%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SET688+4 : 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 06:37:59 EDT 2022 % Result : Theorem 0.36s 0.54s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SET688+4 : TPTP v8.1.0. Released v2.2.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n029.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Sun Jul 10 21:28:16 EDT 2022 % 0.12/0.34 % CPUTime : % 0.36/0.54 (* PROOF-FOUND *) % 0.36/0.54 % SZS status Theorem % 0.36/0.54 (* BEGIN-PROOF *) % 0.36/0.54 % SZS output start Proof % 0.36/0.54 Theorem thI04 : (forall A : zenon_U, (forall B : zenon_U, (forall C : zenon_U, (((subset A B)/\((~(equal_set A B))/\((subset B C)/\(~(equal_set B C)))))->(~(equal_set A C)))))). % 0.36/0.54 Proof. % 0.36/0.54 apply NNPP. intro zenon_G. % 0.36/0.54 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall C : zenon_U, (((subset A B)/\((~(equal_set A B))/\((subset B C)/\(~(equal_set B C)))))->(~(equal_set A C)))))) zenon_G); [ zenon_intro zenon_Hc; idtac ]. % 0.36/0.54 elim zenon_Hc. zenon_intro zenon_TA_n. zenon_intro zenon_He. % 0.36/0.54 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, (((subset zenon_TA_n B)/\((~(equal_set zenon_TA_n B))/\((subset B C)/\(~(equal_set B C)))))->(~(equal_set zenon_TA_n C))))) zenon_He); [ zenon_intro zenon_Hf; idtac ]. % 0.36/0.54 elim zenon_Hf. zenon_intro zenon_TB_q. zenon_intro zenon_H11. % 0.36/0.54 apply (zenon_notallex_s (fun C : zenon_U => (((subset zenon_TA_n zenon_TB_q)/\((~(equal_set zenon_TA_n zenon_TB_q))/\((subset zenon_TB_q C)/\(~(equal_set zenon_TB_q C)))))->(~(equal_set zenon_TA_n C)))) zenon_H11); [ zenon_intro zenon_H12; idtac ]. % 0.36/0.54 elim zenon_H12. zenon_intro zenon_TC_t. zenon_intro zenon_H14. % 0.36/0.54 apply (zenon_notimply_s _ _ zenon_H14). zenon_intro zenon_H16. zenon_intro zenon_H15. % 0.36/0.54 apply zenon_H15. zenon_intro zenon_H17. % 0.36/0.54 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.36/0.54 apply (zenon_and_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.36/0.54 apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.36/0.54 generalize (subset zenon_TA_n). zenon_intro zenon_H1e. % 0.36/0.54 generalize (zenon_H1e zenon_TB_q). zenon_intro zenon_H1f. % 0.36/0.54 apply (zenon_equiv_s _ _ zenon_H1f); [ zenon_intro zenon_H22; zenon_intro zenon_H21 | zenon_intro zenon_H19; zenon_intro zenon_H20 ]. % 0.36/0.54 exact (zenon_H22 zenon_H19). % 0.36/0.54 generalize (subset zenon_TB_q). zenon_intro zenon_H23. % 0.36/0.54 generalize (zenon_H23 zenon_TC_t). zenon_intro zenon_H24. % 0.36/0.54 apply (zenon_equiv_s _ _ zenon_H24); [ zenon_intro zenon_H27; zenon_intro zenon_H26 | zenon_intro zenon_H1d; zenon_intro zenon_H25 ]. % 0.36/0.54 exact (zenon_H27 zenon_H1d). % 0.36/0.54 generalize (equal_set zenon_TB_q). zenon_intro zenon_H28. % 0.36/0.54 generalize (zenon_H28 zenon_TC_t). zenon_intro zenon_H29. % 0.36/0.54 apply (zenon_equiv_s _ _ zenon_H29); [ zenon_intro zenon_H1c; zenon_intro zenon_H2c | zenon_intro zenon_H2b; zenon_intro zenon_H2a ]. % 0.36/0.54 generalize (equal_set zenon_TA_n). zenon_intro zenon_H2d. % 0.36/0.54 generalize (zenon_H2d zenon_TC_t). zenon_intro zenon_H2e. % 0.36/0.54 apply (zenon_equiv_s _ _ zenon_H2e); [ zenon_intro zenon_H31; zenon_intro zenon_H30 | zenon_intro zenon_H17; zenon_intro zenon_H2f ]. % 0.36/0.54 exact (zenon_H31 zenon_H17). % 0.36/0.54 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H33. zenon_intro zenon_H32. % 0.36/0.54 generalize (subset zenon_TC_t). zenon_intro zenon_H34. % 0.36/0.54 generalize (zenon_H34 zenon_TA_n). zenon_intro zenon_H35. % 0.36/0.54 apply (zenon_equiv_s _ _ zenon_H35); [ zenon_intro zenon_H38; zenon_intro zenon_H37 | zenon_intro zenon_H32; zenon_intro zenon_H36 ]. % 0.36/0.54 exact (zenon_H38 zenon_H32). % 0.36/0.54 apply (zenon_notand_s _ _ zenon_H2c); [ zenon_intro zenon_H27 | zenon_intro zenon_H39 ]. % 0.36/0.54 generalize (subset zenon_TB_q). zenon_intro zenon_H23. % 0.36/0.54 generalize (zenon_H23 zenon_TC_t). zenon_intro zenon_H24. % 0.36/0.54 apply (zenon_equiv_s _ _ zenon_H24); [ zenon_intro zenon_H27; zenon_intro zenon_H26 | zenon_intro zenon_H1d; zenon_intro zenon_H25 ]. % 0.36/0.54 exact (zenon_H26 zenon_H25). % 0.36/0.54 exact (zenon_H27 zenon_H1d). % 0.36/0.54 generalize (subset zenon_TC_t). zenon_intro zenon_H34. % 0.36/0.54 generalize (zenon_H34 zenon_TB_q). zenon_intro zenon_H3a. % 0.36/0.54 apply (zenon_equiv_s _ _ zenon_H3a); [ zenon_intro zenon_H39; zenon_intro zenon_H3d | zenon_intro zenon_H3c; zenon_intro zenon_H3b ]. % 0.36/0.54 apply (zenon_notallex_s (fun X : zenon_U => ((member X zenon_TC_t)->(member X zenon_TB_q))) zenon_H3d); [ zenon_intro zenon_H3e; idtac ]. % 0.36/0.54 elim zenon_H3e. zenon_intro zenon_TX_cl. zenon_intro zenon_H40. % 0.36/0.54 apply (zenon_notimply_s _ _ zenon_H40). zenon_intro zenon_H42. zenon_intro zenon_H41. % 0.36/0.54 generalize (zenon_H20 zenon_TX_cl). zenon_intro zenon_H43. % 0.36/0.54 apply (zenon_imply_s _ _ zenon_H43); [ zenon_intro zenon_H45 | zenon_intro zenon_H44 ]. % 0.36/0.54 generalize (zenon_H36 zenon_TX_cl). zenon_intro zenon_H46. % 0.36/0.54 apply (zenon_imply_s _ _ zenon_H46); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ]. % 0.36/0.54 exact (zenon_H48 zenon_H42). % 0.36/0.54 exact (zenon_H45 zenon_H47). % 0.36/0.54 exact (zenon_H41 zenon_H44). % 0.36/0.54 exact (zenon_H39 zenon_H3c). % 0.36/0.54 exact (zenon_H1c zenon_H2b). % 0.36/0.54 Qed. % 0.36/0.54 % SZS output end Proof % 0.36/0.54 (* END-PROOF *) % 0.36/0.54 nodes searched: 1225 % 0.36/0.54 max branch formulas: 835 % 0.36/0.54 proof nodes created: 75 % 0.36/0.54 formulas created: 9383 % 0.36/0.54 %------------------------------------------------------------------------------