%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SEU303+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n013.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 16:01:03 EDT 2022 % Result : Theorem 0.18s 0.47s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : SEU303+1 : TPTP v8.1.0. Released v3.3.0. % 0.06/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n013.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 : Sat Jun 18 19:19:59 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.47 (* PROOF-FOUND *) % 0.18/0.47 % SZS status Theorem % 0.18/0.47 (* BEGIN-PROOF *) % 0.18/0.47 % SZS output start Proof % 0.18/0.47 Theorem t26_finset_1 : (forall A : zenon_U, (((relation A)/\(function A))->((finite (relation_dom A))->(finite (relation_rng A))))). % 0.18/0.47 Proof. % 0.18/0.47 apply NNPP. intro zenon_G. % 0.18/0.47 apply (zenon_notallex_s (fun A : zenon_U => (((relation A)/\(function A))->((finite (relation_dom A))->(finite (relation_rng A))))) zenon_G); [ zenon_intro zenon_H6; idtac ]. % 0.18/0.47 elim zenon_H6. zenon_intro zenon_TA_h. zenon_intro zenon_H8. % 0.18/0.47 apply (zenon_notimply_s _ _ zenon_H8). zenon_intro zenon_Ha. zenon_intro zenon_H9. % 0.18/0.47 apply (zenon_notimply_s _ _ zenon_H9). zenon_intro zenon_Hc. zenon_intro zenon_Hb. % 0.18/0.47 apply (zenon_and_s _ _ zenon_Ha). zenon_intro zenon_He. zenon_intro zenon_Hd. % 0.18/0.47 generalize (t146_relat_1 zenon_TA_h). zenon_intro zenon_Hf. % 0.18/0.47 apply (zenon_imply_s _ _ zenon_Hf); [ zenon_intro zenon_H11 | zenon_intro zenon_H10 ]. % 0.18/0.47 exact (zenon_H11 zenon_He). % 0.18/0.47 generalize (t17_finset_1 (relation_dom zenon_TA_h)). zenon_intro zenon_H12. % 0.18/0.47 generalize (zenon_H12 zenon_TA_h). zenon_intro zenon_H13. % 0.18/0.47 apply (zenon_imply_s _ _ zenon_H13); [ zenon_intro zenon_H15 | zenon_intro zenon_H14 ]. % 0.18/0.47 apply (zenon_notand_s _ _ zenon_H15); [ zenon_intro zenon_H11 | zenon_intro zenon_H16 ]. % 0.18/0.47 exact (zenon_H11 zenon_He). % 0.18/0.47 exact (zenon_H16 zenon_Hd). % 0.18/0.47 apply (zenon_imply_s _ _ zenon_H14); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ]. % 0.18/0.47 exact (zenon_H18 zenon_Hc). % 0.18/0.47 cut ((finite (relation_image zenon_TA_h (relation_dom zenon_TA_h))) = (finite (relation_rng zenon_TA_h))). % 0.18/0.47 intro zenon_D_pnotp. % 0.18/0.47 apply zenon_Hb. % 0.18/0.47 rewrite <- zenon_D_pnotp. % 0.18/0.47 exact zenon_H17. % 0.18/0.47 cut (((relation_image zenon_TA_h (relation_dom zenon_TA_h)) = (relation_rng zenon_TA_h))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 0.18/0.47 congruence. % 0.18/0.47 exact (zenon_H19 zenon_H10). % 0.18/0.47 Qed. % 0.18/0.47 % SZS output end Proof % 0.18/0.47 (* END-PROOF *) % 0.18/0.47 nodes searched: 120 % 0.18/0.47 max branch formulas: 57 % 0.18/0.47 proof nodes created: 24 % 0.18/0.47 formulas created: 425 % 0.18/0.47 %------------------------------------------------------------------------------