%------------------------------------------------------------------------------ % 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 %------------------------------------------------------------------------------