%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SYN411+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n009.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 13:51:56 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SYN411+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n009.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 22:20:22 EDT 2022
% 0.18/0.33  % CPUTime  : 
% 0.19/0.49  (* PROOF-FOUND *)
% 0.19/0.49  % SZS status Theorem
% 0.19/0.49  (* BEGIN-PROOF *)
% 0.19/0.49  % SZS output start Proof
% 0.19/0.49  Theorem kalish250 : ((forall X : zenon_U, (forall Y : zenon_U, (forall Z : zenon_U, (f X Y Z))))<->(~(exists U : zenon_U, (exists V : zenon_U, (exists W : zenon_U, (~(f U V W))))))).
% 0.19/0.49  Proof.
% 0.19/0.49  apply NNPP. intro zenon_G.
% 0.19/0.49  apply (zenon_notequiv_s _ _ zenon_G); [ zenon_intro zenon_H4; zenon_intro zenon_H3 | zenon_intro zenon_H2; zenon_intro zenon_H1 ].
% 0.19/0.49  apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, (forall Z : zenon_U, (f X Y Z)))) zenon_H4); [ zenon_intro zenon_H5; idtac ].
% 0.19/0.49  elim zenon_H5. zenon_intro zenon_TX_g. zenon_intro zenon_H7.
% 0.19/0.49  apply (zenon_notallex_s (fun Y : zenon_U => (forall Z : zenon_U, (f zenon_TX_g Y Z))) zenon_H7); [ zenon_intro zenon_H8; idtac ].
% 0.19/0.49  elim zenon_H8. zenon_intro zenon_TY_j. zenon_intro zenon_Ha.
% 0.19/0.49  apply (zenon_notallex_s (fun Z : zenon_U => (f zenon_TX_g zenon_TY_j Z)) zenon_Ha); [ zenon_intro zenon_Hb; idtac ].
% 0.19/0.49  apply zenon_H3. exists zenon_TX_g. apply NNPP. zenon_intro zenon_Hc.
% 0.19/0.49  apply zenon_Hc. exists zenon_TY_j. apply NNPP. zenon_intro zenon_Hd.
% 0.19/0.49  exact (zenon_Hd zenon_Hb).
% 0.19/0.49  apply zenon_H1. zenon_intro zenon_He.
% 0.19/0.49  elim zenon_He. zenon_intro zenon_TU_p. zenon_intro zenon_H10.
% 0.19/0.49  elim zenon_H10. zenon_intro zenon_TV_r. zenon_intro zenon_H12.
% 0.19/0.49  elim zenon_H12. zenon_intro zenon_TW_t. zenon_intro zenon_H14.
% 0.19/0.49  generalize (zenon_H2 zenon_TU_p). zenon_intro zenon_H15.
% 0.19/0.49  generalize (zenon_H15 zenon_TV_r). zenon_intro zenon_H16.
% 0.19/0.49  generalize (zenon_H16 zenon_TW_t). zenon_intro zenon_H17.
% 0.19/0.49  exact (zenon_H14 zenon_H17).
% 0.19/0.49  Qed.
% 0.19/0.49  % SZS output end Proof
% 0.19/0.49  (* END-PROOF *)
% 0.19/0.49  nodes searched: 52
% 0.19/0.49  max branch formulas: 26
% 0.19/0.49  proof nodes created: 21
% 0.19/0.49  formulas created: 264
% 0.19/0.49  
%------------------------------------------------------------------------------