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