%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SYN922+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n016.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 13:56:28 EDT 2022

% Result   : Theorem 0.39s 0.55s
% Output   : Proof 0.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SYN922+1 : TPTP v8.1.0. Released v3.1.0.
% 0.14/0.15  % Command  : run_zenon %s %d
% 0.14/0.36  % Computer : n016.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Tue Jul 12 02:28:43 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.39/0.55  (* PROOF-FOUND *)
% 0.39/0.55  % SZS status Theorem
% 0.39/0.55  (* BEGIN-PROOF *)
% 0.39/0.55  % SZS output start Proof
% 0.39/0.55  Theorem prove_this : ((forall X : zenon_U, ((p X)/\(q X)))<->((forall X : zenon_U, (p X))/\(forall X : zenon_U, (q X)))).
% 0.39/0.55  Proof.
% 0.39/0.55  apply NNPP. intro zenon_G.
% 0.39/0.55  apply (zenon_notequiv_s _ _ zenon_G); [ zenon_intro zenon_H4; zenon_intro zenon_H3 | zenon_intro zenon_H2; zenon_intro zenon_H1 ].
% 0.39/0.55  apply (zenon_notallex_s (fun X : zenon_U => ((p X)/\(q X))) zenon_H4); [ zenon_intro zenon_H5; idtac ].
% 0.39/0.55  elim zenon_H5. zenon_intro zenon_TX_g. zenon_intro zenon_H7.
% 0.39/0.55  apply (zenon_and_s _ _ zenon_H3). zenon_intro zenon_H9. zenon_intro zenon_H8.
% 0.39/0.55  apply (zenon_notand_s _ _ zenon_H7); [ zenon_intro zenon_Hb | zenon_intro zenon_Ha ].
% 0.39/0.55  generalize (zenon_H9 zenon_TX_g). zenon_intro zenon_Hc.
% 0.39/0.55  exact (zenon_Hb zenon_Hc).
% 0.39/0.55  generalize (zenon_H8 zenon_TX_g). zenon_intro zenon_Hd.
% 0.39/0.55  exact (zenon_Ha zenon_Hd).
% 0.39/0.55  apply (zenon_notand_s _ _ zenon_H1); [ zenon_intro zenon_Hf | zenon_intro zenon_He ].
% 0.39/0.55  apply (zenon_notallex_s (fun X : zenon_U => (p X)) zenon_Hf); [ zenon_intro zenon_H10; idtac ].
% 0.39/0.55  elim zenon_H10. zenon_intro zenon_TX_r. zenon_intro zenon_H12.
% 0.39/0.55  generalize (zenon_H2 zenon_TX_r). zenon_intro zenon_H13.
% 0.39/0.55  apply (zenon_and_s _ _ zenon_H13). zenon_intro zenon_H15. zenon_intro zenon_H14.
% 0.39/0.55  exact (zenon_H12 zenon_H15).
% 0.39/0.55  apply (zenon_notallex_s (fun X : zenon_U => (q X)) zenon_He); [ zenon_intro zenon_H16; idtac ].
% 0.39/0.55  elim zenon_H16. zenon_intro zenon_TX_x. zenon_intro zenon_H18.
% 0.39/0.55  generalize (zenon_H2 zenon_TX_x). zenon_intro zenon_H19.
% 0.39/0.55  apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_H1b. zenon_intro zenon_H1a.
% 0.39/0.55  exact (zenon_H18 zenon_H1a).
% 0.39/0.55  Qed.
% 0.39/0.55  % SZS output end Proof
% 0.39/0.55  (* END-PROOF *)
% 0.39/0.55  nodes searched: 32
% 0.39/0.55  max branch formulas: 13
% 0.39/0.55  proof nodes created: 17
% 0.39/0.55  formulas created: 142
% 0.39/0.55  
%------------------------------------------------------------------------------