TSTP Solution File: MGT057+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : MGT057+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n023.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 : Sun Jul 17 22:31:14 EDT 2022
% Result : Theorem 0.87s 1.06s
% Output : Proof 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : MGT057+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13 % Command : run_zenon %s %d
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 9 12:35:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.87/1.06 (* PROOF-FOUND *)
% 0.87/1.06 % SZS status Theorem
% 0.87/1.06 (* BEGIN-PROOF *)
% 0.87/1.06 % SZS output start Proof
% 0.87/1.06 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)))))))).
% 0.87/1.06 Proof.
% 0.87/1.06 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).
% 0.87/1.06 do 2 intro. intros zenon_Ha zenon_Hb.
% 0.87/1.06 generalize (definition_smaller_or_equal (age zenon_TX_n zenon_TT1_m)). zenon_intro zenon_He.
% 0.87/1.06 generalize (zenon_He (eta)). zenon_intro zenon_Hf.
% 0.87/1.06 apply (zenon_equiv_s _ _ zenon_Hf); [ zenon_intro zenon_Hb; zenon_intro zenon_H12 | zenon_intro zenon_H11; zenon_intro zenon_H10 ].
% 0.87/1.06 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H14. zenon_intro zenon_H13.
% 0.87/1.06 generalize (definition_smaller (age zenon_TX_n zenon_TT1_m)). zenon_intro zenon_H15.
% 0.87/1.06 generalize (zenon_H15 (eta)). zenon_intro zenon_H16.
% 0.87/1.06 apply (zenon_equiv_s _ _ zenon_H16); [ zenon_intro zenon_H14; zenon_intro zenon_H18 | zenon_intro zenon_H17; zenon_intro zenon_Ha ].
% 0.87/1.06 exact (zenon_H18 zenon_Ha).
% 0.87/1.06 exact (zenon_H14 zenon_H17).
% 0.87/1.06 exact (zenon_Hb zenon_H11).
% 0.87/1.06 (* end of lemma zenon_L1_ *)
% 0.87/1.06 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).
% 0.87/1.06 do 2 intro. intros zenon_H19 zenon_H1a zenon_H1b.
% 0.87/1.06 apply (zenon_imply_s _ _ zenon_H19); [ zenon_intro zenon_H1e | zenon_intro zenon_H1d ].
% 0.87/1.06 exact (zenon_H1e zenon_H1b).
% 0.87/1.06 exact (zenon_H1d zenon_H1a).
% 0.87/1.06 (* end of lemma zenon_L2_ *)
% 0.87/1.06 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).
% 0.87/1.06 do 3 intro. intros zenon_H1f zenon_H20 zenon_H21 zenon_H1b zenon_H22.
% 0.87/1.06 generalize (assumption_3 zenon_TX_n). zenon_intro zenon_H23.
% 0.87/1.06 generalize (zenon_H23 zenon_TT1_m). zenon_intro zenon_H24.
% 0.87/1.06 generalize (zenon_H24 zenon_TT2_bc). zenon_intro zenon_H25.
% 0.87/1.06 apply (zenon_imply_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 0.87/1.06 apply (zenon_notand_s _ _ zenon_H27); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ].
% 0.87/1.06 exact (zenon_H29 zenon_H1f).
% 0.87/1.06 apply (zenon_notand_s _ _ zenon_H28); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ].
% 0.87/1.06 exact (zenon_H2b zenon_H20).
% 0.87/1.06 apply zenon_H2a. zenon_intro zenon_H1a.
% 0.87/1.06 generalize (zenon_H21 zenon_TT2_bc). zenon_intro zenon_H2c.
% 0.87/1.06 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H2d.
% 0.87/1.06 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2e. zenon_intro zenon_H19.
% 0.87/1.06 apply (zenon_L2_ zenon_TT2_bc zenon_TX_n); trivial.
% 0.87/1.06 exact (zenon_H22 zenon_H26).
% 0.87/1.06 (* end of lemma zenon_L3_ *)
% 0.87/1.06 assert (zenon_L4_ : (~((eta) = (eta))) -> False).
% 0.87/1.06 do 0 intro. intros zenon_H2f.
% 0.87/1.06 apply zenon_H2f. apply refl_equal.
% 0.87/1.06 (* end of lemma zenon_L4_ *)
% 0.87/1.06 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).
% 0.87/1.06 do 2 intro. intros zenon_H30 zenon_H31 zenon_H32.
% 0.87/1.06 generalize (definition_smaller_or_equal (age zenon_TX_n zenon_TT0_bz)). zenon_intro zenon_H34.
% 0.87/1.06 generalize (zenon_H34 (eta)). zenon_intro zenon_H35.
% 0.87/1.06 apply (zenon_equiv_s _ _ zenon_H35); [ zenon_intro zenon_H32; zenon_intro zenon_H38 | zenon_intro zenon_H37; zenon_intro zenon_H36 ].
% 0.87/1.06 apply (zenon_notor_s _ _ zenon_H38). zenon_intro zenon_H3a. zenon_intro zenon_H39.
% 0.87/1.06 generalize (definition_smaller (age zenon_TX_n zenon_TT0_bz)). zenon_intro zenon_H3b.
% 0.87/1.06 generalize (zenon_H3b (eta)). zenon_intro zenon_H3c.
% 0.87/1.06 apply (zenon_equiv_s _ _ zenon_H3c); [ zenon_intro zenon_H3a; zenon_intro zenon_H3f | zenon_intro zenon_H3e; zenon_intro zenon_H3d ].
% 0.87/1.06 elim (classic ((zero) = (age zenon_TX_n zenon_TT0_bz))); [ zenon_intro zenon_H40 | zenon_intro zenon_H41 ].
% 0.87/1.06 cut ((greater (eta) (zero)) = (greater (eta) (age zenon_TX_n zenon_TT0_bz))).
% 0.87/1.06 intro zenon_D_pnotp.
% 0.87/1.06 apply zenon_H3f.
% 0.87/1.06 rewrite <- zenon_D_pnotp.
% 0.87/1.06 exact zenon_H31.
% 0.87/1.06 cut (((zero) = (age zenon_TX_n zenon_TT0_bz))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 0.87/1.06 cut (((eta) = (eta))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 0.87/1.06 congruence.
% 0.87/1.06 apply zenon_H2f. apply refl_equal.
% 0.87/1.06 exact (zenon_H41 zenon_H40).
% 0.87/1.06 apply zenon_H41. apply sym_equal. exact zenon_H30.
% 0.87/1.06 exact (zenon_H3a zenon_H3e).
% 0.87/1.06 exact (zenon_H32 zenon_H37).
% 0.87/1.06 (* end of lemma zenon_L5_ *)
% 0.87/1.06 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).
% 0.87/1.06 do 3 intro. intros zenon_H42 zenon_H1f zenon_H20 zenon_H43 zenon_H44.
% 0.87/1.06 generalize (zenon_H42 zenon_TT0_bz). zenon_intro zenon_H45.
% 0.87/1.06 apply (zenon_imply_s _ _ zenon_H45); [ zenon_intro zenon_H47 | zenon_intro zenon_H46 ].
% 0.87/1.06 apply (zenon_notand_s _ _ zenon_H47); [ zenon_intro zenon_H29 | zenon_intro zenon_H48 ].
% 0.87/1.06 exact (zenon_H29 zenon_H1f).
% 0.87/1.06 apply (zenon_notand_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H49 ].
% 0.87/1.06 exact (zenon_H2b zenon_H20).
% 0.87/1.06 exact (zenon_H49 zenon_H43).
% 0.87/1.06 exact (zenon_H44 zenon_H46).
% 0.87/1.06 (* end of lemma zenon_L6_ *)
% 0.87/1.06 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).
% 0.87/1.06 do 3 intro. intros zenon_H1f zenon_H20 zenon_H43 zenon_H44.
% 0.87/1.06 generalize (assumption_2 zenon_TX_n). zenon_intro zenon_H4a.
% 0.87/1.06 generalize (zenon_H4a zenon_TT1_m). zenon_intro zenon_H42.
% 0.87/1.06 apply (zenon_L6_ zenon_TT0_bz zenon_TT1_m zenon_TX_n); trivial.
% 0.87/1.06 (* end of lemma zenon_L7_ *)
% 0.87/1.06 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).
% 0.87/1.06 do 2 intro. intros zenon_H4b zenon_Hb.
% 0.87/1.06 generalize (definition_smaller_or_equal (age zenon_TX_n zenon_TT1_m)). zenon_intro zenon_He.
% 0.87/1.06 generalize (zenon_He (eta)). zenon_intro zenon_Hf.
% 0.87/1.06 apply (zenon_equiv_s _ _ zenon_Hf); [ zenon_intro zenon_Hb; zenon_intro zenon_H12 | zenon_intro zenon_H11; zenon_intro zenon_H10 ].
% 0.87/1.06 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H14. zenon_intro zenon_H13.
% 0.87/1.06 exact (zenon_H13 zenon_H4b).
% 0.87/1.06 exact (zenon_Hb zenon_H11).
% 0.87/1.06 (* end of lemma zenon_L8_ *)
% 0.87/1.06 apply NNPP. intro zenon_G.
% 0.87/1.06 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 ].
% 0.87/1.06 elim zenon_H4c. zenon_intro zenon_TX_n. zenon_intro zenon_H4d.
% 0.87/1.06 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 ].
% 0.87/1.06 elim zenon_H4e. zenon_intro zenon_TT0_bz. zenon_intro zenon_H4f.
% 0.87/1.06 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 ].
% 0.87/1.06 elim zenon_H50. zenon_intro zenon_TT1_m. zenon_intro zenon_H51.
% 0.87/1.06 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 ].
% 0.87/1.06 elim zenon_H52. zenon_intro zenon_TT2_bc. zenon_intro zenon_H53.
% 0.87/1.06 apply (zenon_notimply_s _ _ zenon_H53). zenon_intro zenon_H55. zenon_intro zenon_H54.
% 0.87/1.06 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H56.
% 0.87/1.06 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H58. zenon_intro zenon_H57.
% 0.87/1.06 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H30. zenon_intro zenon_H59.
% 0.87/1.06 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H11. zenon_intro zenon_H5a.
% 0.87/1.06 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H1b. zenon_intro zenon_H31.
% 0.87/1.06 generalize (definition_1 zenon_TX_n). zenon_intro zenon_H5b.
% 0.87/1.06 apply (zenon_equiv_s _ _ zenon_H5b); [ zenon_intro zenon_H5d; zenon_intro zenon_H5c | zenon_intro zenon_H58; zenon_intro zenon_H21 ].
% 0.87/1.06 exact (zenon_H5d zenon_H58).
% 0.87/1.06 generalize (definition_smaller_or_equal (age zenon_TX_n zenon_TT1_m)). zenon_intro zenon_He.
% 0.87/1.06 generalize (zenon_He (eta)). zenon_intro zenon_Hf.
% 0.87/1.06 apply (zenon_equiv_s _ _ zenon_Hf); [ zenon_intro zenon_Hb; zenon_intro zenon_H12 | zenon_intro zenon_H11; zenon_intro zenon_H10 ].
% 0.87/1.06 exact (zenon_Hb zenon_H11).
% 0.87/1.06 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_H17 | zenon_intro zenon_H4b ].
% 0.87/1.06 generalize (definition_smaller (age zenon_TX_n zenon_TT1_m)). zenon_intro zenon_H15.
% 0.87/1.06 generalize (zenon_H15 (eta)). zenon_intro zenon_H16.
% 0.87/1.06 apply (zenon_equiv_s _ _ zenon_H16); [ zenon_intro zenon_H14; zenon_intro zenon_H18 | zenon_intro zenon_H17; zenon_intro zenon_Ha ].
% 0.87/1.06 exact (zenon_H14 zenon_H17).
% 0.87/1.06 apply (zenon_notand_s _ _ zenon_H54); [ zenon_intro zenon_H22 | zenon_intro zenon_H44 ].
% 0.87/1.06 generalize (zenon_H21 zenon_TT1_m). zenon_intro zenon_H5e.
% 0.87/1.06 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H1f. zenon_intro zenon_H5f.
% 0.87/1.06 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H61. zenon_intro zenon_H60.
% 0.87/1.06 apply (zenon_imply_s _ _ zenon_H61); [ zenon_intro zenon_Hb | zenon_intro zenon_H20 ].
% 0.87/1.06 apply (zenon_L1_ zenon_TT1_m zenon_TX_n); trivial.
% 0.87/1.06 apply (zenon_L3_ zenon_TT2_bc zenon_TT1_m zenon_TX_n); trivial.
% 0.87/1.06 generalize (zenon_H21 zenon_TT0_bz). zenon_intro zenon_H62.
% 0.87/1.06 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H1f. zenon_intro zenon_H63.
% 0.87/1.06 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 0.87/1.06 apply (zenon_imply_s _ _ zenon_H65); [ zenon_intro zenon_H32 | zenon_intro zenon_H43 ].
% 0.87/1.06 apply (zenon_L5_ zenon_TT0_bz zenon_TX_n); trivial.
% 0.87/1.06 generalize (zenon_H21 zenon_TT1_m). zenon_intro zenon_H5e.
% 0.87/1.06 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H1f. zenon_intro zenon_H5f.
% 0.87/1.06 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H61. zenon_intro zenon_H60.
% 0.87/1.06 apply (zenon_imply_s _ _ zenon_H61); [ zenon_intro zenon_Hb | zenon_intro zenon_H20 ].
% 0.87/1.06 apply (zenon_L1_ zenon_TT1_m zenon_TX_n); trivial.
% 0.87/1.06 apply (zenon_L7_ zenon_TT0_bz zenon_TT1_m zenon_TX_n); trivial.
% 0.87/1.06 apply (zenon_notand_s _ _ zenon_H54); [ zenon_intro zenon_H22 | zenon_intro zenon_H44 ].
% 0.87/1.06 generalize (zenon_H21 zenon_TT1_m). zenon_intro zenon_H5e.
% 0.87/1.06 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H1f. zenon_intro zenon_H5f.
% 0.87/1.06 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H61. zenon_intro zenon_H60.
% 0.87/1.06 apply (zenon_imply_s _ _ zenon_H61); [ zenon_intro zenon_Hb | zenon_intro zenon_H20 ].
% 0.87/1.06 apply (zenon_L8_ zenon_TT1_m zenon_TX_n); trivial.
% 0.87/1.06 apply (zenon_L3_ zenon_TT2_bc zenon_TT1_m zenon_TX_n); trivial.
% 0.87/1.06 generalize (zenon_H21 zenon_TT0_bz). zenon_intro zenon_H62.
% 0.87/1.06 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H1f. zenon_intro zenon_H63.
% 0.87/1.06 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 0.87/1.06 apply (zenon_imply_s _ _ zenon_H65); [ zenon_intro zenon_H32 | zenon_intro zenon_H43 ].
% 0.87/1.06 apply (zenon_L5_ zenon_TT0_bz zenon_TX_n); trivial.
% 0.87/1.06 generalize (zenon_H21 zenon_TT1_m). zenon_intro zenon_H5e.
% 0.87/1.06 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H1f. zenon_intro zenon_H5f.
% 0.87/1.06 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H61. zenon_intro zenon_H60.
% 0.87/1.06 apply (zenon_imply_s _ _ zenon_H61); [ zenon_intro zenon_Hb | zenon_intro zenon_H20 ].
% 0.87/1.06 apply (zenon_L8_ zenon_TT1_m zenon_TX_n); trivial.
% 0.87/1.06 apply (zenon_L7_ zenon_TT0_bz zenon_TT1_m zenon_TX_n); trivial.
% 0.87/1.06 Qed.
% 0.87/1.06 % SZS output end Proof
% 0.87/1.06 (* END-PROOF *)
% 0.87/1.06 nodes searched: 35581
% 0.87/1.06 max branch formulas: 1164
% 0.87/1.06 proof nodes created: 561
% 0.87/1.06 formulas created: 18552
% 0.87/1.06
%------------------------------------------------------------------------------