%------------------------------------------------------------------------------ % 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 : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----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 %------------------------------------------------------------------------------