TSTP Solution File: SET062+4 by Zenon---0.7.1

View Problem - Process Solution

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% File     : Zenon---0.7.1
% Problem  : SET062+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n014.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 06:33:18 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET062+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n014.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
% 0.12/0.33  % DateTime : Sun Jul 10 10:22:35 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.49  (* PROOF-FOUND *)
% 0.19/0.49  % SZS status Theorem
% 0.19/0.49  (* BEGIN-PROOF *)
% 0.19/0.49  % SZS output start Proof
% 0.19/0.49  Theorem thI15 : (forall A : zenon_U, (subset (empty_set) A)).
% 0.19/0.49  Proof.
% 0.19/0.49  apply NNPP. intro zenon_G.
% 0.19/0.49  apply (zenon_notallex_s (fun A : zenon_U => (subset (empty_set) A)) zenon_G); [ zenon_intro zenon_Hc; idtac ].
% 0.19/0.49  elim zenon_Hc. zenon_intro zenon_TA_n. zenon_intro zenon_He.
% 0.19/0.49  generalize (subset (empty_set)). zenon_intro zenon_Hf.
% 0.19/0.49  generalize (zenon_Hf zenon_TA_n). zenon_intro zenon_H10.
% 0.19/0.49  apply (zenon_equiv_s _ _ zenon_H10); [ zenon_intro zenon_He; zenon_intro zenon_H13 | zenon_intro zenon_H12; zenon_intro zenon_H11 ].
% 0.19/0.49  apply (zenon_notallex_s (fun X : zenon_U => ((member X (empty_set))->(member X zenon_TA_n))) zenon_H13); [ zenon_intro zenon_H14; idtac ].
% 0.19/0.49  elim zenon_H14. zenon_intro zenon_TX_v. zenon_intro zenon_H16.
% 0.19/0.49  apply (zenon_notimply_s _ _ zenon_H16). zenon_intro zenon_H18. zenon_intro zenon_H17.
% 0.19/0.49  generalize (empty_set zenon_TX_v). zenon_intro zenon_H19.
% 0.19/0.49  exact (zenon_H19 zenon_H18).
% 0.19/0.49  exact (zenon_He zenon_H12).
% 0.19/0.49  Qed.
% 0.19/0.49  % SZS output end Proof
% 0.19/0.49  (* END-PROOF *)
% 0.19/0.49  nodes searched: 126
% 0.19/0.49  max branch formulas: 136
% 0.19/0.49  proof nodes created: 9
% 0.19/0.49  formulas created: 1240
% 0.19/0.49  
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