%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SYN361+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n008.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 0.50s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN361+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13  % Command  : run_zenon %s %d
% 0.13/0.34  % Computer : n008.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 : Tue Jul 12 03:57:53 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.50  (* PROOF-FOUND *)
% 0.20/0.50  % SZS status Theorem
% 0.20/0.50  (* BEGIN-PROOF *)
% 0.20/0.50  % SZS output start Proof
% 0.20/0.50  Theorem x2112 : (((exists V : zenon_U, (forall X : zenon_U, (big_p X V)))/\((forall X : zenon_U, ((big_s X)->(exists Y : zenon_U, (big_q Y X))))/\(forall X : zenon_U, (forall Y : zenon_U, ((big_p X Y)->(~(big_q X Y)))))))->(exists U : zenon_U, (~(big_s U)))).
% 0.20/0.50  Proof.
% 0.20/0.50  apply NNPP. intro zenon_G.
% 0.20/0.50  apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H2. zenon_intro zenon_H1.
% 0.20/0.50  apply (zenon_and_s _ _ zenon_H2). zenon_intro zenon_H4. zenon_intro zenon_H3.
% 0.20/0.50  apply (zenon_and_s _ _ zenon_H3). zenon_intro zenon_H6. zenon_intro zenon_H5.
% 0.20/0.50  elim zenon_H4. zenon_intro zenon_TV_h. zenon_intro zenon_H8.
% 0.20/0.50  generalize (zenon_H6 zenon_TV_h). zenon_intro zenon_H9.
% 0.20/0.50  apply (zenon_imply_s _ _ zenon_H9); [ zenon_intro zenon_Hb | zenon_intro zenon_Ha ].
% 0.20/0.50  apply zenon_H1. exists zenon_TV_h. apply NNPP. zenon_intro zenon_Hc.
% 0.20/0.50  exact (zenon_Hc zenon_Hb).
% 0.20/0.50  elim zenon_Ha. zenon_intro zenon_TY_n. zenon_intro zenon_He.
% 0.20/0.50  generalize (zenon_H5 zenon_TY_n). zenon_intro zenon_Hf.
% 0.20/0.50  generalize (zenon_Hf zenon_TV_h). zenon_intro zenon_H10.
% 0.20/0.50  apply (zenon_imply_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ].
% 0.20/0.50  generalize (zenon_H8 zenon_TY_n). zenon_intro zenon_H13.
% 0.20/0.50  exact (zenon_H12 zenon_H13).
% 0.20/0.50  exact (zenon_H11 zenon_He).
% 0.20/0.50  Qed.
% 0.20/0.50  % SZS output end Proof
% 0.20/0.50  (* END-PROOF *)
% 0.20/0.50  nodes searched: 56
% 0.20/0.50  max branch formulas: 45
% 0.20/0.50  proof nodes created: 19
% 0.20/0.50  formulas created: 283
% 0.20/0.50  
%------------------------------------------------------------------------------