%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SET627+3 : TPTP v8.1.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n007.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 06:37:31 EDT 2022 % Result : Theorem 0.17s 0.48s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SET627+3 : TPTP v8.1.0. Released v2.2.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.11/0.32 % Computer : n007.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 600 % 0.11/0.32 % DateTime : Sun Jul 10 14:30:17 EDT 2022 % 0.11/0.33 % CPUTime : % 0.17/0.48 (* PROOF-FOUND *) % 0.17/0.48 % SZS status Theorem % 0.17/0.48 (* BEGIN-PROOF *) % 0.17/0.48 % SZS output start Proof % 0.17/0.48 Theorem prove_th104 : (forall B : zenon_U, (disjoint B (empty_set))). % 0.17/0.48 Proof. % 0.17/0.48 apply NNPP. intro zenon_G. % 0.17/0.48 apply (zenon_notallex_s (fun B : zenon_U => (disjoint B (empty_set))) zenon_G); [ zenon_intro zenon_H6; idtac ]. % 0.17/0.48 elim zenon_H6. zenon_intro zenon_TB_h. zenon_intro zenon_H8. % 0.17/0.48 generalize (disjoint_defn zenon_TB_h). zenon_intro zenon_H9. % 0.17/0.48 generalize (zenon_H9 (empty_set)). zenon_intro zenon_Ha. % 0.17/0.48 apply (zenon_equiv_s _ _ zenon_Ha); [ zenon_intro zenon_H8; zenon_intro zenon_Hd | zenon_intro zenon_Hc; zenon_intro zenon_Hb ]. % 0.17/0.48 apply zenon_Hd. zenon_intro zenon_He. % 0.17/0.48 generalize (intersect_defn zenon_TB_h). zenon_intro zenon_Hf. % 0.17/0.48 generalize (zenon_Hf (empty_set)). zenon_intro zenon_H10. % 0.17/0.48 apply (zenon_equiv_s _ _ zenon_H10); [ zenon_intro zenon_Hb; zenon_intro zenon_H12 | zenon_intro zenon_He; zenon_intro zenon_H11 ]. % 0.17/0.48 exact (zenon_Hb zenon_He). % 0.17/0.48 elim zenon_H11. zenon_intro zenon_TD_t. zenon_intro zenon_H14. % 0.17/0.48 apply (zenon_and_s _ _ zenon_H14). zenon_intro zenon_H16. zenon_intro zenon_H15. % 0.17/0.48 generalize (empty_set_defn zenon_TD_t). zenon_intro zenon_H17. % 0.17/0.48 exact (zenon_H17 zenon_H15). % 0.17/0.48 exact (zenon_H8 zenon_Hc). % 0.17/0.48 Qed. % 0.17/0.48 % SZS output end Proof % 0.17/0.48 (* END-PROOF *) % 0.17/0.48 nodes searched: 12 % 0.17/0.48 max branch formulas: 13 % 0.17/0.48 proof nodes created: 9 % 0.17/0.48 formulas created: 142 % 0.17/0.48 %------------------------------------------------------------------------------