%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SEU356+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n012.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 16:01:28 EDT 2022 % Result : Theorem 0.92s 1.09s % Output : Proof 0.92s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU356+1 : TPTP v8.1.0. Released v3.3.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n012.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 Jun 19 00:32:23 EDT 2022 % 0.12/0.33 % CPUTime : % 0.92/1.09 (* PROOF-FOUND *) % 0.92/1.09 % SZS status Theorem % 0.92/1.09 (* BEGIN-PROOF *) % 0.92/1.09 % SZS output start Proof % 0.92/1.09 Theorem t15_yellow_0 : (forall A : zenon_U, (((antisymmetric_relstr A)/\(rel_str A))->(forall B : zenon_U, ((ex_sup_of_relstr_set A B)<->(exists C : zenon_U, ((element C (the_carrier A))/\((relstr_set_smaller A B C)/\(forall D : zenon_U, ((element D (the_carrier A))->((relstr_set_smaller A B D)->(related A C D))))))))))). % 0.92/1.09 Proof. % 0.92/1.09 apply NNPP. intro zenon_G. % 0.92/1.09 apply (zenon_notallex_s (fun A : zenon_U => (((antisymmetric_relstr A)/\(rel_str A))->(forall B : zenon_U, ((ex_sup_of_relstr_set A B)<->(exists C : zenon_U, ((element C (the_carrier A))/\((relstr_set_smaller A B C)/\(forall D : zenon_U, ((element D (the_carrier A))->((relstr_set_smaller A B D)->(related A C D))))))))))) zenon_G); [ zenon_intro zenon_H8; idtac ]. % 0.92/1.09 elim zenon_H8. zenon_intro zenon_TA_j. zenon_intro zenon_Ha. % 0.92/1.09 apply (zenon_notimply_s _ _ zenon_Ha). zenon_intro zenon_Hc. zenon_intro zenon_Hb. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hc). zenon_intro zenon_He. zenon_intro zenon_Hd. % 0.92/1.09 apply (zenon_notallex_s (fun B : zenon_U => ((ex_sup_of_relstr_set zenon_TA_j B)<->(exists C : zenon_U, ((element C (the_carrier zenon_TA_j))/\((relstr_set_smaller zenon_TA_j B C)/\(forall D : zenon_U, ((element D (the_carrier zenon_TA_j))->((relstr_set_smaller zenon_TA_j B D)->(related zenon_TA_j C D))))))))) zenon_Hb); [ zenon_intro zenon_Hf; idtac ]. % 0.92/1.09 elim zenon_Hf. zenon_intro zenon_TB_q. zenon_intro zenon_H11. % 0.92/1.09 apply (zenon_notequiv_s _ _ zenon_H11); [ zenon_intro zenon_H15; zenon_intro zenon_H14 | zenon_intro zenon_H13; zenon_intro zenon_H12 ]. % 0.92/1.09 elim zenon_H14. zenon_intro zenon_TC_w. zenon_intro zenon_H17. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H17). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.92/1.09 generalize (d7_yellow_0 zenon_TA_j). zenon_intro zenon_H1c. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H1c); [ zenon_intro zenon_H1e | zenon_intro zenon_H1d ]. % 0.92/1.09 exact (zenon_H1e zenon_Hd). % 0.92/1.09 generalize (zenon_H1d zenon_TB_q). zenon_intro zenon_H1f. % 0.92/1.09 apply (zenon_equiv_s _ _ zenon_H1f); [ zenon_intro zenon_H15; zenon_intro zenon_H21 | zenon_intro zenon_H13; zenon_intro zenon_H20 ]. % 0.92/1.09 generalize (t25_orders_2 zenon_TA_j). zenon_intro zenon_H22. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H22); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ]. % 0.92/1.09 apply (zenon_notand_s _ _ zenon_H24); [ zenon_intro zenon_H25 | zenon_intro zenon_H1e ]. % 0.92/1.09 exact (zenon_H25 zenon_He). % 0.92/1.09 exact (zenon_H1e zenon_Hd). % 0.92/1.09 generalize (zenon_H23 zenon_TC_w). zenon_intro zenon_H26. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H26); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ]. % 0.92/1.09 exact (zenon_H28 zenon_H19). % 0.92/1.09 apply zenon_H21. exists zenon_TC_w. apply NNPP. zenon_intro zenon_H29. % 0.92/1.09 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H28 | zenon_intro zenon_H2a ]. % 0.92/1.09 exact (zenon_H28 zenon_H19). % 0.92/1.09 apply (zenon_notand_s _ _ zenon_H2a); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ]. % 0.92/1.09 exact (zenon_H2c zenon_H1b). % 0.92/1.09 apply (zenon_notand_s _ _ zenon_H2b); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ]. % 0.92/1.09 exact (zenon_H2e zenon_H1a). % 0.92/1.09 apply (zenon_notallex_s (fun D : zenon_U => ((element D (the_carrier zenon_TA_j))->(((relstr_set_smaller zenon_TA_j zenon_TB_q D)/\(forall E : zenon_U, ((element E (the_carrier zenon_TA_j))->((relstr_set_smaller zenon_TA_j zenon_TB_q E)->(related zenon_TA_j D E)))))->(D = zenon_TC_w)))) zenon_H2d); [ zenon_intro zenon_H2f; idtac ]. % 0.92/1.09 elim zenon_H2f. zenon_intro zenon_TD_bw. zenon_intro zenon_H31. % 0.92/1.09 apply (zenon_notimply_s _ _ zenon_H31). zenon_intro zenon_H33. zenon_intro zenon_H32. % 0.92/1.09 apply (zenon_notimply_s _ _ zenon_H32). zenon_intro zenon_H35. zenon_intro zenon_H34. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H37. zenon_intro zenon_H36. % 0.92/1.09 generalize (zenon_H36 zenon_TC_w). zenon_intro zenon_H38. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H38); [ zenon_intro zenon_H28 | zenon_intro zenon_H39 ]. % 0.92/1.09 exact (zenon_H28 zenon_H19). % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H39); [ zenon_intro zenon_H2c | zenon_intro zenon_H3a ]. % 0.92/1.09 exact (zenon_H2c zenon_H1b). % 0.92/1.09 generalize (zenon_H27 zenon_TD_bw). zenon_intro zenon_H3b. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H3b); [ zenon_intro zenon_H3d | zenon_intro zenon_H3c ]. % 0.92/1.09 exact (zenon_H3d zenon_H33). % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H3c); [ zenon_intro zenon_H3f | zenon_intro zenon_H3e ]. % 0.92/1.09 apply (zenon_notand_s _ _ zenon_H3f); [ zenon_intro zenon_H41 | zenon_intro zenon_H40 ]. % 0.92/1.09 generalize (zenon_H1a zenon_TD_bw). zenon_intro zenon_H42. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H42); [ zenon_intro zenon_H3d | zenon_intro zenon_H43 ]. % 0.92/1.09 exact (zenon_H3d zenon_H33). % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H43); [ zenon_intro zenon_H45 | zenon_intro zenon_H44 ]. % 0.92/1.09 exact (zenon_H45 zenon_H37). % 0.92/1.09 exact (zenon_H41 zenon_H44). % 0.92/1.09 exact (zenon_H40 zenon_H3a). % 0.92/1.09 apply zenon_H34. apply sym_equal. exact zenon_H3e. % 0.92/1.09 exact (zenon_H15 zenon_H13). % 0.92/1.09 generalize (d7_yellow_0 zenon_TA_j). zenon_intro zenon_H1c. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H1c); [ zenon_intro zenon_H1e | zenon_intro zenon_H1d ]. % 0.92/1.09 exact (zenon_H1e zenon_Hd). % 0.92/1.09 generalize (zenon_H1d zenon_TB_q). zenon_intro zenon_H1f. % 0.92/1.09 apply (zenon_equiv_s _ _ zenon_H1f); [ zenon_intro zenon_H15; zenon_intro zenon_H21 | zenon_intro zenon_H13; zenon_intro zenon_H20 ]. % 0.92/1.09 exact (zenon_H15 zenon_H13). % 0.92/1.09 elim zenon_H20. zenon_intro zenon_TC_cs. zenon_intro zenon_H47. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.92/1.09 apply zenon_H12. exists zenon_TC_cs. apply NNPP. zenon_intro zenon_H4e. % 0.92/1.09 apply (zenon_notand_s _ _ zenon_H4e); [ zenon_intro zenon_H50 | zenon_intro zenon_H4f ]. % 0.92/1.09 exact (zenon_H50 zenon_H49). % 0.92/1.09 apply (zenon_notand_s _ _ zenon_H4f); [ zenon_intro zenon_H52 | zenon_intro zenon_H51 ]. % 0.92/1.09 exact (zenon_H52 zenon_H4b). % 0.92/1.09 exact (zenon_H51 zenon_H4d). % 0.92/1.09 Qed. % 0.92/1.09 % SZS output end Proof % 0.92/1.09 (* END-PROOF *) % 0.92/1.09 nodes searched: 19673 % 0.92/1.09 max branch formulas: 973 % 0.92/1.09 proof nodes created: 654 % 0.92/1.09 formulas created: 31444 % 0.92/1.09 %------------------------------------------------------------------------------