%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SET574+3 : TPTP v8.1.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n022.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 06:36:56 EDT 2022 % Result : Theorem 0.19s 0.50s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SET574+3 : TPTP v8.1.0. Released v2.2.0. % 0.12/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n022.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 : Sat Jul 9 23:22:40 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.50 (* PROOF-FOUND *) % 0.19/0.50 % SZS status Theorem % 0.19/0.50 (* BEGIN-PROOF *) % 0.19/0.50 % SZS output start Proof % 0.19/0.50 Theorem prove_th13 : (forall B : zenon_U, (forall C : zenon_U, (forall D : zenon_U, (((member B C)/\(member B D))->(intersect C D))))). % 0.19/0.50 Proof. % 0.19/0.50 apply NNPP. intro zenon_G. % 0.19/0.50 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, (forall D : zenon_U, (((member B C)/\(member B D))->(intersect C D))))) zenon_G); [ zenon_intro zenon_H3; idtac ]. % 0.19/0.50 elim zenon_H3. zenon_intro zenon_TB_e. zenon_intro zenon_H5. % 0.19/0.50 apply (zenon_notallex_s (fun C : zenon_U => (forall D : zenon_U, (((member zenon_TB_e C)/\(member zenon_TB_e D))->(intersect C D)))) zenon_H5); [ zenon_intro zenon_H6; idtac ]. % 0.19/0.50 elim zenon_H6. zenon_intro zenon_TC_h. zenon_intro zenon_H8. % 0.19/0.50 apply (zenon_notallex_s (fun D : zenon_U => (((member zenon_TB_e zenon_TC_h)/\(member zenon_TB_e D))->(intersect zenon_TC_h D))) zenon_H8); [ zenon_intro zenon_H9; idtac ]. % 0.19/0.50 elim zenon_H9. zenon_intro zenon_TD_k. zenon_intro zenon_Hb. % 0.19/0.50 apply (zenon_notimply_s _ _ zenon_Hb). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.19/0.50 apply (zenon_and_s _ _ zenon_Hd). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.19/0.50 generalize (intersect_defn zenon_TC_h). zenon_intro zenon_H10. % 0.19/0.50 generalize (zenon_H10 zenon_TD_k). zenon_intro zenon_H11. % 0.19/0.50 apply (zenon_equiv_s _ _ zenon_H11); [ zenon_intro zenon_Hc; zenon_intro zenon_H14 | zenon_intro zenon_H13; zenon_intro zenon_H12 ]. % 0.19/0.50 apply zenon_H14. exists zenon_TB_e. apply NNPP. zenon_intro zenon_H15. % 0.19/0.50 apply (zenon_notand_s _ _ zenon_H15); [ zenon_intro zenon_H17 | zenon_intro zenon_H16 ]. % 0.19/0.50 exact (zenon_H17 zenon_Hf). % 0.19/0.50 exact (zenon_H16 zenon_He). % 0.19/0.50 exact (zenon_Hc zenon_H13). % 0.19/0.50 Qed. % 0.19/0.50 % SZS output end Proof % 0.19/0.50 (* END-PROOF *) % 0.19/0.50 nodes searched: 16 % 0.19/0.50 max branch formulas: 16 % 0.19/0.50 proof nodes created: 10 % 0.19/0.50 formulas created: 157 % 0.19/0.50 %------------------------------------------------------------------------------