%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SET573+3 : TPTP v8.1.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n003.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 06:36:55 EDT 2022 % Result : Theorem 0.18s 0.49s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET573+3 : TPTP v8.1.0. Released v2.2.0. % 0.00/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n003.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 05:57:29 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.49 (* PROOF-FOUND *) % 0.18/0.49 % SZS status Theorem % 0.18/0.49 (* BEGIN-PROOF *) % 0.18/0.49 % SZS output start Proof % 0.18/0.49 Theorem prove_th12 : (forall B : zenon_U, (forall C : zenon_U, (forall D : zenon_U, (((member B C)/\(disjoint C D))->(~(member B D)))))). % 0.18/0.49 Proof. % 0.18/0.49 apply NNPP. intro zenon_G. % 0.18/0.49 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, (forall D : zenon_U, (((member B C)/\(disjoint C D))->(~(member B D)))))) zenon_G); [ zenon_intro zenon_H4; idtac ]. % 0.18/0.49 elim zenon_H4. zenon_intro zenon_TB_f. zenon_intro zenon_H6. % 0.18/0.49 apply (zenon_notallex_s (fun C : zenon_U => (forall D : zenon_U, (((member zenon_TB_f C)/\(disjoint C D))->(~(member zenon_TB_f D))))) zenon_H6); [ zenon_intro zenon_H7; idtac ]. % 0.18/0.49 elim zenon_H7. zenon_intro zenon_TC_i. zenon_intro zenon_H9. % 0.18/0.49 apply (zenon_notallex_s (fun D : zenon_U => (((member zenon_TB_f zenon_TC_i)/\(disjoint zenon_TC_i D))->(~(member zenon_TB_f D)))) zenon_H9); [ zenon_intro zenon_Ha; idtac ]. % 0.18/0.49 elim zenon_Ha. zenon_intro zenon_TD_l. zenon_intro zenon_Hc. % 0.18/0.49 apply (zenon_notimply_s _ _ zenon_Hc). zenon_intro zenon_He. zenon_intro zenon_Hd. % 0.18/0.49 apply zenon_Hd. zenon_intro zenon_Hf. % 0.18/0.49 apply (zenon_and_s _ _ zenon_He). zenon_intro zenon_H11. zenon_intro zenon_H10. % 0.18/0.49 generalize (disjoint_defn zenon_TC_i). zenon_intro zenon_H12. % 0.18/0.49 generalize (zenon_H12 zenon_TD_l). zenon_intro zenon_H13. % 0.18/0.49 apply (zenon_equiv_s _ _ zenon_H13); [ zenon_intro zenon_H16; zenon_intro zenon_H15 | zenon_intro zenon_H10; zenon_intro zenon_H14 ]. % 0.18/0.49 exact (zenon_H16 zenon_H10). % 0.18/0.49 generalize (intersect_defn zenon_TC_i). zenon_intro zenon_H17. % 0.18/0.49 generalize (zenon_H17 zenon_TD_l). zenon_intro zenon_H18. % 0.18/0.49 apply (zenon_equiv_s _ _ zenon_H18); [ zenon_intro zenon_H14; zenon_intro zenon_H1b | zenon_intro zenon_H1a; zenon_intro zenon_H19 ]. % 0.18/0.49 apply zenon_H1b. exists zenon_TB_f. apply NNPP. zenon_intro zenon_H1c. % 0.18/0.49 apply (zenon_notand_s _ _ zenon_H1c); [ zenon_intro zenon_H1e | zenon_intro zenon_H1d ]. % 0.18/0.49 exact (zenon_H1e zenon_H11). % 0.18/0.49 exact (zenon_H1d zenon_Hf). % 0.18/0.49 exact (zenon_H14 zenon_H1a). % 0.18/0.49 Qed. % 0.18/0.49 % SZS output end Proof % 0.18/0.49 (* END-PROOF *) % 0.18/0.49 nodes searched: 17 % 0.18/0.49 max branch formulas: 17 % 0.18/0.49 proof nodes created: 11 % 0.18/0.49 formulas created: 178 % 0.18/0.49 %------------------------------------------------------------------------------