%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SEU429+1 : TPTP v8.1.0. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n007.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 16:02:12 EDT 2022 % Result : Theorem 0.37s 0.54s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : SEU429+1 : TPTP v8.1.0. Released v3.4.0. % 0.03/0.14 % Command : run_zenon %s %d % 0.14/0.35 % Computer : n007.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Mon Jun 20 10:14:59 EDT 2022 % 0.14/0.36 % CPUTime : % 0.37/0.54 Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski % 0.37/0.54 (* PROOF-FOUND *) % 0.37/0.54 % SZS status Theorem % 0.37/0.54 (* BEGIN-PROOF *) % 0.37/0.54 % SZS output start Proof % 0.37/0.54 Theorem t28_relset_2 : (forall A : zenon_U, ((~(v1_xboole_0 A))->(forall B : zenon_U, (forall C : zenon_U, ((m1_subset_1 C (k1_zfmisc_1 (k1_zfmisc_1 A)))->(forall D : zenon_U, ((m2_relset_1 D A B)->(m1_subset_1 (a_4_1_relset_2 A B C D) (k1_zfmisc_1 (k1_zfmisc_1 B)))))))))). % 0.37/0.54 Proof. % 0.37/0.54 apply NNPP. intro zenon_G. % 0.37/0.54 apply (zenon_notallex_s (fun A : zenon_U => ((~(v1_xboole_0 A))->(forall B : zenon_U, (forall C : zenon_U, ((m1_subset_1 C (k1_zfmisc_1 (k1_zfmisc_1 A)))->(forall D : zenon_U, ((m2_relset_1 D A B)->(m1_subset_1 (a_4_1_relset_2 A B C D) (k1_zfmisc_1 (k1_zfmisc_1 B)))))))))) zenon_G); [ zenon_intro zenon_H2d; idtac ]. % 0.37/0.54 elim zenon_H2d. zenon_intro zenon_TA_bu. zenon_intro zenon_H2f. % 0.37/0.54 apply (zenon_notimply_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.37/0.54 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, ((m1_subset_1 C (k1_zfmisc_1 (k1_zfmisc_1 zenon_TA_bu)))->(forall D : zenon_U, ((m2_relset_1 D zenon_TA_bu B)->(m1_subset_1 (a_4_1_relset_2 zenon_TA_bu B C D) (k1_zfmisc_1 (k1_zfmisc_1 B)))))))) zenon_H30); [ zenon_intro zenon_H32; idtac ]. % 0.37/0.54 elim zenon_H32. zenon_intro zenon_TB_bz. zenon_intro zenon_H34. % 0.37/0.54 apply (zenon_notallex_s (fun C : zenon_U => ((m1_subset_1 C (k1_zfmisc_1 (k1_zfmisc_1 zenon_TA_bu)))->(forall D : zenon_U, ((m2_relset_1 D zenon_TA_bu zenon_TB_bz)->(m1_subset_1 (a_4_1_relset_2 zenon_TA_bu zenon_TB_bz C D) (k1_zfmisc_1 (k1_zfmisc_1 zenon_TB_bz))))))) zenon_H34); [ zenon_intro zenon_H35; idtac ]. % 0.37/0.54 elim zenon_H35. zenon_intro zenon_TC_cc. zenon_intro zenon_H37. % 0.37/0.54 apply (zenon_notimply_s _ _ zenon_H37). zenon_intro zenon_H39. zenon_intro zenon_H38. % 0.37/0.54 apply (zenon_notallex_s (fun D : zenon_U => ((m2_relset_1 D zenon_TA_bu zenon_TB_bz)->(m1_subset_1 (a_4_1_relset_2 zenon_TA_bu zenon_TB_bz zenon_TC_cc D) (k1_zfmisc_1 (k1_zfmisc_1 zenon_TB_bz))))) zenon_H38); [ zenon_intro zenon_H3a; idtac ]. % 0.37/0.54 elim zenon_H3a. zenon_intro zenon_TD_ch. zenon_intro zenon_H3c. % 0.37/0.54 apply (zenon_notimply_s _ _ zenon_H3c). zenon_intro zenon_H3e. zenon_intro zenon_H3d. % 0.37/0.54 generalize (redefinition_m2_relset_1 zenon_TA_bu). zenon_intro zenon_H3f. % 0.37/0.54 generalize (zenon_H3f zenon_TB_bz). zenon_intro zenon_H40. % 0.37/0.54 generalize (zenon_H40 zenon_TD_ch). zenon_intro zenon_H41. % 0.37/0.54 apply (zenon_equiv_s _ _ zenon_H41); [ zenon_intro zenon_H44; zenon_intro zenon_H43 | zenon_intro zenon_H3e; zenon_intro zenon_H42 ]. % 0.37/0.54 exact (zenon_H44 zenon_H3e). % 0.37/0.54 generalize (s8_domain_1__e1_38__relset_2 zenon_TA_bu). zenon_intro zenon_H45. % 0.37/0.54 generalize (zenon_H45 zenon_TB_bz). zenon_intro zenon_H46. % 0.37/0.54 generalize (zenon_H46 zenon_TC_cc). zenon_intro zenon_H47. % 0.37/0.54 generalize (zenon_H47 zenon_TD_ch). zenon_intro zenon_H48. % 0.37/0.54 apply (zenon_imply_s _ _ zenon_H48); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ]. % 0.37/0.54 apply (zenon_notand_s _ _ zenon_H4a); [ zenon_intro zenon_H4c | zenon_intro zenon_H4b ]. % 0.37/0.54 exact (zenon_H4c zenon_H31). % 0.37/0.54 apply (zenon_notand_s _ _ zenon_H4b); [ zenon_intro zenon_H4d | zenon_intro zenon_H44 ]. % 0.37/0.54 exact (zenon_H4d zenon_H39). % 0.37/0.54 generalize (redefinition_m2_relset_1 zenon_TA_bu). zenon_intro zenon_H3f. % 0.37/0.54 generalize (zenon_H3f zenon_TB_bz). zenon_intro zenon_H40. % 0.37/0.54 generalize (zenon_H40 zenon_TD_ch). zenon_intro zenon_H41. % 0.37/0.54 apply (zenon_equiv_s _ _ zenon_H41); [ zenon_intro zenon_H44; zenon_intro zenon_H43 | zenon_intro zenon_H3e; zenon_intro zenon_H42 ]. % 0.37/0.54 exact (zenon_H43 zenon_H42). % 0.37/0.54 exact (zenon_H44 zenon_H3e). % 0.37/0.54 exact (zenon_H3d zenon_H49). % 0.37/0.54 Qed. % 0.37/0.54 % SZS output end Proof % 0.37/0.54 (* END-PROOF *) % 0.37/0.54 nodes searched: 260 % 0.37/0.54 max branch formulas: 301 % 0.37/0.54 proof nodes created: 29 % 0.37/0.54 formulas created: 2366 % 0.37/0.54 %------------------------------------------------------------------------------