%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SYN360+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n009.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 13:51:30 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN360+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.13  % Command  : run_zenon %s %d
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 16:28:52 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.51  (* PROOF-FOUND *)
% 0.20/0.51  % SZS status Theorem
% 0.20/0.51  (* BEGIN-PROOF *)
% 0.20/0.51  % SZS output start Proof
% 0.20/0.51  Theorem x2111 : (((forall X : zenon_U, ((exists Y : zenon_U, (big_p X Y))->(forall Y : zenon_U, (big_q X Y))))/\(forall Z : zenon_U, (exists Y : zenon_U, (big_p Z Y))))->(forall Y : zenon_U, (forall X : zenon_U, (big_q X Y)))).
% 0.20/0.51  Proof.
% 0.20/0.51  apply NNPP. intro zenon_G.
% 0.20/0.51  apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H2. zenon_intro zenon_H1.
% 0.20/0.51  apply (zenon_and_s _ _ zenon_H2). zenon_intro zenon_H4. zenon_intro zenon_H3.
% 0.20/0.51  apply (zenon_notallex_s (fun Y : zenon_U => (forall X : zenon_U, (big_q X Y))) zenon_H1); [ zenon_intro zenon_H5; idtac ].
% 0.20/0.51  elim zenon_H5. zenon_intro zenon_TY_g. zenon_intro zenon_H7.
% 0.20/0.51  apply (zenon_notallex_s (fun X : zenon_U => (big_q X zenon_TY_g)) zenon_H7); [ zenon_intro zenon_H8; idtac ].
% 0.20/0.51  elim zenon_H8. zenon_intro zenon_TX_j. zenon_intro zenon_Ha.
% 0.20/0.51  generalize (zenon_H4 zenon_TX_j). zenon_intro zenon_Hb.
% 0.20/0.51  apply (zenon_imply_s _ _ zenon_Hb); [ zenon_intro zenon_Hd | zenon_intro zenon_Hc ].
% 0.20/0.51  generalize (zenon_H3 zenon_TX_j). zenon_intro zenon_He.
% 0.20/0.51  exact (zenon_Hd zenon_He).
% 0.20/0.51  generalize (zenon_Hc zenon_TY_g). zenon_intro zenon_Hf.
% 0.20/0.51  exact (zenon_Ha zenon_Hf).
% 0.20/0.51  Qed.
% 0.20/0.51  % SZS output end Proof
% 0.20/0.51  (* END-PROOF *)
% 0.20/0.51  nodes searched: 28
% 0.20/0.51  max branch formulas: 24
% 0.20/0.51  proof nodes created: 11
% 0.20/0.51  formulas created: 166
% 0.20/0.51  
%------------------------------------------------------------------------------