TSTP Solution File: KRS162+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : KRS162+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n020.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 03:39:38 EDT 2022
% Result : Theorem 1.15s 1.33s
% Output : Proof 1.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS162+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : run_zenon %s %d
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 7 20:09:36 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.15/1.33 (* PROOF-FOUND *)
% 1.15/1.33 % SZS status Theorem
% 1.15/1.33 (* BEGIN-PROOF *)
% 1.15/1.33 % SZS output start Proof
% 1.15/1.33 Theorem the_axiom : ((forall X : zenon_U, ((cowlThing X)/\(~(cowlNothing X))))/\((forall X : zenon_U, ((xsd_string X)<->(~(xsd_integer X))))/\(forall X : zenon_U, (((exists Y0 : zenon_U, (exists Y1 : zenon_U, ((rp X Y0)/\((rp X Y1)/\(~(Y0 = Y1))))))/\(exists Y0 : zenon_U, (exists Y1 : zenon_U, (exists Y2 : zenon_U, ((rq X Y0)/\((rq X Y1)/\((rq X Y2)/\((~(Y0 = Y1))/\((~(Y0 = Y2))/\(~(Y1 = Y2)))))))))))->(exists Y0 : zenon_U, (exists Y1 : zenon_U, (exists Y2 : zenon_U, (exists Y3 : zenon_U, (exists Y4 : zenon_U, ((rr X Y0)/\((rr X Y1)/\((rr X Y2)/\((rr X Y3)/\((rr X Y4)/\((~(Y0 = Y1))/\((~(Y0 = Y2))/\((~(Y0 = Y3))/\((~(Y0 = Y4))/\((~(Y1 = Y2))/\((~(Y1 = Y3))/\((~(Y1 = Y4))/\((~(Y2 = Y3))/\((~(Y2 = Y4))/\(~(Y3 = Y4))))))))))))))))))))))))).
% 1.15/1.33 Proof.
% 1.15/1.33 assert (zenon_L1_ : forall (zenon_TY1_x : zenon_U) (zenon_TY0_y : zenon_U), (~(cA zenon_TY0_y)) -> (cA zenon_TY1_x) -> (zenon_TY1_x = zenon_TY0_y) -> False).
% 1.15/1.33 do 2 intro. intros zenon_H14 zenon_H15 zenon_H16.
% 1.15/1.33 generalize (cA_substitution_1 zenon_TY1_x). zenon_intro zenon_H19.
% 1.15/1.33 generalize (zenon_H19 zenon_TY0_y). zenon_intro zenon_H1a.
% 1.15/1.33 apply (zenon_imply_s _ _ zenon_H1a); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ].
% 1.15/1.33 apply (zenon_notand_s _ _ zenon_H1c); [ zenon_intro zenon_H1e | zenon_intro zenon_H1d ].
% 1.15/1.33 exact (zenon_H1e zenon_H16).
% 1.15/1.33 exact (zenon_H1d zenon_H15).
% 1.15/1.33 exact (zenon_H14 zenon_H1b).
% 1.15/1.33 (* end of lemma zenon_L1_ *)
% 1.15/1.33 assert (zenon_L2_ : forall (zenon_TY0_y : zenon_U) (zenon_TY0_bi : zenon_U), (~(cB zenon_TY0_bi)) -> (cB zenon_TY0_y) -> (zenon_TY0_y = zenon_TY0_bi) -> False).
% 1.15/1.33 do 2 intro. intros zenon_H1f zenon_H20 zenon_H21.
% 1.15/1.33 generalize (cB_substitution_1 zenon_TY0_y). zenon_intro zenon_H23.
% 1.15/1.33 generalize (zenon_H23 zenon_TY0_bi). zenon_intro zenon_H24.
% 1.15/1.33 apply (zenon_imply_s _ _ zenon_H24); [ zenon_intro zenon_H26 | zenon_intro zenon_H25 ].
% 1.15/1.33 apply (zenon_notand_s _ _ zenon_H26); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ].
% 1.15/1.33 exact (zenon_H28 zenon_H21).
% 1.15/1.33 exact (zenon_H27 zenon_H20).
% 1.15/1.33 exact (zenon_H1f zenon_H25).
% 1.15/1.33 (* end of lemma zenon_L2_ *)
% 1.15/1.33 assert (zenon_L3_ : forall (zenon_TY2_br : zenon_U) (zenon_TY0_bi : zenon_U), (~(cB zenon_TY0_bi)) -> (cB zenon_TY2_br) -> (zenon_TY2_br = zenon_TY0_bi) -> False).
% 1.15/1.33 do 2 intro. intros zenon_H1f zenon_H29 zenon_H2a.
% 1.15/1.33 generalize (cB_substitution_1 zenon_TY2_br). zenon_intro zenon_H2c.
% 1.15/1.33 generalize (zenon_H2c zenon_TY0_bi). zenon_intro zenon_H2d.
% 1.15/1.33 apply (zenon_imply_s _ _ zenon_H2d); [ zenon_intro zenon_H2e | zenon_intro zenon_H25 ].
% 1.15/1.33 apply (zenon_notand_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 1.15/1.33 exact (zenon_H30 zenon_H2a).
% 1.15/1.33 exact (zenon_H2f zenon_H29).
% 1.15/1.33 exact (zenon_H1f zenon_H25).
% 1.15/1.33 (* end of lemma zenon_L3_ *)
% 1.15/1.33 assert (zenon_L4_ : forall (zenon_TY1_bz : zenon_U) (zenon_TY0_bi : zenon_U), (~(cB zenon_TY0_bi)) -> (cB zenon_TY1_bz) -> (zenon_TY1_bz = zenon_TY0_bi) -> False).
% 1.15/1.33 do 2 intro. intros zenon_H1f zenon_H31 zenon_H32.
% 1.15/1.33 generalize (cB_substitution_1 zenon_TY1_bz). zenon_intro zenon_H34.
% 1.15/1.33 generalize (zenon_H34 zenon_TY0_bi). zenon_intro zenon_H35.
% 1.15/1.33 apply (zenon_imply_s _ _ zenon_H35); [ zenon_intro zenon_H36 | zenon_intro zenon_H25 ].
% 1.15/1.33 apply (zenon_notand_s _ _ zenon_H36); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ].
% 1.15/1.33 exact (zenon_H38 zenon_H32).
% 1.15/1.33 exact (zenon_H37 zenon_H31).
% 1.15/1.33 exact (zenon_H1f zenon_H25).
% 1.15/1.33 (* end of lemma zenon_L4_ *)
% 1.15/1.33 assert (zenon_L5_ : forall (zenon_TX_cg : zenon_U) (zenon_TY1_x : zenon_U), (~(cA zenon_TY1_x)) -> (rp zenon_TX_cg zenon_TY1_x) -> False).
% 1.15/1.33 do 2 intro. intros zenon_H1d zenon_H39.
% 1.15/1.33 generalize (axiom_2 zenon_TX_cg). zenon_intro zenon_H3b.
% 1.15/1.33 generalize (zenon_H3b zenon_TY1_x). zenon_intro zenon_H3c.
% 1.15/1.33 apply (zenon_imply_s _ _ zenon_H3c); [ zenon_intro zenon_H3d | zenon_intro zenon_H15 ].
% 1.15/1.33 exact (zenon_H3d zenon_H39).
% 1.15/1.33 exact (zenon_H1d zenon_H15).
% 1.15/1.33 (* end of lemma zenon_L5_ *)
% 1.15/1.33 apply NNPP. intro zenon_G.
% 1.15/1.33 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_H3f | zenon_intro zenon_H3e ].
% 1.15/1.33 exact (zenon_H3f axiom_0).
% 1.15/1.33 apply (zenon_notand_s _ _ zenon_H3e); [ zenon_intro zenon_H41 | zenon_intro zenon_H40 ].
% 1.15/1.33 exact (zenon_H41 axiom_1).
% 1.15/1.33 apply (zenon_notallex_s (fun X : zenon_U => (((exists Y0 : zenon_U, (exists Y1 : zenon_U, ((rp X Y0)/\((rp X Y1)/\(~(Y0 = Y1))))))/\(exists Y0 : zenon_U, (exists Y1 : zenon_U, (exists Y2 : zenon_U, ((rq X Y0)/\((rq X Y1)/\((rq X Y2)/\((~(Y0 = Y1))/\((~(Y0 = Y2))/\(~(Y1 = Y2)))))))))))->(exists Y0 : zenon_U, (exists Y1 : zenon_U, (exists Y2 : zenon_U, (exists Y3 : zenon_U, (exists Y4 : zenon_U, ((rr X Y0)/\((rr X Y1)/\((rr X Y2)/\((rr X Y3)/\((rr X Y4)/\((~(Y0 = Y1))/\((~(Y0 = Y2))/\((~(Y0 = Y3))/\((~(Y0 = Y4))/\((~(Y1 = Y2))/\((~(Y1 = Y3))/\((~(Y1 = Y4))/\((~(Y2 = Y3))/\((~(Y2 = Y4))/\(~(Y3 = Y4))))))))))))))))))))))) zenon_H40); [ zenon_intro zenon_H42; idtac ].
% 1.15/1.33 elim zenon_H42. zenon_intro zenon_TX_cg. zenon_intro zenon_H43.
% 1.15/1.33 apply (zenon_notimply_s _ _ zenon_H43). zenon_intro zenon_H45. zenon_intro zenon_H44.
% 1.15/1.33 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H47. zenon_intro zenon_H46.
% 1.15/1.33 elim zenon_H47. zenon_intro zenon_TY0_bi. zenon_intro zenon_H48.
% 1.15/1.33 elim zenon_H48. zenon_intro zenon_TY1_x. zenon_intro zenon_H49.
% 1.15/1.33 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4b. zenon_intro zenon_H4a.
% 1.15/1.33 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H39. zenon_intro zenon_H4c.
% 1.15/1.33 elim zenon_H46. zenon_intro zenon_TY0_y. zenon_intro zenon_H4d.
% 1.15/1.33 elim zenon_H4d. zenon_intro zenon_TY1_bz. zenon_intro zenon_H4e.
% 1.15/1.33 elim zenon_H4e. zenon_intro zenon_TY2_br. zenon_intro zenon_H4f.
% 1.15/1.33 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H51. zenon_intro zenon_H50.
% 1.15/1.33 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52.
% 1.15/1.33 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54.
% 1.15/1.33 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56.
% 1.15/1.33 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58.
% 1.15/1.33 generalize (rq_substitution_2 zenon_TY1_bz). zenon_intro zenon_H5a.
% 1.15/1.33 generalize (rq_substitution_2 zenon_TY2_br). zenon_intro zenon_H5b.
% 1.15/1.33 apply zenon_H44. exists zenon_TY1_x. apply NNPP. zenon_intro zenon_H5c.
% 1.15/1.33 apply zenon_H5c. exists zenon_TY0_y. apply NNPP. zenon_intro zenon_H5d.
% 1.15/1.33 apply zenon_H5d. exists zenon_TY2_br. apply NNPP. zenon_intro zenon_H5e.
% 1.15/1.33 apply zenon_H5e. exists zenon_TY1_bz. apply NNPP. zenon_intro zenon_H5f.
% 1.15/1.33 generalize (axiom_4 zenon_TY0_bi). zenon_intro zenon_H60.
% 1.15/1.33 apply (zenon_notand_s _ _ zenon_H60); [ zenon_intro zenon_H1f | zenon_intro zenon_H61 ].
% 1.15/1.33 generalize (axiom_4 zenon_TY1_x). zenon_intro zenon_H62.
% 1.15/1.33 apply (zenon_notand_s _ _ zenon_H62); [ zenon_intro zenon_H63 | zenon_intro zenon_H1d ].
% 1.15/1.33 apply zenon_H5f. exists zenon_TY0_bi. apply NNPP. zenon_intro zenon_H64.
% 1.15/1.33 apply (zenon_notand_s _ _ zenon_H64); [ zenon_intro zenon_H66 | zenon_intro zenon_H65 ].
% 1.15/1.33 generalize (axiom_6 zenon_TX_cg). zenon_intro zenon_H67.
% 1.15/1.33 generalize (zenon_H67 zenon_TY1_x). zenon_intro zenon_H68.
% 1.15/1.33 apply (zenon_imply_s _ _ zenon_H68); [ zenon_intro zenon_H3d | zenon_intro zenon_H69 ].
% 1.15/1.33 exact (zenon_H3d zenon_H39).
% 1.15/1.33 exact (zenon_H66 zenon_H69).
% 1.15/1.33 apply (zenon_notand_s _ _ zenon_H65); [ zenon_intro zenon_H6b | zenon_intro zenon_H6a ].
% 1.15/1.33 generalize (axiom_5 zenon_TX_cg). zenon_intro zenon_H6c.
% 1.15/1.33 generalize (zenon_H6c zenon_TY0_y). zenon_intro zenon_H6d.
% 1.15/1.33 apply (zenon_imply_s _ _ zenon_H6d); [ zenon_intro zenon_H6f | zenon_intro zenon_H6e ].
% 1.15/1.33 exact (zenon_H6f zenon_H51).
% 1.15/1.33 exact (zenon_H6b zenon_H6e).
% 1.15/1.33 apply (zenon_notand_s _ _ zenon_H6a); [ zenon_intro zenon_H71 | zenon_intro zenon_H70 ].
% 1.15/1.33 generalize (axiom_5 zenon_TX_cg). zenon_intro zenon_H6c.
% 1.15/1.33 generalize (zenon_H6c zenon_TY2_br). zenon_intro zenon_H72.
% 1.15/1.33 apply (zenon_imply_s _ _ zenon_H72); [ zenon_intro zenon_H74 | zenon_intro zenon_H73 ].
% 1.15/1.33 exact (zenon_H74 zenon_H55).
% 1.15/1.33 exact (zenon_H71 zenon_H73).
% 1.15/1.33 apply (zenon_notand_s _ _ zenon_H70); [ zenon_intro zenon_H76 | zenon_intro zenon_H75 ].
% 1.15/1.33 generalize (axiom_5 zenon_TX_cg). zenon_intro zenon_H6c.
% 1.15/1.33 generalize (zenon_H6c zenon_TY1_bz). zenon_intro zenon_H77.
% 1.15/1.33 apply (zenon_imply_s _ _ zenon_H77); [ zenon_intro zenon_H79 | zenon_intro zenon_H78 ].
% 1.15/1.33 exact (zenon_H79 zenon_H53).
% 1.15/1.33 exact (zenon_H76 zenon_H78).
% 1.15/1.33 apply (zenon_notand_s _ _ zenon_H75); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ].
% 1.15/1.33 generalize (axiom_6 zenon_TX_cg). zenon_intro zenon_H67.
% 1.15/1.33 generalize (zenon_H67 zenon_TY0_bi). zenon_intro zenon_H7c.
% 1.15/1.33 apply (zenon_imply_s _ _ zenon_H7c); [ zenon_intro zenon_H7e | zenon_intro zenon_H7d ].
% 1.15/1.33 exact (zenon_H7e zenon_H4b).
% 1.15/1.33 exact (zenon_H7b zenon_H7d).
% 1.15/1.33 apply (zenon_notand_s _ _ zenon_H7a); [ zenon_intro zenon_H80 | zenon_intro zenon_H7f ].
% 1.15/1.33 apply zenon_H80. zenon_intro zenon_H16.
% 1.15/1.33 generalize (axiom_4 zenon_TY0_y). zenon_intro zenon_H81.
% 1.15/1.33 apply (zenon_notand_s _ _ zenon_H81); [ zenon_intro zenon_H27 | zenon_intro zenon_H14 ].
% 1.15/1.33 generalize (axiom_3 zenon_TX_cg). zenon_intro zenon_H82.
% 1.15/1.33 generalize (zenon_H82 zenon_TY0_y). zenon_intro zenon_H83.
% 1.15/1.33 apply (zenon_imply_s _ _ zenon_H83); [ zenon_intro zenon_H6f | zenon_intro zenon_H20 ].
% 1.15/1.33 exact (zenon_H6f zenon_H51).
% 1.15/1.33 exact (zenon_H27 zenon_H20).
% 1.15/1.33 generalize (axiom_2 zenon_TX_cg). zenon_intro zenon_H3b.
% 1.15/1.33 generalize (zenon_H3b zenon_TY1_x). zenon_intro zenon_H3c.
% 1.15/1.33 apply (zenon_imply_s _ _ zenon_H3c); [ zenon_intro zenon_H3d | zenon_intro zenon_H15 ].
% 1.15/1.33 exact (zenon_H3d zenon_H39).
% 1.15/1.33 apply (zenon_L1_ zenon_TY1_x zenon_TY0_y); trivial.
% 1.15/1.33 apply (zenon_notand_s _ _ zenon_H7f); [ zenon_intro zenon_H85 | zenon_intro zenon_H84 ].
% 1.15/1.33 apply zenon_H85. zenon_intro zenon_H86.
% 1.15/1.33 generalize (zenon_H5b zenon_TY1_x). zenon_intro zenon_H87.
% 1.15/1.33 generalize (axiom_3 zenon_TX_cg). zenon_intro zenon_H82.
% 1.15/1.33 generalize (zenon_H82 zenon_TY1_x). zenon_intro zenon_H88.
% 1.15/1.33 apply (zenon_imply_s _ _ zenon_H88); [ zenon_intro zenon_H8a | zenon_intro zenon_H89 ].
% 1.15/1.33 generalize (zenon_H87 zenon_TX_cg). zenon_intro zenon_H8b.
% 1.15/1.33 apply (zenon_imply_s _ _ zenon_H8b); [ zenon_intro zenon_H8d | zenon_intro zenon_H8c ].
% 1.15/1.33 apply (zenon_notand_s _ _ zenon_H8d); [ zenon_intro zenon_H8e | zenon_intro zenon_H74 ].
% 1.15/1.33 apply zenon_H8e. apply sym_equal. exact zenon_H86.
% 1.15/1.33 exact (zenon_H74 zenon_H55).
% 1.15/1.33 exact (zenon_H8a zenon_H8c).
% 1.15/1.33 exact (zenon_H63 zenon_H89).
% 1.15/1.33 apply (zenon_notand_s _ _ zenon_H84); [ zenon_intro zenon_H90 | zenon_intro zenon_H8f ].
% 1.15/1.33 apply zenon_H90. zenon_intro zenon_H91.
% 1.15/1.33 generalize (zenon_H5a zenon_TY1_x). zenon_intro zenon_H92.
% 1.15/1.33 generalize (axiom_3 zenon_TX_cg). zenon_intro zenon_H82.
% 1.15/1.33 generalize (zenon_H82 zenon_TY1_x). zenon_intro zenon_H88.
% 1.15/1.33 apply (zenon_imply_s _ _ zenon_H88); [ zenon_intro zenon_H8a | zenon_intro zenon_H89 ].
% 1.15/1.33 generalize (zenon_H92 zenon_TX_cg). zenon_intro zenon_H93.
% 1.15/1.33 apply (zenon_imply_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8c ].
% 1.15/1.33 apply (zenon_notand_s _ _ zenon_H94); [ zenon_intro zenon_H95 | zenon_intro zenon_H79 ].
% 1.15/1.33 apply zenon_H95. apply sym_equal. exact zenon_H91.
% 1.15/1.33 exact (zenon_H79 zenon_H53).
% 1.15/1.33 exact (zenon_H8a zenon_H8c).
% 1.15/1.33 exact (zenon_H63 zenon_H89).
% 1.15/1.33 apply (zenon_notand_s _ _ zenon_H8f); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ].
% 1.15/1.33 apply zenon_H97. zenon_intro zenon_H98.
% 1.15/1.33 apply zenon_H4c. apply sym_equal. exact zenon_H98.
% 1.15/1.33 apply (zenon_notand_s _ _ zenon_H96); [ zenon_intro zenon_H9a | zenon_intro zenon_H99 ].
% 1.15/1.33 exact (zenon_H9a zenon_H59).
% 1.15/1.33 apply (zenon_notand_s _ _ zenon_H99); [ zenon_intro zenon_H9c | zenon_intro zenon_H9b ].
% 1.15/1.33 exact (zenon_H9c zenon_H57).
% 1.15/1.33 apply (zenon_notand_s _ _ zenon_H9b); [ zenon_intro zenon_H9e | zenon_intro zenon_H9d ].
% 1.15/1.33 apply zenon_H9e. zenon_intro zenon_H21.
% 1.15/1.33 generalize (axiom_3 zenon_TX_cg). zenon_intro zenon_H82.
% 1.15/1.33 generalize (zenon_H82 zenon_TY0_y). zenon_intro zenon_H83.
% 1.15/1.33 apply (zenon_imply_s _ _ zenon_H83); [ zenon_intro zenon_H6f | zenon_intro zenon_H20 ].
% 1.15/1.33 exact (zenon_H6f zenon_H51).
% 1.15/1.33 apply (zenon_L2_ zenon_TY0_y zenon_TY0_bi); trivial.
% 1.15/1.33 apply (zenon_notand_s _ _ zenon_H9d); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H9f ].
% 1.15/1.33 apply zenon_Ha0. zenon_intro zenon_Ha1.
% 1.15/1.33 apply zenon_H58. apply sym_equal. exact zenon_Ha1.
% 1.15/1.33 apply (zenon_notand_s _ _ zenon_H9f); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ].
% 1.15/1.33 apply zenon_Ha3. zenon_intro zenon_H2a.
% 1.15/1.33 generalize (axiom_3 zenon_TX_cg). zenon_intro zenon_H82.
% 1.15/1.33 generalize (zenon_H82 zenon_TY2_br). zenon_intro zenon_Ha4.
% 1.15/1.33 apply (zenon_imply_s _ _ zenon_Ha4); [ zenon_intro zenon_H74 | zenon_intro zenon_H29 ].
% 1.15/1.33 exact (zenon_H74 zenon_H55).
% 1.15/1.33 apply (zenon_L3_ zenon_TY2_br zenon_TY0_bi); trivial.
% 1.15/1.33 apply zenon_Ha2. zenon_intro zenon_H32.
% 1.15/1.33 generalize (axiom_3 zenon_TX_cg). zenon_intro zenon_H82.
% 1.15/1.33 generalize (zenon_H82 zenon_TY1_bz). zenon_intro zenon_Ha5.
% 1.15/1.33 apply (zenon_imply_s _ _ zenon_Ha5); [ zenon_intro zenon_H79 | zenon_intro zenon_H31 ].
% 1.15/1.33 exact (zenon_H79 zenon_H53).
% 1.15/1.33 apply (zenon_L4_ zenon_TY1_bz zenon_TY0_bi); trivial.
% 1.15/1.33 apply (zenon_L5_ zenon_TX_cg zenon_TY1_x); trivial.
% 1.15/1.33 generalize (axiom_2 zenon_TX_cg). zenon_intro zenon_H3b.
% 1.15/1.33 generalize (zenon_H3b zenon_TY0_bi). zenon_intro zenon_Ha6.
% 1.15/1.33 apply (zenon_imply_s _ _ zenon_Ha6); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha7 ].
% 1.15/1.33 exact (zenon_H7e zenon_H4b).
% 1.15/1.33 exact (zenon_H61 zenon_Ha7).
% 1.15/1.33 Qed.
% 1.15/1.33 % SZS output end Proof
% 1.15/1.33 (* END-PROOF *)
% 1.15/1.33 nodes searched: 56222
% 1.15/1.33 max branch formulas: 3531
% 1.15/1.33 proof nodes created: 807
% 1.15/1.33 formulas created: 138975
% 1.15/1.33
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