%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SEU062+1 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n026.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 15:59:13 EDT 2022 % Result : Theorem 0.18s 0.49s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : SEU062+1 : TPTP v8.1.0. Released v3.2.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n026.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 : Mon Jun 20 01:42:26 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.49 Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski % 0.18/0.49 (* PROOF-FOUND *) % 0.18/0.49 % SZS status Theorem % 0.18/0.49 (* BEGIN-PROOF *) % 0.18/0.49 % SZS output start Proof % 0.18/0.49 Theorem t143_funct_1 : (forall A : zenon_U, (forall B : zenon_U, ((relation B)->((forall C : zenon_U, (~((in C A)/\((relation_inverse_image B (singleton C)) = (empty_set)))))->(subset A (relation_rng B)))))). % 0.18/0.49 Proof. % 0.18/0.49 apply NNPP. intro zenon_G. % 0.18/0.49 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, ((relation B)->((forall C : zenon_U, (~((in C A)/\((relation_inverse_image B (singleton C)) = (empty_set)))))->(subset A (relation_rng B)))))) zenon_G); [ zenon_intro zenon_H22; idtac ]. % 0.18/0.49 elim zenon_H22. zenon_intro zenon_TA_bj. zenon_intro zenon_H24. % 0.18/0.49 apply (zenon_notallex_s (fun B : zenon_U => ((relation B)->((forall C : zenon_U, (~((in C zenon_TA_bj)/\((relation_inverse_image B (singleton C)) = (empty_set)))))->(subset zenon_TA_bj (relation_rng B))))) zenon_H24); [ zenon_intro zenon_H25; idtac ]. % 0.18/0.49 elim zenon_H25. zenon_intro zenon_TB_bm. zenon_intro zenon_H27. % 0.18/0.49 apply (zenon_notimply_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.18/0.49 apply (zenon_notimply_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.18/0.49 generalize (d3_tarski zenon_TA_bj). zenon_intro zenon_H2c. % 0.18/0.49 generalize (zenon_H2c (relation_rng zenon_TB_bm)). zenon_intro zenon_H2d. % 0.18/0.49 apply (zenon_equiv_s _ _ zenon_H2d); [ zenon_intro zenon_H2a; zenon_intro zenon_H30 | zenon_intro zenon_H2f; zenon_intro zenon_H2e ]. % 0.18/0.49 apply (zenon_notallex_s (fun C : zenon_U => ((in C zenon_TA_bj)->(in C (relation_rng zenon_TB_bm)))) zenon_H30); [ zenon_intro zenon_H31; idtac ]. % 0.18/0.49 elim zenon_H31. zenon_intro zenon_TC_by. zenon_intro zenon_H33. % 0.18/0.49 apply (zenon_notimply_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H34. % 0.18/0.49 generalize (t142_funct_1 zenon_TC_by). zenon_intro zenon_H36. % 0.18/0.49 generalize (zenon_H36 zenon_TB_bm). zenon_intro zenon_H37. % 0.18/0.49 apply (zenon_imply_s _ _ zenon_H37); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ]. % 0.18/0.49 exact (zenon_H39 zenon_H29). % 0.18/0.49 apply (zenon_equiv_s _ _ zenon_H38); [ zenon_intro zenon_H34; zenon_intro zenon_H3c | zenon_intro zenon_H3b; zenon_intro zenon_H3a ]. % 0.18/0.49 apply zenon_H3c. zenon_intro zenon_H3d. % 0.18/0.49 generalize (zenon_H2b zenon_TC_by). zenon_intro zenon_H3e. % 0.18/0.49 apply (zenon_notand_s _ _ zenon_H3e); [ zenon_intro zenon_H3f | zenon_intro zenon_H3a ]. % 0.18/0.49 exact (zenon_H3f zenon_H35). % 0.18/0.49 exact (zenon_H3a zenon_H3d). % 0.18/0.49 exact (zenon_H34 zenon_H3b). % 0.18/0.49 exact (zenon_H2a zenon_H2f). % 0.18/0.49 Qed. % 0.18/0.49 % SZS output end Proof % 0.18/0.49 (* END-PROOF *) % 0.18/0.49 nodes searched: 307 % 0.18/0.49 max branch formulas: 309 % 0.18/0.49 proof nodes created: 29 % 0.18/0.49 formulas created: 2113 % 0.18/0.49 %------------------------------------------------------------------------------