TSTP Solution File: PUZ031+2 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : PUZ031+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n021.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 : Mon Jul 18 18:33:38 EDT 2022
% Result : Theorem 2.71s 2.87s
% Output : Proof 2.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ031+2 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : run_zenon %s %d
% 0.12/0.34 % Computer : n021.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 : Sat May 28 21:46:42 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.71/2.87 (* PROOF-FOUND *)
% 2.71/2.87 % SZS status Theorem
% 2.71/2.87 (* BEGIN-PROOF *)
% 2.71/2.87 % SZS output start Proof
% 2.71/2.87 Theorem pel47 : (exists X : zenon_U, (exists Y : zenon_U, ((animal X)/\((animal Y)/\(exists Z : zenon_U, ((grain Z)/\((eats Y Z)/\(eats X Y)))))))).
% 2.71/2.87 Proof.
% 2.71/2.87 assert (zenon_L1_ : forall (zenon_TA_ba : zenon_U), (bird zenon_TA_ba) -> (~(animal zenon_TA_ba)) -> False).
% 2.71/2.87 do 1 intro. intros zenon_H18 zenon_H19.
% 2.71/2.87 generalize (pel47_3_1 zenon_TA_ba). zenon_intro zenon_H1b.
% 2.71/2.87 apply (zenon_imply_s _ _ zenon_H1b); [ zenon_intro zenon_H1d | zenon_intro zenon_H1c ].
% 2.71/2.87 exact (zenon_H1d zenon_H18).
% 2.71/2.87 exact (zenon_H19 zenon_H1c).
% 2.71/2.87 (* end of lemma zenon_L1_ *)
% 2.71/2.87 assert (zenon_L2_ : forall (zenon_TA_bg : zenon_U), (fox zenon_TA_bg) -> (~(animal zenon_TA_bg)) -> False).
% 2.71/2.87 do 1 intro. intros zenon_H1e zenon_H1f.
% 2.71/2.87 generalize (pel47_2_1 zenon_TA_bg). zenon_intro zenon_H21.
% 2.71/2.87 apply (zenon_imply_s _ _ zenon_H21); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 2.71/2.87 exact (zenon_H23 zenon_H1e).
% 2.71/2.87 exact (zenon_H1f zenon_H22).
% 2.71/2.87 (* end of lemma zenon_L2_ *)
% 2.71/2.87 assert (zenon_L3_ : forall (zenon_TA_bm : zenon_U), (wolf zenon_TA_bm) -> (~(animal zenon_TA_bm)) -> False).
% 2.71/2.87 do 1 intro. intros zenon_H24 zenon_H25.
% 2.71/2.87 generalize (pel47_1_1 zenon_TA_bm). zenon_intro zenon_H27.
% 2.71/2.87 apply (zenon_imply_s _ _ zenon_H27); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ].
% 2.71/2.87 exact (zenon_H29 zenon_H24).
% 2.71/2.87 exact (zenon_H25 zenon_H28).
% 2.71/2.87 (* end of lemma zenon_L3_ *)
% 2.71/2.87 assert (zenon_L4_ : forall (zenon_TA_bs : zenon_U) (zenon_TA_bm : zenon_U), (wolf zenon_TA_bm) -> (forall Y : zenon_U, ((plant Y)->(eats zenon_TA_bm Y))) -> (grain zenon_TA_bs) -> False).
% 2.71/2.87 do 2 intro. intros zenon_H24 zenon_H2a zenon_H2b.
% 2.71/2.87 generalize (pel47_11a zenon_TA_bm). zenon_intro zenon_H2d.
% 2.71/2.87 generalize (pel47_6_2 zenon_TA_bs). zenon_intro zenon_H2e.
% 2.71/2.87 apply (zenon_imply_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 2.71/2.87 exact (zenon_H30 zenon_H2b).
% 2.71/2.87 generalize (zenon_H2a zenon_TA_bs). zenon_intro zenon_H31.
% 2.71/2.87 apply (zenon_imply_s _ _ zenon_H31); [ zenon_intro zenon_H33 | zenon_intro zenon_H32 ].
% 2.71/2.87 exact (zenon_H33 zenon_H2f).
% 2.71/2.87 generalize (zenon_H2d zenon_TA_bs). zenon_intro zenon_H34.
% 2.71/2.87 apply (zenon_imply_s _ _ zenon_H34); [ zenon_intro zenon_H36 | zenon_intro zenon_H35 ].
% 2.71/2.87 apply (zenon_notand_s _ _ zenon_H36); [ zenon_intro zenon_H29 | zenon_intro zenon_H30 ].
% 2.71/2.87 exact (zenon_H29 zenon_H24).
% 2.71/2.87 exact (zenon_H30 zenon_H2b).
% 2.71/2.87 exact (zenon_H35 zenon_H32).
% 2.71/2.87 (* end of lemma zenon_L4_ *)
% 2.71/2.87 assert (zenon_L5_ : forall (zenon_TA_bg : zenon_U) (zenon_TA_bm : zenon_U), (forall Y : zenon_U, (((wolf zenon_TA_bm)/\(fox Y))->(~(eats zenon_TA_bm Y)))) -> (wolf zenon_TA_bm) -> (fox zenon_TA_bg) -> (eats zenon_TA_bm zenon_TA_bg) -> False).
% 2.71/2.87 do 2 intro. intros zenon_H37 zenon_H24 zenon_H1e zenon_H38.
% 2.71/2.87 generalize (zenon_H37 zenon_TA_bg). zenon_intro zenon_H39.
% 2.71/2.87 apply (zenon_imply_s _ _ zenon_H39); [ zenon_intro zenon_H3b | zenon_intro zenon_H3a ].
% 2.71/2.87 apply (zenon_notand_s _ _ zenon_H3b); [ zenon_intro zenon_H29 | zenon_intro zenon_H23 ].
% 2.71/2.87 exact (zenon_H29 zenon_H24).
% 2.71/2.87 exact (zenon_H23 zenon_H1e).
% 2.71/2.87 exact (zenon_H3a zenon_H38).
% 2.71/2.87 (* end of lemma zenon_L5_ *)
% 2.71/2.87 assert (zenon_L6_ : forall (zenon_TA_bg : zenon_U) (zenon_TA_bs : zenon_U) (zenon_TA_bm : zenon_U), (wolf zenon_TA_bm) -> (grain zenon_TA_bs) -> (forall Y : zenon_U, ((plant Y)->(eats zenon_TA_bg Y))) -> (much_smaller zenon_TA_bg zenon_TA_bm) -> (fox zenon_TA_bg) -> False).
% 2.71/2.87 do 3 intro. intros zenon_H24 zenon_H2b zenon_H3c zenon_H3d zenon_H1e.
% 2.71/2.87 generalize (pel47_7 zenon_TA_bm). zenon_intro zenon_H3e.
% 2.71/2.87 apply (zenon_imply_s _ _ zenon_H3e); [ zenon_intro zenon_H25 | zenon_intro zenon_H3f ].
% 2.71/2.87 apply (zenon_L3_ zenon_TA_bm); trivial.
% 2.71/2.87 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H2a | zenon_intro zenon_H40 ].
% 2.71/2.87 apply (zenon_L4_ zenon_TA_bs zenon_TA_bm); trivial.
% 2.71/2.87 generalize (pel47_6_2 zenon_TA_bs). zenon_intro zenon_H2e.
% 2.71/2.87 apply (zenon_imply_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 2.71/2.87 exact (zenon_H30 zenon_H2b).
% 2.71/2.87 generalize (zenon_H3c zenon_TA_bs). zenon_intro zenon_H41.
% 2.71/2.87 apply (zenon_imply_s _ _ zenon_H41); [ zenon_intro zenon_H33 | zenon_intro zenon_H42 ].
% 2.71/2.87 exact (zenon_H33 zenon_H2f).
% 2.71/2.87 generalize (pel47_11 zenon_TA_bm). zenon_intro zenon_H37.
% 2.71/2.87 generalize (pel47_2_1 zenon_TA_bg). zenon_intro zenon_H21.
% 2.71/2.87 apply (zenon_imply_s _ _ zenon_H21); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 2.71/2.87 exact (zenon_H23 zenon_H1e).
% 2.71/2.87 generalize (zenon_H40 zenon_TA_bg). zenon_intro zenon_H43.
% 2.71/2.87 apply (zenon_imply_s _ _ zenon_H43); [ zenon_intro zenon_H44 | zenon_intro zenon_H38 ].
% 2.71/2.87 apply (zenon_notand_s _ _ zenon_H44); [ zenon_intro zenon_H1f | zenon_intro zenon_H45 ].
% 2.71/2.87 exact (zenon_H1f zenon_H22).
% 2.71/2.87 apply (zenon_notand_s _ _ zenon_H45); [ zenon_intro zenon_H47 | zenon_intro zenon_H46 ].
% 2.71/2.87 exact (zenon_H47 zenon_H3d).
% 2.71/2.87 apply zenon_H46. exists zenon_TA_bs. apply NNPP. zenon_intro zenon_H48.
% 2.71/2.87 apply (zenon_notand_s _ _ zenon_H48); [ zenon_intro zenon_H33 | zenon_intro zenon_H49 ].
% 2.71/2.87 exact (zenon_H33 zenon_H2f).
% 2.71/2.87 exact (zenon_H49 zenon_H42).
% 2.71/2.87 apply (zenon_L5_ zenon_TA_bg zenon_TA_bm); trivial.
% 2.71/2.87 (* end of lemma zenon_L6_ *)
% 2.71/2.87 assert (zenon_L7_ : forall (zenon_TA_bs : zenon_U), (grain zenon_TA_bs) -> (~(plant zenon_TA_bs)) -> False).
% 2.71/2.87 do 1 intro. intros zenon_H2b zenon_H33.
% 2.71/2.87 generalize (pel47_6_2 zenon_TA_bs). zenon_intro zenon_H2e.
% 2.71/2.87 apply (zenon_imply_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 2.71/2.87 exact (zenon_H30 zenon_H2b).
% 2.71/2.87 exact (zenon_H33 zenon_H2f).
% 2.71/2.87 (* end of lemma zenon_L7_ *)
% 2.71/2.87 assert (zenon_L8_ : forall (zenon_TA_bs : zenon_U) (zenon_TA_ba : zenon_U) (zenon_TA_bg : zenon_U), (~(exists Y : zenon_U, ((animal zenon_TA_bg)/\((animal Y)/\(exists Z : zenon_U, ((grain Z)/\((eats Y Z)/\(eats zenon_TA_bg Y)))))))) -> (fox zenon_TA_bg) -> (bird zenon_TA_ba) -> (grain zenon_TA_bs) -> (eats zenon_TA_ba zenon_TA_bs) -> (eats zenon_TA_bg zenon_TA_ba) -> False).
% 2.71/2.87 do 3 intro. intros zenon_H4a zenon_H1e zenon_H18 zenon_H2b zenon_H4b zenon_H4c.
% 2.71/2.87 apply zenon_H4a. exists zenon_TA_ba. apply NNPP. zenon_intro zenon_H4d.
% 2.71/2.87 apply (zenon_notand_s _ _ zenon_H4d); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ].
% 2.71/2.87 apply (zenon_L2_ zenon_TA_bg); trivial.
% 2.71/2.87 apply (zenon_notand_s _ _ zenon_H4e); [ zenon_intro zenon_H19 | zenon_intro zenon_H4f ].
% 2.71/2.87 apply (zenon_L1_ zenon_TA_ba); trivial.
% 2.71/2.87 apply zenon_H4f. exists zenon_TA_bs. apply NNPP. zenon_intro zenon_H50.
% 2.71/2.87 apply (zenon_notand_s _ _ zenon_H50); [ zenon_intro zenon_H30 | zenon_intro zenon_H51 ].
% 2.71/2.87 exact (zenon_H30 zenon_H2b).
% 2.71/2.87 apply (zenon_notand_s _ _ zenon_H51); [ zenon_intro zenon_H53 | zenon_intro zenon_H52 ].
% 2.71/2.87 exact (zenon_H53 zenon_H4b).
% 2.71/2.87 exact (zenon_H52 zenon_H4c).
% 2.71/2.87 (* end of lemma zenon_L8_ *)
% 2.71/2.87 assert (zenon_L9_ : forall (zenon_TA_bs : zenon_U) (zenon_TA_ba : zenon_U) (zenon_TA_bg : zenon_U), (~(exists X : zenon_U, (exists Y : zenon_U, ((animal X)/\((animal Y)/\(exists Z : zenon_U, ((grain Z)/\((eats Y Z)/\(eats X Y))))))))) -> (eats zenon_TA_bg zenon_TA_ba) -> (eats zenon_TA_ba zenon_TA_bs) -> (grain zenon_TA_bs) -> (bird zenon_TA_ba) -> (fox zenon_TA_bg) -> False).
% 2.71/2.87 do 3 intro. intros zenon_G zenon_H4c zenon_H4b zenon_H2b zenon_H18 zenon_H1e.
% 2.71/2.87 apply zenon_G. exists zenon_TA_bg. apply NNPP. zenon_intro zenon_H4a.
% 2.71/2.87 apply (zenon_L8_ zenon_TA_bs zenon_TA_ba zenon_TA_bg); trivial.
% 2.71/2.87 (* end of lemma zenon_L9_ *)
% 2.71/2.87 assert (zenon_L10_ : forall (zenon_TA_bs : zenon_U) (zenon_TY_dk : zenon_U) (zenon_TA_ba : zenon_U) (zenon_TA_bg : zenon_U), (forall Y1 : zenon_U, (((animal Y1)/\((much_smaller Y1 zenon_TA_bg)/\(exists Z : zenon_U, ((plant Z)/\(eats Y1 Z)))))->(eats zenon_TA_bg Y1))) -> (animal zenon_TA_ba) -> (much_smaller zenon_TA_ba zenon_TA_bg) -> (plant zenon_TY_dk) -> (eats zenon_TA_ba zenon_TY_dk) -> (~(exists X : zenon_U, (exists Y : zenon_U, ((animal X)/\((animal Y)/\(exists Z : zenon_U, ((grain Z)/\((eats Y Z)/\(eats X Y))))))))) -> (eats zenon_TA_ba zenon_TA_bs) -> (grain zenon_TA_bs) -> (bird zenon_TA_ba) -> (fox zenon_TA_bg) -> False).
% 2.71/2.87 do 4 intro. intros zenon_H54 zenon_H1c zenon_H55 zenon_H56 zenon_H57 zenon_G zenon_H4b zenon_H2b zenon_H18 zenon_H1e.
% 2.71/2.87 generalize (zenon_H54 zenon_TA_ba). zenon_intro zenon_H59.
% 2.71/2.87 apply (zenon_imply_s _ _ zenon_H59); [ zenon_intro zenon_H5a | zenon_intro zenon_H4c ].
% 2.71/2.87 apply (zenon_notand_s _ _ zenon_H5a); [ zenon_intro zenon_H19 | zenon_intro zenon_H5b ].
% 2.71/2.87 exact (zenon_H19 zenon_H1c).
% 2.71/2.87 apply (zenon_notand_s _ _ zenon_H5b); [ zenon_intro zenon_H5d | zenon_intro zenon_H5c ].
% 2.71/2.88 exact (zenon_H5d zenon_H55).
% 2.71/2.88 apply zenon_H5c. exists zenon_TY_dk. apply NNPP. zenon_intro zenon_H5e.
% 2.71/2.88 apply (zenon_notand_s _ _ zenon_H5e); [ zenon_intro zenon_H60 | zenon_intro zenon_H5f ].
% 2.71/2.88 exact (zenon_H60 zenon_H56).
% 2.71/2.88 exact (zenon_H5f zenon_H57).
% 2.71/2.88 apply (zenon_L9_ zenon_TA_bs zenon_TA_ba zenon_TA_bg); trivial.
% 2.71/2.88 (* end of lemma zenon_L10_ *)
% 2.71/2.88 assert (zenon_L11_ : forall (zenon_TA_dw : zenon_U) (zenon_TA_ba : zenon_U), (forall Y : zenon_U, (((bird zenon_TA_ba)/\(snail Y))->(~(eats zenon_TA_ba Y)))) -> (bird zenon_TA_ba) -> (snail zenon_TA_dw) -> (eats zenon_TA_ba zenon_TA_dw) -> False).
% 2.71/2.88 do 2 intro. intros zenon_H61 zenon_H18 zenon_H62 zenon_H63.
% 2.71/2.88 generalize (zenon_H61 zenon_TA_dw). zenon_intro zenon_H65.
% 2.71/2.88 apply (zenon_imply_s _ _ zenon_H65); [ zenon_intro zenon_H67 | zenon_intro zenon_H66 ].
% 2.71/2.88 apply (zenon_notand_s _ _ zenon_H67); [ zenon_intro zenon_H1d | zenon_intro zenon_H68 ].
% 2.71/2.88 exact (zenon_H1d zenon_H18).
% 2.71/2.88 exact (zenon_H68 zenon_H62).
% 2.71/2.88 exact (zenon_H66 zenon_H63).
% 2.71/2.88 (* end of lemma zenon_L11_ *)
% 2.71/2.88 assert (zenon_L12_ : forall (zenon_TA_dw : zenon_U) (zenon_TA_ba : zenon_U), (bird zenon_TA_ba) -> (forall X : zenon_U, (((bird zenon_TA_ba)/\(snail X))->(much_smaller X zenon_TA_ba))) -> (snail zenon_TA_dw) -> (forall Y1 : zenon_U, (((animal Y1)/\((much_smaller Y1 zenon_TA_ba)/\(exists Z : zenon_U, ((plant Z)/\(eats Y1 Z)))))->(eats zenon_TA_ba Y1))) -> False).
% 2.71/2.88 do 2 intro. intros zenon_H18 zenon_H69 zenon_H62 zenon_H6a.
% 2.71/2.88 generalize (pel47_13 zenon_TA_ba). zenon_intro zenon_H61.
% 2.71/2.88 generalize (zenon_H6a zenon_TA_dw). zenon_intro zenon_H6b.
% 2.71/2.88 apply (zenon_imply_s _ _ zenon_H6b); [ zenon_intro zenon_H6c | zenon_intro zenon_H63 ].
% 2.71/2.88 apply (zenon_notand_s _ _ zenon_H6c); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ].
% 2.71/2.88 generalize (pel47_4_2 zenon_TA_dw). zenon_intro zenon_H6f.
% 2.71/2.88 apply (zenon_imply_s _ _ zenon_H6f); [ zenon_intro zenon_H68 | zenon_intro zenon_H70 ].
% 2.71/2.88 exact (zenon_H68 zenon_H62).
% 2.71/2.88 exact (zenon_H6e zenon_H70).
% 2.71/2.88 apply (zenon_notand_s _ _ zenon_H6d); [ zenon_intro zenon_H72 | zenon_intro zenon_H71 ].
% 2.71/2.88 generalize (zenon_H69 zenon_TA_dw). zenon_intro zenon_H73.
% 2.71/2.88 apply (zenon_imply_s _ _ zenon_H73); [ zenon_intro zenon_H67 | zenon_intro zenon_H74 ].
% 2.71/2.88 apply (zenon_notand_s _ _ zenon_H67); [ zenon_intro zenon_H1d | zenon_intro zenon_H68 ].
% 2.71/2.88 exact (zenon_H1d zenon_H18).
% 2.71/2.88 exact (zenon_H68 zenon_H62).
% 2.71/2.88 exact (zenon_H72 zenon_H74).
% 2.71/2.88 generalize (pel47_14a zenon_TA_dw). zenon_intro zenon_H75.
% 2.71/2.88 apply (zenon_imply_s _ _ zenon_H75); [ zenon_intro zenon_H68 | zenon_intro zenon_H76 ].
% 2.71/2.88 exact (zenon_H68 zenon_H62).
% 2.71/2.88 exact (zenon_H71 zenon_H76).
% 2.71/2.88 apply (zenon_L11_ zenon_TA_dw zenon_TA_ba); trivial.
% 2.71/2.88 (* end of lemma zenon_L12_ *)
% 2.71/2.88 apply NNPP. intro zenon_G.
% 2.71/2.88 elim wolf_type. zenon_intro zenon_TA_bm. zenon_intro zenon_H24.
% 2.71/2.88 elim fox_type. zenon_intro zenon_TA_bg. zenon_intro zenon_H1e.
% 2.71/2.88 elim bird_type. zenon_intro zenon_TA_ba. zenon_intro zenon_H18.
% 2.71/2.88 elim caterpillar_type. zenon_intro zenon_TA_ep. zenon_intro zenon_H78.
% 2.71/2.88 elim snail_type. zenon_intro zenon_TA_dw. zenon_intro zenon_H62.
% 2.71/2.88 elim grain_type. zenon_intro zenon_TA_bs. zenon_intro zenon_H2b.
% 2.71/2.88 generalize (pel47_8 zenon_TA_ba). zenon_intro zenon_H69.
% 2.71/2.88 generalize (pel47_9 zenon_TA_ba). zenon_intro zenon_H79.
% 2.71/2.88 generalize (pel47_10 zenon_TA_bg). zenon_intro zenon_H7a.
% 2.71/2.88 generalize (pel47_7 zenon_TA_ba). zenon_intro zenon_H7b.
% 2.71/2.88 apply (zenon_imply_s _ _ zenon_H7b); [ zenon_intro zenon_H19 | zenon_intro zenon_H7c ].
% 2.71/2.88 apply (zenon_L1_ zenon_TA_ba); trivial.
% 2.71/2.88 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H7d | zenon_intro zenon_H6a ].
% 2.71/2.88 generalize (pel47_14 zenon_TA_ep). zenon_intro zenon_H7e.
% 2.71/2.88 apply (zenon_imply_s _ _ zenon_H7e); [ zenon_intro zenon_H80 | zenon_intro zenon_H7f ].
% 2.71/2.88 exact (zenon_H80 zenon_H78).
% 2.71/2.88 elim zenon_H7f. zenon_intro zenon_TY_dk. zenon_intro zenon_H81.
% 2.71/2.88 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H56. zenon_intro zenon_H82.
% 2.71/2.88 generalize (zenon_H7d zenon_TY_dk). zenon_intro zenon_H83.
% 2.71/2.88 apply (zenon_imply_s _ _ zenon_H83); [ zenon_intro zenon_H60 | zenon_intro zenon_H57 ].
% 2.71/2.88 exact (zenon_H60 zenon_H56).
% 2.71/2.88 generalize (zenon_H79 zenon_TA_bg). zenon_intro zenon_H84.
% 2.71/2.88 apply (zenon_imply_s _ _ zenon_H84); [ zenon_intro zenon_H85 | zenon_intro zenon_H55 ].
% 2.71/2.88 apply (zenon_notand_s _ _ zenon_H85); [ zenon_intro zenon_H1d | zenon_intro zenon_H23 ].
% 2.71/2.88 exact (zenon_H1d zenon_H18).
% 2.71/2.88 exact (zenon_H23 zenon_H1e).
% 2.71/2.88 generalize (zenon_H7a zenon_TA_bm). zenon_intro zenon_H86.
% 2.71/2.88 apply (zenon_imply_s _ _ zenon_H86); [ zenon_intro zenon_H87 | zenon_intro zenon_H3d ].
% 2.71/2.88 apply (zenon_notand_s _ _ zenon_H87); [ zenon_intro zenon_H23 | zenon_intro zenon_H29 ].
% 2.71/2.88 exact (zenon_H23 zenon_H1e).
% 2.71/2.88 exact (zenon_H29 zenon_H24).
% 2.71/2.88 generalize (pel47_7 zenon_TA_bg). zenon_intro zenon_H88.
% 2.71/2.88 apply (zenon_imply_s _ _ zenon_H88); [ zenon_intro zenon_H1f | zenon_intro zenon_H89 ].
% 2.71/2.88 apply (zenon_L2_ zenon_TA_bg); trivial.
% 2.71/2.88 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H3c | zenon_intro zenon_H54 ].
% 2.71/2.88 apply (zenon_L6_ zenon_TA_bg zenon_TA_bs zenon_TA_bm); trivial.
% 2.71/2.88 generalize (zenon_H7d zenon_TA_bs). zenon_intro zenon_H8a.
% 2.71/2.88 apply (zenon_imply_s _ _ zenon_H8a); [ zenon_intro zenon_H33 | zenon_intro zenon_H4b ].
% 2.71/2.88 apply (zenon_L7_ zenon_TA_bs); trivial.
% 2.71/2.88 generalize (pel47_3_1 zenon_TA_ba). zenon_intro zenon_H1b.
% 2.71/2.88 apply (zenon_imply_s _ _ zenon_H1b); [ zenon_intro zenon_H1d | zenon_intro zenon_H1c ].
% 2.71/2.88 exact (zenon_H1d zenon_H18).
% 2.71/2.88 apply (zenon_L10_ zenon_TA_bs zenon_TY_dk zenon_TA_ba zenon_TA_bg); trivial.
% 2.71/2.88 apply (zenon_L12_ zenon_TA_dw zenon_TA_ba); trivial.
% 2.71/2.88 Qed.
% 2.71/2.88 % SZS output end Proof
% 2.71/2.88 (* END-PROOF *)
% 2.71/2.88 nodes searched: 208638
% 2.71/2.88 max branch formulas: 8411
% 2.71/2.88 proof nodes created: 3191
% 2.71/2.88 formulas created: 260545
% 2.71/2.88
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