%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SEU355+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n016.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 16:01:27 EDT 2022 % Result : Theorem 0.34s 0.53s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SEU355+1 : TPTP v8.1.0. Released v3.3.0. % 0.06/0.13 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n016.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 Jun 19 10:54:38 EDT 2022 % 0.12/0.34 % CPUTime : % 0.34/0.53 (* PROOF-FOUND *) % 0.34/0.53 % SZS status Theorem % 0.34/0.53 (* BEGIN-PROOF *) % 0.34/0.53 % SZS output start Proof % 0.34/0.53 Theorem t6_yellow_0 : (forall A : zenon_U, ((rel_str A)->(forall B : zenon_U, ((element B (the_carrier A))->((relstr_set_smaller A (empty_set) B)/\(relstr_element_smaller A (empty_set) B)))))). % 0.34/0.53 Proof. % 0.34/0.53 apply NNPP. intro zenon_G. % 0.34/0.53 apply (zenon_notallex_s (fun A : zenon_U => ((rel_str A)->(forall B : zenon_U, ((element B (the_carrier A))->((relstr_set_smaller A (empty_set) B)/\(relstr_element_smaller A (empty_set) B)))))) zenon_G); [ zenon_intro zenon_H13; idtac ]. % 0.34/0.53 elim zenon_H13. zenon_intro zenon_TA_u. zenon_intro zenon_H15. % 0.34/0.53 apply (zenon_notimply_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.34/0.53 apply (zenon_notallex_s (fun B : zenon_U => ((element B (the_carrier zenon_TA_u))->((relstr_set_smaller zenon_TA_u (empty_set) B)/\(relstr_element_smaller zenon_TA_u (empty_set) B)))) zenon_H16); [ zenon_intro zenon_H18; idtac ]. % 0.34/0.53 elim zenon_H18. zenon_intro zenon_TB_z. zenon_intro zenon_H1a. % 0.34/0.53 apply (zenon_notimply_s _ _ zenon_H1a). zenon_intro zenon_H1c. zenon_intro zenon_H1b. % 0.34/0.53 apply (zenon_notand_s _ _ zenon_H1b); [ zenon_intro zenon_H1e | zenon_intro zenon_H1d ]. % 0.34/0.53 generalize (d9_lattice3 zenon_TA_u). zenon_intro zenon_H1f. % 0.34/0.53 apply (zenon_imply_s _ _ zenon_H1f); [ zenon_intro zenon_H21 | zenon_intro zenon_H20 ]. % 0.34/0.53 exact (zenon_H21 zenon_H17). % 0.34/0.53 generalize (zenon_H20 (empty_set)). zenon_intro zenon_H22. % 0.34/0.53 generalize (zenon_H22 zenon_TB_z). zenon_intro zenon_H23. % 0.34/0.53 apply (zenon_imply_s _ _ zenon_H23); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ]. % 0.34/0.53 exact (zenon_H25 zenon_H1c). % 0.34/0.53 apply (zenon_equiv_s _ _ zenon_H24); [ zenon_intro zenon_H1e; zenon_intro zenon_H28 | zenon_intro zenon_H27; zenon_intro zenon_H26 ]. % 0.34/0.53 apply (zenon_notallex_s (fun D : zenon_U => ((element D (the_carrier zenon_TA_u))->((in D (empty_set))->(related zenon_TA_u D zenon_TB_z)))) zenon_H28); [ zenon_intro zenon_H29; idtac ]. % 0.34/0.53 elim zenon_H29. zenon_intro zenon_TD_bq. zenon_intro zenon_H2b. % 0.34/0.53 apply (zenon_notimply_s _ _ zenon_H2b). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.34/0.53 apply (zenon_notimply_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.34/0.53 generalize (t7_boole zenon_TD_bq). zenon_intro zenon_H30. % 0.34/0.53 generalize (zenon_H30 (empty_set)). zenon_intro zenon_H31. % 0.34/0.53 apply (zenon_notand_s _ _ zenon_H31); [ zenon_intro zenon_H33 | zenon_intro zenon_H32 ]. % 0.34/0.53 exact (zenon_H33 zenon_H2f). % 0.34/0.53 exact (zenon_H32 fc1_xboole_0). % 0.34/0.53 exact (zenon_H1e zenon_H27). % 0.34/0.53 generalize (d8_lattice3 zenon_TA_u). zenon_intro zenon_H34. % 0.34/0.53 apply (zenon_imply_s _ _ zenon_H34); [ zenon_intro zenon_H21 | zenon_intro zenon_H35 ]. % 0.34/0.53 exact (zenon_H21 zenon_H17). % 0.34/0.53 generalize (zenon_H35 (empty_set)). zenon_intro zenon_H36. % 0.34/0.53 generalize (zenon_H36 zenon_TB_z). zenon_intro zenon_H37. % 0.34/0.53 apply (zenon_imply_s _ _ zenon_H37); [ zenon_intro zenon_H25 | zenon_intro zenon_H38 ]. % 0.34/0.53 exact (zenon_H25 zenon_H1c). % 0.34/0.53 apply (zenon_equiv_s _ _ zenon_H38); [ zenon_intro zenon_H1d; zenon_intro zenon_H3b | zenon_intro zenon_H3a; zenon_intro zenon_H39 ]. % 0.34/0.53 apply (zenon_notallex_s (fun D : zenon_U => ((element D (the_carrier zenon_TA_u))->((in D (empty_set))->(related zenon_TA_u zenon_TB_z D)))) zenon_H3b); [ zenon_intro zenon_H3c; idtac ]. % 0.34/0.53 elim zenon_H3c. zenon_intro zenon_TD_cj. zenon_intro zenon_H3e. % 0.34/0.53 apply (zenon_notimply_s _ _ zenon_H3e). zenon_intro zenon_H40. zenon_intro zenon_H3f. % 0.34/0.53 apply (zenon_notimply_s _ _ zenon_H3f). zenon_intro zenon_H42. zenon_intro zenon_H41. % 0.34/0.53 generalize (t7_boole zenon_TD_cj). zenon_intro zenon_H43. % 0.34/0.53 generalize (zenon_H43 (empty_set)). zenon_intro zenon_H44. % 0.34/0.53 apply (zenon_notand_s _ _ zenon_H44); [ zenon_intro zenon_H45 | zenon_intro zenon_H32 ]. % 0.34/0.53 exact (zenon_H45 zenon_H42). % 0.34/0.53 exact (zenon_H32 fc1_xboole_0). % 0.34/0.53 exact (zenon_H1d zenon_H3a). % 0.34/0.53 Qed. % 0.34/0.53 % SZS output end Proof % 0.34/0.53 (* END-PROOF *) % 0.34/0.53 nodes searched: 905 % 0.34/0.53 max branch formulas: 480 % 0.34/0.53 proof nodes created: 139 % 0.34/0.53 formulas created: 3039 % 0.34/0.53 %------------------------------------------------------------------------------