TSTP Solution File: SET062+3 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SET062+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n029.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 0.20s 0.51s
% 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
% 0.11/0.13 % Problem : SET062+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n029.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 : Sun Jul 10 12:26:16 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 prove_empty_set_subset : (forall B : zenon_U, (subset (empty_set) B)).
% 0.20/0.51 Proof.
% 0.20/0.51 apply NNPP. intro zenon_G.
% 0.20/0.51 apply (zenon_notallex_s (fun B : zenon_U => (subset (empty_set) B)) zenon_G); [ zenon_intro zenon_H5; idtac ].
% 0.20/0.51 elim zenon_H5. zenon_intro zenon_TB_g. zenon_intro zenon_H7.
% 0.20/0.51 generalize (subset_defn (empty_set)). zenon_intro zenon_H8.
% 0.20/0.51 generalize (zenon_H8 zenon_TB_g). zenon_intro zenon_H9.
% 0.20/0.51 apply (zenon_equiv_s _ _ zenon_H9); [ zenon_intro zenon_H7; zenon_intro zenon_Hc | zenon_intro zenon_Hb; zenon_intro zenon_Ha ].
% 0.20/0.51 apply (zenon_notallex_s (fun D : zenon_U => ((member D (empty_set))->(member D zenon_TB_g))) zenon_Hc); [ zenon_intro zenon_Hd; idtac ].
% 0.20/0.51 elim zenon_Hd. zenon_intro zenon_TD_o. zenon_intro zenon_Hf.
% 0.20/0.51 apply (zenon_notimply_s _ _ zenon_Hf). zenon_intro zenon_H11. zenon_intro zenon_H10.
% 0.20/0.51 generalize (empty_set_defn zenon_TD_o). zenon_intro zenon_H12.
% 0.20/0.51 exact (zenon_H12 zenon_H11).
% 0.20/0.51 exact (zenon_H7 zenon_Hb).
% 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: 11
% 0.20/0.51 max branch formulas: 12
% 0.20/0.51 proof nodes created: 7
% 0.20/0.51 formulas created: 126
% 0.20/0.51
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