TSTP Solution File: NUM464+2 by Zenon---0.7.1

View Problem - Process Solution

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% File     : Zenon---0.7.1
% Problem  : NUM464+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 15:55:55 EDT 2022

% Result   : Theorem 5.84s 6.02s
% Output   : Proof 5.84s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : NUM464+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n004.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
% 0.12/0.34  % DateTime : Thu Jul  7 10:38:37 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 5.84/6.02  (* PROOF-FOUND *)
% 5.84/6.02  % SZS status Theorem
% 5.84/6.02  (* BEGIN-PROOF *)
% 5.84/6.02  % SZS output start Proof
% 5.84/6.02  Theorem m__ : ((~((xm) = (sz00)))->((exists W0 : zenon_U, ((aNaturalNumber0 W0)/\((sdtpldt0 (sz10) W0) = (xm))))\/(sdtlseqdt0 (sz10) (xm)))).
% 5.84/6.02  Proof.
% 5.84/6.02  assert (zenon_L1_ : ((~((sz10) = (xm)))/\(sdtlseqdt0 (sz10) (xm))) -> (~(sdtlseqdt0 (sz10) (xm))) -> False).
% 5.84/6.02  do 0 intro. intros zenon_H1c zenon_H1d.
% 5.84/6.02  apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e.
% 5.84/6.02  exact (zenon_H1d zenon_H1e).
% 5.84/6.02  (* end of lemma zenon_L1_ *)
% 5.84/6.02  apply NNPP. intro zenon_G.
% 5.84/6.02  apply (zenon_and_s _ _ mSortsC_01). zenon_intro zenon_H21. zenon_intro zenon_H20.
% 5.84/6.02  apply (zenon_and_s _ _ m__987). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 5.84/6.02  apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 5.84/6.02  apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H26. zenon_intro zenon_H1d.
% 5.84/6.02  generalize (mLENTr (xm)). zenon_intro zenon_H27.
% 5.84/6.02  apply (zenon_imply_s _ _ zenon_H27); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ].
% 5.84/6.02  exact (zenon_H29 zenon_H23).
% 5.84/6.02  apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ].
% 5.84/6.02  exact (zenon_H25 zenon_H2b).
% 5.84/6.02  apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H2c | zenon_intro zenon_H1c ].
% 5.84/6.02  generalize (mLETotal (sz10)). zenon_intro zenon_H2d.
% 5.84/6.02  generalize (zenon_H2d (xm)). zenon_intro zenon_H2e.
% 5.84/6.02  apply (zenon_imply_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 5.84/6.02  apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H31 | zenon_intro zenon_H29 ].
% 5.84/6.02  exact (zenon_H31 zenon_H21).
% 5.84/6.02  exact (zenon_H29 zenon_H23).
% 5.84/6.02  apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H1e | zenon_intro zenon_H32 ].
% 5.84/6.02  exact (zenon_H1d zenon_H1e).
% 5.84/6.02  apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H34. zenon_intro zenon_H33.
% 5.84/6.02  exact (zenon_H34 zenon_H2c).
% 5.84/6.02  apply (zenon_L1_); trivial.
% 5.84/6.02  Qed.
% 5.84/6.02  % SZS output end Proof
% 5.84/6.02  (* END-PROOF *)
% 5.84/6.02  nodes searched: 44320
% 5.84/6.02  max branch formulas: 7773
% 5.84/6.02  proof nodes created: 1962
% 5.84/6.02  formulas created: 268247
% 5.84/6.02  
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