%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SEU143+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n023.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 : Tue Jul 19 15:59:39 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SEU143+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13  % Command  : run_zenon %s %d
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jun 20 09:55:03 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.51  (* PROOF-FOUND *)
% 0.20/0.51  % SZS status Theorem
% 0.20/0.51  (* BEGIN-PROOF *)
% 0.20/0.51  % SZS output start Proof
% 0.20/0.51  Theorem l1_zfmisc_1 : (forall A : zenon_U, (~((singleton A) = (empty_set)))).
% 0.20/0.51  Proof.
% 0.20/0.51  assert (zenon_L1_ : (~((empty_set) = (empty_set))) -> False).
% 0.20/0.51  do 0 intro. intros zenon_H8.
% 0.20/0.51  apply zenon_H8. apply refl_equal.
% 0.20/0.51  (* end of lemma zenon_L1_ *)
% 0.20/0.51  apply NNPP. intro zenon_G.
% 0.20/0.51  apply (zenon_notallex_s (fun A : zenon_U => (~((singleton A) = (empty_set)))) zenon_G); [ zenon_intro zenon_H9; idtac ].
% 0.20/0.51  elim zenon_H9. zenon_intro zenon_TA_k. zenon_intro zenon_Hb.
% 0.20/0.51  apply zenon_Hb. zenon_intro zenon_Hc.
% 0.20/0.51  generalize (d1_xboole_0 (empty_set)). zenon_intro zenon_Hd.
% 0.20/0.51  apply (zenon_equiv_s _ _ zenon_Hd); [ zenon_intro zenon_H8; zenon_intro zenon_H10 | zenon_intro zenon_Hf; zenon_intro zenon_He ].
% 0.20/0.51  apply zenon_H8. apply refl_equal.
% 0.20/0.51  generalize (d1_tarski zenon_TA_k). zenon_intro zenon_H11.
% 0.20/0.51  generalize (zenon_H11 (empty_set)). zenon_intro zenon_H12.
% 0.20/0.51  apply (zenon_equiv_s _ _ zenon_H12); [ zenon_intro zenon_H16; zenon_intro zenon_H15 | zenon_intro zenon_H14; zenon_intro zenon_H13 ].
% 0.20/0.51  apply zenon_H16. apply sym_equal. exact zenon_Hc.
% 0.20/0.51  generalize (zenon_H13 zenon_TA_k). zenon_intro zenon_H17.
% 0.20/0.51  apply (zenon_equiv_s _ _ zenon_H17); [ zenon_intro zenon_H1b; zenon_intro zenon_H1a | zenon_intro zenon_H19; zenon_intro zenon_H18 ].
% 0.20/0.51  apply zenon_H1a. apply refl_equal.
% 0.20/0.51  generalize (zenon_He zenon_TA_k). zenon_intro zenon_H1b.
% 0.20/0.51  exact (zenon_H1b zenon_H19).
% 0.20/0.51  Qed.
% 0.20/0.51  % SZS output end Proof
% 0.20/0.51  (* END-PROOF *)
% 0.20/0.51  nodes searched: 396
% 0.20/0.51  max branch formulas: 79
% 0.20/0.51  proof nodes created: 85
% 0.20/0.51  formulas created: 769
% 0.20/0.51  
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