%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SYN359+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n014.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 13:51:29 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN359+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13  % Command  : run_zenon %s %d
% 0.13/0.34  % Computer : n014.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 15:19:49 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.50  (* PROOF-FOUND *)
% 0.19/0.50  % SZS status Theorem
% 0.19/0.50  (* BEGIN-PROOF *)
% 0.19/0.50  % SZS output start Proof
% 0.19/0.50  Theorem x2110 : (((exists X : zenon_U, (big_r X))/\((forall Y : zenon_U, ((big_r Y)->(exists Z : zenon_U, (big_q Y Z))))/\(forall X : zenon_U, (forall Y : zenon_U, ((big_q X Y)->(big_q X X))))))->(exists X : zenon_U, (exists Y : zenon_U, ((big_q X Y)/\(big_r Y))))).
% 0.19/0.50  Proof.
% 0.19/0.50  assert (zenon_L1_ : forall (zenon_TX_e : zenon_U), (~(exists X : zenon_U, (exists Y : zenon_U, ((big_q X Y)/\(big_r Y))))) -> (big_r zenon_TX_e) -> (big_q zenon_TX_e zenon_TX_e) -> False).
% 0.19/0.50  do 1 intro. intros zenon_H1 zenon_H2 zenon_H3.
% 0.19/0.50  apply zenon_H1. exists zenon_TX_e. apply NNPP. zenon_intro zenon_H5.
% 0.19/0.50  apply zenon_H5. exists zenon_TX_e. apply NNPP. zenon_intro zenon_H6.
% 0.19/0.50  apply (zenon_notand_s _ _ zenon_H6); [ zenon_intro zenon_H8 | zenon_intro zenon_H7 ].
% 0.19/0.50  exact (zenon_H8 zenon_H3).
% 0.19/0.50  exact (zenon_H7 zenon_H2).
% 0.19/0.50  (* end of lemma zenon_L1_ *)
% 0.19/0.50  apply NNPP. intro zenon_G.
% 0.19/0.50  apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H9. zenon_intro zenon_H1.
% 0.19/0.50  apply (zenon_and_s _ _ zenon_H9). zenon_intro zenon_Hb. zenon_intro zenon_Ha.
% 0.19/0.50  apply (zenon_and_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc.
% 0.19/0.50  elim zenon_Hb. zenon_intro zenon_TX_e. zenon_intro zenon_H2.
% 0.19/0.50  generalize (zenon_Hd zenon_TX_e). zenon_intro zenon_He.
% 0.19/0.50  apply (zenon_imply_s _ _ zenon_He); [ zenon_intro zenon_H7 | zenon_intro zenon_Hf ].
% 0.19/0.50  exact (zenon_H7 zenon_H2).
% 0.19/0.50  elim zenon_Hf. zenon_intro zenon_TZ_q. zenon_intro zenon_H11.
% 0.19/0.50  generalize (zenon_Hc zenon_TX_e). zenon_intro zenon_H12.
% 0.19/0.50  generalize (zenon_H12 zenon_TZ_q). zenon_intro zenon_H13.
% 0.19/0.50  apply (zenon_imply_s _ _ zenon_H13); [ zenon_intro zenon_H14 | zenon_intro zenon_H3 ].
% 0.19/0.50  exact (zenon_H14 zenon_H11).
% 0.19/0.50  apply (zenon_L1_ zenon_TX_e); trivial.
% 0.19/0.50  Qed.
% 0.19/0.50  % SZS output end Proof
% 0.19/0.50  (* END-PROOF *)
% 0.19/0.50  nodes searched: 69
% 0.19/0.50  max branch formulas: 51
% 0.19/0.50  proof nodes created: 20
% 0.19/0.50  formulas created: 344
% 0.19/0.50  
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