%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SYN061+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n020.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 13:49:15 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
% 0.00/0.11  % Problem  : SYN061+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n020.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 : Mon Jul 11 19:14:12 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 pel31 : (exists X : zenon_U, ((big_i X)/\(big_j X))).
% 0.18/0.48  Proof.
% 0.18/0.48  apply NNPP. intro zenon_G.
% 0.18/0.48  elim pel31_2. zenon_intro zenon_TX_e. zenon_intro zenon_H5.
% 0.18/0.48  apply (zenon_and_s _ _ zenon_H5). zenon_intro zenon_H7. zenon_intro zenon_H6.
% 0.18/0.48  generalize (pel31_3 zenon_TX_e). zenon_intro zenon_H8.
% 0.18/0.48  apply (zenon_imply_s _ _ zenon_H8); [ zenon_intro zenon_Ha | zenon_intro zenon_H9 ].
% 0.18/0.48  apply zenon_Ha. zenon_intro zenon_Hb.
% 0.18/0.48  apply pel31_1. exists zenon_TX_e. apply NNPP. zenon_intro zenon_Hc.
% 0.18/0.48  apply (zenon_notand_s _ _ zenon_Hc); [ zenon_intro zenon_He | zenon_intro zenon_Hd ].
% 0.18/0.48  exact (zenon_He zenon_H6).
% 0.18/0.48  apply (zenon_notor_s _ _ zenon_Hd). zenon_intro zenon_H10. zenon_intro zenon_Hf.
% 0.18/0.48  exact (zenon_Hf zenon_Hb).
% 0.18/0.48  apply zenon_G. exists zenon_TX_e. apply NNPP. zenon_intro zenon_H11.
% 0.18/0.48  apply (zenon_notand_s _ _ zenon_H11); [ zenon_intro zenon_H13 | zenon_intro zenon_H12 ].
% 0.18/0.48  exact (zenon_H13 zenon_H7).
% 0.18/0.48  exact (zenon_H12 zenon_H9).
% 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: 28
% 0.18/0.48  max branch formulas: 27
% 0.18/0.48  proof nodes created: 15
% 0.18/0.48  formulas created: 163
% 0.18/0.48  
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