Zenon---0.7.1.THM-Prf.s

%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SYN396+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n004.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 13:51:49 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN396+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command  : run_zenon %s %d
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon Jul 11 19:31:22 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.52  (* PROOF-FOUND *)
% 0.20/0.52  % SZS status Theorem
% 0.20/0.52  (* BEGIN-PROOF *)
% 0.20/0.52  % SZS output start Proof
% 0.20/0.52  Theorem kalish203 : ((~(forall X : zenon_U, (f X)))<->(exists Y : zenon_U, (~(f Y)))).
% 0.20/0.52  Proof.
% 0.20/0.52  apply NNPP. intro zenon_G.
% 0.20/0.52  apply (zenon_notequiv_s _ _ zenon_G); [ zenon_intro zenon_H4; zenon_intro zenon_H3 | zenon_intro zenon_H2; zenon_intro zenon_H1 ].
% 0.20/0.52  apply zenon_H4. zenon_intro zenon_H5.
% 0.20/0.52  elim zenon_H3. zenon_intro zenon_TX_g. zenon_intro zenon_H7.
% 0.20/0.52  generalize (zenon_H5 zenon_TX_g). zenon_intro zenon_H8.
% 0.20/0.52  exact (zenon_H7 zenon_H8).
% 0.20/0.52  apply (zenon_notallex_s (fun X : zenon_U => (f X)) zenon_H2); [ zenon_intro zenon_H3; idtac ].
% 0.20/0.52  exact (zenon_H1 zenon_H3).
% 0.20/0.52  Qed.
% 0.20/0.52  % SZS output end Proof
% 0.20/0.52  (* END-PROOF *)
% 0.20/0.52  nodes searched: 10
% 0.20/0.52  max branch formulas: 8
% 0.20/0.52  proof nodes created: 7
% 0.20/0.52  formulas created: 81
% 0.20/0.52  
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