%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SYN391+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n025.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 13:51:46 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
% 0.11/0.12  % Problem  : SYN391+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13  % Command  : run_zenon %s %d
% 0.12/0.34  % Computer : n025.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 20:56:32 EDT 2022
% 0.12/0.34  % 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 pel9 : ((((p1)\/(p2))/\(((~(p1))\/(p2))/\((p1)\/(~(p2)))))->(~((~(p1))\/(~(p2))))).
% 0.19/0.50  Proof.
% 0.19/0.50  assert (zenon_L1_ : (~(p1)) -> (p1) -> False).
% 0.19/0.50  do 0 intro. intros zenon_H1 zenon_H2.
% 0.19/0.50  exact (zenon_H1 zenon_H2).
% 0.19/0.50  (* end of lemma zenon_L1_ *)
% 0.19/0.50  assert (zenon_L2_ : (~(p2)) -> (p2) -> False).
% 0.19/0.50  do 0 intro. intros zenon_H3 zenon_H4.
% 0.19/0.50  exact (zenon_H3 zenon_H4).
% 0.19/0.50  (* end of lemma zenon_L2_ *)
% 0.19/0.50  assert (zenon_L3_ : ((~(p1))\/(~(p2))) -> (p2) -> (p1) -> False).
% 0.19/0.50  do 0 intro. intros zenon_H5 zenon_H4 zenon_H2.
% 0.19/0.50  apply (zenon_or_s _ _ zenon_H5); [ zenon_intro zenon_H1 | zenon_intro zenon_H3 ].
% 0.19/0.50  exact (zenon_H1 zenon_H2).
% 0.19/0.50  exact (zenon_H3 zenon_H4).
% 0.19/0.50  (* end of lemma zenon_L3_ *)
% 0.19/0.50  apply NNPP. intro zenon_G.
% 0.19/0.50  apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H7. zenon_intro zenon_H6.
% 0.19/0.50  apply zenon_H6. zenon_intro zenon_H5.
% 0.19/0.50  apply (zenon_and_s _ _ zenon_H7). zenon_intro zenon_H9. zenon_intro zenon_H8.
% 0.19/0.50  apply (zenon_and_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha.
% 0.19/0.50  apply (zenon_or_s _ _ zenon_H9); [ zenon_intro zenon_H2 | zenon_intro zenon_H4 ].
% 0.19/0.50  apply (zenon_or_s _ _ zenon_Hb); [ zenon_intro zenon_H1 | zenon_intro zenon_H4 ].
% 0.19/0.50  exact (zenon_H1 zenon_H2).
% 0.19/0.50  apply (zenon_L3_); trivial.
% 0.19/0.50  apply (zenon_or_s _ _ zenon_Ha); [ zenon_intro zenon_H2 | zenon_intro zenon_H3 ].
% 0.19/0.50  apply (zenon_L3_); trivial.
% 0.19/0.50  exact (zenon_H3 zenon_H4).
% 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: 8
% 0.19/0.50  max branch formulas: 8
% 0.19/0.50  proof nodes created: 7
% 0.19/0.50  formulas created: 64
% 0.19/0.50  
%------------------------------------------------------------------------------