%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SET576+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 06:36:56 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 % 0.04/0.12 % Problem : SET576+3 : TPTP v8.1.0. Released v2.2.0. % 0.04/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n029.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 12:45:01 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 prove_th17 : (forall B : zenon_U, (forall C : zenon_U, ((forall D : zenon_U, ((member D B)->(~(member D C))))->(disjoint B C)))). % 0.19/0.49 Proof. % 0.19/0.49 apply NNPP. intro zenon_G. % 0.19/0.49 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, ((forall D : zenon_U, ((member D B)->(~(member D C))))->(disjoint B C)))) zenon_G); [ zenon_intro zenon_H4; idtac ]. % 0.19/0.49 elim zenon_H4. zenon_intro zenon_TB_f. zenon_intro zenon_H6. % 0.19/0.49 apply (zenon_notallex_s (fun C : zenon_U => ((forall D : zenon_U, ((member D zenon_TB_f)->(~(member D C))))->(disjoint zenon_TB_f C))) zenon_H6); [ zenon_intro zenon_H7; idtac ]. % 0.19/0.49 elim zenon_H7. zenon_intro zenon_TC_i. zenon_intro zenon_H9. % 0.19/0.49 apply (zenon_notimply_s _ _ zenon_H9). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.19/0.49 generalize (disjoint_defn zenon_TB_f). zenon_intro zenon_Hc. % 0.19/0.49 generalize (zenon_Hc zenon_TC_i). zenon_intro zenon_Hd. % 0.19/0.49 apply (zenon_equiv_s _ _ zenon_Hd); [ zenon_intro zenon_Ha; zenon_intro zenon_H10 | zenon_intro zenon_Hf; zenon_intro zenon_He ]. % 0.19/0.49 apply zenon_H10. zenon_intro zenon_H11. % 0.19/0.49 generalize (intersect_defn zenon_TB_f). zenon_intro zenon_H12. % 0.19/0.49 generalize (zenon_H12 zenon_TC_i). zenon_intro zenon_H13. % 0.19/0.49 apply (zenon_equiv_s _ _ zenon_H13); [ zenon_intro zenon_He; zenon_intro zenon_H15 | zenon_intro zenon_H11; zenon_intro zenon_H14 ]. % 0.19/0.49 exact (zenon_He zenon_H11). % 0.19/0.49 elim zenon_H14. zenon_intro zenon_TD_w. zenon_intro zenon_H17. % 0.19/0.49 apply (zenon_and_s _ _ zenon_H17). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.19/0.49 generalize (zenon_Hb zenon_TD_w). zenon_intro zenon_H1a. % 0.19/0.49 apply (zenon_imply_s _ _ zenon_H1a); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ]. % 0.19/0.49 exact (zenon_H1c zenon_H19). % 0.19/0.49 exact (zenon_H1b zenon_H18). % 0.19/0.49 exact (zenon_Ha zenon_Hf). % 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: 18 % 0.19/0.49 max branch formulas: 18 % 0.19/0.49 proof nodes created: 13 % 0.19/0.49 formulas created: 163 % 0.19/0.49 %------------------------------------------------------------------------------