro zenon_TY_k. zenon_intro zenon_Hb.
% 0.18/0.48  generalize (zenon_H6 zenon_TX_h). zenon_intro zenon_Hc.
% 0.18/0.48  generalize (zenon_Hc zenon_TY_k). zenon_intro zenon_Hd.
% 0.18/0.48  apply (zenon_equiv_s _ _ zenon_Hd); [ zenon_intro zenon_H10; zenon_intro zenon_Hf | zenon_intro zenon_H8; zenon_intro zenon_He ].
% 0.18/0.48  exact (zenon_H10 zenon_H8).
% 0.18/0.48  generalize (zenon_H5 zenon_TY_k). zenon_intro zenon_H11.
% 0.18/0.48  generalize (zenon_H11 zenon_TX_h). zenon_intro zenon_H12.
% 0.18/0.48  apply (zenon_equiv_s _ _ zenon_H12); [ zenon_intro zenon_Hb; zenon_intro zenon_Hf | zenon_intro zenon_H13; zenon_intro zenon_He ].
% 0.18/0.48  exact (zenon_Hf zenon_He).
% 0.18/0.48  exact (zenon_Hb zenon_H13).
% 0.18/0.48  Qed.
% 0.18/0.48  % SZS output end Proof
% 0.18/0.48  (* END-PROOF *)
% 0.18/0.48  nodes searched: 86
% 0.18/0.48  max branch formulas: 47
% 0.18/0.48  proof nodes created: 22
% 0.18/0.48  formulas created: 355
% 0.18/0.48  
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