%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SET027+4 : TPTP v8.1.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n017.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 06:32:46 EDT 2022 % Result : Theorem 0.43s 0.60s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : SET027+4 : TPTP v8.1.0. Released v2.2.0. % 0.08/0.15 % Command : run_zenon %s %d % 0.14/0.37 % Computer : n017.cluster.edu % 0.14/0.37 % Model : x86_64 x86_64 % 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.37 % Memory : 8042.1875MB % 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.37 % CPULimit : 300 % 0.14/0.37 % WCLimit : 600 % 0.14/0.37 % DateTime : Sun Jul 10 08:14:17 EDT 2022 % 0.14/0.37 % CPUTime : % 0.43/0.60 (* PROOF-FOUND *) % 0.43/0.60 % SZS status Theorem % 0.43/0.60 (* BEGIN-PROOF *) % 0.43/0.60 % SZS output start Proof % 0.43/0.60 Theorem thI03 : (forall A : zenon_U, (forall B : zenon_U, (forall C : zenon_U, (((subset A B)/\(subset B C))->(subset A C))))). % 0.43/0.60 Proof. % 0.43/0.60 apply NNPP. intro zenon_G. % 0.43/0.60 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall C : zenon_U, (((subset A B)/\(subset B C))->(subset A C))))) zenon_G); [ zenon_intro zenon_Hc; idtac ]. % 0.43/0.60 elim zenon_Hc. zenon_intro zenon_TA_n. zenon_intro zenon_He. % 0.43/0.60 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, (((subset zenon_TA_n B)/\(subset B C))->(subset zenon_TA_n C)))) zenon_He); [ zenon_intro zenon_Hf; idtac ]. % 0.43/0.60 elim zenon_Hf. zenon_intro zenon_TB_q. zenon_intro zenon_H11. % 0.43/0.60 apply (zenon_notallex_s (fun C : zenon_U => (((subset zenon_TA_n zenon_TB_q)/\(subset zenon_TB_q C))->(subset zenon_TA_n C))) zenon_H11); [ zenon_intro zenon_H12; idtac ]. % 0.43/0.60 elim zenon_H12. zenon_intro zenon_TC_t. zenon_intro zenon_H14. % 0.43/0.60 apply (zenon_notimply_s _ _ zenon_H14). zenon_intro zenon_H16. zenon_intro zenon_H15. % 0.43/0.60 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H18. zenon_intro zenon_H17. % 0.43/0.60 generalize (subset zenon_TA_n). zenon_intro zenon_H19. % 0.43/0.60 generalize (zenon_H19 zenon_TB_q). zenon_intro zenon_H1a. % 0.43/0.60 apply (zenon_equiv_s _ _ zenon_H1a); [ zenon_intro zenon_H1d; zenon_intro zenon_H1c | zenon_intro zenon_H18; zenon_intro zenon_H1b ]. % 0.43/0.60 exact (zenon_H1d zenon_H18). % 0.43/0.60 generalize (subset zenon_TB_q). zenon_intro zenon_H1e. % 0.43/0.60 generalize (zenon_H1e zenon_TC_t). zenon_intro zenon_H1f. % 0.43/0.60 apply (zenon_equiv_s _ _ zenon_H1f); [ zenon_intro zenon_H22; zenon_intro zenon_H21 | zenon_intro zenon_H17; zenon_intro zenon_H20 ]. % 0.43/0.60 exact (zenon_H22 zenon_H17). % 0.43/0.60 generalize (subset zenon_TA_n). zenon_intro zenon_H19. % 0.43/0.60 generalize (zenon_H19 zenon_TC_t). zenon_intro zenon_H23. % 0.43/0.60 apply (zenon_equiv_s _ _ zenon_H23); [ zenon_intro zenon_H15; zenon_intro zenon_H26 | zenon_intro zenon_H25; zenon_intro zenon_H24 ]. % 0.43/0.60 apply (zenon_notallex_s (fun X : zenon_U => ((member X zenon_TA_n)->(member X zenon_TC_t))) zenon_H26); [ zenon_intro zenon_H27; idtac ]. % 0.43/0.60 elim zenon_H27. zenon_intro zenon_TX_bo. zenon_intro zenon_H29. % 0.43/0.60 apply (zenon_notimply_s _ _ zenon_H29). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.43/0.60 generalize (zenon_H20 zenon_TX_bo). zenon_intro zenon_H2c. % 0.43/0.60 apply (zenon_imply_s _ _ zenon_H2c); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ]. % 0.43/0.60 generalize (zenon_H1b zenon_TX_bo). zenon_intro zenon_H2f. % 0.43/0.60 apply (zenon_imply_s _ _ zenon_H2f); [ zenon_intro zenon_H31 | zenon_intro zenon_H30 ]. % 0.43/0.60 exact (zenon_H31 zenon_H2b). % 0.43/0.60 exact (zenon_H2e zenon_H30). % 0.43/0.60 exact (zenon_H2a zenon_H2d). % 0.43/0.60 exact (zenon_H15 zenon_H25). % 0.43/0.60 Qed. % 0.43/0.60 % SZS output end Proof % 0.43/0.60 (* END-PROOF *) % 0.43/0.60 nodes searched: 1079 % 0.43/0.60 max branch formulas: 740 % 0.43/0.60 proof nodes created: 63 % 0.43/0.60 formulas created: 7786 % 0.43/0.60 %------------------------------------------------------------------------------