%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : MGT057+1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n009.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 06:24:24 AM UTC 2026 % Result : Theorem 1.04s 1.32s % Output : Proof 1.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT057+1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.04 % Command : run_zenon %s %d % 0.08/0.35 % Computer : n009.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Mon Sep 7 13:30:07 UTC 2026 % 0.12/0.35 % CPUTime : % 1.04/1.32 (* PROOF-FOUND *) % 1.04/1.32 % SZS status Theorem % 1.04/1.32 (* BEGIN-PROOF *) % 1.04/1.32 % SZS output start Proof % 1.04/1.32 Theorem theorem_6 : (forall X : zenon_U, (forall T0 : zenon_U, (forall T1 : zenon_U, (forall T2 : zenon_U, (((organization X)/\((has_endowment X)/\(((age X T0) = (zero))/\((smaller_or_equal (age X T1) (eta))/\((greater (age X T2) (eta))/\(greater (eta) (zero)))))))->((greater (hazard_of_mortality X T2) (hazard_of_mortality X T1))/\((hazard_of_mortality X T1) = (hazard_of_mortality X T0)))))))). % 1.04/1.32 Proof. % 1.04/1.32 assert (zenon_L1_ : forall (zenon_TT1_m : zenon_U) (zenon_TX_n : zenon_U), (greater (eta) (age zenon_TX_n zenon_TT1_m)) -> (~(smaller_or_equal (age zenon_TX_n zenon_TT1_m) (eta))) -> False). % 1.04/1.32 do 2 intro. intros zenon_Ha zenon_Hb. % 1.04/1.32 generalize (definition_smaller_or_equal (age zenon_TX_n zenon_TT1_m)). zenon_intro zenon_He. % 1.04/1.32 generalize (zenon_He (eta)). zenon_intro zenon_Hf. % 1.04/1.32 apply (zenon_equiv_s _ _ zenon_Hf); [ zenon_intro zenon_Hb; zenon_intro zenon_H12 | zenon_intro zenon_H11; zenon_intro zenon_H10 ]. % 1.04/1.32 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H14. zenon_intro zenon_H13. % 1.04/1.32 generalize (definition_smaller (age zenon_TX_n zenon_TT1_m)). zenon_intro zenon_H15. % 1.04/1.32 generalize (zenon_H15 (eta)). zenon_intro zenon_H16. % 1.04/1.32 apply (zenon_equiv_s _ _ zenon_H16); [ zenon_intro zenon_H14; zenon_intro zenon_H18 | zenon_intro zenon_H17; zenon_intro zenon_Ha ]. % 1.04/1.32 exact (zenon_H18 zenon_Ha). % 1.04/1.32 exact (zenon_H14 zenon_H17). % 1.04/1.32 exact (zenon_Hb zenon_H11). % 1.04/1.32 (* end of lemma zenon_L1_ *) % 1.04/1.32 assert (zenon_L2_ : forall (zenon_TT2_bc : zenon_U) (zenon_TX_n : zenon_U), ((greater (age zenon_TX_n zenon_TT2_bc) (eta))->(~(has_immunity zenon_TX_n zenon_TT2_bc))) -> (has_immunity zenon_TX_n zenon_TT2_bc) -> (greater (age zenon_TX_n zenon_TT2_bc) (eta)) -> False). % 1.04/1.32 do 2 intro. intros zenon_H19 zenon_H1a zenon_H1b. % 1.04/1.32 apply (zenon_imply_s _ _ zenon_H19); [ zenon_intro zenon_H1e | zenon_intro zenon_H1d ]. % 1.04/1.32 exact (zenon_H1e zenon_H1b). % 1.04/1.32 exact (zenon_H1d zenon_H1a). % 1.04/1.32 (* end of lemma zenon_L2_ *) % 1.04/1.32 assert (zenon_L3_ : forall (zenon_TT2_bc : zenon_U) (zenon_TT1_m : zenon_U) (zenon_TX_n : zenon_U), (organization zenon_TX_n) -> (has_immunity zenon_TX_n zenon_TT1_m) -> (forall T : zenon_U, ((organization zenon_TX_n)/\(((smaller_or_equal (age zenon_TX_n T) (eta))->(has_immunity zenon_TX_n T))/\((greater (age zenon_TX_n T) (eta))->(~(has_immunity zenon_TX_n T)))))) -> (greater (age zenon_TX_n zenon_TT2_bc) (eta)) -> (~(greater (hazard_of_mortality zenon_TX_n zenon_TT2_bc) (hazard_of_mortality zenon_TX_n zenon_TT1_m))) -> False). % 1.04/1.32 do 3 intro. intros zenon_H1f zenon_H20 zenon_H21 zenon_H1b zenon_H22. % 1.04/1.32 generalize (assumption_3 zenon_TX_n). zenon_intro zenon_H23. % 1.04/1.32 generalize (zenon_H23 zenon_TT1_m). zenon_intro zenon_H24. % 1.04/1.32 generalize (zenon_H24 zenon_TT2_bc). zenon_intro zenon_H25. % 1.04/1.32 apply (zenon_imply_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ]. % 1.04/1.32 apply (zenon_notand_s _ _ zenon_H27); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ]. % 1.04/1.32 exact (zenon_H29 zenon_H1f). % 1.04/1.32 apply (zenon_notand_s _ _ zenon_H28); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ]. % 1.04/1.32 exact (zenon_H2b zenon_H20). % 1.04/1.32 apply zenon_H2a. zenon_intro zenon_H1a. % 1.04/1.32 generalize (zenon_H21 zenon_TT2_bc). zenon_intro zenon_H2c. % 1.04/1.32 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H2d. % 1.04/1.32 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2e. zenon_intro zenon_H19. % 1.04/1.32 apply (zenon_L2_ zenon_TT2_bc zenon_TX_n); trivial. % 1.04/1.32 exact (zenon_H22 zenon_H26). % 1.04/1.32 (* end of lemma zenon_L3_ *) % 1.04/1.32 assert (zenon_L4_ : (~((eta) = (eta))) -> False). % 1.04/1.32 do 0 intro. intros zenon_H2f. % 1.04/1.32 apply zenon_H2f. apply refl_equal. % 1.04/1.32 (* end of lemma zenon_L4_ *) % 1.04/1.32 assert (zenon_L5_ : forall (zenon_TT0_bz : zenon_U) (zenon_TX_n : zenon_U), ((age zenon_TX_n zenon_TT0_bz) = (zero)) -> (greater (eta) (zero)) -> (~(smaller_or_equal (age zenon_TX_n zenon_TT0_bz) (eta))) -> False). % 1.04/1.32 do 2 intro. intros zenon_H30 zenon_H31 zenon_H32. % 1.04/1.32 generalize (definition_smaller_or_equal (age zenon_TX_n zenon_TT0_bz)). zenon_intro zenon_H34. % 1.04/1.32 generalize (zenon_H34 (eta)). zenon_intro zenon_H35. % 1.04/1.32 apply (zenon_equiv_s _ _ zenon_H35); [ zenon_intro zenon_H32; zenon_intro zenon_H38 | zenon_intro zenon_H37; zenon_intro zenon_H36 ]. % 1.04/1.32 apply (zenon_notor_s _ _ zenon_H38). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 1.04/1.32 generalize (definition_smaller (age zenon_TX_n zenon_TT0_bz)). zenon_intro zenon_H3b. % 1.04/1.32 generalize (zenon_H3b (eta)). zenon_intro zenon_H3c. % 1.04/1.32 apply (zenon_equiv_s _ _ zenon_H3c); [ zenon_intro zenon_H3a; zenon_intro zenon_H3f | zenon_intro zenon_H3e; zenon_intro zenon_H3d ]. % 1.04/1.32 elim (classic ((zero) = (age zenon_TX_n zenon_TT0_bz))); [ zenon_intro zenon_H40 | zenon_intro zenon_H41 ]. % 1.04/1.32 cut ((greater (eta) (zero)) = (greater (eta) (age zenon_TX_n zenon_TT0_bz))). % 1.04/1.32 intro zenon_D_pnotp. % 1.04/1.32 apply zenon_H3f. % 1.04/1.32 rewrite <- zenon_D_pnotp. % 1.04/1.32 exact zenon_H31. % 1.04/1.32 cut (((zero) = (age zenon_TX_n zenon_TT0_bz))); [idtac | apply NNPP; zenon_intro zenon_H41]. % 1.04/1.32 cut (((eta) = (eta))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 1.04/1.32 congruence. % 1.04/1.32 apply zenon_H2f. apply refl_equal. % 1.04/1.32 exact (zenon_H41 zenon_H40). % 1.04/1.32 apply zenon_H41. apply sym_equal. exact zenon_H30. % 1.04/1.32 exact (zenon_H3a zenon_H3e). % 1.04/1.32 exact (zenon_H32 zenon_H37). % 1.04/1.32 (* end of lemma zenon_L5_ *) % 1.04/1.32 assert (zenon_L6_ : forall (zenon_TT0_bz : zenon_U) (zenon_TT1_m : zenon_U) (zenon_TX_n : zenon_U), (forall T : zenon_U, (((organization zenon_TX_n)/\((has_immunity zenon_TX_n zenon_TT1_m)/\(has_immunity zenon_TX_n T)))->((hazard_of_mortality zenon_TX_n zenon_TT1_m) = (hazard_of_mortality zenon_TX_n T)))) -> (organization zenon_TX_n) -> (has_immunity zenon_TX_n zenon_TT1_m) -> (has_immunity zenon_TX_n zenon_TT0_bz) -> (~((hazard_of_mortality zenon_TX_n zenon_TT1_m) = (hazard_of_mortality zenon_TX_n zenon_TT0_bz))) -> False). % 1.04/1.32 do 3 intro. intros zenon_H42 zenon_H1f zenon_H20 zenon_H43 zenon_H44. % 1.04/1.32 generalize (zenon_H42 zenon_TT0_bz). zenon_intro zenon_H45. % 1.04/1.32 apply (zenon_imply_s _ _ zenon_H45); [ zenon_intro zenon_H47 | zenon_intro zenon_H46 ]. % 1.04/1.32 apply (zenon_notand_s _ _ zenon_H47); [ zenon_intro zenon_H29 | zenon_intro zenon_H48 ]. % 1.04/1.32 exact (zenon_H29 zenon_H1f). % 1.04/1.32 apply (zenon_notand_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H49 ]. % 1.04/1.32 exact (zenon_H2b zenon_H20). % 1.04/1.32 exact (zenon_H49 zenon_H43). % 1.04/1.32 exact (zenon_H44 zenon_H46). % 1.04/1.32 (* end of lemma zenon_L6_ *) % 1.04/1.32 assert (zenon_L7_ : forall (zenon_TT0_bz : zenon_U) (zenon_TT1_m : zenon_U) (zenon_TX_n : zenon_U), (organization zenon_TX_n) -> (has_immunity zenon_TX_n zenon_TT1_m) -> (has_immunity zenon_TX_n zenon_TT0_bz) -> (~((hazard_of_mortality zenon_TX_n zenon_TT1_m) = (hazard_of_mortality zenon_TX_n zenon_TT0_bz))) -> False). % 1.04/1.32 do 3 intro. intros zenon_H1f zenon_H20 zenon_H43 zenon_H44. % 1.04/1.32 generalize (assumption_2 zenon_TX_n). zenon_intro zenon_H4a. % 1.04/1.32 generalize (zenon_H4a zenon_TT1_m). zenon_intro zenon_H42. % 1.04/1.32 apply (zenon_L6_ zenon_TT0_bz zenon_TT1_m zenon_TX_n); trivial. % 1.04/1.32 (* end of lemma zenon_L7_ *) % 1.04/1.32 assert (zenon_L8_ : forall (zenon_TT1_m : zenon_U) (zenon_TX_n : zenon_U), ((age zenon_TX_n zenon_TT1_m) = (eta)) -> (~(smaller_or_equal (age zenon_TX_n zenon_TT1_m) (eta))) -> False). % 1.04/1.32 do 2 intro. intros zenon_H4b zenon_Hb. % 1.04/1.32 generalize (definition_smaller_or_equal (age zenon_TX_n zenon_TT1_m)). zenon_intro zenon_He. % 1.04/1.32 generalize (zenon_He (eta)). zenon_intro zenon_Hf. % 1.04/1.32 apply (zenon_equiv_s _ _ zenon_Hf); [ zenon_intro zenon_Hb; zenon_intro zenon_H12 | zenon_intro zenon_H11; zenon_intro zenon_H10 ]. % 1.04/1.32 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H14. zenon_intro zenon_H13. % 1.04/1.32 exact (zenon_H13 zenon_H4b). % 1.04/1.32 exact (zenon_Hb zenon_H11). % 1.04/1.32 (* end of lemma zenon_L8_ *) % 1.04/1.32 apply NNPP. intro zenon_G. % 1.04/1.32 apply (zenon_notallex_s (fun X : zenon_U => (forall T0 : zenon_U, (forall T1 : zenon_U, (forall T2 : zenon_U, (((organization X)/\((has_endowment X)/\(((age X T0) = (zero))/\((smaller_or_equal (age X T1) (eta))/\((greater (age X T2) (eta))/\(greater (eta) (zero)))))))->((greater (hazard_of_mortality X T2) (hazard_of_mortality X T1))/\((hazard_of_mortality X T1) = (hazard_of_mortality X T0)))))))) zenon_G); [ zenon_intro zenon_H4c; idtac ]. % 1.04/1.32 elim zenon_H4c. zenon_intro zenon_TX_n. zenon_intro zenon_H4d. % 1.04/1.32 apply (zenon_notallex_s (fun T0 : zenon_U => (forall T1 : zenon_U, (forall T2 : zenon_U, (((organization zenon_TX_n)/\((has_endowment zenon_TX_n)/\(((age zenon_TX_n T0) = (zero))/\((smaller_or_equal (age zenon_TX_n T1) (eta))/\((greater (age zenon_TX_n T2) (eta))/\(greater (eta) (zero)))))))->((greater (hazard_of_mortality zenon_TX_n T2) (hazard_of_mortality zenon_TX_n T1))/\((hazard_of_mortality zenon_TX_n T1) = (hazard_of_mortality zenon_TX_n T0))))))) zenon_H4d); [ zenon_intro zenon_H4e; idtac ]. % 1.04/1.32 elim zenon_H4e. zenon_intro zenon_TT0_bz. zenon_intro zenon_H4f. % 1.04/1.32 apply (zenon_notallex_s (fun T1 : zenon_U => (forall T2 : zenon_U, (((organization zenon_TX_n)/\((has_endowment zenon_TX_n)/\(((age zenon_TX_n zenon_TT0_bz) = (zero))/\((smaller_or_equal (age zenon_TX_n T1) (eta))/\((greater (age zenon_TX_n T2) (eta))/\(greater (eta) (zero)))))))->((greater (hazard_of_mortality zenon_TX_n T2) (hazard_of_mortality zenon_TX_n T1))/\((hazard_of_mortality zenon_TX_n T1) = (hazard_of_mortality zenon_TX_n zenon_TT0_bz)))))) zenon_H4f); [ zenon_intro zenon_H50; idtac ]. % 1.04/1.32 elim zenon_H50. zenon_intro zenon_TT1_m. zenon_intro zenon_H51. % 1.04/1.32 apply (zenon_notallex_s (fun T2 : zenon_U => (((organization zenon_TX_n)/\((has_endowment zenon_TX_n)/\(((age zenon_TX_n zenon_TT0_bz) = (zero))/\((smaller_or_equal (age zenon_TX_n zenon_TT1_m) (eta))/\((greater (age zenon_TX_n T2) (eta))/\(greater (eta) (zero)))))))->((greater (hazard_of_mortality zenon_TX_n T2) (hazard_of_mortality zenon_TX_n zenon_TT1_m))/\((hazard_of_mortality zenon_TX_n zenon_TT1_m) = (hazard_of_mortality zenon_TX_n zenon_TT0_bz))))) zenon_H51); [ zenon_intro zenon_H52; idtac ]. % 1.04/1.32 elim zenon_H52. zenon_intro zenon_TT2_bc. zenon_intro zenon_H53. % 1.04/1.32 apply (zenon_notimply_s _ _ zenon_H53). zenon_intro zenon_H55. zenon_intro zenon_H54. % 1.04/1.32 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H56. % 1.04/1.32 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H58. zenon_intro zenon_H57. % 1.04/1.32 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H30. zenon_intro zenon_H59. % 1.04/1.32 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H11. zenon_intro zenon_H5a. % 1.04/1.32 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H1b. zenon_intro zenon_H31. % 1.04/1.32 generalize (definition_1 zenon_TX_n). zenon_intro zenon_H5b. % 1.04/1.32 apply (zenon_equiv_s _ _ zenon_H5b); [ zenon_intro zenon_H5d; zenon_intro zenon_H5c | zenon_intro zenon_H58; zenon_intro zenon_H21 ]. % 1.04/1.32 exact (zenon_H5d zenon_H58). % 1.04/1.32 generalize (definition_smaller_or_equal (age zenon_TX_n zenon_TT1_m)). zenon_intro zenon_He. % 1.04/1.32 generalize (zenon_He (eta)). zenon_intro zenon_Hf. % 1.04/1.32 apply (zenon_equiv_s _ _ zenon_Hf); [ zenon_intro zenon_Hb; zenon_intro zenon_H12 | zenon_intro zenon_H11; zenon_intro zenon_H10 ]. % 1.04/1.32 exact (zenon_Hb zenon_H11). % 1.04/1.32 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_H17 | zenon_intro zenon_H4b ]. % 1.04/1.32 generalize (definition_smaller (age zenon_TX_n zenon_TT1_m)). zenon_intro zenon_H15. % 1.04/1.32 generalize (zenon_H15 (eta)). zenon_intro zenon_H16. % 1.04/1.32 apply (zenon_equiv_s _ _ zenon_H16); [ zenon_intro zenon_H14; zenon_intro zenon_H18 | zenon_intro zenon_H17; zenon_intro zenon_Ha ]. % 1.04/1.32 exact (zenon_H14 zenon_H17). % 1.04/1.32 apply (zenon_notand_s _ _ zenon_H54); [ zenon_intro zenon_H22 | zenon_intro zenon_H44 ]. % 1.04/1.32 generalize (zenon_H21 zenon_TT1_m). zenon_intro zenon_H5e. % 1.04/1.32 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H1f. zenon_intro zenon_H5f. % 1.04/1.32 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H61. zenon_intro zenon_H60. % 1.04/1.32 apply (zenon_imply_s _ _ zenon_H61); [ zenon_intro zenon_Hb | zenon_intro zenon_H20 ]. % 1.04/1.32 apply (zenon_L1_ zenon_TT1_m zenon_TX_n); trivial. % 1.04/1.32 apply (zenon_L3_ zenon_TT2_bc zenon_TT1_m zenon_TX_n); trivial. % 1.04/1.32 generalize (zenon_H21 zenon_TT0_bz). zenon_intro zenon_H62. % 1.04/1.32 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H1f. zenon_intro zenon_H63. % 1.04/1.32 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64. % 1.04/1.32 apply (zenon_imply_s _ _ zenon_H65); [ zenon_intro zenon_H32 | zenon_intro zenon_H43 ]. % 1.04/1.32 apply (zenon_L5_ zenon_TT0_bz zenon_TX_n); trivial. % 1.04/1.32 generalize (zenon_H21 zenon_TT1_m). zenon_intro zenon_H5e. % 1.04/1.32 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H1f. zenon_intro zenon_H5f. % 1.04/1.32 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H61. zenon_intro zenon_H60. % 1.04/1.32 apply (zenon_imply_s _ _ zenon_H61); [ zenon_intro zenon_Hb | zenon_intro zenon_H20 ]. % 1.04/1.32 apply (zenon_L1_ zenon_TT1_m zenon_TX_n); trivial. % 1.04/1.33 apply (zenon_L7_ zenon_TT0_bz zenon_TT1_m zenon_TX_n); trivial. % 1.04/1.33 apply (zenon_notand_s _ _ zenon_H54); [ zenon_intro zenon_H22 | zenon_intro zenon_H44 ]. % 1.04/1.33 generalize (zenon_H21 zenon_TT1_m). zenon_intro zenon_H5e. % 1.04/1.33 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H1f. zenon_intro zenon_H5f. % 1.04/1.33 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H61. zenon_intro zenon_H60. % 1.04/1.33 apply (zenon_imply_s _ _ zenon_H61); [ zenon_intro zenon_Hb | zenon_intro zenon_H20 ]. % 1.04/1.33 apply (zenon_L8_ zenon_TT1_m zenon_TX_n); trivial. % 1.04/1.33 apply (zenon_L3_ zenon_TT2_bc zenon_TT1_m zenon_TX_n); trivial. % 1.04/1.33 generalize (zenon_H21 zenon_TT0_bz). zenon_intro zenon_H62. % 1.04/1.33 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H1f. zenon_intro zenon_H63. % 1.04/1.33 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64. % 1.04/1.33 apply (zenon_imply_s _ _ zenon_H65); [ zenon_intro zenon_H32 | zenon_intro zenon_H43 ]. % 1.04/1.33 apply (zenon_L5_ zenon_TT0_bz zenon_TX_n); trivial. % 1.04/1.33 generalize (zenon_H21 zenon_TT1_m). zenon_intro zenon_H5e. % 1.04/1.33 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H1f. zenon_intro zenon_H5f. % 1.04/1.33 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H61. zenon_intro zenon_H60. % 1.04/1.33 apply (zenon_imply_s _ _ zenon_H61); [ zenon_intro zenon_Hb | zenon_intro zenon_H20 ]. % 1.04/1.33 apply (zenon_L8_ zenon_TT1_m zenon_TX_n); trivial. % 1.04/1.33 apply (zenon_L7_ zenon_TT0_bz zenon_TT1_m zenon_TX_n); trivial. % 1.04/1.33 Qed. % 1.04/1.33 % SZS output end Proof % 1.04/1.33 (* END-PROOF *) % 1.04/1.33 nodes searched: 35581 % 1.04/1.33 max branch formulas: 1164 % 1.04/1.33 proof nodes created: 561 % 1.04/1.33 formulas created: 17482 % 1.04/1.33 %------------------------------------------------------------------------------