%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : NUM531+2 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 15:56:33 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
% 0.06/0.12  % Problem  : NUM531+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : run_zenon %s %d
% 0.12/0.34  % Computer : n004.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 : Thu Jul  7 04:11:52 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 m__ : (forall W0 : zenon_U, (((aSet0 W0)/\(isCountable0 W0))->(~((~(exists W1 : zenon_U, (aElementOf0 W1 W0)))/\(W0 = (slcrc0)))))).
% 0.19/0.50  Proof.
% 0.19/0.50  apply NNPP. intro zenon_G.
% 0.19/0.50  apply (zenon_notallex_s (fun W0 : zenon_U => (((aSet0 W0)/\(isCountable0 W0))->(~((~(exists W1 : zenon_U, (aElementOf0 W1 W0)))/\(W0 = (slcrc0)))))) zenon_G); [ zenon_intro zenon_H9; idtac ].
% 0.19/0.50  elim zenon_H9. zenon_intro zenon_TW0_k. zenon_intro zenon_Hb.
% 0.19/0.50  apply (zenon_notimply_s _ _ zenon_Hb). zenon_intro zenon_Hd. zenon_intro zenon_Hc.
% 0.19/0.50  apply zenon_Hc. zenon_intro zenon_He.
% 0.19/0.50  apply (zenon_and_s _ _ zenon_He). zenon_intro zenon_H10. zenon_intro zenon_Hf.
% 0.19/0.50  apply (zenon_and_s _ _ zenon_Hd). zenon_intro zenon_H12. zenon_intro zenon_H11.
% 0.19/0.50  generalize (mCountNFin zenon_TW0_k). zenon_intro zenon_H13.
% 0.19/0.50  apply (zenon_imply_s _ _ zenon_H13); [ zenon_intro zenon_H15 | zenon_intro zenon_H14 ].
% 0.19/0.50  apply (zenon_notand_s _ _ zenon_H15); [ zenon_intro zenon_H17 | zenon_intro zenon_H16 ].
% 0.19/0.50  exact (zenon_H17 zenon_H12).
% 0.19/0.50  exact (zenon_H16 zenon_H11).
% 0.19/0.50  cut ((isFinite0 (slcrc0)) = (isFinite0 zenon_TW0_k)).
% 0.19/0.50  intro zenon_D_pnotp.
% 0.19/0.50  apply zenon_H14.
% 0.19/0.50  rewrite <- zenon_D_pnotp.
% 0.19/0.50  exact mEmpFin.
% 0.19/0.50  cut (((slcrc0) = zenon_TW0_k)); [idtac | apply NNPP; zenon_intro zenon_H18].
% 0.19/0.50  congruence.
% 0.19/0.50  apply zenon_H18. apply sym_equal. exact zenon_Hf.
% 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: 84
% 0.19/0.50  max branch formulas: 48
% 0.19/0.50  proof nodes created: 22
% 0.19/0.50  formulas created: 306
% 0.19/0.50  
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