%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SEU435+1 : TPTP v8.1.0. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n014.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 16:02:18 EDT 2022 % Result : Theorem 0.21s 0.53s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SEU435+1 : TPTP v8.1.0. Released v3.4.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.13/0.35 % Computer : n014.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Sun Jun 19 21:49:18 EDT 2022 % 0.13/0.35 % CPUTime : % 0.21/0.53 Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski % 0.21/0.53 (* PROOF-FOUND *) % 0.21/0.53 % SZS status Theorem % 0.21/0.53 (* BEGIN-PROOF *) % 0.21/0.53 % SZS output start Proof % 0.21/0.53 Theorem t36_relset_2 : (forall A : zenon_U, (forall B : zenon_U, (forall C : zenon_U, ((m1_subset_1 C (k1_zfmisc_1 (k1_zfmisc_1 (k2_zfmisc_1 A B))))->(forall D : zenon_U, (forall E : zenon_U, (forall F : zenon_U, ((m1_subset_1 F (k1_zfmisc_1 D))->(m1_subset_1 (a_6_0_relset_2 A B C D E F) (k1_zfmisc_1 (k1_zfmisc_1 E))))))))))). % 0.21/0.53 Proof. % 0.21/0.53 apply NNPP. intro zenon_G. % 0.21/0.53 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall C : zenon_U, ((m1_subset_1 C (k1_zfmisc_1 (k1_zfmisc_1 (k2_zfmisc_1 A B))))->(forall D : zenon_U, (forall E : zenon_U, (forall F : zenon_U, ((m1_subset_1 F (k1_zfmisc_1 D))->(m1_subset_1 (a_6_0_relset_2 A B C D E F) (k1_zfmisc_1 (k1_zfmisc_1 E))))))))))) zenon_G); [ zenon_intro zenon_H2d; idtac ]. % 0.21/0.53 elim zenon_H2d. zenon_intro zenon_TA_bu. zenon_intro zenon_H2f. % 0.21/0.53 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, ((m1_subset_1 C (k1_zfmisc_1 (k1_zfmisc_1 (k2_zfmisc_1 zenon_TA_bu B))))->(forall D : zenon_U, (forall E : zenon_U, (forall F : zenon_U, ((m1_subset_1 F (k1_zfmisc_1 D))->(m1_subset_1 (a_6_0_relset_2 zenon_TA_bu B C D E F) (k1_zfmisc_1 (k1_zfmisc_1 E)))))))))) zenon_H2f); [ zenon_intro zenon_H30; idtac ]. % 0.21/0.53 elim zenon_H30. zenon_intro zenon_TB_bx. zenon_intro zenon_H32. % 0.21/0.53 apply (zenon_notallex_s (fun C : zenon_U => ((m1_subset_1 C (k1_zfmisc_1 (k1_zfmisc_1 (k2_zfmisc_1 zenon_TA_bu zenon_TB_bx))))->(forall D : zenon_U, (forall E : zenon_U, (forall F : zenon_U, ((m1_subset_1 F (k1_zfmisc_1 D))->(m1_subset_1 (a_6_0_relset_2 zenon_TA_bu zenon_TB_bx C D E F) (k1_zfmisc_1 (k1_zfmisc_1 E))))))))) zenon_H32); [ zenon_intro zenon_H33; idtac ]. % 0.21/0.53 elim zenon_H33. zenon_intro zenon_TC_ca. zenon_intro zenon_H35. % 0.21/0.53 apply (zenon_notimply_s _ _ zenon_H35). zenon_intro zenon_H37. zenon_intro zenon_H36. % 0.21/0.53 apply (zenon_notallex_s (fun D : zenon_U => (forall E : zenon_U, (forall F : zenon_U, ((m1_subset_1 F (k1_zfmisc_1 D))->(m1_subset_1 (a_6_0_relset_2 zenon_TA_bu zenon_TB_bx zenon_TC_ca D E F) (k1_zfmisc_1 (k1_zfmisc_1 E))))))) zenon_H36); [ zenon_intro zenon_H38; idtac ]. % 0.21/0.53 elim zenon_H38. zenon_intro zenon_TD_cf. zenon_intro zenon_H3a. % 0.21/0.53 apply (zenon_notallex_s (fun E : zenon_U => (forall F : zenon_U, ((m1_subset_1 F (k1_zfmisc_1 zenon_TD_cf))->(m1_subset_1 (a_6_0_relset_2 zenon_TA_bu zenon_TB_bx zenon_TC_ca zenon_TD_cf E F) (k1_zfmisc_1 (k1_zfmisc_1 E)))))) zenon_H3a); [ zenon_intro zenon_H3b; idtac ]. % 0.21/0.53 elim zenon_H3b. zenon_intro zenon_TE_ci. zenon_intro zenon_H3d. % 0.21/0.53 apply (zenon_notallex_s (fun F : zenon_U => ((m1_subset_1 F (k1_zfmisc_1 zenon_TD_cf))->(m1_subset_1 (a_6_0_relset_2 zenon_TA_bu zenon_TB_bx zenon_TC_ca zenon_TD_cf zenon_TE_ci F) (k1_zfmisc_1 (k1_zfmisc_1 zenon_TE_ci))))) zenon_H3d); [ zenon_intro zenon_H3e; idtac ]. % 0.21/0.53 elim zenon_H3e. zenon_intro zenon_TF_cl. zenon_intro zenon_H40. % 0.21/0.53 apply (zenon_notimply_s _ _ zenon_H40). zenon_intro zenon_H42. zenon_intro zenon_H41. % 0.21/0.53 generalize (s8_domain_1__e1_46__relset_2 zenon_TA_bu). zenon_intro zenon_H43. % 0.21/0.53 generalize (zenon_H43 zenon_TB_bx). zenon_intro zenon_H44. % 0.21/0.53 generalize (zenon_H44 zenon_TC_ca). zenon_intro zenon_H45. % 0.21/0.53 generalize (zenon_H45 zenon_TD_cf). zenon_intro zenon_H46. % 0.21/0.53 generalize (zenon_H46 zenon_TE_ci). zenon_intro zenon_H47. % 0.21/0.53 generalize (zenon_H47 zenon_TF_cl). zenon_intro zenon_H48. % 0.21/0.53 apply (zenon_imply_s _ _ zenon_H48); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ]. % 0.21/0.53 apply (zenon_notand_s _ _ zenon_H4a); [ zenon_intro zenon_H4c | zenon_intro zenon_H4b ]. % 0.21/0.53 exact (zenon_H4c zenon_H37). % 0.21/0.53 exact (zenon_H4b zenon_H42). % 0.21/0.53 exact (zenon_H41 zenon_H49). % 0.21/0.53 Qed. % 0.21/0.53 % SZS output end Proof % 0.21/0.53 (* END-PROOF *) % 0.21/0.53 nodes searched: 327 % 0.21/0.53 max branch formulas: 351 % 0.21/0.53 proof nodes created: 42 % 0.21/0.53 formulas created: 2838 % 0.21/0.53 %------------------------------------------------------------------------------