%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : MGT113+1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n002.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:24:29 AM UTC 2026 % Result : Theorem 0.63s 0.91s % Output : Proof 0.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT113+1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.03 % Command : run_zenon %s %d % 0.09/0.36 % Computer : n002.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Mon Sep 7 14:09:52 UTC 2026 % 0.09/0.36 % CPUTime : % 0.63/0.91 (* PROOF-FOUND *) % 0.63/0.91 % SZS status Theorem % 0.63/0.91 (* BEGIN-PROOF *) % 0.63/0.91 % SZS output start Proof % 0.63/0.91 Theorem conjecture : (exists RhoR : zenon_U, (exists Pw : zenon_U, (exists S : zenon_U, ((founds_rem (e1) RhoR (f1))/\((power Pw)/\((bearer Pw (philharmonie))/\((cnt Pw (decl (distrib)) (concert_ds))/\((part_of Pw RhoR)/\((about_event Pw (e1))/\((subjection S)/\((bearer S (marketplace))/\((cnt S (decl (distrib)) (concert_ds))/\((part_of S RhoR)/\(about_event S (e1))))))))))))))). % 0.63/0.91 Proof. % 0.63/0.91 assert (zenon_L1_ : forall (zenon_TPw_bj : zenon_U) (zenon_TS_bk : zenon_U) (zenon_TRhoR_bl : zenon_U), (~(exists Pw : zenon_U, (exists S : zenon_U, ((founds_rem (e1) zenon_TRhoR_bl (f1))/\((power Pw)/\((bearer Pw (philharmonie))/\((cnt Pw (decl (distrib)) (concert_ds))/\((part_of Pw zenon_TRhoR_bl)/\((about_event Pw (e1))/\((subjection S)/\((bearer S (marketplace))/\((cnt S (decl (distrib)) (concert_ds))/\((part_of S zenon_TRhoR_bl)/\(about_event S (e1))))))))))))))) -> (about_event zenon_TS_bk (e1)) -> (part_of zenon_TS_bk zenon_TRhoR_bl) -> (cnt zenon_TS_bk (decl (distrib)) (concert_ds)) -> (bearer zenon_TS_bk (marketplace)) -> (subjection zenon_TS_bk) -> (about_event zenon_TPw_bj (e1)) -> (part_of zenon_TPw_bj zenon_TRhoR_bl) -> (cnt zenon_TPw_bj (decl (distrib)) (concert_ds)) -> (bearer zenon_TPw_bj (philharmonie)) -> (power zenon_TPw_bj) -> (founds_rem (e1) zenon_TRhoR_bl (f1)) -> False). % 0.63/0.91 do 3 intro. intros zenon_H17 zenon_H18 zenon_H19 zenon_H1a zenon_H1b zenon_H1c zenon_H1d zenon_H1e zenon_H1f zenon_H20 zenon_H21 zenon_H22. % 0.63/0.91 apply zenon_H17. exists zenon_TPw_bj. apply NNPP. zenon_intro zenon_H26. % 0.63/0.91 apply zenon_H26. exists zenon_TS_bk. apply NNPP. zenon_intro zenon_H27. % 0.63/0.91 apply (zenon_notand_s _ _ zenon_H27); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ]. % 0.63/0.91 exact (zenon_H29 zenon_H22). % 0.63/0.91 apply (zenon_notand_s _ _ zenon_H28); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ]. % 0.63/0.91 exact (zenon_H2b zenon_H21). % 0.63/0.91 apply (zenon_notand_s _ _ zenon_H2a); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ]. % 0.63/0.91 exact (zenon_H2d zenon_H20). % 0.63/0.91 apply (zenon_notand_s _ _ zenon_H2c); [ zenon_intro zenon_H2f | zenon_intro zenon_H2e ]. % 0.63/0.91 exact (zenon_H2f zenon_H1f). % 0.63/0.91 apply (zenon_notand_s _ _ zenon_H2e); [ zenon_intro zenon_H31 | zenon_intro zenon_H30 ]. % 0.63/0.91 exact (zenon_H31 zenon_H1e). % 0.63/0.91 apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H33 | zenon_intro zenon_H32 ]. % 0.63/0.91 exact (zenon_H33 zenon_H1d). % 0.63/0.91 apply (zenon_notand_s _ _ zenon_H32); [ zenon_intro zenon_H35 | zenon_intro zenon_H34 ]. % 0.63/0.91 exact (zenon_H35 zenon_H1c). % 0.63/0.91 apply (zenon_notand_s _ _ zenon_H34); [ zenon_intro zenon_H37 | zenon_intro zenon_H36 ]. % 0.63/0.91 exact (zenon_H37 zenon_H1b). % 0.63/0.91 apply (zenon_notand_s _ _ zenon_H36); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ]. % 0.63/0.91 exact (zenon_H39 zenon_H1a). % 0.63/0.91 apply (zenon_notand_s _ _ zenon_H38); [ zenon_intro zenon_H3b | zenon_intro zenon_H3a ]. % 0.63/0.91 exact (zenon_H3b zenon_H19). % 0.63/0.91 exact (zenon_H3a zenon_H18). % 0.63/0.91 (* end of lemma zenon_L1_ *) % 0.63/0.91 assert (zenon_L2_ : forall (zenon_TPw_bj : zenon_U) (zenon_TRhoR_bl : zenon_U) (zenon_TS_bk : zenon_U), (forall E : zenon_U, (forall R : zenon_U, (((subjection zenon_TS_bk)/\((cnt zenon_TS_bk (decl (distrib)) (concert_ds))/\((part_of zenon_TS_bk zenon_TRhoR_bl)/\(founds_rem E zenon_TRhoR_bl R))))->(about_event zenon_TS_bk E)))) -> (subjection zenon_TS_bk) -> (cnt zenon_TS_bk (decl (distrib)) (concert_ds)) -> (part_of zenon_TS_bk zenon_TRhoR_bl) -> (founds_rem (e1) zenon_TRhoR_bl (f1)) -> (bearer zenon_TS_bk (marketplace)) -> (about_event zenon_TPw_bj (e1)) -> (part_of zenon_TPw_bj zenon_TRhoR_bl) -> (cnt zenon_TPw_bj (decl (distrib)) (concert_ds)) -> (bearer zenon_TPw_bj (philharmonie)) -> (power zenon_TPw_bj) -> (~(exists RhoR : zenon_U, (exists Pw : zenon_U, (exists S : zenon_U, ((founds_rem (e1) RhoR (f1))/\((power Pw)/\((bearer Pw (philharmonie))/\((cnt Pw (decl (distrib)) (concert_ds))/\((part_of Pw RhoR)/\((about_event Pw (e1))/\((subjection S)/\((bearer S (marketplace))/\((cnt S (decl (distrib)) (concert_ds))/\((part_of S RhoR)/\(about_event S (e1)))))))))))))))) -> False). % 0.63/0.91 do 3 intro. intros zenon_H3c zenon_H1c zenon_H1a zenon_H19 zenon_H22 zenon_H1b zenon_H1d zenon_H1e zenon_H1f zenon_H20 zenon_H21 zenon_G. % 0.63/0.91 generalize (zenon_H3c (e1)). zenon_intro zenon_H3d. % 0.63/0.91 apply zenon_G. exists zenon_TRhoR_bl. apply NNPP. zenon_intro zenon_H17. % 0.63/0.91 generalize (zenon_H3d (f1)). zenon_intro zenon_H3e. % 0.63/0.91 apply (zenon_imply_s _ _ zenon_H3e); [ zenon_intro zenon_H3f | zenon_intro zenon_H18 ]. % 0.63/0.91 apply (zenon_notand_s _ _ zenon_H3f); [ zenon_intro zenon_H35 | zenon_intro zenon_H40 ]. % 0.63/0.91 exact (zenon_H35 zenon_H1c). % 0.63/0.91 apply (zenon_notand_s _ _ zenon_H40); [ zenon_intro zenon_H39 | zenon_intro zenon_H41 ]. % 0.63/0.91 exact (zenon_H39 zenon_H1a). % 0.63/0.91 apply (zenon_notand_s _ _ zenon_H41); [ zenon_intro zenon_H3b | zenon_intro zenon_H29 ]. % 0.63/0.91 exact (zenon_H3b zenon_H19). % 0.63/0.91 exact (zenon_H29 zenon_H22). % 0.63/0.91 apply (zenon_L1_ zenon_TPw_bj zenon_TS_bk zenon_TRhoR_bl); trivial. % 0.63/0.91 (* end of lemma zenon_L2_ *) % 0.63/0.91 apply NNPP. intro zenon_G. % 0.63/0.91 generalize (ax_proh_relator_remedy (f1)). zenon_intro zenon_H42. % 0.63/0.91 generalize (zenon_H42 (marketplace)). zenon_intro zenon_H43. % 0.63/0.91 generalize (zenon_H43 (philharmonie)). zenon_intro zenon_H44. % 0.63/0.91 generalize (zenon_H44 (distrib)). zenon_intro zenon_H45. % 0.63/0.91 generalize (zenon_H45 (concert_ds)). zenon_intro zenon_H46. % 0.63/0.91 generalize (zenon_H46 (e1)). zenon_intro zenon_H47. % 0.63/0.91 apply (zenon_imply_s _ _ zenon_H47); [ zenon_intro zenon_H49 | zenon_intro zenon_H48 ]. % 0.63/0.91 apply (zenon_notand_s _ _ zenon_H49); [ zenon_intro zenon_H4b | zenon_intro zenon_H4a ]. % 0.63/0.91 exact (zenon_H4b proh_f1). % 0.63/0.91 apply (zenon_notand_s _ _ zenon_H4a); [ zenon_intro zenon_H4d | zenon_intro zenon_H4c ]. % 0.63/0.91 exact (zenon_H4d rem_f1). % 0.63/0.91 apply (zenon_notand_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 0.63/0.91 exact (zenon_H4f aee_f1). % 0.63/0.91 apply (zenon_notand_s _ _ zenon_H4e); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ]. % 0.63/0.91 exact (zenon_H51 aer_f1). % 0.63/0.91 apply (zenon_notand_s _ _ zenon_H50); [ zenon_intro zenon_H53 | zenon_intro zenon_H52 ]. % 0.63/0.91 exact (zenon_H53 act_f1). % 0.63/0.91 apply (zenon_notand_s _ _ zenon_H52); [ zenon_intro zenon_H55 | zenon_intro zenon_H54 ]. % 0.63/0.91 exact (zenon_H55 tgt_f1). % 0.63/0.91 exact (zenon_H54 act_e1_f1). % 0.63/0.91 elim zenon_H48. zenon_intro zenon_TRhoR_bl. zenon_intro zenon_H56. % 0.63/0.91 elim zenon_H56. zenon_intro zenon_TPw_bj. zenon_intro zenon_H57. % 0.63/0.91 elim zenon_H57. zenon_intro zenon_TS_bk. zenon_intro zenon_H58. % 0.63/0.91 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H22. zenon_intro zenon_H59. % 0.63/0.91 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H21. zenon_intro zenon_H5a. % 0.63/0.91 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H20. zenon_intro zenon_H5b. % 0.63/0.91 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H1f. zenon_intro zenon_H5c. % 0.63/0.91 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H1e. zenon_intro zenon_H5d. % 0.63/0.91 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H1c. zenon_intro zenon_H5e. % 0.63/0.91 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H1b. zenon_intro zenon_H5f. % 0.63/0.91 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H1a. zenon_intro zenon_H19. % 0.63/0.91 generalize (ax_B2 zenon_TPw_bj). zenon_intro zenon_H60. % 0.63/0.91 generalize (ax_B3 zenon_TS_bk). zenon_intro zenon_H61. % 0.63/0.91 generalize (zenon_H60 (distrib)). zenon_intro zenon_H62. % 0.63/0.91 generalize (zenon_H61 (distrib)). zenon_intro zenon_H63. % 0.63/0.91 generalize (zenon_H62 (concert_ds)). zenon_intro zenon_H64. % 0.63/0.91 generalize (zenon_H63 (concert_ds)). zenon_intro zenon_H65. % 0.63/0.91 generalize (zenon_H64 zenon_TRhoR_bl). zenon_intro zenon_H66. % 0.63/0.91 generalize (zenon_H65 zenon_TRhoR_bl). zenon_intro zenon_H3c. % 0.63/0.91 generalize (zenon_H66 (e1)). zenon_intro zenon_H67. % 0.63/0.91 generalize (zenon_H67 (f1)). zenon_intro zenon_H68. % 0.63/0.91 apply (zenon_imply_s _ _ zenon_H68); [ zenon_intro zenon_H69 | zenon_intro zenon_H1d ]. % 0.63/0.91 apply (zenon_notand_s _ _ zenon_H69); [ zenon_intro zenon_H2b | zenon_intro zenon_H6a ]. % 0.63/0.91 exact (zenon_H2b zenon_H21). % 0.63/0.91 apply (zenon_notand_s _ _ zenon_H6a); [ zenon_intro zenon_H2f | zenon_intro zenon_H6b ]. % 0.63/0.91 exact (zenon_H2f zenon_H1f). % 0.63/0.91 apply (zenon_notand_s _ _ zenon_H6b); [ zenon_intro zenon_H31 | zenon_intro zenon_H29 ]. % 0.63/0.91 exact (zenon_H31 zenon_H1e). % 0.63/0.91 exact (zenon_H29 zenon_H22). % 0.63/0.91 apply (zenon_L2_ zenon_TPw_bj zenon_TRhoR_bl zenon_TS_bk); trivial. % 0.63/0.91 Qed. % 0.63/0.91 % SZS output end Proof % 0.63/0.91 (* END-PROOF *) % 0.63/0.91 nodes searched: 5208 % 0.63/0.91 max branch formulas: 3643 % 0.63/0.91 proof nodes created: 1159 % 0.63/0.91 formulas created: 55932 % 0.63/0.91 %------------------------------------------------------------------------------