%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SET642+3 : TPTP v8.1.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n029.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 06:37:41 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 : SET642+3 : TPTP v8.1.0. Released v2.2.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n029.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 : Sun Jul 10 09:19:16 EDT 2022 % 0.12/0.33 % CPUTime : % 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 prove_relset_1_4 : (forall B : zenon_U, ((ilf_type B (set_type))->(forall C : zenon_U, ((ilf_type C (set_type))->(forall D : zenon_U, ((ilf_type D (set_type))->(forall E : zenon_U, ((ilf_type E (relation_type C D))->((subset B E)->(ilf_type B (relation_type C D))))))))))). % 0.18/0.49 Proof. % 0.18/0.49 apply NNPP. intro zenon_G. % 0.18/0.49 apply (zenon_notallex_s (fun B : zenon_U => ((ilf_type B (set_type))->(forall C : zenon_U, ((ilf_type C (set_type))->(forall D : zenon_U, ((ilf_type D (set_type))->(forall E : zenon_U, ((ilf_type E (relation_type C D))->((subset B E)->(ilf_type B (relation_type C D))))))))))) zenon_G); [ zenon_intro zenon_H14; idtac ]. % 0.18/0.49 elim zenon_H14. zenon_intro zenon_TB_v. zenon_intro zenon_H16. % 0.18/0.49 apply (zenon_notimply_s _ _ zenon_H16). zenon_intro zenon_H18. zenon_intro zenon_H17. % 0.18/0.49 apply (zenon_notallex_s (fun C : zenon_U => ((ilf_type C (set_type))->(forall D : zenon_U, ((ilf_type D (set_type))->(forall E : zenon_U, ((ilf_type E (relation_type C D))->((subset zenon_TB_v E)->(ilf_type zenon_TB_v (relation_type C D))))))))) zenon_H17); [ zenon_intro zenon_H19; idtac ]. % 0.18/0.49 elim zenon_H19. zenon_intro zenon_TC_ba. zenon_intro zenon_H1b. % 0.18/0.49 apply (zenon_notimply_s _ _ zenon_H1b). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.18/0.49 apply (zenon_notallex_s (fun D : zenon_U => ((ilf_type D (set_type))->(forall E : zenon_U, ((ilf_type E (relation_type zenon_TC_ba D))->((subset zenon_TB_v E)->(ilf_type zenon_TB_v (relation_type zenon_TC_ba D))))))) zenon_H1c); [ zenon_intro zenon_H1e; idtac ]. % 0.18/0.49 elim zenon_H1e. zenon_intro zenon_TD_bf. zenon_intro zenon_H20. % 0.18/0.49 apply (zenon_notimply_s _ _ zenon_H20). zenon_intro zenon_H22. zenon_intro zenon_H21. % 0.18/0.49 apply (zenon_notallex_s (fun E : zenon_U => ((ilf_type E (relation_type zenon_TC_ba zenon_TD_bf))->((subset zenon_TB_v E)->(ilf_type zenon_TB_v (relation_type zenon_TC_ba zenon_TD_bf))))) zenon_H21); [ zenon_intro zenon_H23; idtac ]. % 0.18/0.49 elim zenon_H23. zenon_intro zenon_TE_bk. zenon_intro zenon_H25. % 0.18/0.49 apply (zenon_notimply_s _ _ zenon_H25). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.18/0.49 apply (zenon_notimply_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.18/0.49 generalize (p2 zenon_TB_v). zenon_intro zenon_H2a. % 0.18/0.49 apply (zenon_imply_s _ _ zenon_H2a); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ]. % 0.18/0.49 exact (zenon_H2c zenon_H18). % 0.18/0.49 generalize (zenon_H2b zenon_TC_ba). zenon_intro zenon_H2d. % 0.18/0.49 apply (zenon_imply_s _ _ zenon_H2d); [ zenon_intro zenon_H2f | zenon_intro zenon_H2e ]. % 0.18/0.49 exact (zenon_H2f zenon_H1d). % 0.18/0.49 generalize (zenon_H2e zenon_TD_bf). zenon_intro zenon_H30. % 0.18/0.49 apply (zenon_imply_s _ _ zenon_H30); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ]. % 0.18/0.49 exact (zenon_H32 zenon_H22). % 0.18/0.49 apply (zenon_imply_s _ _ zenon_H31); [ zenon_intro zenon_H34 | zenon_intro zenon_H33 ]. % 0.18/0.49 generalize (p1 zenon_TB_v). zenon_intro zenon_H35. % 0.18/0.49 apply (zenon_imply_s _ _ zenon_H35); [ zenon_intro zenon_H2c | zenon_intro zenon_H36 ]. % 0.18/0.49 exact (zenon_H2c zenon_H18). % 0.18/0.49 generalize (zenon_H36 zenon_TC_ba). zenon_intro zenon_H37. % 0.18/0.49 apply (zenon_imply_s _ _ zenon_H37); [ zenon_intro zenon_H2f | zenon_intro zenon_H38 ]. % 0.18/0.49 exact (zenon_H2f zenon_H1d). % 0.18/0.49 generalize (zenon_H38 zenon_TD_bf). zenon_intro zenon_H39. % 0.18/0.49 apply (zenon_imply_s _ _ zenon_H39); [ zenon_intro zenon_H32 | zenon_intro zenon_H3a ]. % 0.18/0.49 exact (zenon_H32 zenon_H22). % 0.18/0.49 generalize (zenon_H3a zenon_TE_bk). zenon_intro zenon_H3b. % 0.18/0.49 apply (zenon_imply_s _ _ zenon_H3b); [ zenon_intro zenon_H3d | zenon_intro zenon_H3c ]. % 0.18/0.49 exact (zenon_H3d zenon_H27). % 0.18/0.49 apply (zenon_imply_s _ _ zenon_H3c); [ zenon_intro zenon_H3f | zenon_intro zenon_H3e ]. % 0.18/0.49 exact (zenon_H3f zenon_H29). % 0.18/0.49 exact (zenon_H34 zenon_H3e). % 0.18/0.49 exact (zenon_H28 zenon_H33). % 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: 302 % 0.18/0.49 max branch formulas: 305 % 0.18/0.49 proof nodes created: 45 % 0.18/0.49 formulas created: 2115 % 0.18/0.49 %------------------------------------------------------------------------------