TSTP Solution File: RNG088+1 by Zenon---0.7.1

View Problem - Process Solution

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% File     : Zenon---0.7.1
% Problem  : RNG088+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n025.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 20:48:25 EDT 2022

% Result   : Theorem 0.20s 0.55s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : RNG088+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : run_zenon %s %d
% 0.13/0.34  % Computer : n025.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
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon May 30 22:21:57 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.55  (* PROOF-FOUND *)
% 0.20/0.55  % SZS status Theorem
% 0.20/0.55  (* BEGIN-PROOF *)
% 0.20/0.55  % SZS output start Proof
% 0.20/0.55  Theorem m__ : ((aElementOf0 (sdtpldt0 (xk) (xm)) (xI))/\(aElementOf0 (sdtpldt0 (xl) (xn)) (xJ))).
% 0.20/0.55  Proof.
% 0.20/0.55  apply NNPP. intro zenon_G.
% 0.20/0.55  apply (zenon_and_s _ _ m__870). zenon_intro zenon_H1e. zenon_intro zenon_H1d.
% 0.20/0.55  generalize (mDefIdeal (xI)). zenon_intro zenon_H1f.
% 0.20/0.55  apply (zenon_equiv_s _ _ zenon_H1f); [ zenon_intro zenon_H22; zenon_intro zenon_H21 | zenon_intro zenon_H1e; zenon_intro zenon_H20 ].
% 0.20/0.55  exact (zenon_H22 zenon_H1e).
% 0.20/0.55  apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H24. zenon_intro zenon_H23.
% 0.20/0.55  generalize (mDefIdeal (xJ)). zenon_intro zenon_H25.
% 0.20/0.55  apply (zenon_equiv_s _ _ zenon_H25); [ zenon_intro zenon_H28; zenon_intro zenon_H27 | zenon_intro zenon_H1d; zenon_intro zenon_H26 ].
% 0.20/0.55  exact (zenon_H28 zenon_H1d).
% 0.20/0.55  apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 0.20/0.55  apply (zenon_and_s _ _ m__934). zenon_intro zenon_H2c. zenon_intro zenon_H2b.
% 0.20/0.55  apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H2e. zenon_intro zenon_H2d.
% 0.20/0.55  apply (zenon_and_s _ _ m__967). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 0.20/0.55  apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H32. zenon_intro zenon_H31.
% 0.20/0.55  apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_H34 | zenon_intro zenon_H33 ].
% 0.20/0.55  generalize (zenon_H23 (xk)). zenon_intro zenon_H35.
% 0.20/0.55  apply (zenon_imply_s _ _ zenon_H35); [ zenon_intro zenon_H37 | zenon_intro zenon_H36 ].
% 0.20/0.55  exact (zenon_H37 zenon_H2c).
% 0.20/0.55  apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H39. zenon_intro zenon_H38.
% 0.20/0.55  generalize (zenon_H39 (xm)). zenon_intro zenon_H3a.
% 0.20/0.55  apply (zenon_imply_s _ _ zenon_H3a); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ].
% 0.20/0.55  exact (zenon_H3c zenon_H30).
% 0.20/0.55  exact (zenon_H34 zenon_H3b).
% 0.20/0.55  generalize (zenon_H29 (xl)). zenon_intro zenon_H3d.
% 0.20/0.55  apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H3f | zenon_intro zenon_H3e ].
% 0.20/0.55  exact (zenon_H3f zenon_H2e).
% 0.20/0.55  apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40.
% 0.20/0.55  generalize (zenon_H41 (xn)). zenon_intro zenon_H42.
% 0.20/0.55  apply (zenon_imply_s _ _ zenon_H42); [ zenon_intro zenon_H44 | zenon_intro zenon_H43 ].
% 0.20/0.55  exact (zenon_H44 zenon_H32).
% 0.20/0.55  exact (zenon_H33 zenon_H43).
% 0.20/0.55  Qed.
% 0.20/0.55  % SZS output end Proof
% 0.20/0.55  (* END-PROOF *)
% 0.20/0.55  nodes searched: 472
% 0.20/0.55  max branch formulas: 251
% 0.20/0.55  proof nodes created: 29
% 0.20/0.55  formulas created: 4305
% 0.20/0.55  
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