%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SET625+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 06:37:30 EDT 2022 % Result : Theorem 0.20s 0.51s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.13 % Problem : SET625+3 : TPTP v8.1.0. Released v2.2.0. % 0.10/0.13 % Command : run_zenon %s %d % 0.14/0.34 % Computer : n029.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Sun Jul 10 11:25:01 EDT 2022 % 0.14/0.34 % 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_th101 : (forall B : zenon_U, (forall C : zenon_U, (forall D : zenon_U, (((intersect B C)/\(subset C D))->(intersect B D))))). % 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 => (forall C : zenon_U, (forall D : zenon_U, (((intersect B C)/\(subset C D))->(intersect B D))))) 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 apply (zenon_notallex_s (fun C : zenon_U => (forall D : zenon_U, (((intersect zenon_TB_g C)/\(subset C D))->(intersect zenon_TB_g D)))) zenon_H7); [ zenon_intro zenon_H8; idtac ]. % 0.20/0.51 elim zenon_H8. zenon_intro zenon_TC_j. zenon_intro zenon_Ha. % 0.20/0.51 apply (zenon_notallex_s (fun D : zenon_U => (((intersect zenon_TB_g zenon_TC_j)/\(subset zenon_TC_j D))->(intersect zenon_TB_g D))) zenon_Ha); [ zenon_intro zenon_Hb; idtac ]. % 0.20/0.51 elim zenon_Hb. zenon_intro zenon_TD_m. zenon_intro zenon_Hd. % 0.20/0.51 apply (zenon_notimply_s _ _ zenon_Hd). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.20/0.51 apply (zenon_and_s _ _ zenon_Hf). zenon_intro zenon_H11. zenon_intro zenon_H10. % 0.20/0.51 generalize (intersect_defn zenon_TB_g). zenon_intro zenon_H12. % 0.20/0.51 generalize (zenon_H12 zenon_TC_j). zenon_intro zenon_H13. % 0.20/0.51 apply (zenon_equiv_s _ _ zenon_H13); [ zenon_intro zenon_H16; zenon_intro zenon_H15 | zenon_intro zenon_H11; zenon_intro zenon_H14 ]. % 0.20/0.51 exact (zenon_H16 zenon_H11). % 0.20/0.51 elim zenon_H14. zenon_intro zenon_TD_x. zenon_intro zenon_H18. % 0.20/0.51 apply (zenon_and_s _ _ zenon_H18). zenon_intro zenon_H1a. zenon_intro zenon_H19. % 0.20/0.51 generalize (subset_defn zenon_TC_j). zenon_intro zenon_H1b. % 0.20/0.51 generalize (zenon_H1b zenon_TD_m). zenon_intro zenon_H1c. % 0.20/0.51 apply (zenon_equiv_s _ _ zenon_H1c); [ zenon_intro zenon_H1f; zenon_intro zenon_H1e | zenon_intro zenon_H10; zenon_intro zenon_H1d ]. % 0.20/0.51 exact (zenon_H1f zenon_H10). % 0.20/0.51 generalize (intersect_defn zenon_TB_g). zenon_intro zenon_H12. % 0.20/0.51 generalize (zenon_H12 zenon_TD_m). zenon_intro zenon_H20. % 0.20/0.51 apply (zenon_equiv_s _ _ zenon_H20); [ zenon_intro zenon_He; zenon_intro zenon_H23 | zenon_intro zenon_H22; zenon_intro zenon_H21 ]. % 0.20/0.51 generalize (zenon_H1d zenon_TD_x). zenon_intro zenon_H24. % 0.20/0.51 apply (zenon_imply_s _ _ zenon_H24); [ zenon_intro zenon_H26 | zenon_intro zenon_H25 ]. % 0.20/0.51 exact (zenon_H26 zenon_H19). % 0.20/0.51 apply zenon_H23. exists zenon_TD_x. apply NNPP. zenon_intro zenon_H27. % 0.20/0.51 apply (zenon_notand_s _ _ zenon_H27); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ]. % 0.20/0.51 exact (zenon_H29 zenon_H1a). % 0.20/0.51 exact (zenon_H28 zenon_H25). % 0.20/0.51 exact (zenon_He zenon_H22). % 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: 32 % 0.20/0.51 max branch formulas: 29 % 0.20/0.51 proof nodes created: 20 % 0.20/0.51 formulas created: 236 % 0.20/0.51 %------------------------------------------------------------------------------